0.00/0.00	% File    : /export/starexec/sandbox2/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   : n142.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 18:00:09 CST 2018
31.73/31.99	% done 10004 iterations in 31.787s
31.73/31.99	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
31.73/31.99	% SZS output start Refutation
31.73/32.00	tff(cS_LEM1E_pme, conjecture,
31.73/32.00	  (((![X:(a > $o)]:
31.73/32.00	       (((![Xx0:a,Xy0:a]: ((X(Xy0) & X(Xx0)) => X(cP(Xx0,Xy0)))) & X(cZ)) =>
31.73/32.00	        (![Xx0:a]: X(Xx0)))) & 
31.73/32.00	    (![Xx0:a,Xy0:a,Xu0:a,Xv0:a]:
31.73/32.00	       ((cP(Xx0,Xu0) = cP(Xy0,Xv0)) => ((Xu0 = Xv0) & (Xx0 = Xy0)))) & 
31.73/32.00	    (![Xx0:a,Xy0:a]: (cP(Xx0,Xy0) != cZ))) =>
31.73/32.00	   ((![R:((a * a * a) > $o)]:
31.73/32.00	       ((![Xa:a,Xb:a,Xc:a]:
31.73/32.00	           (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
31.73/32.00	                (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
31.73/32.00	                 (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
31.73/32.00	             ((Xa = Xc) & (Xb = cZ)) | ((Xb = Xc) & (Xa = cZ))) =>
31.73/32.00	            R(Xa,Xb,Xc))) =>
31.73/32.00	        R(x,u,u))) =>
31.73/32.00	    ((![R:((a * a * a) > $o)]:
31.73/32.00	        ((![Xa:a,Xb:a,Xc:a]:
31.73/32.00	            (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
31.73/32.00	                 (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
31.73/32.00	                  (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
31.73/32.00	              ((Xa = Xc) & (Xb = cZ)) | ((Xb = Xc) & (Xa = cZ))) =>
31.73/32.00	             R(Xa,Xb,Xc))) =>
31.73/32.00	         R(y,v,v))) =>
31.73/32.00	     (![R:((a * a * a) > $o)]:
31.73/32.00	        ((![Xa:a,Xb:a,Xc:a]:
31.73/32.00	            (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
31.73/32.00	                 (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
31.73/32.00	                  (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
31.73/32.00	              ((Xa = Xc) & (Xb = cZ)) | ((Xb = Xc) & (Xa = cZ))) =>
31.73/32.00	             R(Xa,Xb,Xc))) =>
31.73/32.00	         R(cP(x,y),cP(u,v),cP(u,v)))))))).
31.73/32.00	tff(zf_stmt_0, negated_conjecture,
31.73/32.00	  (~
31.73/32.00	    (((![X:(a > $o)]:
31.73/32.00	         (((![Xx0:a,Xy0:a]: ((X(Xy0) & X(Xx0)) => X(cP(Xx0,Xy0)))) & X(cZ)) =>
31.73/32.00	          (![Xx0:a]: X(Xx0)))) & 
31.73/32.00	      (![Xx0:a,Xy0:a,Xu0:a,Xv0:a]:
31.73/32.00	         ((cP(Xx0,Xu0) = cP(Xy0,Xv0)) => ((Xu0 = Xv0) & (Xx0 = Xy0)))) & 
31.73/32.00	      (![Xx0:a,Xy0:a]: (cP(Xx0,Xy0) != cZ))) =>
31.73/32.00	     ((![R:((a * a * a) > $o)]:
31.73/32.00	         ((![Xa:a,Xb:a,Xc:a]:
31.73/32.00	             (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
31.73/32.00	                  (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
31.73/32.00	                   (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
31.73/32.00	               ((Xa = Xc) & (Xb = cZ)) | ((Xb = Xc) & (Xa = cZ))) =>
31.73/32.00	              R(Xa,Xb,Xc))) =>
31.73/32.00	          R(x,u,u))) =>
31.73/32.00	      ((![R:((a * a * a) > $o)]:
31.73/32.00	          ((![Xa:a,Xb:a,Xc:a]:
31.73/32.00	              (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
31.73/32.00	                   (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
31.73/32.00	                    (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
31.73/32.00	                ((Xa = Xc) & (Xb = cZ)) | ((Xb = Xc) & (Xa = cZ))) =>
31.73/32.00	               R(Xa,Xb,Xc))) =>
31.73/32.00	           R(y,v,v))) =>
31.73/32.00	       (![R:((a * a * a) > $o)]:
31.73/32.00	          ((![Xa:a,Xb:a,Xc:a]:
31.73/32.00	              (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
31.73/32.00	                   (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
31.73/32.00	                    (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
31.73/32.00	                ((Xa = Xc) & (Xb = cZ)) | ((Xb = Xc) & (Xa = cZ))) =>
31.73/32.00	               R(Xa,Xb,Xc))) =>
31.73/32.00	           R(cP(x,y),cP(u,v),cP(u,v))))))))).
31.73/32.00	tff('0', plain,
31.73/32.00	    ![X18 : (a * a * a) > $o]:
31.73/32.00	      (X18(x, u, u)
31.73/32.00	       | sk_Xa(X18) = cP(sk_Xx1(X18), sk_Xx2(X18))
31.73/32.00	       | sk_Xa(X18) = sk_Xc(X18)
31.73/32.00	       | sk_Xb(X18) = sk_Xc(X18)),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('1', plain, ![X6 : a, X7 : a]: cP(X6, X7) != cZ,
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('2', plain,
31.73/32.00	    ![X0 : (a * a * a) > $o]:
31.73/32.00	      (sk_Xa(X0) != cZ
31.73/32.00	       | sk_Xb(X0) = sk_Xc(X0)
31.73/32.00	       | sk_Xa(X0) = sk_Xc(X0)
31.73/32.00	       | X0(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['0', '1'])).
31.73/32.00	tff('3', plain,
31.73/32.00	    ![X8 : (a * a * a) > $o]:
31.73/32.00	      (X8(y, v, v)
31.73/32.00	       | sk_Xa1(X8) = cP(sk_Xx11(X8), sk_Xx21(X8))
31.73/32.00	       | sk_Xa1(X8) = sk_Xc1(X8)
31.73/32.00	       | sk_Xb1(X8) = sk_Xc1(X8)),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('4', plain,
31.73/32.00	    ![X0 : (a * a * a) > $o]:
31.73/32.00	      (sk_Xa1(X0) != cZ
31.73/32.00	       | sk_Xb1(X0) = sk_Xc1(X0)
31.73/32.00	       | sk_Xa1(X0) = sk_Xc1(X0)
31.73/32.00	       | X0(y, v, v)),
31.73/32.00	    inference('sup-', [status(thm)], ['3', '1'])).
31.73/32.00	tff('5', plain,
31.73/32.00	    ![X9 : a, X10 : a, X11 : a, X12 : a, X13 : a, X14 : a, X15 : a, X16 : a, 
31.73/32.00	      X17 : a]:
31.73/32.00	      (sk_R(X9, X10, X11)
31.73/32.00	       | ~ sk_R(X12, X13, X14)
31.73/32.00	       | X10 != cP(X13, X15)
31.73/32.00	       | X9 != cP(X12, X16)
31.73/32.00	       | X11 != cP(X14, X17)
31.73/32.00	       | ~ sk_R(X16, X15, X17)),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('6', plain,
31.73/32.00	    ![X12 : a, X13 : a, X14 : a, X15 : a, X16 : a, X17 : a]:
31.73/32.00	      (~ sk_R(X16, X15, X17)
31.73/32.00	       | ~ sk_R(X12, X13, X14)
31.73/32.00	       | sk_R(cP(X12, X16), cP(X13, X15), cP(X14, X17))),
31.73/32.00	    inference('simplify', [status(thm)], ['5'])).
31.73/32.00	tff('7', plain, ~ sk_R(cP(x, y), cP(u, v), cP(u, v)),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('8', plain, (~ $true | ~ sk_R(x, u, u) | ~ sk_R(y, v, v)),
31.73/32.00	    inference('sup-', [status(thm)], ['6', '7'])).
31.73/32.00	tff('9', plain, (~ sk_R(y, v, v) | ~ sk_R(x, u, u)),
31.73/32.00	    inference('simplify', [status(thm)], ['8'])).
31.73/32.00	tff('10', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['4', '9'])).
31.73/32.00	tff('11', plain,
31.73/32.00	    (~ sk_R(x, u, u)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['10'])).
31.73/32.00	tff('12', plain,
31.73/32.00	    ![X8 : (a * a * a) > $o]:
31.73/32.00	      (X8(y, v, v)
31.73/32.00	       | sk_Xb1(X8) = cP(sk_Xy11(X8), sk_Xy21(X8))
31.73/32.00	       | sk_Xa1(X8) = sk_Xc1(X8)
31.73/32.00	       | sk_Xa1(X8) = cZ),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('13', plain,
31.73/32.00	    ![X0 : (a * a * a) > $o]:
31.73/32.00	      (sk_Xb1(X0) != cZ
31.73/32.00	       | sk_Xa1(X0) = cZ
31.73/32.00	       | sk_Xa1(X0) = sk_Xc1(X0)
31.73/32.00	       | X0(y, v, v)),
31.73/32.00	    inference('sup-', [status(thm)], ['12', '1'])).
31.73/32.00	tff('14', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['13', '9'])).
31.73/32.00	tff('15', plain,
31.73/32.00	    (~ sk_R(x, u, u)
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['14'])).
31.73/32.00	tff('16', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['2', '15'])).
31.73/32.00	tff('17', plain,
31.73/32.00	    (sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['16'])).
31.73/32.00	tff('18', plain,
31.73/32.00	    ![X18 : (a * a * a) > $o]:
31.73/32.00	      (X18(x, u, u)
31.73/32.00	       | sk_Xb(X18) = cP(sk_Xy1(X18), sk_Xy2(X18))
31.73/32.00	       | sk_Xa(X18) = sk_Xc(X18)
31.73/32.00	       | sk_Xa(X18) = cZ),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('19', plain,
31.73/32.00	    ![X0 : (a * a * a) > $o]:
31.73/32.00	      (sk_Xb(X0) != cZ | sk_Xa(X0) = cZ | sk_Xa(X0) = sk_Xc(X0) | X0(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['18', '1'])).
31.73/32.00	tff('20', plain,
31.73/32.00	    ![X8 : (a * a * a) > $o]:
31.73/32.00	      (X8(y, v, v)
31.73/32.00	       | X8(sk_Xx21(X8), sk_Xy21(X8), sk_Xz21(X8))
31.73/32.00	       | sk_Xb1(X8) = cZ
31.73/32.00	       | sk_Xa1(X8) = cZ),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('21', plain,
31.73/32.00	    ![X8 : (a * a * a) > $o]:
31.73/32.00	      (X8(y, v, v)
31.73/32.00	       | sk_Xc1(X8) = cP(sk_Xz11(X8), sk_Xz21(X8))
31.73/32.00	       | sk_Xb1(X8) = cZ
31.73/32.00	       | sk_Xa1(X8) = cZ),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('22', plain,
31.73/32.00	    ![X8 : (a * a * a) > $o]:
31.73/32.00	      (X8(y, v, v)
31.73/32.00	       | sk_Xb1(X8) = cP(sk_Xy11(X8), sk_Xy21(X8))
31.73/32.00	       | sk_Xb1(X8) = cZ
31.73/32.00	       | sk_Xa1(X8) = cZ),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('23', plain,
31.73/32.00	    ![X8 : (a * a * a) > $o]:
31.73/32.00	      (X8(y, v, v)
31.73/32.00	       | sk_Xa1(X8) = cP(sk_Xx11(X8), sk_Xx21(X8))
31.73/32.00	       | sk_Xb1(X8) = cZ
31.73/32.00	       | sk_Xa1(X8) = cZ),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('24', plain,
31.73/32.00	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
31.73/32.00	      (sk_R(sk_Xa1(X0), cP(X4, X3), cP(X2, X1))
31.73/32.00	       | sk_Xa1(X0) = cZ
31.73/32.00	       | sk_Xb1(X0) = cZ
31.73/32.00	       | X0(y, v, v)
31.73/32.00	       | ~ sk_R(sk_Xx11(X0), X4, X2)
31.73/32.00	       | ~ sk_R(sk_Xx21(X0), X3, X1)),
31.73/32.00	    inference('sup+', [status(thm)], ['23', '6'])).
31.73/32.00	tff('25', plain,
31.73/32.00	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : (a * a * a) > $o]:
31.73/32.00	      (sk_R(sk_Xa1(X3), sk_Xb1(X0), cP(X2, X1))
31.73/32.00	       | sk_Xa1(X0) = cZ
31.73/32.00	       | sk_Xb1(X0) = cZ
31.73/32.00	       | X0(y, v, v)
31.73/32.00	       | ~ sk_R(sk_Xx21(X3), sk_Xy21(X0), X1)
31.73/32.00	       | ~ sk_R(sk_Xx11(X3), sk_Xy11(X0), X2)
31.73/32.00	       | X3(y, v, v)
31.73/32.00	       | sk_Xb1(X3) = cZ
31.73/32.00	       | sk_Xa1(X3) = cZ),
31.73/32.00	    inference('sup+', [status(thm)], ['22', '24'])).
31.73/32.00	tff('26', plain,
31.73/32.00	    ![X0 : (a * a * a) > $o, X1 : (a * a * a) > $o, X2 : (a * a * a) > $o]:
31.73/32.00	      (sk_R(sk_Xa1(X2), sk_Xb1(X1), sk_Xc1(X0))
31.73/32.00	       | sk_Xa1(X0) = cZ
31.73/32.00	       | sk_Xb1(X0) = cZ
31.73/32.00	       | X0(y, v, v)
31.73/32.00	       | sk_Xa1(X2) = cZ
31.73/32.00	       | sk_Xb1(X2) = cZ
31.73/32.00	       | X2(y, v, v)
31.73/32.00	       | ~ sk_R(sk_Xx11(X2), sk_Xy11(X1), sk_Xz11(X0))
31.73/32.00	       | ~ sk_R(sk_Xx21(X2), sk_Xy21(X1), sk_Xz21(X0))
31.73/32.00	       | X1(y, v, v)
31.73/32.00	       | sk_Xb1(X1) = cZ
31.73/32.00	       | sk_Xa1(X1) = cZ),
31.73/32.00	    inference('sup+', [status(thm)], ['21', '25'])).
31.73/32.00	tff('27', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
31.73/32.00	    inference('sup-', [status(thm)], ['20', '26'])).
31.73/32.00	tff('28', plain,
31.73/32.00	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
31.73/32.00	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['27'])).
31.73/32.00	tff('29', plain,
31.73/32.00	    ![X8 : (a * a * a) > $o]:
31.73/32.00	      (X8(y, v, v) | ~ X8(sk_Xa1(X8), sk_Xb1(X8), sk_Xc1(X8))),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('30', plain,
31.73/32.00	    (sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))),
31.73/32.00	    inference('clc', [status(thm)], ['28', '29'])).
31.73/32.00	tff('31', plain,
31.73/32.00	    ![X8 : (a * a * a) > $o]:
31.73/32.00	      (X8(y, v, v)
31.73/32.00	       | X8(sk_Xx11(X8), sk_Xy11(X8), sk_Xz11(X8))
31.73/32.00	       | sk_Xb1(X8) = cZ
31.73/32.00	       | sk_Xa1(X8) = cZ),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('32', plain, (sk_R(y, v, v) | sk_Xb1(sk_R) = cZ | sk_Xa1(sk_R) = cZ),
31.73/32.00	    inference('clc', [status(thm)], ['30', '31'])).
31.73/32.00	tff('33', plain,
31.73/32.00	    (~ $true | sk_Xa1(sk_R) = cZ | sk_Xb1(sk_R) = cZ | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['32', '9'])).
31.73/32.00	tff('34', plain, (~ sk_R(x, u, u) | sk_Xb1(sk_R) = cZ | sk_Xa1(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['33'])).
31.73/32.00	tff('35', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['19', '34'])).
31.73/32.00	tff('36', plain,
31.73/32.00	    (sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['35'])).
31.73/32.00	tff('37', plain,
31.73/32.00	    ![X18 : (a * a * a) > $o]:
31.73/32.00	      (X18(x, u, u)
31.73/32.00	       | X18(sk_Xx2(X18), sk_Xy2(X18), sk_Xz2(X18))
31.73/32.00	       | sk_Xb(X18) = cZ
31.73/32.00	       | sk_Xa(X18) = cZ),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('38', plain,
31.73/32.00	    ![X18 : (a * a * a) > $o]:
31.73/32.00	      (X18(x, u, u)
31.73/32.00	       | sk_Xc(X18) = cP(sk_Xz1(X18), sk_Xz2(X18))
31.73/32.00	       | sk_Xb(X18) = cZ
31.73/32.00	       | sk_Xa(X18) = cZ),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('39', plain,
31.73/32.00	    ![X18 : (a * a * a) > $o]:
31.73/32.00	      (X18(x, u, u)
31.73/32.00	       | sk_Xb(X18) = cP(sk_Xy1(X18), sk_Xy2(X18))
31.73/32.00	       | sk_Xb(X18) = cZ
31.73/32.00	       | sk_Xa(X18) = cZ),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('40', plain,
31.73/32.00	    ![X18 : (a * a * a) > $o]:
31.73/32.00	      (X18(x, u, u)
31.73/32.00	       | sk_Xa(X18) = cP(sk_Xx1(X18), sk_Xx2(X18))
31.73/32.00	       | sk_Xb(X18) = cZ
31.73/32.00	       | sk_Xa(X18) = cZ),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('41', plain,
31.73/32.00	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
31.73/32.00	      (sk_R(sk_Xa(X0), cP(X4, X3), cP(X2, X1))
31.73/32.00	       | sk_Xa(X0) = cZ
31.73/32.00	       | sk_Xb(X0) = cZ
31.73/32.00	       | X0(x, u, u)
31.73/32.00	       | ~ sk_R(sk_Xx1(X0), X4, X2)
31.73/32.00	       | ~ sk_R(sk_Xx2(X0), X3, X1)),
31.73/32.00	    inference('sup+', [status(thm)], ['40', '6'])).
31.73/32.00	tff('42', plain,
31.73/32.00	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : (a * a * a) > $o]:
31.73/32.00	      (sk_R(sk_Xa(X3), sk_Xb(X0), cP(X2, X1))
31.73/32.00	       | sk_Xa(X0) = cZ
31.73/32.00	       | sk_Xb(X0) = cZ
31.73/32.00	       | X0(x, u, u)
31.73/32.00	       | ~ sk_R(sk_Xx2(X3), sk_Xy2(X0), X1)
31.73/32.00	       | ~ sk_R(sk_Xx1(X3), sk_Xy1(X0), X2)
31.73/32.00	       | X3(x, u, u)
31.73/32.00	       | sk_Xb(X3) = cZ
31.73/32.00	       | sk_Xa(X3) = cZ),
31.73/32.00	    inference('sup+', [status(thm)], ['39', '41'])).
31.73/32.00	tff('43', plain,
31.73/32.00	    ![X0 : (a * a * a) > $o, X1 : (a * a * a) > $o, X2 : (a * a * a) > $o]:
31.73/32.00	      (sk_R(sk_Xa(X2), sk_Xb(X1), sk_Xc(X0))
31.73/32.00	       | sk_Xa(X0) = cZ
31.73/32.00	       | sk_Xb(X0) = cZ
31.73/32.00	       | X0(x, u, u)
31.73/32.00	       | sk_Xa(X2) = cZ
31.73/32.00	       | sk_Xb(X2) = cZ
31.73/32.00	       | X2(x, u, u)
31.73/32.00	       | ~ sk_R(sk_Xx1(X2), sk_Xy1(X1), sk_Xz1(X0))
31.73/32.00	       | ~ sk_R(sk_Xx2(X2), sk_Xy2(X1), sk_Xz2(X0))
31.73/32.00	       | X1(x, u, u)
31.73/32.00	       | sk_Xb(X1) = cZ
31.73/32.00	       | sk_Xa(X1) = cZ),
31.73/32.00	    inference('sup+', [status(thm)], ['38', '42'])).
31.73/32.00	tff('44', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_R(x, u, u)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_R(x, u, u)
31.73/32.00	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))
31.73/32.00	     | sk_R(x, u, u)
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_R(x, u, u)
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
31.73/32.00	    inference('sup-', [status(thm)], ['37', '43'])).
31.73/32.00	tff('45', plain,
31.73/32.00	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
31.73/32.00	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))
31.73/32.00	     | sk_R(x, u, u)
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['44'])).
31.73/32.00	tff('46', plain,
31.73/32.00	    ![X18 : (a * a * a) > $o]:
31.73/32.00	      (X18(x, u, u) | ~ X18(sk_Xa(X18), sk_Xb(X18), sk_Xc(X18))),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('47', plain,
31.73/32.00	    (sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_R(x, u, u)
31.73/32.00	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))),
31.73/32.00	    inference('clc', [status(thm)], ['45', '46'])).
31.73/32.00	tff('48', plain,
31.73/32.00	    ![X18 : (a * a * a) > $o]:
31.73/32.00	      (X18(x, u, u)
31.73/32.00	       | X18(sk_Xx1(X18), sk_Xy1(X18), sk_Xz1(X18))
31.73/32.00	       | sk_Xb(X18) = cZ
31.73/32.00	       | sk_Xa(X18) = cZ),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('49', plain, (sk_R(x, u, u) | sk_Xb(sk_R) = cZ | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('clc', [status(thm)], ['47', '48'])).
31.73/32.00	tff('50', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['49', '34'])).
31.73/32.00	tff('51', plain,
31.73/32.00	    (sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['50'])).
31.73/32.00	tff('52', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['49', '15'])).
31.73/32.00	tff('53', plain,
31.73/32.00	    (sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['52'])).
31.73/32.00	tff('54', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xa1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)),
31.73/32.00	    inference('sup-', [status(thm)], ['53', '29'])).
31.73/32.00	tff('55', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['51', '54'])).
31.73/32.00	tff('56', plain,
31.73/32.00	    ![X9 : a, X10 : a, X11 : a]: (sk_R(X9, X10, X11) | X9 != X11 | X10 != cZ),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('57', plain, ![X11 : a]: sk_R(X11, cZ, X11),
31.73/32.00	    inference('simplify', [status(thm)], ['56'])).
31.73/32.00	tff('58', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('demod', [status(thm)], ['55', '57'])).
31.73/32.00	tff('59', plain,
31.73/32.00	    (sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['58'])).
31.73/32.00	tff('60', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['59', '9'])).
31.73/32.00	tff('61', plain,
31.73/32.00	    (~ sk_R(x, u, u)
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['60'])).
31.73/32.00	tff('62', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['49', '61'])).
31.73/32.00	tff('63', plain,
31.73/32.00	    (sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['62'])).
31.73/32.00	tff('64', plain,
31.73/32.00	    (cZ != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['51', '63'])).
31.73/32.00	tff('65', plain, (sk_Xa1(sk_R) = cZ | sk_Xb(sk_R) = cZ | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['64'])).
31.73/32.00	tff('66', plain,
31.73/32.00	    (~ sk_R(sk_Xa(sk_R), cZ, sk_Xc(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['65', '46'])).
31.73/32.00	tff('67', plain,
31.73/32.00	    (~ sk_R(sk_Xa(sk_R), cZ, sk_Xa(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_R(x, u, u)
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['36', '66'])).
31.73/32.00	tff('68', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_R(x, u, u)
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('demod', [status(thm)], ['67', '57'])).
31.73/32.00	tff('69', plain,
31.73/32.00	    (sk_R(x, u, u)
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['68'])).
31.73/32.00	tff('70', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['69', '34'])).
31.73/32.00	tff('71', plain,
31.73/32.00	    (sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['70'])).
31.73/32.00	tff('72', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['19', '15'])).
31.73/32.00	tff('73', plain,
31.73/32.00	    (sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['72'])).
31.73/32.00	tff('74', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xa1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)),
31.73/32.00	    inference('sup-', [status(thm)], ['73', '29'])).
31.73/32.00	tff('75', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('sup-', [status(thm)], ['71', '74'])).
31.73/32.00	tff('76', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('demod', [status(thm)], ['75', '57'])).
31.73/32.00	tff('77', plain,
31.73/32.00	    (sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['76'])).
31.73/32.00	tff('78', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['77', '9'])).
31.73/32.00	tff('79', plain,
31.73/32.00	    (~ sk_R(x, u, u)
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['78'])).
31.73/32.00	tff('80', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('sup-', [status(thm)], ['19', '79'])).
31.73/32.00	tff('81', plain,
31.73/32.00	    (sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['80'])).
31.73/32.00	tff('82', plain,
31.73/32.00	    (~ sk_R(sk_Xa(sk_R), cZ, sk_Xa(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_R(x, u, u)
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['81', '66'])).
31.73/32.00	tff('83', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_R(x, u, u)
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('demod', [status(thm)], ['82', '57'])).
31.73/32.00	tff('84', plain,
31.73/32.00	    (sk_R(x, u, u)
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['83'])).
31.73/32.00	tff('85', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['84', '15'])).
31.73/32.00	tff('86', plain,
31.73/32.00	    (sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['85'])).
31.73/32.00	tff('87', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xc1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)),
31.73/32.00	    inference('sup-', [status(thm)], ['71', '29'])).
31.73/32.00	tff('88', plain,
31.73/32.00	    (sk_R(y, v, v)
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | ~ sk_R(sk_Xa1(sk_R), cZ, sk_Xc1(sk_R))),
31.73/32.00	    inference('clc', [status(thm)], ['87', '65'])).
31.73/32.00	tff('89', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)),
31.73/32.00	    inference('sup-', [status(thm)], ['86', '88'])).
31.73/32.00	tff('90', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)),
31.73/32.00	    inference('demod', [status(thm)], ['89', '57'])).
31.73/32.00	tff('91', plain,
31.73/32.00	    (sk_R(y, v, v)
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['90'])).
31.73/32.00	tff('92', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['91', '9'])).
31.73/32.00	tff('93', plain,
31.73/32.00	    (~ sk_R(x, u, u)
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['92'])).
31.73/32.00	tff('94', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['84', '93'])).
31.73/32.00	tff('95', plain,
31.73/32.00	    (sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['94'])).
31.73/32.00	tff('96', plain,
31.73/32.00	    (cZ != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['71', '95'])).
31.73/32.00	tff('97', plain, (sk_Xa1(sk_R) = cZ | sk_Xb(sk_R) != cZ | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['96'])).
31.73/32.00	tff('98', plain, (sk_Xa(sk_R) = cZ | sk_Xa1(sk_R) = cZ),
31.73/32.00	    inference('clc', [status(thm)], ['97', '65'])).
31.73/32.00	tff('99', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['19', '11'])).
31.73/32.00	tff('100', plain,
31.73/32.00	    (sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['99'])).
31.73/32.00	tff('101', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)),
31.73/32.00	    inference('sup-', [status(thm)], ['100', '29'])).
31.73/32.00	tff('102', plain,
31.73/32.00	    (~ sk_R(cZ, sk_Xb1(sk_R), sk_Xb1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('sup-', [status(thm)], ['98', '101'])).
31.73/32.00	tff('103', plain,
31.73/32.00	    ![X9 : a, X10 : a, X11 : a]: (sk_R(X9, X10, X11) | X10 != X11 | X9 != cZ),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('104', plain, ![X11 : a]: sk_R(cZ, X11, X11),
31.73/32.00	    inference('simplify', [status(thm)], ['103'])).
31.73/32.00	tff('105', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('demod', [status(thm)], ['102', '104'])).
31.73/32.00	tff('106', plain,
31.73/32.00	    (sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['105'])).
31.73/32.00	tff('107', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['106', '9'])).
31.73/32.00	tff('108', plain,
31.73/32.00	    (~ sk_R(x, u, u)
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['107'])).
31.73/32.00	tff('109', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('sup-', [status(thm)], ['19', '108'])).
31.73/32.00	tff('110', plain,
31.73/32.00	    (sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['109'])).
31.73/32.00	tff('111', plain,
31.73/32.00	    ![X8 : (a * a * a) > $o]:
31.73/32.00	      (X8(y, v, v)
31.73/32.00	       | sk_Xa1(X8) = cP(sk_Xx11(X8), sk_Xx21(X8))
31.73/32.00	       | sk_Xb1(X8) = cZ
31.73/32.00	       | sk_Xb1(X8) = sk_Xc1(X8)),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('112', plain,
31.73/32.00	    ![X0 : (a * a * a) > $o]:
31.73/32.00	      (sk_Xa1(X0) != cZ
31.73/32.00	       | sk_Xb1(X0) = sk_Xc1(X0)
31.73/32.00	       | sk_Xb1(X0) = cZ
31.73/32.00	       | X0(y, v, v)),
31.73/32.00	    inference('sup-', [status(thm)], ['111', '1'])).
31.73/32.00	tff('113', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['112', '9'])).
31.73/32.00	tff('114', plain,
31.73/32.00	    (~ sk_R(x, u, u)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb1(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['113'])).
31.73/32.00	tff('115', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['19', '114'])).
31.73/32.00	tff('116', plain,
31.73/32.00	    (sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['115'])).
31.73/32.00	tff('117', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)),
31.73/32.00	    inference('sup-', [status(thm)], ['116', '29'])).
31.73/32.00	tff('118', plain,
31.73/32.00	    (~ sk_R(cZ, sk_Xb1(sk_R), sk_Xb1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('sup-', [status(thm)], ['98', '117'])).
31.73/32.00	tff('119', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('demod', [status(thm)], ['118', '104'])).
31.73/32.00	tff('120', plain,
31.73/32.00	    (sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['119'])).
31.73/32.00	tff('121', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['120', '9'])).
31.73/32.00	tff('122', plain,
31.73/32.00	    (~ sk_R(x, u, u)
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['121'])).
31.73/32.00	tff('123', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('sup-', [status(thm)], ['19', '122'])).
31.73/32.00	tff('124', plain,
31.73/32.00	    (sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['123'])).
31.73/32.00	tff('125', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['49', '114'])).
31.73/32.00	tff('126', plain,
31.73/32.00	    (sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['125'])).
31.73/32.00	tff('127', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)),
31.73/32.00	    inference('sup-', [status(thm)], ['126', '29'])).
31.73/32.00	tff('128', plain,
31.73/32.00	    (~ sk_R(cZ, sk_Xb1(sk_R), sk_Xb1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['98', '127'])).
31.73/32.00	tff('129', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('demod', [status(thm)], ['128', '104'])).
31.73/32.00	tff('130', plain,
31.73/32.00	    (sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['129'])).
31.73/32.00	tff('131', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['130', '9'])).
31.73/32.00	tff('132', plain,
31.73/32.00	    (~ sk_R(x, u, u)
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['131'])).
31.73/32.00	tff('133', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['49', '132'])).
31.73/32.00	tff('134', plain,
31.73/32.00	    (sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['133'])).
31.73/32.00	tff('135', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['49', '11'])).
31.73/32.00	tff('136', plain,
31.73/32.00	    (sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['135'])).
31.73/32.00	tff('137', plain,
31.73/32.00	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ),
31.73/32.00	    inference('eq_fact', [status(thm)], ['136'])).
31.73/32.00	tff('138', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xa1(sk_R))
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
31.73/32.00	     | sk_R(y, v, v)),
31.73/32.00	    inference('sup-', [status(thm)], ['137', '29'])).
31.73/32.00	tff('139', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['134', '138'])).
31.73/32.00	tff('140', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ),
31.73/32.00	    inference('demod', [status(thm)], ['139', '57'])).
31.73/32.00	tff('141', plain,
31.73/32.00	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['140'])).
31.73/32.00	tff('142', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
31.73/32.00	     | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['141', '9'])).
31.73/32.00	tff('143', plain,
31.73/32.00	    (~ sk_R(x, u, u)
31.73/32.00	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['142'])).
31.73/32.00	tff('144', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
31.73/32.00	    inference('sup-', [status(thm)], ['49', '143'])).
31.73/32.00	tff('145', plain,
31.73/32.00	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['144'])).
31.73/32.00	tff('146', plain,
31.73/32.00	    (cZ != sk_Xa1(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['134', '145'])).
31.73/32.00	tff('147', plain, (sk_Xb(sk_R) = cZ | sk_Xa(sk_R) = cZ | cZ != sk_Xa1(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['146'])).
31.73/32.00	tff('148', plain, (sk_Xa(sk_R) = cZ | sk_Xb(sk_R) = cZ),
31.73/32.00	    inference('clc', [status(thm)], ['147', '98'])).
31.73/32.00	tff('149', plain,
31.73/32.00	    (~ sk_R(sk_Xa(sk_R), cZ, sk_Xc(sk_R)) | sk_Xa(sk_R) = cZ | sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['148', '46'])).
31.73/32.00	tff('150', plain,
31.73/32.00	    (~ sk_R(sk_Xa(sk_R), cZ, sk_Xa(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_R(x, u, u)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['124', '149'])).
31.73/32.00	tff('151', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_R(x, u, u)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('demod', [status(thm)], ['150', '57'])).
31.73/32.00	tff('152', plain,
31.73/32.00	    (sk_R(x, u, u)
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['151'])).
31.73/32.00	tff('153', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['152', '114'])).
31.73/32.00	tff('154', plain,
31.73/32.00	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['153'])).
31.73/32.00	tff('155', plain,
31.73/32.00	    (~ sk_R(cZ, sk_Xb1(sk_R), sk_Xc1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)),
31.73/32.00	    inference('sup-', [status(thm)], ['98', '29'])).
31.73/32.00	tff('156', plain,
31.73/32.00	    (~ sk_R(cZ, sk_Xb1(sk_R), sk_Xb1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['154', '155'])).
31.73/32.00	tff('157', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('demod', [status(thm)], ['156', '104'])).
31.73/32.00	tff('158', plain,
31.73/32.00	    (sk_R(y, v, v)
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['157'])).
31.73/32.00	tff('159', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['158', '9'])).
31.73/32.00	tff('160', plain,
31.73/32.00	    (~ sk_R(x, u, u)
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['159'])).
31.73/32.00	tff('161', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['152', '160'])).
31.73/32.00	tff('162', plain,
31.73/32.00	    (sk_Xb1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['161'])).
31.73/32.00	tff('163', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xc1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)),
31.73/32.00	    inference('sup-', [status(thm)], ['162', '29'])).
31.73/32.00	tff('164', plain,
31.73/32.00	    (sk_R(y, v, v)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | ~ sk_R(sk_Xa1(sk_R), cZ, sk_Xc1(sk_R))),
31.73/32.00	    inference('clc', [status(thm)], ['163', '148'])).
31.73/32.00	tff('165', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xc1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)),
31.73/32.00	    inference('clc', [status(thm)], ['164', '98'])).
31.73/32.00	tff('166', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['110', '165'])).
31.73/32.00	tff('167', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('demod', [status(thm)], ['166', '57'])).
31.73/32.00	tff('168', plain,
31.73/32.00	    (sk_R(y, v, v)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['167'])).
31.73/32.00	tff('169', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['168', '9'])).
31.73/32.00	tff('170', plain,
31.73/32.00	    (~ sk_R(x, u, u)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['169'])).
31.73/32.00	tff('171', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['19', '170'])).
31.73/32.00	tff('172', plain,
31.73/32.00	    (sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['171'])).
31.73/32.00	tff('173', plain,
31.73/32.00	    (~ sk_R(sk_Xa(sk_R), cZ, sk_Xa(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(x, u, u)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['172', '149'])).
31.73/32.00	tff('174', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(x, u, u)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('demod', [status(thm)], ['173', '57'])).
31.73/32.00	tff('175', plain,
31.73/32.00	    (sk_R(x, u, u)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb(sk_R) != cZ
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['174'])).
31.73/32.00	tff('176', plain, (sk_Xa(sk_R) = cZ | sk_Xb(sk_R) != cZ | sk_R(x, u, u)),
31.73/32.00	    inference('clc', [status(thm)], ['175', '98'])).
31.73/32.00	tff('177', plain, (sk_R(x, u, u) | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('clc', [status(thm)], ['176', '148'])).
31.73/32.00	tff('178', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['177', '11'])).
31.73/32.00	tff('179', plain,
31.73/32.00	    (sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['178'])).
31.73/32.00	tff('180', plain,
31.73/32.00	    (~ sk_R(cZ, sk_Xb1(sk_R), sk_Xb1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['179', '155'])).
31.73/32.00	tff('181', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('demod', [status(thm)], ['180', '104'])).
31.73/32.00	tff('182', plain,
31.73/32.00	    (sk_R(y, v, v)
31.73/32.00	     | sk_Xa1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['181'])).
31.73/32.00	tff('183', plain,
31.73/32.00	    (sk_Xa(sk_R) = cZ | sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_R(y, v, v)),
31.73/32.00	    inference('clc', [status(thm)], ['182', '98'])).
31.73/32.00	tff('184', plain,
31.73/32.00	    (~ $true
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['183', '9'])).
31.73/32.00	tff('185', plain,
31.73/32.00	    (~ sk_R(x, u, u) | sk_Xa(sk_R) = cZ | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
31.73/32.00	    inference('simplify', [status(thm)], ['184'])).
31.73/32.00	tff('186', plain, (sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('clc', [status(thm)], ['185', '177'])).
31.73/32.00	tff('187', plain,
31.73/32.00	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
31.73/32.00	     | sk_Xa(sk_R) = cZ
31.73/32.00	     | sk_R(y, v, v)
31.73/32.00	     | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('sup-', [status(thm)], ['186', '165'])).
31.73/32.00	tff('188', plain,
31.73/32.00	    (~ $true | sk_Xa(sk_R) = cZ | sk_R(y, v, v) | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('demod', [status(thm)], ['187', '57'])).
31.73/32.00	tff('189', plain, (sk_R(y, v, v) | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['188'])).
31.73/32.00	tff('190', plain, (~ $true | sk_Xa(sk_R) = cZ | ~ sk_R(x, u, u)),
31.73/32.00	    inference('sup-', [status(thm)], ['189', '9'])).
31.73/32.00	tff('191', plain, (~ sk_R(x, u, u) | sk_Xa(sk_R) = cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['190'])).
31.73/32.00	tff('192', plain, sk_Xa(sk_R) = cZ,
31.73/32.00	    inference('clc', [status(thm)], ['191', '177'])).
31.73/32.00	tff('193', plain,
31.73/32.00	    (sk_Xb1(sk_R) != cZ
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | cZ != cZ
31.73/32.00	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | cZ = sk_Xc(sk_R)),
31.73/32.00	    inference('demod', [status(thm)], ['17', '192', '192'])).
31.73/32.00	tff('194', plain,
31.73/32.00	    (cZ = sk_Xc(sk_R)
31.73/32.00	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.00	     | sk_Xa1(sk_R) = cZ
31.73/32.00	     | sk_Xb1(sk_R) != cZ),
31.73/32.00	    inference('simplify', [status(thm)], ['193'])).
31.73/32.00	tff('195', plain,
31.73/32.00	    ![X18 : (a * a * a) > $o]:
31.73/32.00	      (X18(x, u, u)
31.73/32.00	       | sk_Xa(X18) = cP(sk_Xx1(X18), sk_Xx2(X18))
31.73/32.00	       | sk_Xb(X18) = cZ
31.73/32.00	       | sk_Xb(X18) = sk_Xc(X18)),
31.73/32.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
31.73/32.00	tff('196', plain,
31.73/32.01	    ![X0 : (a * a * a) > $o]:
31.73/32.01	      (sk_Xa(X0) != cZ | sk_Xb(X0) = sk_Xc(X0) | sk_Xb(X0) = cZ | X0(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['195', '1'])).
31.73/32.01	tff('197', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['196', '15'])).
31.73/32.01	tff('198', plain,
31.73/32.01	    (sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['197'])).
31.73/32.01	tff('199', plain,
31.73/32.01	    (sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | cZ != cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['198', '192'])).
31.73/32.01	tff('200', plain,
31.73/32.01	    (sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['199'])).
31.73/32.01	tff('201', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['196', '34'])).
31.73/32.01	tff('202', plain,
31.73/32.01	    (sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['201'])).
31.73/32.01	tff('203', plain,
31.73/32.01	    (sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | cZ != cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['202', '192'])).
31.73/32.01	tff('204', plain,
31.73/32.01	    (sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['203'])).
31.73/32.01	tff('205', plain,
31.73/32.01	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['204', '46'])).
31.73/32.01	tff('206', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_R(x, u, u)),
31.73/32.01	    inference('demod', [status(thm)], ['205', '192', '104'])).
31.73/32.01	tff('207', plain,
31.73/32.01	    (sk_R(x, u, u) | sk_Xb(sk_R) = cZ | sk_Xa1(sk_R) = cZ | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['206'])).
31.73/32.01	tff('208', plain, (sk_Xb1(sk_R) = cZ | sk_Xa1(sk_R) = cZ | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('clc', [status(thm)], ['207', '34'])).
31.73/32.01	tff('209', plain,
31.73/32.01	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xc1(sk_R))
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_R(y, v, v)),
31.73/32.01	    inference('sup-', [status(thm)], ['208', '29'])).
31.73/32.01	tff('210', plain,
31.73/32.01	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_R(y, v, v)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['200', '209'])).
31.73/32.01	tff('211', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_R(y, v, v)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['210', '57'])).
31.73/32.01	tff('212', plain,
31.73/32.01	    (sk_R(y, v, v)
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['211'])).
31.73/32.01	tff('213', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | ~ sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['212', '9'])).
31.73/32.01	tff('214', plain,
31.73/32.01	    (~ sk_R(x, u, u)
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['213'])).
31.73/32.01	tff('215', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['196', '214'])).
31.73/32.01	tff('216', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ != cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['215', '192'])).
31.73/32.01	tff('217', plain,
31.73/32.01	    (sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['216'])).
31.73/32.01	tff('218', plain,
31.73/32.01	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['217', '46'])).
31.73/32.01	tff('219', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_R(x, u, u)),
31.73/32.01	    inference('demod', [status(thm)], ['218', '192', '104'])).
31.73/32.01	tff('220', plain,
31.73/32.01	    (sk_R(x, u, u)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['219'])).
31.73/32.01	tff('221', plain, (sk_Xb(sk_R) = cZ | sk_Xa1(sk_R) = cZ | sk_R(x, u, u)),
31.73/32.01	    inference('clc', [status(thm)], ['220', '208'])).
31.73/32.01	tff('222', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['221', '15'])).
31.73/32.01	tff('223', plain,
31.73/32.01	    (sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['222'])).
31.73/32.01	tff('224', plain,
31.73/32.01	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_R(y, v, v)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['223', '209'])).
31.73/32.01	tff('225', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_R(y, v, v)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['224', '57'])).
31.73/32.01	tff('226', plain,
31.73/32.01	    (sk_R(y, v, v)
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['225'])).
31.73/32.01	tff('227', plain, (sk_Xa1(sk_R) = cZ | sk_Xb(sk_R) = cZ | sk_R(y, v, v)),
31.73/32.01	    inference('clc', [status(thm)], ['226', '208'])).
31.73/32.01	tff('228', plain,
31.73/32.01	    (~ $true | sk_Xb(sk_R) = cZ | sk_Xa1(sk_R) = cZ | ~ sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['227', '9'])).
31.73/32.01	tff('229', plain, (~ sk_R(x, u, u) | sk_Xa1(sk_R) = cZ | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['228'])).
31.73/32.01	tff('230', plain, (sk_Xb(sk_R) = cZ | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('clc', [status(thm)], ['229', '221'])).
31.73/32.01	tff('231', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['2', '34'])).
31.73/32.01	tff('232', plain,
31.73/32.01	    (sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.01	    inference('simplify', [status(thm)], ['231'])).
31.73/32.01	tff('233', plain,
31.73/32.01	    (sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | cZ != cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('demod', [status(thm)], ['232', '192', '192'])).
31.73/32.01	tff('234', plain,
31.73/32.01	    (cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['233'])).
31.73/32.01	tff('235', plain,
31.73/32.01	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['234', '46'])).
31.73/32.01	tff('236', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_R(x, u, u)),
31.73/32.01	    inference('demod', [status(thm)], ['235', '192', '104'])).
31.73/32.01	tff('237', plain,
31.73/32.01	    (sk_R(x, u, u) | cZ = sk_Xc(sk_R) | sk_Xa1(sk_R) = cZ | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['236'])).
31.73/32.01	tff('238', plain, (sk_Xb1(sk_R) = cZ | sk_Xa1(sk_R) = cZ | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('clc', [status(thm)], ['237', '34'])).
31.73/32.01	tff('239', plain,
31.73/32.01	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cZ)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['238', '46'])).
31.73/32.01	tff('240', plain,
31.73/32.01	    (~ sk_R(cZ, sk_Xb(sk_R), cZ)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_R(x, u, u)),
31.73/32.01	    inference('demod', [status(thm)], ['239', '192'])).
31.73/32.01	tff('241', plain,
31.73/32.01	    (sk_Xb1(sk_R) = cZ | sk_Xa1(sk_R) = cZ | ~ sk_R(cZ, sk_Xb(sk_R), cZ)),
31.73/32.01	    inference('clc', [status(thm)], ['240', '34'])).
31.73/32.01	tff('242', plain,
31.73/32.01	    (~ sk_R(cZ, cZ, cZ)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['230', '241'])).
31.73/32.01	tff('243', plain,
31.73/32.01	    (~ $true | sk_Xa1(sk_R) = cZ | sk_Xa1(sk_R) = cZ | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['242', '104'])).
31.73/32.01	tff('244', plain, (sk_Xb1(sk_R) = cZ | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['243'])).
31.73/32.01	tff('245', plain,
31.73/32.01	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xc1(sk_R))
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_R(y, v, v)),
31.73/32.01	    inference('sup-', [status(thm)], ['244', '29'])).
31.73/32.01	tff('246', plain,
31.73/32.01	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_R(y, v, v)
31.73/32.01	     | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['194', '245'])).
31.73/32.01	tff('247', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_R(y, v, v)
31.73/32.01	     | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['246', '57'])).
31.73/32.01	tff('248', plain,
31.73/32.01	    (sk_R(y, v, v)
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['247'])).
31.73/32.01	tff('249', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | ~ sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['248', '9'])).
31.73/32.01	tff('250', plain,
31.73/32.01	    (~ sk_R(x, u, u)
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['249'])).
31.73/32.01	tff('251', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('sup-', [status(thm)], ['2', '250'])).
31.73/32.01	tff('252', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ != cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('demod', [status(thm)], ['251', '192', '192'])).
31.73/32.01	tff('253', plain,
31.73/32.01	    (sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('simplify', [status(thm)], ['252'])).
31.73/32.01	tff('254', plain,
31.73/32.01	    (sk_Xb(sk_R) != cZ
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('eq_fact', [status(thm)], ['253'])).
31.73/32.01	tff('255', plain,
31.73/32.01	    (~ sk_R(sk_Xa(sk_R), cZ, sk_Xc(sk_R)) | sk_Xa1(sk_R) = cZ | sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['230', '46'])).
31.73/32.01	tff('256', plain,
31.73/32.01	    (~ sk_R(cZ, cZ, sk_Xc(sk_R)) | sk_Xa1(sk_R) = cZ | sk_R(x, u, u)),
31.73/32.01	    inference('demod', [status(thm)], ['255', '192'])).
31.73/32.01	tff('257', plain,
31.73/32.01	    (~ sk_R(cZ, cZ, cZ)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) != cZ
31.73/32.01	     | sk_R(x, u, u)
31.73/32.01	     | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['254', '256'])).
31.73/32.01	tff('258', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) != cZ
31.73/32.01	     | sk_R(x, u, u)
31.73/32.01	     | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['257', '104'])).
31.73/32.01	tff('259', plain,
31.73/32.01	    (sk_R(x, u, u)
31.73/32.01	     | sk_Xb(sk_R) != cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['258'])).
31.73/32.01	tff('260', plain, (sk_Xa1(sk_R) = cZ | sk_Xb1(sk_R) != cZ | sk_R(x, u, u)),
31.73/32.01	    inference('clc', [status(thm)], ['259', '230'])).
31.73/32.01	tff('261', plain, (sk_R(x, u, u) | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('clc', [status(thm)], ['260', '244'])).
31.73/32.01	tff('262', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['261', '15'])).
31.73/32.01	tff('263', plain,
31.73/32.01	    (sk_Xb1(sk_R) != cZ | sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['262'])).
31.73/32.01	tff('264', plain, (sk_Xa1(sk_R) = cZ | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
31.73/32.01	    inference('clc', [status(thm)], ['263', '244'])).
31.73/32.01	tff('265', plain,
31.73/32.01	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
31.73/32.01	     | sk_Xa1(sk_R) = cZ
31.73/32.01	     | sk_R(y, v, v)
31.73/32.01	     | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['264', '245'])).
31.73/32.01	tff('266', plain,
31.73/32.01	    (~ $true | sk_Xa1(sk_R) = cZ | sk_R(y, v, v) | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['265', '57'])).
31.73/32.01	tff('267', plain, (sk_R(y, v, v) | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['266'])).
31.73/32.01	tff('268', plain, (~ $true | sk_Xa1(sk_R) = cZ | ~ sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['267', '9'])).
31.73/32.01	tff('269', plain, (~ sk_R(x, u, u) | sk_Xa1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['268'])).
31.73/32.01	tff('270', plain, sk_Xa1(sk_R) = cZ,
31.73/32.01	    inference('clc', [status(thm)], ['269', '261'])).
31.73/32.01	tff('271', plain,
31.73/32.01	    (~ sk_R(x, u, u)
31.73/32.01	     | cZ != cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | cZ = sk_Xc1(sk_R)),
31.73/32.01	    inference('demod', [status(thm)], ['11', '270', '270'])).
31.73/32.01	tff('272', plain,
31.73/32.01	    (cZ = sk_Xc1(sk_R) | sk_Xb1(sk_R) = sk_Xc1(sk_R) | ~ sk_R(x, u, u)),
31.73/32.01	    inference('simplify', [status(thm)], ['271'])).
31.73/32.01	tff('273', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) != cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['2', '114'])).
31.73/32.01	tff('274', plain,
31.73/32.01	    (sk_Xa1(sk_R) != cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
31.73/32.01	    inference('simplify', [status(thm)], ['273'])).
31.73/32.01	tff('275', plain,
31.73/32.01	    (sk_Xa1(sk_R) != cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | cZ != cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('demod', [status(thm)], ['274', '192', '192'])).
31.73/32.01	tff('276', plain,
31.73/32.01	    (cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) != cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['275'])).
31.73/32.01	tff('277', plain,
31.73/32.01	    (cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | cZ != cZ),
31.73/32.01	    inference('demod', [status(thm)], ['276', '270'])).
31.73/32.01	tff('278', plain,
31.73/32.01	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('simplify', [status(thm)], ['277'])).
31.73/32.01	tff('279', plain,
31.73/32.01	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_R(y, v, v)),
31.73/32.01	    inference('sup-', [status(thm)], ['278', '29'])).
31.73/32.01	tff('280', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_R(y, v, v)),
31.73/32.01	    inference('demod', [status(thm)], ['279', '270', '104'])).
31.73/32.01	tff('281', plain,
31.73/32.01	    (sk_R(y, v, v)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('simplify', [status(thm)], ['280'])).
31.73/32.01	tff('282', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | ~ sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['281', '9'])).
31.73/32.01	tff('283', plain,
31.73/32.01	    (~ sk_R(x, u, u)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('simplify', [status(thm)], ['282'])).
31.73/32.01	tff('284', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['2', '283'])).
31.73/32.01	tff('285', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ != cZ
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['284', '192', '192'])).
31.73/32.01	tff('286', plain,
31.73/32.01	    (sk_Xb1(sk_R) = cZ | sk_Xb(sk_R) = sk_Xc(sk_R) | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('simplify', [status(thm)], ['285'])).
31.73/32.01	tff('287', plain, (sk_Xb(sk_R) != cZ | cZ = sk_Xc(sk_R) | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('eq_fact', [status(thm)], ['286'])).
31.73/32.01	tff('288', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) != cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['196', '114'])).
31.73/32.01	tff('289', plain,
31.73/32.01	    (sk_Xa1(sk_R) != cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['288'])).
31.73/32.01	tff('290', plain,
31.73/32.01	    (sk_Xa1(sk_R) != cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | cZ != cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['289', '192'])).
31.73/32.01	tff('291', plain,
31.73/32.01	    (sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xa1(sk_R) != cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['290'])).
31.73/32.01	tff('292', plain,
31.73/32.01	    (sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | cZ != cZ),
31.73/32.01	    inference('demod', [status(thm)], ['291', '270'])).
31.73/32.01	tff('293', plain,
31.73/32.01	    (sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['292'])).
31.73/32.01	tff('294', plain,
31.73/32.01	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_R(y, v, v)),
31.73/32.01	    inference('sup-', [status(thm)], ['293', '29'])).
31.73/32.01	tff('295', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_R(y, v, v)),
31.73/32.01	    inference('demod', [status(thm)], ['294', '270', '104'])).
31.73/32.01	tff('296', plain,
31.73/32.01	    (sk_R(y, v, v)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['295'])).
31.73/32.01	tff('297', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | ~ sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['296', '9'])).
31.73/32.01	tff('298', plain,
31.73/32.01	    (~ sk_R(x, u, u)
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['297'])).
31.73/32.01	tff('299', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['196', '298'])).
31.73/32.01	tff('300', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ != cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['299', '192'])).
31.73/32.01	tff('301', plain,
31.73/32.01	    (sk_Xb1(sk_R) = cZ | sk_Xb(sk_R) = sk_Xc(sk_R) | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['300'])).
31.73/32.01	tff('302', plain,
31.73/32.01	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['301', '46'])).
31.73/32.01	tff('303', plain,
31.73/32.01	    (~ $true | sk_Xb(sk_R) = cZ | sk_Xb1(sk_R) = cZ | sk_R(x, u, u)),
31.73/32.01	    inference('demod', [status(thm)], ['302', '192', '104'])).
31.73/32.01	tff('304', plain, (sk_R(x, u, u) | sk_Xb1(sk_R) = cZ | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['303'])).
31.73/32.01	tff('305', plain,
31.73/32.01	    (~ sk_R(x, u, u)
31.73/32.01	     | cZ != cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['114', '270'])).
31.73/32.01	tff('306', plain,
31.73/32.01	    (sk_Xb1(sk_R) = cZ | sk_Xb1(sk_R) = sk_Xc1(sk_R) | ~ sk_R(x, u, u)),
31.73/32.01	    inference('simplify', [status(thm)], ['305'])).
31.73/32.01	tff('307', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['304', '306'])).
31.73/32.01	tff('308', plain,
31.73/32.01	    (sk_Xb1(sk_R) = sk_Xc1(sk_R) | sk_Xb1(sk_R) = cZ | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['307'])).
31.73/32.01	tff('309', plain,
31.73/32.01	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_R(y, v, v)),
31.73/32.01	    inference('sup-', [status(thm)], ['308', '29'])).
31.73/32.01	tff('310', plain,
31.73/32.01	    (~ $true | sk_Xb(sk_R) = cZ | sk_Xb1(sk_R) = cZ | sk_R(y, v, v)),
31.73/32.01	    inference('demod', [status(thm)], ['309', '270', '104'])).
31.73/32.01	tff('311', plain, (sk_R(y, v, v) | sk_Xb1(sk_R) = cZ | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['310'])).
31.73/32.01	tff('312', plain,
31.73/32.01	    (~ $true | sk_Xb(sk_R) = cZ | sk_Xb1(sk_R) = cZ | ~ sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['311', '9'])).
31.73/32.01	tff('313', plain, (~ sk_R(x, u, u) | sk_Xb1(sk_R) = cZ | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['312'])).
31.73/32.01	tff('314', plain, (sk_Xb(sk_R) = cZ | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('clc', [status(thm)], ['313', '304'])).
31.73/32.01	tff('315', plain, (sk_Xb1(sk_R) = cZ | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('clc', [status(thm)], ['287', '314'])).
31.73/32.01	tff('316', plain,
31.73/32.01	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cZ) | sk_Xb1(sk_R) = cZ | sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['315', '46'])).
31.73/32.01	tff('317', plain,
31.73/32.01	    (~ sk_R(cZ, sk_Xb(sk_R), cZ) | sk_Xb1(sk_R) = cZ | sk_R(x, u, u)),
31.73/32.01	    inference('demod', [status(thm)], ['316', '192'])).
31.73/32.01	tff('318', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | cZ = sk_Xc1(sk_R)),
31.73/32.01	    inference('sup-', [status(thm)], ['196', '272'])).
31.73/32.01	tff('319', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ != cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | cZ = sk_Xc1(sk_R)),
31.73/32.01	    inference('demod', [status(thm)], ['318', '192'])).
31.73/32.01	tff('320', plain,
31.73/32.01	    (cZ = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['319'])).
31.73/32.01	tff('321', plain,
31.73/32.01	    (sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ = sk_Xc1(sk_R)),
31.73/32.01	    inference('eq_fact', [status(thm)], ['320'])).
31.73/32.01	tff('322', plain,
31.73/32.01	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xc1(sk_R))
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_R(y, v, v)),
31.73/32.01	    inference('sup-', [status(thm)], ['314', '29'])).
31.73/32.01	tff('323', plain,
31.73/32.01	    (~ sk_R(cZ, cZ, sk_Xc1(sk_R)) | sk_Xb(sk_R) = cZ | sk_R(y, v, v)),
31.73/32.01	    inference('demod', [status(thm)], ['322', '270'])).
31.73/32.01	tff('324', plain,
31.73/32.01	    (~ sk_R(cZ, cZ, cZ)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_R(y, v, v)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['321', '323'])).
31.73/32.01	tff('325', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_R(y, v, v)
31.73/32.01	     | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['324', '104'])).
31.73/32.01	tff('326', plain,
31.73/32.01	    (sk_R(y, v, v)
31.73/32.01	     | sk_Xb1(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
31.73/32.01	    inference('simplify', [status(thm)], ['325'])).
31.73/32.01	tff('327', plain,
31.73/32.01	    (sk_Xb(sk_R) = sk_Xc(sk_R) | sk_Xb(sk_R) = cZ | sk_R(y, v, v)),
31.73/32.01	    inference('clc', [status(thm)], ['326', '314'])).
31.73/32.01	tff('328', plain,
31.73/32.01	    (~ $true | sk_Xb(sk_R) = cZ | sk_Xb(sk_R) = sk_Xc(sk_R) | ~ sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['327', '9'])).
31.73/32.01	tff('329', plain,
31.73/32.01	    (~ sk_R(x, u, u) | sk_Xb(sk_R) = sk_Xc(sk_R) | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['328'])).
31.73/32.01	tff('330', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
31.73/32.01	    inference('sup-', [status(thm)], ['196', '329'])).
31.73/32.01	tff('331', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | cZ != cZ
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
31.73/32.01	    inference('demod', [status(thm)], ['330', '192'])).
31.73/32.01	tff('332', plain, (sk_Xb(sk_R) = sk_Xc(sk_R) | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['331'])).
31.73/32.01	tff('333', plain,
31.73/32.01	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['332', '46'])).
31.73/32.01	tff('334', plain, (~ $true | sk_Xb(sk_R) = cZ | sk_R(x, u, u)),
31.73/32.01	    inference('demod', [status(thm)], ['333', '192', '104'])).
31.73/32.01	tff('335', plain, (sk_R(x, u, u) | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['334'])).
31.73/32.01	tff('336', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | cZ = sk_Xc1(sk_R)),
31.73/32.01	    inference('sup-', [status(thm)], ['335', '272'])).
31.73/32.01	tff('337', plain,
31.73/32.01	    (cZ = sk_Xc1(sk_R) | sk_Xb1(sk_R) = sk_Xc1(sk_R) | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['336'])).
31.73/32.01	tff('338', plain,
31.73/32.01	    (sk_Xb1(sk_R) != cZ | sk_Xb(sk_R) = cZ | cZ = sk_Xc1(sk_R)),
31.73/32.01	    inference('eq_fact', [status(thm)], ['337'])).
31.73/32.01	tff('339', plain, (cZ = sk_Xc1(sk_R) | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('clc', [status(thm)], ['338', '314'])).
31.73/32.01	tff('340', plain,
31.73/32.01	    (~ sk_R(cZ, cZ, cZ) | sk_Xb(sk_R) = cZ | sk_R(y, v, v) | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['339', '323'])).
31.73/32.01	tff('341', plain,
31.73/32.01	    (~ $true | sk_Xb(sk_R) = cZ | sk_R(y, v, v) | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('demod', [status(thm)], ['340', '104'])).
31.73/32.01	tff('342', plain, (sk_R(y, v, v) | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['341'])).
31.73/32.01	tff('343', plain, (~ $true | sk_Xb(sk_R) = cZ | ~ sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['342', '9'])).
31.73/32.01	tff('344', plain, (~ sk_R(x, u, u) | sk_Xb(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['343'])).
31.73/32.01	tff('345', plain, sk_Xb(sk_R) = cZ,
31.73/32.01	    inference('clc', [status(thm)], ['344', '335'])).
31.73/32.01	tff('346', plain, (~ $true | sk_Xb1(sk_R) = cZ | sk_R(x, u, u)),
31.73/32.01	    inference('demod', [status(thm)], ['317', '345', '104'])).
31.73/32.01	tff('347', plain, (sk_R(x, u, u) | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['346'])).
31.73/32.01	tff('348', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
31.73/32.01	     | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('sup-', [status(thm)], ['347', '306'])).
31.73/32.01	tff('349', plain, (sk_Xb1(sk_R) = sk_Xc1(sk_R) | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['348'])).
31.73/32.01	tff('350', plain,
31.73/32.01	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
31.73/32.01	     | sk_Xb1(sk_R) = cZ
31.73/32.01	     | sk_R(y, v, v)),
31.73/32.01	    inference('sup-', [status(thm)], ['349', '29'])).
31.73/32.01	tff('351', plain, (~ $true | sk_Xb1(sk_R) = cZ | sk_R(y, v, v)),
31.73/32.01	    inference('demod', [status(thm)], ['350', '270', '104'])).
31.73/32.01	tff('352', plain, (sk_R(y, v, v) | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['351'])).
31.73/32.01	tff('353', plain, (~ $true | sk_Xb1(sk_R) = cZ | ~ sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['352', '9'])).
31.73/32.01	tff('354', plain, (~ sk_R(x, u, u) | sk_Xb1(sk_R) = cZ),
31.73/32.01	    inference('simplify', [status(thm)], ['353'])).
31.73/32.01	tff('355', plain, sk_Xb1(sk_R) = cZ,
31.73/32.01	    inference('clc', [status(thm)], ['354', '347'])).
31.73/32.01	tff('356', plain, (cZ = sk_Xc1(sk_R) | cZ = sk_Xc1(sk_R) | ~ sk_R(x, u, u)),
31.73/32.01	    inference('demod', [status(thm)], ['272', '355'])).
31.73/32.01	tff('357', plain, (~ sk_R(x, u, u) | cZ = sk_Xc1(sk_R)),
31.73/32.01	    inference('simplify', [status(thm)], ['356'])).
31.73/32.01	tff('358', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | cZ = sk_Xc1(sk_R)),
31.73/32.01	    inference('sup-', [status(thm)], ['2', '357'])).
31.73/32.01	tff('359', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | cZ != cZ
31.73/32.01	     | cZ = sk_Xc1(sk_R)),
31.73/32.01	    inference('demod', [status(thm)], ['358', '192', '345', '192'])).
31.73/32.01	tff('360', plain, (cZ = sk_Xc1(sk_R) | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('simplify', [status(thm)], ['359'])).
31.73/32.01	tff('361', plain,
31.73/32.01	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cZ)
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | sk_R(y, v, v)),
31.73/32.01	    inference('sup-', [status(thm)], ['360', '29'])).
31.73/32.01	tff('362', plain, (~ $true | cZ = sk_Xc(sk_R) | sk_R(y, v, v)),
31.73/32.01	    inference('demod', [status(thm)], ['361', '270', '355', '104'])).
31.73/32.01	tff('363', plain, (sk_R(y, v, v) | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('simplify', [status(thm)], ['362'])).
31.73/32.01	tff('364', plain, (~ $true | cZ = sk_Xc(sk_R) | ~ sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['363', '9'])).
31.73/32.01	tff('365', plain, (~ sk_R(x, u, u) | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('simplify', [status(thm)], ['364'])).
31.73/32.01	tff('366', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | sk_Xa(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xb(sk_R) = sk_Xc(sk_R)
31.73/32.01	     | sk_Xa(sk_R) != cZ
31.73/32.01	     | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('sup-', [status(thm)], ['2', '365'])).
31.73/32.01	tff('367', plain,
31.73/32.01	    (~ $true
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | cZ = sk_Xc(sk_R)
31.73/32.01	     | cZ != cZ
31.73/32.01	     | cZ = sk_Xc(sk_R)),
31.73/32.01	    inference('demod', [status(thm)], ['366', '192', '345', '192'])).
31.73/32.01	tff('368', plain, cZ = sk_Xc(sk_R),
31.73/32.01	    inference('simplify', [status(thm)], ['367'])).
31.73/32.01	tff('369', plain, (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cZ) | sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['368', '46'])).
31.73/32.01	tff('370', plain, (~ $true | sk_R(x, u, u)),
31.73/32.01	    inference('demod', [status(thm)], ['369', '192', '345', '104'])).
31.73/32.01	tff('371', plain, sk_R(x, u, u),
31.73/32.01	    inference('simplify', [status(thm)], ['370'])).
31.73/32.01	tff('372', plain, (~ $true | cZ = sk_Xc1(sk_R)),
31.73/32.01	    inference('sup-', [status(thm)], ['371', '357'])).
31.73/32.01	tff('373', plain, cZ = sk_Xc1(sk_R),
31.73/32.01	    inference('simplify', [status(thm)], ['372'])).
31.73/32.01	tff('374', plain, (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cZ) | sk_R(y, v, v)),
31.73/32.01	    inference('sup-', [status(thm)], ['373', '29'])).
31.73/32.01	tff('375', plain, (~ $true | sk_R(y, v, v)),
31.73/32.01	    inference('demod', [status(thm)], ['374', '270', '355', '104'])).
31.73/32.01	tff('376', plain, sk_R(y, v, v),
31.73/32.01	    inference('simplify', [status(thm)], ['375'])).
31.73/32.01	tff('377', plain, (~ $true | ~ sk_R(x, u, u)),
31.73/32.01	    inference('sup-', [status(thm)], ['376', '9'])).
31.73/32.01	tff('378', plain, (~ $true | ~ $true),
31.73/32.01	    inference('demod', [status(thm)], ['377', '371'])).
31.73/32.01	tff('379', plain, $false, inference('simplify', [status(thm)], ['378'])).
31.73/32.01	
31.73/32.01	% SZS output end Refutation
31.73/32.01	EOF
