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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.19	% Computer   : n037.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:26:53 CST 2018
1.04/1.22	% done 210 iterations in 1.019s
1.04/1.22	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
1.04/1.22	% SZS output start Refutation
1.04/1.22	tff('thm/sets/INTER_IDEMPOT_', conjecture,
1.04/1.22	  (![A:$tType,A0:(A > $o)]: ('const/sets/INTER'(A,A0,A0) = A0))).
1.04/1.22	tff(zf_stmt_0, negated_conjecture,
1.04/1.22	  (~(![A:$tType,A0:(A > $o)]: ('const/sets/INTER'(A,A0,A0) = A0)))).
1.04/1.22	tff('0', plain, 'const/sets/INTER'(sk_A, sk_A0, sk_A0) != sk_A0,
1.04/1.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.04/1.22	tff('thm/sets/EXTENSION_', axiom,
1.04/1.22	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
1.04/1.22	     ((A0 = A1) <=>
1.04/1.22	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
1.04/1.22	tff('1', plain,
1.04/1.22	    ![X9 : $tType, X12 : X9 > $o, X14 : X9 > $o]:
1.04/1.22	      (X12 = X14
1.04/1.22	       | 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X14)
1.04/1.22	       | 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X12)),
1.04/1.22	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
1.04/1.22	tff('thm/sets/IN_', axiom,
1.04/1.22	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
1.04/1.22	tff('2', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
1.04/1.22	      (X1(X2) | ~ 'const/sets/IN'(X0, X2, X1)),
1.04/1.22	    inference('cnf', [status(esa)], [thm/sets/IN_])).
1.04/1.22	tff('3', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
1.04/1.22	      (~ $true
1.04/1.22	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
1.04/1.22	       | X2 = X1
1.04/1.22	       | X1(sk_A2(X0, X1, X2))),
1.04/1.22	    inference('sup-', [status(thm)], ['1', '2'])).
1.04/1.22	tff('4', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
1.04/1.22	      (X1(sk_A2(X0, X1, X2))
1.04/1.22	       | X2 = X1
1.04/1.22	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)),
1.04/1.22	    inference('simplify', [status(thm)], ['3'])).
1.04/1.22	tff('thm/sets/IN_INTER_', axiom,
1.04/1.22	  (![A:$tType,A0:(A > $o),A1:(A > $o),A2:A]:
1.04/1.22	     ('const/sets/IN'(A,A2,'const/sets/INTER'(A,A0,A1)) <=>
1.04/1.22	      ('const/sets/IN'(A,A2,A1) & 'const/sets/IN'(A,A2,A0))))).
1.04/1.22	tff('5', plain,
1.04/1.22	    ![X4 : $tType, X5 : X4, X6 : X4 > $o, X7 : X4 > $o]:
1.04/1.22	      ('const/sets/IN'(X4, X5, X6)
1.04/1.22	       | ~ 'const/sets/IN'(X4, X5, 'const/sets/INTER'(X4, X7, X6))),
1.04/1.22	    inference('cnf', [status(esa)], [thm/sets/IN_INTER_])).
1.04/1.22	tff('6', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
1.04/1.22	      (~ $true
1.04/1.22	       | 'const/sets/INTER'(X0, X2, X1) = X3
1.04/1.22	       | X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)))
1.04/1.22	       | 'const/sets/IN'(X0, sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)), 
1.04/1.22	           X1)),
1.04/1.22	    inference('sup-', [status(thm)], ['4', '5'])).
1.04/1.22	tff('7', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
1.04/1.22	      ('const/sets/IN'(X0, sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)), X1)
1.04/1.22	       | X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)))
1.04/1.22	       | 'const/sets/INTER'(X0, X2, X1) = X3),
1.04/1.22	    inference('simplify', [status(thm)], ['6'])).
1.04/1.22	tff('8', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
1.04/1.22	      (~ $true
1.04/1.22	       | 'const/sets/INTER'(X0, X2, X1) = X3
1.04/1.22	       | X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)))
1.04/1.22	       | X1(sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)))),
1.04/1.22	    inference('sup-', [status(thm)], ['7', '2'])).
1.04/1.22	tff('9', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
1.04/1.22	      (X1(sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)))
1.04/1.22	       | X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)))
1.04/1.22	       | 'const/sets/INTER'(X0, X2, X1) = X3),
1.04/1.22	    inference('simplify', [status(thm)], ['8'])).
1.04/1.22	tff('10', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
1.04/1.22	      (~ $true
1.04/1.22	       | 'const/sets/INTER'(X0, X2, X1) = X1
1.04/1.22	       | X1(sk_A2(X0, X1, 'const/sets/INTER'(X0, X2, X1)))),
1.04/1.22	    inference('eq_fact', [status(thm)], ['9'])).
1.04/1.22	tff('11', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
1.04/1.22	      (X1(sk_A2(X0, X1, 'const/sets/INTER'(X0, X2, X1)))
1.04/1.22	       | 'const/sets/INTER'(X0, X2, X1) = X1),
1.04/1.22	    inference('simplify', [status(thm)], ['10'])).
1.04/1.22	tff('12', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X3 : X0]:
1.04/1.22	      ('const/sets/IN'(X0, X3, X1) | ~ X1(X3)),
1.04/1.22	    inference('cnf', [status(esa)], [thm/sets/IN_])).
1.04/1.22	tff('13', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
1.04/1.22	      (~ $true
1.04/1.22	       | 'const/sets/INTER'(X0, X2, X1) = X1
1.04/1.22	       | 'const/sets/IN'(X0, sk_A2(X0, X1, 'const/sets/INTER'(X0, X2, X1)), 
1.04/1.22	           X1)),
1.04/1.22	    inference('sup-', [status(thm)], ['11', '12'])).
1.04/1.22	tff('14', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
1.04/1.22	      ('const/sets/IN'(X0, sk_A2(X0, X1, 'const/sets/INTER'(X0, X2, X1)), X1)
1.04/1.22	       | 'const/sets/INTER'(X0, X2, X1) = X1),
1.04/1.22	    inference('simplify', [status(thm)], ['13'])).
1.04/1.22	tff('15', plain,
1.04/1.22	    ![X4 : $tType, X6 : X4 > $o, X7 : X4 > $o, X8 : X4]:
1.04/1.22	      ('const/sets/IN'(X4, X8, 'const/sets/INTER'(X4, X7, X6))
1.04/1.22	       | ~ 'const/sets/IN'(X4, X8, X7)
1.04/1.22	       | ~ 'const/sets/IN'(X4, X8, X6)),
1.04/1.22	    inference('cnf', [status(esa)], [thm/sets/IN_INTER_])).
1.04/1.22	tff('16', plain,
1.04/1.22	    ![X9 : $tType, X12 : X9 > $o, X14 : X9 > $o]:
1.04/1.22	      (X12 = X14
1.04/1.22	       | ~ 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X14)
1.04/1.22	       | ~ 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X12)),
1.04/1.22	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
1.04/1.22	tff('17', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
1.04/1.22	      (~ $true
1.04/1.22	       | 'const/sets/INTER'(X0, X2, X1) = X1
1.04/1.22	       | ~ 'const/sets/IN'(X0, 
1.04/1.22	             sk_A2(X0, X1, 'const/sets/INTER'(X0, X2, X1)), 
1.04/1.22	             'const/sets/INTER'(X0, X2, X1))
1.04/1.22	       | 'const/sets/INTER'(X0, X2, X1) = X1),
1.04/1.22	    inference('sup-', [status(thm)], ['14', '16'])).
1.04/1.22	tff('18', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
1.04/1.22	      (~ 'const/sets/IN'(X0, sk_A2(X0, X1, 'const/sets/INTER'(X0, X2, X1)), 
1.04/1.22	           'const/sets/INTER'(X0, X2, X1))
1.04/1.22	       | 'const/sets/INTER'(X0, X2, X1) = X1),
1.04/1.22	    inference('simplify', [status(thm)], ['17'])).
1.04/1.22	tff('19', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
1.04/1.22	      (~ $true
1.04/1.22	       | ~ 'const/sets/IN'(X0, 
1.04/1.22	             sk_A2(X0, X1, 'const/sets/INTER'(X0, X2, X1)), X1)
1.04/1.22	       | ~ 'const/sets/IN'(X0, 
1.04/1.22	             sk_A2(X0, X1, 'const/sets/INTER'(X0, X2, X1)), X2)
1.04/1.22	       | 'const/sets/INTER'(X0, X2, X1) = X1),
1.04/1.22	    inference('sup-', [status(thm)], ['15', '18'])).
1.04/1.22	tff('20', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
1.04/1.22	      ('const/sets/INTER'(X0, X2, X1) = X1
1.04/1.22	       | ~ 'const/sets/IN'(X0, 
1.04/1.22	             sk_A2(X0, X1, 'const/sets/INTER'(X0, X2, X1)), X2)
1.04/1.22	       | ~ 'const/sets/IN'(X0, 
1.04/1.22	             sk_A2(X0, X1, 'const/sets/INTER'(X0, X2, X1)), X1)),
1.04/1.22	    inference('simplify', [status(thm)], ['19'])).
1.04/1.22	tff('21', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
1.04/1.22	      (~ 'const/sets/IN'(X0, sk_A2(X0, X1, 'const/sets/INTER'(X0, X2, X1)), 
1.04/1.22	           X2)
1.04/1.22	       | 'const/sets/INTER'(X0, X2, X1) = X1),
1.04/1.22	    inference('clc', [status(thm)], ['20', '14'])).
1.04/1.22	tff('22', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o]:
1.04/1.22	      (~ $true
1.04/1.22	       | 'const/sets/INTER'(X0, X1, X1) = X1
1.04/1.22	       | 'const/sets/INTER'(X0, X1, X1) = X1),
1.04/1.22	    inference('sup-', [status(thm)], ['14', '21'])).
1.04/1.22	tff('23', plain,
1.04/1.22	    ![X0 : $tType, X1 : X0 > $o]: 'const/sets/INTER'(X0, X1, X1) = X1,
1.04/1.22	    inference('simplify', [status(thm)], ['22'])).
1.04/1.22	tff('24', plain, sk_A0 != sk_A0,
1.04/1.22	    inference('demod', [status(thm)], ['0', '23'])).
1.04/1.22	tff('25', plain, $false, inference('simplify', [status(thm)], ['24'])).
1.04/1.22	
1.04/1.22	% SZS output end Refutation
1.04/1.22	EOF
