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    : supatvars_ext
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-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
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	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n171.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:58:26 CST 2018
0.00/0.23	% done 96 iterations in 0.026s
0.00/0.23	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.23	% SZS output start Refutation
0.00/0.23	tff(cS_JOINFN_MONOTONE_pme, conjecture,
0.00/0.23	  ((![R:((a * a * a) > $o),S:((a * a * a) > $o)]:
0.00/0.23	      ((![Xa:a,Xb:a,Xc:a]: (R(Xa,Xb,Xc) => S(Xa,Xb,Xc))) =>
0.00/0.23	       (![Xa:a,Xb:a,Xc:a]:
0.00/0.23	          (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
0.00/0.23	               (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
0.00/0.23	                (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
0.00/0.23	            ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
0.00/0.23	           ((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
0.00/0.23	               (S(Xx2,Xy2,Xz2) & S(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
0.00/0.23	                (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
0.00/0.23	            ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))))))) & 
0.00/0.23	   (![R:((a * a * a) > $o)]: ($true => $true)))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    ((![R:((a * a * a) > $o),S:((a * a * a) > $o)]:
0.00/0.23	        ((![Xa:a,Xb:a,Xc:a]: (R(Xa,Xb,Xc) => S(Xa,Xb,Xc))) =>
0.00/0.23	         (![Xa:a,Xb:a,Xc:a]:
0.00/0.23	            (((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
0.00/0.23	                 (R(Xx2,Xy2,Xz2) & R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
0.00/0.23	                  (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
0.00/0.23	              ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))) =>
0.00/0.23	             ((?[Xx1:a,Xx2:a,Xy1:a,Xy2:a,Xz1:a,Xz2:a]:
0.00/0.23	                 (S(Xx2,Xy2,Xz2) & S(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)) & 
0.00/0.23	                  (Xb = cP(Xy1,Xy2)) & (Xa = cP(Xx1,Xx2)))) | 
0.00/0.23	              ((Xa = Xc) & (Xb = c0)) | ((Xb = Xc) & (Xa = c0))))))) & 
0.00/0.23	     (![R:((a * a * a) > $o)]: ($true => $true))))).
0.00/0.23	tff('0', plain,
0.00/0.23	    (sk_R(sk_Xx2, sk_Xy2, sk_Xz2) | sk_Xa = sk_Xc | sk_Xb = sk_Xc),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('1', plain, (sk_R(sk_Xx1, sk_Xy1, sk_Xz1) | sk_Xa = sk_Xc | sk_Xa = c0),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('2', plain, (sk_R(sk_Xx2, sk_Xy2, sk_Xz2) | sk_Xa = sk_Xc | sk_Xa = c0),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('3', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a]: (sk_S(X0, X1, X2) | ~ sk_R(X0, X1, X2)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('4', plain, (sk_Xc = cP(sk_Xz1, sk_Xz2) | sk_Xa = sk_Xc | sk_Xa = c0),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('5', plain, (sk_Xa = cP(sk_Xx1, sk_Xx2) | sk_Xa = sk_Xc | sk_Xa = c0),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('6', plain, (sk_Xb = cP(sk_Xy1, sk_Xy2) | sk_Xa = sk_Xc | sk_Xa = c0),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('7', plain,
0.00/0.23	    ![X3 : a, X4 : a, X5 : a, X6 : a, X7 : a, X8 : a]:
0.00/0.23	      (~ sk_S(X3, X4, X5)
0.00/0.23	       | sk_Xb != cP(X4, X6)
0.00/0.23	       | sk_Xa != cP(X3, X7)
0.00/0.23	       | sk_Xc != cP(X5, X8)
0.00/0.23	       | ~ sk_S(X7, X6, X8)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('8', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a, X3 : a, X4 : a, X5 : a]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ sk_R(X2, X1, X0)
0.00/0.23	       | ~ sk_S(X5, X4, X3)
0.00/0.23	       | sk_Xc != cP(X0, X3)
0.00/0.23	       | sk_Xa != cP(X2, X5)
0.00/0.23	       | sk_Xb != cP(X1, X4)),
0.00/0.23	    inference('sup-', [status(thm)], ['3', '7'])).
0.00/0.23	tff('9', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a, X3 : a, X4 : a, X5 : a]:
0.00/0.23	      (sk_Xb != cP(X1, X4)
0.00/0.23	       | sk_Xa != cP(X2, X5)
0.00/0.23	       | sk_Xc != cP(X0, X3)
0.00/0.23	       | ~ sk_S(X5, X4, X3)
0.00/0.23	       | ~ sk_R(X2, X1, X0)),
0.00/0.23	    inference('simplify', [status(thm)], ['8'])).
0.00/0.23	tff('10', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a, X3 : a]:
0.00/0.23	      (sk_Xb != sk_Xb
0.00/0.23	       | sk_Xa = c0
0.00/0.23	       | sk_Xa = sk_Xc
0.00/0.23	       | ~ sk_R(X1, sk_Xy1, X0)
0.00/0.23	       | ~ sk_S(X3, sk_Xy2, X2)
0.00/0.23	       | sk_Xc != cP(X0, X2)
0.00/0.23	       | sk_Xa != cP(X1, X3)),
0.00/0.23	    inference('sup-', [status(thm)], ['6', '9'])).
0.00/0.23	tff('11', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a, X3 : a]:
0.00/0.23	      (sk_Xa != cP(X1, X3)
0.00/0.23	       | sk_Xc != cP(X0, X2)
0.00/0.23	       | ~ sk_S(X3, sk_Xy2, X2)
0.00/0.23	       | ~ sk_R(X1, sk_Xy1, X0)
0.00/0.23	       | sk_Xa = sk_Xc
0.00/0.23	       | sk_Xa = c0),
0.00/0.23	    inference('simplify', [status(thm)], ['10'])).
0.00/0.23	tff('12', plain, (sk_Xc = cP(sk_Xz1, sk_Xz2) | sk_Xb = c0 | sk_Xb = sk_Xc),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('13', plain, (sk_Xa = cP(sk_Xx1, sk_Xx2) | sk_Xb = c0 | sk_Xb = sk_Xc),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('14', plain, (sk_Xb = cP(sk_Xy1, sk_Xy2) | sk_Xb = c0 | sk_Xb = sk_Xc),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('15', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a, X3 : a]:
0.00/0.23	      (sk_Xb != sk_Xb
0.00/0.23	       | sk_Xb = sk_Xc
0.00/0.23	       | sk_Xb = c0
0.00/0.23	       | ~ sk_R(X1, sk_Xy1, X0)
0.00/0.23	       | ~ sk_S(X3, sk_Xy2, X2)
0.00/0.23	       | sk_Xc != cP(X0, X2)
0.00/0.23	       | sk_Xa != cP(X1, X3)),
0.00/0.23	    inference('sup-', [status(thm)], ['14', '9'])).
0.00/0.23	tff('16', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a, X3 : a]:
0.00/0.23	      (sk_Xa != cP(X1, X3)
0.00/0.23	       | sk_Xc != cP(X0, X2)
0.00/0.23	       | ~ sk_S(X3, sk_Xy2, X2)
0.00/0.23	       | ~ sk_R(X1, sk_Xy1, X0)
0.00/0.23	       | sk_Xb = c0
0.00/0.23	       | sk_Xb = sk_Xc),
0.00/0.23	    inference('simplify', [status(thm)], ['15'])).
0.00/0.23	tff('17', plain,
0.00/0.23	    ![X0 : a, X1 : a]:
0.00/0.23	      (sk_Xa != sk_Xa
0.00/0.23	       | sk_Xb = sk_Xc
0.00/0.23	       | sk_Xb = c0
0.00/0.23	       | sk_Xb = sk_Xc
0.00/0.23	       | sk_Xb = c0
0.00/0.23	       | ~ sk_R(sk_Xx1, sk_Xy1, X0)
0.00/0.23	       | ~ sk_S(sk_Xx2, sk_Xy2, X1)
0.00/0.23	       | sk_Xc != cP(X0, X1)),
0.00/0.23	    inference('sup-', [status(thm)], ['13', '16'])).
0.00/0.23	tff('18', plain,
0.00/0.23	    ![X0 : a, X1 : a]:
0.00/0.23	      (sk_Xc != cP(X0, X1)
0.00/0.23	       | ~ sk_S(sk_Xx2, sk_Xy2, X1)
0.00/0.23	       | ~ sk_R(sk_Xx1, sk_Xy1, X0)
0.00/0.23	       | sk_Xb = c0
0.00/0.23	       | sk_Xb = sk_Xc),
0.00/0.23	    inference('simplify', [status(thm)], ['17'])).
0.00/0.23	tff('19', plain,
0.00/0.23	    (sk_Xc != sk_Xc
0.00/0.23	     | sk_Xb = sk_Xc
0.00/0.23	     | sk_Xb = c0
0.00/0.23	     | sk_Xb = sk_Xc
0.00/0.23	     | sk_Xb = c0
0.00/0.23	     | ~ sk_R(sk_Xx1, sk_Xy1, sk_Xz1)
0.00/0.23	     | ~ sk_S(sk_Xx2, sk_Xy2, sk_Xz2)),
0.00/0.23	    inference('sup-', [status(thm)], ['12', '18'])).
0.00/0.23	tff('20', plain,
0.00/0.23	    (~ sk_S(sk_Xx2, sk_Xy2, sk_Xz2)
0.00/0.23	     | ~ sk_R(sk_Xx1, sk_Xy1, sk_Xz1)
0.00/0.23	     | sk_Xb = c0
0.00/0.23	     | sk_Xb = sk_Xc),
0.00/0.23	    inference('simplify', [status(thm)], ['19'])).
0.00/0.23	tff('21', plain, (sk_R(sk_Xx1, sk_Xy1, sk_Xz1) | sk_Xb = c0 | sk_Xb = sk_Xc),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('22', plain,
0.00/0.23	    (sk_Xb = sk_Xc | sk_Xb = c0 | ~ sk_S(sk_Xx2, sk_Xy2, sk_Xz2)),
0.00/0.23	    inference('clc', [status(thm)], ['20', '21'])).
0.00/0.23	tff('23', plain,
0.00/0.23	    (~ $true | ~ sk_R(sk_Xx2, sk_Xy2, sk_Xz2) | sk_Xb = c0 | sk_Xb = sk_Xc),
0.00/0.23	    inference('sup-', [status(thm)], ['3', '22'])).
0.00/0.23	tff('24', plain,
0.00/0.23	    (sk_Xb = sk_Xc | sk_Xb = c0 | ~ sk_R(sk_Xx2, sk_Xy2, sk_Xz2)),
0.00/0.23	    inference('simplify', [status(thm)], ['23'])).
0.00/0.23	tff('25', plain, (sk_R(sk_Xx2, sk_Xy2, sk_Xz2) | sk_Xb = c0 | sk_Xb = sk_Xc),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('26', plain, (sk_Xb = c0 | sk_Xb = sk_Xc),
0.00/0.23	    inference('clc', [status(thm)], ['24', '25'])).
0.00/0.23	tff('27', plain, (sk_Xa != sk_Xc | sk_Xb != c0),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('28', plain, (sk_Xb != sk_Xb | sk_Xb = sk_Xc | sk_Xa != sk_Xc),
0.00/0.23	    inference('sup-', [status(thm)], ['26', '27'])).
0.00/0.23	tff('29', plain, (sk_Xa != sk_Xc | sk_Xb = sk_Xc),
0.00/0.23	    inference('simplify', [status(thm)], ['28'])).
0.00/0.23	tff('30', plain, (sk_Xc = cP(sk_Xz1, sk_Xz2) | sk_Xb = c0 | sk_Xa = c0),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('31', plain, (sk_Xa = cP(sk_Xx1, sk_Xx2) | sk_Xb = c0 | sk_Xa = c0),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('32', plain, (sk_Xb = cP(sk_Xy1, sk_Xy2) | sk_Xb = c0 | sk_Xa = c0),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('33', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a, X3 : a]:
0.00/0.23	      (sk_Xb != sk_Xb
0.00/0.23	       | sk_Xa = c0
0.00/0.23	       | sk_Xb = c0
0.00/0.23	       | ~ sk_R(X1, sk_Xy1, X0)
0.00/0.23	       | ~ sk_S(X3, sk_Xy2, X2)
0.00/0.23	       | sk_Xc != cP(X0, X2)
0.00/0.23	       | sk_Xa != cP(X1, X3)),
0.00/0.23	    inference('sup-', [status(thm)], ['32', '9'])).
0.00/0.23	tff('34', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a, X3 : a]:
0.00/0.23	      (sk_Xa != cP(X1, X3)
0.00/0.23	       | sk_Xc != cP(X0, X2)
0.00/0.23	       | ~ sk_S(X3, sk_Xy2, X2)
0.00/0.23	       | ~ sk_R(X1, sk_Xy1, X0)
0.00/0.23	       | sk_Xb = c0
0.00/0.23	       | sk_Xa = c0),
0.00/0.23	    inference('simplify', [status(thm)], ['33'])).
0.00/0.23	tff('35', plain,
0.00/0.23	    ![X0 : a, X1 : a]:
0.00/0.23	      (sk_Xa != sk_Xa
0.00/0.23	       | sk_Xa = c0
0.00/0.23	       | sk_Xb = c0
0.00/0.23	       | sk_Xa = c0
0.00/0.23	       | sk_Xb = c0
0.00/0.23	       | ~ sk_R(sk_Xx1, sk_Xy1, X0)
0.00/0.23	       | ~ sk_S(sk_Xx2, sk_Xy2, X1)
0.00/0.23	       | sk_Xc != cP(X0, X1)),
0.00/0.23	    inference('sup-', [status(thm)], ['31', '34'])).
0.00/0.23	tff('36', plain,
0.00/0.23	    ![X0 : a, X1 : a]:
0.00/0.23	      (sk_Xc != cP(X0, X1)
0.00/0.23	       | ~ sk_S(sk_Xx2, sk_Xy2, X1)
0.00/0.23	       | ~ sk_R(sk_Xx1, sk_Xy1, X0)
0.00/0.23	       | sk_Xb = c0
0.00/0.23	       | sk_Xa = c0),
0.00/0.23	    inference('simplify', [status(thm)], ['35'])).
0.00/0.23	tff('37', plain,
0.00/0.23	    (sk_Xc != sk_Xc
0.00/0.23	     | sk_Xa = c0
0.00/0.23	     | sk_Xb = c0
0.00/0.23	     | sk_Xa = c0
0.00/0.23	     | sk_Xb = c0
0.00/0.23	     | ~ sk_R(sk_Xx1, sk_Xy1, sk_Xz1)
0.00/0.23	     | ~ sk_S(sk_Xx2, sk_Xy2, sk_Xz2)),
0.00/0.23	    inference('sup-', [status(thm)], ['30', '36'])).
0.00/0.23	tff('38', plain,
0.00/0.23	    (~ sk_S(sk_Xx2, sk_Xy2, sk_Xz2)
0.00/0.23	     | ~ sk_R(sk_Xx1, sk_Xy1, sk_Xz1)
0.00/0.23	     | sk_Xb = c0
0.00/0.23	     | sk_Xa = c0),
0.00/0.23	    inference('simplify', [status(thm)], ['37'])).
0.00/0.23	tff('39', plain, (sk_R(sk_Xx1, sk_Xy1, sk_Xz1) | sk_Xb = c0 | sk_Xa = c0),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('40', plain, (sk_Xa = c0 | sk_Xb = c0 | ~ sk_S(sk_Xx2, sk_Xy2, sk_Xz2)),
0.00/0.23	    inference('clc', [status(thm)], ['38', '39'])).
0.00/0.23	tff('41', plain,
0.00/0.23	    (~ $true | ~ sk_R(sk_Xx2, sk_Xy2, sk_Xz2) | sk_Xb = c0 | sk_Xa = c0),
0.00/0.23	    inference('sup-', [status(thm)], ['3', '40'])).
0.00/0.23	tff('42', plain, (sk_Xa = c0 | sk_Xb = c0 | ~ sk_R(sk_Xx2, sk_Xy2, sk_Xz2)),
0.00/0.23	    inference('simplify', [status(thm)], ['41'])).
0.00/0.23	tff('43', plain, (sk_R(sk_Xx2, sk_Xy2, sk_Xz2) | sk_Xb = c0 | sk_Xa = c0),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('44', plain, (sk_Xb = c0 | sk_Xa = c0),
0.00/0.23	    inference('clc', [status(thm)], ['42', '43'])).
0.00/0.23	tff('45', plain, (sk_Xb != sk_Xb | sk_Xa = c0 | sk_Xa != sk_Xc),
0.00/0.23	    inference('sup-', [status(thm)], ['44', '27'])).
0.00/0.23	tff('46', plain, (sk_Xa != sk_Xc | sk_Xa = c0),
0.00/0.23	    inference('simplify', [status(thm)], ['45'])).
0.00/0.23	tff('47', plain, (sk_Xb != sk_Xc | sk_Xa != c0),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('48', plain, (sk_Xa != sk_Xa | sk_Xa != sk_Xc | sk_Xb != sk_Xc),
0.00/0.23	    inference('sup-', [status(thm)], ['46', '47'])).
0.00/0.23	tff('49', plain, (sk_Xb != sk_Xc | sk_Xa != sk_Xc),
0.00/0.23	    inference('simplify', [status(thm)], ['48'])).
0.00/0.23	tff('50', plain, sk_Xa != sk_Xc,
0.00/0.23	    inference('clc', [status(thm)], ['29', '49'])).
0.00/0.23	tff('51', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a, X3 : a]:
0.00/0.23	      (sk_Xa != cP(X1, X3)
0.00/0.23	       | sk_Xc != cP(X0, X2)
0.00/0.23	       | ~ sk_S(X3, sk_Xy2, X2)
0.00/0.23	       | ~ sk_R(X1, sk_Xy1, X0)
0.00/0.23	       | sk_Xa = c0),
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['11', '50'])).
0.00/0.23	tff('52', plain,
0.00/0.23	    ![X0 : a, X1 : a]:
0.00/0.23	      (sk_Xa != sk_Xa
0.00/0.23	       | sk_Xa = c0
0.00/0.23	       | sk_Xa = sk_Xc
0.00/0.23	       | sk_Xa = c0
0.00/0.23	       | ~ sk_R(sk_Xx1, sk_Xy1, X0)
0.00/0.23	       | ~ sk_S(sk_Xx2, sk_Xy2, X1)
0.00/0.23	       | sk_Xc != cP(X0, X1)),
0.00/0.23	    inference('sup-', [status(thm)], ['5', '51'])).
0.00/0.23	tff('53', plain,
0.00/0.23	    ![X0 : a, X1 : a]:
0.00/0.23	      (sk_Xc != cP(X0, X1)
0.00/0.23	       | ~ sk_S(sk_Xx2, sk_Xy2, X1)
0.00/0.23	       | ~ sk_R(sk_Xx1, sk_Xy1, X0)
0.00/0.23	       | sk_Xa = sk_Xc
0.00/0.23	       | sk_Xa = c0),
0.00/0.23	    inference('simplify', [status(thm)], ['52'])).
0.00/0.23	tff('54', plain,
0.00/0.23	    ![X0 : a, X1 : a]:
0.00/0.23	      (sk_Xc != cP(X0, X1)
0.00/0.23	       | ~ sk_S(sk_Xx2, sk_Xy2, X1)
0.00/0.23	       | ~ sk_R(sk_Xx1, sk_Xy1, X0)
0.00/0.23	       | sk_Xa = c0),
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['53', '50'])).
0.00/0.23	tff('55', plain,
0.00/0.23	    (sk_Xc != sk_Xc
0.00/0.23	     | sk_Xa = c0
0.00/0.23	     | sk_Xa = sk_Xc
0.00/0.23	     | sk_Xa = c0
0.00/0.23	     | ~ sk_R(sk_Xx1, sk_Xy1, sk_Xz1)
0.00/0.23	     | ~ sk_S(sk_Xx2, sk_Xy2, sk_Xz2)),
0.00/0.23	    inference('sup-', [status(thm)], ['4', '54'])).
0.00/0.23	tff('56', plain,
0.00/0.23	    (~ sk_S(sk_Xx2, sk_Xy2, sk_Xz2)
0.00/0.23	     | ~ sk_R(sk_Xx1, sk_Xy1, sk_Xz1)
0.00/0.23	     | sk_Xa = sk_Xc
0.00/0.23	     | sk_Xa = c0),
0.00/0.23	    inference('simplify', [status(thm)], ['55'])).
0.00/0.23	tff('57', plain,
0.00/0.23	    (~ sk_S(sk_Xx2, sk_Xy2, sk_Xz2)
0.00/0.23	     | ~ sk_R(sk_Xx1, sk_Xy1, sk_Xz1)
0.00/0.23	     | sk_Xa = c0),
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['56', '50'])).
0.00/0.23	tff('58', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ sk_R(sk_Xx2, sk_Xy2, sk_Xz2)
0.00/0.23	     | sk_Xa = c0
0.00/0.23	     | ~ sk_R(sk_Xx1, sk_Xy1, sk_Xz1)),
0.00/0.23	    inference('sup-', [status(thm)], ['3', '57'])).
0.00/0.23	tff('59', plain,
0.00/0.23	    (~ sk_R(sk_Xx1, sk_Xy1, sk_Xz1)
0.00/0.23	     | sk_Xa = c0
0.00/0.23	     | ~ sk_R(sk_Xx2, sk_Xy2, sk_Xz2)),
0.00/0.23	    inference('simplify', [status(thm)], ['58'])).
0.00/0.23	tff('60', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | sk_Xa = c0
0.00/0.23	     | sk_Xa = sk_Xc
0.00/0.23	     | sk_Xa = c0
0.00/0.23	     | ~ sk_R(sk_Xx1, sk_Xy1, sk_Xz1)),
0.00/0.23	    inference('sup-', [status(thm)], ['2', '59'])).
0.00/0.23	tff('61', plain,
0.00/0.23	    (~ sk_R(sk_Xx1, sk_Xy1, sk_Xz1) | sk_Xa = sk_Xc | sk_Xa = c0),
0.00/0.23	    inference('simplify', [status(thm)], ['60'])).
0.00/0.23	tff('62', plain, (~ sk_R(sk_Xx1, sk_Xy1, sk_Xz1) | sk_Xa = c0),
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['61', '50'])).
0.00/0.23	tff('63', plain, (~ $true | sk_Xa = c0 | sk_Xa = sk_Xc | sk_Xa = c0),
0.00/0.23	    inference('sup-', [status(thm)], ['1', '62'])).
0.00/0.23	tff('64', plain, (sk_Xa = sk_Xc | sk_Xa = c0),
0.00/0.23	    inference('simplify', [status(thm)], ['63'])).
0.00/0.23	tff('65', plain, sk_Xa = c0,
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['64', '50'])).
0.00/0.23	tff('66', plain, (sk_Xb = sk_Xa | sk_Xb = sk_Xc),
0.00/0.23	    inference('sup+', [status(thm)], ['65', '26'])).
0.00/0.23	tff('67', plain, (sk_Xb != sk_Xc | sk_Xa != sk_Xa),
0.00/0.23	    inference('demod', [status(thm)], ['47', '65'])).
0.00/0.23	tff('68', plain, sk_Xb != sk_Xc, inference('simplify', [status(thm)], ['67'])).
0.00/0.23	tff('69', plain, sk_Xb = sk_Xa,
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['66', '68'])).
0.00/0.23	tff('70', plain,
0.00/0.23	    (sk_R(sk_Xx2, sk_Xy2, sk_Xz2) | sk_Xa = sk_Xc | sk_Xa = sk_Xc),
0.00/0.23	    inference('demod', [status(thm)], ['0', '69'])).
0.00/0.23	tff('71', plain, (sk_Xa = sk_Xc | sk_R(sk_Xx2, sk_Xy2, sk_Xz2)),
0.00/0.23	    inference('simplify', [status(thm)], ['70'])).
0.00/0.23	tff('72', plain, sk_R(sk_Xx2, sk_Xy2, sk_Xz2),
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['71', '50'])).
0.00/0.23	tff('73', plain,
0.00/0.23	    (sk_R(sk_Xx1, sk_Xy1, sk_Xz1) | sk_Xa = sk_Xc | sk_Xb = sk_Xc),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('74', plain,
0.00/0.23	    (sk_R(sk_Xx1, sk_Xy1, sk_Xz1) | sk_Xa = sk_Xc | sk_Xa = sk_Xc),
0.00/0.23	    inference('demod', [status(thm)], ['73', '69'])).
0.00/0.23	tff('75', plain, (sk_Xa = sk_Xc | sk_R(sk_Xx1, sk_Xy1, sk_Xz1)),
0.00/0.23	    inference('simplify', [status(thm)], ['74'])).
0.00/0.23	tff('76', plain, sk_R(sk_Xx1, sk_Xy1, sk_Xz1),
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['75', '50'])).
0.00/0.23	tff('77', plain,
0.00/0.23	    (sk_Xb = cP(sk_Xy1, sk_Xy2) | sk_Xa = sk_Xc | sk_Xb = sk_Xc),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('78', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a, X3 : a]:
0.00/0.23	      (sk_Xb != sk_Xb
0.00/0.23	       | sk_Xb = sk_Xc
0.00/0.23	       | sk_Xa = sk_Xc
0.00/0.23	       | ~ sk_R(X1, sk_Xy1, X0)
0.00/0.23	       | ~ sk_S(X3, sk_Xy2, X2)
0.00/0.23	       | sk_Xc != cP(X0, X2)
0.00/0.23	       | sk_Xa != cP(X1, X3)),
0.00/0.23	    inference('sup-', [status(thm)], ['77', '9'])).
0.00/0.23	tff('79', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a, X3 : a]:
0.00/0.23	      (sk_Xa != cP(X1, X3)
0.00/0.23	       | sk_Xc != cP(X0, X2)
0.00/0.23	       | ~ sk_S(X3, sk_Xy2, X2)
0.00/0.23	       | ~ sk_R(X1, sk_Xy1, X0)
0.00/0.23	       | sk_Xa = sk_Xc
0.00/0.23	       | sk_Xb = sk_Xc),
0.00/0.23	    inference('simplify', [status(thm)], ['78'])).
0.00/0.23	tff('80', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a, X3 : a]:
0.00/0.23	      (sk_Xa != cP(X1, X3)
0.00/0.23	       | sk_Xc != cP(X0, X2)
0.00/0.23	       | ~ sk_S(X3, sk_Xy2, X2)
0.00/0.23	       | ~ sk_R(X1, sk_Xy1, X0)
0.00/0.23	       | sk_Xa = sk_Xc
0.00/0.23	       | sk_Xa = sk_Xc),
0.00/0.23	    inference('demod', [status(thm)], ['79', '69'])).
0.00/0.23	tff('81', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a, X3 : a]:
0.00/0.23	      (sk_Xa = sk_Xc
0.00/0.23	       | ~ sk_R(X1, sk_Xy1, X0)
0.00/0.23	       | ~ sk_S(X3, sk_Xy2, X2)
0.00/0.23	       | sk_Xc != cP(X0, X2)
0.00/0.23	       | sk_Xa != cP(X1, X3)),
0.00/0.23	    inference('simplify', [status(thm)], ['80'])).
0.00/0.23	tff('82', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a, X3 : a]:
0.00/0.23	      (~ sk_R(X1, sk_Xy1, X0)
0.00/0.23	       | ~ sk_S(X3, sk_Xy2, X2)
0.00/0.23	       | sk_Xc != cP(X0, X2)
0.00/0.23	       | sk_Xa != cP(X1, X3)),
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['81', '50'])).
0.00/0.23	tff('83', plain,
0.00/0.23	    ![X0 : a, X1 : a]:
0.00/0.23	      (~ $true
0.00/0.23	       | sk_Xa != cP(sk_Xx1, X0)
0.00/0.23	       | sk_Xc != cP(sk_Xz1, X1)
0.00/0.23	       | ~ sk_S(X0, sk_Xy2, X1)),
0.00/0.23	    inference('sup-', [status(thm)], ['76', '82'])).
0.00/0.23	tff('84', plain,
0.00/0.23	    ![X0 : a, X1 : a]:
0.00/0.23	      (~ sk_S(X0, sk_Xy2, X1)
0.00/0.23	       | sk_Xc != cP(sk_Xz1, X1)
0.00/0.23	       | sk_Xa != cP(sk_Xx1, X0)),
0.00/0.23	    inference('simplify', [status(thm)], ['83'])).
0.00/0.23	tff('85', plain,
0.00/0.23	    ![X0 : a, X1 : a]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ sk_R(X1, sk_Xy2, X0)
0.00/0.23	       | sk_Xa != cP(sk_Xx1, X1)
0.00/0.23	       | sk_Xc != cP(sk_Xz1, X0)),
0.00/0.23	    inference('sup-', [status(thm)], ['3', '84'])).
0.00/0.23	tff('86', plain,
0.00/0.23	    ![X0 : a, X1 : a]:
0.00/0.23	      (sk_Xc != cP(sk_Xz1, X0)
0.00/0.23	       | sk_Xa != cP(sk_Xx1, X1)
0.00/0.23	       | ~ sk_R(X1, sk_Xy2, X0)),
0.00/0.23	    inference('simplify', [status(thm)], ['85'])).
0.00/0.23	tff('87', plain,
0.00/0.23	    (~ $true | sk_Xa != cP(sk_Xx1, sk_Xx2) | sk_Xc != cP(sk_Xz1, sk_Xz2)),
0.00/0.23	    inference('sup-', [status(thm)], ['72', '86'])).
0.00/0.23	tff('88', plain,
0.00/0.23	    (sk_Xa = cP(sk_Xx1, sk_Xx2) | sk_Xa = sk_Xc | sk_Xb = sk_Xc),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('89', plain,
0.00/0.23	    (sk_Xa = cP(sk_Xx1, sk_Xx2) | sk_Xa = sk_Xc | sk_Xa = sk_Xc),
0.00/0.23	    inference('demod', [status(thm)], ['88', '69'])).
0.00/0.23	tff('90', plain, (sk_Xa = sk_Xc | sk_Xa = cP(sk_Xx1, sk_Xx2)),
0.00/0.23	    inference('simplify', [status(thm)], ['89'])).
0.00/0.23	tff('91', plain, sk_Xa = cP(sk_Xx1, sk_Xx2),
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['90', '50'])).
0.00/0.23	tff('92', plain,
0.00/0.23	    (sk_Xc = cP(sk_Xz1, sk_Xz2) | sk_Xa = sk_Xc | sk_Xb = sk_Xc),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('93', plain,
0.00/0.23	    (sk_Xc = cP(sk_Xz1, sk_Xz2) | sk_Xa = sk_Xc | sk_Xa = sk_Xc),
0.00/0.23	    inference('demod', [status(thm)], ['92', '69'])).
0.00/0.23	tff('94', plain, (sk_Xa = sk_Xc | sk_Xc = cP(sk_Xz1, sk_Xz2)),
0.00/0.23	    inference('simplify', [status(thm)], ['93'])).
0.00/0.23	tff('95', plain, sk_Xc = cP(sk_Xz1, sk_Xz2),
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['94', '50'])).
0.00/0.23	tff('96', plain, (~ $true | sk_Xa != sk_Xa | sk_Xc != sk_Xc),
0.00/0.23	    inference('demod', [status(thm)], ['87', '91', '95'])).
0.00/0.23	tff('97', plain, $false, inference('simplify', [status(thm)], ['96'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.00/0.23	EOF
