0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n120.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:00:09 CST 2018
147.10/147.37	% done 16341 iterations in 147.172s
147.10/147.37	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
147.10/147.37	% SZS output start Refutation
147.10/147.38	tff(cS_LEM1E_pme, conjecture,
147.10/147.38	  (((![X:(a > $o)]:
147.10/147.38	       (((![Xx0:a,Xy0:a]: ((X(Xy0) & X(Xx0)) => X(cP(Xx0,Xy0)))) & X(cZ)) =>
147.10/147.38	        (![Xx0:a]: X(Xx0)))) & 
147.10/147.38	    (![Xx0:a,Xy0:a,Xu0:a,Xv0:a]:
147.10/147.38	       ((cP(Xx0,Xu0) = cP(Xy0,Xv0)) => ((Xu0 = Xv0) & (Xx0 = Xy0)))) & 
147.10/147.38	    (![Xx0:a,Xy0:a]: (cP(Xx0,Xy0) != cZ))) =>
147.10/147.38	   ((![R:((a * a * a) > $o)]:
147.10/147.38	       ((![Xa:a,Xb:a,Xc:a]:
147.10/147.38	           (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
147.10/147.38	                (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
147.10/147.38	                 (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
147.10/147.38	             ((Xa = Xc) & (Xb = cZ)) | ((Xb = Xc) & (Xa = cZ))) =>
147.10/147.38	            R(Xa,Xb,Xc))) =>
147.10/147.38	        R(x,u,u))) =>
147.10/147.38	    ((![R:((a * a * a) > $o)]:
147.10/147.38	        ((![Xa:a,Xb:a,Xc:a]:
147.10/147.38	            (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
147.10/147.38	                 (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
147.10/147.38	                  (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
147.10/147.38	              ((Xa = Xc) & (Xb = cZ)) | ((Xb = Xc) & (Xa = cZ))) =>
147.10/147.38	             R(Xa,Xb,Xc))) =>
147.10/147.38	         R(y,v,v))) =>
147.10/147.38	     (![R:((a * a * a) > $o)]:
147.10/147.38	        ((![Xa:a,Xb:a,Xc:a]:
147.10/147.38	            (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
147.10/147.38	                 (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
147.10/147.38	                  (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
147.10/147.38	              ((Xa = Xc) & (Xb = cZ)) | ((Xb = Xc) & (Xa = cZ))) =>
147.10/147.38	             R(Xa,Xb,Xc))) =>
147.10/147.38	         R(cP(x,y),cP(u,v),cP(u,v)))))))).
147.10/147.38	tff(zf_stmt_0, negated_conjecture,
147.10/147.38	  (~
147.10/147.38	    (((![X:(a > $o)]:
147.10/147.38	         (((![Xx0:a,Xy0:a]: ((X(Xy0) & X(Xx0)) => X(cP(Xx0,Xy0)))) & X(cZ)) =>
147.10/147.38	          (![Xx0:a]: X(Xx0)))) & 
147.10/147.38	      (![Xx0:a,Xy0:a,Xu0:a,Xv0:a]:
147.10/147.38	         ((cP(Xx0,Xu0) = cP(Xy0,Xv0)) => ((Xu0 = Xv0) & (Xx0 = Xy0)))) & 
147.10/147.38	      (![Xx0:a,Xy0:a]: (cP(Xx0,Xy0) != cZ))) =>
147.10/147.38	     ((![R:((a * a * a) > $o)]:
147.10/147.38	         ((![Xa:a,Xb:a,Xc:a]:
147.10/147.38	             (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
147.10/147.38	                  (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
147.10/147.38	                   (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
147.10/147.38	               ((Xa = Xc) & (Xb = cZ)) | ((Xb = Xc) & (Xa = cZ))) =>
147.10/147.38	              R(Xa,Xb,Xc))) =>
147.10/147.38	          R(x,u,u))) =>
147.10/147.38	      ((![R:((a * a * a) > $o)]:
147.10/147.38	          ((![Xa:a,Xb:a,Xc:a]:
147.10/147.38	              (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
147.10/147.38	                   (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
147.10/147.38	                    (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
147.10/147.38	                ((Xa = Xc) & (Xb = cZ)) | ((Xb = Xc) & (Xa = cZ))) =>
147.10/147.38	               R(Xa,Xb,Xc))) =>
147.10/147.38	           R(y,v,v))) =>
147.10/147.38	       (![R:((a * a * a) > $o)]:
147.10/147.38	          ((![Xa:a,Xb:a,Xc:a]:
147.10/147.38	              (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
147.10/147.38	                   (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
147.10/147.38	                    (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
147.10/147.38	                ((Xa = Xc) & (Xb = cZ)) | ((Xb = Xc) & (Xa = cZ))) =>
147.10/147.38	               R(Xa,Xb,Xc))) =>
147.10/147.38	           R(cP(x,y),cP(u,v),cP(u,v))))))))).
147.10/147.38	tff('0', plain,
147.10/147.38	    ![X18 : (a * a * a) > $o]:
147.10/147.38	      (X18(x, u, u)
147.10/147.38	       | sk_Xc(X18) = cP(sk_Xz1(X18), sk_Xz2(X18))
147.10/147.38	       | sk_Xb(X18) = cZ
147.10/147.38	       | sk_Xa(X18) = cZ),
147.10/147.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.38	tff('1', plain,
147.10/147.38	    ![X8 : (a * a * a) > $o]:
147.10/147.38	      (X8(y, v, v)
147.10/147.38	       | sk_Xc1(X8) = cP(sk_Xz11(X8), sk_Xz21(X8))
147.10/147.38	       | sk_Xb1(X8) = cZ
147.10/147.38	       | sk_Xa1(X8) = cZ),
147.10/147.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.38	tff('2', plain,
147.10/147.38	    ![X9 : a, X10 : a, X11 : a, X12 : a, X13 : a, X14 : a, X15 : a, X16 : a, 
147.10/147.38	      X17 : a]:
147.10/147.38	      (sk_R(X9, X10, X11)
147.10/147.38	       | ~ sk_R(X12, X13, X14)
147.10/147.38	       | X10 != cP(X13, X15)
147.10/147.38	       | X9 != cP(X12, X16)
147.10/147.38	       | X11 != cP(X14, X17)
147.10/147.38	       | ~ sk_R(X16, X15, X17)),
147.10/147.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.38	tff('3', plain,
147.10/147.38	    ![X12 : a, X13 : a, X14 : a, X15 : a, X16 : a, X17 : a]:
147.10/147.38	      (~ sk_R(X16, X15, X17)
147.10/147.38	       | ~ sk_R(X12, X13, X14)
147.10/147.38	       | sk_R(cP(X12, X16), cP(X13, X15), cP(X14, X17))),
147.10/147.38	    inference('simplify', [status(thm)], ['2'])).
147.10/147.38	tff('4', plain, ~ sk_R(cP(x, y), cP(u, v), cP(u, v)),
147.10/147.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.38	tff('5', plain, (~ $true | ~ sk_R(x, u, u) | ~ sk_R(y, v, v)),
147.10/147.38	    inference('sup-', [status(thm)], ['3', '4'])).
147.10/147.38	tff('6', plain, (~ sk_R(y, v, v) | ~ sk_R(x, u, u)),
147.10/147.38	    inference('simplify', [status(thm)], ['5'])).
147.10/147.38	tff('7', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
147.10/147.38	     | ~ sk_R(x, u, u)),
147.10/147.38	    inference('sup-', [status(thm)], ['1', '6'])).
147.10/147.38	tff('8', plain,
147.10/147.38	    (~ sk_R(x, u, u)
147.10/147.38	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['7'])).
147.10/147.38	tff('9', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
147.10/147.38	    inference('sup-', [status(thm)], ['0', '8'])).
147.10/147.38	tff('10', plain,
147.10/147.38	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['9'])).
147.10/147.38	tff('11', plain,
147.10/147.38	    ![X18 : (a * a * a) > $o]:
147.10/147.38	      (X18(x, u, u)
147.10/147.38	       | sk_Xb(X18) = cP(sk_Xy1(X18), sk_Xy2(X18))
147.10/147.38	       | sk_Xb(X18) = cZ
147.10/147.38	       | sk_Xa(X18) = cZ),
147.10/147.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.38	tff('12', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
147.10/147.38	    inference('sup-', [status(thm)], ['11', '8'])).
147.10/147.38	tff('13', plain,
147.10/147.38	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['12'])).
147.10/147.38	tff('14', plain,
147.10/147.38	    ![X8 : (a * a * a) > $o]:
147.10/147.38	      (X8(y, v, v)
147.10/147.38	       | sk_Xb1(X8) = cP(sk_Xy11(X8), sk_Xy21(X8))
147.10/147.38	       | sk_Xb1(X8) = cZ
147.10/147.38	       | sk_Xa1(X8) = cZ),
147.10/147.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.38	tff('15', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.38	     | ~ sk_R(x, u, u)),
147.10/147.38	    inference('sup-', [status(thm)], ['14', '6'])).
147.10/147.38	tff('16', plain,
147.10/147.38	    (~ sk_R(x, u, u)
147.10/147.38	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['15'])).
147.10/147.38	tff('17', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
147.10/147.38	    inference('sup-', [status(thm)], ['11', '16'])).
147.10/147.38	tff('18', plain,
147.10/147.38	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['17'])).
147.10/147.38	tff('19', plain,
147.10/147.38	    ![X8 : (a * a * a) > $o]:
147.10/147.38	      (X8(y, v, v)
147.10/147.38	       | X8(sk_Xx21(X8), sk_Xy21(X8), sk_Xz21(X8))
147.10/147.38	       | sk_Xb1(X8) = cZ
147.10/147.38	       | sk_Xa1(X8) = cZ),
147.10/147.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.38	tff('20', plain,
147.10/147.38	    ![X8 : (a * a * a) > $o]:
147.10/147.38	      (X8(y, v, v)
147.10/147.38	       | X8(sk_Xx11(X8), sk_Xy11(X8), sk_Xz11(X8))
147.10/147.38	       | sk_Xb1(X8) = cZ
147.10/147.38	       | sk_Xa1(X8) = cZ),
147.10/147.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.38	tff('21', plain,
147.10/147.38	    ![X8 : (a * a * a) > $o]:
147.10/147.38	      (X8(y, v, v)
147.10/147.38	       | sk_Xa1(X8) = cP(sk_Xx11(X8), sk_Xx21(X8))
147.10/147.38	       | sk_Xb1(X8) = cZ
147.10/147.38	       | sk_Xa1(X8) = cZ),
147.10/147.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.38	tff('22', plain,
147.10/147.38	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
147.10/147.38	      (sk_R(sk_Xa1(X0), cP(X4, X3), cP(X2, X1))
147.10/147.38	       | sk_Xa1(X0) = cZ
147.10/147.38	       | sk_Xb1(X0) = cZ
147.10/147.38	       | X0(y, v, v)
147.10/147.38	       | ~ sk_R(sk_Xx11(X0), X4, X2)
147.10/147.38	       | ~ sk_R(sk_Xx21(X0), X3, X1)),
147.10/147.38	    inference('sup+', [status(thm)], ['21', '3'])).
147.10/147.38	tff('23', plain,
147.10/147.38	    ![X0 : a, X1 : a]:
147.10/147.38	      (~ $true
147.10/147.38	       | sk_Xa1(sk_R) = cZ
147.10/147.38	       | sk_Xb1(sk_R) = cZ
147.10/147.38	       | sk_R(y, v, v)
147.10/147.38	       | ~ sk_R(sk_Xx21(sk_R), X1, X0)
147.10/147.38	       | sk_R(y, v, v)
147.10/147.38	       | sk_Xb1(sk_R) = cZ
147.10/147.38	       | sk_Xa1(sk_R) = cZ
147.10/147.38	       | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), X1), cP(sk_Xz11(sk_R), X0))),
147.10/147.38	    inference('sup-', [status(thm)], ['20', '22'])).
147.10/147.38	tff('24', plain,
147.10/147.38	    ![X0 : a, X1 : a]:
147.10/147.38	      (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), X1), cP(sk_Xz11(sk_R), X0))
147.10/147.38	       | ~ sk_R(sk_Xx21(sk_R), X1, X0)
147.10/147.38	       | sk_R(y, v, v)
147.10/147.38	       | sk_Xb1(sk_R) = cZ
147.10/147.38	       | sk_Xa1(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['23'])).
147.10/147.38	tff('25', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_R(y, v, v)
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_R(y, v, v)
147.10/147.38	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
147.10/147.38	         cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
147.10/147.38	    inference('sup-', [status(thm)], ['19', '24'])).
147.10/147.38	tff('26', plain,
147.10/147.38	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), 
147.10/147.38	       cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
147.10/147.38	     | sk_R(y, v, v)
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['25'])).
147.10/147.38	tff('27', plain,
147.10/147.38	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_R(y, v, v)),
147.10/147.38	    inference('sup+', [status(thm)], ['18', '26'])).
147.10/147.38	tff('28', plain,
147.10/147.38	    (sk_R(y, v, v)
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
147.10/147.38	    inference('simplify', [status(thm)], ['27'])).
147.10/147.38	tff('29', plain,
147.10/147.38	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_R(y, v, v)),
147.10/147.38	    inference('sup+', [status(thm)], ['13', '28'])).
147.10/147.38	tff('30', plain,
147.10/147.38	    (sk_R(y, v, v)
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
147.10/147.38	    inference('simplify', [status(thm)], ['29'])).
147.10/147.38	tff('31', plain,
147.10/147.38	    ![X8 : (a * a * a) > $o]:
147.10/147.38	      (X8(y, v, v) | ~ X8(sk_Xa1(X8), sk_Xb1(X8), sk_Xc1(X8))),
147.10/147.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.38	tff('32', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_R(y, v, v)
147.10/147.38	     | sk_R(y, v, v)),
147.10/147.38	    inference('sup-', [status(thm)], ['30', '31'])).
147.10/147.38	tff('33', plain,
147.10/147.38	    (sk_R(y, v, v)
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['32'])).
147.10/147.38	tff('34', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | ~ sk_R(x, u, u)),
147.10/147.38	    inference('sup-', [status(thm)], ['33', '6'])).
147.10/147.38	tff('35', plain,
147.10/147.38	    (~ sk_R(x, u, u)
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['34'])).
147.10/147.38	tff('36', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ),
147.10/147.38	    inference('sup-', [status(thm)], ['11', '35'])).
147.10/147.38	tff('37', plain,
147.10/147.38	    (sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['36'])).
147.10/147.38	tff('38', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
147.10/147.38	    inference('sup-', [status(thm)], ['0', '16'])).
147.10/147.38	tff('39', plain,
147.10/147.38	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['38'])).
147.10/147.38	tff('40', plain,
147.10/147.38	    ![X18 : (a * a * a) > $o]:
147.10/147.38	      (X18(x, u, u)
147.10/147.38	       | X18(sk_Xx2(X18), sk_Xy2(X18), sk_Xz2(X18))
147.10/147.38	       | sk_Xb(X18) = cZ
147.10/147.38	       | sk_Xa(X18) = cZ),
147.10/147.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.38	tff('41', plain,
147.10/147.38	    ![X18 : (a * a * a) > $o]:
147.10/147.38	      (X18(x, u, u)
147.10/147.38	       | X18(sk_Xx1(X18), sk_Xy1(X18), sk_Xz1(X18))
147.10/147.38	       | sk_Xb(X18) = cZ
147.10/147.38	       | sk_Xa(X18) = cZ),
147.10/147.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.38	tff('42', plain,
147.10/147.38	    ![X18 : (a * a * a) > $o]:
147.10/147.38	      (X18(x, u, u)
147.10/147.38	       | sk_Xa(X18) = cP(sk_Xx1(X18), sk_Xx2(X18))
147.10/147.38	       | sk_Xb(X18) = cZ
147.10/147.38	       | sk_Xa(X18) = cZ),
147.10/147.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.38	tff('43', plain,
147.10/147.38	    ![X0 : (a * a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
147.10/147.38	      (sk_R(sk_Xa(X0), cP(X4, X3), cP(X2, X1))
147.10/147.38	       | sk_Xa(X0) = cZ
147.10/147.38	       | sk_Xb(X0) = cZ
147.10/147.38	       | X0(x, u, u)
147.10/147.38	       | ~ sk_R(sk_Xx1(X0), X4, X2)
147.10/147.38	       | ~ sk_R(sk_Xx2(X0), X3, X1)),
147.10/147.38	    inference('sup+', [status(thm)], ['42', '3'])).
147.10/147.38	tff('44', plain,
147.10/147.38	    ![X0 : a, X1 : a]:
147.10/147.38	      (~ $true
147.10/147.38	       | sk_Xa(sk_R) = cZ
147.10/147.38	       | sk_Xb(sk_R) = cZ
147.10/147.38	       | sk_R(x, u, u)
147.10/147.38	       | ~ sk_R(sk_Xx2(sk_R), X1, X0)
147.10/147.38	       | sk_R(x, u, u)
147.10/147.38	       | sk_Xb(sk_R) = cZ
147.10/147.38	       | sk_Xa(sk_R) = cZ
147.10/147.38	       | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), X1), cP(sk_Xz1(sk_R), X0))),
147.10/147.38	    inference('sup-', [status(thm)], ['41', '43'])).
147.10/147.38	tff('45', plain,
147.10/147.38	    ![X0 : a, X1 : a]:
147.10/147.38	      (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), X1), cP(sk_Xz1(sk_R), X0))
147.10/147.38	       | ~ sk_R(sk_Xx2(sk_R), X1, X0)
147.10/147.38	       | sk_R(x, u, u)
147.10/147.38	       | sk_Xb(sk_R) = cZ
147.10/147.38	       | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['44'])).
147.10/147.38	tff('46', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_R(x, u, u)
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_R(x, u, u)
147.10/147.38	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
147.10/147.38	         cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
147.10/147.38	    inference('sup-', [status(thm)], ['40', '45'])).
147.10/147.38	tff('47', plain,
147.10/147.38	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), 
147.10/147.38	       cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
147.10/147.38	     | sk_R(x, u, u)
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['46'])).
147.10/147.38	tff('48', plain,
147.10/147.38	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_R(x, u, u)),
147.10/147.38	    inference('sup+', [status(thm)], ['39', '47'])).
147.10/147.38	tff('49', plain,
147.10/147.38	    (sk_R(x, u, u)
147.10/147.38	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
147.10/147.38	    inference('simplify', [status(thm)], ['48'])).
147.10/147.38	tff('50', plain,
147.10/147.38	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.38	     | sk_R(x, u, u)),
147.10/147.38	    inference('sup+', [status(thm)], ['37', '49'])).
147.10/147.38	tff('51', plain,
147.10/147.38	    (sk_R(x, u, u)
147.10/147.38	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
147.10/147.38	    inference('simplify', [status(thm)], ['50'])).
147.10/147.38	tff('52', plain,
147.10/147.38	    ![X18 : (a * a * a) > $o]:
147.10/147.38	      (X18(x, u, u) | ~ X18(sk_Xa(X18), sk_Xb(X18), sk_Xc(X18))),
147.10/147.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.38	tff('53', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.38	     | sk_R(x, u, u)
147.10/147.38	     | sk_R(x, u, u)),
147.10/147.38	    inference('sup-', [status(thm)], ['51', '52'])).
147.10/147.38	tff('54', plain,
147.10/147.38	    (sk_R(x, u, u)
147.10/147.38	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['53'])).
147.10/147.38	tff('55', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
147.10/147.38	    inference('sup-', [status(thm)], ['54', '16'])).
147.10/147.38	tff('56', plain,
147.10/147.38	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['55'])).
147.10/147.38	tff('57', plain,
147.10/147.38	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_R(y, v, v)),
147.10/147.38	    inference('sup+', [status(thm)], ['56', '26'])).
147.10/147.38	tff('58', plain,
147.10/147.38	    (sk_R(y, v, v)
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cP(sk_Xz11(sk_R), sk_Xz21(sk_R)))),
147.10/147.38	    inference('simplify', [status(thm)], ['57'])).
147.10/147.38	tff('59', plain,
147.10/147.38	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_R(y, v, v)),
147.10/147.38	    inference('sup+', [status(thm)], ['10', '58'])).
147.10/147.38	tff('60', plain,
147.10/147.38	    (sk_R(y, v, v)
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
147.10/147.38	    inference('simplify', [status(thm)], ['59'])).
147.10/147.38	tff('61', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_R(y, v, v)
147.10/147.38	     | sk_R(y, v, v)),
147.10/147.38	    inference('sup-', [status(thm)], ['60', '31'])).
147.10/147.38	tff('62', plain,
147.10/147.38	    (sk_R(y, v, v)
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['61'])).
147.10/147.38	tff('63', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | ~ sk_R(x, u, u)),
147.10/147.38	    inference('sup-', [status(thm)], ['62', '6'])).
147.10/147.38	tff('64', plain,
147.10/147.38	    (~ sk_R(x, u, u)
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['63'])).
147.10/147.38	tff('65', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ),
147.10/147.38	    inference('sup-', [status(thm)], ['0', '64'])).
147.10/147.38	tff('66', plain,
147.10/147.38	    (sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['65'])).
147.10/147.38	tff('67', plain,
147.10/147.38	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_R(x, u, u)),
147.10/147.38	    inference('sup+', [status(thm)], ['37', '47'])).
147.10/147.38	tff('68', plain,
147.10/147.38	    (sk_R(x, u, u)
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cP(sk_Xz1(sk_R), sk_Xz2(sk_R)))),
147.10/147.38	    inference('simplify', [status(thm)], ['67'])).
147.10/147.38	tff('69', plain,
147.10/147.38	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_R(x, u, u)),
147.10/147.38	    inference('sup+', [status(thm)], ['66', '68'])).
147.10/147.38	tff('70', plain,
147.10/147.38	    (sk_R(x, u, u)
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
147.10/147.38	    inference('simplify', [status(thm)], ['69'])).
147.10/147.38	tff('71', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_R(x, u, u)
147.10/147.38	     | sk_R(x, u, u)),
147.10/147.38	    inference('sup-', [status(thm)], ['70', '52'])).
147.10/147.38	tff('72', plain,
147.10/147.38	    (sk_R(x, u, u)
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['71'])).
147.10/147.38	tff('73', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
147.10/147.38	    inference('sup-', [status(thm)], ['72', '8'])).
147.10/147.38	tff('74', plain,
147.10/147.38	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ),
147.10/147.38	    inference('simplify', [status(thm)], ['73'])).
147.10/147.38	tff('75', plain,
147.10/147.38	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_R(y, v, v)),
147.10/147.38	    inference('sup+', [status(thm)], ['74', '58'])).
147.10/147.38	tff('76', plain,
147.10/147.38	    (sk_R(y, v, v)
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
147.10/147.38	    inference('simplify', [status(thm)], ['75'])).
147.10/147.38	tff('77', plain,
147.10/147.38	    (~ $true
147.10/147.38	     | sk_Xa(sk_R) = cZ
147.10/147.38	     | sk_Xb(sk_R) = cZ
147.10/147.38	     | sk_Xa1(sk_R) = cZ
147.10/147.38	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_R(y, v, v)),
147.10/147.39	    inference('sup-', [status(thm)], ['76', '31'])).
147.10/147.39	tff('78', plain,
147.10/147.39	    (sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['77'])).
147.10/147.39	tff('79', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['78', '6'])).
147.10/147.39	tff('80', plain,
147.10/147.39	    (~ sk_R(x, u, u)
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['79'])).
147.10/147.39	tff('81', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['72', '80'])).
147.10/147.39	tff('82', plain,
147.10/147.39	    (sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['81'])).
147.10/147.39	tff('83', plain,
147.10/147.39	    ![X8 : (a * a * a) > $o]:
147.10/147.39	      (X8(y, v, v)
147.10/147.39	       | sk_Xb1(X8) = cP(sk_Xy11(X8), sk_Xy21(X8))
147.10/147.39	       | sk_Xa1(X8) = sk_Xc1(X8)
147.10/147.39	       | sk_Xa1(X8) = cZ),
147.10/147.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.39	tff('84', plain, ![X6 : a, X7 : a]: cP(X6, X7) != cZ,
147.10/147.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.39	tff('85', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xb1(X0) != cZ
147.10/147.39	       | sk_Xa1(X0) = cZ
147.10/147.39	       | sk_Xa1(X0) = sk_Xc1(X0)
147.10/147.39	       | X0(y, v, v)),
147.10/147.39	    inference('sup-', [status(thm)], ['83', '84'])).
147.10/147.39	tff('86', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (~ X0(sk_Xa1(X0), sk_Xb1(X0), sk_Xa1(X0))
147.10/147.39	       | X0(y, v, v)
147.10/147.39	       | sk_Xa1(X0) = cZ
147.10/147.39	       | sk_Xb1(X0) != cZ
147.10/147.39	       | X0(y, v, v)),
147.10/147.39	    inference('sup-', [status(thm)], ['85', '31'])).
147.10/147.39	tff('87', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xb1(X0) != cZ
147.10/147.39	       | sk_Xa1(X0) = cZ
147.10/147.39	       | X0(y, v, v)
147.10/147.39	       | ~ X0(sk_Xa1(X0), sk_Xb1(X0), sk_Xa1(X0))),
147.10/147.39	    inference('simplify', [status(thm)], ['86'])).
147.10/147.39	tff('88', plain,
147.10/147.39	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['82', '87'])).
147.10/147.39	tff('89', plain,
147.10/147.39	    ![X9 : a, X10 : a, X11 : a]: (sk_R(X9, X10, X11) | X9 != X11 | X10 != cZ),
147.10/147.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.39	tff('90', plain, ![X11 : a]: sk_R(X11, cZ, X11),
147.10/147.39	    inference('simplify', [status(thm)], ['89'])).
147.10/147.39	tff('91', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ),
147.10/147.39	    inference('demod', [status(thm)], ['88', '90'])).
147.10/147.39	tff('92', plain,
147.10/147.39	    (sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['91'])).
147.10/147.39	tff('93', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ
147.10/147.39	     | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['92', '6'])).
147.10/147.39	tff('94', plain,
147.10/147.39	    (~ sk_R(x, u, u)
147.10/147.39	     | sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['93'])).
147.10/147.39	tff('95', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['11', '94'])).
147.10/147.39	tff('96', plain,
147.10/147.39	    (sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['95'])).
147.10/147.39	tff('97', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['0', '94'])).
147.10/147.39	tff('98', plain,
147.10/147.39	    (sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['97'])).
147.10/147.39	tff('99', plain,
147.10/147.39	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_R(x, u, u)),
147.10/147.39	    inference('sup+', [status(thm)], ['98', '47'])).
147.10/147.39	tff('100', plain,
147.10/147.39	    (sk_R(x, u, u)
147.10/147.39	     | sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['99'])).
147.10/147.39	tff('101', plain,
147.10/147.39	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_R(x, u, u)),
147.10/147.39	    inference('sup+', [status(thm)], ['96', '100'])).
147.10/147.39	tff('102', plain,
147.10/147.39	    (sk_R(x, u, u)
147.10/147.39	     | sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['101'])).
147.10/147.39	tff('103', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_R(x, u, u)
147.10/147.39	     | sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['102', '52'])).
147.10/147.39	tff('104', plain,
147.10/147.39	    (sk_R(x, u, u)
147.10/147.39	     | sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['103'])).
147.10/147.39	tff('105', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['104', '94'])).
147.10/147.39	tff('106', plain,
147.10/147.39	    (sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['105'])).
147.10/147.39	tff('107', plain,
147.10/147.39	    (cZ != cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['82', '106'])).
147.10/147.39	tff('108', plain, (sk_Xa1(sk_R) = cZ | sk_Xb(sk_R) = cZ | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['107'])).
147.10/147.39	tff('109', plain,
147.10/147.39	    ![X18 : (a * a * a) > $o]:
147.10/147.39	      (X18(x, u, u)
147.10/147.39	       | sk_Xb(X18) = cP(sk_Xy1(X18), sk_Xy2(X18))
147.10/147.39	       | sk_Xa(X18) = sk_Xc(X18)
147.10/147.39	       | sk_Xa(X18) = cZ),
147.10/147.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.39	tff('110', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xb(X0) != cZ | sk_Xa(X0) = cZ | sk_Xa(X0) = sk_Xc(X0) | X0(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['109', '84'])).
147.10/147.39	tff('111', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (~ X0(sk_Xa(X0), sk_Xb(X0), sk_Xa(X0))
147.10/147.39	       | X0(x, u, u)
147.10/147.39	       | sk_Xa(X0) = cZ
147.10/147.39	       | sk_Xb(X0) != cZ
147.10/147.39	       | X0(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['110', '52'])).
147.10/147.39	tff('112', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xb(X0) != cZ
147.10/147.39	       | sk_Xa(X0) = cZ
147.10/147.39	       | X0(x, u, u)
147.10/147.39	       | ~ X0(sk_Xa(X0), sk_Xb(X0), sk_Xa(X0))),
147.10/147.39	    inference('simplify', [status(thm)], ['111'])).
147.10/147.39	tff('113', plain,
147.10/147.39	    (~ sk_R(sk_Xa(sk_R), cZ, sk_Xa(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_R(x, u, u)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) != cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['108', '112'])).
147.10/147.39	tff('114', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_R(x, u, u)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) != cZ),
147.10/147.39	    inference('demod', [status(thm)], ['113', '90'])).
147.10/147.39	tff('115', plain,
147.10/147.39	    (sk_Xb(sk_R) != cZ | sk_R(x, u, u) | sk_Xa1(sk_R) = cZ | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['114'])).
147.10/147.39	tff('116', plain, (sk_Xa(sk_R) = cZ | sk_Xa1(sk_R) = cZ | sk_R(x, u, u)),
147.10/147.39	    inference('clc', [status(thm)], ['115', '108'])).
147.10/147.39	tff('117', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
147.10/147.39	    inference('sup-', [status(thm)], ['116', '16'])).
147.10/147.39	tff('118', plain,
147.10/147.39	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['117'])).
147.10/147.39	tff('119', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
147.10/147.39	    inference('sup-', [status(thm)], ['116', '8'])).
147.10/147.39	tff('120', plain,
147.10/147.39	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['119'])).
147.10/147.39	tff('121', plain,
147.10/147.39	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)),
147.10/147.39	    inference('sup+', [status(thm)], ['120', '26'])).
147.10/147.39	tff('122', plain,
147.10/147.39	    (sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['121'])).
147.10/147.39	tff('123', plain,
147.10/147.39	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)),
147.10/147.39	    inference('sup+', [status(thm)], ['118', '122'])).
147.10/147.39	tff('124', plain,
147.10/147.39	    (sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['123'])).
147.10/147.39	tff('125', plain,
147.10/147.39	    (sk_Xa1(sk_R) = cZ | sk_Xa(sk_R) = cZ | sk_Xb1(sk_R) = cZ | sk_R(y, v, v)),
147.10/147.39	    inference('clc', [status(thm)], ['124', '31'])).
147.10/147.39	tff('126', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['125', '6'])).
147.10/147.39	tff('127', plain,
147.10/147.39	    (~ sk_R(x, u, u)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['126'])).
147.10/147.39	tff('128', plain, (sk_Xb1(sk_R) = cZ | sk_Xa(sk_R) = cZ | sk_Xa1(sk_R) = cZ),
147.10/147.39	    inference('clc', [status(thm)], ['127', '116'])).
147.10/147.39	tff('129', plain,
147.10/147.39	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['128', '87'])).
147.10/147.39	tff('130', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ),
147.10/147.39	    inference('demod', [status(thm)], ['129', '90'])).
147.10/147.39	tff('131', plain,
147.10/147.39	    (sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['130'])).
147.10/147.39	tff('132', plain, (sk_Xa1(sk_R) = cZ | sk_Xa(sk_R) = cZ | sk_R(y, v, v)),
147.10/147.39	    inference('clc', [status(thm)], ['131', '128'])).
147.10/147.39	tff('133', plain,
147.10/147.39	    (~ $true | sk_Xa(sk_R) = cZ | sk_Xa1(sk_R) = cZ | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['132', '6'])).
147.10/147.39	tff('134', plain, (~ sk_R(x, u, u) | sk_Xa1(sk_R) = cZ | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['133'])).
147.10/147.39	tff('135', plain, (sk_Xa(sk_R) = cZ | sk_Xa1(sk_R) = cZ),
147.10/147.39	    inference('clc', [status(thm)], ['134', '116'])).
147.10/147.39	tff('136', plain,
147.10/147.39	    ![X8 : (a * a * a) > $o]:
147.10/147.39	      (X8(y, v, v)
147.10/147.39	       | sk_Xa1(X8) = cP(sk_Xx11(X8), sk_Xx21(X8))
147.10/147.39	       | sk_Xb1(X8) = cZ
147.10/147.39	       | sk_Xb1(X8) = sk_Xc1(X8)),
147.10/147.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.39	tff('137', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xa1(X0) != cZ
147.10/147.39	       | sk_Xb1(X0) = sk_Xc1(X0)
147.10/147.39	       | sk_Xb1(X0) = cZ
147.10/147.39	       | X0(y, v, v)),
147.10/147.39	    inference('sup-', [status(thm)], ['136', '84'])).
147.10/147.39	tff('138', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (~ X0(sk_Xa1(X0), sk_Xb1(X0), sk_Xb1(X0))
147.10/147.39	       | X0(y, v, v)
147.10/147.39	       | sk_Xb1(X0) = cZ
147.10/147.39	       | sk_Xa1(X0) != cZ
147.10/147.39	       | X0(y, v, v)),
147.10/147.39	    inference('sup-', [status(thm)], ['137', '31'])).
147.10/147.39	tff('139', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xa1(X0) != cZ
147.10/147.39	       | sk_Xb1(X0) = cZ
147.10/147.39	       | X0(y, v, v)
147.10/147.39	       | ~ X0(sk_Xa1(X0), sk_Xb1(X0), sk_Xb1(X0))),
147.10/147.39	    inference('simplify', [status(thm)], ['138'])).
147.10/147.39	tff('140', plain,
147.10/147.39	    (~ sk_R(cZ, sk_Xb1(sk_R), sk_Xb1(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) != cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['135', '139'])).
147.10/147.39	tff('141', plain,
147.10/147.39	    ![X9 : a, X10 : a, X11 : a]: (sk_R(X9, X10, X11) | X10 != X11 | X9 != cZ),
147.10/147.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.39	tff('142', plain, ![X11 : a]: sk_R(cZ, X11, X11),
147.10/147.39	    inference('simplify', [status(thm)], ['141'])).
147.10/147.39	tff('143', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) != cZ),
147.10/147.39	    inference('demod', [status(thm)], ['140', '142'])).
147.10/147.39	tff('144', plain,
147.10/147.39	    (sk_Xa1(sk_R) != cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['143'])).
147.10/147.39	tff('145', plain, (sk_Xa(sk_R) = cZ | sk_R(y, v, v) | sk_Xb1(sk_R) = cZ),
147.10/147.39	    inference('clc', [status(thm)], ['144', '135'])).
147.10/147.39	tff('146', plain,
147.10/147.39	    (~ $true | sk_Xb1(sk_R) = cZ | sk_Xa(sk_R) = cZ | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['145', '6'])).
147.10/147.39	tff('147', plain, (~ sk_R(x, u, u) | sk_Xa(sk_R) = cZ | sk_Xb1(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['146'])).
147.10/147.39	tff('148', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['11', '147'])).
147.10/147.39	tff('149', plain,
147.10/147.39	    (sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['148'])).
147.10/147.39	tff('150', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['0', '147'])).
147.10/147.39	tff('151', plain,
147.10/147.39	    (sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['150'])).
147.10/147.39	tff('152', plain,
147.10/147.39	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_R(x, u, u)),
147.10/147.39	    inference('sup+', [status(thm)], ['151', '47'])).
147.10/147.39	tff('153', plain,
147.10/147.39	    (sk_R(x, u, u)
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['152'])).
147.10/147.39	tff('154', plain,
147.10/147.39	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ),
147.10/147.39	    inference('clc', [status(thm)], ['153', '147'])).
147.10/147.39	tff('155', plain,
147.10/147.39	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('sup+', [status(thm)], ['149', '154'])).
147.10/147.39	tff('156', plain,
147.10/147.39	    (sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['155'])).
147.10/147.39	tff('157', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['156', '52'])).
147.10/147.39	tff('158', plain,
147.10/147.39	    (sk_R(x, u, u) | sk_Xb1(sk_R) = cZ | sk_Xb(sk_R) = cZ | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['157'])).
147.10/147.39	tff('159', plain, (sk_Xa(sk_R) = cZ | sk_Xb(sk_R) = cZ | sk_Xb1(sk_R) = cZ),
147.10/147.39	    inference('clc', [status(thm)], ['158', '147'])).
147.10/147.39	tff('160', plain,
147.10/147.39	    ![X8 : (a * a * a) > $o]:
147.10/147.39	      (X8(y, v, v)
147.10/147.39	       | sk_Xa1(X8) = cP(sk_Xx11(X8), sk_Xx21(X8))
147.10/147.39	       | sk_Xa1(X8) = sk_Xc1(X8)
147.10/147.39	       | sk_Xb1(X8) = sk_Xc1(X8)),
147.10/147.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.39	tff('161', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xa1(X0) != cZ
147.10/147.39	       | sk_Xb1(X0) = sk_Xc1(X0)
147.10/147.39	       | sk_Xa1(X0) = sk_Xc1(X0)
147.10/147.39	       | X0(y, v, v)),
147.10/147.39	    inference('sup-', [status(thm)], ['160', '84'])).
147.10/147.39	tff('162', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xb1(X0) != sk_Xa1(X0)
147.10/147.39	       | X0(y, v, v)
147.10/147.39	       | sk_Xa1(X0) = sk_Xc1(X0)
147.10/147.39	       | sk_Xa1(X0) != cZ),
147.10/147.39	    inference('eq_fact', [status(thm)], ['161'])).
147.10/147.39	tff('163', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (~ X0(sk_Xa1(X0), sk_Xb1(X0), sk_Xa1(X0))
147.10/147.39	       | sk_Xa1(X0) != cZ
147.10/147.39	       | X0(y, v, v)
147.10/147.39	       | sk_Xb1(X0) != sk_Xa1(X0)
147.10/147.39	       | X0(y, v, v)),
147.10/147.39	    inference('sup-', [status(thm)], ['162', '31'])).
147.10/147.39	tff('164', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xb1(X0) != sk_Xa1(X0)
147.10/147.39	       | X0(y, v, v)
147.10/147.39	       | sk_Xa1(X0) != cZ
147.10/147.39	       | ~ X0(sk_Xa1(X0), sk_Xb1(X0), sk_Xa1(X0))),
147.10/147.39	    inference('simplify', [status(thm)], ['163'])).
147.10/147.39	tff('165', plain,
147.10/147.39	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cZ)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) != cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
147.10/147.39	    inference('sup-', [status(thm)], ['135', '164'])).
147.10/147.39	tff('166', plain,
147.10/147.39	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | ~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), cZ)),
147.10/147.39	    inference('clc', [status(thm)], ['165', '135'])).
147.10/147.39	tff('167', plain,
147.10/147.39	    (~ sk_R(cZ, sk_Xb1(sk_R), cZ)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
147.10/147.39	    inference('sup-', [status(thm)], ['135', '166'])).
147.10/147.39	tff('168', plain,
147.10/147.39	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | ~ sk_R(cZ, sk_Xb1(sk_R), cZ)),
147.10/147.39	    inference('simplify', [status(thm)], ['167'])).
147.10/147.39	tff('169', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | ~ sk_R(cZ, sk_Xb1(sk_R), cZ)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['168', '6'])).
147.10/147.39	tff('170', plain,
147.10/147.39	    (~ sk_R(x, u, u)
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | ~ sk_R(cZ, sk_Xb1(sk_R), cZ)),
147.10/147.39	    inference('simplify', [status(thm)], ['169'])).
147.10/147.39	tff('171', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.39	     | ~ sk_R(cZ, sk_Xb1(sk_R), cZ)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
147.10/147.39	    inference('sup-', [status(thm)], ['11', '170'])).
147.10/147.39	tff('172', plain,
147.10/147.39	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | ~ sk_R(cZ, sk_Xb1(sk_R), cZ)
147.10/147.39	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['171'])).
147.10/147.39	tff('173', plain,
147.10/147.39	    (~ sk_R(cZ, cZ, cZ)
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
147.10/147.39	    inference('sup-', [status(thm)], ['159', '172'])).
147.10/147.39	tff('174', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
147.10/147.39	    inference('demod', [status(thm)], ['173', '142'])).
147.10/147.39	tff('175', plain,
147.10/147.39	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_Xb(sk_R) = cP(sk_Xy1(sk_R), sk_Xy2(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['174'])).
147.10/147.39	tff('176', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.39	     | ~ sk_R(cZ, sk_Xb1(sk_R), cZ)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
147.10/147.39	    inference('sup-', [status(thm)], ['0', '170'])).
147.10/147.39	tff('177', plain,
147.10/147.39	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | ~ sk_R(cZ, sk_Xb1(sk_R), cZ)
147.10/147.39	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['176'])).
147.10/147.39	tff('178', plain,
147.10/147.39	    (~ sk_R(cZ, cZ, cZ)
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
147.10/147.39	    inference('sup-', [status(thm)], ['159', '177'])).
147.10/147.39	tff('179', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
147.10/147.39	    inference('demod', [status(thm)], ['178', '142'])).
147.10/147.39	tff('180', plain,
147.10/147.39	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_Xc(sk_R) = cP(sk_Xz1(sk_R), sk_Xz2(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['179'])).
147.10/147.39	tff('181', plain,
147.10/147.39	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_R(x, u, u)),
147.10/147.39	    inference('sup+', [status(thm)], ['180', '47'])).
147.10/147.39	tff('182', plain,
147.10/147.39	    (sk_R(x, u, u)
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['181'])).
147.10/147.39	tff('183', plain,
147.10/147.39	    (~ sk_R(sk_Xa1(sk_R), cZ, cZ)
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
147.10/147.39	    inference('sup-', [status(thm)], ['159', '166'])).
147.10/147.39	tff('184', plain,
147.10/147.39	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | ~ sk_R(sk_Xa1(sk_R), cZ, cZ)),
147.10/147.39	    inference('simplify', [status(thm)], ['183'])).
147.10/147.39	tff('185', plain,
147.10/147.39	    (~ sk_R(cZ, cZ, cZ)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
147.10/147.39	    inference('sup-', [status(thm)], ['135', '184'])).
147.10/147.39	tff('186', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
147.10/147.39	    inference('demod', [status(thm)], ['185', '142'])).
147.10/147.39	tff('187', plain,
147.10/147.39	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['186'])).
147.10/147.39	tff('188', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['187', '6'])).
147.10/147.39	tff('189', plain,
147.10/147.39	    (~ sk_R(x, u, u)
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['188'])).
147.10/147.39	tff('190', plain,
147.10/147.39	    (sk_R(sk_Xa(sk_R), cP(sk_Xy1(sk_R), sk_Xy2(sk_R)), sk_Xc(sk_R))
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
147.10/147.39	    inference('clc', [status(thm)], ['182', '189'])).
147.10/147.39	tff('191', plain,
147.10/147.39	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('sup+', [status(thm)], ['175', '190'])).
147.10/147.39	tff('192', plain,
147.10/147.39	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['191'])).
147.10/147.39	tff('193', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['192', '52'])).
147.10/147.39	tff('194', plain,
147.10/147.39	    (sk_R(x, u, u)
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['193'])).
147.10/147.39	tff('195', plain,
147.10/147.39	    (sk_Xb(sk_R) = cZ | sk_Xa(sk_R) = cZ | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
147.10/147.39	    inference('clc', [status(thm)], ['194', '189'])).
147.10/147.39	tff('196', plain,
147.10/147.39	    (cZ != sk_Xa1(sk_R)
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['159', '195'])).
147.10/147.39	tff('197', plain, (sk_Xa(sk_R) = cZ | sk_Xb(sk_R) = cZ | cZ != sk_Xa1(sk_R)),
147.10/147.39	    inference('simplify', [status(thm)], ['196'])).
147.10/147.39	tff('198', plain, (sk_Xb(sk_R) = cZ | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('clc', [status(thm)], ['197', '135'])).
147.10/147.39	tff('199', plain,
147.10/147.39	    (~ sk_R(sk_Xa(sk_R), cZ, sk_Xa(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(x, u, u)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) != cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['198', '112'])).
147.10/147.39	tff('200', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(x, u, u)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) != cZ),
147.10/147.39	    inference('demod', [status(thm)], ['199', '90'])).
147.10/147.39	tff('201', plain, (sk_Xb(sk_R) != cZ | sk_R(x, u, u) | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['200'])).
147.10/147.39	tff('202', plain, (sk_Xa(sk_R) = cZ | sk_R(x, u, u)),
147.10/147.39	    inference('clc', [status(thm)], ['201', '198'])).
147.10/147.39	tff('203', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (~ X0(sk_Xa1(X0), sk_Xb1(X0), sk_Xb1(X0))
147.10/147.39	       | X0(y, v, v)
147.10/147.39	       | sk_Xa1(X0) = sk_Xc1(X0)
147.10/147.39	       | sk_Xa1(X0) != cZ
147.10/147.39	       | X0(y, v, v)),
147.10/147.39	    inference('sup-', [status(thm)], ['161', '31'])).
147.10/147.39	tff('204', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xa1(X0) != cZ
147.10/147.39	       | sk_Xa1(X0) = sk_Xc1(X0)
147.10/147.39	       | X0(y, v, v)
147.10/147.39	       | ~ X0(sk_Xa1(X0), sk_Xb1(X0), sk_Xb1(X0))),
147.10/147.39	    inference('simplify', [status(thm)], ['203'])).
147.10/147.39	tff('205', plain,
147.10/147.39	    (~ sk_R(cZ, sk_Xb1(sk_R), sk_Xb1(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
147.10/147.39	     | sk_Xa1(sk_R) != cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['135', '204'])).
147.10/147.39	tff('206', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
147.10/147.39	     | sk_Xa1(sk_R) != cZ),
147.10/147.39	    inference('demod', [status(thm)], ['205', '142'])).
147.10/147.39	tff('207', plain,
147.10/147.39	    (sk_Xa1(sk_R) != cZ
147.10/147.39	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['206'])).
147.10/147.39	tff('208', plain,
147.10/147.39	    (sk_Xa(sk_R) = cZ | sk_R(y, v, v) | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
147.10/147.39	    inference('clc', [status(thm)], ['207', '135'])).
147.10/147.39	tff('209', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['208', '6'])).
147.10/147.39	tff('210', plain,
147.10/147.39	    (~ sk_R(x, u, u) | sk_Xa(sk_R) = cZ | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
147.10/147.39	    inference('simplify', [status(thm)], ['209'])).
147.10/147.39	tff('211', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['202', '210'])).
147.10/147.39	tff('212', plain, (sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['211'])).
147.10/147.39	tff('213', plain,
147.10/147.39	    (~ $true | sk_Xa(sk_R) = cZ | sk_Xb1(sk_R) = cZ | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['202', '147'])).
147.10/147.39	tff('214', plain, (sk_Xb1(sk_R) = cZ | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['213'])).
147.10/147.39	tff('215', plain,
147.10/147.39	    (~ sk_R(cZ, sk_Xb1(sk_R), sk_Xc1(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)),
147.10/147.39	    inference('sup-', [status(thm)], ['135', '31'])).
147.10/147.39	tff('216', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | ~ sk_R(cZ, sk_Xb1(sk_R), sk_Xc1(sk_R))
147.10/147.39	     | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['215', '6'])).
147.10/147.39	tff('217', plain,
147.10/147.39	    (~ sk_R(x, u, u)
147.10/147.39	     | ~ sk_R(cZ, sk_Xb1(sk_R), sk_Xc1(sk_R))
147.10/147.39	     | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['216'])).
147.10/147.39	tff('218', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) = cZ
147.10/147.39	     | ~ sk_R(cZ, sk_Xb1(sk_R), sk_Xc1(sk_R))),
147.10/147.39	    inference('sup-', [status(thm)], ['202', '217'])).
147.10/147.39	tff('219', plain,
147.10/147.39	    (~ sk_R(cZ, sk_Xb1(sk_R), sk_Xc1(sk_R)) | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['218'])).
147.10/147.39	tff('220', plain,
147.10/147.39	    (~ sk_R(cZ, cZ, sk_Xc1(sk_R)) | sk_Xa(sk_R) = cZ | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['214', '219'])).
147.10/147.39	tff('221', plain, (sk_Xa(sk_R) = cZ | ~ sk_R(cZ, cZ, sk_Xc1(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['220'])).
147.10/147.39	tff('222', plain,
147.10/147.39	    (~ sk_R(cZ, cZ, sk_Xa1(sk_R)) | sk_Xa(sk_R) = cZ | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['212', '221'])).
147.10/147.39	tff('223', plain, (sk_Xa(sk_R) = cZ | ~ sk_R(cZ, cZ, sk_Xa1(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['222'])).
147.10/147.39	tff('224', plain, (~ sk_R(cZ, cZ, cZ) | sk_Xa(sk_R) = cZ | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['135', '223'])).
147.10/147.39	tff('225', plain, (~ $true | sk_Xa(sk_R) = cZ | sk_Xa(sk_R) = cZ),
147.10/147.39	    inference('demod', [status(thm)], ['224', '142'])).
147.10/147.39	tff('226', plain, sk_Xa(sk_R) = cZ,
147.10/147.39	    inference('simplify', [status(thm)], ['225'])).
147.10/147.39	tff('227', plain,
147.10/147.39	    ![X18 : (a * a * a) > $o]:
147.10/147.39	      (X18(x, u, u)
147.10/147.39	       | sk_Xa(X18) = cP(sk_Xx1(X18), sk_Xx2(X18))
147.10/147.39	       | sk_Xa(X18) = sk_Xc(X18)
147.10/147.39	       | sk_Xb(X18) = sk_Xc(X18)),
147.10/147.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.39	tff('228', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xa(X0) != cZ
147.10/147.39	       | sk_Xb(X0) = sk_Xc(X0)
147.10/147.39	       | sk_Xa(X0) = sk_Xc(X0)
147.10/147.39	       | X0(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['227', '84'])).
147.10/147.39	tff('229', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xb(X0) != sk_Xa(X0)
147.10/147.39	       | X0(x, u, u)
147.10/147.39	       | sk_Xa(X0) = sk_Xc(X0)
147.10/147.39	       | sk_Xa(X0) != cZ),
147.10/147.39	    inference('eq_fact', [status(thm)], ['228'])).
147.10/147.39	tff('230', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (~ X0(sk_Xa(X0), sk_Xb(X0), sk_Xa(X0))
147.10/147.39	       | sk_Xa(X0) != cZ
147.10/147.39	       | X0(x, u, u)
147.10/147.39	       | sk_Xb(X0) != sk_Xa(X0)
147.10/147.39	       | X0(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['229', '52'])).
147.10/147.39	tff('231', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xb(X0) != sk_Xa(X0)
147.10/147.39	       | X0(x, u, u)
147.10/147.39	       | sk_Xa(X0) != cZ
147.10/147.39	       | ~ X0(sk_Xa(X0), sk_Xb(X0), sk_Xa(X0))),
147.10/147.39	    inference('simplify', [status(thm)], ['230'])).
147.10/147.39	tff('232', plain,
147.10/147.39	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), cZ)
147.10/147.39	     | sk_Xa(sk_R) != cZ
147.10/147.39	     | sk_R(x, u, u)
147.10/147.39	     | sk_Xb(sk_R) != sk_Xa(sk_R)),
147.10/147.39	    inference('sup-', [status(thm)], ['226', '231'])).
147.10/147.39	tff('233', plain,
147.10/147.39	    (~ sk_R(cZ, sk_Xb(sk_R), cZ)
147.10/147.39	     | cZ != cZ
147.10/147.39	     | sk_R(x, u, u)
147.10/147.39	     | sk_Xb(sk_R) != cZ),
147.10/147.39	    inference('demod', [status(thm)], ['232', '226', '226', '226'])).
147.10/147.39	tff('234', plain,
147.10/147.39	    (sk_Xb(sk_R) != cZ | sk_R(x, u, u) | ~ sk_R(cZ, sk_Xb(sk_R), cZ)),
147.10/147.39	    inference('simplify', [status(thm)], ['233'])).
147.10/147.39	tff('235', plain,
147.10/147.39	    ![X18 : (a * a * a) > $o]:
147.10/147.39	      (X18(x, u, u)
147.10/147.39	       | sk_Xa(X18) = cP(sk_Xx1(X18), sk_Xx2(X18))
147.10/147.39	       | sk_Xb(X18) = cZ
147.10/147.39	       | sk_Xb(X18) = sk_Xc(X18)),
147.10/147.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
147.10/147.39	tff('236', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xa(X0) != cZ | sk_Xb(X0) = sk_Xc(X0) | sk_Xb(X0) = cZ | X0(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['235', '84'])).
147.10/147.39	tff('237', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (~ X0(sk_Xa(X0), sk_Xb(X0), sk_Xb(X0))
147.10/147.39	       | X0(x, u, u)
147.10/147.39	       | sk_Xb(X0) = cZ
147.10/147.39	       | sk_Xa(X0) != cZ
147.10/147.39	       | X0(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['236', '52'])).
147.10/147.39	tff('238', plain,
147.10/147.39	    ![X0 : (a * a * a) > $o]:
147.10/147.39	      (sk_Xa(X0) != cZ
147.10/147.39	       | sk_Xb(X0) = cZ
147.10/147.39	       | X0(x, u, u)
147.10/147.39	       | ~ X0(sk_Xa(X0), sk_Xb(X0), sk_Xb(X0))),
147.10/147.39	    inference('simplify', [status(thm)], ['237'])).
147.10/147.39	tff('239', plain,
147.10/147.39	    (~ sk_R(cZ, sk_Xb(sk_R), sk_Xb(sk_R))
147.10/147.39	     | sk_R(x, u, u)
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) != cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['226', '238'])).
147.10/147.39	tff('240', plain, (~ $true | sk_R(x, u, u) | sk_Xb(sk_R) = cZ | cZ != cZ),
147.10/147.39	    inference('demod', [status(thm)], ['239', '142', '226'])).
147.10/147.39	tff('241', plain, (sk_Xb(sk_R) = cZ | sk_R(x, u, u)),
147.10/147.39	    inference('simplify', [status(thm)], ['240'])).
147.10/147.39	tff('242', plain, (~ sk_R(cZ, sk_Xb(sk_R), cZ) | sk_R(x, u, u)),
147.10/147.39	    inference('clc', [status(thm)], ['234', '241'])).
147.10/147.39	tff('243', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
147.10/147.39	    inference('sup-', [status(thm)], ['241', '16'])).
147.10/147.39	tff('244', plain,
147.10/147.39	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['243'])).
147.10/147.39	tff('245', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
147.10/147.39	    inference('sup-', [status(thm)], ['241', '8'])).
147.10/147.39	tff('246', plain,
147.10/147.39	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['245'])).
147.10/147.39	tff('247', plain,
147.10/147.39	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)),
147.10/147.39	    inference('sup+', [status(thm)], ['246', '26'])).
147.10/147.39	tff('248', plain,
147.10/147.39	    (sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['247'])).
147.10/147.39	tff('249', plain,
147.10/147.39	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)),
147.10/147.39	    inference('sup+', [status(thm)], ['244', '248'])).
147.10/147.39	tff('250', plain,
147.10/147.39	    (sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['249'])).
147.10/147.39	tff('251', plain,
147.10/147.39	    (sk_Xb(sk_R) = cZ | sk_Xa1(sk_R) = cZ | sk_Xb1(sk_R) = cZ | sk_R(y, v, v)),
147.10/147.39	    inference('clc', [status(thm)], ['250', '31'])).
147.10/147.39	tff('252', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['251', '6'])).
147.10/147.39	tff('253', plain,
147.10/147.39	    (~ sk_R(x, u, u)
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['252'])).
147.10/147.39	tff('254', plain, (sk_Xb1(sk_R) = cZ | sk_Xa1(sk_R) = cZ | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('clc', [status(thm)], ['253', '241'])).
147.10/147.39	tff('255', plain,
147.10/147.39	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['254', '87'])).
147.10/147.39	tff('256', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xb(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ),
147.10/147.39	    inference('demod', [status(thm)], ['255', '90'])).
147.10/147.39	tff('257', plain,
147.10/147.39	    (sk_Xb1(sk_R) != cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['256'])).
147.10/147.39	tff('258', plain, (sk_Xb(sk_R) = cZ | sk_Xa1(sk_R) = cZ | sk_R(y, v, v)),
147.10/147.39	    inference('clc', [status(thm)], ['257', '254'])).
147.10/147.39	tff('259', plain,
147.10/147.39	    (~ $true | sk_Xa1(sk_R) = cZ | sk_Xb(sk_R) = cZ | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['258', '6'])).
147.10/147.39	tff('260', plain, (~ sk_R(x, u, u) | sk_Xb(sk_R) = cZ | sk_Xa1(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['259'])).
147.10/147.39	tff('261', plain, (sk_Xa1(sk_R) = cZ | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('clc', [status(thm)], ['260', '241'])).
147.10/147.39	tff('262', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | ~ sk_R(cZ, sk_Xb(sk_R), cZ)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
147.10/147.39	    inference('sup-', [status(thm)], ['242', '16'])).
147.10/147.39	tff('263', plain,
147.10/147.39	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | ~ sk_R(cZ, sk_Xb(sk_R), cZ)),
147.10/147.39	    inference('simplify', [status(thm)], ['262'])).
147.10/147.39	tff('264', plain,
147.10/147.39	    (~ sk_R(cZ, cZ, cZ)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
147.10/147.39	    inference('sup-', [status(thm)], ['261', '263'])).
147.10/147.39	tff('265', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))),
147.10/147.39	    inference('demod', [status(thm)], ['264', '142'])).
147.10/147.39	tff('266', plain,
147.10/147.39	    (sk_Xb1(sk_R) = cP(sk_Xy11(sk_R), sk_Xy21(sk_R))
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['265'])).
147.10/147.39	tff('267', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | ~ sk_R(cZ, sk_Xb(sk_R), cZ)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
147.10/147.39	    inference('sup-', [status(thm)], ['242', '8'])).
147.10/147.39	tff('268', plain,
147.10/147.39	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | ~ sk_R(cZ, sk_Xb(sk_R), cZ)),
147.10/147.39	    inference('simplify', [status(thm)], ['267'])).
147.10/147.39	tff('269', plain,
147.10/147.39	    (~ sk_R(cZ, cZ, cZ)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
147.10/147.39	    inference('sup-', [status(thm)], ['261', '268'])).
147.10/147.39	tff('270', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))),
147.10/147.39	    inference('demod', [status(thm)], ['269', '142'])).
147.10/147.39	tff('271', plain,
147.10/147.39	    (sk_Xc1(sk_R) = cP(sk_Xz11(sk_R), sk_Xz21(sk_R))
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['270'])).
147.10/147.39	tff('272', plain,
147.10/147.39	    (sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)),
147.10/147.39	    inference('sup+', [status(thm)], ['271', '26'])).
147.10/147.39	tff('273', plain,
147.10/147.39	    (sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_R(sk_Xa1(sk_R), cP(sk_Xy11(sk_R), sk_Xy21(sk_R)), sk_Xc1(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['272'])).
147.10/147.39	tff('274', plain,
147.10/147.39	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)),
147.10/147.39	    inference('sup+', [status(thm)], ['266', '273'])).
147.10/147.39	tff('275', plain,
147.10/147.39	    (sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['274'])).
147.10/147.39	tff('276', plain, (sk_Xa1(sk_R) = cZ | sk_Xb1(sk_R) = cZ | sk_R(y, v, v)),
147.10/147.39	    inference('clc', [status(thm)], ['275', '31'])).
147.10/147.39	tff('277', plain,
147.10/147.39	    (~ $true | sk_Xb1(sk_R) = cZ | sk_Xa1(sk_R) = cZ | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['276', '6'])).
147.10/147.39	tff('278', plain, (~ sk_R(x, u, u) | sk_Xa1(sk_R) = cZ | sk_Xb1(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['277'])).
147.10/147.39	tff('279', plain,
147.10/147.39	    (~ sk_R(sk_Xa(sk_R), cZ, sk_Xa(sk_R))
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xa(sk_R) != cZ
147.10/147.39	     | sk_R(x, u, u)
147.10/147.39	     | sk_Xb(sk_R) != sk_Xa(sk_R)),
147.10/147.39	    inference('sup-', [status(thm)], ['261', '231'])).
147.10/147.39	tff('280', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | cZ != cZ
147.10/147.39	     | sk_R(x, u, u)
147.10/147.39	     | sk_Xb(sk_R) != cZ),
147.10/147.39	    inference('demod', [status(thm)],
147.10/147.39	              ['279', '226', '226', '142', '226', '226'])).
147.10/147.39	tff('281', plain, (sk_Xb(sk_R) != cZ | sk_R(x, u, u) | sk_Xa1(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['280'])).
147.10/147.39	tff('282', plain, (sk_Xa1(sk_R) = cZ | sk_R(x, u, u)),
147.10/147.39	    inference('clc', [status(thm)], ['281', '261'])).
147.10/147.39	tff('283', plain, (sk_Xb1(sk_R) = cZ | sk_Xa1(sk_R) = cZ),
147.10/147.39	    inference('clc', [status(thm)], ['278', '282'])).
147.10/147.39	tff('284', plain,
147.10/147.39	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['283', '87'])).
147.10/147.39	tff('285', plain,
147.10/147.39	    (~ $true
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa1(sk_R) = cZ
147.10/147.39	     | sk_Xb1(sk_R) != cZ),
147.10/147.39	    inference('demod', [status(thm)], ['284', '90'])).
147.10/147.39	tff('286', plain, (sk_Xb1(sk_R) != cZ | sk_R(y, v, v) | sk_Xa1(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['285'])).
147.10/147.39	tff('287', plain, (sk_Xa1(sk_R) = cZ | sk_R(y, v, v)),
147.10/147.39	    inference('clc', [status(thm)], ['286', '283'])).
147.10/147.39	tff('288', plain, (~ $true | sk_Xa1(sk_R) = cZ | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['287', '6'])).
147.10/147.39	tff('289', plain, (~ sk_R(x, u, u) | sk_Xa1(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['288'])).
147.10/147.39	tff('290', plain, sk_Xa1(sk_R) = cZ,
147.10/147.39	    inference('clc', [status(thm)], ['289', '282'])).
147.10/147.39	tff('291', plain,
147.10/147.39	    (~ sk_R(cZ, sk_Xb1(sk_R), sk_Xb1(sk_R))
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) = cZ
147.10/147.39	     | sk_Xa1(sk_R) != cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['290', '139'])).
147.10/147.39	tff('292', plain, (~ $true | sk_R(y, v, v) | sk_Xb1(sk_R) = cZ | cZ != cZ),
147.10/147.39	    inference('demod', [status(thm)], ['291', '142', '290'])).
147.10/147.39	tff('293', plain, (sk_Xb1(sk_R) = cZ | sk_R(y, v, v)),
147.10/147.39	    inference('simplify', [status(thm)], ['292'])).
147.10/147.39	tff('294', plain, (~ $true | sk_Xb1(sk_R) = cZ | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['293', '6'])).
147.10/147.39	tff('295', plain, (~ sk_R(x, u, u) | sk_Xb1(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['294'])).
147.10/147.39	tff('296', plain,
147.10/147.39	    (~ $true | ~ sk_R(cZ, sk_Xb(sk_R), cZ) | sk_Xb1(sk_R) = cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['242', '295'])).
147.10/147.39	tff('297', plain, (sk_Xb1(sk_R) = cZ | ~ sk_R(cZ, sk_Xb(sk_R), cZ)),
147.10/147.39	    inference('simplify', [status(thm)], ['296'])).
147.10/147.39	tff('298', plain,
147.10/147.39	    (~ sk_R(cZ, sk_Xb1(sk_R), sk_Xb1(sk_R))
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
147.10/147.39	     | sk_Xa1(sk_R) != cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['290', '204'])).
147.10/147.39	tff('299', plain, (~ $true | sk_R(y, v, v) | cZ = sk_Xc1(sk_R) | cZ != cZ),
147.10/147.39	    inference('demod', [status(thm)], ['298', '142', '290', '290'])).
147.10/147.39	tff('300', plain, (cZ = sk_Xc1(sk_R) | sk_R(y, v, v)),
147.10/147.39	    inference('simplify', [status(thm)], ['299'])).
147.10/147.39	tff('301', plain, (~ $true | cZ = sk_Xc1(sk_R) | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['300', '6'])).
147.10/147.39	tff('302', plain, (~ sk_R(x, u, u) | cZ = sk_Xc1(sk_R)),
147.10/147.39	    inference('simplify', [status(thm)], ['301'])).
147.10/147.39	tff('303', plain, (~ $true | sk_Xb(sk_R) = cZ | cZ = sk_Xc1(sk_R)),
147.10/147.39	    inference('sup-', [status(thm)], ['241', '302'])).
147.10/147.39	tff('304', plain, (cZ = sk_Xc1(sk_R) | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['303'])).
147.10/147.39	tff('305', plain, (~ $true | sk_Xb(sk_R) = cZ | sk_Xb1(sk_R) = cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['241', '295'])).
147.10/147.39	tff('306', plain, (sk_Xb1(sk_R) = cZ | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['305'])).
147.10/147.39	tff('307', plain, (~ sk_R(cZ, sk_Xb1(sk_R), sk_Xc1(sk_R)) | sk_R(y, v, v)),
147.10/147.39	    inference('sup-', [status(thm)], ['290', '31'])).
147.10/147.39	tff('308', plain,
147.10/147.39	    (~ $true | ~ sk_R(cZ, sk_Xb1(sk_R), sk_Xc1(sk_R)) | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['307', '6'])).
147.10/147.39	tff('309', plain, (~ sk_R(x, u, u) | ~ sk_R(cZ, sk_Xb1(sk_R), sk_Xc1(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['308'])).
147.10/147.39	tff('310', plain,
147.10/147.39	    (~ $true | sk_Xb(sk_R) = cZ | ~ sk_R(cZ, sk_Xb1(sk_R), sk_Xc1(sk_R))),
147.10/147.39	    inference('sup-', [status(thm)], ['241', '309'])).
147.10/147.39	tff('311', plain,
147.10/147.39	    (~ sk_R(cZ, sk_Xb1(sk_R), sk_Xc1(sk_R)) | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('simplify', [status(thm)], ['310'])).
147.10/147.39	tff('312', plain,
147.10/147.39	    (~ sk_R(cZ, cZ, sk_Xc1(sk_R)) | sk_Xb(sk_R) = cZ | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['306', '311'])).
147.10/147.39	tff('313', plain, (sk_Xb(sk_R) = cZ | ~ sk_R(cZ, cZ, sk_Xc1(sk_R))),
147.10/147.39	    inference('simplify', [status(thm)], ['312'])).
147.10/147.39	tff('314', plain, (~ sk_R(cZ, cZ, cZ) | sk_Xb(sk_R) = cZ | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('sup-', [status(thm)], ['304', '313'])).
147.10/147.39	tff('315', plain, (~ $true | sk_Xb(sk_R) = cZ | sk_Xb(sk_R) = cZ),
147.10/147.39	    inference('demod', [status(thm)], ['314', '142'])).
147.10/147.39	tff('316', plain, sk_Xb(sk_R) = cZ,
147.10/147.39	    inference('simplify', [status(thm)], ['315'])).
147.10/147.39	tff('317', plain, (sk_Xb1(sk_R) = cZ | ~ $true),
147.10/147.39	    inference('demod', [status(thm)], ['297', '316', '142'])).
147.10/147.39	tff('318', plain, sk_Xb1(sk_R) = cZ,
147.10/147.39	    inference('simplify', [status(thm)], ['317'])).
147.10/147.39	tff('319', plain,
147.10/147.39	    (~ sk_R(sk_Xa1(sk_R), cZ, sk_Xa1(sk_R))
147.10/147.39	     | sk_Xa1(sk_R) != cZ
147.10/147.39	     | sk_R(y, v, v)
147.10/147.39	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)),
147.10/147.39	    inference('sup-', [status(thm)], ['318', '164'])).
147.10/147.39	tff('320', plain, (~ $true | cZ != cZ | sk_R(y, v, v) | cZ != cZ),
147.10/147.39	    inference('demod', [status(thm)],
147.10/147.39	              ['319', '290', '290', '142', '290', '318', '290'])).
147.10/147.39	tff('321', plain, sk_R(y, v, v),
147.10/147.39	    inference('simplify', [status(thm)], ['320'])).
147.10/147.39	tff('322', plain, (~ $true | ~ sk_R(x, u, u)),
147.10/147.39	    inference('sup-', [status(thm)], ['321', '6'])).
147.10/147.39	tff('323', plain, (~ $true | sk_R(x, u, u)),
147.10/147.39	    inference('demod', [status(thm)], ['242', '316', '142'])).
147.10/147.39	tff('324', plain, sk_R(x, u, u),
147.10/147.39	    inference('simplify', [status(thm)], ['323'])).
147.10/147.39	tff('325', plain, (~ $true | ~ $true),
147.10/147.39	    inference('demod', [status(thm)], ['322', '324'])).
147.10/147.39	tff('326', plain, $false, inference('simplify', [status(thm)], ['325'])).
147.10/147.39	
147.10/147.39	% SZS output end Refutation
147.10/147.40	EOF
