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    : kbo
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   : n133.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 18:00:23 CST 2018
52.70/52.90	% done 36189 iterations in 52.696s
52.70/52.90	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
52.70/52.90	% SZS output start Refutation
52.70/52.91	tff(cS_INCL_LEM1_pme, conjecture,
52.70/52.91	  (((![R:((a * a * a) > $o)]:
52.70/52.91	       ((![Xa:a,Xb:a,Xc:a]:
52.70/52.91	           (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
52.70/52.91	                (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
52.70/52.91	                 (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
52.70/52.91	             ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
52.70/52.91	            R(Xa,Xb,Xc))) =>
52.70/52.91	        R(w,z,z))) & 
52.70/52.91	    (![R:((a * a * a) > $o)]:
52.70/52.91	       ((![Xa:a,Xb:a,Xc:a]:
52.70/52.91	           (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
52.70/52.91	                (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
52.70/52.91	                 (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
52.70/52.91	             ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
52.70/52.91	            R(Xa,Xb,Xc))) =>
52.70/52.91	        R(x,y,y)))) =>
52.70/52.91	   (![R:((a * a * a) > $o)]:
52.70/52.91	      ((![Xa:a,Xb:a,Xc:a]:
52.70/52.91	          (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
52.70/52.91	               (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
52.70/52.91	                (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
52.70/52.91	            ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
52.70/52.91	           R(Xa,Xb,Xc))) =>
52.70/52.91	       R(cP(x,w),cP(y,z),cP(y,z)))))).
52.70/52.91	tff(zf_stmt_0, negated_conjecture,
52.70/52.91	  (~
52.70/52.91	    (((![R:((a * a * a) > $o)]:
52.70/52.91	         ((![Xa:a,Xb:a,Xc:a]:
52.70/52.91	             (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
52.70/52.91	                  (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
52.70/52.91	                   (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
52.70/52.91	               ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
52.70/52.91	              R(Xa,Xb,Xc))) =>
52.70/52.91	          R(w,z,z))) & 
52.70/52.91	      (![R:((a * a * a) > $o)]:
52.70/52.91	         ((![Xa:a,Xb:a,Xc:a]:
52.70/52.91	             (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
52.70/52.91	                  (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
52.70/52.91	                   (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
52.70/52.91	               ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
52.70/52.91	              R(Xa,Xb,Xc))) =>
52.70/52.91	          R(x,y,y)))) =>
52.70/52.91	     (![R:((a * a * a) > $o)]:
52.70/52.91	        ((![Xa:a,Xb:a,Xc:a]:
52.70/52.91	            (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
52.70/52.91	                 (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
52.70/52.91	                  (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
52.70/52.91	              ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
52.70/52.91	             R(Xa,Xb,Xc))) =>
52.70/52.91	         R(cP(x,w),cP(y,z),cP(y,z))))))).
52.70/52.91	tff('0', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | X0(sk_Xx21(X0), sk_Xy21(X0), sk_Xz21(X0))
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xa1(X0) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('1', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | sk_Xc1(X0) = cP(sk_Xz11(X0), sk_Xz21(X0))
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xa1(X0) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('2', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | sk_Xb1(X0) = cP(sk_Xy11(X0), sk_Xy21(X0))
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xa1(X0) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('3', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | sk_Xa1(X0) = cP(sk_Xx11(X0), sk_Xx21(X0))
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xa1(X0) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('4', plain,
52.70/52.91	    ![X2 : a, X3 : a, X4 : a, X5 : a, X6 : a, X7 : a, X8 : a, X9 : a, X10 : a]:
52.70/52.91	      (sk_R(X2, X3, X4)
52.70/52.91	       | ~ sk_R(X5, X6, X7)
52.70/52.91	       | X3 != cP(X6, X8)
52.70/52.91	       | X2 != cP(X5, X9)
52.70/52.91	       | X4 != cP(X7, X10)
52.70/52.91	       | ~ sk_R(X9, X8, X10)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('5', plain,
52.70/52.91	    ![X5 : a, X6 : a, X7 : a, X8 : a, X9 : a, X10 : a]:
52.70/52.91	      (~ sk_R(X9, X8, X10)
52.70/52.91	       | ~ sk_R(X5, X6, X7)
52.70/52.91	       | sk_R(cP(X5, X9), cP(X6, X8), cP(X7, X10))),
52.70/52.91	    inference('simplify', [status(thm)], ['4'])).
52.70/52.91	tff('6', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
52.70/52.91	      (sk_R(sk_Xa1(X0), cP(X4, X3), cP(X2, X1))
52.70/52.91	       | sk_Xa1(X0) = c0
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | X0(w, z, z)
52.70/52.91	       | ~ sk_R(sk_Xx11(X0), X4, X2)
52.70/52.91	       | ~ sk_R(sk_Xx21(X0), X3, X1)),
52.70/52.91	    inference('sup+', [status(thm)], ['3', '5'])).
52.70/52.91	tff('7', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : (a * a * a) > $o]:
52.70/52.91	      (sk_R(sk_Xa1(X3), sk_Xb1(X0), cP(X2, X1))
52.70/52.91	       | sk_Xa1(X0) = c0
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | X0(w, z, z)
52.70/52.91	       | ~ sk_R(sk_Xx21(X3), sk_Xy21(X0), X1)
52.70/52.91	       | ~ sk_R(sk_Xx11(X3), sk_Xy11(X0), X2)
52.70/52.91	       | X3(w, z, z)
52.70/52.91	       | sk_Xa1(X3) = sk_Xc1(X3)
52.70/52.91	       | sk_Xa1(X3) = c0),
52.70/52.91	    inference('sup+', [status(thm)], ['2', '6'])).
52.70/52.91	tff('8', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : (a * a * a) > $o, X2 : (a * a * a) > $o]:
52.70/52.91	      (sk_R(sk_Xa1(X2), sk_Xb1(X1), sk_Xc1(X0))
52.70/52.91	       | sk_Xa1(X0) = c0
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | X0(w, z, z)
52.70/52.91	       | sk_Xa1(X2) = c0
52.70/52.91	       | sk_Xa1(X2) = sk_Xc1(X2)
52.70/52.91	       | X2(w, z, z)
52.70/52.91	       | ~ sk_R(sk_Xx11(X2), sk_Xy11(X1), sk_Xz11(X0))
52.70/52.91	       | ~ sk_R(sk_Xx21(X2), sk_Xy21(X1), sk_Xz21(X0))
52.70/52.91	       | X1(w, z, z)
52.70/52.91	       | sk_Xa1(X1) = sk_Xc1(X1)
52.70/52.91	       | sk_Xa1(X1) = c0),
52.70/52.91	    inference('sup+', [status(thm)], ['1', '7'])).
52.70/52.91	tff('9', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
52.70/52.91	    inference('sup-', [status(thm)], ['0', '8'])).
52.70/52.91	tff('10', plain,
52.70/52.91	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
52.70/52.91	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['9'])).
52.70/52.91	tff('11', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z) | ~ X0(sk_Xa1(X0), sk_Xb1(X0), sk_Xc1(X0))),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('12', plain,
52.70/52.91	    (sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))),
52.70/52.91	    inference('clc', [status(thm)], ['10', '11'])).
52.70/52.91	tff('13', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | X0(sk_Xx11(X0), sk_Xy11(X0), sk_Xz11(X0))
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xa1(X0) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('14', plain,
52.70/52.91	    (sk_R(w, z, z) | sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('clc', [status(thm)], ['12', '13'])).
52.70/52.91	tff('15', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | X1(sk_Xx2(X1), sk_Xy2(X1), sk_Xz2(X1))
52.70/52.91	       | sk_Xa(X1) = sk_Xc(X1)
52.70/52.91	       | sk_Xb(X1) = sk_Xc(X1)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('16', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | sk_Xc(X1) = cP(sk_Xz1(X1), sk_Xz2(X1))
52.70/52.91	       | sk_Xa(X1) = sk_Xc(X1)
52.70/52.91	       | sk_Xb(X1) = sk_Xc(X1)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('17', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | X1(sk_Xx1(X1), sk_Xy1(X1), sk_Xz1(X1))
52.70/52.91	       | sk_Xa(X1) = sk_Xc(X1)
52.70/52.91	       | sk_Xb(X1) = sk_Xc(X1)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('18', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | X0(sk_Xx21(X0), sk_Xy21(X0), sk_Xz21(X0))
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | sk_Xa1(X0) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('19', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | sk_Xc1(X0) = cP(sk_Xz11(X0), sk_Xz21(X0))
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | sk_Xa1(X0) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('20', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | sk_Xb1(X0) = cP(sk_Xy11(X0), sk_Xy21(X0))
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | sk_Xa1(X0) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('21', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | sk_Xa1(X0) = cP(sk_Xx11(X0), sk_Xx21(X0))
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | sk_Xa1(X0) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('22', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
52.70/52.91	      (sk_R(sk_Xa1(X0), cP(X4, X3), cP(X2, X1))
52.70/52.91	       | sk_Xa1(X0) = c0
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | X0(w, z, z)
52.70/52.91	       | ~ sk_R(sk_Xx11(X0), X4, X2)
52.70/52.91	       | ~ sk_R(sk_Xx21(X0), X3, X1)),
52.70/52.91	    inference('sup+', [status(thm)], ['21', '5'])).
52.70/52.91	tff('23', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : (a * a * a) > $o]:
52.70/52.91	      (sk_R(sk_Xa1(X3), sk_Xb1(X0), cP(X2, X1))
52.70/52.91	       | sk_Xa1(X0) = c0
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | X0(w, z, z)
52.70/52.91	       | ~ sk_R(sk_Xx21(X3), sk_Xy21(X0), X1)
52.70/52.91	       | ~ sk_R(sk_Xx11(X3), sk_Xy11(X0), X2)
52.70/52.91	       | X3(w, z, z)
52.70/52.91	       | sk_Xb1(X3) = c0
52.70/52.91	       | sk_Xa1(X3) = c0),
52.70/52.91	    inference('sup+', [status(thm)], ['20', '22'])).
52.70/52.91	tff('24', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : (a * a * a) > $o, X2 : (a * a * a) > $o]:
52.70/52.91	      (sk_R(sk_Xa1(X2), sk_Xb1(X1), sk_Xc1(X0))
52.70/52.91	       | sk_Xa1(X0) = c0
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | X0(w, z, z)
52.70/52.91	       | sk_Xa1(X2) = c0
52.70/52.91	       | sk_Xb1(X2) = c0
52.70/52.91	       | X2(w, z, z)
52.70/52.91	       | ~ sk_R(sk_Xx11(X2), sk_Xy11(X1), sk_Xz11(X0))
52.70/52.91	       | ~ sk_R(sk_Xx21(X2), sk_Xy21(X1), sk_Xz21(X0))
52.70/52.91	       | X1(w, z, z)
52.70/52.91	       | sk_Xb1(X1) = c0
52.70/52.91	       | sk_Xa1(X1) = c0),
52.70/52.91	    inference('sup+', [status(thm)], ['19', '23'])).
52.70/52.91	tff('25', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
52.70/52.91	    inference('sup-', [status(thm)], ['18', '24'])).
52.70/52.91	tff('26', plain,
52.70/52.91	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
52.70/52.91	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['25'])).
52.70/52.91	tff('27', plain,
52.70/52.91	    (sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))),
52.70/52.91	    inference('clc', [status(thm)], ['26', '11'])).
52.70/52.91	tff('28', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | X0(sk_Xx11(X0), sk_Xy11(X0), sk_Xz11(X0))
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | sk_Xa1(X0) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('29', plain, (sk_R(w, z, z) | sk_Xb1(sk_R) = c0 | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('clc', [status(thm)], ['27', '28'])).
52.70/52.91	tff('30', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | X1(sk_Xx2(X1), sk_Xy2(X1), sk_Xz2(X1))
52.70/52.91	       | sk_Xb(X1) = c0
52.70/52.91	       | sk_Xb(X1) = sk_Xc(X1)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('31', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | sk_Xc(X1) = cP(sk_Xz1(X1), sk_Xz2(X1))
52.70/52.91	       | sk_Xb(X1) = c0
52.70/52.91	       | sk_Xb(X1) = sk_Xc(X1)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('32', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | sk_Xb(X1) = cP(sk_Xy1(X1), sk_Xy2(X1))
52.70/52.91	       | sk_Xb(X1) = c0
52.70/52.91	       | sk_Xb(X1) = sk_Xc(X1)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('33', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | sk_Xa(X1) = cP(sk_Xx1(X1), sk_Xx2(X1))
52.70/52.91	       | sk_Xb(X1) = c0
52.70/52.91	       | sk_Xb(X1) = sk_Xc(X1)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('34', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
52.70/52.91	      (sk_R(sk_Xa(X0), cP(X4, X3), cP(X2, X1))
52.70/52.91	       | sk_Xb(X0) = sk_Xc(X0)
52.70/52.91	       | sk_Xb(X0) = c0
52.70/52.91	       | X0(x, y, y)
52.70/52.91	       | ~ sk_R(sk_Xx1(X0), X4, X2)
52.70/52.91	       | ~ sk_R(sk_Xx2(X0), X3, X1)),
52.70/52.91	    inference('sup+', [status(thm)], ['33', '5'])).
52.70/52.91	tff('35', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : (a * a * a) > $o]:
52.70/52.91	      (sk_R(sk_Xa(X3), sk_Xb(X0), cP(X2, X1))
52.70/52.91	       | sk_Xb(X0) = sk_Xc(X0)
52.70/52.91	       | sk_Xb(X0) = c0
52.70/52.91	       | X0(x, y, y)
52.70/52.91	       | ~ sk_R(sk_Xx2(X3), sk_Xy2(X0), X1)
52.70/52.91	       | ~ sk_R(sk_Xx1(X3), sk_Xy1(X0), X2)
52.70/52.91	       | X3(x, y, y)
52.70/52.91	       | sk_Xb(X3) = c0
52.70/52.91	       | sk_Xb(X3) = sk_Xc(X3)),
52.70/52.91	    inference('sup+', [status(thm)], ['32', '34'])).
52.70/52.91	tff('36', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : (a * a * a) > $o, X2 : (a * a * a) > $o]:
52.70/52.91	      (sk_R(sk_Xa(X2), sk_Xb(X1), sk_Xc(X0))
52.70/52.91	       | sk_Xb(X0) = sk_Xc(X0)
52.70/52.91	       | sk_Xb(X0) = c0
52.70/52.91	       | X0(x, y, y)
52.70/52.91	       | sk_Xb(X2) = sk_Xc(X2)
52.70/52.91	       | sk_Xb(X2) = c0
52.70/52.91	       | X2(x, y, y)
52.70/52.91	       | ~ sk_R(sk_Xx1(X2), sk_Xy1(X1), sk_Xz1(X0))
52.70/52.91	       | ~ sk_R(sk_Xx2(X2), sk_Xy2(X1), sk_Xz2(X0))
52.70/52.91	       | X1(x, y, y)
52.70/52.91	       | sk_Xb(X1) = c0
52.70/52.91	       | sk_Xb(X1) = sk_Xc(X1)),
52.70/52.91	    inference('sup+', [status(thm)], ['31', '35'])).
52.70/52.91	tff('37', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
52.70/52.91	    inference('sup-', [status(thm)], ['30', '36'])).
52.70/52.91	tff('38', plain,
52.70/52.91	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
52.70/52.91	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
52.70/52.91	    inference('simplify', [status(thm)], ['37'])).
52.70/52.91	tff('39', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y) | ~ X1(sk_Xa(X1), sk_Xb(X1), sk_Xc(X1))),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('40', plain,
52.70/52.91	    (sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))),
52.70/52.91	    inference('clc', [status(thm)], ['38', '39'])).
52.70/52.91	tff('41', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | X1(sk_Xx1(X1), sk_Xy1(X1), sk_Xz1(X1))
52.70/52.91	       | sk_Xb(X1) = c0
52.70/52.91	       | sk_Xb(X1) = sk_Xc(X1)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('42', plain,
52.70/52.91	    (sk_R(x, y, y) | sk_Xb(sk_R) = c0 | sk_Xb(sk_R) = sk_Xc(sk_R)),
52.70/52.91	    inference('clc', [status(thm)], ['40', '41'])).
52.70/52.91	tff('43', plain, ~ sk_R(cP(x, w), cP(y, z), cP(y, z)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('44', plain, (~ $true | ~ sk_R(x, y, y) | ~ sk_R(w, z, z)),
52.70/52.91	    inference('sup-', [status(thm)], ['5', '43'])).
52.70/52.91	tff('45', plain, (~ sk_R(w, z, z) | ~ sk_R(x, y, y)),
52.70/52.91	    inference('simplify', [status(thm)], ['44'])).
52.70/52.91	tff('46', plain,
52.70/52.91	    (~ $true | sk_Xb(sk_R) = sk_Xc(sk_R) | sk_Xb(sk_R) = c0 | ~ sk_R(w, z, z)),
52.70/52.91	    inference('sup-', [status(thm)], ['42', '45'])).
52.70/52.91	tff('47', plain,
52.70/52.91	    (~ sk_R(w, z, z) | sk_Xb(sk_R) = c0 | sk_Xb(sk_R) = sk_Xc(sk_R)),
52.70/52.91	    inference('simplify', [status(thm)], ['46'])).
52.70/52.91	tff('48', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_Xb(sk_R) = c0),
52.70/52.91	    inference('sup-', [status(thm)], ['29', '47'])).
52.70/52.91	tff('49', plain,
52.70/52.91	    (sk_Xb(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['48'])).
52.70/52.91	tff('50', plain,
52.70/52.91	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)),
52.70/52.91	    inference('sup-', [status(thm)], ['49', '39'])).
52.70/52.91	tff('51', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | sk_Xc1(X0) = cP(sk_Xz11(X0), sk_Xz21(X0))
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('52', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | X0(sk_Xx11(X0), sk_Xy11(X0), sk_Xz11(X0))
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('53', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | X0(sk_Xx21(X0), sk_Xy21(X0), sk_Xz21(X0))
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('54', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | sk_Xc1(X0) = cP(sk_Xz11(X0), sk_Xz21(X0))
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('55', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | sk_Xb1(X0) = cP(sk_Xy11(X0), sk_Xy21(X0))
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('56', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | sk_Xa1(X0) = cP(sk_Xx11(X0), sk_Xx21(X0))
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('57', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
52.70/52.91	      (sk_R(sk_Xa1(X0), cP(X4, X3), cP(X2, X1))
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | X0(w, z, z)
52.70/52.91	       | ~ sk_R(sk_Xx11(X0), X4, X2)
52.70/52.91	       | ~ sk_R(sk_Xx21(X0), X3, X1)),
52.70/52.91	    inference('sup+', [status(thm)], ['56', '5'])).
52.70/52.91	tff('58', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : (a * a * a) > $o]:
52.70/52.91	      (sk_R(sk_Xa1(X3), sk_Xb1(X0), cP(X2, X1))
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | X0(w, z, z)
52.70/52.91	       | ~ sk_R(sk_Xx21(X3), sk_Xy21(X0), X1)
52.70/52.91	       | ~ sk_R(sk_Xx11(X3), sk_Xy11(X0), X2)
52.70/52.91	       | X3(w, z, z)
52.70/52.91	       | sk_Xb1(X3) = c0
52.70/52.91	       | sk_Xb1(X3) = sk_Xc1(X3)),
52.70/52.91	    inference('sup+', [status(thm)], ['55', '57'])).
52.70/52.91	tff('59', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : (a * a * a) > $o, X2 : (a * a * a) > $o]:
52.70/52.91	      (sk_R(sk_Xa1(X2), sk_Xb1(X1), sk_Xc1(X0))
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | X0(w, z, z)
52.70/52.91	       | sk_Xb1(X2) = sk_Xc1(X2)
52.70/52.91	       | sk_Xb1(X2) = c0
52.70/52.91	       | X2(w, z, z)
52.70/52.91	       | ~ sk_R(sk_Xx11(X2), sk_Xy11(X1), sk_Xz11(X0))
52.70/52.91	       | ~ sk_R(sk_Xx21(X2), sk_Xy21(X1), sk_Xz21(X0))
52.70/52.91	       | X1(w, z, z)
52.70/52.91	       | sk_Xb1(X1) = c0
52.70/52.91	       | sk_Xb1(X1) = sk_Xc1(X1)),
52.70/52.91	    inference('sup+', [status(thm)], ['54', '58'])).
52.70/52.91	tff('60', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
52.70/52.91	    inference('sup-', [status(thm)], ['53', '59'])).
52.70/52.91	tff('61', plain,
52.70/52.91	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
52.70/52.91	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.91	    inference('simplify', [status(thm)], ['60'])).
52.70/52.91	tff('62', plain,
52.70/52.91	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))),
52.70/52.91	    inference('clc', [status(thm)], ['61', '11'])).
52.70/52.91	tff('63', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | X0(sk_Xx11(X0), sk_Xy11(X0), sk_Xz11(X0))
52.70/52.91	       | sk_Xb1(X0) = c0
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('64', plain,
52.70/52.91	    (sk_R(w, z, z) | sk_Xb1(sk_R) = c0 | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.91	    inference('clc', [status(thm)], ['62', '63'])).
52.70/52.91	tff('65', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | X0(sk_Xx21(X0), sk_Xy21(X0), sk_Xz21(X0))
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('66', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | X1(sk_Xx2(X1), sk_Xy2(X1), sk_Xz2(X1))
52.70/52.91	       | sk_Xb(X1) = c0
52.70/52.91	       | sk_Xa(X1) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('67', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | sk_Xc(X1) = cP(sk_Xz1(X1), sk_Xz2(X1))
52.70/52.91	       | sk_Xb(X1) = c0
52.70/52.91	       | sk_Xa(X1) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('68', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | sk_Xb(X1) = cP(sk_Xy1(X1), sk_Xy2(X1))
52.70/52.91	       | sk_Xb(X1) = c0
52.70/52.91	       | sk_Xa(X1) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('69', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | sk_Xa(X1) = cP(sk_Xx1(X1), sk_Xx2(X1))
52.70/52.91	       | sk_Xb(X1) = c0
52.70/52.91	       | sk_Xa(X1) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('70', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
52.70/52.91	      (sk_R(sk_Xa(X0), cP(X4, X3), cP(X2, X1))
52.70/52.91	       | sk_Xa(X0) = c0
52.70/52.91	       | sk_Xb(X0) = c0
52.70/52.91	       | X0(x, y, y)
52.70/52.91	       | ~ sk_R(sk_Xx1(X0), X4, X2)
52.70/52.91	       | ~ sk_R(sk_Xx2(X0), X3, X1)),
52.70/52.91	    inference('sup+', [status(thm)], ['69', '5'])).
52.70/52.91	tff('71', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : (a * a * a) > $o]:
52.70/52.91	      (sk_R(sk_Xa(X3), sk_Xb(X0), cP(X2, X1))
52.70/52.91	       | sk_Xa(X0) = c0
52.70/52.91	       | sk_Xb(X0) = c0
52.70/52.91	       | X0(x, y, y)
52.70/52.91	       | ~ sk_R(sk_Xx2(X3), sk_Xy2(X0), X1)
52.70/52.91	       | ~ sk_R(sk_Xx1(X3), sk_Xy1(X0), X2)
52.70/52.91	       | X3(x, y, y)
52.70/52.91	       | sk_Xb(X3) = c0
52.70/52.91	       | sk_Xa(X3) = c0),
52.70/52.91	    inference('sup+', [status(thm)], ['68', '70'])).
52.70/52.91	tff('72', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : (a * a * a) > $o, X2 : (a * a * a) > $o]:
52.70/52.91	      (sk_R(sk_Xa(X2), sk_Xb(X1), sk_Xc(X0))
52.70/52.91	       | sk_Xa(X0) = c0
52.70/52.91	       | sk_Xb(X0) = c0
52.70/52.91	       | X0(x, y, y)
52.70/52.91	       | sk_Xa(X2) = c0
52.70/52.91	       | sk_Xb(X2) = c0
52.70/52.91	       | X2(x, y, y)
52.70/52.91	       | ~ sk_R(sk_Xx1(X2), sk_Xy1(X1), sk_Xz1(X0))
52.70/52.91	       | ~ sk_R(sk_Xx2(X2), sk_Xy2(X1), sk_Xz2(X0))
52.70/52.91	       | X1(x, y, y)
52.70/52.91	       | sk_Xb(X1) = c0
52.70/52.91	       | sk_Xa(X1) = c0),
52.70/52.91	    inference('sup+', [status(thm)], ['67', '71'])).
52.70/52.91	tff('73', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
52.70/52.91	    inference('sup-', [status(thm)], ['66', '72'])).
52.70/52.91	tff('74', plain,
52.70/52.91	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
52.70/52.91	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['73'])).
52.70/52.91	tff('75', plain,
52.70/52.91	    (sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))),
52.70/52.91	    inference('clc', [status(thm)], ['74', '39'])).
52.70/52.91	tff('76', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | X1(sk_Xx1(X1), sk_Xy1(X1), sk_Xz1(X1))
52.70/52.91	       | sk_Xb(X1) = c0
52.70/52.91	       | sk_Xa(X1) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('77', plain, (sk_R(x, y, y) | sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('clc', [status(thm)], ['75', '76'])).
52.70/52.91	tff('78', plain,
52.70/52.91	    (~ $true | sk_Xa(sk_R) = c0 | sk_Xb(sk_R) = c0 | ~ sk_R(w, z, z)),
52.70/52.91	    inference('sup-', [status(thm)], ['77', '45'])).
52.70/52.91	tff('79', plain, (~ sk_R(w, z, z) | sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['78'])).
52.70/52.91	tff('80', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0),
52.70/52.91	    inference('sup-', [status(thm)], ['64', '79'])).
52.70/52.91	tff('81', plain,
52.70/52.91	    (sk_Xb(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.91	    inference('simplify', [status(thm)], ['80'])).
52.70/52.91	tff('82', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | X1(sk_Xx2(X1), sk_Xy2(X1), sk_Xz2(X1))
52.70/52.91	       | sk_Xa(X1) = sk_Xc(X1)
52.70/52.91	       | sk_Xa(X1) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('83', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | sk_Xc(X1) = cP(sk_Xz1(X1), sk_Xz2(X1))
52.70/52.91	       | sk_Xa(X1) = sk_Xc(X1)
52.70/52.91	       | sk_Xa(X1) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('84', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | sk_Xb(X1) = cP(sk_Xy1(X1), sk_Xy2(X1))
52.70/52.91	       | sk_Xa(X1) = sk_Xc(X1)
52.70/52.91	       | sk_Xa(X1) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('85', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | sk_Xa(X1) = cP(sk_Xx1(X1), sk_Xx2(X1))
52.70/52.91	       | sk_Xa(X1) = sk_Xc(X1)
52.70/52.91	       | sk_Xa(X1) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('86', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
52.70/52.91	      (sk_R(sk_Xa(X0), cP(X4, X3), cP(X2, X1))
52.70/52.91	       | sk_Xa(X0) = c0
52.70/52.91	       | sk_Xa(X0) = sk_Xc(X0)
52.70/52.91	       | X0(x, y, y)
52.70/52.91	       | ~ sk_R(sk_Xx1(X0), X4, X2)
52.70/52.91	       | ~ sk_R(sk_Xx2(X0), X3, X1)),
52.70/52.91	    inference('sup+', [status(thm)], ['85', '5'])).
52.70/52.91	tff('87', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : (a * a * a) > $o]:
52.70/52.91	      (sk_R(sk_Xa(X3), sk_Xb(X0), cP(X2, X1))
52.70/52.91	       | sk_Xa(X0) = c0
52.70/52.91	       | sk_Xa(X0) = sk_Xc(X0)
52.70/52.91	       | X0(x, y, y)
52.70/52.91	       | ~ sk_R(sk_Xx2(X3), sk_Xy2(X0), X1)
52.70/52.91	       | ~ sk_R(sk_Xx1(X3), sk_Xy1(X0), X2)
52.70/52.91	       | X3(x, y, y)
52.70/52.91	       | sk_Xa(X3) = sk_Xc(X3)
52.70/52.91	       | sk_Xa(X3) = c0),
52.70/52.91	    inference('sup+', [status(thm)], ['84', '86'])).
52.70/52.91	tff('88', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : (a * a * a) > $o, X2 : (a * a * a) > $o]:
52.70/52.91	      (sk_R(sk_Xa(X2), sk_Xb(X1), sk_Xc(X0))
52.70/52.91	       | sk_Xa(X0) = c0
52.70/52.91	       | sk_Xa(X0) = sk_Xc(X0)
52.70/52.91	       | X0(x, y, y)
52.70/52.91	       | sk_Xa(X2) = c0
52.70/52.91	       | sk_Xa(X2) = sk_Xc(X2)
52.70/52.91	       | X2(x, y, y)
52.70/52.91	       | ~ sk_R(sk_Xx1(X2), sk_Xy1(X1), sk_Xz1(X0))
52.70/52.91	       | ~ sk_R(sk_Xx2(X2), sk_Xy2(X1), sk_Xz2(X0))
52.70/52.91	       | X1(x, y, y)
52.70/52.91	       | sk_Xa(X1) = sk_Xc(X1)
52.70/52.91	       | sk_Xa(X1) = c0),
52.70/52.91	    inference('sup+', [status(thm)], ['83', '87'])).
52.70/52.91	tff('89', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
52.70/52.91	    inference('sup-', [status(thm)], ['82', '88'])).
52.70/52.91	tff('90', plain,
52.70/52.91	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
52.70/52.91	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['89'])).
52.70/52.91	tff('91', plain,
52.70/52.91	    (sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))),
52.70/52.91	    inference('clc', [status(thm)], ['90', '39'])).
52.70/52.91	tff('92', plain,
52.70/52.91	    ![X1 : (a * a * a) > $o]:
52.70/52.91	      (X1(x, y, y)
52.70/52.91	       | X1(sk_Xx1(X1), sk_Xy1(X1), sk_Xz1(X1))
52.70/52.91	       | sk_Xa(X1) = sk_Xc(X1)
52.70/52.91	       | sk_Xa(X1) = c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('93', plain,
52.70/52.91	    (sk_R(x, y, y) | sk_Xa(sk_R) = sk_Xc(sk_R) | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('clc', [status(thm)], ['91', '92'])).
52.70/52.91	tff('94', plain,
52.70/52.91	    (~ $true | sk_Xa(sk_R) = c0 | sk_Xa(sk_R) = sk_Xc(sk_R) | ~ sk_R(w, z, z)),
52.70/52.91	    inference('sup-', [status(thm)], ['93', '45'])).
52.70/52.91	tff('95', plain,
52.70/52.91	    (~ sk_R(w, z, z) | sk_Xa(sk_R) = sk_Xc(sk_R) | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['94'])).
52.70/52.91	tff('96', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
52.70/52.91	    inference('sup-', [status(thm)], ['14', '95'])).
52.70/52.91	tff('97', plain,
52.70/52.91	    (sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['96'])).
52.70/52.91	tff('98', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0),
52.70/52.91	    inference('sup-', [status(thm)], ['14', '79'])).
52.70/52.91	tff('99', plain,
52.70/52.91	    (sk_Xb(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['98'])).
52.70/52.91	tff('100', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0),
52.70/52.91	    inference('sup-', [status(thm)], ['29', '79'])).
52.70/52.91	tff('101', plain,
52.70/52.91	    (sk_Xb(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['100'])).
52.70/52.91	tff('102', plain,
52.70/52.91	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)),
52.70/52.91	    inference('sup-', [status(thm)], ['101', '11'])).
52.70/52.91	tff('103', plain,
52.70/52.91	    (sk_Xb(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | ~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))),
52.70/52.91	    inference('clc', [status(thm)], ['102', '79'])).
52.70/52.91	tff('104', plain,
52.70/52.91	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0),
52.70/52.91	    inference('sup-', [status(thm)], ['99', '103'])).
52.70/52.91	tff('105', plain,
52.70/52.91	    ![X2 : a, X3 : a, X4 : a]: (sk_R(X2, X3, X4) | X2 != X4 | X3 != c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('106', plain, ![X4 : a]: sk_R(X4, c0, X4),
52.70/52.91	    inference('simplify', [status(thm)], ['105'])).
52.70/52.91	tff('107', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0),
52.70/52.91	    inference('demod', [status(thm)], ['104', '106'])).
52.70/52.91	tff('108', plain, (sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['107'])).
52.70/52.91	tff('109', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
52.70/52.91	    inference('sup-', [status(thm)], ['29', '95'])).
52.70/52.91	tff('110', plain,
52.70/52.91	    (sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['109'])).
52.70/52.91	tff('111', plain,
52.70/52.91	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xa(sk_R))
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)),
52.70/52.91	    inference('sup-', [status(thm)], ['110', '39'])).
52.70/52.91	tff('112', plain,
52.70/52.91	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xa(sk_R))
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('sup-', [status(thm)], ['108', '111'])).
52.70/52.91	tff('113', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('demod', [status(thm)], ['112', '106'])).
52.70/52.91	tff('114', plain,
52.70/52.91	    (sk_Xb1(sk_R) = c0 | sk_R(x, y, y) | sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['113'])).
52.70/52.91	tff('115', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | ~ sk_R(w, z, z)),
52.70/52.91	    inference('sup-', [status(thm)], ['114', '45'])).
52.70/52.91	tff('116', plain,
52.70/52.91	    (~ sk_R(w, z, z)
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['115'])).
52.70/52.91	tff('117', plain, (sk_Xa1(sk_R) = c0 | sk_Xa(sk_R) = c0 | sk_Xb1(sk_R) = c0),
52.70/52.91	    inference('clc', [status(thm)], ['116', '29'])).
52.70/52.91	tff('118', plain,
52.70/52.91	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)),
52.70/52.91	    inference('sup-', [status(thm)], ['117', '11'])).
52.70/52.91	tff('119', plain,
52.70/52.91	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('sup-', [status(thm)], ['97', '118'])).
52.70/52.91	tff('120', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('demod', [status(thm)], ['119', '106'])).
52.70/52.91	tff('121', plain,
52.70/52.91	    (sk_R(w, z, z)
52.70/52.91	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['120'])).
52.70/52.91	tff('122', plain,
52.70/52.91	    (sk_Xa1(sk_R) = c0 | sk_Xa(sk_R) = c0 | sk_Xa(sk_R) = sk_Xc(sk_R)),
52.70/52.91	    inference('clc', [status(thm)], ['121', '95'])).
52.70/52.91	tff('123', plain,
52.70/52.91	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R))
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)),
52.70/52.91	    inference('sup-', [status(thm)], ['108', '39'])).
52.70/52.91	tff('124', plain,
52.70/52.91	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xa(sk_R))
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('sup-', [status(thm)], ['122', '123'])).
52.70/52.91	tff('125', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_R(x, y, y)
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('demod', [status(thm)], ['124', '106'])).
52.70/52.91	tff('126', plain, (sk_R(x, y, y) | sk_Xa1(sk_R) = c0 | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['125'])).
52.70/52.91	tff('127', plain,
52.70/52.91	    (~ $true | sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = c0 | ~ sk_R(w, z, z)),
52.70/52.91	    inference('sup-', [status(thm)], ['126', '45'])).
52.70/52.91	tff('128', plain, (~ sk_R(w, z, z) | sk_Xa1(sk_R) = c0 | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['127'])).
52.70/52.91	tff('129', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('sup-', [status(thm)], ['14', '128'])).
52.70/52.91	tff('130', plain,
52.70/52.91	    (sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['129'])).
52.70/52.91	tff('131', plain,
52.70/52.91	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('sup-', [status(thm)], ['130', '118'])).
52.70/52.91	tff('132', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xa1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('demod', [status(thm)], ['131', '106'])).
52.70/52.91	tff('133', plain, (sk_R(w, z, z) | sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['132'])).
52.70/52.91	tff('134', plain, (sk_Xa1(sk_R) = c0 | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('clc', [status(thm)], ['133', '128'])).
52.70/52.91	tff('135', plain,
52.70/52.91	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)),
52.70/52.91	    inference('sup-', [status(thm)], ['134', '11'])).
52.70/52.91	tff('136', plain,
52.70/52.91	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('sup-', [status(thm)], ['81', '135'])).
52.70/52.91	tff('137', plain,
52.70/52.91	    ![X2 : a, X3 : a, X4 : a]: (sk_R(X2, X3, X4) | X3 != X4 | X2 != c0),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('138', plain, ![X4 : a]: sk_R(c0, X4, X4),
52.70/52.91	    inference('simplify', [status(thm)], ['137'])).
52.70/52.91	tff('139', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xb1(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('demod', [status(thm)], ['136', '138'])).
52.70/52.91	tff('140', plain,
52.70/52.91	    (sk_R(w, z, z) | sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0 | sk_Xb1(sk_R) = c0),
52.70/52.91	    inference('simplify', [status(thm)], ['139'])).
52.70/52.91	tff('141', plain, (sk_Xb1(sk_R) = c0 | sk_Xa(sk_R) = c0 | sk_Xb(sk_R) = c0),
52.70/52.91	    inference('clc', [status(thm)], ['140', '79'])).
52.70/52.91	tff('142', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | sk_Xb1(X0) = cP(sk_Xy11(X0), sk_Xy21(X0))
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('143', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o]:
52.70/52.91	      (X0(w, z, z)
52.70/52.91	       | sk_Xa1(X0) = cP(sk_Xx11(X0), sk_Xx21(X0))
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)),
52.70/52.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.91	tff('144', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
52.70/52.91	      (sk_R(sk_Xa1(X0), cP(X4, X3), cP(X2, X1))
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | X0(w, z, z)
52.70/52.91	       | ~ sk_R(sk_Xx11(X0), X4, X2)
52.70/52.91	       | ~ sk_R(sk_Xx21(X0), X3, X1)),
52.70/52.91	    inference('sup+', [status(thm)], ['143', '5'])).
52.70/52.91	tff('145', plain,
52.70/52.91	    ![X0 : a, X1 : a, X2 : a, X3 : a]:
52.70/52.91	      (sk_R(c0, cP(X3, X2), cP(X1, X0))
52.70/52.91	       | sk_Xa(sk_R) = c0
52.70/52.91	       | ~ sk_R(sk_Xx21(sk_R), X2, X0)
52.70/52.91	       | ~ sk_R(sk_Xx11(sk_R), X3, X1)
52.70/52.91	       | sk_R(w, z, z)
52.70/52.91	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.91	    inference('sup+', [status(thm)], ['134', '144'])).
52.70/52.91	tff('146', plain,
52.70/52.91	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a]:
52.70/52.91	      (sk_R(c0, sk_Xb1(X0), cP(X2, X1))
52.70/52.91	       | sk_Xb1(X0) = sk_Xc1(X0)
52.70/52.91	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.91	       | X0(w, z, z)
52.70/52.91	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	       | sk_R(w, z, z)
52.70/52.91	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(X0), X2)
52.70/52.91	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(X0), X1)
52.70/52.91	       | sk_Xa(sk_R) = c0),
52.70/52.91	    inference('sup+', [status(thm)], ['142', '145'])).
52.70/52.91	tff('147', plain,
52.70/52.91	    ![X0 : a, X1 : a]:
52.70/52.91	      (sk_R(c0, c0, cP(X1, X0))
52.70/52.91	       | sk_Xb(sk_R) = c0
52.70/52.91	       | sk_Xa(sk_R) = c0
52.70/52.91	       | sk_Xa(sk_R) = c0
52.70/52.91	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.91	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), X1)
52.70/52.91	       | sk_R(w, z, z)
52.70/52.91	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	       | sk_R(w, z, z)
52.70/52.91	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.91	    inference('sup+', [status(thm)], ['141', '146'])).
52.70/52.91	tff('148', plain,
52.70/52.91	    ![X0 : a, X1 : a]:
52.70/52.91	      (sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	       | sk_R(w, z, z)
52.70/52.91	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), X1)
52.70/52.91	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.91	       | sk_Xa(sk_R) = c0
52.70/52.91	       | sk_Xb(sk_R) = c0
52.70/52.91	       | sk_R(c0, c0, cP(X1, X0))),
52.70/52.91	    inference('simplify', [status(thm)], ['147'])).
52.70/52.91	tff('149', plain,
52.70/52.91	    ![X0 : a]:
52.70/52.91	      (~ $true
52.70/52.91	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	       | sk_R(w, z, z)
52.70/52.91	       | sk_R(c0, c0, cP(sk_Xz11(sk_R), X0))
52.70/52.91	       | sk_Xb(sk_R) = c0
52.70/52.91	       | sk_Xa(sk_R) = c0
52.70/52.91	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.91	       | sk_R(w, z, z)
52.70/52.91	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.91	    inference('sup-', [status(thm)], ['52', '148'])).
52.70/52.91	tff('150', plain,
52.70/52.91	    ![X0 : a]:
52.70/52.91	      (~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.91	       | sk_Xa(sk_R) = c0
52.70/52.91	       | sk_Xb(sk_R) = c0
52.70/52.91	       | sk_R(c0, c0, cP(sk_Xz11(sk_R), X0))
52.70/52.91	       | sk_R(w, z, z)
52.70/52.91	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.91	    inference('simplify', [status(thm)], ['149'])).
52.70/52.91	tff('151', plain,
52.70/52.91	    (sk_R(c0, c0, sk_Xc1(sk_R))
52.70/52.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), sk_Xz21(sk_R))),
52.70/52.91	    inference('sup+', [status(thm)], ['51', '150'])).
52.70/52.91	tff('152', plain,
52.70/52.91	    (~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), sk_Xz21(sk_R))
52.70/52.91	     | sk_Xa(sk_R) = c0
52.70/52.91	     | sk_Xb(sk_R) = c0
52.70/52.91	     | sk_R(w, z, z)
52.70/52.91	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.91	     | sk_R(c0, c0, sk_Xc1(sk_R))),
52.70/52.91	    inference('simplify', [status(thm)], ['151'])).
52.70/52.91	tff('153', plain,
52.70/52.91	    (~ $true
52.70/52.91	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_R(c0, c0, sk_Xc1(sk_R))
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['65', '152'])).
52.70/52.92	tff('154', plain,
52.70/52.92	    (sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_R(c0, c0, sk_Xc1(sk_R))
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['153'])).
52.70/52.92	tff('155', plain,
52.70/52.92	    (~ sk_R(c0, c0, sk_Xc1(sk_R))
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['141', '135'])).
52.70/52.92	tff('156', plain,
52.70/52.92	    (sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | ~ sk_R(c0, c0, sk_Xc1(sk_R))),
52.70/52.92	    inference('simplify', [status(thm)], ['155'])).
52.70/52.92	tff('157', plain,
52.70/52.92	    (~ sk_R(c0, c0, sk_Xc1(sk_R)) | sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('clc', [status(thm)], ['156', '79'])).
52.70/52.92	tff('158', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['154', '157'])).
52.70/52.92	tff('159', plain,
52.70/52.92	    (sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['158'])).
52.70/52.92	tff('160', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['159', '79'])).
52.70/52.92	tff('161', plain,
52.70/52.92	    (sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['160'])).
52.70/52.92	tff('162', plain,
52.70/52.92	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['161', '135'])).
52.70/52.92	tff('163', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['162', '138'])).
52.70/52.92	tff('164', plain,
52.70/52.92	    (sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['163'])).
52.70/52.92	tff('165', plain,
52.70/52.92	    (sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('clc', [status(thm)], ['164', '79'])).
52.70/52.92	tff('166', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['141', '11'])).
52.70/52.92	tff('167', plain,
52.70/52.92	    (sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | ~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))),
52.70/52.92	    inference('clc', [status(thm)], ['166', '79'])).
52.70/52.92	tff('168', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['165', '167'])).
52.70/52.92	tff('169', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['168', '106'])).
52.70/52.92	tff('170', plain, (sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['169'])).
52.70/52.92	tff('171', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('sup-', [status(thm)], ['64', '95'])).
52.70/52.92	tff('172', plain,
52.70/52.92	    (sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['171'])).
52.70/52.92	tff('173', plain,
52.70/52.92	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['172', '135'])).
52.70/52.92	tff('174', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['173', '138'])).
52.70/52.92	tff('175', plain,
52.70/52.92	    (sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['174'])).
52.70/52.92	tff('176', plain,
52.70/52.92	    (sk_Xb1(sk_R) = c0 | sk_Xa(sk_R) = c0 | sk_Xa(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('clc', [status(thm)], ['175', '95'])).
52.70/52.92	tff('177', plain,
52.70/52.92	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xa(sk_R))
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_R(x, y, y)),
52.70/52.92	    inference('sup-', [status(thm)], ['176', '39'])).
52.70/52.92	tff('178', plain,
52.70/52.92	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xa(sk_R))
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['170', '177'])).
52.70/52.92	tff('179', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['178', '106'])).
52.70/52.92	tff('180', plain, (sk_Xb1(sk_R) = c0 | sk_R(x, y, y) | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['179'])).
52.70/52.92	tff('181', plain,
52.70/52.92	    (~ $true | sk_Xa(sk_R) = c0 | sk_Xb1(sk_R) = c0 | ~ sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['180', '45'])).
52.70/52.92	tff('182', plain, (~ sk_R(w, z, z) | sk_Xb1(sk_R) = c0 | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['181'])).
52.70/52.92	tff('183', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['64', '182'])).
52.70/52.92	tff('184', plain,
52.70/52.92	    (sk_Xa(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['183'])).
52.70/52.92	tff('185', plain,
52.70/52.92	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['184', '135'])).
52.70/52.92	tff('186', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['185', '138'])).
52.70/52.92	tff('187', plain, (sk_R(w, z, z) | sk_Xa(sk_R) = c0 | sk_Xb1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['186'])).
52.70/52.92	tff('188', plain, (sk_Xb1(sk_R) = c0 | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('clc', [status(thm)], ['187', '182'])).
52.70/52.92	tff('189', plain,
52.70/52.92	    ![X0 : a, X1 : a]:
52.70/52.92	      (sk_R(c0, c0, cP(X1, X0))
52.70/52.92	       | sk_Xa(sk_R) = c0
52.70/52.92	       | sk_Xa(sk_R) = c0
52.70/52.92	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.92	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), X1)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('sup+', [status(thm)], ['188', '146'])).
52.70/52.92	tff('190', plain,
52.70/52.92	    ![X0 : a, X1 : a]:
52.70/52.92	      (sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), X1)
52.70/52.92	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.92	       | sk_Xa(sk_R) = c0
52.70/52.92	       | sk_R(c0, c0, cP(X1, X0))),
52.70/52.92	    inference('simplify', [status(thm)], ['189'])).
52.70/52.92	tff('191', plain,
52.70/52.92	    ![X0 : a]:
52.70/52.92	      (~ $true
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | sk_R(c0, c0, cP(sk_Xz11(sk_R), X0))
52.70/52.92	       | sk_Xa(sk_R) = c0
52.70/52.92	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('sup-', [status(thm)], ['52', '190'])).
52.70/52.92	tff('192', plain,
52.70/52.92	    ![X0 : a]:
52.70/52.92	      (~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.92	       | sk_Xa(sk_R) = c0
52.70/52.92	       | sk_R(c0, c0, cP(sk_Xz11(sk_R), X0))
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['191'])).
52.70/52.92	tff('193', plain,
52.70/52.92	    (sk_R(c0, c0, sk_Xc1(sk_R))
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), sk_Xz21(sk_R))),
52.70/52.92	    inference('sup+', [status(thm)], ['51', '192'])).
52.70/52.92	tff('194', plain,
52.70/52.92	    (~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), sk_Xz21(sk_R))
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(c0, c0, sk_Xc1(sk_R))),
52.70/52.92	    inference('simplify', [status(thm)], ['193'])).
52.70/52.92	tff('195', plain,
52.70/52.92	    (sk_R(c0, c0, sk_Xc1(sk_R))
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('clc', [status(thm)], ['194', '65'])).
52.70/52.92	tff('196', plain,
52.70/52.92	    (~ sk_R(c0, c0, sk_Xc1(sk_R))
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['188', '135'])).
52.70/52.92	tff('197', plain,
52.70/52.92	    (sk_R(w, z, z) | sk_Xa(sk_R) = c0 | ~ sk_R(c0, c0, sk_Xc1(sk_R))),
52.70/52.92	    inference('simplify', [status(thm)], ['196'])).
52.70/52.92	tff('198', plain,
52.70/52.92	    (sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('clc', [status(thm)], ['195', '197'])).
52.70/52.92	tff('199', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('sup-', [status(thm)], ['198', '95'])).
52.70/52.92	tff('200', plain,
52.70/52.92	    (sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['199'])).
52.70/52.92	tff('201', plain,
52.70/52.92	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['200', '135'])).
52.70/52.92	tff('202', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['201', '138'])).
52.70/52.92	tff('203', plain,
52.70/52.92	    (sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['202'])).
52.70/52.92	tff('204', plain,
52.70/52.92	    (sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('clc', [status(thm)], ['203', '95'])).
52.70/52.92	tff('205', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['188', '11'])).
52.70/52.92	tff('206', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['204', '205'])).
52.70/52.92	tff('207', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['206', '106'])).
52.70/52.92	tff('208', plain,
52.70/52.92	    (sk_R(w, z, z) | sk_Xa(sk_R) = c0 | sk_Xa(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['207'])).
52.70/52.92	tff('209', plain, (sk_Xa(sk_R) = sk_Xc(sk_R) | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('clc', [status(thm)], ['208', '95'])).
52.70/52.92	tff('210', plain,
52.70/52.92	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R)) | sk_Xa(sk_R) = c0 | sk_R(x, y, y)),
52.70/52.92	    inference('sup-', [status(thm)], ['170', '39'])).
52.70/52.92	tff('211', plain,
52.70/52.92	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xa(sk_R))
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['209', '210'])).
52.70/52.92	tff('212', plain,
52.70/52.92	    (~ $true | sk_Xa(sk_R) = c0 | sk_R(x, y, y) | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['211', '106'])).
52.70/52.92	tff('213', plain, (sk_R(x, y, y) | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['212'])).
52.70/52.92	tff('214', plain, (~ $true | sk_Xa(sk_R) = c0 | ~ sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['213', '45'])).
52.70/52.92	tff('215', plain, (~ sk_R(w, z, z) | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['214'])).
52.70/52.92	tff('216', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['198', '215'])).
52.70/52.92	tff('217', plain,
52.70/52.92	    (sk_Xa(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['216'])).
52.70/52.92	tff('218', plain,
52.70/52.92	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['217', '135'])).
52.70/52.92	tff('219', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['218', '138'])).
52.70/52.92	tff('220', plain,
52.70/52.92	    (sk_R(w, z, z) | sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['219'])).
52.70/52.92	tff('221', plain, (sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('clc', [status(thm)], ['220', '215'])).
52.70/52.92	tff('222', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
52.70/52.92	     | sk_Xa(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['221', '205'])).
52.70/52.92	tff('223', plain,
52.70/52.92	    (~ $true | sk_Xa(sk_R) = c0 | sk_R(w, z, z) | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['222', '106'])).
52.70/52.92	tff('224', plain, (sk_R(w, z, z) | sk_Xa(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['223'])).
52.70/52.92	tff('225', plain, sk_Xa(sk_R) = c0,
52.70/52.92	    inference('clc', [status(thm)], ['224', '215'])).
52.70/52.92	tff('226', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_R(x, y, y)),
52.70/52.92	    inference('demod', [status(thm)], ['50', '225', '138'])).
52.70/52.92	tff('227', plain,
52.70/52.92	    (sk_R(x, y, y) | sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['226'])).
52.70/52.92	tff('228', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | ~ sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['227', '45'])).
52.70/52.92	tff('229', plain,
52.70/52.92	    (~ sk_R(w, z, z)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['228'])).
52.70/52.92	tff('230', plain, (sk_Xa1(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('clc', [status(thm)], ['229', '29'])).
52.70/52.92	tff('231', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['14', '47'])).
52.70/52.92	tff('232', plain,
52.70/52.92	    (sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['231'])).
52.70/52.92	tff('233', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xa1(sk_R))
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['232', '11'])).
52.70/52.92	tff('234', plain,
52.70/52.92	    (sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | ~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xa1(sk_R))),
52.70/52.92	    inference('clc', [status(thm)], ['233', '47'])).
52.70/52.92	tff('235', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['230', '234'])).
52.70/52.92	tff('236', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['235', '106'])).
52.70/52.92	tff('237', plain,
52.70/52.92	    (sk_Xb(sk_R) = sk_Xc(sk_R) | sk_Xa1(sk_R) = c0 | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['236'])).
52.70/52.92	tff('238', plain,
52.70/52.92	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_R(x, y, y)),
52.70/52.92	    inference('sup-', [status(thm)], ['237', '39'])).
52.70/52.92	tff('239', plain,
52.70/52.92	    (~ $true | sk_Xb(sk_R) = c0 | sk_Xa1(sk_R) = c0 | sk_R(x, y, y)),
52.70/52.92	    inference('demod', [status(thm)], ['238', '225', '138'])).
52.70/52.92	tff('240', plain, (sk_R(x, y, y) | sk_Xa1(sk_R) = c0 | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['239'])).
52.70/52.92	tff('241', plain,
52.70/52.92	    (~ $true | sk_Xb(sk_R) = c0 | sk_Xa1(sk_R) = c0 | ~ sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['240', '45'])).
52.70/52.92	tff('242', plain, (~ sk_R(w, z, z) | sk_Xa1(sk_R) = c0 | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['241'])).
52.70/52.92	tff('243', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['14', '242'])).
52.70/52.92	tff('244', plain,
52.70/52.92	    (sk_Xb(sk_R) = c0 | sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['243'])).
52.70/52.92	tff('245', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['230', '11'])).
52.70/52.92	tff('246', plain,
52.70/52.92	    (sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | ~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))),
52.70/52.92	    inference('clc', [status(thm)], ['245', '242'])).
52.70/52.92	tff('247', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['244', '246'])).
52.70/52.92	tff('248', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['247', '106'])).
52.70/52.92	tff('249', plain, (sk_Xb(sk_R) = c0 | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['248'])).
52.70/52.92	tff('250', plain,
52.70/52.92	    ![X1 : (a * a * a) > $o]:
52.70/52.92	      (X1(x, y, y)
52.70/52.92	       | sk_Xb(X1) = cP(sk_Xy1(X1), sk_Xy2(X1))
52.70/52.92	       | sk_Xa(X1) = sk_Xc(X1)
52.70/52.92	       | sk_Xb(X1) = sk_Xc(X1)),
52.70/52.92	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.92	tff('251', plain,
52.70/52.92	    ![X1 : (a * a * a) > $o]:
52.70/52.92	      (X1(x, y, y)
52.70/52.92	       | sk_Xa(X1) = cP(sk_Xx1(X1), sk_Xx2(X1))
52.70/52.92	       | sk_Xa(X1) = sk_Xc(X1)
52.70/52.92	       | sk_Xb(X1) = sk_Xc(X1)),
52.70/52.92	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.70/52.92	tff('252', plain,
52.70/52.92	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
52.70/52.92	      (sk_R(sk_Xa(X0), cP(X4, X3), cP(X2, X1))
52.70/52.92	       | sk_Xb(X0) = sk_Xc(X0)
52.70/52.92	       | sk_Xa(X0) = sk_Xc(X0)
52.70/52.92	       | X0(x, y, y)
52.70/52.92	       | ~ sk_R(sk_Xx1(X0), X4, X2)
52.70/52.92	       | ~ sk_R(sk_Xx2(X0), X3, X1)),
52.70/52.92	    inference('sup+', [status(thm)], ['251', '5'])).
52.70/52.92	tff('253', plain,
52.70/52.92	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : (a * a * a) > $o]:
52.70/52.92	      (sk_R(sk_Xa(X3), sk_Xb(X0), cP(X2, X1))
52.70/52.92	       | sk_Xb(X0) = sk_Xc(X0)
52.70/52.92	       | sk_Xa(X0) = sk_Xc(X0)
52.70/52.92	       | X0(x, y, y)
52.70/52.92	       | ~ sk_R(sk_Xx2(X3), sk_Xy2(X0), X1)
52.70/52.92	       | ~ sk_R(sk_Xx1(X3), sk_Xy1(X0), X2)
52.70/52.92	       | X3(x, y, y)
52.70/52.92	       | sk_Xa(X3) = sk_Xc(X3)
52.70/52.92	       | sk_Xb(X3) = sk_Xc(X3)),
52.70/52.92	    inference('sup+', [status(thm)], ['250', '252'])).
52.70/52.92	tff('254', plain,
52.70/52.92	    ![X0 : a, X1 : a, X2 : (a * a * a) > $o]:
52.70/52.92	      (sk_R(c0, sk_Xb(X2), cP(X1, X0))
52.70/52.92	       | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(X2), X1)
52.70/52.92	       | ~ sk_R(sk_Xx2(sk_R), sk_Xy2(X2), X0)
52.70/52.92	       | X2(x, y, y)
52.70/52.92	       | sk_Xa(X2) = sk_Xc(X2)
52.70/52.92	       | sk_Xb(X2) = sk_Xc(X2)),
52.70/52.92	    inference('sup+', [status(thm)], ['225', '253'])).
52.70/52.92	tff('255', plain,
52.70/52.92	    ![X0 : a, X1 : a, X2 : (a * a * a) > $o]:
52.70/52.92	      (sk_R(c0, sk_Xb(X2), cP(X1, X0))
52.70/52.92	       | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(X2), X1)
52.70/52.92	       | ~ sk_R(sk_Xx2(sk_R), sk_Xy2(X2), X0)
52.70/52.92	       | X2(x, y, y)
52.70/52.92	       | sk_Xa(X2) = sk_Xc(X2)
52.70/52.92	       | sk_Xb(X2) = sk_Xc(X2)),
52.70/52.92	    inference('demod', [status(thm)], ['254', '225'])).
52.70/52.92	tff('256', plain,
52.70/52.92	    ![X0 : a, X1 : a]:
52.70/52.92	      (sk_R(c0, c0, cP(X1, X0))
52.70/52.92	       | sk_Xa1(sk_R) = c0
52.70/52.92	       | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | ~ sk_R(sk_Xx2(sk_R), sk_Xy2(sk_R), X0)
52.70/52.92	       | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), X1)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_Xb(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('sup+', [status(thm)], ['249', '255'])).
52.70/52.92	tff('257', plain,
52.70/52.92	    ![X0 : a, X1 : a]:
52.70/52.92	      (sk_R(c0, c0, cP(X1, X0))
52.70/52.92	       | sk_Xa1(sk_R) = c0
52.70/52.92	       | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | ~ sk_R(sk_Xx2(sk_R), sk_Xy2(sk_R), X0)
52.70/52.92	       | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), X1)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_Xb(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('demod', [status(thm)], ['256', '225'])).
52.70/52.92	tff('258', plain,
52.70/52.92	    ![X0 : a, X1 : a]:
52.70/52.92	      (~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), X1)
52.70/52.92	       | ~ sk_R(sk_Xx2(sk_R), sk_Xy2(sk_R), X0)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | sk_Xa1(sk_R) = c0
52.70/52.92	       | sk_R(c0, c0, cP(X1, X0))),
52.70/52.92	    inference('simplify', [status(thm)], ['257'])).
52.70/52.92	tff('259', plain,
52.70/52.92	    ![X0 : a]:
52.70/52.92	      (~ $true
52.70/52.92	       | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | sk_R(c0, c0, cP(sk_Xz1(sk_R), X0))
52.70/52.92	       | sk_Xa1(sk_R) = c0
52.70/52.92	       | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | ~ sk_R(sk_Xx2(sk_R), sk_Xy2(sk_R), X0)),
52.70/52.92	    inference('sup-', [status(thm)], ['17', '258'])).
52.70/52.92	tff('260', plain,
52.70/52.92	    ![X0 : a]:
52.70/52.92	      (~ $true
52.70/52.92	       | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | sk_R(c0, c0, cP(sk_Xz1(sk_R), X0))
52.70/52.92	       | sk_Xa1(sk_R) = c0
52.70/52.92	       | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | ~ sk_R(sk_Xx2(sk_R), sk_Xy2(sk_R), X0)),
52.70/52.92	    inference('demod', [status(thm)], ['259', '225'])).
52.70/52.92	tff('261', plain,
52.70/52.92	    ![X0 : a]:
52.70/52.92	      (~ sk_R(sk_Xx2(sk_R), sk_Xy2(sk_R), X0)
52.70/52.92	       | sk_Xa1(sk_R) = c0
52.70/52.92	       | sk_R(c0, c0, cP(sk_Xz1(sk_R), X0))
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_Xb(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['260'])).
52.70/52.92	tff('262', plain,
52.70/52.92	    (sk_R(c0, c0, sk_Xc(sk_R))
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | ~ sk_R(sk_Xx2(sk_R), sk_Xy2(sk_R), sk_Xz2(sk_R))),
52.70/52.92	    inference('sup+', [status(thm)], ['16', '261'])).
52.70/52.92	tff('263', plain,
52.70/52.92	    (sk_R(c0, c0, sk_Xc(sk_R))
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | ~ sk_R(sk_Xx2(sk_R), sk_Xy2(sk_R), sk_Xz2(sk_R))),
52.70/52.92	    inference('demod', [status(thm)], ['262', '225'])).
52.70/52.92	tff('264', plain,
52.70/52.92	    (~ sk_R(sk_Xx2(sk_R), sk_Xy2(sk_R), sk_Xz2(sk_R))
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_R(c0, c0, sk_Xc(sk_R))),
52.70/52.92	    inference('simplify', [status(thm)], ['263'])).
52.70/52.92	tff('265', plain, (~ sk_R(c0, sk_Xb(sk_R), sk_Xc(sk_R)) | sk_R(x, y, y)),
52.70/52.92	    inference('sup-', [status(thm)], ['225', '39'])).
52.70/52.92	tff('266', plain,
52.70/52.92	    (~ sk_R(c0, c0, sk_Xc(sk_R)) | sk_Xa1(sk_R) = c0 | sk_R(x, y, y)),
52.70/52.92	    inference('sup-', [status(thm)], ['249', '265'])).
52.70/52.92	tff('267', plain,
52.70/52.92	    (sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | ~ sk_R(sk_Xx2(sk_R), sk_Xy2(sk_R), sk_Xz2(sk_R))),
52.70/52.92	    inference('clc', [status(thm)], ['264', '266'])).
52.70/52.92	tff('268', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('sup-', [status(thm)], ['15', '267'])).
52.70/52.92	tff('269', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('demod', [status(thm)], ['268', '225'])).
52.70/52.92	tff('270', plain,
52.70/52.92	    (sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['269'])).
52.70/52.92	tff('271', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | ~ sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['270', '45'])).
52.70/52.92	tff('272', plain,
52.70/52.92	    (~ sk_R(w, z, z)
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['271'])).
52.70/52.92	tff('273', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['14', '272'])).
52.70/52.92	tff('274', plain,
52.70/52.92	    (c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['273'])).
52.70/52.92	tff('275', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['29', '272'])).
52.70/52.92	tff('276', plain,
52.70/52.92	    (c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['275'])).
52.70/52.92	tff('277', plain,
52.70/52.92	    (sk_Xb(sk_R) != c0
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | c0 = sk_Xc(sk_R)),
52.70/52.92	    inference('eq_fact', [status(thm)], ['276'])).
52.70/52.92	tff('278', plain,
52.70/52.92	    (~ sk_R(c0, c0, c0)
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) != c0
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['277', '266'])).
52.70/52.92	tff('279', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) != c0
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['278', '138'])).
52.70/52.92	tff('280', plain,
52.70/52.92	    (sk_R(x, y, y)
52.70/52.92	     | sk_Xb(sk_R) != c0
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['279'])).
52.70/52.92	tff('281', plain, (sk_Xb1(sk_R) = c0 | sk_Xa1(sk_R) = c0 | sk_R(x, y, y)),
52.70/52.92	    inference('clc', [status(thm)], ['280', '249'])).
52.70/52.92	tff('282', plain,
52.70/52.92	    (~ $true | sk_Xa1(sk_R) = c0 | sk_Xb1(sk_R) = c0 | ~ sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['281', '45'])).
52.70/52.92	tff('283', plain, (~ sk_R(w, z, z) | sk_Xb1(sk_R) = c0 | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['282'])).
52.70/52.92	tff('284', plain, (sk_Xa1(sk_R) = c0 | sk_Xb1(sk_R) = c0),
52.70/52.92	    inference('clc', [status(thm)], ['283', '29'])).
52.70/52.92	tff('285', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['284', '11'])).
52.70/52.92	tff('286', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['274', '285'])).
52.70/52.92	tff('287', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['286', '106'])).
52.70/52.92	tff('288', plain,
52.70/52.92	    (sk_R(w, z, z)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['287'])).
52.70/52.92	tff('289', plain,
52.70/52.92	    (sk_Xa1(sk_R) = c0 | sk_Xb(sk_R) = sk_Xc(sk_R) | c0 = sk_Xc(sk_R)),
52.70/52.92	    inference('clc', [status(thm)], ['288', '272'])).
52.70/52.92	tff('290', plain, (sk_Xb(sk_R) != c0 | c0 = sk_Xc(sk_R) | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('eq_fact', [status(thm)], ['289'])).
52.70/52.92	tff('291', plain, (sk_Xa1(sk_R) = c0 | c0 = sk_Xc(sk_R)),
52.70/52.92	    inference('clc', [status(thm)], ['290', '249'])).
52.70/52.92	tff('292', plain,
52.70/52.92	    (~ sk_R(c0, c0, c0)
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['291', '266'])).
52.70/52.92	tff('293', plain,
52.70/52.92	    (~ $true | sk_Xa1(sk_R) = c0 | sk_R(x, y, y) | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['292', '138'])).
52.70/52.92	tff('294', plain, (sk_R(x, y, y) | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['293'])).
52.70/52.92	tff('295', plain, (~ $true | sk_Xa1(sk_R) = c0 | ~ sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['294', '45'])).
52.70/52.92	tff('296', plain, (~ sk_R(w, z, z) | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['295'])).
52.70/52.92	tff('297', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['14', '296'])).
52.70/52.92	tff('298', plain, (sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['297'])).
52.70/52.92	tff('299', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
52.70/52.92	     | sk_Xa1(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['298', '285'])).
52.70/52.92	tff('300', plain,
52.70/52.92	    (~ $true | sk_Xa1(sk_R) = c0 | sk_R(w, z, z) | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['299', '106'])).
52.70/52.92	tff('301', plain, (sk_R(w, z, z) | sk_Xa1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['300'])).
52.70/52.92	tff('302', plain, sk_Xa1(sk_R) = c0,
52.70/52.92	    inference('clc', [status(thm)], ['301', '296'])).
52.70/52.92	tff('303', plain, (~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R)) | sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['302', '11'])).
52.70/52.92	tff('304', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['64', '47'])).
52.70/52.92	tff('305', plain,
52.70/52.92	    (sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['304'])).
52.70/52.92	tff('306', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['305', '11'])).
52.70/52.92	tff('307', plain,
52.70/52.92	    (sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | ~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))),
52.70/52.92	    inference('clc', [status(thm)], ['306', '47'])).
52.70/52.92	tff('308', plain,
52.70/52.92	    (sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | ~ $true),
52.70/52.92	    inference('demod', [status(thm)], ['307', '302', '138'])).
52.70/52.92	tff('309', plain,
52.70/52.92	    (sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = sk_Xc(sk_R) | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['308'])).
52.70/52.92	tff('310', plain,
52.70/52.92	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_R(x, y, y)),
52.70/52.92	    inference('sup-', [status(thm)], ['309', '39'])).
52.70/52.92	tff('311', plain,
52.70/52.92	    (~ $true | sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_R(x, y, y)),
52.70/52.92	    inference('demod', [status(thm)], ['310', '225', '138'])).
52.70/52.92	tff('312', plain, (sk_R(x, y, y) | sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['311'])).
52.70/52.92	tff('313', plain,
52.70/52.92	    (~ $true | sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = c0 | ~ sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['312', '45'])).
52.70/52.92	tff('314', plain, (~ sk_R(w, z, z) | sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['313'])).
52.70/52.92	tff('315', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['64', '314'])).
52.70/52.92	tff('316', plain,
52.70/52.92	    (sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['315'])).
52.70/52.92	tff('317', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['316', '11'])).
52.70/52.92	tff('318', plain,
52.70/52.92	    (~ $true | sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = c0 | sk_R(w, z, z)),
52.70/52.92	    inference('demod', [status(thm)], ['317', '302', '138'])).
52.70/52.92	tff('319', plain, (sk_R(w, z, z) | sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['318'])).
52.70/52.92	tff('320', plain, (sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('clc', [status(thm)], ['319', '314'])).
52.70/52.92	tff('321', plain,
52.70/52.92	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : (a * a * a) > $o]:
52.70/52.92	      (sk_R(sk_Xa1(X3), sk_Xb1(X0), cP(X2, X1))
52.70/52.92	       | sk_Xb1(X0) = sk_Xc1(X0)
52.70/52.92	       | sk_Xa1(X0) = sk_Xc1(X0)
52.70/52.92	       | X0(w, z, z)
52.70/52.92	       | ~ sk_R(sk_Xx21(X3), sk_Xy21(X0), X1)
52.70/52.92	       | ~ sk_R(sk_Xx11(X3), sk_Xy11(X0), X2)
52.70/52.92	       | X3(w, z, z)
52.70/52.92	       | sk_Xa1(X3) = sk_Xc1(X3)
52.70/52.92	       | sk_Xb1(X3) = sk_Xc1(X3)),
52.70/52.92	    inference('sup+', [status(thm)], ['142', '144'])).
52.70/52.92	tff('322', plain,
52.70/52.92	    ![X0 : a, X1 : a, X2 : (a * a * a) > $o]:
52.70/52.92	      (sk_R(c0, sk_Xb1(X2), cP(X1, X0))
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(X2), X1)
52.70/52.92	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(X2), X0)
52.70/52.92	       | X2(w, z, z)
52.70/52.92	       | sk_Xa1(X2) = sk_Xc1(X2)
52.70/52.92	       | sk_Xb1(X2) = sk_Xc1(X2)),
52.70/52.92	    inference('sup+', [status(thm)], ['302', '321'])).
52.70/52.92	tff('323', plain,
52.70/52.92	    ![X0 : a, X1 : a, X2 : (a * a * a) > $o]:
52.70/52.92	      (sk_R(c0, sk_Xb1(X2), cP(X1, X0))
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(X2), X1)
52.70/52.92	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(X2), X0)
52.70/52.92	       | X2(w, z, z)
52.70/52.92	       | sk_Xa1(X2) = sk_Xc1(X2)
52.70/52.92	       | sk_Xb1(X2) = sk_Xc1(X2)),
52.70/52.92	    inference('demod', [status(thm)], ['322', '302'])).
52.70/52.92	tff('324', plain,
52.70/52.92	    ![X0 : a, X1 : a]:
52.70/52.92	      (sk_R(c0, c0, cP(X1, X0))
52.70/52.92	       | sk_Xb(sk_R) = c0
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.92	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), X1)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('sup+', [status(thm)], ['320', '323'])).
52.70/52.92	tff('325', plain,
52.70/52.92	    ![X0 : a, X1 : a]:
52.70/52.92	      (sk_R(c0, c0, cP(X1, X0))
52.70/52.92	       | sk_Xb(sk_R) = c0
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.92	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), X1)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('demod', [status(thm)], ['324', '302'])).
52.70/52.92	tff('326', plain,
52.70/52.92	    ![X0 : a, X1 : a]:
52.70/52.92	      (~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), X1)
52.70/52.92	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xb(sk_R) = c0
52.70/52.92	       | sk_R(c0, c0, cP(X1, X0))),
52.70/52.92	    inference('simplify', [status(thm)], ['325'])).
52.70/52.92	tff('327', plain,
52.70/52.92	    ![X0 : a]:
52.70/52.92	      (~ $true
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | sk_R(c0, c0, cP(sk_Xz11(sk_R), X0))
52.70/52.92	       | sk_Xb(sk_R) = c0
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)),
52.70/52.92	    inference('sup-', [status(thm)], ['52', '326'])).
52.70/52.92	tff('328', plain,
52.70/52.92	    ![X0 : a]:
52.70/52.92	      (~ $true
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | sk_R(c0, c0, cP(sk_Xz11(sk_R), X0))
52.70/52.92	       | sk_Xb(sk_R) = c0
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)),
52.70/52.92	    inference('demod', [status(thm)], ['327', '302'])).
52.70/52.92	tff('329', plain,
52.70/52.92	    ![X0 : a]:
52.70/52.92	      (~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.92	       | sk_Xb(sk_R) = c0
52.70/52.92	       | sk_R(c0, c0, cP(sk_Xz11(sk_R), X0))
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['328'])).
52.70/52.92	tff('330', plain,
52.70/52.92	    (sk_R(c0, c0, sk_Xc1(sk_R))
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), sk_Xz21(sk_R))),
52.70/52.92	    inference('sup+', [status(thm)], ['51', '329'])).
52.70/52.92	tff('331', plain,
52.70/52.92	    (sk_R(c0, c0, sk_Xc1(sk_R))
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), sk_Xz21(sk_R))),
52.70/52.92	    inference('demod', [status(thm)], ['330', '302'])).
52.70/52.92	tff('332', plain,
52.70/52.92	    (~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), sk_Xz21(sk_R))
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(c0, c0, sk_Xc1(sk_R))),
52.70/52.92	    inference('simplify', [status(thm)], ['331'])).
52.70/52.92	tff('333', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['320', '11'])).
52.70/52.92	tff('334', plain,
52.70/52.92	    (~ sk_R(c0, c0, sk_Xc1(sk_R)) | sk_Xb(sk_R) = c0 | sk_R(w, z, z)),
52.70/52.92	    inference('demod', [status(thm)], ['333', '302'])).
52.70/52.92	tff('335', plain,
52.70/52.92	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), sk_Xz21(sk_R))),
52.70/52.92	    inference('clc', [status(thm)], ['332', '334'])).
52.70/52.92	tff('336', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('sup-', [status(thm)], ['65', '335'])).
52.70/52.92	tff('337', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('demod', [status(thm)], ['336', '302'])).
52.70/52.92	tff('338', plain,
52.70/52.92	    (sk_Xb(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['337'])).
52.70/52.92	tff('339', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['338', '47'])).
52.70/52.92	tff('340', plain,
52.70/52.92	    (sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['339'])).
52.70/52.92	tff('341', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['340', '11'])).
52.70/52.92	tff('342', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_R(w, z, z)),
52.70/52.92	    inference('demod', [status(thm)], ['341', '302', '138'])).
52.70/52.92	tff('343', plain,
52.70/52.92	    (sk_R(w, z, z)
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | c0 = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['342'])).
52.70/52.92	tff('344', plain,
52.70/52.92	    (c0 = sk_Xc1(sk_R) | sk_Xb(sk_R) = c0 | sk_Xb(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('clc', [status(thm)], ['343', '47'])).
52.70/52.92	tff('345', plain,
52.70/52.92	    (~ sk_R(c0, c0, c0)
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['344', '334'])).
52.70/52.92	tff('346', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['345', '138'])).
52.70/52.92	tff('347', plain,
52.70/52.92	    (sk_R(w, z, z) | sk_Xb(sk_R) = c0 | sk_Xb(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['346'])).
52.70/52.92	tff('348', plain, (sk_Xb(sk_R) = sk_Xc(sk_R) | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('clc', [status(thm)], ['347', '47'])).
52.70/52.92	tff('349', plain,
52.70/52.92	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_R(x, y, y)),
52.70/52.92	    inference('sup-', [status(thm)], ['348', '39'])).
52.70/52.92	tff('350', plain, (~ $true | sk_Xb(sk_R) = c0 | sk_R(x, y, y)),
52.70/52.92	    inference('demod', [status(thm)], ['349', '225', '138'])).
52.70/52.92	tff('351', plain, (sk_R(x, y, y) | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['350'])).
52.70/52.92	tff('352', plain, (~ $true | sk_Xb(sk_R) = c0 | ~ sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['351', '45'])).
52.70/52.92	tff('353', plain, (~ sk_R(w, z, z) | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['352'])).
52.70/52.92	tff('354', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb(sk_R) = c0
52.70/52.92	     | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['338', '353'])).
52.70/52.92	tff('355', plain,
52.70/52.92	    (sk_Xb(sk_R) = c0 | c0 = sk_Xc1(sk_R) | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['354'])).
52.70/52.92	tff('356', plain,
52.70/52.92	    (sk_Xb1(sk_R) != c0 | c0 = sk_Xc1(sk_R) | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('eq_fact', [status(thm)], ['355'])).
52.70/52.92	tff('357', plain, (sk_Xb(sk_R) = c0 | c0 = sk_Xc1(sk_R)),
52.70/52.92	    inference('clc', [status(thm)], ['356', '320'])).
52.70/52.92	tff('358', plain,
52.70/52.92	    (~ sk_R(c0, c0, c0) | sk_Xb(sk_R) = c0 | sk_R(w, z, z) | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['357', '334'])).
52.70/52.92	tff('359', plain,
52.70/52.92	    (~ $true | sk_Xb(sk_R) = c0 | sk_R(w, z, z) | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('demod', [status(thm)], ['358', '138'])).
52.70/52.92	tff('360', plain, (sk_R(w, z, z) | sk_Xb(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['359'])).
52.70/52.92	tff('361', plain, sk_Xb(sk_R) = c0,
52.70/52.92	    inference('clc', [status(thm)], ['360', '353'])).
52.70/52.92	tff('362', plain,
52.70/52.92	    ![X0 : a, X1 : a, X2 : (a * a * a) > $o]:
52.70/52.92	      (sk_R(c0, sk_Xb(X2), cP(X1, X0))
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(X2), X1)
52.70/52.92	       | ~ sk_R(sk_Xx2(sk_R), sk_Xy2(X2), X0)
52.70/52.92	       | X2(x, y, y)
52.70/52.92	       | sk_Xa(X2) = sk_Xc(X2)
52.70/52.92	       | sk_Xb(X2) = sk_Xc(X2)),
52.70/52.92	    inference('demod', [status(thm)], ['255', '361'])).
52.70/52.92	tff('363', plain,
52.70/52.92	    ![X0 : a, X1 : a, X2 : (a * a * a) > $o]:
52.70/52.92	      (sk_Xb(X2) = sk_Xc(X2)
52.70/52.92	       | sk_Xa(X2) = sk_Xc(X2)
52.70/52.92	       | X2(x, y, y)
52.70/52.92	       | ~ sk_R(sk_Xx2(sk_R), sk_Xy2(X2), X0)
52.70/52.92	       | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(X2), X1)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_R(c0, sk_Xb(X2), cP(X1, X0))),
52.70/52.92	    inference('simplify', [status(thm)], ['362'])).
52.70/52.92	tff('364', plain,
52.70/52.92	    ![X0 : a, X1 : a]:
52.70/52.92	      (sk_R(c0, c0, cP(X1, X0))
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), X1)
52.70/52.92	       | ~ sk_R(sk_Xx2(sk_R), sk_Xy2(sk_R), X0)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | sk_Xb(sk_R) = sk_Xc(sk_R)),
52.70/52.92	    inference('sup+', [status(thm)], ['361', '363'])).
52.70/52.92	tff('365', plain,
52.70/52.92	    ![X0 : a, X1 : a]:
52.70/52.92	      (sk_R(c0, c0, cP(X1, X0))
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), X1)
52.70/52.92	       | ~ sk_R(sk_Xx2(sk_R), sk_Xy2(sk_R), X0)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | c0 = sk_Xc(sk_R)),
52.70/52.92	    inference('demod', [status(thm)], ['364', '225', '361'])).
52.70/52.92	tff('366', plain,
52.70/52.92	    ![X0 : a, X1 : a]:
52.70/52.92	      (~ sk_R(sk_Xx2(sk_R), sk_Xy2(sk_R), X0)
52.70/52.92	       | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), X1)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_R(c0, c0, cP(X1, X0))),
52.70/52.92	    inference('simplify', [status(thm)], ['365'])).
52.70/52.92	tff('367', plain,
52.70/52.92	    ![X0 : a]:
52.70/52.92	      (~ $true
52.70/52.92	       | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | sk_R(c0, c0, cP(X0, sk_Xz2(sk_R)))
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), X0)),
52.70/52.92	    inference('sup-', [status(thm)], ['15', '366'])).
52.70/52.92	tff('368', plain,
52.70/52.92	    ![X0 : a]:
52.70/52.92	      (~ $true
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | sk_R(c0, c0, cP(X0, sk_Xz2(sk_R)))
52.70/52.92	       | c0 = sk_Xc(sk_R)
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), X0)),
52.70/52.92	    inference('demod', [status(thm)], ['367', '361', '225'])).
52.70/52.92	tff('369', plain,
52.70/52.92	    ![X0 : a]:
52.70/52.92	      (~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), X0)
52.70/52.92	       | sk_R(c0, c0, cP(X0, sk_Xz2(sk_R)))
52.70/52.92	       | sk_R(x, y, y)
52.70/52.92	       | c0 = sk_Xc(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['368'])).
52.70/52.92	tff('370', plain,
52.70/52.92	    (sk_R(c0, c0, sk_Xc(sk_R))
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))),
52.70/52.92	    inference('sup+', [status(thm)], ['16', '369'])).
52.70/52.92	tff('371', plain,
52.70/52.92	    (sk_R(c0, c0, sk_Xc(sk_R))
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))),
52.70/52.92	    inference('demod', [status(thm)], ['370', '361', '225'])).
52.70/52.92	tff('372', plain,
52.70/52.92	    (~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(c0, c0, sk_Xc(sk_R))),
52.70/52.92	    inference('simplify', [status(thm)], ['371'])).
52.70/52.92	tff('373', plain, (~ sk_R(c0, c0, sk_Xc(sk_R)) | sk_R(x, y, y)),
52.70/52.92	    inference('demod', [status(thm)], ['265', '361'])).
52.70/52.92	tff('374', plain,
52.70/52.92	    (c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))),
52.70/52.92	    inference('clc', [status(thm)], ['372', '373'])).
52.70/52.92	tff('375', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_Xa(sk_R) = sk_Xc(sk_R)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | c0 = sk_Xc(sk_R)),
52.70/52.92	    inference('sup-', [status(thm)], ['17', '374'])).
52.70/52.92	tff('376', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | sk_R(x, y, y)
52.70/52.92	     | c0 = sk_Xc(sk_R)),
52.70/52.92	    inference('demod', [status(thm)], ['375', '361', '225'])).
52.70/52.92	tff('377', plain, (sk_R(x, y, y) | c0 = sk_Xc(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['376'])).
52.70/52.92	tff('378', plain, (~ $true | c0 = sk_Xc(sk_R) | ~ sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['377', '45'])).
52.70/52.92	tff('379', plain, (~ sk_R(w, z, z) | c0 = sk_Xc(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['378'])).
52.70/52.92	tff('380', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | c0 = sk_Xc(sk_R)),
52.70/52.92	    inference('sup-', [status(thm)], ['64', '379'])).
52.70/52.92	tff('381', plain,
52.70/52.92	    (c0 = sk_Xc(sk_R) | sk_Xb1(sk_R) = c0 | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['380'])).
52.70/52.92	tff('382', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['381', '11'])).
52.70/52.92	tff('383', plain,
52.70/52.92	    (~ $true | sk_Xb1(sk_R) = c0 | c0 = sk_Xc(sk_R) | sk_R(w, z, z)),
52.70/52.92	    inference('demod', [status(thm)], ['382', '302', '138'])).
52.70/52.92	tff('384', plain, (sk_R(w, z, z) | c0 = sk_Xc(sk_R) | sk_Xb1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['383'])).
52.70/52.92	tff('385', plain, (sk_Xb1(sk_R) = c0 | c0 = sk_Xc(sk_R)),
52.70/52.92	    inference('clc', [status(thm)], ['384', '379'])).
52.70/52.92	tff('386', plain,
52.70/52.92	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), c0) | sk_Xb1(sk_R) = c0 | sk_R(x, y, y)),
52.70/52.92	    inference('sup-', [status(thm)], ['385', '39'])).
52.70/52.92	tff('387', plain, (~ $true | sk_Xb1(sk_R) = c0 | sk_R(x, y, y)),
52.70/52.92	    inference('demod', [status(thm)], ['386', '225', '361', '138'])).
52.70/52.92	tff('388', plain, (sk_R(x, y, y) | sk_Xb1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['387'])).
52.70/52.92	tff('389', plain, (~ $true | sk_Xb1(sk_R) = c0 | ~ sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['388', '45'])).
52.70/52.92	tff('390', plain, (~ sk_R(w, z, z) | sk_Xb1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['389'])).
52.70/52.92	tff('391', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_Xb1(sk_R) = c0),
52.70/52.92	    inference('sup-', [status(thm)], ['64', '390'])).
52.70/52.92	tff('392', plain, (sk_Xb1(sk_R) = c0 | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['391'])).
52.70/52.92	tff('393', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
52.70/52.92	     | sk_Xb1(sk_R) = c0
52.70/52.92	     | sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['392', '11'])).
52.70/52.92	tff('394', plain, (~ $true | sk_Xb1(sk_R) = c0 | sk_R(w, z, z)),
52.70/52.92	    inference('demod', [status(thm)], ['393', '302', '138'])).
52.70/52.92	tff('395', plain, (sk_R(w, z, z) | sk_Xb1(sk_R) = c0),
52.70/52.92	    inference('simplify', [status(thm)], ['394'])).
52.70/52.92	tff('396', plain, sk_Xb1(sk_R) = c0,
52.70/52.92	    inference('clc', [status(thm)], ['395', '390'])).
52.70/52.92	tff('397', plain, (~ sk_R(c0, c0, sk_Xc1(sk_R)) | sk_R(w, z, z)),
52.70/52.92	    inference('demod', [status(thm)], ['303', '396'])).
52.70/52.92	tff('398', plain,
52.70/52.92	    ![X0 : a, X1 : a, X2 : (a * a * a) > $o]:
52.70/52.92	      (sk_R(c0, sk_Xb1(X2), cP(X1, X0))
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(X2), X1)
52.70/52.92	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(X2), X0)
52.70/52.92	       | X2(w, z, z)
52.70/52.92	       | sk_Xa1(X2) = sk_Xc1(X2)
52.70/52.92	       | sk_Xb1(X2) = sk_Xc1(X2)),
52.70/52.92	    inference('demod', [status(thm)], ['323', '396'])).
52.70/52.92	tff('399', plain,
52.70/52.92	    ![X0 : a, X1 : a, X2 : (a * a * a) > $o]:
52.70/52.92	      (sk_Xb1(X2) = sk_Xc1(X2)
52.70/52.92	       | sk_Xa1(X2) = sk_Xc1(X2)
52.70/52.92	       | X2(w, z, z)
52.70/52.92	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(X2), X0)
52.70/52.92	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(X2), X1)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(c0, sk_Xb1(X2), cP(X1, X0))),
52.70/52.92	    inference('simplify', [status(thm)], ['398'])).
52.70/52.92	tff('400', plain,
52.70/52.92	    ![X0 : a, X1 : a]:
52.70/52.92	      (sk_R(c0, c0, cP(X1, X0))
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), X1)
52.70/52.92	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)),
52.70/52.92	    inference('sup+', [status(thm)], ['396', '399'])).
52.70/52.92	tff('401', plain,
52.70/52.92	    ![X0 : a, X1 : a]:
52.70/52.92	      (sk_R(c0, c0, cP(X1, X0))
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), X1)
52.70/52.92	       | ~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | c0 = sk_Xc1(sk_R)),
52.70/52.92	    inference('demod', [status(thm)], ['400', '302', '396'])).
52.70/52.92	tff('402', plain,
52.70/52.92	    ![X0 : a, X1 : a]:
52.70/52.92	      (~ sk_R(sk_Xx21(sk_R), sk_Xy21(sk_R), X0)
52.70/52.92	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), X1)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(c0, c0, cP(X1, X0))),
52.70/52.92	    inference('simplify', [status(thm)], ['401'])).
52.70/52.92	tff('403', plain,
52.70/52.92	    ![X0 : a]:
52.70/52.92	      (~ $true
52.70/52.92	       | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | sk_R(c0, c0, cP(X0, sk_Xz21(sk_R)))
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), X0)),
52.70/52.92	    inference('sup-', [status(thm)], ['65', '402'])).
52.70/52.92	tff('404', plain,
52.70/52.92	    ![X0 : a]:
52.70/52.92	      (~ $true
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | sk_R(c0, c0, cP(X0, sk_Xz21(sk_R)))
52.70/52.92	       | c0 = sk_Xc1(sk_R)
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), X0)),
52.70/52.92	    inference('demod', [status(thm)], ['403', '396', '302'])).
52.70/52.92	tff('405', plain,
52.70/52.92	    ![X0 : a]:
52.70/52.92	      (~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), X0)
52.70/52.92	       | sk_R(c0, c0, cP(X0, sk_Xz21(sk_R)))
52.70/52.92	       | sk_R(w, z, z)
52.70/52.92	       | c0 = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['404'])).
52.70/52.92	tff('406', plain,
52.70/52.92	    (sk_R(c0, c0, sk_Xc1(sk_R))
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))),
52.70/52.92	    inference('sup+', [status(thm)], ['51', '405'])).
52.70/52.92	tff('407', plain,
52.70/52.92	    (sk_R(c0, c0, sk_Xc1(sk_R))
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))),
52.70/52.92	    inference('demod', [status(thm)], ['406', '396', '302'])).
52.70/52.92	tff('408', plain,
52.70/52.92	    (~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(c0, c0, sk_Xc1(sk_R))),
52.70/52.92	    inference('simplify', [status(thm)], ['407'])).
52.70/52.92	tff('409', plain,
52.70/52.92	    (c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))),
52.70/52.92	    inference('clc', [status(thm)], ['408', '397'])).
52.70/52.92	tff('410', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | c0 = sk_Xc1(sk_R)),
52.70/52.92	    inference('sup-', [status(thm)], ['52', '409'])).
52.70/52.92	tff('411', plain,
52.70/52.92	    (~ $true
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | c0 = sk_Xc1(sk_R)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | sk_R(w, z, z)
52.70/52.92	     | c0 = sk_Xc1(sk_R)),
52.70/52.92	    inference('demod', [status(thm)], ['410', '396', '302'])).
52.70/52.92	tff('412', plain, (sk_R(w, z, z) | c0 = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['411'])).
52.70/52.92	tff('413', plain, (~ $true | c0 = sk_Xc1(sk_R) | c0 = sk_Xc(sk_R)),
52.70/52.92	    inference('sup-', [status(thm)], ['412', '379'])).
52.70/52.92	tff('414', plain, (c0 = sk_Xc(sk_R) | c0 = sk_Xc1(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['413'])).
52.70/52.92	tff('415', plain,
52.70/52.92	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), c0)
52.70/52.92	     | c0 = sk_Xc(sk_R)
52.70/52.92	     | sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['414', '11'])).
52.70/52.92	tff('416', plain, (~ $true | c0 = sk_Xc(sk_R) | sk_R(w, z, z)),
52.70/52.92	    inference('demod', [status(thm)], ['415', '302', '396', '138'])).
52.70/52.92	tff('417', plain, (sk_R(w, z, z) | c0 = sk_Xc(sk_R)),
52.70/52.92	    inference('simplify', [status(thm)], ['416'])).
52.70/52.92	tff('418', plain, c0 = sk_Xc(sk_R),
52.70/52.92	    inference('clc', [status(thm)], ['417', '379'])).
52.70/52.92	tff('419', plain, (~ $true | sk_R(x, y, y)),
52.70/52.92	    inference('demod', [status(thm)], ['373', '418', '138'])).
52.70/52.92	tff('420', plain, sk_R(x, y, y),
52.70/52.92	    inference('simplify', [status(thm)], ['419'])).
52.70/52.92	tff('421', plain, (~ $true | ~ sk_R(w, z, z)),
52.70/52.92	    inference('sup-', [status(thm)], ['420', '45'])).
52.70/52.92	tff('422', plain, ~ sk_R(w, z, z),
52.70/52.92	    inference('simplify', [status(thm)], ['421'])).
52.70/52.92	tff('423', plain, (~ $true | c0 = sk_Xc1(sk_R)),
52.70/52.92	    inference('sup-', [status(thm)], ['412', '422'])).
52.70/52.92	tff('424', plain, c0 = sk_Xc1(sk_R),
52.70/52.92	    inference('simplify', [status(thm)], ['423'])).
52.70/52.92	tff('425', plain, (~ $true | sk_R(w, z, z)),
52.70/52.92	    inference('demod', [status(thm)], ['397', '424', '138'])).
52.70/52.92	tff('426', plain, sk_R(w, z, z),
52.70/52.92	    inference('simplify', [status(thm)], ['425'])).
52.70/52.92	tff('427', plain, ~ $true, inference('sup-', [status(thm)], ['426', '422'])).
52.70/52.92	tff('428', plain, $false, inference('simplify', [status(thm)], ['427'])).
52.70/52.92	
52.70/52.92	% SZS output end Refutation
52.70/52.92	EOF
