0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n107.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 17:59:54 CST 2018
32.42/32.63	% done 10011 iterations in 32.434s
32.42/32.63	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
32.42/32.63	% SZS output start Refutation
32.42/32.64	tff(cS_LEM2_pme, conjecture,
32.42/32.64	  (((![X:(iS > $o)]:
32.42/32.64	       (((![Xx:iS,Xy:iS]: ((X(Xy) & X(Xx)) => X(cP(Xx,Xy)))) & X(c0)) =>
32.42/32.64	        (![Xx:iS]: X(Xx)))) & 
32.42/32.64	    (![Xx:iS,Xy:iS,Xu:iS,Xv:iS]:
32.42/32.64	       ((cP(Xx,Xu) = cP(Xy,Xv)) => ((Xu = Xv) & (Xx = Xy)))) & 
32.42/32.64	    (![Xx:iS,Xy:iS]: (cP(Xx,Xy) != c0))) =>
32.42/32.64	   (![Xx:iS,Xy:iS,Xu:iS,Xv:iS]:
32.42/32.64	      (((![R:((iS * iS * iS) > $o)]:
32.42/32.64	           ((![Xa:iS,Xb:iS,Xc:iS]:
32.42/32.64	               (((?[Xx1:iS,Xx2:iS,Xy1:iS,Xy2:iS,Xz1:iS,Xz2:iS]:
32.42/32.64	                    (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
32.42/32.64	                     (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
32.42/32.64	                 ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
32.42/32.64	                R(Xa,Xb,Xc))) =>
32.42/32.64	            R(Xu,Xv,Xv))) & 
32.42/32.64	        (![R:((iS * iS * iS) > $o)]:
32.42/32.64	           ((![Xa:iS,Xb:iS,Xc:iS]:
32.42/32.64	               (((?[Xx1:iS,Xx2:iS,Xy1:iS,Xy2:iS,Xz1:iS,Xz2:iS]:
32.42/32.64	                    (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
32.42/32.64	                     (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
32.42/32.64	                 ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
32.42/32.64	                R(Xa,Xb,Xc))) =>
32.42/32.64	            R(Xx,Xy,Xy)))) =>
32.42/32.64	       (![R:((iS * iS * iS) > $o)]:
32.42/32.64	          ((![Xa:iS,Xb:iS,Xc:iS]:
32.42/32.64	              (((?[Xx1:iS,Xx2:iS,Xy1:iS,Xy2:iS,Xz1:iS,Xz2:iS]:
32.42/32.64	                   (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
32.42/32.64	                    (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
32.42/32.64	                ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
32.42/32.64	               R(Xa,Xb,Xc))) =>
32.42/32.64	           R(cP(Xx,Xu),cP(Xy,Xv),cP(Xy,Xv)))))))).
32.42/32.64	tff(zf_stmt_0, negated_conjecture,
32.42/32.64	  (~
32.42/32.64	    (((![X:(iS > $o)]:
32.42/32.64	         (((![Xx:iS,Xy:iS]: ((X(Xy) & X(Xx)) => X(cP(Xx,Xy)))) & X(c0)) =>
32.42/32.64	          (![Xx:iS]: X(Xx)))) & 
32.42/32.64	      (![Xx:iS,Xy:iS,Xu:iS,Xv:iS]:
32.42/32.64	         ((cP(Xx,Xu) = cP(Xy,Xv)) => ((Xu = Xv) & (Xx = Xy)))) & 
32.42/32.64	      (![Xx:iS,Xy:iS]: (cP(Xx,Xy) != c0))) =>
32.42/32.64	     (![Xx:iS,Xy:iS,Xu:iS,Xv:iS]:
32.42/32.64	        (((![R:((iS * iS * iS) > $o)]:
32.42/32.64	             ((![Xa:iS,Xb:iS,Xc:iS]:
32.42/32.64	                 (((?[Xx1:iS,Xx2:iS,Xy1:iS,Xy2:iS,Xz1:iS,Xz2:iS]:
32.42/32.64	                      (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & 
32.42/32.64	                       (Xc = cP(Xz1,Xz2)) & (Xb = cP(Xy1,Xy2)) & 
32.42/32.64	                       (Xa = cP(Xx1,Xx2)))) | 
32.42/32.64	                   ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
32.42/32.64	                  R(Xa,Xb,Xc))) =>
32.42/32.64	              R(Xu,Xv,Xv))) & 
32.42/32.64	          (![R:((iS * iS * iS) > $o)]:
32.42/32.64	             ((![Xa:iS,Xb:iS,Xc:iS]:
32.42/32.64	                 (((?[Xx1:iS,Xx2:iS,Xy1:iS,Xy2:iS,Xz1:iS,Xz2:iS]:
32.42/32.64	                      (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & 
32.42/32.64	                       (Xc = cP(Xz1,Xz2)) & (Xb = cP(Xy1,Xy2)) & 
32.42/32.64	                       (Xa = cP(Xx1,Xx2)))) | 
32.42/32.64	                   ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
32.42/32.64	                  R(Xa,Xb,Xc))) =>
32.42/32.64	              R(Xx,Xy,Xy)))) =>
32.42/32.64	         (![R:((iS * iS * iS) > $o)]:
32.42/32.64	            ((![Xa:iS,Xb:iS,Xc:iS]:
32.42/32.64	                (((?[Xx1:iS,Xx2:iS,Xy1:iS,Xy2:iS,Xz1:iS,Xz2:iS]:
32.42/32.64	                     (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
32.42/32.64	                      (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
32.42/32.64	                  ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
32.42/32.64	                 R(Xa,Xb,Xc))) =>
32.42/32.64	             R(cP(Xx,Xu),cP(Xy,Xv),cP(Xy,Xv))))))))).
32.42/32.64	tff('0', plain,
32.42/32.64	    ![X9 : (iS * iS * iS) > $o]:
32.42/32.64	      (X9(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	       | sk_Xb1(X9) = cP(sk_Xy11(X9), sk_Xy21(X9))
32.42/32.64	       | sk_Xa1(X9) = sk_Xc1(X9)
32.42/32.64	       | sk_Xa1(X9) = c0),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('1', plain, ![X6 : iS, X7 : iS]: cP(X6, X7) != c0,
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('2', plain,
32.42/32.64	    ![X0 : (iS * iS * iS) > $o]:
32.42/32.64	      (sk_Xb1(X0) != c0
32.42/32.64	       | sk_Xa1(X0) = c0
32.42/32.64	       | sk_Xa1(X0) = sk_Xc1(X0)
32.42/32.64	       | X0(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.64	    inference('sup-', [status(thm)], ['0', '1'])).
32.42/32.64	tff('3', plain,
32.42/32.64	    ![X8 : (iS * iS * iS) > $o]:
32.42/32.64	      (X8(sk_Xx, sk_Xy, sk_Xy)
32.42/32.64	       | sk_Xa(X8) = cP(sk_Xx1(X8), sk_Xx2(X8))
32.42/32.64	       | sk_Xa(X8) = sk_Xc(X8)
32.42/32.64	       | sk_Xb(X8) = sk_Xc(X8)),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('4', plain,
32.42/32.64	    ![X0 : (iS * iS * iS) > $o]:
32.42/32.64	      (sk_Xa(X0) != c0
32.42/32.64	       | sk_Xb(X0) = sk_Xc(X0)
32.42/32.64	       | sk_Xa(X0) = sk_Xc(X0)
32.42/32.64	       | X0(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.64	    inference('sup-', [status(thm)], ['3', '1'])).
32.42/32.64	tff('5', plain,
32.42/32.64	    ![X10 : iS, X11 : iS, X12 : iS, X13 : iS, X14 : iS, X15 : iS, X16 : iS, 
32.42/32.64	      X17 : iS, X18 : iS]:
32.42/32.64	      (sk_R(X10, X11, X12)
32.42/32.64	       | ~ sk_R(X13, X14, X15)
32.42/32.64	       | X11 != cP(X14, X16)
32.42/32.64	       | X10 != cP(X13, X17)
32.42/32.64	       | X12 != cP(X15, X18)
32.42/32.64	       | ~ sk_R(X17, X16, X18)),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('6', plain,
32.42/32.64	    ![X13 : iS, X14 : iS, X15 : iS, X16 : iS, X17 : iS, X18 : iS]:
32.42/32.64	      (~ sk_R(X17, X16, X18)
32.42/32.64	       | ~ sk_R(X13, X14, X15)
32.42/32.64	       | sk_R(cP(X13, X17), cP(X14, X16), cP(X15, X18))),
32.42/32.64	    inference('simplify', [status(thm)], ['5'])).
32.42/32.64	tff('7', plain, ~ sk_R(cP(sk_Xx, sk_Xu), cP(sk_Xy, sk_Xv), cP(sk_Xy, sk_Xv)),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('8', plain,
32.42/32.64	    (~ $true | ~ sk_R(sk_Xx, sk_Xy, sk_Xy) | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.64	    inference('sup-', [status(thm)], ['6', '7'])).
32.42/32.64	tff('9', plain, (~ sk_R(sk_Xu, sk_Xv, sk_Xv) | ~ sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.64	    inference('simplify', [status(thm)], ['8'])).
32.42/32.64	tff('10', plain,
32.42/32.64	    (~ $true
32.42/32.64	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.64	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.64	     | sk_Xa(sk_R) != c0
32.42/32.64	     | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.64	    inference('sup-', [status(thm)], ['4', '9'])).
32.42/32.64	tff('11', plain,
32.42/32.64	    (~ sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	     | sk_Xa(sk_R) != c0
32.42/32.64	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.64	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
32.42/32.64	    inference('simplify', [status(thm)], ['10'])).
32.42/32.64	tff('12', plain,
32.42/32.64	    (~ $true
32.42/32.64	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.64	     | sk_Xa1(sk_R) = c0
32.42/32.64	     | sk_Xb1(sk_R) != c0
32.42/32.64	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.64	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.64	     | sk_Xa(sk_R) != c0),
32.42/32.64	    inference('sup-', [status(thm)], ['2', '11'])).
32.42/32.64	tff('13', plain,
32.42/32.64	    (sk_Xa(sk_R) != c0
32.42/32.64	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.64	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.64	     | sk_Xb1(sk_R) != c0
32.42/32.64	     | sk_Xa1(sk_R) = c0
32.42/32.64	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.64	    inference('simplify', [status(thm)], ['12'])).
32.42/32.64	tff('14', plain,
32.42/32.64	    ![X9 : (iS * iS * iS) > $o]:
32.42/32.64	      (X9(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	       | sk_Xa1(X9) = cP(sk_Xx11(X9), sk_Xx21(X9))
32.42/32.64	       | sk_Xa1(X9) = sk_Xc1(X9)
32.42/32.64	       | sk_Xb1(X9) = sk_Xc1(X9)),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('15', plain,
32.42/32.64	    ![X0 : (iS * iS * iS) > $o]:
32.42/32.64	      (sk_Xa1(X0) != c0
32.42/32.64	       | sk_Xb1(X0) = sk_Xc1(X0)
32.42/32.64	       | sk_Xa1(X0) = sk_Xc1(X0)
32.42/32.64	       | X0(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.64	    inference('sup-', [status(thm)], ['14', '1'])).
32.42/32.64	tff('16', plain,
32.42/32.64	    ![X9 : (iS * iS * iS) > $o]:
32.42/32.64	      (X9(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	       | X9(sk_Xx21(X9), sk_Xy21(X9), sk_Xz21(X9))
32.42/32.64	       | sk_Xb1(X9) = c0
32.42/32.64	       | sk_Xa1(X9) = c0),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('17', plain,
32.42/32.64	    ![X9 : (iS * iS * iS) > $o]:
32.42/32.64	      (X9(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	       | sk_Xc1(X9) = cP(sk_Xz11(X9), sk_Xz21(X9))
32.42/32.64	       | sk_Xb1(X9) = c0
32.42/32.64	       | sk_Xa1(X9) = c0),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('18', plain,
32.42/32.64	    ![X9 : (iS * iS * iS) > $o]:
32.42/32.64	      (X9(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	       | sk_Xb1(X9) = cP(sk_Xy11(X9), sk_Xy21(X9))
32.42/32.64	       | sk_Xb1(X9) = c0
32.42/32.64	       | sk_Xa1(X9) = c0),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('19', plain,
32.42/32.64	    ![X9 : (iS * iS * iS) > $o]:
32.42/32.64	      (X9(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	       | sk_Xa1(X9) = cP(sk_Xx11(X9), sk_Xx21(X9))
32.42/32.64	       | sk_Xb1(X9) = c0
32.42/32.64	       | sk_Xa1(X9) = c0),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('20', plain,
32.42/32.64	    ![X0 : (iS * iS * iS) > $o, X1 : iS, X2 : iS, X3 : iS, X4 : iS]:
32.42/32.64	      (sk_R(sk_Xa1(X0), cP(X4, X3), cP(X2, X1))
32.42/32.64	       | sk_Xa1(X0) = c0
32.42/32.64	       | sk_Xb1(X0) = c0
32.42/32.64	       | X0(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	       | ~ sk_R(sk_Xx11(X0), X4, X2)
32.42/32.64	       | ~ sk_R(sk_Xx21(X0), X3, X1)),
32.42/32.64	    inference('sup+', [status(thm)], ['19', '6'])).
32.42/32.64	tff('21', plain,
32.42/32.64	    ![X0 : (iS * iS * iS) > $o, X1 : iS, X2 : iS, X3 : (iS * iS * iS) > $o]:
32.42/32.64	      (sk_R(sk_Xa1(X3), sk_Xb1(X0), cP(X2, X1))
32.42/32.64	       | sk_Xa1(X0) = c0
32.42/32.64	       | sk_Xb1(X0) = c0
32.42/32.64	       | X0(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	       | ~ sk_R(sk_Xx21(X3), sk_Xy21(X0), X1)
32.42/32.64	       | ~ sk_R(sk_Xx11(X3), sk_Xy11(X0), X2)
32.42/32.64	       | X3(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	       | sk_Xb1(X3) = c0
32.42/32.64	       | sk_Xa1(X3) = c0),
32.42/32.64	    inference('sup+', [status(thm)], ['18', '20'])).
32.42/32.64	tff('22', plain,
32.42/32.64	    ![X0 : (iS * iS * iS) > $o, X1 : (iS * iS * iS) > $o, 
32.42/32.64	      X2 : (iS * iS * iS) > $o]:
32.42/32.64	      (sk_R(sk_Xa1(X2), sk_Xb1(X1), sk_Xc1(X0))
32.42/32.64	       | sk_Xa1(X0) = c0
32.42/32.64	       | sk_Xb1(X0) = c0
32.42/32.64	       | X0(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	       | sk_Xa1(X2) = c0
32.42/32.64	       | sk_Xb1(X2) = c0
32.42/32.64	       | X2(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	       | ~ sk_R(sk_Xx11(X2), sk_Xy11(X1), sk_Xz11(X0))
32.42/32.64	       | ~ sk_R(sk_Xx21(X2), sk_Xy21(X1), sk_Xz21(X0))
32.42/32.64	       | X1(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	       | sk_Xb1(X1) = c0
32.42/32.64	       | sk_Xa1(X1) = c0),
32.42/32.64	    inference('sup+', [status(thm)], ['17', '21'])).
32.42/32.64	tff('23', plain,
32.42/32.64	    (~ $true
32.42/32.64	     | sk_Xa1(sk_R) = c0
32.42/32.64	     | sk_Xb1(sk_R) = c0
32.42/32.64	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	     | sk_Xa1(sk_R) = c0
32.42/32.64	     | sk_Xb1(sk_R) = c0
32.42/32.64	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))
32.42/32.64	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	     | sk_Xb1(sk_R) = c0
32.42/32.64	     | sk_Xa1(sk_R) = c0
32.42/32.64	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	     | sk_Xb1(sk_R) = c0
32.42/32.64	     | sk_Xa1(sk_R) = c0
32.42/32.64	     | sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))),
32.42/32.64	    inference('sup-', [status(thm)], ['16', '22'])).
32.42/32.64	tff('24', plain,
32.42/32.64	    (sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xc1(sk_R))
32.42/32.64	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))
32.42/32.64	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	     | sk_Xb1(sk_R) = c0
32.42/32.64	     | sk_Xa1(sk_R) = c0),
32.42/32.64	    inference('simplify', [status(thm)], ['23'])).
32.42/32.64	tff('25', plain,
32.42/32.64	    ![X9 : (iS * iS * iS) > $o]:
32.42/32.64	      (X9(sk_Xu, sk_Xv, sk_Xv) | ~ X9(sk_Xa1(X9), sk_Xb1(X9), sk_Xc1(X9))),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('26', plain,
32.42/32.64	    (sk_Xa1(sk_R) = c0
32.42/32.64	     | sk_Xb1(sk_R) = c0
32.42/32.64	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	     | ~ sk_R(sk_Xx11(sk_R), sk_Xy11(sk_R), sk_Xz11(sk_R))),
32.42/32.64	    inference('clc', [status(thm)], ['24', '25'])).
32.42/32.64	tff('27', plain,
32.42/32.64	    ![X9 : (iS * iS * iS) > $o]:
32.42/32.64	      (X9(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	       | X9(sk_Xx11(X9), sk_Xy11(X9), sk_Xz11(X9))
32.42/32.64	       | sk_Xb1(X9) = c0
32.42/32.64	       | sk_Xa1(X9) = c0),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('28', plain,
32.42/32.64	    (sk_R(sk_Xu, sk_Xv, sk_Xv) | sk_Xb1(sk_R) = c0 | sk_Xa1(sk_R) = c0),
32.42/32.64	    inference('clc', [status(thm)], ['26', '27'])).
32.42/32.64	tff('29', plain,
32.42/32.64	    ![X8 : (iS * iS * iS) > $o]:
32.42/32.64	      (X8(sk_Xx, sk_Xy, sk_Xy)
32.42/32.64	       | sk_Xb(X8) = cP(sk_Xy1(X8), sk_Xy2(X8))
32.42/32.64	       | sk_Xa(X8) = sk_Xc(X8)
32.42/32.64	       | sk_Xa(X8) = c0),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('30', plain,
32.42/32.64	    ![X0 : (iS * iS * iS) > $o]:
32.42/32.64	      (sk_Xb(X0) != c0
32.42/32.64	       | sk_Xa(X0) = c0
32.42/32.64	       | sk_Xa(X0) = sk_Xc(X0)
32.42/32.64	       | X0(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.64	    inference('sup-', [status(thm)], ['29', '1'])).
32.42/32.64	tff('31', plain,
32.42/32.64	    (~ $true
32.42/32.64	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.64	     | sk_Xa(sk_R) = c0
32.42/32.64	     | sk_Xb(sk_R) != c0
32.42/32.64	     | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.64	    inference('sup-', [status(thm)], ['30', '9'])).
32.42/32.64	tff('32', plain,
32.42/32.64	    (~ sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.64	     | sk_Xb(sk_R) != c0
32.42/32.64	     | sk_Xa(sk_R) = c0
32.42/32.64	     | sk_Xa(sk_R) = sk_Xc(sk_R)),
32.42/32.64	    inference('simplify', [status(thm)], ['31'])).
32.42/32.64	tff('33', plain,
32.42/32.64	    (~ $true
32.42/32.64	     | sk_Xa1(sk_R) = c0
32.42/32.64	     | sk_Xb1(sk_R) = c0
32.42/32.64	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.64	     | sk_Xa(sk_R) = c0
32.42/32.64	     | sk_Xb(sk_R) != c0),
32.42/32.64	    inference('sup-', [status(thm)], ['28', '32'])).
32.42/32.64	tff('34', plain,
32.42/32.64	    (sk_Xb(sk_R) != c0
32.42/32.64	     | sk_Xa(sk_R) = c0
32.42/32.64	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.64	     | sk_Xb1(sk_R) = c0
32.42/32.64	     | sk_Xa1(sk_R) = c0),
32.42/32.64	    inference('simplify', [status(thm)], ['33'])).
32.42/32.64	tff('35', plain,
32.42/32.64	    ![X8 : (iS * iS * iS) > $o]:
32.42/32.64	      (X8(sk_Xx, sk_Xy, sk_Xy)
32.42/32.64	       | X8(sk_Xx2(X8), sk_Xy2(X8), sk_Xz2(X8))
32.42/32.64	       | sk_Xb(X8) = c0
32.42/32.64	       | sk_Xa(X8) = c0),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('36', plain,
32.42/32.64	    ![X8 : (iS * iS * iS) > $o]:
32.42/32.64	      (X8(sk_Xx, sk_Xy, sk_Xy)
32.42/32.64	       | sk_Xc(X8) = cP(sk_Xz1(X8), sk_Xz2(X8))
32.42/32.64	       | sk_Xb(X8) = c0
32.42/32.64	       | sk_Xa(X8) = c0),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('37', plain,
32.42/32.64	    ![X8 : (iS * iS * iS) > $o]:
32.42/32.64	      (X8(sk_Xx, sk_Xy, sk_Xy)
32.42/32.64	       | sk_Xb(X8) = cP(sk_Xy1(X8), sk_Xy2(X8))
32.42/32.64	       | sk_Xb(X8) = c0
32.42/32.64	       | sk_Xa(X8) = c0),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('38', plain,
32.42/32.64	    ![X8 : (iS * iS * iS) > $o]:
32.42/32.64	      (X8(sk_Xx, sk_Xy, sk_Xy)
32.42/32.64	       | sk_Xa(X8) = cP(sk_Xx1(X8), sk_Xx2(X8))
32.42/32.64	       | sk_Xb(X8) = c0
32.42/32.64	       | sk_Xa(X8) = c0),
32.42/32.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.64	tff('39', plain,
32.42/32.64	    ![X0 : (iS * iS * iS) > $o, X1 : iS, X2 : iS, X3 : iS, X4 : iS]:
32.42/32.64	      (sk_R(sk_Xa(X0), cP(X4, X3), cP(X2, X1))
32.42/32.64	       | sk_Xa(X0) = c0
32.42/32.64	       | sk_Xb(X0) = c0
32.42/32.64	       | X0(sk_Xx, sk_Xy, sk_Xy)
32.42/32.64	       | ~ sk_R(sk_Xx1(X0), X4, X2)
32.42/32.64	       | ~ sk_R(sk_Xx2(X0), X3, X1)),
32.42/32.64	    inference('sup+', [status(thm)], ['38', '6'])).
32.42/32.64	tff('40', plain,
32.42/32.64	    ![X0 : (iS * iS * iS) > $o, X1 : iS, X2 : iS, X3 : (iS * iS * iS) > $o]:
32.42/32.64	      (sk_R(sk_Xa(X3), sk_Xb(X0), cP(X2, X1))
32.42/32.64	       | sk_Xa(X0) = c0
32.42/32.64	       | sk_Xb(X0) = c0
32.42/32.64	       | X0(sk_Xx, sk_Xy, sk_Xy)
32.42/32.64	       | ~ sk_R(sk_Xx2(X3), sk_Xy2(X0), X1)
32.42/32.65	       | ~ sk_R(sk_Xx1(X3), sk_Xy1(X0), X2)
32.42/32.65	       | X3(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	       | sk_Xb(X3) = c0
32.42/32.65	       | sk_Xa(X3) = c0),
32.42/32.65	    inference('sup+', [status(thm)], ['37', '39'])).
32.42/32.65	tff('41', plain,
32.42/32.65	    ![X0 : (iS * iS * iS) > $o, X1 : (iS * iS * iS) > $o, 
32.42/32.65	      X2 : (iS * iS * iS) > $o]:
32.42/32.65	      (sk_R(sk_Xa(X2), sk_Xb(X1), sk_Xc(X0))
32.42/32.65	       | sk_Xa(X0) = c0
32.42/32.65	       | sk_Xb(X0) = c0
32.42/32.65	       | X0(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	       | sk_Xa(X2) = c0
32.42/32.65	       | sk_Xb(X2) = c0
32.42/32.65	       | X2(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	       | ~ sk_R(sk_Xx1(X2), sk_Xy1(X1), sk_Xz1(X0))
32.42/32.65	       | ~ sk_R(sk_Xx2(X2), sk_Xy2(X1), sk_Xz2(X0))
32.42/32.65	       | X1(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	       | sk_Xb(X1) = c0
32.42/32.65	       | sk_Xa(X1) = c0),
32.42/32.65	    inference('sup+', [status(thm)], ['36', '40'])).
32.42/32.65	tff('42', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))),
32.42/32.65	    inference('sup-', [status(thm)], ['35', '41'])).
32.42/32.65	tff('43', plain,
32.42/32.65	    (sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xc(sk_R))
32.42/32.65	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['42'])).
32.42/32.65	tff('44', plain,
32.42/32.65	    ![X8 : (iS * iS * iS) > $o]:
32.42/32.65	      (X8(sk_Xx, sk_Xy, sk_Xy) | ~ X8(sk_Xa(X8), sk_Xb(X8), sk_Xc(X8))),
32.42/32.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.65	tff('45', plain,
32.42/32.65	    (sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | ~ sk_R(sk_Xx1(sk_R), sk_Xy1(sk_R), sk_Xz1(sk_R))),
32.42/32.65	    inference('clc', [status(thm)], ['43', '44'])).
32.42/32.65	tff('46', plain,
32.42/32.65	    ![X8 : (iS * iS * iS) > $o]:
32.42/32.65	      (X8(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	       | X8(sk_Xx1(X8), sk_Xy1(X8), sk_Xz1(X8))
32.42/32.65	       | sk_Xb(X8) = c0
32.42/32.65	       | sk_Xa(X8) = c0),
32.42/32.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.65	tff('47', plain,
32.42/32.65	    (sk_R(sk_Xx, sk_Xy, sk_Xy) | sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['45', '46'])).
32.42/32.65	tff('48', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['47', '9'])).
32.42/32.65	tff('49', plain,
32.42/32.65	    (~ sk_R(sk_Xu, sk_Xv, sk_Xv) | sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['48'])).
32.42/32.65	tff('50', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['28', '49'])).
32.42/32.65	tff('51', plain,
32.42/32.65	    (sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['50'])).
32.42/32.65	tff('52', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['2', '49'])).
32.42/32.65	tff('53', plain,
32.42/32.65	    (sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['52'])).
32.42/32.65	tff('54', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xa1(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['53', '25'])).
32.42/32.65	tff('55', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['51', '54'])).
32.42/32.65	tff('56', plain,
32.42/32.65	    ![X10 : iS, X11 : iS, X12 : iS]:
32.42/32.65	      (sk_R(X10, X11, X12) | X10 != X12 | X11 != c0),
32.42/32.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.65	tff('57', plain, ![X12 : iS]: sk_R(X12, c0, X12),
32.42/32.65	    inference('simplify', [status(thm)], ['56'])).
32.42/32.65	tff('58', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['55', '57'])).
32.42/32.65	tff('59', plain,
32.42/32.65	    (sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['58'])).
32.42/32.65	tff('60', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['59', '49'])).
32.42/32.65	tff('61', plain,
32.42/32.65	    (sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['60'])).
32.42/32.65	tff('62', plain,
32.42/32.65	    (c0 != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['51', '61'])).
32.42/32.65	tff('63', plain, (sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['62'])).
32.42/32.65	tff('64', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('sup-', [status(thm)], ['63', '44'])).
32.42/32.65	tff('65', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xa(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['34', '64'])).
32.42/32.65	tff('66', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['65', '57'])).
32.42/32.65	tff('67', plain,
32.42/32.65	    (sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['66'])).
32.42/32.65	tff('68', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['67', '9'])).
32.42/32.65	tff('69', plain,
32.42/32.65	    (~ sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['68'])).
32.42/32.65	tff('70', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['28', '69'])).
32.42/32.65	tff('71', plain,
32.42/32.65	    (sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['70'])).
32.42/32.65	tff('72', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['2', '32'])).
32.42/32.65	tff('73', plain,
32.42/32.65	    (sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['72'])).
32.42/32.65	tff('74', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xa1(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['73', '25'])).
32.42/32.65	tff('75', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['71', '74'])).
32.42/32.65	tff('76', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['75', '57'])).
32.42/32.65	tff('77', plain,
32.42/32.65	    (sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['76'])).
32.42/32.65	tff('78', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['77', '32'])).
32.42/32.65	tff('79', plain,
32.42/32.65	    (sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['78'])).
32.42/32.65	tff('80', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xa(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['79', '64'])).
32.42/32.65	tff('81', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['80', '57'])).
32.42/32.65	tff('82', plain,
32.42/32.65	    (sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['81'])).
32.42/32.65	tff('83', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['82', '9'])).
32.42/32.65	tff('84', plain,
32.42/32.65	    (~ sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['83'])).
32.42/32.65	tff('85', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['2', '84'])).
32.42/32.65	tff('86', plain,
32.42/32.65	    (sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['85'])).
32.42/32.65	tff('87', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['71', '25'])).
32.42/32.65	tff('88', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | ~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))),
32.42/32.65	    inference('clc', [status(thm)], ['87', '63'])).
32.42/32.65	tff('89', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['86', '88'])).
32.42/32.65	tff('90', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('demod', [status(thm)], ['89', '57'])).
32.42/32.65	tff('91', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['90'])).
32.42/32.65	tff('92', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['91', '84'])).
32.42/32.65	tff('93', plain,
32.42/32.65	    (sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['92'])).
32.42/32.65	tff('94', plain,
32.42/32.65	    (c0 != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['71', '93'])).
32.42/32.65	tff('95', plain, (sk_Xb(sk_R) != c0 | sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['94'])).
32.42/32.65	tff('96', plain, (sk_Xa1(sk_R) = c0 | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['95', '63'])).
32.42/32.65	tff('97', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['15', '32'])).
32.42/32.65	tff('98', plain,
32.42/32.65	    (sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['97'])).
32.42/32.65	tff('99', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['98', '25'])).
32.42/32.65	tff('100', plain,
32.42/32.65	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('sup-', [status(thm)], ['96', '99'])).
32.42/32.65	tff('101', plain,
32.42/32.65	    ![X10 : iS, X11 : iS, X12 : iS]:
32.42/32.65	      (sk_R(X10, X11, X12) | X11 != X12 | X10 != c0),
32.42/32.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.65	tff('102', plain, ![X12 : iS]: sk_R(c0, X12, X12),
32.42/32.65	    inference('simplify', [status(thm)], ['101'])).
32.42/32.65	tff('103', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('demod', [status(thm)], ['100', '102'])).
32.42/32.65	tff('104', plain,
32.42/32.65	    (sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['103'])).
32.42/32.65	tff('105', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['104', '32'])).
32.42/32.65	tff('106', plain,
32.42/32.65	    (sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['105'])).
32.42/32.65	tff('107', plain,
32.42/32.65	    ![X9 : (iS * iS * iS) > $o]:
32.42/32.65	      (X9(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	       | sk_Xa1(X9) = cP(sk_Xx11(X9), sk_Xx21(X9))
32.42/32.65	       | sk_Xb1(X9) = c0
32.42/32.65	       | sk_Xb1(X9) = sk_Xc1(X9)),
32.42/32.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.65	tff('108', plain,
32.42/32.65	    ![X0 : (iS * iS * iS) > $o]:
32.42/32.65	      (sk_Xa1(X0) != c0
32.42/32.65	       | sk_Xb1(X0) = sk_Xc1(X0)
32.42/32.65	       | sk_Xb1(X0) = c0
32.42/32.65	       | X0(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['107', '1'])).
32.42/32.65	tff('109', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['108', '32'])).
32.42/32.65	tff('110', plain,
32.42/32.65	    (sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['109'])).
32.42/32.65	tff('111', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['110', '25'])).
32.42/32.65	tff('112', plain,
32.42/32.65	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['96', '111'])).
32.42/32.65	tff('113', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['112', '102'])).
32.42/32.65	tff('114', plain,
32.42/32.65	    (sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['113'])).
32.42/32.65	tff('115', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['114', '32'])).
32.42/32.65	tff('116', plain,
32.42/32.65	    (sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['115'])).
32.42/32.65	tff('117', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['108', '49'])).
32.42/32.65	tff('118', plain,
32.42/32.65	    (sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['117'])).
32.42/32.65	tff('119', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['118', '25'])).
32.42/32.65	tff('120', plain,
32.42/32.65	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['96', '119'])).
32.42/32.65	tff('121', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['120', '102'])).
32.42/32.65	tff('122', plain,
32.42/32.65	    (sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['121'])).
32.42/32.65	tff('123', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['122', '49'])).
32.42/32.65	tff('124', plain,
32.42/32.65	    (sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['123'])).
32.42/32.65	tff('125', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['15', '49'])).
32.42/32.65	tff('126', plain,
32.42/32.65	    (sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['125'])).
32.42/32.65	tff('127', plain,
32.42/32.65	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('eq_fact', [status(thm)], ['126'])).
32.42/32.65	tff('128', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xa1(sk_R))
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['127', '25'])).
32.42/32.65	tff('129', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['124', '128'])).
32.42/32.65	tff('130', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['129', '57'])).
32.42/32.65	tff('131', plain,
32.42/32.65	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['130'])).
32.42/32.65	tff('132', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) != sk_Xa1(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['131', '49'])).
32.42/32.65	tff('133', plain,
32.42/32.65	    (sk_Xb1(sk_R) != sk_Xa1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['132'])).
32.42/32.65	tff('134', plain,
32.42/32.65	    (c0 != sk_Xa1(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['124', '133'])).
32.42/32.65	tff('135', plain, (sk_Xb(sk_R) = c0 | sk_Xa(sk_R) = c0 | c0 != sk_Xa1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['134'])).
32.42/32.65	tff('136', plain, (sk_Xa(sk_R) = c0 | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['135', '96'])).
32.42/32.65	tff('137', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R))
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('sup-', [status(thm)], ['136', '44'])).
32.42/32.65	tff('138', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xa(sk_R))
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['116', '137'])).
32.42/32.65	tff('139', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['138', '57'])).
32.42/32.65	tff('140', plain,
32.42/32.65	    (sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['139'])).
32.42/32.65	tff('141', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['140', '9'])).
32.42/32.65	tff('142', plain,
32.42/32.65	    (~ sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['141'])).
32.42/32.65	tff('143', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['108', '142'])).
32.42/32.65	tff('144', plain,
32.42/32.65	    (sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['143'])).
32.42/32.65	tff('145', plain,
32.42/32.65	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R))
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['96', '25'])).
32.42/32.65	tff('146', plain,
32.42/32.65	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['144', '145'])).
32.42/32.65	tff('147', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['146', '102'])).
32.42/32.65	tff('148', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['147'])).
32.42/32.65	tff('149', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['148', '142'])).
32.42/32.65	tff('150', plain,
32.42/32.65	    (sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['149'])).
32.42/32.65	tff('151', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['150', '25'])).
32.42/32.65	tff('152', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | ~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))),
32.42/32.65	    inference('clc', [status(thm)], ['151', '96'])).
32.42/32.65	tff('153', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('clc', [status(thm)], ['152', '136'])).
32.42/32.65	tff('154', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['106', '153'])).
32.42/32.65	tff('155', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['154', '57'])).
32.42/32.65	tff('156', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['155'])).
32.42/32.65	tff('157', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['156', '32'])).
32.42/32.65	tff('158', plain,
32.42/32.65	    (sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['157'])).
32.42/32.65	tff('159', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xa(sk_R))
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['158', '137'])).
32.42/32.65	tff('160', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['159', '57'])).
32.42/32.65	tff('161', plain,
32.42/32.65	    (sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['160'])).
32.42/32.65	tff('162', plain,
32.42/32.65	    (sk_Xa(sk_R) = c0 | sk_Xb(sk_R) != c0 | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('clc', [status(thm)], ['161', '96'])).
32.42/32.65	tff('163', plain, (sk_R(sk_Xx, sk_Xy, sk_Xy) | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['162', '136'])).
32.42/32.65	tff('164', plain, (~ $true | sk_Xa(sk_R) = c0 | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['163', '9'])).
32.42/32.65	tff('165', plain, (~ sk_R(sk_Xu, sk_Xv, sk_Xv) | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['164'])).
32.42/32.65	tff('166', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['15', '165'])).
32.42/32.65	tff('167', plain,
32.42/32.65	    (sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['166'])).
32.42/32.65	tff('168', plain,
32.42/32.65	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['167', '145'])).
32.42/32.65	tff('169', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['168', '102'])).
32.42/32.65	tff('170', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['169'])).
32.42/32.65	tff('171', plain,
32.42/32.65	    (sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_Xa1(sk_R) != c0 | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['170', '165'])).
32.42/32.65	tff('172', plain, (sk_Xa(sk_R) = c0 | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('clc', [status(thm)], ['171', '96'])).
32.42/32.65	tff('173', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['108', '165'])).
32.42/32.65	tff('174', plain,
32.42/32.65	    (sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['173'])).
32.42/32.65	tff('175', plain,
32.42/32.65	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xb1(sk_R))
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['174', '145'])).
32.42/32.65	tff('176', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['175', '102'])).
32.42/32.65	tff('177', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['176'])).
32.42/32.65	tff('178', plain,
32.42/32.65	    (sk_Xb1(sk_R) = c0 | sk_Xa1(sk_R) != c0 | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['177', '165'])).
32.42/32.65	tff('179', plain, (sk_Xa(sk_R) = c0 | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['178', '96'])).
32.42/32.65	tff('180', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['179', '25'])).
32.42/32.65	tff('181', plain,
32.42/32.65	    (sk_Xa(sk_R) = c0 | ~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))),
32.42/32.65	    inference('clc', [status(thm)], ['180', '165'])).
32.42/32.65	tff('182', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
32.42/32.65	     | sk_Xa(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['172', '181'])).
32.42/32.65	tff('183', plain, (~ $true | sk_Xa(sk_R) = c0 | sk_Xa(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['182', '57'])).
32.42/32.65	tff('184', plain, sk_Xa(sk_R) = c0,
32.42/32.65	    inference('simplify', [status(thm)], ['183'])).
32.42/32.65	tff('185', plain,
32.42/32.65	    (c0 != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('demod', [status(thm)], ['13', '184', '184'])).
32.42/32.65	tff('186', plain,
32.42/32.65	    (sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['185'])).
32.42/32.65	tff('187', plain,
32.42/32.65	    ![X8 : (iS * iS * iS) > $o]:
32.42/32.65	      (X8(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	       | sk_Xa(X8) = cP(sk_Xx1(X8), sk_Xx2(X8))
32.42/32.65	       | sk_Xb(X8) = c0
32.42/32.65	       | sk_Xb(X8) = sk_Xc(X8)),
32.42/32.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.42/32.65	tff('188', plain,
32.42/32.65	    ![X0 : (iS * iS * iS) > $o]:
32.42/32.65	      (sk_Xa(X0) != c0
32.42/32.65	       | sk_Xb(X0) = sk_Xc(X0)
32.42/32.65	       | sk_Xb(X0) = c0
32.42/32.65	       | X0(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('sup-', [status(thm)], ['187', '1'])).
32.42/32.65	tff('189', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) != c0
32.42/32.65	     | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['188', '9'])).
32.42/32.65	tff('190', plain,
32.42/32.65	    (~ sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['189'])).
32.42/32.65	tff('191', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['2', '190'])).
32.42/32.65	tff('192', plain,
32.42/32.65	    (sk_Xa(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['191'])).
32.42/32.65	tff('193', plain,
32.42/32.65	    (c0 != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('demod', [status(thm)], ['192', '184'])).
32.42/32.65	tff('194', plain,
32.42/32.65	    (sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['193'])).
32.42/32.65	tff('195', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['28', '190'])).
32.42/32.65	tff('196', plain,
32.42/32.65	    (sk_Xa(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['195'])).
32.42/32.65	tff('197', plain,
32.42/32.65	    (c0 != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['196', '184'])).
32.42/32.65	tff('198', plain,
32.42/32.65	    (sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['197'])).
32.42/32.65	tff('199', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('sup-', [status(thm)], ['198', '44'])).
32.42/32.65	tff('200', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('demod', [status(thm)], ['199', '184', '102'])).
32.42/32.65	tff('201', plain,
32.42/32.65	    (sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['200'])).
32.42/32.65	tff('202', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['201', '9'])).
32.42/32.65	tff('203', plain,
32.42/32.65	    (~ sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['202'])).
32.42/32.65	tff('204', plain, (sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = c0 | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['203', '28'])).
32.42/32.65	tff('205', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['204', '25'])).
32.42/32.65	tff('206', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['194', '205'])).
32.42/32.65	tff('207', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['206', '57'])).
32.42/32.65	tff('208', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['207'])).
32.42/32.65	tff('209', plain,
32.42/32.65	    (~ sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | c0 != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['190', '184'])).
32.42/32.65	tff('210', plain,
32.42/32.65	    (sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('simplify', [status(thm)], ['209'])).
32.42/32.65	tff('211', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['208', '210'])).
32.42/32.65	tff('212', plain,
32.42/32.65	    (sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['211'])).
32.42/32.65	tff('213', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('sup-', [status(thm)], ['212', '44'])).
32.42/32.65	tff('214', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('demod', [status(thm)], ['213', '184', '102'])).
32.42/32.65	tff('215', plain,
32.42/32.65	    (sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['214'])).
32.42/32.65	tff('216', plain,
32.42/32.65	    (sk_Xb(sk_R) = c0 | sk_Xa1(sk_R) = c0 | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('clc', [status(thm)], ['215', '204'])).
32.42/32.65	tff('217', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['216', '9'])).
32.42/32.65	tff('218', plain,
32.42/32.65	    (~ sk_R(sk_Xu, sk_Xv, sk_Xv) | sk_Xb(sk_R) = c0 | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['217'])).
32.42/32.65	tff('219', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['2', '218'])).
32.42/32.65	tff('220', plain,
32.42/32.65	    (sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['219'])).
32.42/32.65	tff('221', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['220', '205'])).
32.42/32.65	tff('222', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['221', '57'])).
32.42/32.65	tff('223', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['222'])).
32.42/32.65	tff('224', plain,
32.42/32.65	    (sk_Xa1(sk_R) = c0 | sk_Xb1(sk_R) != c0 | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['223', '218'])).
32.42/32.65	tff('225', plain, (sk_Xb(sk_R) = c0 | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['224', '204'])).
32.42/32.65	tff('226', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['28', '11'])).
32.42/32.65	tff('227', plain,
32.42/32.65	    (sk_Xa(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['226'])).
32.42/32.65	tff('228', plain,
32.42/32.65	    (c0 != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['227', '184', '184'])).
32.42/32.65	tff('229', plain,
32.42/32.65	    (sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['228'])).
32.42/32.65	tff('230', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('sup-', [status(thm)], ['229', '44'])).
32.42/32.65	tff('231', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('demod', [status(thm)], ['230', '184', '102'])).
32.42/32.65	tff('232', plain,
32.42/32.65	    (sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | c0 = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['231'])).
32.42/32.65	tff('233', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['232', '9'])).
32.42/32.65	tff('234', plain,
32.42/32.65	    (~ sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | c0 = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['233'])).
32.42/32.65	tff('235', plain, (c0 = sk_Xc(sk_R) | sk_Xb1(sk_R) = c0 | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['234', '28'])).
32.42/32.65	tff('236', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), c0)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('sup-', [status(thm)], ['235', '44'])).
32.42/32.65	tff('237', plain,
32.42/32.65	    (~ sk_R(c0, sk_Xb(sk_R), c0)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('demod', [status(thm)], ['236', '184'])).
32.42/32.65	tff('238', plain,
32.42/32.65	    (~ sk_R(c0, c0, c0)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['225', '237'])).
32.42/32.65	tff('239', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['238', '102'])).
32.42/32.65	tff('240', plain,
32.42/32.65	    (sk_Xb1(sk_R) = c0 | sk_R(sk_Xx, sk_Xy, sk_Xy) | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['239'])).
32.42/32.65	tff('241', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['240', '9'])).
32.42/32.65	tff('242', plain,
32.42/32.65	    (~ sk_R(sk_Xu, sk_Xv, sk_Xv) | sk_Xb1(sk_R) = c0 | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['241'])).
32.42/32.65	tff('243', plain, (sk_Xa1(sk_R) = c0 | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['242', '28'])).
32.42/32.65	tff('244', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['243', '25'])).
32.42/32.65	tff('245', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['186', '244'])).
32.42/32.65	tff('246', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['245', '57'])).
32.42/32.65	tff('247', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['246'])).
32.42/32.65	tff('248', plain,
32.42/32.65	    (~ sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | c0 != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | c0 = sk_Xc(sk_R)),
32.42/32.65	    inference('demod', [status(thm)], ['11', '184', '184'])).
32.42/32.65	tff('249', plain,
32.42/32.65	    (c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('simplify', [status(thm)], ['248'])).
32.42/32.65	tff('250', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | c0 = sk_Xc(sk_R)),
32.42/32.65	    inference('sup-', [status(thm)], ['247', '249'])).
32.42/32.65	tff('251', plain,
32.42/32.65	    (sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['250'])).
32.42/32.65	tff('252', plain,
32.42/32.65	    (sk_Xb(sk_R) != c0
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('eq_fact', [status(thm)], ['251'])).
32.42/32.65	tff('253', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('sup-', [status(thm)], ['225', '44'])).
32.42/32.65	tff('254', plain,
32.42/32.65	    (~ sk_R(c0, c0, sk_Xc(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('demod', [status(thm)], ['253', '184'])).
32.42/32.65	tff('255', plain,
32.42/32.65	    (~ sk_R(c0, c0, c0)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['252', '254'])).
32.42/32.65	tff('256', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['255', '102'])).
32.42/32.65	tff('257', plain,
32.42/32.65	    (sk_R(sk_Xx, sk_Xy, sk_Xy)
32.42/32.65	     | sk_Xb(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['256'])).
32.42/32.65	tff('258', plain,
32.42/32.65	    (sk_Xa1(sk_R) = c0 | sk_Xb1(sk_R) != c0 | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('clc', [status(thm)], ['257', '225'])).
32.42/32.65	tff('259', plain, (sk_R(sk_Xx, sk_Xy, sk_Xy) | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['258', '243'])).
32.42/32.65	tff('260', plain,
32.42/32.65	    (~ $true | sk_Xa1(sk_R) = c0 | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['259', '9'])).
32.42/32.65	tff('261', plain, (~ sk_R(sk_Xu, sk_Xv, sk_Xv) | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['260'])).
32.42/32.65	tff('262', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) != c0
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['2', '261'])).
32.42/32.65	tff('263', plain,
32.42/32.65	    (sk_Xb1(sk_R) != c0 | sk_Xa1(sk_R) = c0 | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['262'])).
32.42/32.65	tff('264', plain, (sk_Xa1(sk_R) = sk_Xc1(sk_R) | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['263', '243'])).
32.42/32.65	tff('265', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xa1(sk_R))
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['264', '244'])).
32.42/32.65	tff('266', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['265', '57'])).
32.42/32.65	tff('267', plain, (sk_R(sk_Xu, sk_Xv, sk_Xv) | sk_Xa1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['266'])).
32.42/32.65	tff('268', plain, sk_Xa1(sk_R) = c0,
32.42/32.65	    inference('clc', [status(thm)], ['267', '261'])).
32.42/32.65	tff('269', plain,
32.42/32.65	    (~ sk_R(c0, sk_Xb1(sk_R), sk_Xc1(sk_R)) | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['268', '25'])).
32.42/32.65	tff('270', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['108', '11'])).
32.42/32.65	tff('271', plain,
32.42/32.65	    (sk_Xa(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['270'])).
32.42/32.65	tff('272', plain,
32.42/32.65	    (c0 != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['271', '184', '184'])).
32.42/32.65	tff('273', plain,
32.42/32.65	    (sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['272'])).
32.42/32.65	tff('274', plain,
32.42/32.65	    (sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | c0 != c0
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('demod', [status(thm)], ['273', '268'])).
32.42/32.65	tff('275', plain,
32.42/32.65	    (sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['274'])).
32.42/32.65	tff('276', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['275', '25'])).
32.42/32.65	tff('277', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('demod', [status(thm)], ['276', '268', '102'])).
32.42/32.65	tff('278', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['277'])).
32.42/32.65	tff('279', plain,
32.42/32.65	    (sk_Xb1(sk_R) = c0 | c0 = sk_Xc(sk_R) | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('clc', [status(thm)], ['278', '249'])).
32.42/32.65	tff('280', plain, (sk_Xb(sk_R) != c0 | c0 = sk_Xc(sk_R) | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('eq_fact', [status(thm)], ['279'])).
32.42/32.65	tff('281', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['108', '190'])).
32.42/32.65	tff('282', plain,
32.42/32.65	    (sk_Xa(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['281'])).
32.42/32.65	tff('283', plain,
32.42/32.65	    (c0 != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['282', '184'])).
32.42/32.65	tff('284', plain,
32.42/32.65	    (sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['283'])).
32.42/32.65	tff('285', plain,
32.42/32.65	    (sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | c0 != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('demod', [status(thm)], ['284', '268'])).
32.42/32.65	tff('286', plain,
32.42/32.65	    (sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['285'])).
32.42/32.65	tff('287', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['286', '25'])).
32.42/32.65	tff('288', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('demod', [status(thm)], ['287', '268', '102'])).
32.42/32.65	tff('289', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['288'])).
32.42/32.65	tff('290', plain,
32.42/32.65	    (sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = c0 | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('clc', [status(thm)], ['289', '210'])).
32.42/32.65	tff('291', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('sup-', [status(thm)], ['290', '44'])).
32.42/32.65	tff('292', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('demod', [status(thm)], ['291', '184', '102'])).
32.42/32.65	tff('293', plain,
32.42/32.65	    (sk_R(sk_Xx, sk_Xy, sk_Xy) | sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['292'])).
32.42/32.65	tff('294', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['293', '9'])).
32.42/32.65	tff('295', plain,
32.42/32.65	    (~ sk_R(sk_Xu, sk_Xv, sk_Xv) | sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['294'])).
32.42/32.65	tff('296', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['108', '295'])).
32.42/32.65	tff('297', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | c0 != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['296', '268'])).
32.42/32.65	tff('298', plain,
32.42/32.65	    (sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = sk_Xc1(sk_R) | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['297'])).
32.42/32.65	tff('299', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['298', '25'])).
32.42/32.65	tff('300', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('demod', [status(thm)], ['299', '268', '102'])).
32.42/32.65	tff('301', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv) | sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['300'])).
32.42/32.65	tff('302', plain, (sk_Xb1(sk_R) = c0 | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['301', '295'])).
32.42/32.65	tff('303', plain, (sk_Xb1(sk_R) = c0 | c0 = sk_Xc(sk_R)),
32.42/32.65	    inference('clc', [status(thm)], ['280', '302'])).
32.42/32.65	tff('304', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), c0)
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('sup-', [status(thm)], ['303', '44'])).
32.42/32.65	tff('305', plain,
32.42/32.65	    (~ sk_R(c0, sk_Xb(sk_R), c0)
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('demod', [status(thm)], ['304', '184'])).
32.42/32.65	tff('306', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xa(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['15', '190'])).
32.42/32.65	tff('307', plain,
32.42/32.65	    (sk_Xa(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['306'])).
32.42/32.65	tff('308', plain,
32.42/32.65	    (c0 != c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)),
32.42/32.65	    inference('demod', [status(thm)], ['307', '184'])).
32.42/32.65	tff('309', plain,
32.42/32.65	    (sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['308'])).
32.42/32.65	tff('310', plain,
32.42/32.65	    (c0 = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | c0 != c0
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('demod', [status(thm)], ['309', '268', '268'])).
32.42/32.65	tff('311', plain,
32.42/32.65	    (sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | c0 = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['310'])).
32.42/32.65	tff('312', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
32.42/32.65	     | c0 = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['311', '25'])).
32.42/32.65	tff('313', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | c0 = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('demod', [status(thm)], ['312', '268', '102'])).
32.42/32.65	tff('314', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | c0 = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['313'])).
32.42/32.65	tff('315', plain,
32.42/32.65	    (c0 = sk_Xc1(sk_R) | sk_Xb(sk_R) = c0 | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('clc', [status(thm)], ['314', '210'])).
32.42/32.65	tff('316', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), c0, sk_Xc1(sk_R))
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['302', '25'])).
32.42/32.65	tff('317', plain,
32.42/32.65	    (~ sk_R(c0, c0, sk_Xc1(sk_R))
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('demod', [status(thm)], ['316', '268'])).
32.42/32.65	tff('318', plain,
32.42/32.65	    (~ sk_R(c0, c0, c0)
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['315', '317'])).
32.42/32.65	tff('319', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb(sk_R) = sk_Xc(sk_R)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['318', '102'])).
32.42/32.65	tff('320', plain,
32.42/32.65	    (sk_R(sk_Xu, sk_Xv, sk_Xv) | sk_Xb(sk_R) = c0 | sk_Xb(sk_R) = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['319'])).
32.42/32.65	tff('321', plain, (sk_Xb(sk_R) = sk_Xc(sk_R) | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('clc', [status(thm)], ['320', '210'])).
32.42/32.65	tff('322', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), sk_Xb(sk_R), sk_Xb(sk_R))
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('sup-', [status(thm)], ['321', '44'])).
32.42/32.65	tff('323', plain, (~ $true | sk_Xb(sk_R) = c0 | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('demod', [status(thm)], ['322', '184', '102'])).
32.42/32.65	tff('324', plain, (sk_R(sk_Xx, sk_Xy, sk_Xy) | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['323'])).
32.42/32.65	tff('325', plain, (~ $true | sk_Xb(sk_R) = c0 | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['324', '9'])).
32.42/32.65	tff('326', plain, (~ sk_R(sk_Xu, sk_Xv, sk_Xv) | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['325'])).
32.42/32.65	tff('327', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['15', '326'])).
32.42/32.65	tff('328', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | c0 = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | c0 != c0
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['327', '268', '268'])).
32.42/32.65	tff('329', plain,
32.42/32.65	    (sk_Xb(sk_R) = c0 | sk_Xb1(sk_R) = sk_Xc1(sk_R) | c0 = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['328'])).
32.42/32.65	tff('330', plain,
32.42/32.65	    (sk_Xb1(sk_R) != c0 | c0 = sk_Xc1(sk_R) | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('eq_fact', [status(thm)], ['329'])).
32.42/32.65	tff('331', plain, (sk_Xb(sk_R) = c0 | c0 = sk_Xc1(sk_R)),
32.42/32.65	    inference('clc', [status(thm)], ['330', '302'])).
32.42/32.65	tff('332', plain,
32.42/32.65	    (~ sk_R(c0, c0, c0)
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['331', '317'])).
32.42/32.65	tff('333', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)
32.42/32.65	     | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['332', '102'])).
32.42/32.65	tff('334', plain, (sk_R(sk_Xu, sk_Xv, sk_Xv) | sk_Xb(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['333'])).
32.42/32.65	tff('335', plain, sk_Xb(sk_R) = c0,
32.42/32.65	    inference('clc', [status(thm)], ['334', '326'])).
32.42/32.65	tff('336', plain, (~ $true | sk_Xb1(sk_R) = c0 | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('demod', [status(thm)], ['305', '335', '102'])).
32.42/32.65	tff('337', plain, (sk_R(sk_Xx, sk_Xy, sk_Xy) | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['336'])).
32.42/32.65	tff('338', plain,
32.42/32.65	    (~ $true | sk_Xb1(sk_R) = c0 | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['337', '9'])).
32.42/32.65	tff('339', plain, (~ sk_R(sk_Xu, sk_Xv, sk_Xv) | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['338'])).
32.42/32.65	tff('340', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('sup-', [status(thm)], ['108', '339'])).
32.42/32.65	tff('341', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | c0 != c0
32.42/32.65	     | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('demod', [status(thm)], ['340', '268'])).
32.42/32.65	tff('342', plain, (sk_Xb1(sk_R) = sk_Xc1(sk_R) | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['341'])).
32.42/32.65	tff('343', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), sk_Xb1(sk_R))
32.42/32.65	     | sk_Xb1(sk_R) = c0
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['342', '25'])).
32.42/32.65	tff('344', plain, (~ $true | sk_Xb1(sk_R) = c0 | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('demod', [status(thm)], ['343', '268', '102'])).
32.42/32.65	tff('345', plain, (sk_R(sk_Xu, sk_Xv, sk_Xv) | sk_Xb1(sk_R) = c0),
32.42/32.65	    inference('simplify', [status(thm)], ['344'])).
32.42/32.65	tff('346', plain, sk_Xb1(sk_R) = c0,
32.42/32.65	    inference('clc', [status(thm)], ['345', '339'])).
32.42/32.65	tff('347', plain, (~ sk_R(c0, c0, sk_Xc1(sk_R)) | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('demod', [status(thm)], ['269', '346'])).
32.42/32.65	tff('348', plain,
32.42/32.65	    (~ sk_R(sk_Xa(sk_R), c0, sk_Xc(sk_R)) | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('sup-', [status(thm)], ['335', '44'])).
32.42/32.65	tff('349', plain, (~ sk_R(c0, c0, sk_Xc(sk_R)) | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('demod', [status(thm)], ['348', '184'])).
32.42/32.65	tff('350', plain,
32.42/32.65	    (c0 = sk_Xc(sk_R) | c0 = sk_Xc(sk_R) | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('demod', [status(thm)], ['249', '335'])).
32.42/32.65	tff('351', plain, (~ sk_R(sk_Xu, sk_Xv, sk_Xv) | c0 = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['350'])).
32.42/32.65	tff('352', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0
32.42/32.65	     | c0 = sk_Xc(sk_R)),
32.42/32.65	    inference('sup-', [status(thm)], ['15', '351'])).
32.42/32.65	tff('353', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | c0 = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | c0 != c0
32.42/32.65	     | c0 = sk_Xc(sk_R)),
32.42/32.65	    inference('demod', [status(thm)], ['352', '268', '268'])).
32.42/32.65	tff('354', plain,
32.42/32.65	    (c0 = sk_Xc(sk_R) | sk_Xb1(sk_R) = sk_Xc1(sk_R) | c0 = sk_Xc1(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['353'])).
32.42/32.65	tff('355', plain, (c0 = sk_Xc(sk_R) | c0 = sk_Xc1(sk_R) | c0 = sk_Xc1(sk_R)),
32.42/32.65	    inference('demod', [status(thm)], ['354', '346'])).
32.42/32.65	tff('356', plain, (c0 = sk_Xc1(sk_R) | c0 = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['355'])).
32.42/32.65	tff('357', plain,
32.42/32.65	    (~ sk_R(sk_Xa1(sk_R), sk_Xb1(sk_R), c0)
32.42/32.65	     | c0 = sk_Xc(sk_R)
32.42/32.65	     | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['356', '25'])).
32.42/32.65	tff('358', plain, (~ $true | c0 = sk_Xc(sk_R) | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('demod', [status(thm)], ['357', '268', '346', '102'])).
32.42/32.65	tff('359', plain, (sk_R(sk_Xu, sk_Xv, sk_Xv) | c0 = sk_Xc(sk_R)),
32.42/32.65	    inference('simplify', [status(thm)], ['358'])).
32.42/32.65	tff('360', plain, c0 = sk_Xc(sk_R),
32.42/32.65	    inference('clc', [status(thm)], ['359', '351'])).
32.42/32.65	tff('361', plain, (~ $true | sk_R(sk_Xx, sk_Xy, sk_Xy)),
32.42/32.65	    inference('demod', [status(thm)], ['349', '360', '102'])).
32.42/32.65	tff('362', plain, sk_R(sk_Xx, sk_Xy, sk_Xy),
32.42/32.65	    inference('simplify', [status(thm)], ['361'])).
32.42/32.65	tff('363', plain, (~ $true | ~ sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('sup-', [status(thm)], ['362', '9'])).
32.42/32.65	tff('364', plain, ~ sk_R(sk_Xu, sk_Xv, sk_Xv),
32.42/32.65	    inference('simplify', [status(thm)], ['363'])).
32.42/32.65	tff('365', plain,
32.42/32.65	    (~ $true
32.42/32.65	     | sk_Xa1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xb1(sk_R) = sk_Xc1(sk_R)
32.42/32.65	     | sk_Xa1(sk_R) != c0),
32.42/32.65	    inference('sup-', [status(thm)], ['15', '364'])).
32.42/32.65	tff('366', plain,
32.42/32.65	    (~ $true | c0 = sk_Xc1(sk_R) | c0 = sk_Xc1(sk_R) | c0 != c0),
32.42/32.65	    inference('demod', [status(thm)], ['365', '268', '346', '268'])).
32.42/32.65	tff('367', plain, c0 = sk_Xc1(sk_R),
32.42/32.65	    inference('simplify', [status(thm)], ['366'])).
32.42/32.65	tff('368', plain, (~ $true | sk_R(sk_Xu, sk_Xv, sk_Xv)),
32.42/32.65	    inference('demod', [status(thm)], ['347', '367', '102'])).
32.42/32.65	tff('369', plain, sk_R(sk_Xu, sk_Xv, sk_Xv),
32.42/32.65	    inference('simplify', [status(thm)], ['368'])).
32.42/32.65	tff('370', plain, ~ $true, inference('sup-', [status(thm)], ['369', '364'])).
32.42/32.65	tff('371', plain, $false, inference('simplify', [status(thm)], ['370'])).
32.42/32.65	
32.42/32.65	% SZS output end Refutation
32.42/32.65	EOF
