0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n087.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:00:38 CST 2018
25.66/25.83	% done 11477 iterations in 25.632s
25.66/25.83	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
25.66/25.83	% SZS output start Refutation
25.66/25.85	tff(cS_INCL_LEM1_pme, conjecture,
25.66/25.85	  (((![R:((a * a * a) > $o)]:
25.66/25.85	       ((![Xa:a,Xb:a,Xc:a]:
25.66/25.85	           (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
25.66/25.85	                (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
25.66/25.85	                 (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
25.66/25.85	             ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
25.66/25.85	            R(Xa,Xb,Xc))) =>
25.66/25.85	        R(w,z,z))) & 
25.66/25.85	    (![R:((a * a * a) > $o)]:
25.66/25.85	       ((![Xa:a,Xb:a,Xc:a]:
25.66/25.85	           (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
25.66/25.85	                (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
25.66/25.85	                 (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
25.66/25.85	             ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
25.66/25.85	            R(Xa,Xb,Xc))) =>
25.66/25.85	        R(x,y,y)))) =>
25.66/25.85	   (![R:((a * a * a) > $o)]:
25.66/25.85	      ((![Xa:a,Xb:a,Xc:a]:
25.66/25.85	          (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
25.66/25.85	               (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
25.66/25.85	                (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
25.66/25.85	            ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
25.66/25.85	           R(Xa,Xb,Xc))) =>
25.66/25.85	       R(cP(x,w),cP(y,z),cP(y,z)))))).
25.66/25.85	tff(zf_stmt_0, negated_conjecture,
25.66/25.85	  (~
25.66/25.85	    (((![R:((a * a * a) > $o)]:
25.66/25.85	         ((![Xa:a,Xb:a,Xc:a]:
25.66/25.85	             (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
25.66/25.85	                  (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
25.66/25.85	                   (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
25.66/25.85	               ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
25.66/25.85	              R(Xa,Xb,Xc))) =>
25.66/25.85	          R(w,z,z))) & 
25.66/25.85	      (![R:((a * a * a) > $o)]:
25.66/25.85	         ((![Xa:a,Xb:a,Xc:a]:
25.66/25.85	             (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
25.66/25.85	                  (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
25.66/25.85	                   (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
25.66/25.85	               ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
25.66/25.85	              R(Xa,Xb,Xc))) =>
25.66/25.85	          R(x,y,y)))) =>
25.66/25.85	     (![R:((a * a * a) > $o)]:
25.66/25.85	        ((![Xa:a,Xb:a,Xc:a]:
25.66/25.85	            (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
25.66/25.85	                 (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
25.66/25.85	                  (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
25.66/25.85	              ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
25.66/25.85	             R(Xa,Xb,Xc))) =>
25.66/25.85	         R(cP(x,w),cP(y,z),cP(y,z))))))).
25.66/25.85	tff('0', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o]:
25.66/25.85	      (X0(w, z, z)
25.66/25.85	       | sk_Xc1(X0) = cP(sk_Xz11(X0), sk_Xz21(X0))
25.66/25.85	       | sk_Xa1(X0) = sk_Xc1(X0)
25.66/25.85	       | sk_Xa1(X0) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('1', plain,
25.66/25.85	    ![X1 : (a * a * a) > $o]:
25.66/25.85	      (X1(x, y, y)
25.66/25.85	       | sk_Xc(X1) = cP(sk_Xz1(X1), sk_Xz2(X1))
25.66/25.85	       | sk_Xa(X1) = sk_Xc(X1)
25.66/25.85	       | sk_Xb(X1) = sk_Xc(X1)),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('2', plain,
25.66/25.85	    ![X2 : a, X3 : a, X4 : a, X5 : a, X6 : a, X7 : a, X8 : a, X9 : a, X10 : a]:
25.66/25.85	      (sk_R(X2, X3, X4)
25.66/25.85	       | ~ sk_R(X5, X6, X7)
25.66/25.85	       | X3 != cP(X6, X8)
25.66/25.85	       | X2 != cP(X5, X9)
25.66/25.85	       | X4 != cP(X7, X10)
25.66/25.85	       | ~ sk_R(X9, X8, X10)),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('3', plain,
25.66/25.85	    ![X5 : a, X6 : a, X7 : a, X8 : a, X9 : a, X10 : a]:
25.66/25.85	      (~ sk_R(X9, X8, X10)
25.66/25.85	       | ~ sk_R(X5, X6, X7)
25.66/25.85	       | sk_R(cP(X5, X9), cP(X6, X8), cP(X7, X10))),
25.66/25.85	    inference('simplify', [status(thm)], ['2'])).
25.66/25.85	tff('4', plain, ~ sk_R(cP(x, w), cP(y, z), cP(y, z)),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('5', plain, (~ $true | ~ sk_R(x, y, y) | ~ sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['3', '4'])).
25.66/25.85	tff('6', plain, (~ sk_R(w, z, z) | ~ sk_R(x, y, y)),
25.66/25.85	    inference('simplify', [status(thm)], ['5'])).
25.66/25.85	tff('7', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | ~ sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['1', '6'])).
25.66/25.85	tff('8', plain,
25.66/25.85	    (~ sk_R(w, z, z)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.66/25.85	    inference('simplify', [status(thm)], ['7'])).
25.66/25.85	tff('9', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['0', '8'])).
25.66/25.85	tff('10', plain,
25.66/25.85	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['9'])).
25.66/25.85	tff('11', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o]:
25.66/25.85	      (X0(w, z, z)
25.66/25.85	       | sk_Xc1(X0) = cP(sk_Xz11(X0), sk_Xz21(X0))
25.66/25.85	       | sk_Xa1(X0) = sk_Xc1(X0)
25.66/25.85	       | sk_Xb1(X0) = sk_Xc1(X0)),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('12', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o]:
25.66/25.85	      (X0(w, z, z)
25.66/25.85	       | sk_Xb1(X0) = cP(sk_Xy11(X0), sk_Xy21(X0))
25.66/25.85	       | sk_Xa1(X0) = sk_Xc1(X0)
25.66/25.85	       | sk_Xb1(X0) = sk_Xc1(X0)),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('13', plain,
25.66/25.85	    ![X1 : (a * a * a) > $o]:
25.66/25.85	      (X1(x, y, y)
25.66/25.85	       | sk_Xc(X1) = cP(sk_Xz1(X1), sk_Xz2(X1))
25.66/25.85	       | sk_Xa(X1) = sk_Xc(X1)
25.66/25.85	       | sk_Xa(X1) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('14', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | ~ sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['13', '6'])).
25.66/25.85	tff('15', plain,
25.66/25.85	    (~ sk_R(w, z, z)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['14'])).
25.66/25.85	tff('16', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['12', '15'])).
25.66/25.85	tff('17', plain,
25.66/25.85	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.85	    inference('simplify', [status(thm)], ['16'])).
25.66/25.85	tff('18', plain,
25.66/25.85	    ![X1 : (a * a * a) > $o]:
25.66/25.85	      (X1(x, y, y)
25.66/25.85	       | sk_Xc(X1) = cP(sk_Xz1(X1), sk_Xz2(X1))
25.66/25.85	       | sk_Xb(X1) = c0
25.66/25.85	       | sk_Xa(X1) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('19', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | ~ sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['18', '6'])).
25.66/25.85	tff('20', plain,
25.66/25.85	    (~ sk_R(w, z, z)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['19'])).
25.66/25.85	tff('21', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['12', '20'])).
25.66/25.85	tff('22', plain,
25.66/25.85	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.85	    inference('simplify', [status(thm)], ['21'])).
25.66/25.85	tff('23', plain,
25.66/25.85	    ![X1 : (a * a * a) > $o]:
25.66/25.85	      (X1(x, y, y)
25.66/25.85	       | sk_Xb(X1) = cP(sk_Xy1(X1), sk_Xy2(X1))
25.66/25.85	       | sk_Xb(X1) = c0
25.66/25.85	       | sk_Xa(X1) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('24', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | ~ sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['23', '6'])).
25.66/25.85	tff('25', plain,
25.66/25.85	    (~ sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['24'])).
25.66/25.85	tff('26', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['11', '25'])).
25.66/25.85	tff('27', plain,
25.66/25.85	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.85	    inference('simplify', [status(thm)], ['26'])).
25.66/25.85	tff('28', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['12', '25'])).
25.66/25.85	tff('29', plain,
25.66/25.85	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.85	    inference('simplify', [status(thm)], ['28'])).
25.66/25.85	tff('30', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o]:
25.66/25.85	      (X0(w, z, z)
25.66/25.85	       | sk_Xb1(X0) = cP(sk_Xy11(X0), sk_Xy21(X0))
25.66/25.85	       | sk_Xa1(X0) = sk_Xc1(X0)
25.66/25.85	       | sk_Xa1(X0) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('31', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['0', '15'])).
25.66/25.85	tff('32', plain,
25.66/25.85	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['31'])).
25.66/25.85	tff('33', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o]:
25.66/25.85	      (X0(w, z, z)
25.66/25.85	       | sk_Xb1(X0) = cP(sk_Xy11(X0), sk_Xy21(X0))
25.66/25.85	       | sk_Xb1(X0) = c0
25.66/25.85	       | sk_Xa1(X0) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('34', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['0', '20'])).
25.66/25.85	tff('35', plain,
25.66/25.85	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['34'])).
25.66/25.85	tff('36', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o]:
25.66/25.85	      (X0(w, z, z)
25.66/25.85	       | sk_Xc1(X0) = cP(sk_Xz11(X0), sk_Xz21(X0))
25.66/25.85	       | sk_Xb1(X0) = c0
25.66/25.85	       | sk_Xa1(X0) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('37', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['36', '20'])).
25.66/25.85	tff('38', plain,
25.66/25.85	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['37'])).
25.66/25.85	tff('39', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['33', '20'])).
25.66/25.85	tff('40', plain,
25.66/25.85	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['39'])).
25.66/25.85	tff('41', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['36', '25'])).
25.66/25.85	tff('42', plain,
25.66/25.85	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['41'])).
25.66/25.85	tff('43', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['33', '25'])).
25.66/25.85	tff('44', plain,
25.66/25.85	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['43'])).
25.66/25.85	tff('45', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o]:
25.66/25.85	      (X0(w, z, z)
25.66/25.85	       | X0(sk_Xx21(X0), sk_Xy21(X0), sk_Xz21(X0))
25.66/25.85	       | sk_Xb1(X0) = c0
25.66/25.85	       | sk_Xa1(X0) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('46', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o]:
25.66/25.85	      (X0(w, z, z)
25.66/25.85	       | X0(sk_Xx11(X0), sk_Xy11(X0), sk_Xz11(X0))
25.66/25.85	       | sk_Xb1(X0) = c0
25.66/25.85	       | sk_Xa1(X0) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('47', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o]:
25.66/25.85	      (X0(w, z, z)
25.66/25.85	       | sk_Xa1(X0) = cP(sk_Xx11(X0), sk_Xx21(X0))
25.66/25.85	       | sk_Xb1(X0) = c0
25.66/25.85	       | sk_Xa1(X0) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('48', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
25.66/25.85	      (sk_R(sk_Xa1(X0), cP(X4, X3), cP(X2, X1))
25.66/25.85	       | sk_Xa1(X0) = c0
25.66/25.85	       | sk_Xb1(X0) = c0
25.66/25.85	       | X0(w, z, z)
25.66/25.85	       | ~ sk_R(sk_Xx11(X0), X4, X2)
25.66/25.85	       | ~ sk_R(sk_Xx21(X0), X3, X1)),
25.66/25.85	    inference('sup+', [status(thm)], ['47', '3'])).
25.66/25.85	tff('49', plain,
25.66/25.85	    ![X0 : a, X1 : a]:
25.66/25.85	      (~ $true
25.66/25.85	       | sk_Xa1(sk_R) = c0
25.66/25.85	       | sk_Xb1(sk_R) = c0
25.66/25.85	       | sk_R(w, z, z)
25.66/25.85	       | ~ sk_R(sk_Xx21(sk_R), X1, X0)
25.66/25.85	       | sk_R(w, z, z)
25.66/25.85	       | sk_Xb1(sk_R) = c0
25.66/25.85	       | sk_Xa1(sk_R) = c0
25.66/25.85	       | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), X1), cP(sk_Xz11(sk_R), X0))),
25.66/25.85	    inference('sup-', [status(thm)], ['46', '48'])).
25.66/25.85	tff('50', plain,
25.66/25.85	    ![X0 : a, X1 : a]:
25.66/25.85	      (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), X1), cP(sk_Xz11(sk_R), X0))
25.66/25.85	       | ~ sk_R(sk_Xx21(sk_R), X1, X0)
25.66/25.85	       | sk_R(w, z, z)
25.66/25.85	       | sk_Xb1(sk_R) = c0
25.66/25.85	       | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['49'])).
25.66/25.85	tff('51', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.85	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.85	    inference('sup-', [status(thm)], ['45', '50'])).
25.66/25.85	tff('52', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.85	       cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['51'])).
25.66/25.85	tff('53', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['44', '52'])).
25.66/25.85	tff('54', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.85	    inference('simplify', [status(thm)], ['53'])).
25.66/25.85	tff('55', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['42', '54'])).
25.66/25.85	tff('56', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['55'])).
25.66/25.85	tff('57', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o]:
25.66/25.85	      (X0(w, z, z) | ~ X0(sk_Xa1(X0), sk_Xb1(X0), sk_Xc1(X0))),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('58', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['56', '57'])).
25.66/25.85	tff('59', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['58'])).
25.66/25.85	tff('60', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['59', '25'])).
25.66/25.85	tff('61', plain,
25.66/25.85	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['60'])).
25.66/25.85	tff('62', plain,
25.66/25.85	    ![X1 : (a * a * a) > $o]:
25.66/25.85	      (X1(x, y, y)
25.66/25.85	       | X1(sk_Xx2(X1), sk_Xy2(X1), sk_Xz2(X1))
25.66/25.85	       | sk_Xb(X1) = c0
25.66/25.85	       | sk_Xa(X1) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('63', plain,
25.66/25.85	    ![X1 : (a * a * a) > $o]:
25.66/25.85	      (X1(x, y, y)
25.66/25.85	       | X1(sk_Xx1(X1), sk_Xy1(X1), sk_Xz1(X1))
25.66/25.85	       | sk_Xb(X1) = c0
25.66/25.85	       | sk_Xa(X1) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('64', plain,
25.66/25.85	    ![X1 : (a * a * a) > $o]:
25.66/25.85	      (X1(x, y, y)
25.66/25.85	       | sk_Xa(X1) = cP(sk_Xx1(X1), sk_Xx2(X1))
25.66/25.85	       | sk_Xb(X1) = c0
25.66/25.85	       | sk_Xa(X1) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('65', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
25.66/25.85	      (sk_R(sk_Xa(X0), cP(X4, X3), cP(X2, X1))
25.66/25.85	       | sk_Xa(X0) = c0
25.66/25.85	       | sk_Xb(X0) = c0
25.66/25.85	       | X0(x, y, y)
25.66/25.85	       | ~ sk_R(sk_Xx1(X0), X4, X2)
25.66/25.85	       | ~ sk_R(sk_Xx2(X0), X3, X1)),
25.66/25.85	    inference('sup+', [status(thm)], ['64', '3'])).
25.66/25.85	tff('66', plain,
25.66/25.85	    ![X0 : a, X1 : a]:
25.66/25.85	      (~ $true
25.66/25.85	       | sk_Xa(sk_R) = c0
25.66/25.85	       | sk_Xb(sk_R) = c0
25.66/25.85	       | sk_R(x, y, y)
25.66/25.85	       | ~ sk_R(sk_Xx2(sk_R), X1, X0)
25.66/25.85	       | sk_R(x, y, y)
25.66/25.85	       | sk_Xb(sk_R) = c0
25.66/25.85	       | sk_Xa(sk_R) = c0
25.66/25.85	       | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), X1), cP(sk_Xz1(sk_R), X0))),
25.66/25.85	    inference('sup-', [status(thm)], ['63', '65'])).
25.66/25.85	tff('67', plain,
25.66/25.85	    ![X0 : a, X1 : a]:
25.66/25.85	      (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), X1), cP(sk_Xz1(sk_R), X0))
25.66/25.85	       | ~ sk_R(sk_Xx2(sk_R), X1, X0)
25.66/25.85	       | sk_R(x, y, y)
25.66/25.85	       | sk_Xb(sk_R) = c0
25.66/25.85	       | sk_Xa(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['66'])).
25.66/25.85	tff('68', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(x, y, y)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(x, y, y)
25.66/25.85	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.85	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.85	    inference('sup-', [status(thm)], ['62', '67'])).
25.66/25.85	tff('69', plain,
25.66/25.85	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.85	       cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.85	     | sk_R(x, y, y)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['68'])).
25.66/25.85	tff('70', plain,
25.66/25.85	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup+', [status(thm)], ['61', '69'])).
25.66/25.85	tff('71', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.85	    inference('simplify', [status(thm)], ['70'])).
25.66/25.85	tff('72', plain,
25.66/25.85	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup+', [status(thm)], ['40', '71'])).
25.66/25.85	tff('73', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['72'])).
25.66/25.85	tff('74', plain,
25.66/25.85	    ![X1 : (a * a * a) > $o]:
25.66/25.85	      (X1(x, y, y) | ~ X1(sk_Xa(X1), sk_Xb(X1), sk_Xc(X1))),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('75', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(x, y, y)
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup-', [status(thm)], ['73', '74'])).
25.66/25.85	tff('76', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['75'])).
25.66/25.85	tff('77', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | ~ sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['76', '6'])).
25.66/25.85	tff('78', plain,
25.66/25.85	    (~ sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['77'])).
25.66/25.85	tff('79', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0),
25.66/25.85	    inference('sup-', [status(thm)], ['33', '78'])).
25.66/25.85	tff('80', plain,
25.66/25.85	    (sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['79'])).
25.66/25.85	tff('81', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['80', '52'])).
25.66/25.85	tff('82', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.85	    inference('simplify', [status(thm)], ['81'])).
25.66/25.85	tff('83', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['38', '82'])).
25.66/25.85	tff('84', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['83'])).
25.66/25.85	tff('85', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['84', '57'])).
25.66/25.85	tff('86', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['85'])).
25.66/25.85	tff('87', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['86', '20'])).
25.66/25.85	tff('88', plain,
25.66/25.85	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['87'])).
25.66/25.85	tff('89', plain,
25.66/25.85	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup+', [status(thm)], ['88', '71'])).
25.66/25.85	tff('90', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['89'])).
25.66/25.85	tff('91', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(x, y, y)
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup-', [status(thm)], ['90', '74'])).
25.66/25.85	tff('92', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['91'])).
25.66/25.85	tff('93', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | ~ sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['92', '6'])).
25.66/25.85	tff('94', plain,
25.66/25.85	    (~ sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['93'])).
25.66/25.85	tff('95', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0),
25.66/25.85	    inference('sup-', [status(thm)], ['36', '94'])).
25.66/25.85	tff('96', plain,
25.66/25.85	    (sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['95'])).
25.66/25.85	tff('97', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['96', '82'])).
25.66/25.85	tff('98', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['97'])).
25.66/25.85	tff('99', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['98', '57'])).
25.66/25.85	tff('100', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['99'])).
25.66/25.85	tff('101', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0),
25.66/25.85	    inference('sup-', [status(thm)], ['100', '94'])).
25.66/25.85	tff('102', plain,
25.66/25.85	    (sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['101'])).
25.66/25.85	tff('103', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['30', '20'])).
25.66/25.85	tff('104', plain,
25.66/25.85	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['103'])).
25.66/25.85	tff('105', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['0', '25'])).
25.66/25.85	tff('106', plain,
25.66/25.85	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['105'])).
25.66/25.85	tff('107', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['30', '25'])).
25.66/25.85	tff('108', plain,
25.66/25.85	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['107'])).
25.66/25.85	tff('109', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o]:
25.66/25.85	      (X0(w, z, z)
25.66/25.85	       | X0(sk_Xx21(X0), sk_Xy21(X0), sk_Xz21(X0))
25.66/25.85	       | sk_Xa1(X0) = sk_Xc1(X0)
25.66/25.85	       | sk_Xa1(X0) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('110', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o]:
25.66/25.85	      (X0(w, z, z)
25.66/25.85	       | X0(sk_Xx11(X0), sk_Xy11(X0), sk_Xz11(X0))
25.66/25.85	       | sk_Xa1(X0) = sk_Xc1(X0)
25.66/25.85	       | sk_Xa1(X0) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('111', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o]:
25.66/25.85	      (X0(w, z, z)
25.66/25.85	       | sk_Xa1(X0) = cP(sk_Xx11(X0), sk_Xx21(X0))
25.66/25.85	       | sk_Xa1(X0) = sk_Xc1(X0)
25.66/25.85	       | sk_Xa1(X0) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('112', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
25.66/25.85	      (sk_R(sk_Xa1(X0), cP(X4, X3), cP(X2, X1))
25.66/25.85	       | sk_Xa1(X0) = c0
25.66/25.85	       | sk_Xa1(X0) = sk_Xc1(X0)
25.66/25.85	       | X0(w, z, z)
25.66/25.85	       | ~ sk_R(sk_Xx11(X0), X4, X2)
25.66/25.85	       | ~ sk_R(sk_Xx21(X0), X3, X1)),
25.66/25.85	    inference('sup+', [status(thm)], ['111', '3'])).
25.66/25.85	tff('113', plain,
25.66/25.85	    ![X0 : a, X1 : a]:
25.66/25.85	      (~ $true
25.66/25.85	       | sk_Xa1(sk_R) = c0
25.66/25.85	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	       | sk_R(w, z, z)
25.66/25.85	       | ~ sk_R(sk_Xx21(sk_R), X1, X0)
25.66/25.85	       | sk_R(w, z, z)
25.66/25.85	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	       | sk_Xa1(sk_R) = c0
25.66/25.85	       | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), X1), cP(sk_Xz11(sk_R), X0))),
25.66/25.85	    inference('sup-', [status(thm)], ['110', '112'])).
25.66/25.85	tff('114', plain,
25.66/25.85	    ![X0 : a, X1 : a]:
25.66/25.85	      (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), X1), cP(sk_Xz11(sk_R), X0))
25.66/25.85	       | ~ sk_R(sk_Xx21(sk_R), X1, X0)
25.66/25.85	       | sk_R(w, z, z)
25.66/25.85	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	       | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['113'])).
25.66/25.85	tff('115', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.85	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.85	    inference('sup-', [status(thm)], ['109', '114'])).
25.66/25.85	tff('116', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.85	       cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['115'])).
25.66/25.85	tff('117', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['108', '116'])).
25.66/25.85	tff('118', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.85	    inference('simplify', [status(thm)], ['117'])).
25.66/25.85	tff('119', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['106', '118'])).
25.66/25.85	tff('120', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['119'])).
25.66/25.85	tff('121', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['120', '57'])).
25.66/25.85	tff('122', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['121'])).
25.66/25.85	tff('123', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['122', '25'])).
25.66/25.85	tff('124', plain,
25.66/25.85	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['123'])).
25.66/25.85	tff('125', plain,
25.66/25.85	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup+', [status(thm)], ['124', '69'])).
25.66/25.85	tff('126', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.85	    inference('simplify', [status(thm)], ['125'])).
25.66/25.85	tff('127', plain,
25.66/25.85	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup+', [status(thm)], ['104', '126'])).
25.66/25.85	tff('128', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['127'])).
25.66/25.85	tff('129', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(x, y, y)
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup-', [status(thm)], ['128', '74'])).
25.66/25.85	tff('130', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['129'])).
25.66/25.85	tff('131', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | ~ sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['130', '6'])).
25.66/25.85	tff('132', plain,
25.66/25.85	    (~ sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['131'])).
25.66/25.85	tff('133', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0),
25.66/25.85	    inference('sup-', [status(thm)], ['30', '132'])).
25.66/25.85	tff('134', plain,
25.66/25.85	    (sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['133'])).
25.66/25.85	tff('135', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['134', '116'])).
25.66/25.85	tff('136', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.85	    inference('simplify', [status(thm)], ['135'])).
25.66/25.85	tff('137', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), c0, cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['102', '136'])).
25.66/25.85	tff('138', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), c0, cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.85	    inference('simplify', [status(thm)], ['137'])).
25.66/25.85	tff('139', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['35', '138'])).
25.66/25.85	tff('140', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['139'])).
25.66/25.85	tff('141', plain,
25.66/25.85	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['102', '57'])).
25.66/25.85	tff('142', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('sup-', [status(thm)], ['140', '141'])).
25.66/25.85	tff('143', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['142'])).
25.66/25.85	tff('144', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['143', '20'])).
25.66/25.85	tff('145', plain,
25.66/25.85	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['144'])).
25.66/25.85	tff('146', plain,
25.66/25.85	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup+', [status(thm)], ['145', '126'])).
25.66/25.85	tff('147', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['146'])).
25.66/25.85	tff('148', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(x, y, y)
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup-', [status(thm)], ['147', '74'])).
25.66/25.85	tff('149', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['148'])).
25.66/25.85	tff('150', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | ~ sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['149', '6'])).
25.66/25.85	tff('151', plain,
25.66/25.85	    (~ sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['150'])).
25.66/25.85	tff('152', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0),
25.66/25.85	    inference('sup-', [status(thm)], ['0', '151'])).
25.66/25.85	tff('153', plain,
25.66/25.85	    (sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['152'])).
25.66/25.85	tff('154', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['153', '138'])).
25.66/25.85	tff('155', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['154'])).
25.66/25.85	tff('156', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('sup-', [status(thm)], ['155', '141'])).
25.66/25.85	tff('157', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['156'])).
25.66/25.85	tff('158', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0),
25.66/25.85	    inference('sup-', [status(thm)], ['157', '151'])).
25.66/25.85	tff('159', plain,
25.66/25.85	    (sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['158'])).
25.66/25.85	tff('160', plain,
25.66/25.85	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('sup-', [status(thm)], ['159', '141'])).
25.66/25.85	tff('161', plain,
25.66/25.85	    ![X2 : a, X3 : a, X4 : a]: (sk_R(X2, X3, X4) | X2 != X4 | X3 != c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('162', plain, ![X4 : a]: sk_R(X4, c0, X4),
25.66/25.85	    inference('simplify', [status(thm)], ['161'])).
25.66/25.85	tff('163', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('demod', [status(thm)], ['160', '162'])).
25.66/25.85	tff('164', plain,
25.66/25.85	    (sk_R(w, z, z) | sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['163'])).
25.66/25.85	tff('165', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['164', '25'])).
25.66/25.85	tff('166', plain,
25.66/25.85	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['165'])).
25.66/25.85	tff('167', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['164', '20'])).
25.66/25.85	tff('168', plain,
25.66/25.85	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['167'])).
25.66/25.85	tff('169', plain,
25.66/25.85	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup+', [status(thm)], ['168', '69'])).
25.66/25.85	tff('170', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['169'])).
25.66/25.85	tff('171', plain,
25.66/25.85	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup+', [status(thm)], ['166', '170'])).
25.66/25.85	tff('172', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['171'])).
25.66/25.85	tff('173', plain,
25.66/25.85	    (sk_Xa1(sk_R) = c0 | sk_Xa(sk_R) = c0 | sk_Xb(sk_R) = c0 | sk_R(x, y, y)),
25.66/25.85	    inference('clc', [status(thm)], ['172', '74'])).
25.66/25.85	tff('174', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xb(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | ~ sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['173', '6'])).
25.66/25.85	tff('175', plain,
25.66/25.85	    (~ sk_R(w, z, z)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['174'])).
25.66/25.85	tff('176', plain, (sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('clc', [status(thm)], ['175', '164'])).
25.66/25.85	tff('177', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['36', '15'])).
25.66/25.85	tff('178', plain,
25.66/25.85	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['177'])).
25.66/25.85	tff('179', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['33', '15'])).
25.66/25.85	tff('180', plain,
25.66/25.85	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['179'])).
25.66/25.85	tff('181', plain,
25.66/25.85	    ![X1 : (a * a * a) > $o]:
25.66/25.85	      (X1(x, y, y)
25.66/25.85	       | sk_Xb(X1) = cP(sk_Xy1(X1), sk_Xy2(X1))
25.66/25.85	       | sk_Xa(X1) = sk_Xc(X1)
25.66/25.85	       | sk_Xa(X1) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('182', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | ~ sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['181', '6'])).
25.66/25.85	tff('183', plain,
25.66/25.85	    (~ sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['182'])).
25.66/25.85	tff('184', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['36', '183'])).
25.66/25.85	tff('185', plain,
25.66/25.85	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['184'])).
25.66/25.85	tff('186', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['33', '183'])).
25.66/25.85	tff('187', plain,
25.66/25.85	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['186'])).
25.66/25.85	tff('188', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['187', '52'])).
25.66/25.85	tff('189', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.85	    inference('simplify', [status(thm)], ['188'])).
25.66/25.85	tff('190', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['185', '189'])).
25.66/25.85	tff('191', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['190'])).
25.66/25.85	tff('192', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['191', '57'])).
25.66/25.85	tff('193', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['192'])).
25.66/25.85	tff('194', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['193', '183'])).
25.66/25.85	tff('195', plain,
25.66/25.85	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['194'])).
25.66/25.85	tff('196', plain,
25.66/25.85	    ![X1 : (a * a * a) > $o]:
25.66/25.85	      (X1(x, y, y)
25.66/25.85	       | X1(sk_Xx2(X1), sk_Xy2(X1), sk_Xz2(X1))
25.66/25.85	       | sk_Xa(X1) = sk_Xc(X1)
25.66/25.85	       | sk_Xa(X1) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('197', plain,
25.66/25.85	    ![X1 : (a * a * a) > $o]:
25.66/25.85	      (X1(x, y, y)
25.66/25.85	       | X1(sk_Xx1(X1), sk_Xy1(X1), sk_Xz1(X1))
25.66/25.85	       | sk_Xa(X1) = sk_Xc(X1)
25.66/25.85	       | sk_Xa(X1) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('198', plain,
25.66/25.85	    ![X1 : (a * a * a) > $o]:
25.66/25.85	      (X1(x, y, y)
25.66/25.85	       | sk_Xa(X1) = cP(sk_Xx1(X1), sk_Xx2(X1))
25.66/25.85	       | sk_Xa(X1) = sk_Xc(X1)
25.66/25.85	       | sk_Xa(X1) = c0),
25.66/25.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.85	tff('199', plain,
25.66/25.85	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
25.66/25.85	      (sk_R(sk_Xa(X0), cP(X4, X3), cP(X2, X1))
25.66/25.85	       | sk_Xa(X0) = c0
25.66/25.85	       | sk_Xa(X0) = sk_Xc(X0)
25.66/25.85	       | X0(x, y, y)
25.66/25.85	       | ~ sk_R(sk_Xx1(X0), X4, X2)
25.66/25.85	       | ~ sk_R(sk_Xx2(X0), X3, X1)),
25.66/25.85	    inference('sup+', [status(thm)], ['198', '3'])).
25.66/25.85	tff('200', plain,
25.66/25.85	    ![X0 : a, X1 : a]:
25.66/25.85	      (~ $true
25.66/25.85	       | sk_Xa(sk_R) = c0
25.66/25.85	       | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	       | sk_R(x, y, y)
25.66/25.85	       | ~ sk_R(sk_Xx2(sk_R), X1, X0)
25.66/25.85	       | sk_R(x, y, y)
25.66/25.85	       | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	       | sk_Xa(sk_R) = c0
25.66/25.85	       | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), X1), cP(sk_Xz1(sk_R), X0))),
25.66/25.85	    inference('sup-', [status(thm)], ['197', '199'])).
25.66/25.85	tff('201', plain,
25.66/25.85	    ![X0 : a, X1 : a]:
25.66/25.85	      (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), X1), cP(sk_Xz1(sk_R), X0))
25.66/25.85	       | ~ sk_R(sk_Xx2(sk_R), X1, X0)
25.66/25.85	       | sk_R(x, y, y)
25.66/25.85	       | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	       | sk_Xa(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['200'])).
25.66/25.85	tff('202', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_R(x, y, y)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_R(x, y, y)
25.66/25.85	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.85	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.85	    inference('sup-', [status(thm)], ['196', '201'])).
25.66/25.85	tff('203', plain,
25.66/25.85	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.85	       cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.85	     | sk_R(x, y, y)
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['202'])).
25.66/25.85	tff('204', plain,
25.66/25.85	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup+', [status(thm)], ['195', '203'])).
25.66/25.85	tff('205', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.85	    inference('simplify', [status(thm)], ['204'])).
25.66/25.85	tff('206', plain,
25.66/25.85	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup+', [status(thm)], ['180', '205'])).
25.66/25.85	tff('207', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['206'])).
25.66/25.85	tff('208', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_R(x, y, y)
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup-', [status(thm)], ['207', '74'])).
25.66/25.85	tff('209', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['208'])).
25.66/25.85	tff('210', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | ~ sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['209', '6'])).
25.66/25.85	tff('211', plain,
25.66/25.85	    (~ sk_R(w, z, z)
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['210'])).
25.66/25.85	tff('212', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.85	    inference('sup-', [status(thm)], ['33', '211'])).
25.66/25.85	tff('213', plain,
25.66/25.85	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['212'])).
25.66/25.85	tff('214', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['213', '52'])).
25.66/25.85	tff('215', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.85	    inference('simplify', [status(thm)], ['214'])).
25.66/25.85	tff('216', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['178', '215'])).
25.66/25.85	tff('217', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['216'])).
25.66/25.85	tff('218', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['217', '57'])).
25.66/25.85	tff('219', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['218'])).
25.66/25.85	tff('220', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.85	    inference('sup-', [status(thm)], ['219', '15'])).
25.66/25.85	tff('221', plain,
25.66/25.85	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['220'])).
25.66/25.85	tff('222', plain,
25.66/25.85	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup+', [status(thm)], ['221', '205'])).
25.66/25.85	tff('223', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['222'])).
25.66/25.85	tff('224', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_R(x, y, y)
25.66/25.85	     | sk_R(x, y, y)),
25.66/25.85	    inference('sup-', [status(thm)], ['223', '74'])).
25.66/25.85	tff('225', plain,
25.66/25.85	    (sk_R(x, y, y)
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['224'])).
25.66/25.85	tff('226', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | ~ sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['225', '6'])).
25.66/25.85	tff('227', plain,
25.66/25.85	    (~ sk_R(w, z, z)
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['226'])).
25.66/25.85	tff('228', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.85	    inference('sup-', [status(thm)], ['36', '227'])).
25.66/25.85	tff('229', plain,
25.66/25.85	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.85	    inference('simplify', [status(thm)], ['228'])).
25.66/25.85	tff('230', plain,
25.66/25.85	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup+', [status(thm)], ['229', '215'])).
25.66/25.85	tff('231', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.85	    inference('simplify', [status(thm)], ['230'])).
25.66/25.85	tff('232', plain,
25.66/25.85	    (~ $true
25.66/25.85	     | sk_Xa1(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_R(w, z, z)
25.66/25.85	     | sk_R(w, z, z)),
25.66/25.85	    inference('sup-', [status(thm)], ['231', '57'])).
25.66/25.85	tff('233', plain,
25.66/25.85	    (sk_R(w, z, z)
25.66/25.85	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.85	     | sk_Xa(sk_R) = c0
25.66/25.85	     | sk_Xb1(sk_R) = c0
25.66/25.85	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['232'])).
25.66/25.86	tff('234', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.86	    inference('sup-', [status(thm)], ['233', '227'])).
25.66/25.86	tff('235', plain,
25.66/25.86	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['234'])).
25.66/25.86	tff('236', plain,
25.66/25.86	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xa(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup-', [status(thm)], ['235', '74'])).
25.66/25.86	tff('237', plain,
25.66/25.86	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xa(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['176', '236'])).
25.66/25.86	tff('238', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('demod', [status(thm)], ['237', '162'])).
25.66/25.86	tff('239', plain,
25.66/25.86	    (sk_Xb1(sk_R) = c0 | sk_R(x, y, y) | sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['238'])).
25.66/25.86	tff('240', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | ~ sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['239', '6'])).
25.66/25.86	tff('241', plain,
25.66/25.86	    (~ sk_R(w, z, z)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['240'])).
25.66/25.86	tff('242', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['33', '241'])).
25.66/25.86	tff('243', plain,
25.66/25.86	    (sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['242'])).
25.66/25.86	tff('244', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['36', '241'])).
25.66/25.86	tff('245', plain,
25.66/25.86	    (sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['244'])).
25.66/25.86	tff('246', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup+', [status(thm)], ['245', '52'])).
25.66/25.86	tff('247', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['246'])).
25.66/25.86	tff('248', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('clc', [status(thm)], ['247', '241'])).
25.66/25.86	tff('249', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('sup+', [status(thm)], ['243', '248'])).
25.66/25.86	tff('250', plain,
25.66/25.86	    (sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['249'])).
25.66/25.86	tff('251', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['250', '57'])).
25.66/25.86	tff('252', plain,
25.66/25.86	    (sk_R(w, z, z) | sk_Xa(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['251'])).
25.66/25.86	tff('253', plain, (sk_Xa1(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('clc', [status(thm)], ['252', '241'])).
25.66/25.86	tff('254', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['30', '15'])).
25.66/25.86	tff('255', plain,
25.66/25.86	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['254'])).
25.66/25.86	tff('256', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['0', '183'])).
25.66/25.86	tff('257', plain,
25.66/25.86	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['256'])).
25.66/25.86	tff('258', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['30', '183'])).
25.66/25.86	tff('259', plain,
25.66/25.86	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['258'])).
25.66/25.86	tff('260', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup+', [status(thm)], ['259', '116'])).
25.66/25.86	tff('261', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.86	    inference('simplify', [status(thm)], ['260'])).
25.66/25.86	tff('262', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup+', [status(thm)], ['257', '261'])).
25.66/25.86	tff('263', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['262'])).
25.66/25.86	tff('264', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['263', '57'])).
25.66/25.86	tff('265', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['264'])).
25.66/25.86	tff('266', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['265', '183'])).
25.66/25.86	tff('267', plain,
25.66/25.86	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['266'])).
25.66/25.86	tff('268', plain,
25.66/25.86	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup+', [status(thm)], ['267', '203'])).
25.66/25.86	tff('269', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.86	    inference('simplify', [status(thm)], ['268'])).
25.66/25.86	tff('270', plain,
25.66/25.86	    (sk_R(sk_Xa(sk_R), c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup+', [status(thm)], ['176', '269'])).
25.66/25.86	tff('271', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa(sk_R), c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.86	    inference('simplify', [status(thm)], ['270'])).
25.66/25.86	tff('272', plain,
25.66/25.86	    (sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup+', [status(thm)], ['255', '271'])).
25.66/25.86	tff('273', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['272'])).
25.66/25.86	tff('274', plain,
25.66/25.86	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup-', [status(thm)], ['176', '74'])).
25.66/25.86	tff('275', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(x, y, y)
25.66/25.86	     | sk_R(x, y, y)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['273', '274'])).
25.66/25.86	tff('276', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['275'])).
25.66/25.86	tff('277', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | ~ sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['276', '6'])).
25.66/25.86	tff('278', plain,
25.66/25.86	    (~ sk_R(w, z, z)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['277'])).
25.66/25.86	tff('279', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.86	    inference('sup-', [status(thm)], ['30', '278'])).
25.66/25.86	tff('280', plain,
25.66/25.86	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['279'])).
25.66/25.86	tff('281', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup+', [status(thm)], ['280', '116'])).
25.66/25.86	tff('282', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.86	    inference('simplify', [status(thm)], ['281'])).
25.66/25.86	tff('283', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), c0, cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup+', [status(thm)], ['253', '282'])).
25.66/25.86	tff('284', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa1(sk_R), c0, cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.86	    inference('simplify', [status(thm)], ['283'])).
25.66/25.86	tff('285', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup+', [status(thm)], ['32', '284'])).
25.66/25.86	tff('286', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['285'])).
25.66/25.86	tff('287', plain,
25.66/25.86	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['253', '57'])).
25.66/25.86	tff('288', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['286', '287'])).
25.66/25.86	tff('289', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['288'])).
25.66/25.86	tff('290', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['289', '15'])).
25.66/25.86	tff('291', plain,
25.66/25.86	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['290'])).
25.66/25.86	tff('292', plain,
25.66/25.86	    (sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup+', [status(thm)], ['291', '271'])).
25.66/25.86	tff('293', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['292'])).
25.66/25.86	tff('294', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(x, y, y)
25.66/25.86	     | sk_R(x, y, y)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['293', '274'])).
25.66/25.86	tff('295', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['294'])).
25.66/25.86	tff('296', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | ~ sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['295', '6'])).
25.66/25.86	tff('297', plain,
25.66/25.86	    (~ sk_R(w, z, z)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['296'])).
25.66/25.86	tff('298', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.86	    inference('sup-', [status(thm)], ['0', '297'])).
25.66/25.86	tff('299', plain,
25.66/25.86	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['298'])).
25.66/25.86	tff('300', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup+', [status(thm)], ['299', '284'])).
25.66/25.86	tff('301', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['300'])).
25.66/25.86	tff('302', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['301', '287'])).
25.66/25.86	tff('303', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['302'])).
25.66/25.86	tff('304', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.86	    inference('sup-', [status(thm)], ['303', '297'])).
25.66/25.86	tff('305', plain,
25.66/25.86	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['304'])).
25.66/25.86	tff('306', plain,
25.66/25.86	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['305', '287'])).
25.66/25.86	tff('307', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('demod', [status(thm)], ['306', '162'])).
25.66/25.86	tff('308', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['307'])).
25.66/25.86	tff('309', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['308', '183'])).
25.66/25.86	tff('310', plain,
25.66/25.86	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['309'])).
25.66/25.86	tff('311', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['308', '15'])).
25.66/25.86	tff('312', plain,
25.66/25.86	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['311'])).
25.66/25.86	tff('313', plain,
25.66/25.86	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup+', [status(thm)], ['312', '203'])).
25.66/25.86	tff('314', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['313'])).
25.66/25.86	tff('315', plain,
25.66/25.86	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup+', [status(thm)], ['310', '314'])).
25.66/25.86	tff('316', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['315'])).
25.66/25.86	tff('317', plain,
25.66/25.86	    (sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('clc', [status(thm)], ['316', '74'])).
25.66/25.86	tff('318', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | ~ sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['317', '6'])).
25.66/25.86	tff('319', plain,
25.66/25.86	    (~ sk_R(w, z, z)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['318'])).
25.66/25.86	tff('320', plain,
25.66/25.86	    (sk_Xa(sk_R) = sk_Xc(sk_R) | sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('clc', [status(thm)], ['319', '308'])).
25.66/25.86	tff('321', plain,
25.66/25.86	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xa(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['320', '274'])).
25.66/25.86	tff('322', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('demod', [status(thm)], ['321', '162'])).
25.66/25.86	tff('323', plain, (sk_R(x, y, y) | sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['322'])).
25.66/25.86	tff('324', plain,
25.66/25.86	    (~ $true | sk_Xa1(sk_R) = c0 | sk_Xa(sk_R) = c0 | ~ sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['323', '6'])).
25.66/25.86	tff('325', plain, (~ sk_R(w, z, z) | sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['324'])).
25.66/25.86	tff('326', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['30', '325'])).
25.66/25.86	tff('327', plain,
25.66/25.86	    (sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['326'])).
25.66/25.86	tff('328', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['0', '325'])).
25.66/25.86	tff('329', plain,
25.66/25.86	    (sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['328'])).
25.66/25.86	tff('330', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup+', [status(thm)], ['329', '116'])).
25.66/25.86	tff('331', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['330'])).
25.66/25.86	tff('332', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('clc', [status(thm)], ['331', '325'])).
25.66/25.86	tff('333', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('sup+', [status(thm)], ['327', '332'])).
25.66/25.86	tff('334', plain,
25.66/25.86	    (sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['333'])).
25.66/25.86	tff('335', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['334', '57'])).
25.66/25.86	tff('336', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['335'])).
25.66/25.86	tff('337', plain,
25.66/25.86	    (sk_Xa1(sk_R) = c0 | sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('clc', [status(thm)], ['336', '325'])).
25.66/25.86	tff('338', plain,
25.66/25.86	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['337', '287'])).
25.66/25.86	tff('339', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_Xa1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('demod', [status(thm)], ['338', '162'])).
25.66/25.86	tff('340', plain, (sk_R(w, z, z) | sk_Xa1(sk_R) = c0 | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['339'])).
25.66/25.86	tff('341', plain, (sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.86	    inference('clc', [status(thm)], ['340', '325'])).
25.66/25.86	tff('342', plain,
25.66/25.86	    ![X0 : (a * a * a) > $o]:
25.66/25.86	      (X0(w, z, z)
25.66/25.86	       | X0(sk_Xx21(X0), sk_Xy21(X0), sk_Xz21(X0))
25.66/25.86	       | sk_Xa1(X0) = sk_Xc1(X0)
25.66/25.86	       | sk_Xb1(X0) = sk_Xc1(X0)),
25.66/25.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.86	tff('343', plain,
25.66/25.86	    ![X0 : (a * a * a) > $o]:
25.66/25.86	      (X0(w, z, z)
25.66/25.86	       | X0(sk_Xx11(X0), sk_Xy11(X0), sk_Xz11(X0))
25.66/25.86	       | sk_Xa1(X0) = sk_Xc1(X0)
25.66/25.86	       | sk_Xb1(X0) = sk_Xc1(X0)),
25.66/25.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.86	tff('344', plain,
25.66/25.86	    ![X0 : (a * a * a) > $o]:
25.66/25.86	      (X0(w, z, z)
25.66/25.86	       | sk_Xa1(X0) = cP(sk_Xx11(X0), sk_Xx21(X0))
25.66/25.86	       | sk_Xa1(X0) = sk_Xc1(X0)
25.66/25.86	       | sk_Xb1(X0) = sk_Xc1(X0)),
25.66/25.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.86	tff('345', plain,
25.66/25.86	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
25.66/25.86	      (sk_R(sk_Xa1(X0), cP(X4, X3), cP(X2, X1))
25.66/25.86	       | sk_Xb1(X0) = sk_Xc1(X0)
25.66/25.86	       | sk_Xa1(X0) = sk_Xc1(X0)
25.66/25.86	       | X0(w, z, z)
25.66/25.86	       | ~ sk_R(sk_Xx11(X0), X4, X2)
25.66/25.86	       | ~ sk_R(sk_Xx21(X0), X3, X1)),
25.66/25.86	    inference('sup+', [status(thm)], ['344', '3'])).
25.66/25.86	tff('346', plain,
25.66/25.86	    ![X0 : a, X1 : a]:
25.66/25.86	      (~ $true
25.66/25.86	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	       | sk_R(w, z, z)
25.66/25.86	       | ~ sk_R(sk_Xx21(sk_R), X1, X0)
25.66/25.86	       | sk_R(w, z, z)
25.66/25.86	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	       | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), X1), cP(sk_Xz11(sk_R), X0))),
25.66/25.86	    inference('sup-', [status(thm)], ['343', '345'])).
25.66/25.86	tff('347', plain,
25.66/25.86	    ![X0 : a, X1 : a]:
25.66/25.86	      (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), X1), cP(sk_Xz11(sk_R), X0))
25.66/25.86	       | ~ sk_R(sk_Xx21(sk_R), X1, X0)
25.66/25.86	       | sk_R(w, z, z)
25.66/25.86	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['346'])).
25.66/25.86	tff('348', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.86	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.86	    inference('sup-', [status(thm)], ['342', '347'])).
25.66/25.86	tff('349', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.86	       cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['348'])).
25.66/25.86	tff('350', plain,
25.66/25.86	    (sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.86	       cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup+', [status(thm)], ['341', '349'])).
25.66/25.86	tff('351', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.86	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['350', '25'])).
25.66/25.86	tff('352', plain,
25.66/25.86	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.86	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['351'])).
25.66/25.86	tff('353', plain,
25.66/25.86	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.86	    inference('sup+', [status(thm)], ['29', '352'])).
25.66/25.86	tff('354', plain,
25.66/25.86	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.86	    inference('simplify', [status(thm)], ['353'])).
25.66/25.86	tff('355', plain,
25.66/25.86	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.86	    inference('sup+', [status(thm)], ['27', '354'])).
25.66/25.86	tff('356', plain,
25.66/25.86	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['355'])).
25.66/25.86	tff('357', plain,
25.66/25.86	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['341', '57'])).
25.66/25.86	tff('358', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['357', '25'])).
25.66/25.86	tff('359', plain,
25.66/25.86	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['358'])).
25.66/25.86	tff('360', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['356', '359'])).
25.66/25.86	tff('361', plain,
25.66/25.86	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['360'])).
25.66/25.86	tff('362', plain,
25.66/25.86	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup+', [status(thm)], ['361', '69'])).
25.66/25.86	tff('363', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.86	    inference('simplify', [status(thm)], ['362'])).
25.66/25.86	tff('364', plain,
25.66/25.86	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup+', [status(thm)], ['22', '363'])).
25.66/25.86	tff('365', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['364'])).
25.66/25.86	tff('366', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup-', [status(thm)], ['365', '74'])).
25.66/25.86	tff('367', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['366'])).
25.66/25.86	tff('368', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | ~ sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['367', '6'])).
25.66/25.86	tff('369', plain,
25.66/25.86	    (~ sk_R(w, z, z)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['368'])).
25.66/25.86	tff('370', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['12', '369'])).
25.66/25.86	tff('371', plain,
25.66/25.86	    (sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['370'])).
25.66/25.86	tff('372', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['11', '20'])).
25.66/25.86	tff('373', plain,
25.66/25.86	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['372'])).
25.66/25.86	tff('374', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.86	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['350', '20'])).
25.66/25.86	tff('375', plain,
25.66/25.86	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.86	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['374'])).
25.66/25.86	tff('376', plain,
25.66/25.86	    (sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.86	    inference('sup+', [status(thm)], ['373', '375'])).
25.66/25.86	tff('377', plain,
25.66/25.86	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['376'])).
25.66/25.86	tff('378', plain,
25.66/25.86	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.86	    inference('sup+', [status(thm)], ['371', '377'])).
25.66/25.86	tff('379', plain,
25.66/25.86	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['378'])).
25.66/25.86	tff('380', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['357', '20'])).
25.66/25.86	tff('381', plain,
25.66/25.86	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['380'])).
25.66/25.86	tff('382', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['379', '381'])).
25.66/25.86	tff('383', plain,
25.66/25.86	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['382'])).
25.66/25.86	tff('384', plain,
25.66/25.86	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup+', [status(thm)], ['383', '363'])).
25.66/25.86	tff('385', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['384'])).
25.66/25.86	tff('386', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup-', [status(thm)], ['385', '74'])).
25.66/25.86	tff('387', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['386'])).
25.66/25.86	tff('388', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | ~ sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['387', '6'])).
25.66/25.86	tff('389', plain,
25.66/25.86	    (~ sk_R(w, z, z)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['388'])).
25.66/25.86	tff('390', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['11', '389'])).
25.66/25.86	tff('391', plain,
25.66/25.86	    (sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['390'])).
25.66/25.86	tff('392', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.86	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['350', '389'])).
25.66/25.86	tff('393', plain,
25.66/25.86	    (sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.86	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['392'])).
25.66/25.86	tff('394', plain,
25.66/25.86	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0),
25.66/25.86	    inference('sup+', [status(thm)], ['371', '393'])).
25.66/25.86	tff('395', plain,
25.66/25.86	    (sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.86	    inference('simplify', [status(thm)], ['394'])).
25.66/25.86	tff('396', plain,
25.66/25.86	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0),
25.66/25.86	    inference('sup+', [status(thm)], ['391', '395'])).
25.66/25.86	tff('397', plain,
25.66/25.86	    (sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['396'])).
25.66/25.86	tff('398', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['357', '389'])).
25.66/25.86	tff('399', plain,
25.66/25.86	    (sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['398'])).
25.66/25.86	tff('400', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['397', '399'])).
25.66/25.86	tff('401', plain,
25.66/25.86	    (sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['400'])).
25.66/25.86	tff('402', plain,
25.66/25.86	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['401', '359'])).
25.66/25.86	tff('403', plain,
25.66/25.86	    ![X2 : a, X3 : a, X4 : a]: (sk_R(X2, X3, X4) | X3 != X4 | X2 != c0),
25.66/25.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.86	tff('404', plain, ![X4 : a]: sk_R(c0, X4, X4),
25.66/25.86	    inference('simplify', [status(thm)], ['403'])).
25.66/25.86	tff('405', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.86	    inference('demod', [status(thm)], ['402', '404'])).
25.66/25.86	tff('406', plain,
25.66/25.86	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['405'])).
25.66/25.86	tff('407', plain,
25.66/25.86	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['401', '381'])).
25.66/25.86	tff('408', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.86	    inference('demod', [status(thm)], ['407', '404'])).
25.66/25.86	tff('409', plain,
25.66/25.86	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['408'])).
25.66/25.86	tff('410', plain,
25.66/25.86	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup+', [status(thm)], ['409', '69'])).
25.66/25.86	tff('411', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['410'])).
25.66/25.86	tff('412', plain,
25.66/25.86	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup+', [status(thm)], ['406', '411'])).
25.66/25.86	tff('413', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['412'])).
25.66/25.86	tff('414', plain,
25.66/25.86	    (sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('clc', [status(thm)], ['413', '74'])).
25.66/25.86	tff('415', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | ~ sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['414', '6'])).
25.66/25.86	tff('416', plain,
25.66/25.86	    (~ sk_R(w, z, z)
25.66/25.86	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0),
25.66/25.86	    inference('simplify', [status(thm)], ['415'])).
25.66/25.86	tff('417', plain,
25.66/25.86	    ![X0 : (a * a * a) > $o]:
25.66/25.86	      (X0(w, z, z)
25.66/25.86	       | sk_Xc1(X0) = cP(sk_Xz11(X0), sk_Xz21(X0))
25.66/25.86	       | sk_Xb1(X0) = c0
25.66/25.86	       | sk_Xb1(X0) = sk_Xc1(X0)),
25.66/25.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.86	tff('418', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['417', '20'])).
25.66/25.86	tff('419', plain,
25.66/25.86	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['418'])).
25.66/25.86	tff('420', plain,
25.66/25.86	    ![X0 : (a * a * a) > $o]:
25.66/25.86	      (X0(w, z, z)
25.66/25.86	       | sk_Xb1(X0) = cP(sk_Xy11(X0), sk_Xy21(X0))
25.66/25.86	       | sk_Xb1(X0) = c0
25.66/25.86	       | sk_Xb1(X0) = sk_Xc1(X0)),
25.66/25.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.86	tff('421', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['420', '20'])).
25.66/25.86	tff('422', plain,
25.66/25.86	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['421'])).
25.66/25.86	tff('423', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['417', '25'])).
25.66/25.86	tff('424', plain,
25.66/25.86	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['423'])).
25.66/25.86	tff('425', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['420', '25'])).
25.66/25.86	tff('426', plain,
25.66/25.86	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['425'])).
25.66/25.86	tff('427', plain,
25.66/25.86	    ![X0 : (a * a * a) > $o]:
25.66/25.86	      (X0(w, z, z)
25.66/25.86	       | X0(sk_Xx21(X0), sk_Xy21(X0), sk_Xz21(X0))
25.66/25.86	       | sk_Xb1(X0) = c0
25.66/25.86	       | sk_Xb1(X0) = sk_Xc1(X0)),
25.66/25.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.86	tff('428', plain,
25.66/25.86	    ![X0 : (a * a * a) > $o]:
25.66/25.86	      (X0(w, z, z)
25.66/25.86	       | X0(sk_Xx11(X0), sk_Xy11(X0), sk_Xz11(X0))
25.66/25.86	       | sk_Xb1(X0) = c0
25.66/25.86	       | sk_Xb1(X0) = sk_Xc1(X0)),
25.66/25.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.86	tff('429', plain,
25.66/25.86	    ![X0 : (a * a * a) > $o]:
25.66/25.86	      (X0(w, z, z)
25.66/25.86	       | sk_Xa1(X0) = cP(sk_Xx11(X0), sk_Xx21(X0))
25.66/25.86	       | sk_Xb1(X0) = c0
25.66/25.86	       | sk_Xb1(X0) = sk_Xc1(X0)),
25.66/25.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.86	tff('430', plain,
25.66/25.86	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
25.66/25.86	      (sk_R(sk_Xa1(X0), cP(X4, X3), cP(X2, X1))
25.66/25.86	       | sk_Xb1(X0) = sk_Xc1(X0)
25.66/25.86	       | sk_Xb1(X0) = c0
25.66/25.86	       | X0(w, z, z)
25.66/25.86	       | ~ sk_R(sk_Xx11(X0), X4, X2)
25.66/25.86	       | ~ sk_R(sk_Xx21(X0), X3, X1)),
25.66/25.86	    inference('sup+', [status(thm)], ['429', '3'])).
25.66/25.86	tff('431', plain,
25.66/25.86	    ![X0 : a, X1 : a]:
25.66/25.86	      (~ $true
25.66/25.86	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	       | sk_Xb1(sk_R) = c0
25.66/25.86	       | sk_R(w, z, z)
25.66/25.86	       | ~ sk_R(sk_Xx21(sk_R), X1, X0)
25.66/25.86	       | sk_R(w, z, z)
25.66/25.86	       | sk_Xb1(sk_R) = c0
25.66/25.86	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	       | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), X1), cP(sk_Xz11(sk_R), X0))),
25.66/25.86	    inference('sup-', [status(thm)], ['428', '430'])).
25.66/25.86	tff('432', plain,
25.66/25.86	    ![X0 : a, X1 : a]:
25.66/25.86	      (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), X1), cP(sk_Xz11(sk_R), X0))
25.66/25.86	       | ~ sk_R(sk_Xx21(sk_R), X1, X0)
25.66/25.86	       | sk_R(w, z, z)
25.66/25.86	       | sk_Xb1(sk_R) = c0
25.66/25.86	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['431'])).
25.66/25.86	tff('433', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.86	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.86	    inference('sup-', [status(thm)], ['427', '432'])).
25.66/25.86	tff('434', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.86	       cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['433'])).
25.66/25.86	tff('435', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup+', [status(thm)], ['426', '434'])).
25.66/25.86	tff('436', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.86	    inference('simplify', [status(thm)], ['435'])).
25.66/25.86	tff('437', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup+', [status(thm)], ['424', '436'])).
25.66/25.86	tff('438', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['437'])).
25.66/25.86	tff('439', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['438', '57'])).
25.66/25.86	tff('440', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['439'])).
25.66/25.86	tff('441', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['440', '25'])).
25.66/25.86	tff('442', plain,
25.66/25.86	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['441'])).
25.66/25.86	tff('443', plain,
25.66/25.86	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup+', [status(thm)], ['442', '69'])).
25.66/25.86	tff('444', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.86	    inference('simplify', [status(thm)], ['443'])).
25.66/25.86	tff('445', plain,
25.66/25.86	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup+', [status(thm)], ['422', '444'])).
25.66/25.86	tff('446', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['445'])).
25.66/25.86	tff('447', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup-', [status(thm)], ['446', '74'])).
25.66/25.86	tff('448', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['447'])).
25.66/25.86	tff('449', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | ~ sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['448', '6'])).
25.66/25.86	tff('450', plain,
25.66/25.86	    (~ sk_R(w, z, z)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['449'])).
25.66/25.86	tff('451', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['420', '450'])).
25.66/25.86	tff('452', plain,
25.66/25.86	    (sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['451'])).
25.66/25.86	tff('453', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup+', [status(thm)], ['452', '434'])).
25.66/25.86	tff('454', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.86	    inference('simplify', [status(thm)], ['453'])).
25.66/25.86	tff('455', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup+', [status(thm)], ['419', '454'])).
25.66/25.86	tff('456', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['455'])).
25.66/25.86	tff('457', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['456', '57'])).
25.66/25.86	tff('458', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['457'])).
25.66/25.86	tff('459', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.86	    inference('sup-', [status(thm)], ['458', '20'])).
25.66/25.86	tff('460', plain,
25.66/25.86	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['459'])).
25.66/25.86	tff('461', plain,
25.66/25.86	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup+', [status(thm)], ['460', '444'])).
25.66/25.86	tff('462', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['461'])).
25.66/25.86	tff('463', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(x, y, y)
25.66/25.86	     | sk_R(x, y, y)),
25.66/25.86	    inference('sup-', [status(thm)], ['462', '74'])).
25.66/25.86	tff('464', plain,
25.66/25.86	    (sk_R(x, y, y)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['463'])).
25.66/25.86	tff('465', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | ~ sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['464', '6'])).
25.66/25.86	tff('466', plain,
25.66/25.86	    (~ sk_R(w, z, z)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['465'])).
25.66/25.86	tff('467', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0),
25.66/25.86	    inference('sup-', [status(thm)], ['417', '466'])).
25.66/25.86	tff('468', plain,
25.66/25.86	    (sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['467'])).
25.66/25.86	tff('469', plain,
25.66/25.86	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup+', [status(thm)], ['468', '454'])).
25.66/25.86	tff('470', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.86	    inference('simplify', [status(thm)], ['469'])).
25.66/25.86	tff('471', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_R(w, z, z)
25.66/25.86	     | sk_R(w, z, z)),
25.66/25.86	    inference('sup-', [status(thm)], ['470', '57'])).
25.66/25.86	tff('472', plain,
25.66/25.86	    (sk_R(w, z, z)
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.86	    inference('simplify', [status(thm)], ['471'])).
25.66/25.86	tff('473', plain,
25.66/25.86	    (~ $true
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.86	     | sk_Xb(sk_R) = c0
25.66/25.86	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.86	     | sk_Xb1(sk_R) = c0
25.66/25.86	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['472', '466'])).
25.66/25.87	tff('474', plain,
25.66/25.87	    (sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['473'])).
25.66/25.87	tff('475', plain,
25.66/25.87	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['474', '57'])).
25.66/25.87	tff('476', plain,
25.66/25.87	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(w, z, z)
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['341', '475'])).
25.66/25.87	tff('477', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(w, z, z)
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('demod', [status(thm)], ['476', '404'])).
25.66/25.87	tff('478', plain,
25.66/25.87	    (sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = c0 | sk_R(w, z, z) | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['477'])).
25.66/25.87	tff('479', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['478', '25'])).
25.66/25.87	tff('480', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['479'])).
25.66/25.87	tff('481', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['478', '20'])).
25.66/25.87	tff('482', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['481'])).
25.66/25.87	tff('483', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['482', '69'])).
25.66/25.87	tff('484', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['483'])).
25.66/25.87	tff('485', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['480', '484'])).
25.66/25.87	tff('486', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['485'])).
25.66/25.87	tff('487', plain,
25.66/25.87	    (sk_Xa(sk_R) = c0 | sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_R(x, y, y)),
25.66/25.87	    inference('clc', [status(thm)], ['486', '74'])).
25.66/25.87	tff('488', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | ~ sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['487', '6'])).
25.66/25.87	tff('489', plain,
25.66/25.87	    (~ sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['488'])).
25.66/25.87	tff('490', plain, (sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('clc', [status(thm)], ['489', '478'])).
25.66/25.87	tff('491', plain,
25.66/25.87	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['490', '57'])).
25.66/25.87	tff('492', plain,
25.66/25.87	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xb1(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_R(w, z, z)
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['401', '491'])).
25.66/25.87	tff('493', plain,
25.66/25.87	    (sk_R(w, z, z)
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | ~ sk_R(sk_Xa1(sk_R), c0, sk_Xb1(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['492'])).
25.66/25.87	tff('494', plain,
25.66/25.87	    (~ sk_R(sk_Xa1(sk_R), c0, c0)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['490', '493'])).
25.66/25.87	tff('495', plain,
25.66/25.87	    (sk_R(w, z, z)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | ~ sk_R(sk_Xa1(sk_R), c0, c0)),
25.66/25.87	    inference('simplify', [status(thm)], ['494'])).
25.66/25.87	tff('496', plain,
25.66/25.87	    (~ sk_R(c0, c0, c0)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['341', '495'])).
25.66/25.87	tff('497', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(w, z, z)),
25.66/25.87	    inference('demod', [status(thm)], ['496', '404'])).
25.66/25.87	tff('498', plain,
25.66/25.87	    (sk_R(w, z, z)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['497'])).
25.66/25.87	tff('499', plain,
25.66/25.87	    (sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('clc', [status(thm)], ['416', '498'])).
25.66/25.87	tff('500', plain,
25.66/25.87	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_R(w, z, z)
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['499', '491'])).
25.66/25.87	tff('501', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_R(w, z, z)
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('demod', [status(thm)], ['500', '162'])).
25.66/25.87	tff('502', plain, (sk_R(w, z, z) | sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['501'])).
25.66/25.87	tff('503', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['502', '25'])).
25.66/25.87	tff('504', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['503'])).
25.66/25.87	tff('505', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['502', '20'])).
25.66/25.87	tff('506', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['505'])).
25.66/25.87	tff('507', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['506', '69'])).
25.66/25.87	tff('508', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['507'])).
25.66/25.87	tff('509', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['504', '508'])).
25.66/25.87	tff('510', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['509'])).
25.66/25.87	tff('511', plain, (sk_Xa(sk_R) = c0 | sk_Xb(sk_R) = c0 | sk_R(x, y, y)),
25.66/25.87	    inference('clc', [status(thm)], ['510', '74'])).
25.66/25.87	tff('512', plain,
25.66/25.87	    (~ $true | sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0 | ~ sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['511', '6'])).
25.66/25.87	tff('513', plain, (~ sk_R(w, z, z) | sk_Xa(sk_R) = c0 | sk_Xb(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['512'])).
25.66/25.87	tff('514', plain, (sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('clc', [status(thm)], ['513', '502'])).
25.66/25.87	tff('515', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['11', '183'])).
25.66/25.87	tff('516', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['515'])).
25.66/25.87	tff('517', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['12', '183'])).
25.66/25.87	tff('518', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['517'])).
25.66/25.87	tff('519', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['350', '183'])).
25.66/25.87	tff('520', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['519'])).
25.66/25.87	tff('521', plain,
25.66/25.87	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup+', [status(thm)], ['518', '520'])).
25.66/25.87	tff('522', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.87	    inference('simplify', [status(thm)], ['521'])).
25.66/25.87	tff('523', plain,
25.66/25.87	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup+', [status(thm)], ['516', '522'])).
25.66/25.87	tff('524', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['523'])).
25.66/25.87	tff('525', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['357', '183'])).
25.66/25.87	tff('526', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['525'])).
25.66/25.87	tff('527', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['524', '526'])).
25.66/25.87	tff('528', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['527'])).
25.66/25.87	tff('529', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['528', '203'])).
25.66/25.87	tff('530', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.87	    inference('simplify', [status(thm)], ['529'])).
25.66/25.87	tff('531', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['514', '530'])).
25.66/25.87	tff('532', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(sk_Xa(sk_R), c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.87	    inference('simplify', [status(thm)], ['531'])).
25.66/25.87	tff('533', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['17', '532'])).
25.66/25.87	tff('534', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['533'])).
25.66/25.87	tff('535', plain,
25.66/25.87	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R)) | sk_Xa(sk_R) = c0 | sk_R(x, y, y)),
25.66/25.87	    inference('sup-', [status(thm)], ['514', '74'])).
25.66/25.87	tff('536', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)
25.66/25.87	     | sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['534', '535'])).
25.66/25.87	tff('537', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['536'])).
25.66/25.87	tff('538', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | ~ sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['537', '6'])).
25.66/25.87	tff('539', plain,
25.66/25.87	    (~ sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['538'])).
25.66/25.87	tff('540', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('sup-', [status(thm)], ['12', '539'])).
25.66/25.87	tff('541', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['540'])).
25.66/25.87	tff('542', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['11', '15'])).
25.66/25.87	tff('543', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['542'])).
25.66/25.87	tff('544', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['350', '15'])).
25.66/25.87	tff('545', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['544'])).
25.66/25.87	tff('546', plain,
25.66/25.87	    (sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup+', [status(thm)], ['543', '545'])).
25.66/25.87	tff('547', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['546'])).
25.66/25.87	tff('548', plain,
25.66/25.87	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup+', [status(thm)], ['541', '547'])).
25.66/25.87	tff('549', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['548'])).
25.66/25.87	tff('550', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['357', '15'])).
25.66/25.87	tff('551', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['550'])).
25.66/25.87	tff('552', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['549', '551'])).
25.66/25.87	tff('553', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['552'])).
25.66/25.87	tff('554', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['553', '532'])).
25.66/25.87	tff('555', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['554'])).
25.66/25.87	tff('556', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)
25.66/25.87	     | sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['555', '535'])).
25.66/25.87	tff('557', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['556'])).
25.66/25.87	tff('558', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | ~ sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['557', '6'])).
25.66/25.87	tff('559', plain,
25.66/25.87	    (~ sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['558'])).
25.66/25.87	tff('560', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('sup-', [status(thm)], ['11', '559'])).
25.66/25.87	tff('561', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['560'])).
25.66/25.87	tff('562', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('sup-', [status(thm)], ['350', '559'])).
25.66/25.87	tff('563', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['562'])).
25.66/25.87	tff('564', plain,
25.66/25.87	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('sup+', [status(thm)], ['541', '563'])).
25.66/25.87	tff('565', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.87	    inference('simplify', [status(thm)], ['564'])).
25.66/25.87	tff('566', plain,
25.66/25.87	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('sup+', [status(thm)], ['561', '565'])).
25.66/25.87	tff('567', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['566'])).
25.66/25.87	tff('568', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('sup-', [status(thm)], ['357', '559'])).
25.66/25.87	tff('569', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['568'])).
25.66/25.87	tff('570', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('sup-', [status(thm)], ['567', '569'])).
25.66/25.87	tff('571', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['570'])).
25.66/25.87	tff('572', plain,
25.66/25.87	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['571', '526'])).
25.66/25.87	tff('573', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('demod', [status(thm)], ['572', '404'])).
25.66/25.87	tff('574', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['573'])).
25.66/25.87	tff('575', plain,
25.66/25.87	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['571', '551'])).
25.66/25.87	tff('576', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('demod', [status(thm)], ['575', '404'])).
25.66/25.87	tff('577', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['576'])).
25.66/25.87	tff('578', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['577', '203'])).
25.66/25.87	tff('579', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['578'])).
25.66/25.87	tff('580', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['574', '579'])).
25.66/25.87	tff('581', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['580'])).
25.66/25.87	tff('582', plain,
25.66/25.87	    (sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('clc', [status(thm)], ['581', '74'])).
25.66/25.87	tff('583', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | ~ sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['582', '6'])).
25.66/25.87	tff('584', plain,
25.66/25.87	    (~ sk_R(w, z, z)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['583'])).
25.66/25.87	tff('585', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['420', '15'])).
25.66/25.87	tff('586', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['585'])).
25.66/25.87	tff('587', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['417', '183'])).
25.66/25.87	tff('588', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['587'])).
25.66/25.87	tff('589', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['420', '183'])).
25.66/25.87	tff('590', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['589'])).
25.66/25.87	tff('591', plain,
25.66/25.87	    (sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	       cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_R(w, z, z)),
25.66/25.87	    inference('sup+', [status(thm)], ['341', '434'])).
25.66/25.87	tff('592', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['591', '183'])).
25.66/25.87	tff('593', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['592'])).
25.66/25.87	tff('594', plain,
25.66/25.87	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup+', [status(thm)], ['590', '593'])).
25.66/25.87	tff('595', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.87	    inference('simplify', [status(thm)], ['594'])).
25.66/25.87	tff('596', plain,
25.66/25.87	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup+', [status(thm)], ['588', '595'])).
25.66/25.87	tff('597', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['596'])).
25.66/25.87	tff('598', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['597', '526'])).
25.66/25.87	tff('599', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['598'])).
25.66/25.87	tff('600', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['599', '203'])).
25.66/25.87	tff('601', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.87	    inference('simplify', [status(thm)], ['600'])).
25.66/25.87	tff('602', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['586', '601'])).
25.66/25.87	tff('603', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['602'])).
25.66/25.87	tff('604', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup-', [status(thm)], ['603', '74'])).
25.66/25.87	tff('605', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['604'])).
25.66/25.87	tff('606', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | ~ sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['605', '6'])).
25.66/25.87	tff('607', plain,
25.66/25.87	    (~ sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['606'])).
25.66/25.87	tff('608', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('sup-', [status(thm)], ['420', '607'])).
25.66/25.87	tff('609', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['608'])).
25.66/25.87	tff('610', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['417', '15'])).
25.66/25.87	tff('611', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['610'])).
25.66/25.87	tff('612', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['591', '15'])).
25.66/25.87	tff('613', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['612'])).
25.66/25.87	tff('614', plain,
25.66/25.87	    (sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup+', [status(thm)], ['611', '613'])).
25.66/25.87	tff('615', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['614'])).
25.66/25.87	tff('616', plain,
25.66/25.87	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup+', [status(thm)], ['609', '615'])).
25.66/25.87	tff('617', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['616'])).
25.66/25.87	tff('618', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['617', '551'])).
25.66/25.87	tff('619', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['618'])).
25.66/25.87	tff('620', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['619', '601'])).
25.66/25.87	tff('621', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['620'])).
25.66/25.87	tff('622', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup-', [status(thm)], ['621', '74'])).
25.66/25.87	tff('623', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['622'])).
25.66/25.87	tff('624', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | ~ sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['623', '6'])).
25.66/25.87	tff('625', plain,
25.66/25.87	    (~ sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['624'])).
25.66/25.87	tff('626', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('sup-', [status(thm)], ['417', '625'])).
25.66/25.87	tff('627', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['626'])).
25.66/25.87	tff('628', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('sup-', [status(thm)], ['591', '625'])).
25.66/25.87	tff('629', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['628'])).
25.66/25.87	tff('630', plain,
25.66/25.87	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('sup+', [status(thm)], ['609', '629'])).
25.66/25.87	tff('631', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.87	    inference('simplify', [status(thm)], ['630'])).
25.66/25.87	tff('632', plain,
25.66/25.87	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('sup+', [status(thm)], ['627', '631'])).
25.66/25.87	tff('633', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['632'])).
25.66/25.87	tff('634', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('sup-', [status(thm)], ['357', '625'])).
25.66/25.87	tff('635', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['634'])).
25.66/25.87	tff('636', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('sup-', [status(thm)], ['633', '635'])).
25.66/25.87	tff('637', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['636'])).
25.66/25.87	tff('638', plain,
25.66/25.87	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['637', '526'])).
25.66/25.87	tff('639', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('demod', [status(thm)], ['638', '404'])).
25.66/25.87	tff('640', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['639'])).
25.66/25.87	tff('641', plain,
25.66/25.87	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['637', '551'])).
25.66/25.87	tff('642', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('demod', [status(thm)], ['641', '404'])).
25.66/25.87	tff('643', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['642'])).
25.66/25.87	tff('644', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['643', '203'])).
25.66/25.87	tff('645', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['644'])).
25.66/25.87	tff('646', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['640', '645'])).
25.66/25.87	tff('647', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['646'])).
25.66/25.87	tff('648', plain,
25.66/25.87	    (sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('clc', [status(thm)], ['647', '74'])).
25.66/25.87	tff('649', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | ~ sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['648', '6'])).
25.66/25.87	tff('650', plain,
25.66/25.87	    (~ sk_R(w, z, z)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['649'])).
25.66/25.87	tff('651', plain,
25.66/25.87	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['637', '57'])).
25.66/25.87	tff('652', plain,
25.66/25.87	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['341', '651'])).
25.66/25.87	tff('653', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('demod', [status(thm)], ['652', '404'])).
25.66/25.87	tff('654', plain,
25.66/25.87	    (sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['653'])).
25.66/25.87	tff('655', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R) | sk_Xa(sk_R) = c0 | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('clc', [status(thm)], ['650', '654'])).
25.66/25.87	tff('656', plain,
25.66/25.87	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xa(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup-', [status(thm)], ['655', '74'])).
25.66/25.87	tff('657', plain,
25.66/25.87	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xa(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['514', '656'])).
25.66/25.87	tff('658', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('demod', [status(thm)], ['657', '162'])).
25.66/25.87	tff('659', plain, (sk_Xb1(sk_R) = c0 | sk_R(x, y, y) | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['658'])).
25.66/25.87	tff('660', plain,
25.66/25.87	    (~ $true | sk_Xa(sk_R) = c0 | sk_Xb1(sk_R) = c0 | ~ sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['659', '6'])).
25.66/25.87	tff('661', plain, (~ sk_R(w, z, z) | sk_Xb1(sk_R) = c0 | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['660'])).
25.66/25.87	tff('662', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['417', '661'])).
25.66/25.87	tff('663', plain,
25.66/25.87	    (sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['662'])).
25.66/25.87	tff('664', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['420', '661'])).
25.66/25.87	tff('665', plain,
25.66/25.87	    (sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['664'])).
25.66/25.87	tff('666', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['591', '661'])).
25.66/25.87	tff('667', plain,
25.66/25.87	    (sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	       cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['666'])).
25.66/25.87	tff('668', plain,
25.66/25.87	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup+', [status(thm)], ['665', '667'])).
25.66/25.87	tff('669', plain,
25.66/25.87	    (sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.87	    inference('simplify', [status(thm)], ['668'])).
25.66/25.87	tff('670', plain,
25.66/25.87	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup+', [status(thm)], ['663', '669'])).
25.66/25.87	tff('671', plain,
25.66/25.87	    (sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['670'])).
25.66/25.87	tff('672', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['357', '661'])).
25.66/25.87	tff('673', plain,
25.66/25.87	    (sk_Xb1(sk_R) = c0
25.66/25.87	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['672'])).
25.66/25.87	tff('674', plain,
25.66/25.87	    (sk_Xb1(sk_R) = sk_Xc1(sk_R) | sk_Xb1(sk_R) = c0 | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('clc', [status(thm)], ['671', '673'])).
25.66/25.87	tff('675', plain,
25.66/25.87	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['674', '673'])).
25.66/25.87	tff('676', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = c0),
25.66/25.87	    inference('demod', [status(thm)], ['675', '404'])).
25.66/25.87	tff('677', plain, (sk_Xb1(sk_R) = c0 | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['676'])).
25.66/25.87	tff('678', plain,
25.66/25.87	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['677', '57'])).
25.66/25.87	tff('679', plain,
25.66/25.87	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xb1(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['571', '678'])).
25.66/25.87	tff('680', plain,
25.66/25.87	    (sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | ~ sk_R(sk_Xa1(sk_R), c0, sk_Xb1(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['679'])).
25.66/25.87	tff('681', plain,
25.66/25.87	    (~ sk_R(sk_Xa1(sk_R), c0, c0)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['677', '680'])).
25.66/25.87	tff('682', plain,
25.66/25.87	    (sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | ~ sk_R(sk_Xa1(sk_R), c0, c0)),
25.66/25.87	    inference('simplify', [status(thm)], ['681'])).
25.66/25.87	tff('683', plain,
25.66/25.87	    (~ sk_R(c0, c0, c0)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['341', '682'])).
25.66/25.87	tff('684', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(w, z, z)),
25.66/25.87	    inference('demod', [status(thm)], ['683', '404'])).
25.66/25.87	tff('685', plain,
25.66/25.87	    (sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['684'])).
25.66/25.87	tff('686', plain,
25.66/25.87	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('clc', [status(thm)], ['584', '685'])).
25.66/25.87	tff('687', plain,
25.66/25.87	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['686', '678'])).
25.66/25.87	tff('688', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('demod', [status(thm)], ['687', '162'])).
25.66/25.87	tff('689', plain,
25.66/25.87	    (sk_R(w, z, z) | sk_Xa(sk_R) = sk_Xc(sk_R) | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['688'])).
25.66/25.87	tff('690', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['689', '183'])).
25.66/25.87	tff('691', plain,
25.66/25.87	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['690'])).
25.66/25.87	tff('692', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['689', '15'])).
25.66/25.87	tff('693', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['692'])).
25.66/25.87	tff('694', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['693', '203'])).
25.66/25.87	tff('695', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['694'])).
25.66/25.87	tff('696', plain,
25.66/25.87	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_R(x, y, y)),
25.66/25.87	    inference('sup+', [status(thm)], ['691', '695'])).
25.66/25.87	tff('697', plain,
25.66/25.87	    (sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['696'])).
25.66/25.87	tff('698', plain,
25.66/25.87	    (sk_Xa(sk_R) = c0 | sk_Xa(sk_R) = sk_Xc(sk_R) | sk_R(x, y, y)),
25.66/25.87	    inference('clc', [status(thm)], ['697', '74'])).
25.66/25.87	tff('699', plain,
25.66/25.87	    (~ $true | sk_Xa(sk_R) = sk_Xc(sk_R) | sk_Xa(sk_R) = c0 | ~ sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['698', '6'])).
25.66/25.87	tff('700', plain,
25.66/25.87	    (~ sk_R(w, z, z) | sk_Xa(sk_R) = c0 | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['699'])).
25.66/25.87	tff('701', plain, (sk_Xa(sk_R) = sk_Xc(sk_R) | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('clc', [status(thm)], ['700', '689'])).
25.66/25.87	tff('702', plain,
25.66/25.87	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xa(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(x, y, y)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['701', '535'])).
25.66/25.87	tff('703', plain,
25.66/25.87	    (~ $true | sk_Xa(sk_R) = c0 | sk_R(x, y, y) | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('demod', [status(thm)], ['702', '162'])).
25.66/25.87	tff('704', plain, (sk_R(x, y, y) | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['703'])).
25.66/25.87	tff('705', plain, (~ $true | sk_Xa(sk_R) = c0 | ~ sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['704', '6'])).
25.66/25.87	tff('706', plain, (~ sk_R(w, z, z) | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['705'])).
25.66/25.87	tff('707', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['11', '706'])).
25.66/25.87	tff('708', plain,
25.66/25.87	    (sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['707'])).
25.66/25.87	tff('709', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['12', '706'])).
25.66/25.87	tff('710', plain,
25.66/25.87	    (sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['709'])).
25.66/25.87	tff('711', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['350', '706'])).
25.66/25.87	tff('712', plain,
25.66/25.87	    (sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.87	       cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['711'])).
25.66/25.87	tff('713', plain,
25.66/25.87	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup+', [status(thm)], ['710', '712'])).
25.66/25.87	tff('714', plain,
25.66/25.87	    (sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.87	    inference('simplify', [status(thm)], ['713'])).
25.66/25.87	tff('715', plain,
25.66/25.87	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup+', [status(thm)], ['708', '714'])).
25.66/25.87	tff('716', plain,
25.66/25.87	    (sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.87	    inference('simplify', [status(thm)], ['715'])).
25.66/25.87	tff('717', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['357', '706'])).
25.66/25.87	tff('718', plain,
25.66/25.87	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R)) | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['717'])).
25.66/25.87	tff('719', plain,
25.66/25.87	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('clc', [status(thm)], ['716', '718'])).
25.66/25.87	tff('720', plain,
25.66/25.87	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['719', '718'])).
25.66/25.87	tff('721', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('demod', [status(thm)], ['720', '404'])).
25.66/25.87	tff('722', plain, (sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['721'])).
25.66/25.87	tff('723', plain,
25.66/25.87	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
25.66/25.87	     | sk_Xa(sk_R) = c0
25.66/25.87	     | sk_R(w, z, z)
25.66/25.87	     | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('sup-', [status(thm)], ['722', '678'])).
25.66/25.87	tff('724', plain,
25.66/25.87	    (~ $true | sk_Xa(sk_R) = c0 | sk_R(w, z, z) | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('demod', [status(thm)], ['723', '162'])).
25.66/25.87	tff('725', plain, (sk_R(w, z, z) | sk_Xa(sk_R) = c0),
25.66/25.87	    inference('simplify', [status(thm)], ['724'])).
25.66/25.87	tff('726', plain, sk_Xa(sk_R) = c0,
25.66/25.87	    inference('clc', [status(thm)], ['725', '706'])).
25.66/25.87	tff('727', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | c0 = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xa1(sk_R) = c0),
25.66/25.87	    inference('demod', [status(thm)], ['10', '726'])).
25.66/25.87	tff('728', plain,
25.66/25.87	    ![X1 : (a * a * a) > $o]:
25.66/25.87	      (X1(x, y, y)
25.66/25.87	       | sk_Xc(X1) = cP(sk_Xz1(X1), sk_Xz2(X1))
25.66/25.87	       | sk_Xb(X1) = c0
25.66/25.87	       | sk_Xb(X1) = sk_Xc(X1)),
25.66/25.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.87	tff('729', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | ~ sk_R(w, z, z)),
25.66/25.87	    inference('sup-', [status(thm)], ['728', '6'])).
25.66/25.87	tff('730', plain,
25.66/25.87	    (~ sk_R(w, z, z)
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.66/25.87	    inference('simplify', [status(thm)], ['729'])).
25.66/25.87	tff('731', plain,
25.66/25.87	    (~ $true
25.66/25.87	     | sk_Xa1(sk_R) = c0
25.66/25.87	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.87	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.87	    inference('sup-', [status(thm)], ['0', '730'])).
25.66/25.87	tff('732', plain,
25.66/25.87	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.87	     | sk_Xb(sk_R) = c0
25.66/25.87	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.87	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['731'])).
25.66/25.88	tff('733', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['36', '730'])).
25.66/25.88	tff('734', plain,
25.66/25.88	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['733'])).
25.66/25.88	tff('735', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['33', '730'])).
25.66/25.88	tff('736', plain,
25.66/25.88	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['735'])).
25.66/25.88	tff('737', plain,
25.66/25.88	    ![X1 : (a * a * a) > $o]:
25.66/25.88	      (X1(x, y, y)
25.66/25.88	       | sk_Xb(X1) = cP(sk_Xy1(X1), sk_Xy2(X1))
25.66/25.88	       | sk_Xb(X1) = c0
25.66/25.88	       | sk_Xb(X1) = sk_Xc(X1)),
25.66/25.88	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.88	tff('738', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | ~ sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['737', '6'])).
25.66/25.88	tff('739', plain,
25.66/25.88	    (~ sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.66/25.88	    inference('simplify', [status(thm)], ['738'])).
25.66/25.88	tff('740', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['36', '739'])).
25.66/25.88	tff('741', plain,
25.66/25.88	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['740'])).
25.66/25.88	tff('742', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['33', '739'])).
25.66/25.88	tff('743', plain,
25.66/25.88	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['742'])).
25.66/25.88	tff('744', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['743', '52'])).
25.66/25.88	tff('745', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.88	    inference('simplify', [status(thm)], ['744'])).
25.66/25.88	tff('746', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['741', '745'])).
25.66/25.88	tff('747', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['746'])).
25.66/25.88	tff('748', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['747', '57'])).
25.66/25.88	tff('749', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['748'])).
25.66/25.88	tff('750', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['749', '739'])).
25.66/25.88	tff('751', plain,
25.66/25.88	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['750'])).
25.66/25.88	tff('752', plain,
25.66/25.88	    ![X1 : (a * a * a) > $o]:
25.66/25.88	      (X1(x, y, y)
25.66/25.88	       | X1(sk_Xx2(X1), sk_Xy2(X1), sk_Xz2(X1))
25.66/25.88	       | sk_Xb(X1) = c0
25.66/25.88	       | sk_Xb(X1) = sk_Xc(X1)),
25.66/25.88	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.88	tff('753', plain,
25.66/25.88	    ![X1 : (a * a * a) > $o]:
25.66/25.88	      (X1(x, y, y)
25.66/25.88	       | X1(sk_Xx1(X1), sk_Xy1(X1), sk_Xz1(X1))
25.66/25.88	       | sk_Xb(X1) = c0
25.66/25.88	       | sk_Xb(X1) = sk_Xc(X1)),
25.66/25.88	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.88	tff('754', plain,
25.66/25.88	    ![X1 : (a * a * a) > $o]:
25.66/25.88	      (X1(x, y, y)
25.66/25.88	       | sk_Xa(X1) = cP(sk_Xx1(X1), sk_Xx2(X1))
25.66/25.88	       | sk_Xb(X1) = c0
25.66/25.88	       | sk_Xb(X1) = sk_Xc(X1)),
25.66/25.88	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.88	tff('755', plain,
25.66/25.88	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
25.66/25.88	      (sk_R(sk_Xa(X0), cP(X4, X3), cP(X2, X1))
25.66/25.88	       | sk_Xb(X0) = sk_Xc(X0)
25.66/25.88	       | sk_Xb(X0) = c0
25.66/25.88	       | X0(x, y, y)
25.66/25.88	       | ~ sk_R(sk_Xx1(X0), X4, X2)
25.66/25.88	       | ~ sk_R(sk_Xx2(X0), X3, X1)),
25.66/25.88	    inference('sup+', [status(thm)], ['754', '3'])).
25.66/25.88	tff('756', plain,
25.66/25.88	    ![X0 : a, X1 : a]:
25.66/25.88	      (~ $true
25.66/25.88	       | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	       | sk_Xb(sk_R) = c0
25.66/25.88	       | sk_R(x, y, y)
25.66/25.88	       | ~ sk_R(sk_Xx2(sk_R), X1, X0)
25.66/25.88	       | sk_R(x, y, y)
25.66/25.88	       | sk_Xb(sk_R) = c0
25.66/25.88	       | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	       | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), X1), cP(sk_Xz1(sk_R), X0))),
25.66/25.88	    inference('sup-', [status(thm)], ['753', '755'])).
25.66/25.88	tff('757', plain,
25.66/25.88	    ![X0 : a, X1 : a]:
25.66/25.88	      (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), X1), cP(sk_Xz1(sk_R), X0))
25.66/25.88	       | ~ sk_R(sk_Xx2(sk_R), X1, X0)
25.66/25.88	       | sk_R(x, y, y)
25.66/25.88	       | sk_Xb(sk_R) = c0
25.66/25.88	       | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.66/25.88	    inference('simplify', [status(thm)], ['756'])).
25.66/25.88	tff('758', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(x, y, y)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(x, y, y)
25.66/25.88	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.88	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.88	    inference('sup-', [status(thm)], ['752', '757'])).
25.66/25.88	tff('759', plain,
25.66/25.88	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.88	       cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.88	     | sk_R(x, y, y)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.66/25.88	    inference('simplify', [status(thm)], ['758'])).
25.66/25.88	tff('760', plain,
25.66/25.88	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(x, y, y)),
25.66/25.88	    inference('sup+', [status(thm)], ['751', '759'])).
25.66/25.88	tff('761', plain,
25.66/25.88	    (sk_R(x, y, y)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.88	    inference('simplify', [status(thm)], ['760'])).
25.66/25.88	tff('762', plain,
25.66/25.88	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(x, y, y)),
25.66/25.88	    inference('sup+', [status(thm)], ['736', '761'])).
25.66/25.88	tff('763', plain,
25.66/25.88	    (sk_R(x, y, y)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['762'])).
25.66/25.88	tff('764', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(x, y, y)
25.66/25.88	     | sk_R(x, y, y)),
25.66/25.88	    inference('sup-', [status(thm)], ['763', '74'])).
25.66/25.88	tff('765', plain,
25.66/25.88	    (sk_R(x, y, y)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['764'])).
25.66/25.88	tff('766', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | ~ sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['765', '6'])).
25.66/25.88	tff('767', plain,
25.66/25.88	    (~ sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['766'])).
25.66/25.88	tff('768', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup-', [status(thm)], ['33', '767'])).
25.66/25.88	tff('769', plain,
25.66/25.88	    (sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['768'])).
25.66/25.88	tff('770', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['769', '52'])).
25.66/25.88	tff('771', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.88	    inference('simplify', [status(thm)], ['770'])).
25.66/25.88	tff('772', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['734', '771'])).
25.66/25.88	tff('773', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['772'])).
25.66/25.88	tff('774', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['773', '57'])).
25.66/25.88	tff('775', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['774'])).
25.66/25.88	tff('776', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['775', '730'])).
25.66/25.88	tff('777', plain,
25.66/25.88	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['776'])).
25.66/25.88	tff('778', plain,
25.66/25.88	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(x, y, y)),
25.66/25.88	    inference('sup+', [status(thm)], ['777', '761'])).
25.66/25.88	tff('779', plain,
25.66/25.88	    (sk_R(x, y, y)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['778'])).
25.66/25.88	tff('780', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(x, y, y)
25.66/25.88	     | sk_R(x, y, y)),
25.66/25.88	    inference('sup-', [status(thm)], ['779', '74'])).
25.66/25.88	tff('781', plain,
25.66/25.88	    (sk_R(x, y, y)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['780'])).
25.66/25.88	tff('782', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | ~ sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['781', '6'])).
25.66/25.88	tff('783', plain,
25.66/25.88	    (~ sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['782'])).
25.66/25.88	tff('784', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup-', [status(thm)], ['36', '783'])).
25.66/25.88	tff('785', plain,
25.66/25.88	    (sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['784'])).
25.66/25.88	tff('786', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['785', '771'])).
25.66/25.88	tff('787', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['786'])).
25.66/25.88	tff('788', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['787', '57'])).
25.66/25.88	tff('789', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['788'])).
25.66/25.88	tff('790', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup-', [status(thm)], ['789', '783'])).
25.66/25.88	tff('791', plain,
25.66/25.88	    (sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['790'])).
25.66/25.88	tff('792', plain,
25.66/25.88	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(x, y, y)),
25.66/25.88	    inference('sup-', [status(thm)], ['791', '74'])).
25.66/25.88	tff('793', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(x, y, y)),
25.66/25.88	    inference('demod', [status(thm)], ['792', '726', '404'])).
25.66/25.88	tff('794', plain,
25.66/25.88	    (sk_R(x, y, y) | sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['793'])).
25.66/25.88	tff('795', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | ~ sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['794', '6'])).
25.66/25.88	tff('796', plain,
25.66/25.88	    (~ sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['795'])).
25.66/25.88	tff('797', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup-', [status(thm)], ['33', '796'])).
25.66/25.88	tff('798', plain,
25.66/25.88	    (sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['797'])).
25.66/25.88	tff('799', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup-', [status(thm)], ['36', '796'])).
25.66/25.88	tff('800', plain,
25.66/25.88	    (sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['799'])).
25.66/25.88	tff('801', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['800', '52'])).
25.66/25.88	tff('802', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['801'])).
25.66/25.88	tff('803', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('clc', [status(thm)], ['802', '796'])).
25.66/25.88	tff('804', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('sup+', [status(thm)], ['798', '803'])).
25.66/25.88	tff('805', plain,
25.66/25.88	    (sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['804'])).
25.66/25.88	tff('806', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['805', '57'])).
25.66/25.88	tff('807', plain,
25.66/25.88	    (sk_R(w, z, z) | sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['806'])).
25.66/25.88	tff('808', plain, (sk_Xa1(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('clc', [status(thm)], ['807', '796'])).
25.66/25.88	tff('809', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['0', '739'])).
25.66/25.88	tff('810', plain,
25.66/25.88	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['809'])).
25.66/25.88	tff('811', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['30', '739'])).
25.66/25.88	tff('812', plain,
25.66/25.88	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['811'])).
25.66/25.88	tff('813', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['812', '116'])).
25.66/25.88	tff('814', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.88	    inference('simplify', [status(thm)], ['813'])).
25.66/25.88	tff('815', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['810', '814'])).
25.66/25.88	tff('816', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['815'])).
25.66/25.88	tff('817', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['816', '57'])).
25.66/25.88	tff('818', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['817'])).
25.66/25.88	tff('819', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['818', '739'])).
25.66/25.88	tff('820', plain,
25.66/25.88	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['819'])).
25.66/25.88	tff('821', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['30', '730'])).
25.66/25.88	tff('822', plain,
25.66/25.88	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['821'])).
25.66/25.88	tff('823', plain,
25.66/25.88	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.88	     | sk_R(x, y, y)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.66/25.88	    inference('demod', [status(thm)], ['759', '726'])).
25.66/25.88	tff('824', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.88	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.88	     | ~ sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['823', '6'])).
25.66/25.88	tff('825', plain,
25.66/25.88	    (~ sk_R(w, z, z)
25.66/25.88	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.88	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.66/25.88	    inference('simplify', [status(thm)], ['824'])).
25.66/25.88	tff('826', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.88	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.88	    inference('sup-', [status(thm)], ['30', '825'])).
25.66/25.88	tff('827', plain,
25.66/25.88	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['826'])).
25.66/25.88	tff('828', plain,
25.66/25.88	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup+', [status(thm)], ['822', '827'])).
25.66/25.88	tff('829', plain,
25.66/25.88	    (sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['828'])).
25.66/25.88	tff('830', plain,
25.66/25.88	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup+', [status(thm)], ['820', '829'])).
25.66/25.88	tff('831', plain,
25.66/25.88	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['830'])).
25.66/25.88	tff('832', plain, (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R)) | sk_R(x, y, y)),
25.66/25.88	    inference('sup-', [status(thm)], ['726', '74'])).
25.66/25.88	tff('833', plain,
25.66/25.88	    (~ $true | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R)) | ~ sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['832', '6'])).
25.66/25.88	tff('834', plain, (~ sk_R(w, z, z) | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['833'])).
25.66/25.88	tff('835', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['30', '834'])).
25.66/25.88	tff('836', plain,
25.66/25.88	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['835'])).
25.66/25.88	tff('837', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['831', '836'])).
25.66/25.88	tff('838', plain,
25.66/25.88	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['837'])).
25.66/25.88	tff('839', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['838', '116'])).
25.66/25.88	tff('840', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.88	    inference('simplify', [status(thm)], ['839'])).
25.66/25.88	tff('841', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), c0, cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['808', '840'])).
25.66/25.88	tff('842', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), c0, cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.88	    inference('simplify', [status(thm)], ['841'])).
25.66/25.88	tff('843', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['732', '842'])).
25.66/25.88	tff('844', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['843'])).
25.66/25.88	tff('845', plain,
25.66/25.88	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['808', '57'])).
25.66/25.88	tff('846', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup-', [status(thm)], ['844', '845'])).
25.66/25.88	tff('847', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['846'])).
25.66/25.88	tff('848', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['847', '730'])).
25.66/25.88	tff('849', plain,
25.66/25.88	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['848'])).
25.66/25.88	tff('850', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.88	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.88	    inference('sup-', [status(thm)], ['0', '825'])).
25.66/25.88	tff('851', plain,
25.66/25.88	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['850'])).
25.66/25.88	tff('852', plain,
25.66/25.88	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup+', [status(thm)], ['820', '851'])).
25.66/25.88	tff('853', plain,
25.66/25.88	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.88	    inference('simplify', [status(thm)], ['852'])).
25.66/25.88	tff('854', plain,
25.66/25.88	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.88	    inference('sup+', [status(thm)], ['849', '853'])).
25.66/25.88	tff('855', plain,
25.66/25.88	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['854'])).
25.66/25.88	tff('856', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['0', '834'])).
25.66/25.88	tff('857', plain,
25.66/25.88	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['856'])).
25.66/25.88	tff('858', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['855', '857'])).
25.66/25.88	tff('859', plain,
25.66/25.88	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['858'])).
25.66/25.88	tff('860', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['859', '842'])).
25.66/25.88	tff('861', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['860'])).
25.66/25.88	tff('862', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup-', [status(thm)], ['861', '845'])).
25.66/25.88	tff('863', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['862'])).
25.66/25.88	tff('864', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.88	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.88	    inference('sup-', [status(thm)], ['863', '825'])).
25.66/25.88	tff('865', plain,
25.66/25.88	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['864'])).
25.66/25.88	tff('866', plain,
25.66/25.88	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup+', [status(thm)], ['820', '865'])).
25.66/25.88	tff('867', plain,
25.66/25.88	    (sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.88	    inference('simplify', [status(thm)], ['866'])).
25.66/25.88	tff('868', plain,
25.66/25.88	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup+', [status(thm)], ['849', '867'])).
25.66/25.88	tff('869', plain,
25.66/25.88	    (sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['868'])).
25.66/25.88	tff('870', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['863', '834'])).
25.66/25.88	tff('871', plain,
25.66/25.88	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['870'])).
25.66/25.88	tff('872', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup-', [status(thm)], ['869', '871'])).
25.66/25.88	tff('873', plain,
25.66/25.88	    (sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['872'])).
25.66/25.88	tff('874', plain,
25.66/25.88	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup-', [status(thm)], ['873', '845'])).
25.66/25.88	tff('875', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('demod', [status(thm)], ['874', '162'])).
25.66/25.88	tff('876', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['875'])).
25.66/25.88	tff('877', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['876', '730'])).
25.66/25.88	tff('878', plain,
25.66/25.88	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['877'])).
25.66/25.88	tff('879', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['876', '739'])).
25.66/25.88	tff('880', plain,
25.66/25.88	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['879'])).
25.66/25.88	tff('881', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.88	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.88	    inference('sup-', [status(thm)], ['876', '825'])).
25.66/25.88	tff('882', plain,
25.66/25.88	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['881'])).
25.66/25.88	tff('883', plain,
25.66/25.88	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup+', [status(thm)], ['880', '882'])).
25.66/25.88	tff('884', plain,
25.66/25.88	    (sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.88	    inference('simplify', [status(thm)], ['883'])).
25.66/25.88	tff('885', plain,
25.66/25.88	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup+', [status(thm)], ['878', '884'])).
25.66/25.88	tff('886', plain,
25.66/25.88	    (sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['885'])).
25.66/25.88	tff('887', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['876', '834'])).
25.66/25.88	tff('888', plain,
25.66/25.88	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['887'])).
25.66/25.88	tff('889', plain,
25.66/25.88	    (sk_Xa1(sk_R) = c0 | sk_Xb(sk_R) = sk_Xc(sk_R) | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('clc', [status(thm)], ['886', '888'])).
25.66/25.88	tff('890', plain,
25.66/25.88	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xb(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['889', '836'])).
25.66/25.88	tff('891', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.66/25.88	    inference('demod', [status(thm)], ['890', '404'])).
25.66/25.88	tff('892', plain,
25.66/25.88	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['891'])).
25.66/25.88	tff('893', plain,
25.66/25.88	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xb(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['889', '857'])).
25.66/25.88	tff('894', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.88	    inference('demod', [status(thm)], ['893', '404'])).
25.66/25.88	tff('895', plain,
25.66/25.88	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['894'])).
25.66/25.88	tff('896', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['895', '116'])).
25.66/25.88	tff('897', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['896'])).
25.66/25.88	tff('898', plain,
25.66/25.88	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(x, y, y)),
25.66/25.88	    inference('sup-', [status(thm)], ['889', '74'])).
25.66/25.88	tff('899', plain,
25.66/25.88	    (~ $true | sk_Xb(sk_R) = c0 | sk_Xa1(sk_R) = c0 | sk_R(x, y, y)),
25.66/25.88	    inference('demod', [status(thm)], ['898', '726', '404'])).
25.66/25.88	tff('900', plain, (sk_R(x, y, y) | sk_Xa1(sk_R) = c0 | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['899'])).
25.66/25.88	tff('901', plain,
25.66/25.88	    (~ $true | sk_Xb(sk_R) = c0 | sk_Xa1(sk_R) = c0 | ~ sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['900', '6'])).
25.66/25.88	tff('902', plain, (~ sk_R(w, z, z) | sk_Xa1(sk_R) = c0 | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['901'])).
25.66/25.88	tff('903', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.88	    inference('clc', [status(thm)], ['897', '902'])).
25.66/25.88	tff('904', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup+', [status(thm)], ['892', '903'])).
25.66/25.88	tff('905', plain,
25.66/25.88	    (sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['904'])).
25.66/25.88	tff('906', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['905', '57'])).
25.66/25.88	tff('907', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['906'])).
25.66/25.88	tff('908', plain,
25.66/25.88	    (sk_Xb(sk_R) = c0 | sk_Xa1(sk_R) = c0 | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.88	    inference('clc', [status(thm)], ['907', '902'])).
25.66/25.88	tff('909', plain,
25.66/25.88	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('sup-', [status(thm)], ['908', '845'])).
25.66/25.88	tff('910', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('demod', [status(thm)], ['909', '162'])).
25.66/25.88	tff('911', plain, (sk_R(w, z, z) | sk_Xb(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['910'])).
25.66/25.88	tff('912', plain, (sk_Xa1(sk_R) = c0 | sk_Xb(sk_R) = c0),
25.66/25.88	    inference('clc', [status(thm)], ['911', '902'])).
25.66/25.88	tff('913', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['36', '8'])).
25.66/25.88	tff('914', plain,
25.66/25.88	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['913'])).
25.66/25.88	tff('915', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['33', '8'])).
25.66/25.88	tff('916', plain,
25.66/25.88	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['915'])).
25.66/25.88	tff('917', plain,
25.66/25.88	    ![X1 : (a * a * a) > $o]:
25.66/25.88	      (X1(x, y, y)
25.66/25.88	       | sk_Xb(X1) = cP(sk_Xy1(X1), sk_Xy2(X1))
25.66/25.88	       | sk_Xa(X1) = sk_Xc(X1)
25.66/25.88	       | sk_Xb(X1) = sk_Xc(X1)),
25.66/25.88	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.88	tff('918', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | ~ sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['917', '6'])).
25.66/25.88	tff('919', plain,
25.66/25.88	    (~ sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.66/25.88	    inference('simplify', [status(thm)], ['918'])).
25.66/25.88	tff('920', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['36', '919'])).
25.66/25.88	tff('921', plain,
25.66/25.88	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['920'])).
25.66/25.88	tff('922', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['33', '919'])).
25.66/25.88	tff('923', plain,
25.66/25.88	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['922'])).
25.66/25.88	tff('924', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['923', '52'])).
25.66/25.88	tff('925', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.88	    inference('simplify', [status(thm)], ['924'])).
25.66/25.88	tff('926', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['921', '925'])).
25.66/25.88	tff('927', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['926'])).
25.66/25.88	tff('928', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['927', '57'])).
25.66/25.88	tff('929', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['928'])).
25.66/25.88	tff('930', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['929', '919'])).
25.66/25.88	tff('931', plain,
25.66/25.88	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['930'])).
25.66/25.88	tff('932', plain,
25.66/25.88	    ![X1 : (a * a * a) > $o]:
25.66/25.88	      (X1(x, y, y)
25.66/25.88	       | X1(sk_Xx2(X1), sk_Xy2(X1), sk_Xz2(X1))
25.66/25.88	       | sk_Xa(X1) = sk_Xc(X1)
25.66/25.88	       | sk_Xb(X1) = sk_Xc(X1)),
25.66/25.88	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.88	tff('933', plain,
25.66/25.88	    ![X1 : (a * a * a) > $o]:
25.66/25.88	      (X1(x, y, y)
25.66/25.88	       | X1(sk_Xx1(X1), sk_Xy1(X1), sk_Xz1(X1))
25.66/25.88	       | sk_Xa(X1) = sk_Xc(X1)
25.66/25.88	       | sk_Xb(X1) = sk_Xc(X1)),
25.66/25.88	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.88	tff('934', plain,
25.66/25.88	    ![X1 : (a * a * a) > $o]:
25.66/25.88	      (X1(x, y, y)
25.66/25.88	       | sk_Xa(X1) = cP(sk_Xx1(X1), sk_Xx2(X1))
25.66/25.88	       | sk_Xa(X1) = sk_Xc(X1)
25.66/25.88	       | sk_Xb(X1) = sk_Xc(X1)),
25.66/25.88	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.66/25.88	tff('935', plain,
25.66/25.88	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
25.66/25.88	      (sk_R(sk_Xa(X0), cP(X4, X3), cP(X2, X1))
25.66/25.88	       | sk_Xb(X0) = sk_Xc(X0)
25.66/25.88	       | sk_Xa(X0) = sk_Xc(X0)
25.66/25.88	       | X0(x, y, y)
25.66/25.88	       | ~ sk_R(sk_Xx1(X0), X4, X2)
25.66/25.88	       | ~ sk_R(sk_Xx2(X0), X3, X1)),
25.66/25.88	    inference('sup+', [status(thm)], ['934', '3'])).
25.66/25.88	tff('936', plain,
25.66/25.88	    ![X0 : a, X1 : a]:
25.66/25.88	      (~ $true
25.66/25.88	       | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	       | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	       | sk_R(x, y, y)
25.66/25.88	       | ~ sk_R(sk_Xx2(sk_R), X1, X0)
25.66/25.88	       | sk_R(x, y, y)
25.66/25.88	       | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	       | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	       | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), X1), cP(sk_Xz1(sk_R), X0))),
25.66/25.88	    inference('sup-', [status(thm)], ['933', '935'])).
25.66/25.88	tff('937', plain,
25.66/25.88	    ![X0 : a, X1 : a]:
25.66/25.88	      (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), X1), cP(sk_Xz1(sk_R), X0))
25.66/25.88	       | ~ sk_R(sk_Xx2(sk_R), X1, X0)
25.66/25.88	       | sk_R(x, y, y)
25.66/25.88	       | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	       | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.66/25.88	    inference('simplify', [status(thm)], ['936'])).
25.66/25.88	tff('938', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_R(x, y, y)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_R(x, y, y)
25.66/25.88	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.88	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.88	    inference('sup-', [status(thm)], ['932', '937'])).
25.66/25.88	tff('939', plain,
25.66/25.88	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.88	       cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.88	     | sk_R(x, y, y)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.66/25.88	    inference('simplify', [status(thm)], ['938'])).
25.66/25.88	tff('940', plain,
25.66/25.88	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_R(x, y, y)),
25.66/25.88	    inference('sup+', [status(thm)], ['931', '939'])).
25.66/25.88	tff('941', plain,
25.66/25.88	    (sk_R(x, y, y)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.88	    inference('simplify', [status(thm)], ['940'])).
25.66/25.88	tff('942', plain,
25.66/25.88	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_R(x, y, y)),
25.66/25.88	    inference('sup+', [status(thm)], ['916', '941'])).
25.66/25.88	tff('943', plain,
25.66/25.88	    (sk_R(x, y, y)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['942'])).
25.66/25.88	tff('944', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_R(x, y, y)
25.66/25.88	     | sk_R(x, y, y)),
25.66/25.88	    inference('sup-', [status(thm)], ['943', '74'])).
25.66/25.88	tff('945', plain,
25.66/25.88	    (sk_R(x, y, y)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['944'])).
25.66/25.88	tff('946', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | ~ sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['945', '6'])).
25.66/25.88	tff('947', plain,
25.66/25.88	    (~ sk_R(w, z, z)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['946'])).
25.66/25.88	tff('948', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.88	    inference('sup-', [status(thm)], ['33', '947'])).
25.66/25.88	tff('949', plain,
25.66/25.88	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['948'])).
25.66/25.88	tff('950', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['949', '52'])).
25.66/25.88	tff('951', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.88	    inference('simplify', [status(thm)], ['950'])).
25.66/25.88	tff('952', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['914', '951'])).
25.66/25.88	tff('953', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['952'])).
25.66/25.88	tff('954', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['953', '57'])).
25.66/25.88	tff('955', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['954'])).
25.66/25.88	tff('956', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.88	    inference('sup-', [status(thm)], ['955', '8'])).
25.66/25.88	tff('957', plain,
25.66/25.88	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['956'])).
25.66/25.88	tff('958', plain,
25.66/25.88	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_R(x, y, y)),
25.66/25.88	    inference('sup+', [status(thm)], ['957', '941'])).
25.66/25.88	tff('959', plain,
25.66/25.88	    (sk_R(x, y, y)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['958'])).
25.66/25.88	tff('960', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_R(x, y, y)
25.66/25.88	     | sk_R(x, y, y)),
25.66/25.88	    inference('sup-', [status(thm)], ['959', '74'])).
25.66/25.88	tff('961', plain,
25.66/25.88	    (sk_R(x, y, y)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['960'])).
25.66/25.88	tff('962', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | ~ sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['961', '6'])).
25.66/25.88	tff('963', plain,
25.66/25.88	    (~ sk_R(w, z, z)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['962'])).
25.66/25.88	tff('964', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.88	    inference('sup-', [status(thm)], ['36', '963'])).
25.66/25.88	tff('965', plain,
25.66/25.88	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['964'])).
25.66/25.88	tff('966', plain,
25.66/25.88	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup+', [status(thm)], ['965', '951'])).
25.66/25.88	tff('967', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.88	    inference('simplify', [status(thm)], ['966'])).
25.66/25.88	tff('968', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_R(w, z, z)
25.66/25.88	     | sk_R(w, z, z)),
25.66/25.88	    inference('sup-', [status(thm)], ['967', '57'])).
25.66/25.88	tff('969', plain,
25.66/25.88	    (sk_R(w, z, z)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.88	    inference('simplify', [status(thm)], ['968'])).
25.66/25.88	tff('970', plain,
25.66/25.88	    (~ $true
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa1(sk_R) = c0
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.88	    inference('sup-', [status(thm)], ['969', '963'])).
25.66/25.88	tff('971', plain,
25.66/25.88	    (sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.88	     | sk_Xb1(sk_R) = c0
25.66/25.88	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['970'])).
25.66/25.89	tff('972', plain,
25.66/25.89	    (sk_Xb(sk_R) != sk_Xa(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
25.66/25.89	    inference('eq_fact', [status(thm)], ['971'])).
25.66/25.89	tff('973', plain,
25.66/25.89	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xa(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) != sk_Xa(sk_R)
25.66/25.89	     | sk_R(x, y, y)),
25.66/25.89	    inference('sup-', [status(thm)], ['972', '74'])).
25.66/25.89	tff('974', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), c0)
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) != c0
25.66/25.89	     | sk_R(x, y, y)),
25.66/25.89	    inference('demod', [status(thm)], ['973', '726', '726', '726'])).
25.66/25.89	tff('975', plain,
25.66/25.89	    (sk_R(x, y, y)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), c0)),
25.66/25.89	    inference('clc', [status(thm)], ['974', '794'])).
25.66/25.89	tff('976', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), c0)
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | ~ sk_R(w, z, z)),
25.66/25.89	    inference('sup-', [status(thm)], ['975', '6'])).
25.66/25.89	tff('977', plain,
25.66/25.89	    (~ sk_R(w, z, z)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), c0)),
25.66/25.89	    inference('simplify', [status(thm)], ['976'])).
25.66/25.89	tff('978', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), c0)
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('sup-', [status(thm)], ['33', '977'])).
25.66/25.89	tff('979', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), c0)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['978'])).
25.66/25.89	tff('980', plain,
25.66/25.89	    (~ sk_R(c0, c0, c0)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['912', '979'])).
25.66/25.89	tff('981', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.66/25.89	    inference('demod', [status(thm)], ['980', '404'])).
25.66/25.89	tff('982', plain,
25.66/25.89	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['981'])).
25.66/25.89	tff('983', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), c0)
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('sup-', [status(thm)], ['36', '977'])).
25.66/25.89	tff('984', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), c0)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['983'])).
25.66/25.89	tff('985', plain,
25.66/25.89	    (~ sk_R(c0, c0, c0)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['912', '984'])).
25.66/25.89	tff('986', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.89	    inference('demod', [status(thm)], ['985', '404'])).
25.66/25.89	tff('987', plain,
25.66/25.89	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['986'])).
25.66/25.89	tff('988', plain,
25.66/25.89	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_R(w, z, z)),
25.66/25.89	    inference('sup+', [status(thm)], ['987', '52'])).
25.66/25.89	tff('989', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['988'])).
25.66/25.89	tff('990', plain,
25.66/25.89	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_R(w, z, z)),
25.66/25.89	    inference('sup+', [status(thm)], ['982', '989'])).
25.66/25.89	tff('991', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['990'])).
25.66/25.89	tff('992', plain, (sk_Xa1(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_R(w, z, z)),
25.66/25.89	    inference('clc', [status(thm)], ['991', '57'])).
25.66/25.89	tff('993', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), c0)
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('sup-', [status(thm)], ['992', '977'])).
25.66/25.89	tff('994', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), c0) | sk_Xa1(sk_R) = c0 | sk_Xb1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['993'])).
25.66/25.89	tff('995', plain,
25.66/25.89	    (~ sk_R(c0, c0, c0)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('sup-', [status(thm)], ['912', '994'])).
25.66/25.89	tff('996', plain,
25.66/25.89	    (~ $true | sk_Xa1(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('demod', [status(thm)], ['995', '404'])).
25.66/25.89	tff('997', plain, (sk_Xb1(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['996'])).
25.66/25.89	tff('998', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['30', '919'])).
25.66/25.89	tff('999', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['998'])).
25.66/25.89	tff('1000', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('demod', [status(thm)], ['999', '726'])).
25.66/25.89	tff('1001', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['0', '919'])).
25.66/25.89	tff('1002', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1001'])).
25.66/25.89	tff('1003', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('demod', [status(thm)], ['1002', '726'])).
25.66/25.89	tff('1004', plain,
25.66/25.89	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(w, z, z)),
25.66/25.89	    inference('sup+', [status(thm)], ['1003', '116'])).
25.66/25.89	tff('1005', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1004'])).
25.66/25.89	tff('1006', plain,
25.66/25.89	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_R(w, z, z)),
25.66/25.89	    inference('sup+', [status(thm)], ['1000', '1005'])).
25.66/25.89	tff('1007', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1006'])).
25.66/25.89	tff('1008', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_R(w, z, z)
25.66/25.89	     | sk_R(w, z, z)),
25.66/25.89	    inference('sup-', [status(thm)], ['1007', '57'])).
25.66/25.89	tff('1009', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1008'])).
25.66/25.89	tff('1010', plain,
25.66/25.89	    (~ sk_R(w, z, z)
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.66/25.89	    inference('demod', [status(thm)], ['919', '726'])).
25.66/25.89	tff('1011', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1009', '1010'])).
25.66/25.89	tff('1012', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1011'])).
25.66/25.89	tff('1013', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['30', '8'])).
25.66/25.89	tff('1014', plain,
25.66/25.89	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1013'])).
25.66/25.89	tff('1015', plain,
25.66/25.89	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('demod', [status(thm)], ['1014', '726'])).
25.66/25.89	tff('1016', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_R(x, y, y)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.66/25.89	    inference('demod', [status(thm)], ['939', '726', '726'])).
25.66/25.89	tff('1017', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.89	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | ~ sk_R(w, z, z)),
25.66/25.89	    inference('sup-', [status(thm)], ['1016', '6'])).
25.66/25.89	tff('1018', plain,
25.66/25.89	    (~ sk_R(w, z, z)
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.89	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1017'])).
25.66/25.89	tff('1019', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.89	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('sup-', [status(thm)], ['30', '1018'])).
25.66/25.89	tff('1020', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1019'])).
25.66/25.89	tff('1021', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)),
25.66/25.89	    inference('sup+', [status(thm)], ['1015', '1020'])).
25.66/25.89	tff('1022', plain,
25.66/25.89	    (c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1021'])).
25.66/25.89	tff('1023', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)),
25.66/25.89	    inference('sup+', [status(thm)], ['1012', '1022'])).
25.66/25.89	tff('1024', plain,
25.66/25.89	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1023'])).
25.66/25.89	tff('1025', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1024', '836'])).
25.66/25.89	tff('1026', plain,
25.66/25.89	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1025'])).
25.66/25.89	tff('1027', plain,
25.66/25.89	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(w, z, z)),
25.66/25.89	    inference('sup+', [status(thm)], ['1026', '116'])).
25.66/25.89	tff('1028', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.89	    inference('simplify', [status(thm)], ['1027'])).
25.66/25.89	tff('1029', plain,
25.66/25.89	    (sk_R(sk_Xa1(sk_R), c0, cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_R(w, z, z)),
25.66/25.89	    inference('sup+', [status(thm)], ['997', '1028'])).
25.66/25.89	tff('1030', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(sk_Xa1(sk_R), c0, cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.89	    inference('simplify', [status(thm)], ['1029'])).
25.66/25.89	tff('1031', plain,
25.66/25.89	    (sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_R(w, z, z)),
25.66/25.89	    inference('sup+', [status(thm)], ['727', '1030'])).
25.66/25.89	tff('1032', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1031'])).
25.66/25.89	tff('1033', plain,
25.66/25.89	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(w, z, z)),
25.66/25.89	    inference('sup-', [status(thm)], ['997', '57'])).
25.66/25.89	tff('1034', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_R(w, z, z)
25.66/25.89	     | sk_R(w, z, z)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('sup-', [status(thm)], ['1032', '1033'])).
25.66/25.89	tff('1035', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1034'])).
25.66/25.89	tff('1036', plain,
25.66/25.89	    (~ sk_R(w, z, z)
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.66/25.89	    inference('demod', [status(thm)], ['8', '726'])).
25.66/25.89	tff('1037', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1035', '1036'])).
25.66/25.89	tff('1038', plain,
25.66/25.89	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1037'])).
25.66/25.89	tff('1039', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.89	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('sup-', [status(thm)], ['0', '1018'])).
25.66/25.89	tff('1040', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1039'])).
25.66/25.89	tff('1041', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)),
25.66/25.89	    inference('sup+', [status(thm)], ['1012', '1040'])).
25.66/25.89	tff('1042', plain,
25.66/25.89	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('simplify', [status(thm)], ['1041'])).
25.66/25.89	tff('1043', plain,
25.66/25.89	    (sk_R(c0, c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.89	    inference('sup+', [status(thm)], ['912', '1042'])).
25.66/25.89	tff('1044', plain,
25.66/25.89	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(c0, c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('simplify', [status(thm)], ['1043'])).
25.66/25.89	tff('1045', plain,
25.66/25.89	    (sk_R(c0, c0, sk_Xc(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.89	    inference('sup+', [status(thm)], ['1038', '1044'])).
25.66/25.89	tff('1046', plain,
25.66/25.89	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(c0, c0, sk_Xc(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1045'])).
25.66/25.89	tff('1047', plain,
25.66/25.89	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R)) | sk_Xa1(sk_R) = c0 | sk_R(x, y, y)),
25.66/25.89	    inference('sup-', [status(thm)], ['912', '74'])).
25.66/25.89	tff('1048', plain,
25.66/25.89	    (~ sk_R(c0, c0, sk_Xc(sk_R)) | sk_Xa1(sk_R) = c0 | sk_R(x, y, y)),
25.66/25.89	    inference('demod', [status(thm)], ['1047', '726'])).
25.66/25.89	tff('1049', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | ~ sk_R(c0, c0, sk_Xc(sk_R))
25.66/25.89	     | ~ sk_R(w, z, z)),
25.66/25.89	    inference('sup-', [status(thm)], ['1048', '6'])).
25.66/25.89	tff('1050', plain,
25.66/25.89	    (~ sk_R(w, z, z) | ~ sk_R(c0, c0, sk_Xc(sk_R)) | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1049'])).
25.66/25.89	tff('1051', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | ~ sk_R(c0, c0, sk_Xc(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['0', '1050'])).
25.66/25.89	tff('1052', plain,
25.66/25.89	    (~ sk_R(c0, c0, sk_Xc(sk_R))
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1051'])).
25.66/25.89	tff('1053', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1046', '1052'])).
25.66/25.89	tff('1054', plain,
25.66/25.89	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1053'])).
25.66/25.89	tff('1055', plain,
25.66/25.89	    (sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_R(w, z, z)),
25.66/25.89	    inference('sup+', [status(thm)], ['1054', '1030'])).
25.66/25.89	tff('1056', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1055'])).
25.66/25.89	tff('1057', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_R(w, z, z)
25.66/25.89	     | sk_R(w, z, z)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('sup-', [status(thm)], ['1056', '1033'])).
25.66/25.89	tff('1058', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1057'])).
25.66/25.89	tff('1059', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.89	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('sup-', [status(thm)], ['1058', '1018'])).
25.66/25.89	tff('1060', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1059'])).
25.66/25.89	tff('1061', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)),
25.66/25.89	    inference('sup+', [status(thm)], ['1012', '1060'])).
25.66/25.89	tff('1062', plain,
25.66/25.89	    (c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('simplify', [status(thm)], ['1061'])).
25.66/25.89	tff('1063', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)),
25.66/25.89	    inference('sup+', [status(thm)], ['1038', '1062'])).
25.66/25.89	tff('1064', plain,
25.66/25.89	    (c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1063'])).
25.66/25.89	tff('1065', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1058', '834'])).
25.66/25.89	tff('1066', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1065'])).
25.66/25.89	tff('1067', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)),
25.66/25.89	    inference('sup-', [status(thm)], ['1064', '1066'])).
25.66/25.89	tff('1068', plain,
25.66/25.89	    (c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1067'])).
25.66/25.89	tff('1069', plain,
25.66/25.89	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_R(w, z, z)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('sup-', [status(thm)], ['1068', '1033'])).
25.66/25.89	tff('1070', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_R(w, z, z)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('demod', [status(thm)], ['1069', '162'])).
25.66/25.89	tff('1071', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1070'])).
25.66/25.89	tff('1072', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1071', '1036'])).
25.66/25.89	tff('1073', plain,
25.66/25.89	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1072'])).
25.66/25.89	tff('1074', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1071', '1010'])).
25.66/25.89	tff('1075', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1074'])).
25.66/25.89	tff('1076', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.89	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('sup-', [status(thm)], ['1071', '1018'])).
25.66/25.89	tff('1077', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1076'])).
25.66/25.89	tff('1078', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)),
25.66/25.89	    inference('sup+', [status(thm)], ['1075', '1077'])).
25.66/25.89	tff('1079', plain,
25.66/25.89	    (c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('simplify', [status(thm)], ['1078'])).
25.66/25.89	tff('1080', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)),
25.66/25.89	    inference('sup+', [status(thm)], ['1073', '1079'])).
25.66/25.89	tff('1081', plain,
25.66/25.89	    (c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1080'])).
25.66/25.89	tff('1082', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1071', '834'])).
25.66/25.89	tff('1083', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | c0 = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1082'])).
25.66/25.89	tff('1084', plain,
25.66/25.89	    (sk_Xa1(sk_R) = c0 | sk_Xb(sk_R) = sk_Xc(sk_R) | c0 = sk_Xc(sk_R)),
25.66/25.89	    inference('clc', [status(thm)], ['1081', '1083'])).
25.66/25.89	tff('1085', plain,
25.66/25.89	    (sk_Xb(sk_R) != c0 | c0 = sk_Xc(sk_R) | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('eq_fact', [status(thm)], ['1084'])).
25.66/25.89	tff('1086', plain, (sk_Xa1(sk_R) = c0 | c0 = sk_Xc(sk_R)),
25.66/25.89	    inference('clc', [status(thm)], ['1085', '912'])).
25.66/25.89	tff('1087', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | ~ sk_R(c0, c0, sk_Xc(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['30', '1050'])).
25.66/25.89	tff('1088', plain,
25.66/25.89	    (~ sk_R(c0, c0, sk_Xc(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1087'])).
25.66/25.89	tff('1089', plain,
25.66/25.89	    (~ sk_R(c0, c0, c0)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1086', '1088'])).
25.66/25.89	tff('1090', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.66/25.89	    inference('demod', [status(thm)], ['1089', '404'])).
25.66/25.89	tff('1091', plain,
25.66/25.89	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1090'])).
25.66/25.89	tff('1092', plain,
25.66/25.89	    (~ sk_R(c0, c0, c0)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1086', '1052'])).
25.66/25.89	tff('1093', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.89	    inference('demod', [status(thm)], ['1092', '404'])).
25.66/25.89	tff('1094', plain,
25.66/25.89	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1093'])).
25.66/25.89	tff('1095', plain,
25.66/25.89	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(w, z, z)),
25.66/25.89	    inference('sup+', [status(thm)], ['1094', '116'])).
25.66/25.89	tff('1096', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1095'])).
25.66/25.89	tff('1097', plain,
25.66/25.89	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(w, z, z)),
25.66/25.89	    inference('sup+', [status(thm)], ['1091', '1096'])).
25.66/25.89	tff('1098', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1097'])).
25.66/25.89	tff('1099', plain,
25.66/25.89	    (sk_Xa1(sk_R) = c0 | sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_R(w, z, z)),
25.66/25.89	    inference('clc', [status(thm)], ['1098', '57'])).
25.66/25.89	tff('1100', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | ~ sk_R(c0, c0, sk_Xc(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1099', '1050'])).
25.66/25.89	tff('1101', plain,
25.66/25.89	    (~ sk_R(c0, c0, sk_Xc(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1100'])).
25.66/25.89	tff('1102', plain,
25.66/25.89	    (~ sk_R(c0, c0, c0)
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('sup-', [status(thm)], ['1086', '1101'])).
25.66/25.89	tff('1103', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('demod', [status(thm)], ['1102', '404'])).
25.66/25.89	tff('1104', plain, (sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1103'])).
25.66/25.89	tff('1105', plain,
25.66/25.89	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_R(w, z, z)
25.66/25.89	     | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('sup-', [status(thm)], ['1104', '1033'])).
25.66/25.89	tff('1106', plain,
25.66/25.89	    (~ $true | sk_Xa1(sk_R) = c0 | sk_R(w, z, z) | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('demod', [status(thm)], ['1105', '162'])).
25.66/25.89	tff('1107', plain, (sk_R(w, z, z) | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1106'])).
25.66/25.89	tff('1108', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | sk_Xa1(sk_R) = c0
25.66/25.89	     | ~ sk_R(c0, c0, sk_Xc(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1107', '1050'])).
25.66/25.89	tff('1109', plain, (~ sk_R(c0, c0, sk_Xc(sk_R)) | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('simplify', [status(thm)], ['1108'])).
25.66/25.89	tff('1110', plain,
25.66/25.89	    (~ sk_R(c0, c0, c0) | sk_Xa1(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('sup-', [status(thm)], ['1086', '1109'])).
25.66/25.89	tff('1111', plain, (~ $true | sk_Xa1(sk_R) = c0 | sk_Xa1(sk_R) = c0),
25.66/25.89	    inference('demod', [status(thm)], ['1110', '404'])).
25.66/25.89	tff('1112', plain, sk_Xa1(sk_R) = c0,
25.66/25.89	    inference('simplify', [status(thm)], ['1111'])).
25.66/25.89	tff('1113', plain, (~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R)) | sk_R(w, z, z)),
25.66/25.89	    inference('sup-', [status(thm)], ['1112', '57'])).
25.66/25.89	tff('1114', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1113', '834'])).
25.66/25.89	tff('1115', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1114'])).
25.66/25.89	tff('1116', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['11', '739'])).
25.66/25.89	tff('1117', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1116'])).
25.66/25.89	tff('1118', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('demod', [status(thm)], ['1117', '1112'])).
25.66/25.89	tff('1119', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['12', '739'])).
25.66/25.89	tff('1120', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1119'])).
25.66/25.89	tff('1121', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('demod', [status(thm)], ['1120', '1112'])).
25.66/25.89	tff('1122', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.89	       cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | sk_R(w, z, z)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('demod', [status(thm)], ['349', '1112', '1112'])).
25.66/25.89	tff('1123', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.89	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1122', '739'])).
25.66/25.89	tff('1124', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.89	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1123'])).
25.66/25.89	tff('1125', plain,
25.66/25.89	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.89	    inference('sup+', [status(thm)], ['1121', '1124'])).
25.66/25.89	tff('1126', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.89	    inference('simplify', [status(thm)], ['1125'])).
25.66/25.89	tff('1127', plain,
25.66/25.89	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.89	    inference('sup+', [status(thm)], ['1118', '1126'])).
25.66/25.89	tff('1128', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1127'])).
25.66/25.89	tff('1129', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1113', '739'])).
25.66/25.89	tff('1130', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1129'])).
25.66/25.89	tff('1131', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1128', '1130'])).
25.66/25.89	tff('1132', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1131'])).
25.66/25.89	tff('1133', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['12', '730'])).
25.66/25.89	tff('1134', plain,
25.66/25.89	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1133'])).
25.66/25.89	tff('1135', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.89	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('sup-', [status(thm)], ['12', '825'])).
25.66/25.89	tff('1136', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1135'])).
25.66/25.89	tff('1137', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0),
25.66/25.89	    inference('sup+', [status(thm)], ['1134', '1136'])).
25.66/25.89	tff('1138', plain,
25.66/25.89	    (sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1137'])).
25.66/25.89	tff('1139', plain,
25.66/25.89	    (sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.66/25.89	    inference('demod', [status(thm)], ['1138', '1112'])).
25.66/25.89	tff('1140', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0),
25.66/25.89	    inference('sup+', [status(thm)], ['1132', '1139'])).
25.66/25.89	tff('1141', plain,
25.66/25.89	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1140'])).
25.66/25.89	tff('1142', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['12', '834'])).
25.66/25.89	tff('1143', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1142'])).
25.66/25.89	tff('1144', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('demod', [status(thm)], ['1143', '1112'])).
25.66/25.89	tff('1145', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1141', '1144'])).
25.66/25.89	tff('1146', plain,
25.66/25.89	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1145'])).
25.66/25.89	tff('1147', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['11', '730'])).
25.66/25.89	tff('1148', plain,
25.66/25.89	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1147'])).
25.66/25.89	tff('1149', plain,
25.66/25.89	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('demod', [status(thm)], ['1148', '1112'])).
25.66/25.89	tff('1150', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.89	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1122', '730'])).
25.66/25.89	tff('1151', plain,
25.66/25.89	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.89	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1150'])).
25.66/25.89	tff('1152', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.89	    inference('sup+', [status(thm)], ['1149', '1151'])).
25.66/25.89	tff('1153', plain,
25.66/25.89	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1152'])).
25.66/25.89	tff('1154', plain,
25.66/25.89	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.89	    inference('sup+', [status(thm)], ['1146', '1153'])).
25.66/25.89	tff('1155', plain,
25.66/25.89	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1154'])).
25.66/25.89	tff('1156', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1113', '730'])).
25.66/25.89	tff('1157', plain,
25.66/25.89	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1156'])).
25.66/25.89	tff('1158', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1155', '1157'])).
25.66/25.89	tff('1159', plain,
25.66/25.89	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1158'])).
25.66/25.89	tff('1160', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.89	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('sup-', [status(thm)], ['11', '825'])).
25.66/25.89	tff('1161', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1160'])).
25.66/25.89	tff('1162', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('demod', [status(thm)], ['1161', '1112'])).
25.66/25.89	tff('1163', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0),
25.66/25.89	    inference('sup+', [status(thm)], ['1132', '1162'])).
25.66/25.89	tff('1164', plain,
25.66/25.89	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('simplify', [status(thm)], ['1163'])).
25.66/25.89	tff('1165', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.89	    inference('sup+', [status(thm)], ['1159', '1164'])).
25.66/25.89	tff('1166', plain,
25.66/25.89	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1165'])).
25.66/25.89	tff('1167', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['11', '834'])).
25.66/25.89	tff('1168', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1167'])).
25.66/25.89	tff('1169', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('demod', [status(thm)], ['1168', '1112'])).
25.66/25.89	tff('1170', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1166', '1169'])).
25.66/25.89	tff('1171', plain,
25.66/25.89	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1170'])).
25.66/25.89	tff('1172', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.89	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.89	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('sup-', [status(thm)], ['1122', '825'])).
25.66/25.89	tff('1173', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.89	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1172'])).
25.66/25.89	tff('1174', plain,
25.66/25.89	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.89	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('sup+', [status(thm)], ['1146', '1173'])).
25.66/25.89	tff('1175', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.89	    inference('simplify', [status(thm)], ['1174'])).
25.66/25.89	tff('1176', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0),
25.66/25.89	    inference('sup+', [status(thm)], ['1132', '1175'])).
25.66/25.89	tff('1177', plain,
25.66/25.89	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('simplify', [status(thm)], ['1176'])).
25.66/25.89	tff('1178', plain,
25.66/25.89	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0),
25.66/25.89	    inference('sup+', [status(thm)], ['1171', '1177'])).
25.66/25.89	tff('1179', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1178'])).
25.66/25.89	tff('1180', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.89	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('sup-', [status(thm)], ['1113', '825'])).
25.66/25.89	tff('1181', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1180'])).
25.66/25.89	tff('1182', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0),
25.66/25.89	    inference('sup+', [status(thm)], ['1132', '1181'])).
25.66/25.89	tff('1183', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('simplify', [status(thm)], ['1182'])).
25.66/25.89	tff('1184', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0),
25.66/25.89	    inference('sup-', [status(thm)], ['1179', '1183'])).
25.66/25.89	tff('1185', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1184'])).
25.66/25.89	tff('1186', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0),
25.66/25.89	    inference('sup+', [status(thm)], ['1159', '1185'])).
25.66/25.89	tff('1187', plain,
25.66/25.89	    (sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1186'])).
25.66/25.89	tff('1188', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.89	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1122', '834'])).
25.66/25.89	tff('1189', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.66/25.89	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1188'])).
25.66/25.89	tff('1190', plain,
25.66/25.89	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('sup+', [status(thm)], ['1146', '1189'])).
25.66/25.89	tff('1191', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.89	    inference('simplify', [status(thm)], ['1190'])).
25.66/25.89	tff('1192', plain,
25.66/25.89	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('sup+', [status(thm)], ['1171', '1191'])).
25.66/25.89	tff('1193', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.89	    inference('simplify', [status(thm)], ['1192'])).
25.66/25.89	tff('1194', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1193', '1115'])).
25.66/25.89	tff('1195', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1194'])).
25.66/25.89	tff('1196', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0),
25.66/25.89	    inference('sup-', [status(thm)], ['1187', '1195'])).
25.66/25.89	tff('1197', plain,
25.66/25.89	    (sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1196'])).
25.66/25.89	tff('1198', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1197', '1157'])).
25.66/25.89	tff('1199', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.89	    inference('demod', [status(thm)], ['1198', '404'])).
25.66/25.89	tff('1200', plain,
25.66/25.89	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1199'])).
25.66/25.89	tff('1201', plain,
25.66/25.89	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.89	    inference('sup-', [status(thm)], ['1197', '1130'])).
25.66/25.89	tff('1202', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.89	    inference('demod', [status(thm)], ['1201', '404'])).
25.66/25.89	tff('1203', plain,
25.66/25.89	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1202'])).
25.66/25.89	tff('1204', plain,
25.66/25.89	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_R(w, z, z)),
25.66/25.89	    inference('sup-', [status(thm)], ['1197', '57'])).
25.66/25.89	tff('1205', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_R(w, z, z)),
25.66/25.89	    inference('demod', [status(thm)], ['1204', '1112', '404'])).
25.66/25.89	tff('1206', plain,
25.66/25.89	    (sk_R(w, z, z)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1205'])).
25.66/25.89	tff('1207', plain,
25.66/25.89	    (~ $true
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.89	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('sup-', [status(thm)], ['1206', '825'])).
25.66/25.89	tff('1208', plain,
25.66/25.89	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)),
25.66/25.89	    inference('simplify', [status(thm)], ['1207'])).
25.66/25.89	tff('1209', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0),
25.66/25.89	    inference('sup+', [status(thm)], ['1203', '1208'])).
25.66/25.89	tff('1210', plain,
25.66/25.89	    (sk_Xb(sk_R) = c0
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.89	    inference('simplify', [status(thm)], ['1209'])).
25.66/25.89	tff('1211', plain,
25.66/25.89	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = c0
25.66/25.89	     | c0 = sk_Xc1(sk_R)
25.66/25.89	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0),
25.66/25.90	    inference('sup+', [status(thm)], ['1200', '1210'])).
25.66/25.90	tff('1212', plain,
25.66/25.90	    (sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | c0 = sk_Xc1(sk_R)
25.66/25.90	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.90	    inference('simplify', [status(thm)], ['1211'])).
25.66/25.90	tff('1213', plain,
25.66/25.90	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.90	     | c0 = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['1197', '1115'])).
25.66/25.90	tff('1214', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | c0 = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.90	    inference('demod', [status(thm)], ['1213', '404'])).
25.66/25.90	tff('1215', plain,
25.66/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | c0 = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1214'])).
25.66/25.90	tff('1216', plain,
25.66/25.90	    (c0 = sk_Xc1(sk_R) | sk_Xb(sk_R) = sk_Xc(sk_R) | sk_Xb(sk_R) = c0),
25.66/25.90	    inference('clc', [status(thm)], ['1212', '1215'])).
25.66/25.90	tff('1217', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['417', '730'])).
25.66/25.90	tff('1218', plain,
25.66/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1217'])).
25.66/25.90	tff('1219', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['417', '739'])).
25.66/25.90	tff('1220', plain,
25.66/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1219'])).
25.66/25.90	tff('1221', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['420', '739'])).
25.66/25.90	tff('1222', plain,
25.66/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1221'])).
25.66/25.90	tff('1223', plain,
25.66/25.90	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_R(w, z, z)),
25.66/25.90	    inference('sup+', [status(thm)], ['1222', '434'])).
25.66/25.90	tff('1224', plain,
25.66/25.90	    (sk_R(w, z, z)
25.66/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.90	    inference('simplify', [status(thm)], ['1223'])).
25.66/25.90	tff('1225', plain,
25.66/25.90	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.90	     | sk_R(w, z, z)),
25.66/25.90	    inference('sup+', [status(thm)], ['1220', '1224'])).
25.66/25.90	tff('1226', plain,
25.66/25.90	    (sk_R(w, z, z)
25.66/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.90	    inference('simplify', [status(thm)], ['1225'])).
25.66/25.90	tff('1227', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.90	     | sk_R(w, z, z)
25.66/25.90	     | sk_R(w, z, z)),
25.66/25.90	    inference('sup-', [status(thm)], ['1226', '57'])).
25.66/25.90	tff('1228', plain,
25.66/25.90	    (sk_R(w, z, z)
25.66/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1227'])).
25.66/25.90	tff('1229', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['1228', '739'])).
25.66/25.90	tff('1230', plain,
25.66/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1229'])).
25.66/25.90	tff('1231', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['420', '730'])).
25.66/25.90	tff('1232', plain,
25.66/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1231'])).
25.66/25.90	tff('1233', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.90	    inference('sup-', [status(thm)], ['420', '825'])).
25.66/25.90	tff('1234', plain,
25.66/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1233'])).
25.66/25.90	tff('1235', plain,
25.66/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0),
25.66/25.90	    inference('sup+', [status(thm)], ['1232', '1234'])).
25.66/25.90	tff('1236', plain,
25.66/25.90	    (sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.66/25.90	    inference('simplify', [status(thm)], ['1235'])).
25.66/25.90	tff('1237', plain,
25.66/25.90	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0),
25.66/25.90	    inference('sup+', [status(thm)], ['1230', '1236'])).
25.66/25.90	tff('1238', plain,
25.66/25.90	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.90	    inference('simplify', [status(thm)], ['1237'])).
25.66/25.90	tff('1239', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['420', '834'])).
25.66/25.90	tff('1240', plain,
25.66/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1239'])).
25.66/25.90	tff('1241', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['1238', '1240'])).
25.66/25.90	tff('1242', plain,
25.66/25.90	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1241'])).
25.66/25.90	tff('1243', plain,
25.66/25.90	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_R(w, z, z)),
25.66/25.90	    inference('sup+', [status(thm)], ['1242', '434'])).
25.66/25.90	tff('1244', plain,
25.66/25.90	    (sk_R(w, z, z)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.66/25.90	    inference('simplify', [status(thm)], ['1243'])).
25.66/25.90	tff('1245', plain,
25.66/25.90	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_R(w, z, z)),
25.66/25.90	    inference('sup+', [status(thm)], ['1218', '1244'])).
25.66/25.90	tff('1246', plain,
25.66/25.90	    (sk_R(w, z, z)
25.66/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.90	    inference('simplify', [status(thm)], ['1245'])).
25.66/25.90	tff('1247', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.90	     | sk_R(w, z, z)
25.66/25.90	     | sk_R(w, z, z)),
25.66/25.90	    inference('sup-', [status(thm)], ['1246', '57'])).
25.66/25.90	tff('1248', plain,
25.66/25.90	    (sk_R(w, z, z)
25.66/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1247'])).
25.66/25.90	tff('1249', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['1248', '730'])).
25.66/25.90	tff('1250', plain,
25.66/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1249'])).
25.66/25.90	tff('1251', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.90	    inference('sup-', [status(thm)], ['417', '825'])).
25.66/25.90	tff('1252', plain,
25.66/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1251'])).
25.66/25.90	tff('1253', plain,
25.66/25.90	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0),
25.66/25.90	    inference('sup+', [status(thm)], ['1230', '1252'])).
25.66/25.90	tff('1254', plain,
25.66/25.90	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.90	    inference('simplify', [status(thm)], ['1253'])).
25.66/25.90	tff('1255', plain,
25.66/25.90	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.90	    inference('sup+', [status(thm)], ['1250', '1254'])).
25.66/25.90	tff('1256', plain,
25.66/25.90	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.90	    inference('simplify', [status(thm)], ['1255'])).
25.66/25.90	tff('1257', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['417', '834'])).
25.66/25.90	tff('1258', plain,
25.66/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1257'])).
25.66/25.90	tff('1259', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['1256', '1258'])).
25.66/25.90	tff('1260', plain,
25.66/25.90	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1259'])).
25.66/25.90	tff('1261', plain,
25.66/25.90	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_R(w, z, z)),
25.66/25.90	    inference('sup+', [status(thm)], ['1260', '1244'])).
25.66/25.90	tff('1262', plain,
25.66/25.90	    (sk_R(w, z, z)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.66/25.90	    inference('simplify', [status(thm)], ['1261'])).
25.66/25.90	tff('1263', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_R(w, z, z)
25.66/25.90	     | sk_R(w, z, z)),
25.66/25.90	    inference('sup-', [status(thm)], ['1262', '57'])).
25.66/25.90	tff('1264', plain,
25.66/25.90	    (sk_R(w, z, z)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1263'])).
25.66/25.90	tff('1265', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.90	    inference('sup-', [status(thm)], ['1264', '825'])).
25.66/25.90	tff('1266', plain,
25.66/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1265'])).
25.66/25.90	tff('1267', plain,
25.66/25.90	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0),
25.66/25.90	    inference('sup+', [status(thm)], ['1230', '1266'])).
25.66/25.90	tff('1268', plain,
25.66/25.90	    (sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.90	    inference('simplify', [status(thm)], ['1267'])).
25.66/25.90	tff('1269', plain,
25.66/25.90	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0),
25.66/25.90	    inference('sup+', [status(thm)], ['1250', '1268'])).
25.66/25.90	tff('1270', plain,
25.66/25.90	    (sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.90	    inference('simplify', [status(thm)], ['1269'])).
25.66/25.90	tff('1271', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['1264', '834'])).
25.66/25.90	tff('1272', plain,
25.66/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1271'])).
25.66/25.90	tff('1273', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0),
25.66/25.90	    inference('sup-', [status(thm)], ['1270', '1272'])).
25.66/25.90	tff('1274', plain,
25.66/25.90	    (sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.66/25.90	    inference('simplify', [status(thm)], ['1273'])).
25.66/25.90	tff('1275', plain,
25.66/25.90	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_R(w, z, z)),
25.66/25.90	    inference('sup-', [status(thm)], ['1274', '57'])).
25.66/25.90	tff('1276', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_R(w, z, z)),
25.66/25.90	    inference('demod', [status(thm)], ['1275', '1112', '404'])).
25.66/25.90	tff('1277', plain,
25.66/25.90	    (sk_R(w, z, z)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0),
25.66/25.90	    inference('simplify', [status(thm)], ['1276'])).
25.66/25.90	tff('1278', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['1277', '730'])).
25.66/25.90	tff('1279', plain,
25.66/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0),
25.66/25.90	    inference('simplify', [status(thm)], ['1278'])).
25.66/25.90	tff('1280', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['1277', '739'])).
25.66/25.90	tff('1281', plain,
25.66/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0),
25.66/25.90	    inference('simplify', [status(thm)], ['1280'])).
25.66/25.90	tff('1282', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.66/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.90	    inference('sup-', [status(thm)], ['1277', '825'])).
25.66/25.90	tff('1283', plain,
25.66/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0),
25.66/25.90	    inference('simplify', [status(thm)], ['1282'])).
25.66/25.90	tff('1284', plain,
25.66/25.90	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0),
25.66/25.90	    inference('sup+', [status(thm)], ['1281', '1283'])).
25.66/25.90	tff('1285', plain,
25.66/25.90	    (sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.66/25.90	    inference('simplify', [status(thm)], ['1284'])).
25.66/25.90	tff('1286', plain,
25.66/25.90	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0),
25.66/25.90	    inference('sup+', [status(thm)], ['1279', '1285'])).
25.66/25.90	tff('1287', plain,
25.66/25.90	    (sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.90	    inference('simplify', [status(thm)], ['1286'])).
25.66/25.90	tff('1288', plain,
25.66/25.90	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['1274', '1115'])).
25.66/25.90	tff('1289', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.66/25.90	    inference('demod', [status(thm)], ['1288', '404'])).
25.66/25.90	tff('1290', plain,
25.66/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0),
25.66/25.90	    inference('simplify', [status(thm)], ['1289'])).
25.66/25.90	tff('1291', plain,
25.66/25.90	    (sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = sk_Xc(sk_R) | sk_Xb(sk_R) = c0),
25.66/25.90	    inference('clc', [status(thm)], ['1287', '1290'])).
25.66/25.90	tff('1292', plain,
25.66/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xb(sk_R))
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.66/25.90	    inference('sup-', [status(thm)], ['1291', '1258'])).
25.66/25.90	tff('1293', plain,
25.66/25.90	    (~ $true
25.66/25.90	     | sk_Xb(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.66/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.66/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1292', '404'])).
25.73/25.90	tff('1294', plain,
25.73/25.90	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1293'])).
25.73/25.90	tff('1295', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xb(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1291', '1240'])).
25.73/25.90	tff('1296', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1295', '404'])).
25.73/25.90	tff('1297', plain,
25.73/25.90	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1296'])).
25.73/25.90	tff('1298', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	       cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_R(w, z, z)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['434', '1112'])).
25.73/25.90	tff('1299', plain,
25.73/25.90	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_R(x, y, y)),
25.73/25.90	    inference('sup-', [status(thm)], ['1291', '74'])).
25.73/25.90	tff('1300', plain,
25.73/25.90	    (~ $true | sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_R(x, y, y)),
25.73/25.90	    inference('demod', [status(thm)], ['1299', '726', '404'])).
25.73/25.90	tff('1301', plain, (sk_R(x, y, y) | sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1300'])).
25.73/25.90	tff('1302', plain,
25.73/25.90	    (~ $true | sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = c0 | ~ sk_R(w, z, z)),
25.73/25.90	    inference('sup-', [status(thm)], ['1301', '6'])).
25.73/25.90	tff('1303', plain, (~ sk_R(w, z, z) | sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1302'])).
25.73/25.90	tff('1304', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('sup-', [status(thm)], ['1298', '1303'])).
25.73/25.90	tff('1305', plain,
25.73/25.90	    (sk_Xb(sk_R) = c0
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1304'])).
25.73/25.90	tff('1306', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('sup+', [status(thm)], ['1297', '1305'])).
25.73/25.90	tff('1307', plain,
25.73/25.90	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1306'])).
25.73/25.90	tff('1308', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1294', '1307'])).
25.73/25.90	tff('1309', plain,
25.73/25.90	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1308'])).
25.73/25.90	tff('1310', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('sup-', [status(thm)], ['1113', '1303'])).
25.73/25.90	tff('1311', plain,
25.73/25.90	    (sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1310'])).
25.73/25.90	tff('1312', plain,
25.73/25.90	    (sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('clc', [status(thm)], ['1309', '1311'])).
25.73/25.90	tff('1313', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('sup-', [status(thm)], ['1312', '1311'])).
25.73/25.90	tff('1314', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('demod', [status(thm)], ['1313', '404'])).
25.73/25.90	tff('1315', plain, (sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1314'])).
25.73/25.90	tff('1316', plain,
25.73/25.90	    (~ sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1315', '1130'])).
25.73/25.90	tff('1317', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, c0, sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1316'])).
25.73/25.90	tff('1318', plain,
25.73/25.90	    (~ sk_R(c0, c0, c0)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1216', '1317'])).
25.73/25.90	tff('1319', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1318', '404'])).
25.73/25.90	tff('1320', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1319'])).
25.73/25.90	tff('1321', plain,
25.73/25.90	    (~ sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1315', '1157'])).
25.73/25.90	tff('1322', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, c0, sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1321'])).
25.73/25.90	tff('1323', plain,
25.73/25.90	    (~ sk_R(c0, c0, c0)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1216', '1322'])).
25.73/25.90	tff('1324', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1323', '404'])).
25.73/25.90	tff('1325', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1324'])).
25.73/25.90	tff('1326', plain,
25.73/25.90	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_R(w, z, z)),
25.73/25.90	    inference('sup-', [status(thm)], ['1315', '57'])).
25.73/25.90	tff('1327', plain,
25.73/25.90	    (~ sk_R(c0, c0, sk_Xc1(sk_R)) | sk_Xb(sk_R) = c0 | sk_R(w, z, z)),
25.73/25.90	    inference('demod', [status(thm)], ['1326', '1112'])).
25.73/25.90	tff('1328', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('sup-', [status(thm)], ['1327', '825'])).
25.73/25.90	tff('1329', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | ~ sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1328'])).
25.73/25.90	tff('1330', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1325', '1329'])).
25.73/25.90	tff('1331', plain,
25.73/25.90	    (~ sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1330'])).
25.73/25.90	tff('1332', plain,
25.73/25.90	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | ~ sk_R(c0, c0, sk_Xc1(sk_R))),
25.73/25.90	    inference('sup+', [status(thm)], ['1320', '1331'])).
25.73/25.90	tff('1333', plain,
25.73/25.90	    (~ sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1332'])).
25.73/25.90	tff('1334', plain,
25.73/25.90	    (~ sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1315', '1115'])).
25.73/25.90	tff('1335', plain,
25.73/25.90	    (sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | ~ sk_R(c0, c0, sk_Xc1(sk_R))),
25.73/25.90	    inference('clc', [status(thm)], ['1333', '1334'])).
25.73/25.90	tff('1336', plain,
25.73/25.90	    (~ sk_R(c0, c0, c0)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('sup-', [status(thm)], ['1216', '1335'])).
25.73/25.90	tff('1337', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('demod', [status(thm)], ['1336', '404'])).
25.73/25.90	tff('1338', plain, (sk_Xb(sk_R) = sk_Xc(sk_R) | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1337'])).
25.73/25.90	tff('1339', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xb(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1338', '1169'])).
25.73/25.90	tff('1340', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1339', '404'])).
25.73/25.90	tff('1341', plain,
25.73/25.90	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1340'])).
25.73/25.90	tff('1342', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xb(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1338', '1144'])).
25.73/25.90	tff('1343', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1342', '404'])).
25.73/25.90	tff('1344', plain,
25.73/25.90	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1343'])).
25.73/25.90	tff('1345', plain,
25.73/25.90	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_R(x, y, y)),
25.73/25.90	    inference('sup-', [status(thm)], ['1338', '74'])).
25.73/25.90	tff('1346', plain, (~ $true | sk_Xb(sk_R) = c0 | sk_R(x, y, y)),
25.73/25.90	    inference('demod', [status(thm)], ['1345', '726', '404'])).
25.73/25.90	tff('1347', plain, (sk_R(x, y, y) | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1346'])).
25.73/25.90	tff('1348', plain, (~ $true | sk_Xb(sk_R) = c0 | ~ sk_R(w, z, z)),
25.73/25.90	    inference('sup-', [status(thm)], ['1347', '6'])).
25.73/25.90	tff('1349', plain, (~ sk_R(w, z, z) | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1348'])).
25.73/25.90	tff('1350', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('sup-', [status(thm)], ['1122', '1349'])).
25.73/25.90	tff('1351', plain,
25.73/25.90	    (sk_Xb(sk_R) = c0
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1350'])).
25.73/25.90	tff('1352', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('sup+', [status(thm)], ['1344', '1351'])).
25.73/25.90	tff('1353', plain,
25.73/25.90	    (c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1352'])).
25.73/25.90	tff('1354', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1341', '1353'])).
25.73/25.90	tff('1355', plain,
25.73/25.90	    (c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1354'])).
25.73/25.90	tff('1356', plain,
25.73/25.90	    (~ $true | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R)) | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('sup-', [status(thm)], ['1113', '1349'])).
25.73/25.90	tff('1357', plain,
25.73/25.90	    (sk_Xb(sk_R) = c0 | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1356'])).
25.73/25.90	tff('1358', plain,
25.73/25.90	    (sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = sk_Xc1(sk_R) | c0 = sk_Xc1(sk_R)),
25.73/25.90	    inference('clc', [status(thm)], ['1355', '1357'])).
25.73/25.90	tff('1359', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('sup-', [status(thm)], ['1358', '1357'])).
25.73/25.90	tff('1360', plain,
25.73/25.90	    (~ $true | c0 = sk_Xc1(sk_R) | sk_Xb(sk_R) = c0 | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('demod', [status(thm)], ['1359', '404'])).
25.73/25.90	tff('1361', plain, (sk_Xb(sk_R) = c0 | c0 = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1360'])).
25.73/25.90	tff('1362', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xb(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, c0, sk_Xc1(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1338', '1334'])).
25.73/25.90	tff('1363', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, c0, sk_Xc1(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1362', '404'])).
25.73/25.90	tff('1364', plain, (~ sk_R(c0, c0, sk_Xc1(sk_R)) | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1363'])).
25.73/25.90	tff('1365', plain,
25.73/25.90	    (~ sk_R(c0, c0, c0) | sk_Xb(sk_R) = c0 | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('sup-', [status(thm)], ['1361', '1364'])).
25.73/25.90	tff('1366', plain, (~ $true | sk_Xb(sk_R) = c0 | sk_Xb(sk_R) = c0),
25.73/25.90	    inference('demod', [status(thm)], ['1365', '404'])).
25.73/25.90	tff('1367', plain, sk_Xb(sk_R) = c0,
25.73/25.90	    inference('simplify', [status(thm)], ['1366'])).
25.73/25.90	tff('1368', plain,
25.73/25.90	    (~ sk_R(c0, c0, sk_Xc(sk_R)) | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1115', '1367'])).
25.73/25.90	tff('1369', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['417', '919'])).
25.73/25.90	tff('1370', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1369'])).
25.73/25.90	tff('1371', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1370', '726'])).
25.73/25.90	tff('1372', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['420', '919'])).
25.73/25.90	tff('1373', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1372'])).
25.73/25.90	tff('1374', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1373', '726'])).
25.73/25.90	tff('1375', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1298', '1010'])).
25.73/25.90	tff('1376', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1375'])).
25.73/25.90	tff('1377', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup+', [status(thm)], ['1374', '1376'])).
25.73/25.90	tff('1378', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1377'])).
25.73/25.90	tff('1379', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup+', [status(thm)], ['1371', '1378'])).
25.73/25.90	tff('1380', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1379'])).
25.73/25.90	tff('1381', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1113', '1010'])).
25.73/25.90	tff('1382', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1381'])).
25.73/25.90	tff('1383', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1380', '1382'])).
25.73/25.90	tff('1384', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1383'])).
25.73/25.90	tff('1385', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['420', '8'])).
25.73/25.90	tff('1386', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1385'])).
25.73/25.90	tff('1387', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1386', '726'])).
25.73/25.90	tff('1388', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('sup-', [status(thm)], ['420', '1018'])).
25.73/25.90	tff('1389', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1388'])).
25.73/25.90	tff('1390', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1387', '1389'])).
25.73/25.90	tff('1391', plain,
25.73/25.90	    (c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1390'])).
25.73/25.90	tff('1392', plain,
25.73/25.90	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1384', '1391'])).
25.73/25.90	tff('1393', plain,
25.73/25.90	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1392'])).
25.73/25.90	tff('1394', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1393', '1240'])).
25.73/25.90	tff('1395', plain,
25.73/25.90	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1394'])).
25.73/25.90	tff('1396', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['417', '8'])).
25.73/25.90	tff('1397', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1396'])).
25.73/25.90	tff('1398', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1397', '726'])).
25.73/25.90	tff('1399', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1298', '1036'])).
25.73/25.90	tff('1400', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1399'])).
25.73/25.90	tff('1401', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup+', [status(thm)], ['1398', '1400'])).
25.73/25.90	tff('1402', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1401'])).
25.73/25.90	tff('1403', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup+', [status(thm)], ['1395', '1402'])).
25.73/25.90	tff('1404', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1403'])).
25.73/25.90	tff('1405', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1113', '1036'])).
25.73/25.90	tff('1406', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1405'])).
25.73/25.90	tff('1407', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1404', '1406'])).
25.73/25.90	tff('1408', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1407'])).
25.73/25.90	tff('1409', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('sup-', [status(thm)], ['417', '1018'])).
25.73/25.90	tff('1410', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1409'])).
25.73/25.90	tff('1411', plain,
25.73/25.90	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1384', '1410'])).
25.73/25.90	tff('1412', plain,
25.73/25.90	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1411'])).
25.73/25.90	tff('1413', plain,
25.73/25.90	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.73/25.90	    inference('sup+', [status(thm)], ['1408', '1412'])).
25.73/25.90	tff('1414', plain,
25.73/25.90	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1413'])).
25.73/25.90	tff('1415', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1414', '1258'])).
25.73/25.90	tff('1416', plain,
25.73/25.90	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1415'])).
25.73/25.90	tff('1417', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('sup-', [status(thm)], ['1298', '1018'])).
25.73/25.90	tff('1418', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1417'])).
25.73/25.90	tff('1419', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('sup+', [status(thm)], ['1395', '1418'])).
25.73/25.90	tff('1420', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1419'])).
25.73/25.90	tff('1421', plain,
25.73/25.90	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1384', '1420'])).
25.73/25.90	tff('1422', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1421'])).
25.73/25.90	tff('1423', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1416', '1422'])).
25.73/25.90	tff('1424', plain,
25.73/25.90	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1423'])).
25.73/25.90	tff('1425', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('sup-', [status(thm)], ['1113', '1018'])).
25.73/25.90	tff('1426', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1425'])).
25.73/25.90	tff('1427', plain,
25.73/25.90	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1384', '1426'])).
25.73/25.90	tff('1428', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1427'])).
25.73/25.90	tff('1429', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup-', [status(thm)], ['1424', '1428'])).
25.73/25.90	tff('1430', plain,
25.73/25.90	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1429'])).
25.73/25.90	tff('1431', plain,
25.73/25.90	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1408', '1430'])).
25.73/25.90	tff('1432', plain,
25.73/25.90	    (c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1431'])).
25.73/25.90	tff('1433', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1298', '834'])).
25.73/25.90	tff('1434', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1433'])).
25.73/25.90	tff('1435', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.90	    inference('sup+', [status(thm)], ['1395', '1434'])).
25.73/25.90	tff('1436', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1435'])).
25.73/25.90	tff('1437', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.90	    inference('sup+', [status(thm)], ['1416', '1436'])).
25.73/25.90	tff('1438', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1437'])).
25.73/25.90	tff('1439', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1438', '1115'])).
25.73/25.90	tff('1440', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1439'])).
25.73/25.90	tff('1441', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup-', [status(thm)], ['1432', '1440'])).
25.73/25.90	tff('1442', plain,
25.73/25.90	    (c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1441'])).
25.73/25.90	tff('1443', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1442', '1406'])).
25.73/25.90	tff('1444', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1443', '404'])).
25.73/25.90	tff('1445', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1444'])).
25.73/25.90	tff('1446', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1442', '1382'])).
25.73/25.90	tff('1447', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1446', '404'])).
25.73/25.90	tff('1448', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1447'])).
25.73/25.90	tff('1449', plain,
25.73/25.90	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(w, z, z)),
25.73/25.90	    inference('sup-', [status(thm)], ['1442', '57'])).
25.73/25.90	tff('1450', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(w, z, z)),
25.73/25.90	    inference('demod', [status(thm)], ['1449', '1112', '404'])).
25.73/25.90	tff('1451', plain,
25.73/25.90	    (sk_R(w, z, z)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1450'])).
25.73/25.90	tff('1452', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('sup-', [status(thm)], ['1451', '1018'])).
25.73/25.90	tff('1453', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1452'])).
25.73/25.90	tff('1454', plain,
25.73/25.90	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1448', '1453'])).
25.73/25.90	tff('1455', plain,
25.73/25.90	    (c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1454'])).
25.73/25.90	tff('1456', plain,
25.73/25.90	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1445', '1455'])).
25.73/25.90	tff('1457', plain,
25.73/25.90	    (c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1456'])).
25.73/25.90	tff('1458', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1442', '1115'])).
25.73/25.90	tff('1459', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1458', '404'])).
25.73/25.90	tff('1460', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1459'])).
25.73/25.90	tff('1461', plain,
25.73/25.90	    (sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = sk_Xc(sk_R) | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('clc', [status(thm)], ['1457', '1460'])).
25.73/25.90	tff('1462', plain,
25.73/25.90	    (sk_Xb(sk_R) != c0 | c0 = sk_Xc(sk_R) | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('eq_fact', [status(thm)], ['1461'])).
25.73/25.90	tff('1463', plain, (sk_Xb1(sk_R) = c0 | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('clc', [status(thm)], ['1462', '1315'])).
25.73/25.90	tff('1464', plain,
25.73/25.90	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), c0) | sk_Xb1(sk_R) = c0 | sk_R(x, y, y)),
25.73/25.90	    inference('sup-', [status(thm)], ['1463', '74'])).
25.73/25.90	tff('1465', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb(sk_R), c0) | sk_Xb1(sk_R) = c0 | sk_R(x, y, y)),
25.73/25.90	    inference('demod', [status(thm)], ['1464', '726'])).
25.73/25.90	tff('1466', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), c0)
25.73/25.90	     | ~ sk_R(w, z, z)),
25.73/25.90	    inference('sup-', [status(thm)], ['1465', '6'])).
25.73/25.90	tff('1467', plain,
25.73/25.90	    (~ sk_R(w, z, z) | ~ sk_R(c0, sk_Xb(sk_R), c0) | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1466'])).
25.73/25.90	tff('1468', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), c0)),
25.73/25.90	    inference('sup-', [status(thm)], ['417', '1467'])).
25.73/25.90	tff('1469', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb(sk_R), c0)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1468'])).
25.73/25.90	tff('1470', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1469', '1367', '404'])).
25.73/25.90	tff('1471', plain,
25.73/25.90	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1470'])).
25.73/25.90	tff('1472', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), c0)),
25.73/25.90	    inference('sup-', [status(thm)], ['420', '1467'])).
25.73/25.90	tff('1473', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb(sk_R), c0)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1472'])).
25.73/25.90	tff('1474', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1473', '1367', '404'])).
25.73/25.90	tff('1475', plain,
25.73/25.90	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1474'])).
25.73/25.90	tff('1476', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), c0)),
25.73/25.90	    inference('sup-', [status(thm)], ['1298', '1467'])).
25.73/25.90	tff('1477', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb(sk_R), c0)
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1476'])).
25.73/25.90	tff('1478', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1477', '1367', '404'])).
25.73/25.90	tff('1479', plain,
25.73/25.90	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1478'])).
25.73/25.90	tff('1480', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1475', '1479'])).
25.73/25.90	tff('1481', plain,
25.73/25.90	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1480'])).
25.73/25.90	tff('1482', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1471', '1481'])).
25.73/25.90	tff('1483', plain,
25.73/25.90	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1482'])).
25.73/25.90	tff('1484', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, sk_Xb(sk_R), c0)),
25.73/25.90	    inference('sup-', [status(thm)], ['1113', '1467'])).
25.73/25.90	tff('1485', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb(sk_R), c0)
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1484'])).
25.73/25.90	tff('1486', plain,
25.73/25.90	    (~ $true | sk_Xb1(sk_R) = c0 | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1485', '1367', '404'])).
25.73/25.90	tff('1487', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R)) | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('simplify', [status(thm)], ['1486'])).
25.73/25.90	tff('1488', plain, (sk_Xb1(sk_R) = c0 | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('clc', [status(thm)], ['1483', '1487'])).
25.73/25.90	tff('1489', plain,
25.73/25.90	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = c0
25.73/25.90	     | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('sup-', [status(thm)], ['1488', '1487'])).
25.73/25.90	tff('1490', plain, (~ $true | sk_Xb1(sk_R) = c0 | sk_Xb1(sk_R) = c0),
25.73/25.90	    inference('demod', [status(thm)], ['1489', '404'])).
25.73/25.90	tff('1491', plain, sk_Xb1(sk_R) = c0,
25.73/25.90	    inference('simplify', [status(thm)], ['1490'])).
25.73/25.90	tff('1492', plain,
25.73/25.90	    (~ sk_R(c0, c0, sk_Xc(sk_R)) | ~ sk_R(c0, c0, sk_Xc1(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1368', '1491'])).
25.73/25.90	tff('1493', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['11', '919'])).
25.73/25.90	tff('1494', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1493'])).
25.73/25.90	tff('1495', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1494', '726'])).
25.73/25.90	tff('1496', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1495', '1112'])).
25.73/25.90	tff('1497', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['12', '919'])).
25.73/25.90	tff('1498', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1497'])).
25.73/25.90	tff('1499', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1498', '726'])).
25.73/25.90	tff('1500', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1499', '1112'])).
25.73/25.90	tff('1501', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1122', '1010'])).
25.73/25.90	tff('1502', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1501'])).
25.73/25.90	tff('1503', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup+', [status(thm)], ['1500', '1502'])).
25.73/25.90	tff('1504', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1503'])).
25.73/25.90	tff('1505', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup+', [status(thm)], ['1496', '1504'])).
25.73/25.90	tff('1506', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1505'])).
25.73/25.90	tff('1507', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1506', '1382'])).
25.73/25.90	tff('1508', plain,
25.73/25.90	    (sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1507'])).
25.73/25.90	tff('1509', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['12', '8'])).
25.73/25.90	tff('1510', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1509'])).
25.73/25.90	tff('1511', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1510', '726'])).
25.73/25.90	tff('1512', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('sup-', [status(thm)], ['12', '1018'])).
25.73/25.90	tff('1513', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1512'])).
25.73/25.90	tff('1514', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1511', '1513'])).
25.73/25.90	tff('1515', plain,
25.73/25.90	    (c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1514'])).
25.73/25.90	tff('1516', plain,
25.73/25.90	    (c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1515', '1112'])).
25.73/25.90	tff('1517', plain,
25.73/25.90	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1508', '1516'])).
25.73/25.90	tff('1518', plain,
25.73/25.90	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1517'])).
25.73/25.90	tff('1519', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1518', '1144'])).
25.73/25.90	tff('1520', plain,
25.73/25.90	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1519'])).
25.73/25.90	tff('1521', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['11', '8'])).
25.73/25.90	tff('1522', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | sk_Xa(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1521'])).
25.73/25.90	tff('1523', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1522', '726'])).
25.73/25.90	tff('1524', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1523', '1112'])).
25.73/25.90	tff('1525', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1122', '1036'])).
25.73/25.90	tff('1526', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1525'])).
25.73/25.90	tff('1527', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup+', [status(thm)], ['1524', '1526'])).
25.73/25.90	tff('1528', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1527'])).
25.73/25.90	tff('1529', plain,
25.73/25.90	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup+', [status(thm)], ['1520', '1528'])).
25.73/25.90	tff('1530', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1529'])).
25.73/25.90	tff('1531', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1530', '1406'])).
25.73/25.90	tff('1532', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1531'])).
25.73/25.90	tff('1533', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1532', '1367'])).
25.73/25.90	tff('1534', plain,
25.73/25.90	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1533'])).
25.73/25.90	tff('1535', plain,
25.73/25.90	    (c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1534', '1491'])).
25.73/25.90	tff('1536', plain,
25.73/25.90	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1535'])).
25.73/25.90	tff('1537', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('sup-', [status(thm)], ['11', '1018'])).
25.73/25.90	tff('1538', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1537'])).
25.73/25.90	tff('1539', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1538', '1112'])).
25.73/25.90	tff('1540', plain,
25.73/25.90	    (sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1508', '1539'])).
25.73/25.90	tff('1541', plain,
25.73/25.90	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1540'])).
25.73/25.90	tff('1542', plain,
25.73/25.90	    (sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.73/25.90	    inference('sup+', [status(thm)], ['1532', '1541'])).
25.73/25.90	tff('1543', plain,
25.73/25.90	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1542'])).
25.73/25.90	tff('1544', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.73/25.90	    inference('sup-', [status(thm)], ['1543', '1169'])).
25.73/25.90	tff('1545', plain,
25.73/25.90	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1544'])).
25.73/25.90	tff('1546', plain,
25.73/25.90	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1545', '1367'])).
25.73/25.90	tff('1547', plain,
25.73/25.90	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1546'])).
25.73/25.90	tff('1548', plain,
25.73/25.90	    (c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1547', '1491'])).
25.73/25.90	tff('1549', plain,
25.73/25.90	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1548'])).
25.73/25.90	tff('1550', plain,
25.73/25.90	    (c0 = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1508', '1367', '1367'])).
25.73/25.90	tff('1551', plain,
25.73/25.90	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1550'])).
25.73/25.90	tff('1552', plain,
25.73/25.90	    (c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1551', '1491'])).
25.73/25.90	tff('1553', plain,
25.73/25.90	    (c0 = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1552'])).
25.73/25.90	tff('1554', plain,
25.73/25.90	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1520', '1367'])).
25.73/25.90	tff('1555', plain,
25.73/25.90	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1554'])).
25.73/25.90	tff('1556', plain,
25.73/25.90	    (c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
25.73/25.90	    inference('demod', [status(thm)], ['1555', '1491', '1491'])).
25.73/25.90	tff('1557', plain,
25.73/25.90	    (c0 = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)),
25.73/25.90	    inference('simplify', [status(thm)], ['1556'])).
25.73/25.90	tff('1558', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	       cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | sk_R(w, z, z)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1122', '1491'])).
25.73/25.90	tff('1559', plain,
25.73/25.90	    (c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(w, z, z)
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1558'])).
25.73/25.90	tff('1560', plain,
25.73/25.90	    (~ sk_R(w, z, z)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('demod', [status(thm)], ['1018', '1367'])).
25.73/25.90	tff('1561', plain,
25.73/25.90	    (c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | ~ sk_R(w, z, z)),
25.73/25.90	    inference('simplify', [status(thm)], ['1560'])).
25.73/25.90	tff('1562', plain,
25.73/25.90	    (~ $true
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup-', [status(thm)], ['1559', '1561'])).
25.73/25.90	tff('1563', plain,
25.73/25.90	    (c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.90	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1562'])).
25.73/25.90	tff('1564', plain,
25.73/25.90	    (sk_R(c0, c0, cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.90	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1557', '1563'])).
25.73/25.90	tff('1565', plain,
25.73/25.90	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, c0, cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1564'])).
25.73/25.90	tff('1566', plain,
25.73/25.90	    (sk_R(c0, c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, c0, cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1553', '1565'])).
25.73/25.90	tff('1567', plain,
25.73/25.90	    (sk_R(c0, c0, cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.90	    inference('simplify', [status(thm)], ['1566'])).
25.73/25.90	tff('1568', plain,
25.73/25.90	    (sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | sk_R(c0, c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | c0 = sk_Xc(sk_R)),
25.73/25.90	    inference('sup+', [status(thm)], ['1549', '1567'])).
25.73/25.90	tff('1569', plain,
25.73/25.90	    (sk_R(c0, c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.90	     | c0 = sk_Xc(sk_R)
25.73/25.90	     | c0 = sk_Xc1(sk_R)
25.73/25.90	     | sk_R(c0, c0, sk_Xc1(sk_R))),
25.73/25.90	    inference('simplify', [status(thm)], ['1568'])).
25.73/25.91	tff('1570', plain, (~ sk_R(c0, c0, sk_Xc1(sk_R)) | sk_R(w, z, z)),
25.73/25.91	    inference('demod', [status(thm)], ['1113', '1491'])).
25.73/25.91	tff('1571', plain,
25.73/25.91	    (~ $true
25.73/25.91	     | ~ sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.91	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.91	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.91	     | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('sup-', [status(thm)], ['1570', '1561'])).
25.73/25.91	tff('1572', plain,
25.73/25.91	    (c0 = sk_Xc(sk_R)
25.73/25.91	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.91	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.91	     | ~ sk_R(c0, c0, sk_Xc1(sk_R))),
25.73/25.91	    inference('simplify', [status(thm)], ['1571'])).
25.73/25.91	tff('1573', plain,
25.73/25.91	    (sk_R(c0, c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | ~ sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('sup+', [status(thm)], ['1553', '1572'])).
25.73/25.91	tff('1574', plain,
25.73/25.91	    (~ sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_R(c0, c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.91	    inference('simplify', [status(thm)], ['1573'])).
25.73/25.91	tff('1575', plain,
25.73/25.91	    (sk_R(c0, c0, sk_Xc(sk_R))
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | ~ sk_R(c0, c0, sk_Xc1(sk_R))),
25.73/25.91	    inference('sup+', [status(thm)], ['1536', '1574'])).
25.73/25.91	tff('1576', plain,
25.73/25.91	    (~ sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_R(c0, c0, sk_Xc(sk_R))),
25.73/25.91	    inference('simplify', [status(thm)], ['1575'])).
25.73/25.91	tff('1577', plain,
25.73/25.91	    (c0 = sk_Xc1(sk_R) | c0 = sk_Xc(sk_R) | ~ sk_R(c0, c0, sk_Xc1(sk_R))),
25.73/25.91	    inference('clc', [status(thm)], ['1576', '1492'])).
25.73/25.91	tff('1578', plain,
25.73/25.91	    (c0 = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | sk_R(c0, c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.91	    inference('clc', [status(thm)], ['1569', '1577'])).
25.73/25.91	tff('1579', plain,
25.73/25.91	    (sk_R(c0, c0, sk_Xc(sk_R))
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)),
25.73/25.91	    inference('sup+', [status(thm)], ['1536', '1578'])).
25.73/25.91	tff('1580', plain,
25.73/25.91	    (c0 = sk_Xc(sk_R) | c0 = sk_Xc1(sk_R) | sk_R(c0, c0, sk_Xc(sk_R))),
25.73/25.91	    inference('simplify', [status(thm)], ['1579'])).
25.73/25.91	tff('1581', plain,
25.73/25.91	    (sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.91	    inference('sup+', [status(thm)], ['1520', '1189'])).
25.73/25.91	tff('1582', plain,
25.73/25.91	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.91	     | sk_R(c0, sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.91	    inference('simplify', [status(thm)], ['1581'])).
25.73/25.91	tff('1583', plain,
25.73/25.91	    (sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.91	    inference('sup+', [status(thm)], ['1545', '1582'])).
25.73/25.91	tff('1584', plain,
25.73/25.91	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.91	     | sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.91	    inference('simplify', [status(thm)], ['1583'])).
25.73/25.91	tff('1585', plain,
25.73/25.91	    (~ $true
25.73/25.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.91	     | ~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))),
25.73/25.91	    inference('sup-', [status(thm)], ['1584', '1115'])).
25.73/25.91	tff('1586', plain,
25.73/25.91	    (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | sk_Xb(sk_R) = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.91	    inference('simplify', [status(thm)], ['1585'])).
25.73/25.91	tff('1587', plain,
25.73/25.91	    (~ sk_R(c0, c0, sk_Xc(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.91	    inference('demod', [status(thm)], ['1586', '1367', '1367'])).
25.73/25.91	tff('1588', plain,
25.73/25.91	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | ~ sk_R(c0, c0, sk_Xc(sk_R))),
25.73/25.91	    inference('simplify', [status(thm)], ['1587'])).
25.73/25.91	tff('1589', plain,
25.73/25.91	    (c0 = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | ~ sk_R(c0, c0, sk_Xc(sk_R))),
25.73/25.91	    inference('demod', [status(thm)], ['1588', '1491'])).
25.73/25.91	tff('1590', plain,
25.73/25.91	    (~ sk_R(c0, c0, sk_Xc(sk_R)) | c0 = sk_Xc(sk_R) | c0 = sk_Xc1(sk_R)),
25.73/25.91	    inference('simplify', [status(thm)], ['1589'])).
25.73/25.91	tff('1591', plain, (c0 = sk_Xc1(sk_R) | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('clc', [status(thm)], ['1580', '1590'])).
25.73/25.91	tff('1592', plain,
25.73/25.91	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.91	    inference('demod', [status(thm)], ['1406', '1367'])).
25.73/25.91	tff('1593', plain,
25.73/25.91	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.91	    inference('simplify', [status(thm)], ['1592'])).
25.73/25.91	tff('1594', plain,
25.73/25.91	    (~ sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))),
25.73/25.91	    inference('demod', [status(thm)], ['1593', '1491'])).
25.73/25.91	tff('1595', plain,
25.73/25.91	    (~ sk_R(c0, c0, c0)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('sup-', [status(thm)], ['1591', '1594'])).
25.73/25.91	tff('1596', plain,
25.73/25.91	    (~ $true
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('demod', [status(thm)], ['1595', '404'])).
25.73/25.91	tff('1597', plain,
25.73/25.91	    (sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R)) | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('simplify', [status(thm)], ['1596'])).
25.73/25.91	tff('1598', plain,
25.73/25.91	    (c0 = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | ~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))),
25.73/25.91	    inference('demod', [status(thm)], ['1382', '1367', '1367'])).
25.73/25.91	tff('1599', plain,
25.73/25.91	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | c0 = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.91	    inference('simplify', [status(thm)], ['1598'])).
25.73/25.91	tff('1600', plain,
25.73/25.91	    (~ sk_R(c0, c0, sk_Xc1(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | c0 = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))),
25.73/25.91	    inference('demod', [status(thm)], ['1599', '1491'])).
25.73/25.91	tff('1601', plain,
25.73/25.91	    (~ sk_R(c0, c0, c0)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | c0 = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('sup-', [status(thm)], ['1591', '1600'])).
25.73/25.91	tff('1602', plain,
25.73/25.91	    (~ $true
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | c0 = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
25.73/25.91	     | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('demod', [status(thm)], ['1601', '404'])).
25.73/25.91	tff('1603', plain, (c0 = cP(sk_Xy1(sk_R), sk_Xy2(sk_R)) | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('simplify', [status(thm)], ['1602'])).
25.73/25.91	tff('1604', plain,
25.73/25.91	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), c0)
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | sk_R(w, z, z)),
25.73/25.91	    inference('sup-', [status(thm)], ['1591', '57'])).
25.73/25.91	tff('1605', plain, (~ $true | c0 = sk_Xc(sk_R) | sk_R(w, z, z)),
25.73/25.91	    inference('demod', [status(thm)], ['1604', '1112', '1491', '404'])).
25.73/25.91	tff('1606', plain, (sk_R(w, z, z) | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('simplify', [status(thm)], ['1605'])).
25.73/25.91	tff('1607', plain,
25.73/25.91	    (~ $true
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
25.73/25.91	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.91	     | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('sup-', [status(thm)], ['1606', '1561'])).
25.73/25.91	tff('1608', plain,
25.73/25.91	    (sk_R(c0, cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.91	     | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('simplify', [status(thm)], ['1607'])).
25.73/25.91	tff('1609', plain,
25.73/25.91	    (sk_R(c0, c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
25.73/25.91	     | c0 = sk_Xc(sk_R)
25.73/25.91	     | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('sup+', [status(thm)], ['1603', '1608'])).
25.73/25.91	tff('1610', plain,
25.73/25.91	    (c0 = sk_Xc(sk_R) | sk_R(c0, c0, cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
25.73/25.91	    inference('simplify', [status(thm)], ['1609'])).
25.73/25.91	tff('1611', plain,
25.73/25.91	    (sk_R(c0, c0, sk_Xc(sk_R)) | c0 = sk_Xc(sk_R) | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('sup+', [status(thm)], ['1597', '1610'])).
25.73/25.91	tff('1612', plain, (c0 = sk_Xc(sk_R) | sk_R(c0, c0, sk_Xc(sk_R))),
25.73/25.91	    inference('simplify', [status(thm)], ['1611'])).
25.73/25.91	tff('1613', plain,
25.73/25.91	    (~ sk_R(c0, c0, c0) | c0 = sk_Xc(sk_R) | ~ sk_R(c0, c0, sk_Xc(sk_R))),
25.73/25.91	    inference('sup-', [status(thm)], ['1591', '1492'])).
25.73/25.91	tff('1614', plain,
25.73/25.91	    (~ $true | c0 = sk_Xc(sk_R) | ~ sk_R(c0, c0, sk_Xc(sk_R))),
25.73/25.91	    inference('demod', [status(thm)], ['1613', '404'])).
25.73/25.91	tff('1615', plain, (~ sk_R(c0, c0, sk_Xc(sk_R)) | c0 = sk_Xc(sk_R)),
25.73/25.91	    inference('simplify', [status(thm)], ['1614'])).
25.73/25.91	tff('1616', plain, c0 = sk_Xc(sk_R),
25.73/25.91	    inference('clc', [status(thm)], ['1612', '1615'])).
25.73/25.91	tff('1617', plain, (~ $true | ~ sk_R(c0, c0, sk_Xc1(sk_R))),
25.73/25.91	    inference('demod', [status(thm)], ['1492', '1616', '404'])).
25.73/25.91	tff('1618', plain, ~ sk_R(c0, c0, sk_Xc1(sk_R)),
25.73/25.91	    inference('simplify', [status(thm)], ['1617'])).
25.73/25.91	tff('1619', plain,
25.73/25.91	    (~ sk_R(c0, c0, sk_Xc(sk_R))
25.73/25.91	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.91	    inference('demod', [status(thm)], ['1169', '1367'])).
25.73/25.91	tff('1620', plain,
25.73/25.91	    (~ sk_R(c0, c0, sk_Xc(sk_R))
25.73/25.91	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)),
25.73/25.91	    inference('demod', [status(thm)], ['1619', '1491'])).
25.73/25.91	tff('1621', plain,
25.73/25.91	    (c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.91	     | ~ sk_R(c0, c0, sk_Xc(sk_R))),
25.73/25.91	    inference('simplify', [status(thm)], ['1620'])).
25.73/25.91	tff('1622', plain,
25.73/25.91	    (c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
25.73/25.91	     | ~ $true),
25.73/25.91	    inference('demod', [status(thm)], ['1621', '1616', '404'])).
25.73/25.91	tff('1623', plain,
25.73/25.91	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R)) | c0 = sk_Xc1(sk_R)),
25.73/25.91	    inference('simplify', [status(thm)], ['1622'])).
25.73/25.91	tff('1624', plain,
25.73/25.91	    (~ sk_R(c0, c0, sk_Xc(sk_R))
25.73/25.91	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
25.73/25.91	    inference('demod', [status(thm)], ['1144', '1367'])).
25.73/25.91	tff('1625', plain,
25.73/25.91	    (~ sk_R(c0, c0, sk_Xc(sk_R))
25.73/25.91	     | c0 = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)),
25.73/25.91	    inference('demod', [status(thm)], ['1624', '1491', '1491'])).
25.73/25.91	tff('1626', plain,
25.73/25.91	    (c0 = sk_Xc1(sk_R)
25.73/25.91	     | c0 = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
25.73/25.91	     | ~ sk_R(c0, c0, sk_Xc(sk_R))),
25.73/25.91	    inference('simplify', [status(thm)], ['1625'])).
25.73/25.91	tff('1627', plain,
25.73/25.91	    (c0 = sk_Xc1(sk_R) | c0 = cP(sk_Xy11(sk_R), sk_Xy21(sk_R)) | ~ $true),
25.73/25.91	    inference('demod', [status(thm)], ['1626', '1616', '404'])).
25.73/25.91	tff('1628', plain,
25.73/25.91	    (c0 = cP(sk_Xy11(sk_R), sk_Xy21(sk_R)) | c0 = sk_Xc1(sk_R)),
25.73/25.91	    inference('simplify', [status(thm)], ['1627'])).
25.73/25.91	tff('1629', plain, (~ sk_R(w, z, z) | ~ sk_R(c0, c0, sk_Xc(sk_R))),
25.73/25.91	    inference('demod', [status(thm)], ['834', '1367'])).
25.73/25.91	tff('1630', plain,
25.73/25.91	    (~ $true
25.73/25.91	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.91	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | ~ sk_R(c0, c0, sk_Xc(sk_R))),
25.73/25.91	    inference('sup-', [status(thm)], ['1559', '1629'])).
25.73/25.91	tff('1631', plain,
25.73/25.91	    (~ sk_R(c0, c0, sk_Xc(sk_R))
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.91	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.91	    inference('simplify', [status(thm)], ['1630'])).
25.73/25.91	tff('1632', plain,
25.73/25.91	    (~ $true
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.91	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.91	    inference('demod', [status(thm)], ['1631', '1616', '404'])).
25.73/25.91	tff('1633', plain,
25.73/25.91	    (sk_R(c0, cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
25.73/25.91	       cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.91	     | c0 = sk_Xc1(sk_R)),
25.73/25.91	    inference('simplify', [status(thm)], ['1632'])).
25.73/25.91	tff('1634', plain,
25.73/25.91	    (sk_R(c0, c0, cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
25.73/25.91	     | c0 = sk_Xc1(sk_R)
25.73/25.91	     | c0 = sk_Xc1(sk_R)),
25.73/25.91	    inference('sup+', [status(thm)], ['1628', '1633'])).
25.73/25.91	tff('1635', plain,
25.73/25.91	    (c0 = sk_Xc1(sk_R) | sk_R(c0, c0, cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
25.73/25.91	    inference('simplify', [status(thm)], ['1634'])).
25.73/25.91	tff('1636', plain,
25.73/25.91	    (sk_R(c0, c0, sk_Xc1(sk_R)) | c0 = sk_Xc1(sk_R) | c0 = sk_Xc1(sk_R)),
25.73/25.91	    inference('sup+', [status(thm)], ['1623', '1635'])).
25.73/25.91	tff('1637', plain, (c0 = sk_Xc1(sk_R) | sk_R(c0, c0, sk_Xc1(sk_R))),
25.73/25.91	    inference('simplify', [status(thm)], ['1636'])).
25.73/25.91	tff('1638', plain, c0 = sk_Xc1(sk_R),
25.73/25.91	    inference('clc', [status(thm)], ['1637', '1618'])).
25.73/25.91	tff('1639', plain, ~ $true,
25.73/25.91	    inference('demod', [status(thm)], ['1618', '1638', '404'])).
25.73/25.91	tff('1640', plain, $false, inference('simplify', [status(thm)], ['1639'])).
25.73/25.91	
25.73/25.91	% SZS output end Refutation
25.73/25.91	EOF
