0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n119.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:27:08 CST 2018
0.00/0.47	% done 107 iterations in 0.274s
0.00/0.47	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.47	% SZS output start Refutation
0.00/0.47	tff('thm/sets/UNION_IDEMPOT_', conjecture,
0.00/0.47	  (![A:$tType,A0:(A > $o)]: ('const/sets/UNION'(A,A0,A0) = A0))).
0.00/0.47	tff(zf_stmt_0, negated_conjecture,
0.00/0.47	  (~(![A:$tType,A0:(A > $o)]: ('const/sets/UNION'(A,A0,A0) = A0)))).
0.00/0.47	tff('0', plain, 'const/sets/UNION'(sk_A, sk_A0, sk_A0) != sk_A0,
0.00/0.47	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.47	tff('thm/sets/IN_UNION_', axiom,
0.00/0.47	  (![A:$tType,A0:(A > $o),A1:(A > $o),A2:A]:
0.00/0.47	     ('const/sets/IN'(A,A2,'const/sets/UNION'(A,A0,A1)) <=>
0.00/0.47	      ('const/sets/IN'(A,A2,A1) | 'const/sets/IN'(A,A2,A0))))).
0.00/0.47	tff('1', plain,
0.00/0.47	    ![X4 : $tType, X6 : X4 > $o, X7 : X4 > $o, X8 : X4]:
0.00/0.47	      ('const/sets/IN'(X4, X8, 'const/sets/UNION'(X4, X6, X7))
0.00/0.47	       | ~ 'const/sets/IN'(X4, X8, X7)),
0.00/0.47	    inference('cnf', [status(esa)], [thm/sets/IN_UNION_])).
0.00/0.47	tff('thm/sets/EXTENSION_', axiom,
0.00/0.47	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.00/0.47	     ((A0 = A1) <=>
0.00/0.47	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
0.00/0.47	tff('2', plain,
0.00/0.47	    ![X9 : $tType, X12 : X9 > $o, X14 : X9 > $o]:
0.00/0.47	      (X12 = X14
0.00/0.47	       | 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X14)
0.00/0.47	       | 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X12)),
0.00/0.47	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
0.00/0.47	tff('thm/sets/IN_', axiom,
0.00/0.47	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
0.00/0.47	tff('3', plain,
0.00/0.47	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
0.00/0.47	      (X1(X2) | ~ 'const/sets/IN'(X0, X2, X1)),
0.00/0.47	    inference('cnf', [status(esa)], [thm/sets/IN_])).
0.00/0.47	tff('4', plain,
0.00/0.47	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
0.00/0.47	       | X2 = X1
0.00/0.47	       | X1(sk_A2(X0, X1, X2))),
0.00/0.47	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.47	tff('5', plain,
0.00/0.47	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.00/0.47	      (X1(sk_A2(X0, X1, X2))
0.00/0.47	       | X2 = X1
0.00/0.47	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)),
0.00/0.47	    inference('simplify', [status(thm)], ['4'])).
0.00/0.47	tff('6', plain,
0.00/0.47	    ![X4 : $tType, X5 : X4, X6 : X4 > $o, X7 : X4 > $o]:
0.00/0.47	      ('const/sets/IN'(X4, X5, X6)
0.00/0.47	       | 'const/sets/IN'(X4, X5, X7)
0.00/0.47	       | ~ 'const/sets/IN'(X4, X5, 'const/sets/UNION'(X4, X6, X7))),
0.00/0.47	    inference('cnf', [status(esa)], [thm/sets/IN_UNION_])).
0.00/0.47	tff('7', plain,
0.00/0.47	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | 'const/sets/UNION'(X0, X2, X1) = X3
0.00/0.47	       | X3(sk_A2(X0, X3, 'const/sets/UNION'(X0, X2, X1)))
0.00/0.47	       | 'const/sets/IN'(X0, sk_A2(X0, X3, 'const/sets/UNION'(X0, X2, X1)), 
0.00/0.47	           X1)
0.00/0.47	       | 'const/sets/IN'(X0, sk_A2(X0, X3, 'const/sets/UNION'(X0, X2, X1)), 
0.00/0.47	           X2)),
0.00/0.47	    inference('sup-', [status(thm)], ['5', '6'])).
0.00/0.47	tff('8', plain,
0.00/0.47	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.00/0.47	      ('const/sets/IN'(X0, sk_A2(X0, X3, 'const/sets/UNION'(X0, X2, X1)), X2)
0.00/0.47	       | 'const/sets/IN'(X0, sk_A2(X0, X3, 'const/sets/UNION'(X0, X2, X1)), 
0.00/0.47	           X1)
0.00/0.47	       | X3(sk_A2(X0, X3, 'const/sets/UNION'(X0, X2, X1)))
0.00/0.47	       | 'const/sets/UNION'(X0, X2, X1) = X3),
0.00/0.47	    inference('simplify', [status(thm)], ['7'])).
0.00/0.47	tff('9', plain,
0.00/0.47	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.00/0.48	      (~ $true
0.00/0.48	       | 'const/sets/UNION'(X0, X1, X1) = X2
0.00/0.48	       | X2(sk_A2(X0, X2, 'const/sets/UNION'(X0, X1, X1)))
0.00/0.48	       | 'const/sets/IN'(X0, sk_A2(X0, X2, 'const/sets/UNION'(X0, X1, X1)), 
0.00/0.48	           X1)),
0.00/0.48	    inference('eq_fact', [status(thm)], ['8'])).
0.00/0.48	tff('10', plain,
0.00/0.48	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.00/0.48	      ('const/sets/IN'(X0, sk_A2(X0, X2, 'const/sets/UNION'(X0, X1, X1)), X1)
0.00/0.48	       | X2(sk_A2(X0, X2, 'const/sets/UNION'(X0, X1, X1)))
0.00/0.48	       | 'const/sets/UNION'(X0, X1, X1) = X2),
0.00/0.48	    inference('simplify', [status(thm)], ['9'])).
0.00/0.48	tff('11', plain,
0.00/0.48	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.00/0.48	      (~ $true
0.00/0.48	       | 'const/sets/UNION'(X0, X1, X1) = X2
0.00/0.48	       | X2(sk_A2(X0, X2, 'const/sets/UNION'(X0, X1, X1)))
0.00/0.48	       | X1(sk_A2(X0, X2, 'const/sets/UNION'(X0, X1, X1)))),
0.00/0.48	    inference('sup-', [status(thm)], ['10', '3'])).
0.00/0.48	tff('12', plain,
0.00/0.48	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.00/0.48	      (X1(sk_A2(X0, X2, 'const/sets/UNION'(X0, X1, X1)))
0.00/0.48	       | X2(sk_A2(X0, X2, 'const/sets/UNION'(X0, X1, X1)))
0.00/0.48	       | 'const/sets/UNION'(X0, X1, X1) = X2),
0.00/0.48	    inference('simplify', [status(thm)], ['11'])).
0.00/0.48	tff('13', plain,
0.00/0.48	    ![X0 : $tType, X1 : X0 > $o]:
0.00/0.48	      (~ $true
0.00/0.48	       | 'const/sets/UNION'(X0, X1, X1) = X1
0.00/0.48	       | X1(sk_A2(X0, X1, 'const/sets/UNION'(X0, X1, X1)))),
0.00/0.48	    inference('eq_fact', [status(thm)], ['12'])).
0.00/0.48	tff('14', plain,
0.00/0.48	    ![X0 : $tType, X1 : X0 > $o]:
0.00/0.48	      (X1(sk_A2(X0, X1, 'const/sets/UNION'(X0, X1, X1)))
0.00/0.48	       | 'const/sets/UNION'(X0, X1, X1) = X1),
0.00/0.48	    inference('simplify', [status(thm)], ['13'])).
0.00/0.48	tff('15', plain,
0.00/0.48	    ![X0 : $tType, X1 : X0 > $o, X3 : X0]:
0.00/0.48	      ('const/sets/IN'(X0, X3, X1) | ~ X1(X3)),
0.00/0.48	    inference('cnf', [status(esa)], [thm/sets/IN_])).
0.00/0.48	tff('16', plain,
0.00/0.48	    ![X0 : $tType, X1 : X0 > $o]:
0.00/0.48	      (~ $true
0.00/0.48	       | 'const/sets/UNION'(X0, X1, X1) = X1
0.00/0.48	       | 'const/sets/IN'(X0, sk_A2(X0, X1, 'const/sets/UNION'(X0, X1, X1)), 
0.00/0.48	           X1)),
0.00/0.48	    inference('sup-', [status(thm)], ['14', '15'])).
0.00/0.48	tff('17', plain,
0.00/0.48	    ![X0 : $tType, X1 : X0 > $o]:
0.00/0.48	      ('const/sets/IN'(X0, sk_A2(X0, X1, 'const/sets/UNION'(X0, X1, X1)), X1)
0.00/0.48	       | 'const/sets/UNION'(X0, X1, X1) = X1),
0.00/0.48	    inference('simplify', [status(thm)], ['16'])).
0.00/0.48	tff('18', plain,
0.00/0.48	    ![X9 : $tType, X12 : X9 > $o, X14 : X9 > $o]:
0.00/0.48	      (X12 = X14
0.00/0.48	       | ~ 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X14)
0.00/0.48	       | ~ 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X12)),
0.00/0.48	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
0.00/0.48	tff('19', plain,
0.00/0.48	    ![X0 : $tType, X1 : X0 > $o]:
0.00/0.48	      (~ $true
0.00/0.48	       | 'const/sets/UNION'(X0, X1, X1) = X1
0.00/0.48	       | ~ 'const/sets/IN'(X0, 
0.00/0.48	             sk_A2(X0, X1, 'const/sets/UNION'(X0, X1, X1)), 
0.00/0.48	             'const/sets/UNION'(X0, X1, X1))
0.00/0.48	       | 'const/sets/UNION'(X0, X1, X1) = X1),
0.00/0.48	    inference('sup-', [status(thm)], ['17', '18'])).
0.00/0.48	tff('20', plain,
0.00/0.48	    ![X0 : $tType, X1 : X0 > $o]:
0.00/0.48	      (~ 'const/sets/IN'(X0, sk_A2(X0, X1, 'const/sets/UNION'(X0, X1, X1)), 
0.00/0.48	           'const/sets/UNION'(X0, X1, X1))
0.00/0.48	       | 'const/sets/UNION'(X0, X1, X1) = X1),
0.00/0.48	    inference('simplify', [status(thm)], ['19'])).
0.00/0.48	tff('21', plain,
0.00/0.48	    ![X0 : $tType, X1 : X0 > $o]:
0.00/0.48	      (~ $true
0.00/0.48	       | ~ 'const/sets/IN'(X0, 
0.00/0.48	             sk_A2(X0, X1, 'const/sets/UNION'(X0, X1, X1)), X1)
0.00/0.48	       | 'const/sets/UNION'(X0, X1, X1) = X1),
0.00/0.48	    inference('sup-', [status(thm)], ['1', '20'])).
0.00/0.48	tff('22', plain,
0.00/0.48	    ![X0 : $tType, X1 : X0 > $o]:
0.00/0.48	      ('const/sets/UNION'(X0, X1, X1) = X1
0.00/0.48	       | ~ 'const/sets/IN'(X0, 
0.00/0.48	             sk_A2(X0, X1, 'const/sets/UNION'(X0, X1, X1)), X1)),
0.00/0.48	    inference('simplify', [status(thm)], ['21'])).
0.00/0.48	tff('23', plain,
0.00/0.48	    ![X0 : $tType, X1 : X0 > $o]: 'const/sets/UNION'(X0, X1, X1) = X1,
0.00/0.48	    inference('clc', [status(thm)], ['22', '17'])).
0.00/0.48	tff('24', plain, sk_A0 != sk_A0,
0.00/0.48	    inference('demod', [status(thm)], ['0', '23'])).
0.00/0.48	tff('25', plain, $false, inference('simplify', [status(thm)], ['24'])).
0.00/0.48	
0.00/0.48	% SZS output end Refutation
0.00/0.48	EOF
