0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_int
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n066.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:27:09 CST 2018
2.49/2.73	% done 933 iterations in 2.539s
2.49/2.73	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
2.49/2.73	% SZS output start Refutation
2.49/2.73	tff('thm/sets/EXTENSION_', axiom,
2.49/2.73	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
2.49/2.73	     ((A0 = A1) <=>
2.49/2.73	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
2.49/2.73	tff('0', plain,
2.49/2.73	    ![X4 : $tType, X7 : X4 > $o, X9 : X4 > $o]:
2.49/2.73	      (X7 = X9
2.49/2.73	       | 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X9)
2.49/2.73	       | 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X7)),
2.49/2.73	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
2.49/2.73	tff('thm/sets/SUBSET_ANTISYM_EQ_', conjecture,
2.49/2.73	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
2.49/2.73	     (('const/sets/SUBSET'(A,A1,A0) & 'const/sets/SUBSET'(A,A0,A1)) <=>
2.49/2.73	      (A0 = A1)))).
2.49/2.73	tff(zf_stmt_0, negated_conjecture,
2.49/2.73	  (~
2.49/2.73	    (![A:$tType,A0:(A > $o),A1:(A > $o)]:
2.49/2.73	       (('const/sets/SUBSET'(A,A1,A0) & 'const/sets/SUBSET'(A,A0,A1)) <=>
2.49/2.73	        (A0 = A1))))).
2.49/2.73	tff('1', plain, (sk_A0 = sk_A1 | 'const/sets/SUBSET'(sk_A, sk_A1, sk_A0)),
2.49/2.73	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.49/2.73	tff('thm/sets/SUBSET_', axiom,
2.49/2.73	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
2.49/2.73	     ('const/sets/SUBSET'(A,A0,A1) <=>
2.49/2.73	      (![A2:A]: ('const/sets/IN'(A,A2,A0) => 'const/sets/IN'(A,A2,A1)))))).
2.49/2.73	tff('2', plain,
2.49/2.73	    ![X10 : $tType, X11 : X10, X12 : X10 > $o, X13 : X10 > $o]:
2.49/2.73	      (~ 'const/sets/IN'(X10, X11, X12)
2.49/2.73	       | 'const/sets/IN'(X10, X11, X13)
2.49/2.73	       | ~ 'const/sets/SUBSET'(X10, X12, X13)),
2.49/2.73	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
2.49/2.73	tff('3', plain,
2.49/2.73	    ![X0 : sk_A]:
2.49/2.73	      (~ $true
2.49/2.73	       | sk_A0 = sk_A1
2.49/2.73	       | 'const/sets/IN'(sk_A, X0, sk_A0)
2.49/2.73	       | ~ 'const/sets/IN'(sk_A, X0, sk_A1)),
2.49/2.73	    inference('sup-', [status(thm)], ['1', '2'])).
2.49/2.73	tff('4', plain,
2.49/2.73	    ![X0 : sk_A]:
2.49/2.73	      (~ 'const/sets/IN'(sk_A, X0, sk_A1)
2.49/2.73	       | 'const/sets/IN'(sk_A, X0, sk_A0)
2.49/2.73	       | sk_A0 = sk_A1),
2.49/2.73	    inference('simplify', [status(thm)], ['3'])).
2.49/2.73	tff('5', plain,
2.49/2.73	    ![X0 : sk_A > $o]:
2.49/2.73	      (~ $true
2.49/2.73	       | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)
2.49/2.73	       | X0 = sk_A1
2.49/2.73	       | sk_A0 = sk_A1
2.49/2.73	       | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), sk_A0)),
2.49/2.73	    inference('sup-', [status(thm)], ['0', '4'])).
2.49/2.73	tff('6', plain,
2.49/2.73	    ![X0 : sk_A > $o]:
2.49/2.73	      ('const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), sk_A0)
2.49/2.73	       | sk_A0 = sk_A1
2.49/2.73	       | X0 = sk_A1
2.49/2.73	       | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)),
2.49/2.73	    inference('simplify', [status(thm)], ['5'])).
2.49/2.73	tff('7', plain,
2.49/2.73	    ![X10 : $tType, X12 : X10 > $o, X14 : X10 > $o]:
2.49/2.73	      ('const/sets/SUBSET'(X10, X12, X14)
2.49/2.73	       | 'const/sets/IN'(X10, sk_A21(X10, X14, X12), X12)),
2.49/2.73	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
2.49/2.73	tff('thm/sets/IN_', axiom,
2.49/2.73	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
2.49/2.73	tff('8', plain,
2.49/2.73	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
2.49/2.73	      (X1(X2) | ~ 'const/sets/IN'(X0, X2, X1)),
2.49/2.73	    inference('cnf', [status(esa)], [thm/sets/IN_])).
2.49/2.73	tff('9', plain,
2.49/2.73	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0 > $o]:
2.49/2.73	      (X3 != X1 | X1(X2) | ~ 'const/sets/IN'(X0, X2, X3)),
2.49/2.73	    inference('ho.purify_applied_variable', [status(thm)], ['8'])).
2.49/2.73	tff('10', plain,
2.49/2.73	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
2.49/2.73	      (~ $true
2.49/2.73	       | 'const/sets/SUBSET'(X0, X1, X2)
2.49/2.73	       | X3(sk_A21(X0, X2, X1))
2.49/2.73	       | X1 != X3),
2.49/2.73	    inference('sup-', [status(thm)], ['7', '9'])).
2.49/2.73	tff('11', plain,
2.49/2.73	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
2.49/2.73	      (X1 != X3 | X3(sk_A21(X0, X2, X1)) | 'const/sets/SUBSET'(X0, X1, X2)),
2.49/2.73	    inference('simplify', [status(thm)], ['10'])).
2.49/2.73	tff('12', plain,
2.49/2.73	    ![X0 : $tType, X1 : X0 > $o, X3 : X0]:
2.49/2.73	      ('const/sets/IN'(X0, X3, X1) | ~ X1(X3)),
2.49/2.73	    inference('cnf', [status(esa)], [thm/sets/IN_])).
2.49/2.73	tff('13', plain,
2.49/2.73	    ![X0 : $tType, X1 : X0 > $o, X3 : X0, X4 : X0 > $o]:
2.49/2.73	      (X4 != X1 | 'const/sets/IN'(X0, X3, X1) | ~ X4(X3)),
2.49/2.73	    inference('ho.purify_applied_variable', [status(thm)], ['12'])).
2.49/2.73	tff('14', plain,
2.49/2.73	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o, X4 : X0 > $o]:
2.49/2.73	      (~ $true
2.49/2.73	       | 'const/sets/SUBSET'(X0, X2, X3)
2.49/2.73	       | X2 != X1
2.49/2.73	       | 'const/sets/IN'(X0, sk_A21(X0, X3, X2), X4)
2.49/2.73	       | X1 != X4),
2.49/2.73	    inference('sup-', [status(thm)], ['11', '13'])).
2.49/2.73	tff('15', plain,
2.49/2.73	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o, X4 : X0 > $o]:
2.49/2.73	      (X1 != X4
2.49/2.73	       | 'const/sets/IN'(X0, sk_A21(X0, X3, X2), X4)
2.49/2.73	       | X2 != X1
2.49/2.73	       | 'const/sets/SUBSET'(X0, X2, X3)),
2.49/2.73	    inference('simplify', [status(thm)], ['14'])).
2.49/2.73	tff('16', plain,
2.49/2.73	    ![X10 : $tType, X12 : X10 > $o, X14 : X10 > $o]:
2.49/2.73	      ('const/sets/SUBSET'(X10, X12, X14)
2.49/2.73	       | ~ 'const/sets/IN'(X10, sk_A21(X10, X14, X12), X14)),
2.49/2.73	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
2.49/2.73	tff('17', plain,
2.49/2.73	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
2.49/2.73	      (~ $true
2.49/2.73	       | 'const/sets/SUBSET'(X0, X2, X1)
2.49/2.73	       | X2 != X3
2.49/2.73	       | X3 != X1
2.49/2.73	       | 'const/sets/SUBSET'(X0, X2, X1)),
2.49/2.73	    inference('sup-', [status(thm)], ['15', '16'])).
2.49/2.73	tff('18', plain,
2.49/2.73	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
2.49/2.73	      (X3 != X1 | X2 != X3 | 'const/sets/SUBSET'(X0, X2, X1)),
2.49/2.73	    inference('simplify', [status(thm)], ['17'])).
2.49/2.73	tff('19', plain,
2.49/2.73	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
2.49/2.73	      ('const/sets/SUBSET'(X0, X2, X1) | X2 != X1),
2.56/2.73	    inference('eq_res', [status(thm)], ['18'])).
2.56/2.73	tff('20', plain,
2.56/2.73	    (sk_A0 != sk_A1
2.56/2.73	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)
2.56/2.73	     | ~ 'const/sets/SUBSET'(sk_A, sk_A1, sk_A0)),
2.56/2.73	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.56/2.73	tff('21', plain,
2.56/2.73	    (~ $true
2.56/2.73	     | sk_A1 != sk_A0
2.56/2.73	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)
2.56/2.73	     | sk_A0 != sk_A1),
2.56/2.73	    inference('sup-', [status(thm)], ['19', '20'])).
2.56/2.73	tff('22', plain,
2.56/2.73	    (~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1) | sk_A1 != sk_A0),
2.56/2.73	    inference('simplify', [status(thm)], ['21'])).
2.56/2.73	tff('23', plain, sk_A1 != sk_A0,
2.56/2.73	    inference('clc', [status(thm)], ['22', '19'])).
2.56/2.73	tff('24', plain,
2.56/2.73	    ![X0 : sk_A > $o]:
2.56/2.73	      ('const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), sk_A0)
2.56/2.73	       | X0 = sk_A1
2.56/2.73	       | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)),
2.56/2.73	    inference('simplify_reflect-', [status(thm)], ['6', '23'])).
2.56/2.73	tff('25', plain,
2.56/2.73	    (~ $true
2.56/2.73	     | sk_A0 = sk_A1
2.56/2.73	     | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, sk_A0), sk_A0)),
2.56/2.73	    inference('eq_fact', [status(thm)], ['24'])).
2.56/2.73	tff('26', plain,
2.56/2.73	    ('const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, sk_A0), sk_A0) | sk_A0 = sk_A1),
2.56/2.73	    inference('simplify', [status(thm)], ['25'])).
2.56/2.73	tff('27', plain, 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, sk_A0), sk_A0),
2.56/2.73	    inference('simplify_reflect-', [status(thm)], ['26', '23'])).
2.56/2.73	tff('28', plain, (sk_A0 = sk_A1 | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)),
2.56/2.73	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.56/2.73	tff('29', plain,
2.56/2.73	    ![X0 : sk_A]:
2.56/2.73	      (~ $true
2.56/2.73	       | sk_A0 = sk_A1
2.56/2.73	       | 'const/sets/IN'(sk_A, X0, sk_A1)
2.56/2.73	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
2.56/2.73	    inference('sup-', [status(thm)], ['28', '2'])).
2.56/2.73	tff('30', plain,
2.56/2.73	    ![X0 : sk_A]:
2.56/2.73	      (~ 'const/sets/IN'(sk_A, X0, sk_A0)
2.56/2.73	       | 'const/sets/IN'(sk_A, X0, sk_A1)
2.56/2.73	       | sk_A0 = sk_A1),
2.56/2.73	    inference('simplify', [status(thm)], ['29'])).
2.56/2.73	tff('31', plain,
2.56/2.73	    ![X4 : $tType, X7 : X4 > $o, X9 : X4 > $o]:
2.56/2.73	      (X7 = X9
2.56/2.73	       | ~ 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X9)
2.56/2.73	       | ~ 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X7)),
2.56/2.73	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
2.56/2.73	tff('32', plain,
2.56/2.73	    ![X0 : sk_A > $o]:
2.56/2.73	      (~ $true
2.56/2.73	       | sk_A0 = sk_A1
2.56/2.73	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), sk_A0)
2.56/2.73	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)
2.56/2.73	       | X0 = sk_A1),
2.56/2.73	    inference('sup-', [status(thm)], ['30', '31'])).
2.56/2.73	tff('33', plain,
2.56/2.73	    ![X0 : sk_A > $o]:
2.56/2.73	      (X0 = sk_A1
2.56/2.73	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)
2.56/2.73	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), sk_A0)
2.56/2.73	       | sk_A0 = sk_A1),
2.56/2.73	    inference('simplify', [status(thm)], ['32'])).
2.56/2.73	tff('34', plain,
2.56/2.73	    ![X0 : sk_A > $o]:
2.56/2.73	      (X0 = sk_A1
2.56/2.73	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)
2.56/2.73	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), sk_A0)),
2.56/2.73	    inference('simplify_reflect-', [status(thm)], ['33', '23'])).
2.56/2.73	tff('35', plain,
2.56/2.73	    (~ $true
2.56/2.73	     | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, sk_A0), sk_A0)
2.56/2.73	     | sk_A0 = sk_A1),
2.56/2.73	    inference('sup-', [status(thm)], ['27', '34'])).
2.56/2.73	tff('36', plain, (~ $true | ~ $true | sk_A0 = sk_A1),
2.56/2.73	    inference('demod', [status(thm)], ['35', '27'])).
2.56/2.73	tff('37', plain, sk_A0 = sk_A1, inference('simplify', [status(thm)], ['36'])).
2.56/2.73	tff('38', plain, $false,
2.56/2.73	    inference('simplify_reflect-', [status(thm)], ['37', '23'])).
2.56/2.73	
2.56/2.73	% SZS output end Refutation
2.56/2.74	EOF
