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    : 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-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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n079.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:33:09 CST 2018
0.00/0.27	% done 72 iterations in 0.075s
0.00/0.27	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.27	% SZS output start Refutation
0.00/0.27	tff('thm/sets/FORALL_IN_IMAGE_', conjecture,
0.00/0.27	  (![A:$tType,A0:$tType,P:(A > $o),A1:(A0 > A),A2:(A0 > $o)]:
0.00/0.27	     ((![A3:A]:
0.00/0.27	         ('const/sets/IN'(A,A3,'const/sets/IMAGE'(A0,A,A1,A2)) => P(A3))) <=>
0.00/0.27	      (![A3:A0]: ('const/sets/IN'(A0,A3,A2) => P(A1(A3))))))).
0.00/0.27	tff(zf_stmt_0, negated_conjecture,
0.00/0.27	  (~
0.00/0.27	    (![A:$tType,A0:$tType,P:(A > $o),A1:(A0 > A),A2:(A0 > $o)]:
0.00/0.27	       ((![A3:A]:
0.00/0.27	           ('const/sets/IN'(A,A3,'const/sets/IMAGE'(A0,A,A1,A2)) => P(A3))) <=>
0.00/0.27	        (![A3:A0]: ('const/sets/IN'(A0,A3,A2) => P(A1(A3)))))))).
0.00/0.27	tff('0', plain,
0.00/0.27	    ('const/sets/IN'(sk_A0, sk_A31, sk_A2)
0.00/0.27	     | 'const/sets/IN'(sk_A, sk_A32, 
0.00/0.27	         'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('thm/sets/IN_IMAGE_', axiom,
0.00/0.27	  (![B:$tType,A:$tType,A0:B,A1:(A > $o),A2:(A > B)]:
0.00/0.27	     ('const/sets/IN'(B,A0,'const/sets/IMAGE'(A,B,A2,A1)) <=>
0.00/0.27	      (?[A3:A]: ('const/sets/IN'(A,A3,A1) & (A0 = A2(A3))))))).
0.00/0.27	tff('1', plain,
0.00/0.27	    ![X0 : $tType, X1 : $tType, X2 : X0 > X1, X3 : X0 > $o, X4 : X1]:
0.00/0.27	      (X4 = X2(sk_A3(X0, X1, X2, X3, X4))
0.00/0.27	       | ~ 'const/sets/IN'(X1, X4, 'const/sets/IMAGE'(X0, X1, X2, X3))),
0.00/0.27	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
0.00/0.27	tff('2', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)
0.00/0.27	     | sk_A32 = sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32))),
0.00/0.27	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.27	tff('3', plain,
0.00/0.27	    (sk_A32 = sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32))
0.00/0.27	     | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
0.00/0.27	    inference('simplify', [status(thm)], ['2'])).
0.00/0.27	tff('4', plain,
0.00/0.27	    ![X0 : $tType, X1 : $tType, X2 : X0 > X1, X3 : X0 > $o, X4 : X1]:
0.00/0.27	      ('const/sets/IN'(X0, sk_A3(X0, X1, X2, X3, X4), X3)
0.00/0.27	       | ~ 'const/sets/IN'(X1, X4, 'const/sets/IMAGE'(X0, X1, X2, X3))),
0.00/0.27	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
0.00/0.27	tff('5', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)
0.00/0.27	     | 'const/sets/IN'(sk_A0, sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32), 
0.00/0.27	         sk_A2)),
0.00/0.27	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.27	tff('6', plain,
0.00/0.27	    ('const/sets/IN'(sk_A0, sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32), sk_A2)
0.00/0.27	     | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
0.00/0.27	    inference('simplify', [status(thm)], ['5'])).
0.00/0.27	tff('7', plain,
0.00/0.27	    ![X7 : sk_A0, X8 : sk_A]:
0.00/0.27	      (~ 'const/sets/IN'(sk_A0, X7, sk_A2)
0.00/0.27	       | sk_P(sk_A1(X7))
0.00/0.27	       | ~ 'const/sets/IN'(sk_A, X8, 
0.00/0.27	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.27	       | sk_P(X8)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('8', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (~ $true
0.00/0.27	       | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)
0.00/0.27	       | sk_P(X0)
0.00/0.27	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.27	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.27	       | sk_P(sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32)))),
0.00/0.27	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.27	tff('9', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (sk_P(sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32)))
0.00/0.27	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.27	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.27	       | sk_P(X0)
0.00/0.27	       | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
0.00/0.27	    inference('simplify', [status(thm)], ['8'])).
0.00/0.27	tff('10', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)
0.00/0.27	     | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)
0.00/0.27	     | sk_P(sk_A32)
0.00/0.27	     | sk_P(sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32)))),
0.00/0.27	    inference('sup-', [status(thm)], ['0', '9'])).
0.00/0.27	tff('11', plain,
0.00/0.27	    (sk_P(sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32)))
0.00/0.27	     | sk_P(sk_A32)
0.00/0.27	     | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
0.00/0.27	    inference('simplify', [status(thm)], ['10'])).
0.00/0.27	tff('12', plain, ('const/sets/IN'(sk_A0, sk_A31, sk_A2) | ~ sk_P(sk_A32)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('13', plain,
0.00/0.27	    ![X0 : $tType, X1 : $tType, X3 : X0 > $o, X4 : X1, X5 : X0 > X1, X6 : X0]:
0.00/0.27	      ('const/sets/IN'(X1, X4, 'const/sets/IMAGE'(X0, X1, X5, X3))
0.00/0.27	       | X4 != X5(X6)
0.00/0.27	       | ~ 'const/sets/IN'(X0, X6, X3)),
0.00/0.27	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
0.00/0.27	tff('14', plain,
0.00/0.27	    ![X0 : $tType, X1 : $tType, X3 : X0 > $o, X5 : X0 > X1, X6 : X0]:
0.00/0.27	      (~ 'const/sets/IN'(X0, X6, X3)
0.00/0.27	       | 'const/sets/IN'(X1, X5(X6), 'const/sets/IMAGE'(X0, X1, X5, X3))),
0.00/0.27	    inference('simplify', [status(thm)], ['13'])).
0.00/0.27	tff('15', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ sk_P(sk_A32)
0.00/0.27	       | sk_P(X0)
0.00/0.27	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.27	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.27	       | sk_P(sk_A1(sk_A31))),
0.00/0.27	    inference('sup-', [status(thm)], ['12', '7'])).
0.00/0.27	tff('16', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (sk_P(sk_A1(sk_A31))
0.00/0.27	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.27	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.27	       | sk_P(X0)
0.00/0.27	       | ~ sk_P(sk_A32)),
0.00/0.27	    inference('simplify', [status(thm)], ['15'])).
0.00/0.27	tff('17', plain, (~ sk_P(sk_A1(sk_A31)) | ~ sk_P(sk_A32)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('18', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (~ sk_P(sk_A32)
0.00/0.27	       | sk_P(X0)
0.00/0.27	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.27	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))),
0.00/0.27	    inference('clc', [status(thm)], ['16', '17'])).
0.00/0.27	tff('19', plain,
0.00/0.27	    ![X0 : sk_A0]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)
0.00/0.27	       | sk_P(sk_A1(X0))
0.00/0.27	       | ~ sk_P(sk_A32)),
0.00/0.27	    inference('sup-', [status(thm)], ['14', '18'])).
0.00/0.27	tff('20', plain,
0.00/0.27	    ![X0 : sk_A0]:
0.00/0.27	      (~ sk_P(sk_A32) | sk_P(sk_A1(X0)) | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)),
0.00/0.27	    inference('simplify', [status(thm)], ['19'])).
0.00/0.27	tff('21', plain,
0.00/0.27	    (~ $true | ~ sk_P(sk_A32) | sk_P(sk_A1(sk_A31)) | ~ sk_P(sk_A32)),
0.00/0.27	    inference('sup-', [status(thm)], ['12', '20'])).
0.00/0.27	tff('22', plain, (sk_P(sk_A1(sk_A31)) | ~ sk_P(sk_A32)),
0.00/0.27	    inference('simplify', [status(thm)], ['21'])).
0.00/0.27	tff('23', plain, ~ sk_P(sk_A32),
0.00/0.27	    inference('clc', [status(thm)], ['22', '17'])).
0.00/0.27	tff('24', plain,
0.00/0.27	    ('const/sets/IN'(sk_A0, sk_A31, sk_A2)
0.00/0.27	     | sk_P(sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32)))),
0.00/0.27	    inference('clc', [status(thm)], ['11', '23'])).
0.00/0.27	tff('25', plain,
0.00/0.27	    (sk_P(sk_A32)
0.00/0.27	     | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)
0.00/0.27	     | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
0.00/0.27	    inference('sup+', [status(thm)], ['3', '24'])).
0.00/0.27	tff('26', plain, ('const/sets/IN'(sk_A0, sk_A31, sk_A2) | sk_P(sk_A32)),
0.00/0.27	    inference('simplify', [status(thm)], ['25'])).
0.00/0.27	tff('27', plain, 'const/sets/IN'(sk_A0, sk_A31, sk_A2),
0.00/0.27	    inference('clc', [status(thm)], ['26', '23'])).
0.00/0.27	tff('28', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (~ $true
0.00/0.27	       | sk_P(X0)
0.00/0.27	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.27	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.27	       | sk_P(sk_A1(sk_A31))),
0.00/0.27	    inference('sup-', [status(thm)], ['27', '7'])).
0.00/0.27	tff('29', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (sk_P(sk_A1(sk_A31))
0.00/0.27	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.27	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.27	       | sk_P(X0)),
0.00/0.27	    inference('simplify', [status(thm)], ['28'])).
0.00/0.27	tff('30', plain,
0.00/0.27	    (~ sk_P(sk_A1(sk_A31))
0.00/0.27	     | 'const/sets/IN'(sk_A, sk_A32, 
0.00/0.27	         'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('31', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | ~ sk_P(sk_A1(sk_A31))
0.00/0.27	     | sk_A32 = sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32))),
0.00/0.27	    inference('sup-', [status(thm)], ['30', '1'])).
0.00/0.27	tff('32', plain,
0.00/0.27	    (sk_A32 = sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32))
0.00/0.27	     | ~ sk_P(sk_A1(sk_A31))),
0.00/0.27	    inference('simplify', [status(thm)], ['31'])).
0.00/0.27	tff('33', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | ~ sk_P(sk_A1(sk_A31))
0.00/0.27	     | 'const/sets/IN'(sk_A0, sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32), 
0.00/0.27	         sk_A2)),
0.00/0.27	    inference('sup-', [status(thm)], ['30', '4'])).
0.00/0.27	tff('34', plain,
0.00/0.27	    ('const/sets/IN'(sk_A0, sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32), sk_A2)
0.00/0.27	     | ~ sk_P(sk_A1(sk_A31))),
0.00/0.27	    inference('simplify', [status(thm)], ['33'])).
0.00/0.27	tff('35', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ sk_P(sk_A1(sk_A31))
0.00/0.27	       | sk_P(X0)
0.00/0.27	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.27	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.27	       | sk_P(sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32)))),
0.00/0.27	    inference('sup-', [status(thm)], ['34', '7'])).
0.00/0.27	tff('36', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (sk_P(sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32)))
0.00/0.27	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.27	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.27	       | sk_P(X0)
0.00/0.27	       | ~ sk_P(sk_A1(sk_A31))),
0.00/0.27	    inference('simplify', [status(thm)], ['35'])).
0.00/0.27	tff('37', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | ~ sk_P(sk_A1(sk_A31))
0.00/0.27	     | ~ sk_P(sk_A1(sk_A31))
0.00/0.27	     | sk_P(sk_A32)
0.00/0.27	     | sk_P(sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32)))),
0.00/0.27	    inference('sup-', [status(thm)], ['30', '36'])).
0.00/0.27	tff('38', plain,
0.00/0.27	    (sk_P(sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32)))
0.00/0.27	     | sk_P(sk_A32)
0.00/0.27	     | ~ sk_P(sk_A1(sk_A31))),
0.00/0.27	    inference('simplify', [status(thm)], ['37'])).
0.00/0.27	tff('39', plain,
0.00/0.27	    (~ sk_P(sk_A1(sk_A31))
0.00/0.27	     | sk_P(sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32)))),
0.00/0.27	    inference('clc', [status(thm)], ['38', '23'])).
0.00/0.27	tff('40', plain,
0.00/0.27	    (sk_P(sk_A32) | ~ sk_P(sk_A1(sk_A31)) | ~ sk_P(sk_A1(sk_A31))),
0.00/0.27	    inference('sup+', [status(thm)], ['32', '39'])).
0.00/0.27	tff('41', plain, (~ sk_P(sk_A1(sk_A31)) | sk_P(sk_A32)),
0.00/0.27	    inference('simplify', [status(thm)], ['40'])).
0.00/0.27	tff('42', plain, ~ sk_P(sk_A1(sk_A31)),
0.00/0.27	    inference('clc', [status(thm)], ['41', '23'])).
0.00/0.27	tff('43', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (sk_P(X0)
0.00/0.27	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.27	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))),
0.00/0.27	    inference('clc', [status(thm)], ['29', '42'])).
0.00/0.27	tff('44', plain,
0.00/0.27	    ![X0 : sk_A0]:
0.00/0.27	      (~ $true | ~ 'const/sets/IN'(sk_A0, X0, sk_A2) | sk_P(sk_A1(X0))),
0.00/0.27	    inference('sup-', [status(thm)], ['14', '43'])).
0.00/0.27	tff('45', plain,
0.00/0.27	    ![X0 : sk_A0]: (sk_P(sk_A1(X0)) | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)),
0.00/0.27	    inference('simplify', [status(thm)], ['44'])).
0.00/0.27	tff('46', plain, (~ $true | sk_P(sk_A1(sk_A31))),
0.00/0.27	    inference('sup-', [status(thm)], ['27', '45'])).
0.00/0.27	tff('47', plain, sk_P(sk_A1(sk_A31)),
0.00/0.27	    inference('simplify', [status(thm)], ['46'])).
0.00/0.27	tff('48', plain, ~ $true, inference('sup-', [status(thm)], ['47', '42'])).
0.00/0.27	tff('49', plain, $false, inference('simplify', [status(thm)], ['48'])).
0.00/0.27	
0.00/0.27	% SZS output end Refutation
0.00/0.27	EOF
