0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.19	% Computer   : n080.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:00:53 CST 2018
24.62/24.85	% done 40542 iterations in 24.648s
24.62/24.85	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
24.62/24.85	% SZS output start Refutation
24.62/24.85	tff(cTHM559A_pme, conjecture,
24.62/24.85	  ((?[Xf:((a * a) > $o)]:
24.62/24.85	      (![Xx:a]:
24.62/24.85	         (Xf(Xx,Xx) & 
24.62/24.85	          (![Xx_0:a]: (Xf(Xx,Xx_0) => (![Xy:a]: (Xf(Xx,Xy) <=> cQ(Xx_0,Xy))))) & 
24.62/24.85	          (?[Xz:a]: Xf(Xx,Xz))))) =>
24.62/24.85	   ((![Xx:a,Xy:a,Xz:a]: ((cQ(Xy,Xz) & cQ(Xx,Xy)) => cQ(Xx,Xz))) & 
24.62/24.85	    (![Xx:a,Xy:a]: (cQ(Xx,Xy) => cQ(Xy,Xx))) & (![Xx:a]: cQ(Xx,Xx))))).
24.62/24.85	tff(zf_stmt_0, negated_conjecture,
24.62/24.85	  (~
24.62/24.85	    ((?[Xf:((a * a) > $o)]:
24.62/24.85	        (![Xx:a]:
24.62/24.85	           (Xf(Xx,Xx) & 
24.62/24.85	            (![Xx_0:a]:
24.62/24.85	               (Xf(Xx,Xx_0) => (![Xy:a]: (Xf(Xx,Xy) <=> cQ(Xx_0,Xy))))) & 
24.62/24.85	            (?[Xz:a]: Xf(Xx,Xz))))) =>
24.62/24.85	     ((![Xx:a,Xy:a,Xz:a]: ((cQ(Xy,Xz) & cQ(Xx,Xy)) => cQ(Xx,Xz))) & 
24.62/24.85	      (![Xx:a,Xy:a]: (cQ(Xx,Xy) => cQ(Xy,Xx))) & (![Xx:a]: cQ(Xx,Xx)))))).
24.62/24.85	tff('0', plain, ![X5 : a]: sk_Xf(X5, sk_Xz1(X5)),
24.62/24.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
24.62/24.85	tff('1', plain, ![X0 : a]: sk_Xf(X0, X0),
24.62/24.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
24.62/24.85	tff('2', plain,
24.62/24.85	    ![X1 : a, X3 : a, X4 : a]:
24.62/24.85	      (~ sk_Xf(X3, X4) | cQ(X1, X4) | ~ sk_Xf(X3, X1)),
24.62/24.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
24.62/24.85	tff('3', plain, ![X0 : a, X1 : a]: (~ $true | ~ sk_Xf(X0, X1) | cQ(X1, X0)),
24.62/24.85	    inference('sup-', [status(thm)], ['1', '2'])).
24.62/24.85	tff('4', plain, ![X0 : a, X1 : a]: (cQ(X1, X0) | ~ sk_Xf(X0, X1)),
24.62/24.85	    inference('simplify', [status(thm)], ['3'])).
24.62/24.85	tff('5', plain, ![X0 : a]: (~ $true | cQ(sk_Xz1(X0), X0)),
24.62/24.85	    inference('sup-', [status(thm)], ['0', '4'])).
24.62/24.85	tff('6', plain, ![X0 : a]: cQ(sk_Xz1(X0), X0),
24.62/24.85	    inference('simplify', [status(thm)], ['5'])).
24.62/24.85	tff('7', plain,
24.62/24.85	    ![X1 : a, X2 : a, X3 : a]:
24.62/24.85	      (~ cQ(X1, X2) | sk_Xf(X3, X2) | ~ sk_Xf(X3, X1)),
24.62/24.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
24.62/24.85	tff('8', plain,
24.62/24.85	    ![X0 : a, X1 : a]: (~ $true | ~ sk_Xf(X1, sk_Xz1(X0)) | sk_Xf(X1, X0)),
24.62/24.85	    inference('sup-', [status(thm)], ['6', '7'])).
24.62/24.85	tff('9', plain, ![X0 : a, X1 : a]: (sk_Xf(X1, X0) | ~ sk_Xf(X1, sk_Xz1(X0))),
24.62/24.85	    inference('simplify', [status(thm)], ['8'])).
24.62/24.85	tff('10', plain, ![X0 : a]: (~ $true | sk_Xf(sk_Xz1(X0), X0)),
24.62/24.85	    inference('sup-', [status(thm)], ['1', '9'])).
24.62/24.85	tff('11', plain, ![X0 : a]: sk_Xf(sk_Xz1(X0), X0),
24.62/24.85	    inference('simplify', [status(thm)], ['10'])).
24.62/24.85	tff('12', plain, ![X0 : a]: (~ $true | sk_Xf(sk_Xz1(sk_Xz1(X0)), X0)),
24.62/24.85	    inference('sup-', [status(thm)], ['11', '9'])).
24.62/24.85	tff('13', plain, ![X0 : a]: sk_Xf(sk_Xz1(sk_Xz1(X0)), X0),
24.62/24.85	    inference('simplify', [status(thm)], ['12'])).
24.62/24.85	tff('14', plain,
24.62/24.85	    ![X0 : a]: (~ $true | sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(X0))), X0)),
24.62/24.85	    inference('sup-', [status(thm)], ['13', '9'])).
24.62/24.85	tff('15', plain, ![X0 : a]: sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(X0))), X0),
24.62/24.85	    inference('simplify', [status(thm)], ['14'])).
24.62/24.85	tff('16', plain,
24.62/24.85	    ![X0 : a]: (~ $true | sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))), X0)),
24.62/24.85	    inference('sup-', [status(thm)], ['15', '9'])).
24.62/24.85	tff('17', plain, ![X0 : a]: sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))), X0),
24.62/24.85	    inference('simplify', [status(thm)], ['16'])).
24.62/24.85	tff('18', plain,
24.62/24.85	    ![X0 : a]:
24.62/24.85	      (~ $true | sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))), X0)),
24.62/24.85	    inference('sup-', [status(thm)], ['17', '9'])).
24.62/24.85	tff('19', plain,
24.62/24.85	    ![X0 : a]: sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))), X0),
24.62/24.85	    inference('simplify', [status(thm)], ['18'])).
24.62/24.85	tff('20', plain,
24.62/24.85	    (cQ(sk_Xx, sk_Xy) | ~ cQ(sk_Xy1, sk_Xx1) | ~ cQ(sk_Xx2, sk_Xx2)),
24.62/24.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
24.62/24.85	tff('21', plain, ![X0 : a]: (~ $true | cQ(X0, X0)),
24.62/24.85	    inference('sup-', [status(thm)], ['1', '4'])).
24.62/24.85	tff('22', plain, ![X0 : a]: cQ(X0, X0),
24.62/24.85	    inference('simplify', [status(thm)], ['21'])).
24.62/24.85	tff('23', plain, (cQ(sk_Xx, sk_Xy) | ~ cQ(sk_Xy1, sk_Xx1) | ~ $true),
24.62/24.85	    inference('demod', [status(thm)], ['20', '22'])).
24.62/24.85	tff('24', plain, (~ cQ(sk_Xy1, sk_Xx1) | cQ(sk_Xx, sk_Xy)),
24.62/24.85	    inference('simplify', [status(thm)], ['23'])).
24.62/24.85	tff('25', plain,
24.62/24.85	    ![X0 : a]:
24.62/24.85	      (~ $true | ~ cQ(sk_Xy1, sk_Xx1) | ~ sk_Xf(X0, sk_Xx) | sk_Xf(X0, sk_Xy)),
24.62/24.85	    inference('sup-', [status(thm)], ['24', '7'])).
24.62/24.85	tff('26', plain,
24.62/24.85	    ![X0 : a]: (sk_Xf(X0, sk_Xy) | ~ sk_Xf(X0, sk_Xx) | ~ cQ(sk_Xy1, sk_Xx1)),
24.62/24.85	    inference('simplify', [status(thm)], ['25'])).
24.62/24.85	tff('27', plain,
24.62/24.85	    ![X0 : a, X1 : a]: (~ $true | ~ sk_Xf(X0, X1) | cQ(X1, sk_Xz1(X0))),
24.62/24.85	    inference('sup-', [status(thm)], ['0', '2'])).
24.62/24.85	tff('28', plain, ![X0 : a, X1 : a]: (cQ(X1, sk_Xz1(X0)) | ~ sk_Xf(X0, X1)),
24.62/24.85	    inference('simplify', [status(thm)], ['27'])).
24.62/24.85	tff('29', plain, ![X0 : a]: (~ $true | cQ(X0, sk_Xz1(X0))),
24.62/24.85	    inference('sup-', [status(thm)], ['1', '28'])).
24.62/24.85	tff('30', plain, ![X0 : a]: cQ(X0, sk_Xz1(X0)),
24.62/24.85	    inference('simplify', [status(thm)], ['29'])).
24.62/24.85	tff('31', plain,
24.62/24.85	    ![X0 : a, X1 : a]: (~ $true | ~ sk_Xf(X1, X0) | sk_Xf(X1, sk_Xz1(X0))),
24.62/24.85	    inference('sup-', [status(thm)], ['30', '7'])).
24.62/24.85	tff('32', plain,
24.62/24.85	    ![X0 : a, X1 : a]: (sk_Xf(X1, sk_Xz1(X0)) | ~ sk_Xf(X1, X0)),
24.62/24.85	    inference('simplify', [status(thm)], ['31'])).
24.62/24.85	tff('33', plain,
24.62/24.85	    ![X0 : a, X1 : a]:
24.62/24.85	      (~ $true
24.62/24.85	       | ~ sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))), X1)
24.62/24.85	       | cQ(X1, X0)),
24.62/24.85	    inference('sup-', [status(thm)], ['19', '2'])).
24.62/24.85	tff('34', plain,
24.62/24.85	    ![X0 : a, X1 : a]:
24.62/24.85	      (cQ(X1, X0) | ~ sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))), X1)),
24.62/24.85	    inference('simplify', [status(thm)], ['33'])).
24.62/24.85	tff('35', plain,
24.62/24.85	    ![X0 : a, X1 : a]:
24.62/24.85	      (~ $true
24.62/24.85	       | ~ sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X1))))), X0)
24.62/24.85	       | cQ(sk_Xz1(X0), X1)),
24.62/24.85	    inference('sup-', [status(thm)], ['32', '34'])).
24.62/24.85	tff('36', plain,
24.62/24.85	    ![X0 : a, X1 : a]:
24.62/24.85	      (cQ(sk_Xz1(X0), X1)
24.62/24.85	       | ~ sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X1))))), X0)),
24.62/24.85	    inference('simplify', [status(thm)], ['35'])).
24.62/24.85	tff('37', plain,
24.62/24.85	    ![X0 : a]:
24.62/24.85	      (~ $true
24.62/24.85	       | ~ cQ(sk_Xy1, sk_Xx1)
24.62/24.85	       | ~ sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))), sk_Xx)
24.62/24.85	       | cQ(sk_Xz1(sk_Xy), X0)),
24.62/24.85	    inference('sup-', [status(thm)], ['26', '36'])).
24.62/24.85	tff('38', plain,
24.62/24.85	    ![X0 : a]:
24.62/24.85	      (cQ(sk_Xz1(sk_Xy), X0)
24.62/24.85	       | ~ sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))), sk_Xx)
24.62/24.85	       | ~ cQ(sk_Xy1, sk_Xx1)),
24.62/24.85	    inference('simplify', [status(thm)], ['37'])).
24.62/24.85	tff('39', plain,
24.62/24.85	    (cQ(sk_Xx, sk_Xy) | cQ(sk_Xx1, sk_Xy1) | ~ cQ(sk_Xx2, sk_Xx2)),
24.62/24.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
24.62/24.85	tff('40', plain, (cQ(sk_Xx, sk_Xy) | cQ(sk_Xx1, sk_Xy1) | ~ $true),
24.62/24.85	    inference('demod', [status(thm)], ['39', '22'])).
24.62/24.85	tff('41', plain, (cQ(sk_Xx1, sk_Xy1) | cQ(sk_Xx, sk_Xy)),
24.62/24.85	    inference('simplify', [status(thm)], ['40'])).
24.62/24.85	tff('42', plain,
24.62/24.85	    ![X0 : a]:
24.62/24.85	      (~ $true | cQ(sk_Xx1, sk_Xy1) | ~ sk_Xf(X0, sk_Xx) | sk_Xf(X0, sk_Xy)),
24.62/24.85	    inference('sup-', [status(thm)], ['41', '7'])).
24.62/24.85	tff('43', plain,
24.62/24.85	    ![X0 : a]: (sk_Xf(X0, sk_Xy) | ~ sk_Xf(X0, sk_Xx) | cQ(sk_Xx1, sk_Xy1)),
24.62/24.85	    inference('simplify', [status(thm)], ['42'])).
24.62/24.85	tff('44', plain,
24.62/24.85	    ![X0 : a]:
24.62/24.85	      (~ $true | cQ(sk_Xx1, sk_Xy1) | ~ sk_Xf(X0, sk_Xx) | cQ(sk_Xy, X0)),
24.62/24.85	    inference('sup-', [status(thm)], ['43', '4'])).
24.62/24.85	tff('45', plain,
24.62/24.85	    ![X0 : a]: (cQ(sk_Xy, X0) | ~ sk_Xf(X0, sk_Xx) | cQ(sk_Xx1, sk_Xy1)),
24.62/24.85	    inference('simplify', [status(thm)], ['44'])).
24.62/24.85	tff('46', plain, (~ $true | cQ(sk_Xx1, sk_Xy1) | cQ(sk_Xy, sk_Xx)),
24.62/24.85	    inference('sup-', [status(thm)], ['1', '45'])).
24.62/24.85	tff('47', plain, (cQ(sk_Xy, sk_Xx) | cQ(sk_Xx1, sk_Xy1)),
24.62/24.85	    inference('simplify', [status(thm)], ['46'])).
24.62/24.85	tff('48', plain,
24.62/24.85	    ![X0 : a]:
24.62/24.85	      (~ $true | cQ(sk_Xx1, sk_Xy1) | ~ sk_Xf(X0, sk_Xy) | sk_Xf(X0, sk_Xx)),
24.62/24.85	    inference('sup-', [status(thm)], ['47', '7'])).
24.62/24.85	tff('49', plain,
24.62/24.85	    ![X0 : a]: (sk_Xf(X0, sk_Xx) | ~ sk_Xf(X0, sk_Xy) | cQ(sk_Xx1, sk_Xy1)),
24.62/24.85	    inference('simplify', [status(thm)], ['48'])).
24.62/24.85	tff('50', plain, (~ $true | cQ(sk_Xx1, sk_Xy1) | sk_Xf(sk_Xy, sk_Xx)),
24.62/24.85	    inference('sup-', [status(thm)], ['1', '49'])).
24.62/24.85	tff('51', plain, (sk_Xf(sk_Xy, sk_Xx) | cQ(sk_Xx1, sk_Xy1)),
24.62/24.85	    inference('simplify', [status(thm)], ['50'])).
24.62/24.85	tff('52', plain,
24.62/24.85	    (cQ(sk_Xy, sk_Xz) | cQ(sk_Xx1, sk_Xy1) | ~ cQ(sk_Xx2, sk_Xx2)),
24.62/24.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
24.62/24.85	tff('53', plain, (cQ(sk_Xy, sk_Xz) | cQ(sk_Xx1, sk_Xy1) | ~ $true),
24.62/24.85	    inference('demod', [status(thm)], ['52', '22'])).
24.62/24.85	tff('54', plain, (cQ(sk_Xx1, sk_Xy1) | cQ(sk_Xy, sk_Xz)),
24.62/24.85	    inference('simplify', [status(thm)], ['53'])).
24.62/24.85	tff('55', plain,
24.62/24.85	    ![X0 : a]:
24.62/24.85	      (~ $true | cQ(sk_Xx1, sk_Xy1) | ~ sk_Xf(X0, sk_Xy) | sk_Xf(X0, sk_Xz)),
24.62/24.85	    inference('sup-', [status(thm)], ['54', '7'])).
24.62/24.85	tff('56', plain,
24.62/24.85	    ![X0 : a]: (sk_Xf(X0, sk_Xz) | ~ sk_Xf(X0, sk_Xy) | cQ(sk_Xx1, sk_Xy1)),
24.62/24.85	    inference('simplify', [status(thm)], ['55'])).
24.62/24.85	tff('57', plain,
24.62/24.85	    ![X0 : a, X1 : a]:
24.62/24.85	      (~ $true
24.62/24.85	       | cQ(sk_Xx1, sk_Xy1)
24.62/24.85	       | ~ sk_Xf(X0, sk_Xy)
24.62/24.85	       | ~ sk_Xf(X0, X1)
24.62/24.85	       | cQ(X1, sk_Xz)),
24.62/24.85	    inference('sup-', [status(thm)], ['56', '2'])).
24.62/24.85	tff('58', plain,
24.62/24.85	    ![X0 : a, X1 : a]:
24.62/24.85	      (cQ(X1, sk_Xz)
24.62/24.85	       | ~ sk_Xf(X0, X1)
24.62/24.85	       | ~ sk_Xf(X0, sk_Xy)
24.62/24.85	       | cQ(sk_Xx1, sk_Xy1)),
24.62/24.85	    inference('simplify', [status(thm)], ['57'])).
24.62/24.85	tff('59', plain,
24.62/24.85	    (~ $true
24.62/24.85	     | cQ(sk_Xx1, sk_Xy1)
24.62/24.85	     | cQ(sk_Xx1, sk_Xy1)
24.62/24.85	     | ~ sk_Xf(sk_Xy, sk_Xy)
24.62/24.85	     | cQ(sk_Xx, sk_Xz)),
24.62/24.85	    inference('sup-', [status(thm)], ['51', '58'])).
24.62/24.85	tff('60', plain,
24.62/24.85	    (~ $true
24.62/24.85	     | cQ(sk_Xx1, sk_Xy1)
24.62/24.85	     | cQ(sk_Xx1, sk_Xy1)
24.62/24.85	     | ~ $true
24.62/24.85	     | cQ(sk_Xx, sk_Xz)),
24.62/24.85	    inference('demod', [status(thm)], ['59', '1'])).
24.62/24.85	tff('61', plain, (cQ(sk_Xx, sk_Xz) | cQ(sk_Xx1, sk_Xy1)),
24.62/24.85	    inference('simplify', [status(thm)], ['60'])).
24.62/24.85	tff('62', plain,
24.62/24.85	    (~ cQ(sk_Xx, sk_Xz) | cQ(sk_Xx1, sk_Xy1) | ~ cQ(sk_Xx2, sk_Xx2)),
24.62/24.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
24.62/24.85	tff('63', plain, (~ cQ(sk_Xx, sk_Xz) | cQ(sk_Xx1, sk_Xy1) | ~ $true),
24.62/24.85	    inference('demod', [status(thm)], ['62', '22'])).
24.62/24.85	tff('64', plain, (cQ(sk_Xx1, sk_Xy1) | ~ cQ(sk_Xx, sk_Xz)),
24.62/24.85	    inference('simplify', [status(thm)], ['63'])).
24.62/24.85	tff('65', plain, cQ(sk_Xx1, sk_Xy1),
24.62/24.85	    inference('clc', [status(thm)], ['61', '64'])).
24.62/24.85	tff('66', plain,
24.62/24.85	    ![X0 : a]: (~ $true | ~ sk_Xf(X0, sk_Xx1) | sk_Xf(X0, sk_Xy1)),
24.62/24.85	    inference('sup-', [status(thm)], ['65', '7'])).
24.62/24.85	tff('67', plain, ![X0 : a]: (sk_Xf(X0, sk_Xy1) | ~ sk_Xf(X0, sk_Xx1)),
24.62/24.85	    inference('simplify', [status(thm)], ['66'])).
24.62/24.85	tff('68', plain, ![X0 : a]: (~ $true | ~ sk_Xf(X0, sk_Xx1) | cQ(sk_Xy1, X0)),
24.62/24.85	    inference('sup-', [status(thm)], ['67', '4'])).
24.62/24.85	tff('69', plain, ![X0 : a]: (cQ(sk_Xy1, X0) | ~ sk_Xf(X0, sk_Xx1)),
24.62/24.85	    inference('simplify', [status(thm)], ['68'])).
24.62/24.85	tff('70', plain, (~ $true | cQ(sk_Xy1, sk_Xx1)),
24.62/24.85	    inference('sup-', [status(thm)], ['1', '69'])).
24.62/24.85	tff('71', plain, cQ(sk_Xy1, sk_Xx1),
24.62/24.85	    inference('simplify', [status(thm)], ['70'])).
24.62/24.85	tff('72', plain,
24.62/24.85	    ![X0 : a]:
24.62/24.85	      (cQ(sk_Xz1(sk_Xy), X0)
24.62/24.85	       | ~ sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))), sk_Xx)
24.62/24.85	       | ~ $true),
24.62/24.85	    inference('demod', [status(thm)], ['38', '71'])).
24.62/24.85	tff('73', plain,
24.62/24.85	    ![X0 : a]:
24.62/24.85	      (~ sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))), sk_Xx)
24.62/24.85	       | cQ(sk_Xz1(sk_Xy), X0)),
24.62/24.85	    inference('simplify', [status(thm)], ['72'])).
24.62/24.85	tff('74', plain, (~ $true | cQ(sk_Xz1(sk_Xy), sk_Xx)),
24.62/24.85	    inference('sup-', [status(thm)], ['19', '73'])).
24.62/24.85	tff('75', plain, cQ(sk_Xz1(sk_Xy), sk_Xx),
24.62/24.85	    inference('simplify', [status(thm)], ['74'])).
24.62/24.85	tff('76', plain,
24.62/24.85	    ![X0 : a]: (~ $true | ~ sk_Xf(X0, sk_Xz1(sk_Xy)) | sk_Xf(X0, sk_Xx)),
24.62/24.85	    inference('sup-', [status(thm)], ['75', '7'])).
24.62/24.85	tff('77', plain, ![X0 : a]: (sk_Xf(X0, sk_Xx) | ~ sk_Xf(X0, sk_Xz1(sk_Xy))),
24.62/24.85	    inference('simplify', [status(thm)], ['76'])).
24.62/24.85	tff('78', plain, (~ $true | sk_Xf(sk_Xy, sk_Xx)),
24.62/24.85	    inference('sup-', [status(thm)], ['0', '77'])).
24.62/24.85	tff('79', plain, sk_Xf(sk_Xy, sk_Xx),
24.62/24.85	    inference('simplify', [status(thm)], ['78'])).
24.62/24.85	tff('80', plain,
24.62/24.85	    (cQ(sk_Xy, sk_Xz) | ~ cQ(sk_Xy1, sk_Xx1) | ~ cQ(sk_Xx2, sk_Xx2)),
24.62/24.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
24.62/24.85	tff('81', plain, (cQ(sk_Xy, sk_Xz) | ~ cQ(sk_Xy1, sk_Xx1) | ~ $true),
24.62/24.85	    inference('demod', [status(thm)], ['80', '22'])).
24.62/24.85	tff('82', plain, (~ cQ(sk_Xy1, sk_Xx1) | cQ(sk_Xy, sk_Xz)),
24.62/24.85	    inference('simplify', [status(thm)], ['81'])).
24.62/24.85	tff('83', plain,
24.62/24.85	    ![X0 : a]:
24.62/24.85	      (~ $true | ~ cQ(sk_Xy1, sk_Xx1) | ~ sk_Xf(X0, sk_Xy) | sk_Xf(X0, sk_Xz)),
24.62/24.85	    inference('sup-', [status(thm)], ['82', '7'])).
24.62/24.85	tff('84', plain,
24.62/24.85	    ![X0 : a]: (sk_Xf(X0, sk_Xz) | ~ sk_Xf(X0, sk_Xy) | ~ cQ(sk_Xy1, sk_Xx1)),
24.62/24.85	    inference('simplify', [status(thm)], ['83'])).
24.62/24.85	tff('85', plain,
24.62/24.85	    ![X0 : a, X1 : a]:
24.62/24.85	      (~ $true
24.62/24.85	       | ~ cQ(sk_Xy1, sk_Xx1)
24.62/24.85	       | ~ sk_Xf(X0, sk_Xy)
24.62/24.85	       | ~ sk_Xf(X0, X1)
24.62/24.85	       | cQ(X1, sk_Xz)),
24.62/24.85	    inference('sup-', [status(thm)], ['84', '2'])).
24.62/24.85	tff('86', plain,
24.62/24.85	    ![X0 : a, X1 : a]:
24.62/24.85	      (cQ(X1, sk_Xz)
24.62/24.85	       | ~ sk_Xf(X0, X1)
24.62/24.85	       | ~ sk_Xf(X0, sk_Xy)
24.62/24.85	       | ~ cQ(sk_Xy1, sk_Xx1)),
24.62/24.85	    inference('simplify', [status(thm)], ['85'])).
24.62/24.85	tff('87', plain,
24.62/24.85	    (~ $true
24.62/24.85	     | ~ cQ(sk_Xy1, sk_Xx1)
24.62/24.85	     | ~ sk_Xf(sk_Xy, sk_Xy)
24.62/24.85	     | cQ(sk_Xx, sk_Xz)),
24.62/24.85	    inference('sup-', [status(thm)], ['79', '86'])).
24.62/24.85	tff('88', plain, (~ $true | ~ $true | ~ $true | cQ(sk_Xx, sk_Xz)),
24.62/24.85	    inference('demod', [status(thm)], ['87', '71', '1'])).
24.62/24.85	tff('89', plain, cQ(sk_Xx, sk_Xz),
24.62/24.85	    inference('simplify', [status(thm)], ['88'])).
24.62/24.85	tff('90', plain,
24.62/24.85	    (~ cQ(sk_Xx, sk_Xz) | ~ cQ(sk_Xy1, sk_Xx1) | ~ cQ(sk_Xx2, sk_Xx2)),
24.62/24.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
24.62/24.85	tff('91', plain, (~ $true | ~ cQ(sk_Xx2, sk_Xx2) | ~ cQ(sk_Xy1, sk_Xx1)),
24.62/24.85	    inference('sup-', [status(thm)], ['89', '90'])).
24.62/24.85	tff('92', plain, (~ $true | ~ $true | ~ $true),
24.62/24.85	    inference('demod', [status(thm)], ['91', '22', '71'])).
24.62/24.85	tff('93', plain, $false, inference('simplify', [status(thm)], ['92'])).
24.62/24.85	
24.62/24.85	% SZS output end Refutation
24.62/24.85	EOF
