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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n036.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:27:09 CST 2018
1.37/1.62	% done 397 iterations in 1.419s
1.37/1.62	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
1.37/1.62	% SZS output start Refutation
1.37/1.62	tff('thm/sets/SUBSET_', axiom,
1.37/1.62	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
1.37/1.62	     ('const/sets/SUBSET'(A,A0,A1) <=>
1.37/1.62	      (![A2:A]: ('const/sets/IN'(A,A2,A0) => 'const/sets/IN'(A,A2,A1)))))).
1.37/1.62	tff('0', plain,
1.37/1.62	    ![X10 : $tType, X12 : X10 > $o, X14 : X10 > $o]:
1.37/1.62	      ('const/sets/SUBSET'(X10, X12, X14)
1.37/1.62	       | 'const/sets/IN'(X10, sk_A21(X10, X14, X12), X12)),
1.37/1.62	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
1.37/1.62	tff('1', plain,
1.37/1.62	    ![X10 : $tType, X12 : X10 > $o, X14 : X10 > $o]:
1.37/1.62	      ('const/sets/SUBSET'(X10, X12, X14)
1.37/1.62	       | ~ 'const/sets/IN'(X10, sk_A21(X10, X14, X12), X14)),
1.37/1.62	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
1.37/1.62	tff('2', plain,
1.37/1.62	    ![X0 : $tType, X1 : X0 > $o]:
1.37/1.62	      (~ $true
1.37/1.62	       | 'const/sets/SUBSET'(X0, X1, X1)
1.37/1.62	       | 'const/sets/SUBSET'(X0, X1, X1)),
1.37/1.62	    inference('sup-', [status(thm)], ['0', '1'])).
1.37/1.62	tff('3', plain,
1.37/1.62	    ![X0 : $tType, X1 : X0 > $o]: 'const/sets/SUBSET'(X0, X1, X1),
1.37/1.62	    inference('simplify', [status(thm)], ['2'])).
1.37/1.62	tff('thm/sets/IN_', axiom,
1.37/1.62	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
1.37/1.62	tff('4', plain,
1.37/1.62	    ![X0 : $tType, X1 : X0 > $o, X3 : X0]:
1.37/1.62	      ('const/sets/IN'(X0, X3, X1) | ~ X1(X3)),
1.37/1.62	    inference('cnf', [status(esa)], [thm/sets/IN_])).
1.37/1.62	tff('5', plain,
1.37/1.62	    ![X0 : $tType, X1 : X0 > $o, X3 : X0, X4 : X0 > $o]:
1.37/1.62	      (X4 != X1 | 'const/sets/IN'(X0, X3, X1) | ~ X4(X3)),
1.37/1.62	    inference('ho.purify_applied_variable', [status(thm)], ['4'])).
1.37/1.62	tff('6', plain,
1.37/1.62	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o > $o]:
1.37/1.62	      (~ $true
1.37/1.62	       | 'const/sets/IN'((> $o, X0), X1, X2)
1.37/1.62	       | 'const/sets/SUBSET'(X0, X1) != X2),
1.37/1.62	    inference('sup-', [status(thm)], ['3', '5'])).
1.37/1.62	tff('7', plain,
1.37/1.62	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o > $o]:
1.37/1.62	      ('const/sets/SUBSET'(X0, X1) != X2
1.37/1.62	       | 'const/sets/IN'((> $o, X0), X1, X2)),
1.37/1.62	    inference('simplify', [status(thm)], ['6'])).
1.37/1.62	tff('8', plain,
1.37/1.62	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
1.37/1.62	      (X1(X2) | ~ 'const/sets/IN'(X0, X2, X1)),
1.37/1.62	    inference('cnf', [status(esa)], [thm/sets/IN_])).
1.37/1.62	tff('9', plain,
1.37/1.62	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0 > $o]:
1.37/1.62	      (X3 != X1 | X1(X2) | ~ 'const/sets/IN'(X0, X2, X3)),
1.37/1.62	    inference('ho.purify_applied_variable', [status(thm)], ['8'])).
1.37/1.62	tff('10', plain,
1.37/1.62	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0 > $o, X3 : X0 > $o > $o]:
1.37/1.62	      (~ $true | 'const/sets/SUBSET'(X0, X2) != X1 | X3(X2) | X1 != X3),
1.37/1.62	    inference('sup-', [status(thm)], ['7', '9'])).
1.37/1.62	tff('11', plain,
1.37/1.62	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0 > $o, X3 : X0 > $o > $o]:
1.37/1.62	      (X1 != X3 | X3(X2) | 'const/sets/SUBSET'(X0, X2) != X1),
1.37/1.62	    inference('simplify', [status(thm)], ['10'])).
1.37/1.62	tff('thm/sets/SUBSET_ANTISYM_EQ_', conjecture,
1.37/1.62	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
1.37/1.62	     (('const/sets/SUBSET'(A,A1,A0) & 'const/sets/SUBSET'(A,A0,A1)) <=>
1.37/1.62	      (A0 = A1)))).
1.37/1.62	tff(zf_stmt_0, negated_conjecture,
1.37/1.62	  (~
1.37/1.62	    (![A:$tType,A0:(A > $o),A1:(A > $o)]:
1.37/1.62	       (('const/sets/SUBSET'(A,A1,A0) & 'const/sets/SUBSET'(A,A0,A1)) <=>
1.37/1.62	        (A0 = A1))))).
1.37/1.62	tff('12', plain,
1.37/1.62	    (sk_A0 != sk_A1
1.37/1.62	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)
1.37/1.62	     | ~ 'const/sets/SUBSET'(sk_A, sk_A1, sk_A0)),
1.37/1.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.37/1.62	tff('13', plain,
1.37/1.62	    (sk_A0('#k1') != sk_A1('#k1')
1.37/1.62	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)
1.37/1.62	     | ~ 'const/sets/SUBSET'(sk_A, sk_A1, sk_A0)),
1.37/1.62	    inference('rw_lit', [status(thm)], ['12'])).
1.37/1.62	tff('14', plain,
1.37/1.62	    ![X0 : sk_A > $o > $o]:
1.37/1.62	      (~ $true
1.37/1.62	       | 'const/sets/SUBSET'(sk_A, sk_A0) != X0
1.37/1.62	       | X0 != 'const/sets/SUBSET'(sk_A, sk_A1)
1.37/1.62	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)
1.37/1.62	       | sk_A0('#k1') != sk_A1('#k1')),
1.37/1.62	    inference('sup-', [status(thm)], ['11', '13'])).
1.37/1.62	tff('15', plain,
1.37/1.62	    ![X0 : sk_A > $o > $o]:
1.37/1.62	      (sk_A0('#k1') != sk_A1('#k1')
1.37/1.62	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)
1.37/1.62	       | X0 != 'const/sets/SUBSET'(sk_A, sk_A1)
1.37/1.62	       | 'const/sets/SUBSET'(sk_A, sk_A0) != X0),
1.37/1.62	    inference('simplify', [status(thm)], ['14'])).
1.37/1.62	tff('16', plain,
1.37/1.62	    ![X0 : sk_A > $o > $o]:
1.37/1.62	      ('const/sets/SUBSET'(sk_A, sk_A0) != X0
1.37/1.62	       | X0 != 'const/sets/SUBSET'(sk_A, sk_A1)
1.37/1.62	       | sk_A0('#k1') != sk_A1('#k1')),
1.37/1.62	    inference('clc', [status(thm)], ['15', '11'])).
1.37/1.62	tff('17', plain,
1.37/1.62	    (sk_A0('#k1') != sk_A1('#k1')
1.37/1.62	     | 'const/sets/SUBSET'(sk_A, sk_A0) != 'const/sets/SUBSET'(sk_A, sk_A1)),
1.37/1.62	    inference('eq_res', [status(thm)], ['16'])).
1.37/1.62	tff('18', plain,
1.37/1.62	    (sk_A0('#k1') != sk_A1('#k1')
1.37/1.62	     | 'const/sets/SUBSET'(sk_A, sk_A0, '#k39')
1.37/1.62	        != 'const/sets/SUBSET'(sk_A, sk_A1, '#k39')),
1.37/1.62	    inference('rw_lit', [status(thm)], ['17'])).
1.37/1.62	tff('19', plain, (sk_A0 = sk_A1 | 'const/sets/SUBSET'(sk_A, sk_A1, sk_A0)),
1.37/1.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.37/1.62	tff('20', plain,
1.37/1.62	    (~ $true
1.37/1.62	     | sk_A0 = sk_A1
1.37/1.62	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)
1.37/1.62	     | sk_A0('#k1') != sk_A1('#k1')),
1.37/1.62	    inference('sup-', [status(thm)], ['19', '13'])).
1.37/1.62	tff('21', plain,
1.37/1.62	    (sk_A0('#k1') != sk_A1('#k1')
1.37/1.62	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)
1.37/1.62	     | sk_A0 = sk_A1),
1.37/1.62	    inference('simplify', [status(thm)], ['20'])).
1.37/1.62	tff('22', plain, (sk_A0 = sk_A1 | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)),
1.37/1.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.37/1.62	tff('23', plain, (sk_A0 = sk_A1 | sk_A0('#k1') != sk_A1('#k1')),
1.37/1.62	    inference('clc', [status(thm)], ['21', '22'])).
1.37/1.62	tff('24', plain, sk_A0('#k1') != sk_A1('#k1'),
1.37/1.62	    inference('clc', [status(thm)], ['18', '23'])).
1.37/1.62	tff('thm/sets/EXTENSION_', axiom,
1.37/1.62	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
1.37/1.62	     ((A0 = A1) <=>
1.37/1.62	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
1.37/1.62	tff('25', plain,
1.37/1.62	    ![X4 : $tType, X7 : X4 > $o, X9 : X4 > $o]:
1.37/1.62	      (X7 = X9
1.37/1.62	       | 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X9)
1.37/1.62	       | 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X7)),
1.37/1.62	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
1.37/1.62	tff('26', plain,
1.37/1.62	    ![X10 : $tType, X11 : X10, X12 : X10 > $o, X13 : X10 > $o]:
1.37/1.62	      (~ 'const/sets/IN'(X10, X11, X12)
1.37/1.62	       | 'const/sets/IN'(X10, X11, X13)
1.37/1.62	       | ~ 'const/sets/SUBSET'(X10, X12, X13)),
1.37/1.62	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
1.37/1.62	tff('27', plain,
1.37/1.62	    ![X0 : sk_A]:
1.37/1.62	      (~ $true
1.37/1.62	       | sk_A0 = sk_A1
1.37/1.62	       | 'const/sets/IN'(sk_A, X0, sk_A0)
1.37/1.62	       | ~ 'const/sets/IN'(sk_A, X0, sk_A1)),
1.37/1.62	    inference('sup-', [status(thm)], ['19', '26'])).
1.37/1.62	tff('28', plain,
1.37/1.62	    ![X0 : sk_A]:
1.37/1.62	      (~ 'const/sets/IN'(sk_A, X0, sk_A1)
1.37/1.62	       | 'const/sets/IN'(sk_A, X0, sk_A0)
1.37/1.62	       | sk_A0 = sk_A1),
1.37/1.62	    inference('simplify', [status(thm)], ['27'])).
1.37/1.62	tff('29', plain,
1.37/1.62	    ![X0 : sk_A > $o]:
1.37/1.62	      (~ $true
1.37/1.62	       | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)
1.37/1.62	       | X0 = sk_A1
1.37/1.62	       | sk_A0 = sk_A1
1.37/1.62	       | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), sk_A0)),
1.37/1.62	    inference('sup-', [status(thm)], ['25', '28'])).
1.37/1.62	tff('30', plain,
1.37/1.62	    ![X0 : sk_A > $o]:
1.37/1.62	      ('const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), sk_A0)
1.37/1.62	       | sk_A0 = sk_A1
1.37/1.62	       | X0 = sk_A1
1.37/1.62	       | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)),
1.37/1.62	    inference('simplify', [status(thm)], ['29'])).
1.37/1.62	tff('31', plain,
1.37/1.62	    (~ $true
1.37/1.62	     | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, sk_A0), sk_A0)
1.37/1.62	     | sk_A0 = sk_A1
1.37/1.62	     | sk_A0 = sk_A1),
1.37/1.62	    inference('eq_fact', [status(thm)], ['30'])).
1.37/1.62	tff('32', plain,
1.37/1.62	    (sk_A0 = sk_A1 | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, sk_A0), sk_A0)),
1.37/1.62	    inference('simplify', [status(thm)], ['31'])).
1.37/1.62	tff('33', plain,
1.37/1.62	    ![X0 : sk_A]:
1.37/1.62	      (~ $true
1.37/1.62	       | sk_A0 = sk_A1
1.37/1.62	       | 'const/sets/IN'(sk_A, X0, sk_A1)
1.37/1.62	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
1.37/1.62	    inference('sup-', [status(thm)], ['22', '26'])).
1.37/1.62	tff('34', plain,
1.37/1.62	    ![X0 : sk_A]:
1.37/1.62	      (~ 'const/sets/IN'(sk_A, X0, sk_A0)
1.37/1.62	       | 'const/sets/IN'(sk_A, X0, sk_A1)
1.37/1.62	       | sk_A0 = sk_A1),
1.37/1.62	    inference('simplify', [status(thm)], ['33'])).
1.37/1.62	tff('35', plain,
1.37/1.62	    ![X4 : $tType, X7 : X4 > $o, X9 : X4 > $o]:
1.37/1.62	      (X7 = X9
1.37/1.62	       | ~ 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X9)
1.37/1.62	       | ~ 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X7)),
1.37/1.62	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
1.37/1.62	tff('36', plain,
1.37/1.62	    ![X0 : sk_A > $o]:
1.37/1.62	      (~ $true
1.37/1.62	       | sk_A0 = sk_A1
1.37/1.62	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), sk_A0)
1.37/1.62	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)
1.37/1.62	       | X0 = sk_A1),
1.37/1.62	    inference('sup-', [status(thm)], ['34', '35'])).
1.37/1.62	tff('37', plain,
1.37/1.62	    ![X0 : sk_A > $o]:
1.37/1.62	      (X0 = sk_A1
1.37/1.62	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)
1.37/1.62	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), sk_A0)
1.37/1.62	       | sk_A0 = sk_A1),
1.37/1.62	    inference('simplify', [status(thm)], ['36'])).
1.37/1.62	tff('38', plain,
1.37/1.62	    (~ $true
1.37/1.62	     | sk_A0 = sk_A1
1.37/1.62	     | sk_A0 = sk_A1
1.37/1.62	     | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, sk_A0), sk_A0)
1.37/1.62	     | sk_A0 = sk_A1),
1.37/1.62	    inference('sup-', [status(thm)], ['32', '37'])).
1.37/1.62	tff('39', plain,
1.37/1.62	    (~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, sk_A0), sk_A0)
1.37/1.62	     | sk_A0 = sk_A1),
1.37/1.62	    inference('simplify', [status(thm)], ['38'])).
1.37/1.62	tff('40', plain, sk_A0 = sk_A1, inference('clc', [status(thm)], ['39', '32'])).
1.37/1.62	tff('41', plain, sk_A0('#k1') != sk_A0('#k1'),
1.37/1.62	    inference('demod', [status(thm)], ['24', '40'])).
1.37/1.62	tff('42', plain, $false, inference('simplify', [status(thm)], ['41'])).
1.37/1.62	
1.37/1.62	% SZS output end Refutation
1.37/1.63	EOF
