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    : purification_ext
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-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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n164.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:26:54 CST 2018
1.59/1.77	% done 245 iterations in 1.577s
1.59/1.77	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
1.59/1.77	% SZS output start Refutation
1.59/1.77	tff('thm/sets/EXTENSION_', axiom,
1.59/1.77	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
1.59/1.77	     ((A0 = A1) <=>
1.59/1.77	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
1.59/1.77	tff('0', plain,
1.59/1.77	    ![X9 : $tType, X12 : X9 > $o, X14 : X9 > $o]:
1.59/1.77	      (X12 = X14
1.59/1.77	       | 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X14)
1.59/1.77	       | 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X12)),
1.59/1.77	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
1.59/1.77	tff('thm/sets/IN_UNION_', axiom,
1.59/1.77	  (![A:$tType,A0:(A > $o),A1:(A > $o),A2:A]:
1.59/1.77	     ('const/sets/IN'(A,A2,'const/sets/UNION'(A,A0,A1)) <=>
1.59/1.77	      ('const/sets/IN'(A,A2,A1) | 'const/sets/IN'(A,A2,A0))))).
1.59/1.77	tff('1', plain,
1.59/1.77	    ![X4 : $tType, X5 : X4, X6 : X4 > $o, X7 : X4 > $o]:
1.59/1.77	      ('const/sets/IN'(X4, X5, X6)
1.59/1.77	       | 'const/sets/IN'(X4, X5, X7)
1.59/1.77	       | ~ 'const/sets/IN'(X4, X5, 'const/sets/UNION'(X4, X6, X7))),
1.59/1.77	    inference('cnf', [status(esa)], [thm/sets/IN_UNION_])).
1.59/1.77	tff('2', plain,
1.59/1.77	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
1.59/1.77	      (~ $true
1.59/1.77	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), 
1.59/1.77	           X3)
1.59/1.77	       | X3 = 'const/sets/UNION'(X0, X2, X1)
1.59/1.77	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), 
1.59/1.77	           X1)
1.59/1.77	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), 
1.59/1.77	           X2)),
1.59/1.77	    inference('sup-', [status(thm)], ['0', '1'])).
1.59/1.77	tff('3', plain,
1.59/1.77	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
1.59/1.77	      ('const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), X2)
1.59/1.77	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), 
1.59/1.77	           X1)
1.59/1.77	       | X3 = 'const/sets/UNION'(X0, X2, X1)
1.59/1.77	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), 
1.59/1.77	           X3)),
1.59/1.77	    inference('simplify', [status(thm)], ['2'])).
1.59/1.77	tff('4', plain,
1.59/1.77	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
1.59/1.77	      (~ $true
1.59/1.77	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X2), 
1.59/1.77	           X2)
1.59/1.77	       | X2 = 'const/sets/UNION'(X0, X1, X1)
1.59/1.77	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X2), 
1.59/1.77	           X1)),
1.59/1.77	    inference('eq_fact', [status(thm)], ['3'])).
1.59/1.77	tff('5', plain,
1.59/1.77	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
1.59/1.77	      ('const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X2), X1)
1.59/1.77	       | X2 = 'const/sets/UNION'(X0, X1, X1)
1.59/1.77	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X2), 
1.59/1.77	           X2)),
1.59/1.77	    inference('simplify', [status(thm)], ['4'])).
1.59/1.77	tff('6', plain,
1.59/1.77	    ![X0 : $tType, X1 : X0 > $o]:
1.59/1.77	      (~ $true
1.59/1.77	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X1), 
1.59/1.77	           X1)
1.59/1.77	       | X1 = 'const/sets/UNION'(X0, X1, X1)),
1.59/1.77	    inference('eq_fact', [status(thm)], ['5'])).
1.59/1.77	tff('7', plain,
1.59/1.77	    ![X0 : $tType, X1 : X0 > $o]:
1.59/1.77	      (X1 = 'const/sets/UNION'(X0, X1, X1)
1.59/1.77	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X1), 
1.59/1.77	           X1)),
1.59/1.77	    inference('simplify', [status(thm)], ['6'])).
1.59/1.77	tff('8', plain,
1.59/1.77	    ![X4 : $tType, X6 : X4 > $o, X7 : X4 > $o, X8 : X4]:
1.59/1.77	      ('const/sets/IN'(X4, X8, 'const/sets/UNION'(X4, X6, X7))
1.59/1.77	       | ~ 'const/sets/IN'(X4, X8, X7)),
1.59/1.77	    inference('cnf', [status(esa)], [thm/sets/IN_UNION_])).
1.59/1.77	tff('9', plain,
1.59/1.77	    ![X9 : $tType, X12 : X9 > $o, X14 : X9 > $o]:
1.59/1.77	      (X12 = X14
1.59/1.77	       | ~ 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X14)
1.59/1.77	       | ~ 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X12)),
1.59/1.77	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
1.59/1.77	tff('10', plain,
1.59/1.77	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
1.59/1.77	      (~ $true
1.59/1.77	       | ~ 'const/sets/IN'(X0, 
1.59/1.77	             sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), X1)
1.59/1.77	       | ~ 'const/sets/IN'(X0, 
1.59/1.77	             sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), X3)
1.59/1.77	       | X3 = 'const/sets/UNION'(X0, X2, X1)),
1.59/1.77	    inference('sup-', [status(thm)], ['8', '9'])).
1.59/1.77	tff('11', plain,
1.59/1.77	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
1.59/1.77	      (X3 = 'const/sets/UNION'(X0, X2, X1)
1.59/1.77	       | ~ 'const/sets/IN'(X0, 
1.59/1.77	             sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), X3)
1.59/1.77	       | ~ 'const/sets/IN'(X0, 
1.59/1.77	             sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), X1)),
1.59/1.77	    inference('simplify', [status(thm)], ['10'])).
1.59/1.77	tff('12', plain,
1.59/1.77	    ![X0 : $tType, X1 : X0 > $o]:
1.59/1.77	      (~ $true
1.59/1.77	       | X1 = 'const/sets/UNION'(X0, X1, X1)
1.59/1.77	       | ~ 'const/sets/IN'(X0, 
1.59/1.77	             sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X1), X1)
1.59/1.77	       | X1 = 'const/sets/UNION'(X0, X1, X1)),
1.59/1.77	    inference('sup-', [status(thm)], ['7', '11'])).
1.59/1.77	tff('13', plain,
1.59/1.77	    ![X0 : $tType, X1 : X0 > $o]:
1.59/1.77	      (~ 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X1), 
1.59/1.77	           X1)
1.59/1.77	       | X1 = 'const/sets/UNION'(X0, X1, X1)),
1.59/1.77	    inference('simplify', [status(thm)], ['12'])).
1.59/1.77	tff('14', plain,
1.59/1.77	    ![X0 : $tType, X1 : X0 > $o]: X1 = 'const/sets/UNION'(X0, X1, X1),
1.59/1.77	    inference('clc', [status(thm)], ['13', '7'])).
1.59/1.77	tff('15', plain,
1.59/1.77	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
1.59/1.77	      X1(X2) = 'const/sets/UNION'(X0, X1, X1, X2),
1.59/1.77	    inference('ho_complete_eq', [status(thm)], ['14'])).
1.59/1.77	tff('16', plain,
1.59/1.77	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0 > $o]:
1.59/1.77	      (X3 != X1 | X1(X2) = 'const/sets/UNION'(X0, X3, X3, X2)),
1.59/1.77	    inference('ho.purify_applied_variable', [status(thm)], ['15'])).
1.59/1.77	tff('thm/sets/UNION_IDEMPOT_', conjecture,
1.59/1.77	  (![A:$tType,A0:(A > $o)]: ('const/sets/UNION'(A,A0,A0) = A0))).
1.59/1.77	tff(zf_stmt_0, negated_conjecture,
1.59/1.77	  (~(![A:$tType,A0:(A > $o)]: ('const/sets/UNION'(A,A0,A0) = A0)))).
1.59/1.77	tff('17', plain, 'const/sets/UNION'(sk_A, sk_A0, sk_A0) != sk_A0,
1.59/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.59/1.77	tff('18', plain,
1.59/1.77	    'const/sets/UNION'(sk_A, sk_A0, sk_A0, '#k1') != sk_A0('#k1'),
1.59/1.77	    inference('rw_lit', [status(thm)], ['17'])).
1.59/1.77	tff('19', plain,
1.59/1.77	    ![X0 : sk_A > $o]:
1.59/1.77	      ('const/sets/UNION'(sk_A, X0, X0, '#k1') != sk_A0('#k1')
1.59/1.77	       | X0 != 'const/sets/UNION'(sk_A, sk_A0, sk_A0)),
1.59/1.77	    inference('sup-', [status(thm)], ['16', '18'])).
1.59/1.77	tff('20', plain,
1.59/1.77	    ![X0 : sk_A > $o]:
1.59/1.77	      ('const/sets/UNION'(sk_A, X0, X0, '#k1') != sk_A0('#k1') | X0 != sk_A0),
1.59/1.77	    inference('demod', [status(thm)], ['19', '14'])).
1.59/1.77	tff('21', plain, ![X0 : sk_A > $o]: X0 != sk_A0,
1.59/1.77	    inference('clc', [status(thm)], ['20', '16'])).
1.59/1.77	tff('22', plain, $false, inference('eq_res', [status(thm)], ['21'])).
1.59/1.77	
1.59/1.77	% SZS output end Refutation
1.59/1.78	EOF
