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    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n159.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:34:09 CST 2018
52.44/52.70	% done 12241 iterations in 52.502s
52.44/52.70	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
52.44/52.70	% SZS output start Refutation
52.53/52.71	tff('thm/sets/IN_INTERS_', axiom,
52.53/52.71	  (![A:$tType,A0:(A > $o > $o),A1:A]:
52.53/52.71	     ('const/sets/IN'(A,A1,'const/sets/INTERS'(A,A0)) <=>
52.53/52.71	      (![A2:(A > $o)]:
52.53/52.71	         ('const/sets/IN'(A > $o,A2,A0) => 'const/sets/IN'(A,A1,A2)))))).
52.53/52.71	tff('0', plain,
52.53/52.71	    ![X6 : $tType, X8 : X6 > $o > $o, X10 : X6]:
52.53/52.71	      ('const/sets/IN'(X6, X10, 'const/sets/INTERS'(X6, X8))
52.53/52.71	       | 'const/sets/IN'((> $o, X6), sk_A2(X6, X10, X8), X8)),
52.53/52.71	    inference('cnf', [status(esa)], [thm/sets/IN_INTERS_])).
52.53/52.71	tff('thm/sets/SUBSET_INTERS_', conjecture,
52.53/52.71	  (![A:$tType,A0:(A > $o),A1:(A > $o > $o)]:
52.53/52.71	     ('const/sets/SUBSET'(A,A0,'const/sets/INTERS'(A,A1)) <=>
52.53/52.71	      (![A2:(A > $o)]:
52.53/52.71	         ('const/sets/IN'(A > $o,A2,A1) => 'const/sets/SUBSET'(A,A0,A2)))))).
52.53/52.71	tff(zf_stmt_0, negated_conjecture,
52.53/52.71	  (~
52.53/52.71	    (![A:$tType,A0:(A > $o),A1:(A > $o > $o)]:
52.53/52.71	       ('const/sets/SUBSET'(A,A0,'const/sets/INTERS'(A,A1)) <=>
52.53/52.71	        (![A2:(A > $o)]:
52.53/52.71	           ('const/sets/IN'(A > $o,A2,A1) => 'const/sets/SUBSET'(A,A0,A2))))))).
52.53/52.71	tff('1', plain,
52.53/52.71	    ![X16 : sk_A > $o]:
52.53/52.71	      (~ 'const/sets/IN'((> $o, sk_A), X16, sk_A1)
52.53/52.71	       | 'const/sets/SUBSET'(sk_A, sk_A0, X16)
52.53/52.71	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
52.53/52.71	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.53/52.71	tff('2', plain,
52.53/52.71	    ![X0 : sk_A]:
52.53/52.71	      (~ $true
52.53/52.71	       | 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A2(sk_A, X0, sk_A1))),
52.53/52.71	    inference('sup-', [status(thm)], ['0', '1'])).
52.53/52.71	tff('3', plain,
52.53/52.71	    ![X0 : sk_A]:
52.53/52.71	      ('const/sets/SUBSET'(sk_A, sk_A0, sk_A2(sk_A, X0, sk_A1))
52.53/52.71	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))),
52.53/52.71	    inference('simplify', [status(thm)], ['2'])).
52.53/52.71	tff('thm/sets/SUBSET_', axiom,
52.53/52.71	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
52.53/52.71	     ('const/sets/SUBSET'(A,A0,A1) <=>
52.53/52.71	      (![A2:A]: ('const/sets/IN'(A,A2,A0) => 'const/sets/IN'(A,A2,A1)))))).
52.53/52.71	tff('4', plain,
52.53/52.71	    ![X11 : $tType, X13 : X11 > $o, X15 : X11 > $o]:
52.53/52.71	      ('const/sets/SUBSET'(X11, X13, X15)
52.53/52.71	       | 'const/sets/IN'(X11, sk_A21(X11, X15, X13), X13)),
52.53/52.71	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
52.53/52.71	tff('5', plain,
52.53/52.71	    ![X11 : $tType, X12 : X11, X13 : X11 > $o, X14 : X11 > $o]:
52.53/52.71	      (~ 'const/sets/IN'(X11, X12, X13)
52.53/52.71	       | 'const/sets/IN'(X11, X12, X14)
52.53/52.71	       | ~ 'const/sets/SUBSET'(X11, X13, X14)),
52.53/52.71	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
52.53/52.71	tff('6', plain,
52.53/52.71	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
52.53/52.71	      (~ $true
52.53/52.71	       | 'const/sets/SUBSET'(X0, X1, X2)
52.53/52.71	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
52.53/52.71	       | 'const/sets/IN'(X0, sk_A21(X0, X2, X1), X3)),
52.53/52.71	    inference('sup-', [status(thm)], ['4', '5'])).
52.53/52.71	tff('7', plain,
52.53/52.71	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
52.53/52.71	      ('const/sets/IN'(X0, sk_A21(X0, X2, X1), X3)
52.53/52.71	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
52.53/52.71	       | 'const/sets/SUBSET'(X0, X1, X2)),
52.53/52.71	    inference('simplify', [status(thm)], ['6'])).
52.53/52.71	tff('8', plain,
52.53/52.71	    ![X0 : sk_A, X1 : sk_A > $o]:
52.53/52.71	      (~ $true
52.53/52.71	       | 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | 'const/sets/SUBSET'(sk_A, sk_A0, X1)
52.53/52.71	       | 'const/sets/IN'(sk_A, sk_A21(sk_A, X1, sk_A0), 
52.53/52.71	           sk_A2(sk_A, X0, sk_A1))),
52.53/52.71	    inference('sup-', [status(thm)], ['3', '7'])).
52.53/52.71	tff('9', plain,
52.53/52.71	    ![X0 : sk_A, X1 : sk_A > $o]:
52.53/52.71	      ('const/sets/IN'(sk_A, sk_A21(sk_A, X1, sk_A0), sk_A2(sk_A, X0, sk_A1))
52.53/52.71	       | 'const/sets/SUBSET'(sk_A, sk_A0, X1)
52.53/52.71	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))),
52.53/52.71	    inference('simplify', [status(thm)], ['8'])).
52.53/52.71	tff('10', plain,
52.53/52.71	    ![X6 : $tType, X8 : X6 > $o > $o, X10 : X6]:
52.53/52.71	      ('const/sets/IN'(X6, X10, 'const/sets/INTERS'(X6, X8))
52.53/52.71	       | ~ 'const/sets/IN'(X6, X10, sk_A2(X6, X10, X8))),
52.53/52.71	    inference('cnf', [status(esa)], [thm/sets/IN_INTERS_])).
52.53/52.71	tff('11', plain,
52.53/52.71	    ![X0 : sk_A > $o]:
52.53/52.71	      (~ $true
52.53/52.71	       | 'const/sets/IN'(sk_A, sk_A21(sk_A, X0, sk_A0), 
52.53/52.71	           'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | 'const/sets/SUBSET'(sk_A, sk_A0, X0)
52.53/52.71	       | 'const/sets/IN'(sk_A, sk_A21(sk_A, X0, sk_A0), 
52.53/52.71	           'const/sets/INTERS'(sk_A, sk_A1))),
52.53/52.71	    inference('sup-', [status(thm)], ['9', '10'])).
52.53/52.71	tff('12', plain,
52.53/52.71	    ![X0 : sk_A > $o]:
52.53/52.71	      ('const/sets/SUBSET'(sk_A, sk_A0, X0)
52.53/52.71	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | 'const/sets/IN'(sk_A, sk_A21(sk_A, X0, sk_A0), 
52.53/52.71	           'const/sets/INTERS'(sk_A, sk_A1))),
52.53/52.71	    inference('simplify', [status(thm)], ['11'])).
52.53/52.71	tff('13', plain,
52.53/52.71	    ![X0 : sk_A > $o]:
52.53/52.71	      ('const/sets/IN'(sk_A, sk_A21(sk_A, X0, sk_A0), 
52.53/52.71	         'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | 'const/sets/SUBSET'(sk_A, sk_A0, X0)),
52.53/52.71	    inference('clc', [status(thm)], ['12', '7'])).
52.53/52.71	tff('14', plain,
52.53/52.71	    ('const/sets/IN'((> $o, sk_A), sk_A22, sk_A1)
52.53/52.71	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
52.53/52.71	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.53/52.71	tff('15', plain,
52.53/52.71	    ![X6 : $tType, X7 : X6 > $o, X8 : X6 > $o > $o, X9 : X6]:
52.53/52.71	      (~ 'const/sets/IN'((> $o, X6), X7, X8)
52.53/52.71	       | 'const/sets/IN'(X6, X9, X7)
52.53/52.71	       | ~ 'const/sets/IN'(X6, X9, 'const/sets/INTERS'(X6, X8))),
52.53/52.71	    inference('cnf', [status(esa)], [thm/sets/IN_INTERS_])).
52.53/52.71	tff('16', plain,
52.53/52.71	    ![X0 : sk_A]:
52.53/52.71	      (~ $true
52.53/52.71	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | ~ 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | 'const/sets/IN'(sk_A, X0, sk_A22)),
52.53/52.71	    inference('sup-', [status(thm)], ['14', '15'])).
52.53/52.71	tff('17', plain,
52.53/52.71	    ![X0 : sk_A]:
52.53/52.71	      ('const/sets/IN'(sk_A, X0, sk_A22)
52.53/52.71	       | ~ 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
52.53/52.71	    inference('simplify', [status(thm)], ['16'])).
52.53/52.71	tff('18', plain,
52.53/52.71	    ![X11 : $tType, X13 : X11 > $o, X15 : X11 > $o]:
52.53/52.71	      ('const/sets/SUBSET'(X11, X13, X15)
52.53/52.71	       | ~ 'const/sets/IN'(X11, sk_A21(X11, X15, X13), X15)),
52.53/52.71	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
52.53/52.71	tff('19', plain,
52.53/52.71	    ![X0 : sk_A > $o]:
52.53/52.71	      (~ $true
52.53/52.71	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), 
52.53/52.71	             'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | 'const/sets/SUBSET'(sk_A, X0, sk_A22)),
52.53/52.71	    inference('sup-', [status(thm)], ['17', '18'])).
52.53/52.71	tff('20', plain,
52.53/52.71	    ![X0 : sk_A > $o]:
52.53/52.71	      ('const/sets/SUBSET'(sk_A, X0, sk_A22)
52.53/52.71	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), 
52.53/52.71	             'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
52.53/52.71	    inference('simplify', [status(thm)], ['19'])).
52.53/52.71	tff('21', plain,
52.53/52.71	    (~ $true
52.53/52.71	     | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)
52.53/52.71	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	     | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)),
52.53/52.71	    inference('sup-', [status(thm)], ['13', '20'])).
52.53/52.71	tff('22', plain,
52.53/52.71	    (~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	     | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)),
52.53/52.71	    inference('simplify', [status(thm)], ['21'])).
52.53/52.71	tff('23', plain,
52.53/52.71	    (~ $true
52.53/52.71	     | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
52.53/52.71	     | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
52.53/52.71	    inference('sup-', [status(thm)], ['13', '18'])).
52.53/52.71	tff('24', plain,
52.53/52.71	    'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1)),
52.53/52.71	    inference('simplify', [status(thm)], ['23'])).
52.53/52.71	tff('25', plain, (~ $true | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)),
52.53/52.71	    inference('demod', [status(thm)], ['22', '24'])).
52.53/52.71	tff('26', plain, 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22),
52.53/52.71	    inference('simplify', [status(thm)], ['25'])).
52.53/52.71	tff('27', plain,
52.53/52.71	    (~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)
52.53/52.71	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
52.53/52.71	    inference('cnf', [status(esa)], [zf_stmt_0])).
52.53/52.71	tff('28', plain,
52.53/52.71	    (~ $true
52.53/52.71	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
52.53/52.71	    inference('sup-', [status(thm)], ['26', '27'])).
52.53/52.71	tff('29', plain, (~ $true | ~ $true),
52.53/52.71	    inference('demod', [status(thm)], ['28', '24'])).
52.53/52.71	tff('30', plain, $false, inference('simplify', [status(thm)], ['29'])).
52.53/52.71	
52.53/52.71	% SZS output end Refutation
52.53/52.71	EOF
