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    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n130.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:28:39 CST 2018
1.21/1.40	% done 787 iterations in 1.200s
1.21/1.40	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
1.21/1.40	% SZS output start Refutation
1.21/1.40	tff('thm/sets/EXTENSION_', axiom,
1.21/1.40	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
1.21/1.40	     ((A0 = A1) <=>
1.21/1.40	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
1.21/1.40	tff('0', plain,
1.21/1.40	    ![X11 : $tType, X14 : X11 > $o, X16 : X11 > $o]:
1.21/1.40	      (X14 = X16
1.21/1.40	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X16)
1.21/1.40	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X14)),
1.21/1.40	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
1.21/1.40	tff('thm/sets/IN_IMAGE_', axiom,
1.21/1.40	  (![B:$tType,A:$tType,A0:B,A1:(A > $o),A2:(A > B)]:
1.21/1.40	     ('const/sets/IN'(B,A0,'const/sets/IMAGE'(A,B,A2,A1)) <=>
1.21/1.40	      (?[A3:A]: ('const/sets/IN'(A,A3,A1) & (A0 = A2(A3))))))).
1.21/1.40	tff('1', plain,
1.21/1.40	    ![X4 : $tType, X5 : $tType, X6 : X4 > X5, X7 : X4 > $o, X8 : X5]:
1.21/1.40	      (X8 = X6(sk_A3(X4, X5, X6, X7, X8))
1.21/1.40	       | ~ 'const/sets/IN'(X5, X8, 'const/sets/IMAGE'(X4, X5, X6, X7))),
1.21/1.40	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
1.21/1.40	tff('2', plain,
1.21/1.40	    ![X4 : $tType, X5 : $tType, X6 : X4 > X5, X7 : X4 > $o, X8 : X5]:
1.21/1.40	      ('const/sets/IN'(X4, sk_A3(X4, X5, X6, X7, X8), X7)
1.21/1.40	       | ~ 'const/sets/IN'(X5, X8, 'const/sets/IMAGE'(X4, X5, X6, X7))),
1.21/1.40	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
1.21/1.40	tff('thm/sets/SURJECTIVE_IMAGE_EQ_', conjecture,
1.21/1.40	  (![A:$tType,A0:$tType,A1:(A > A0),A2:(A > $o),A3:(A0 > $o)]:
1.21/1.40	     (((![A4:A]: ('const/sets/IN'(A0,A1(A4),A3) <=> 'const/sets/IN'(A,A4,A2))) & 
1.21/1.40	       (![A4:A0]: ('const/sets/IN'(A0,A4,A3) => (?[A5:A]: (A1(A5) = A4))))) =>
1.21/1.40	      ('const/sets/IMAGE'(A,A0,A1,A2) = A3)))).
1.21/1.40	tff(zf_stmt_0, negated_conjecture,
1.21/1.40	  (~
1.21/1.40	    (![A:$tType,A0:$tType,A1:(A > A0),A2:(A > $o),A3:(A0 > $o)]:
1.21/1.40	       (((![A4:A]:
1.21/1.40	            ('const/sets/IN'(A0,A1(A4),A3) <=> 'const/sets/IN'(A,A4,A2))) & 
1.21/1.40	         (![A4:A0]: ('const/sets/IN'(A0,A4,A3) => (?[A5:A]: (A1(A5) = A4))))) =>
1.21/1.40	        ('const/sets/IMAGE'(A,A0,A1,A2) = A3))))).
1.21/1.40	tff('3', plain,
1.21/1.40	    ![X17 : sk_A]:
1.21/1.40	      ('const/sets/IN'(sk_A0, sk_A1(X17), sk_A31)
1.21/1.40	       | ~ 'const/sets/IN'(sk_A, X17, sk_A21)),
1.21/1.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.21/1.40	tff('4', plain,
1.21/1.40	    ![X0 : $tType, X1 : X0, X2 : sk_A > X0]:
1.21/1.40	      (~ $true
1.21/1.40	       | ~ 'const/sets/IN'(X0, X1, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A21))
1.21/1.40	       | 'const/sets/IN'(sk_A0, sk_A1(sk_A3(sk_A, X0, X2, sk_A21, X1)), 
1.21/1.40	           sk_A31)),
1.21/1.40	    inference('sup-', [status(thm)], ['2', '3'])).
1.21/1.40	tff('5', plain,
1.21/1.40	    ![X0 : $tType, X1 : X0, X2 : sk_A > X0]:
1.21/1.40	      ('const/sets/IN'(sk_A0, sk_A1(sk_A3(sk_A, X0, X2, sk_A21, X1)), sk_A31)
1.21/1.40	       | ~ 'const/sets/IN'(X0, X1, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A21))),
1.21/1.40	    inference('simplify', [status(thm)], ['4'])).
1.21/1.40	tff('6', plain,
1.21/1.40	    ![X0 : sk_A0]:
1.21/1.40	      ('const/sets/IN'(sk_A0, X0, sk_A31)
1.21/1.40	       | ~ 'const/sets/IN'(sk_A0, X0, 
1.21/1.40	             'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21))
1.21/1.40	       | ~ 'const/sets/IN'(sk_A0, X0, 
1.21/1.40	             'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21))),
1.21/1.40	    inference('sup+', [status(thm)], ['1', '5'])).
1.21/1.40	tff('7', plain,
1.21/1.40	    ![X0 : sk_A0]:
1.21/1.40	      (~ 'const/sets/IN'(sk_A0, X0, 
1.21/1.40	           'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21))
1.21/1.40	       | 'const/sets/IN'(sk_A0, X0, sk_A31)),
1.21/1.40	    inference('simplify', [status(thm)], ['6'])).
1.21/1.40	tff('8', plain,
1.21/1.40	    ![X0 : sk_A0 > $o]:
1.21/1.40	      (~ $true
1.21/1.40	       | 'const/sets/IN'(sk_A0, 
1.21/1.40	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
1.21/1.40	           X0)
1.21/1.40	       | X0 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)
1.21/1.40	       | 'const/sets/IN'(sk_A0, 
1.21/1.40	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
1.21/1.40	           sk_A31)),
1.21/1.40	    inference('sup-', [status(thm)], ['0', '7'])).
1.21/1.40	tff('9', plain,
1.21/1.40	    ![X0 : sk_A0 > $o]:
1.21/1.40	      ('const/sets/IN'(sk_A0, 
1.21/1.40	         sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
1.21/1.40	         sk_A31)
1.21/1.40	       | X0 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)
1.21/1.40	       | 'const/sets/IN'(sk_A0, 
1.21/1.40	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
1.21/1.40	           X0)),
1.21/1.40	    inference('simplify', [status(thm)], ['8'])).
1.21/1.40	tff('10', plain,
1.21/1.40	    (~ $true
1.21/1.40	     | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)
1.21/1.40	     | 'const/sets/IN'(sk_A0, 
1.21/1.40	         sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), sk_A31), 
1.21/1.40	         sk_A31)),
1.21/1.40	    inference('eq_fact', [status(thm)], ['9'])).
1.21/1.40	tff('11', plain,
1.21/1.40	    ('const/sets/IN'(sk_A0, 
1.21/1.40	       sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), sk_A31), 
1.21/1.40	       sk_A31)
1.21/1.40	     | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)),
1.21/1.40	    inference('simplify', [status(thm)], ['10'])).
1.21/1.40	tff('12', plain, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21) != sk_A31,
1.21/1.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.21/1.40	tff('13', plain,
1.21/1.40	    'const/sets/IN'(sk_A0, 
1.21/1.40	      sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), sk_A31), 
1.21/1.40	      sk_A31),
1.21/1.40	    inference('simplify_reflect-', [status(thm)], ['11', '12'])).
1.21/1.40	tff('14', plain,
1.21/1.40	    ![X19 : sk_A0]:
1.21/1.40	      (sk_A1(sk_A5(X19)) = X19 | ~ 'const/sets/IN'(sk_A0, X19, sk_A31)),
1.21/1.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.21/1.40	tff('15', plain,
1.21/1.40	    ![X18 : sk_A]:
1.21/1.40	      ('const/sets/IN'(sk_A, X18, sk_A21)
1.21/1.40	       | ~ 'const/sets/IN'(sk_A0, sk_A1(X18), sk_A31)),
1.21/1.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.21/1.40	tff('16', plain,
1.21/1.40	    ![X0 : sk_A0]:
1.21/1.40	      (~ 'const/sets/IN'(sk_A0, X0, sk_A31)
1.21/1.40	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
1.21/1.40	       | 'const/sets/IN'(sk_A, sk_A5(X0), sk_A21)),
1.21/1.40	    inference('sup-', [status(thm)], ['14', '15'])).
1.21/1.40	tff('17', plain,
1.21/1.40	    ![X0 : sk_A0]:
1.21/1.40	      ('const/sets/IN'(sk_A, sk_A5(X0), sk_A21)
1.21/1.40	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)),
1.21/1.40	    inference('simplify', [status(thm)], ['16'])).
1.21/1.40	tff('18', plain,
1.21/1.40	    ![X4 : $tType, X5 : $tType, X7 : X4 > $o, X8 : X5, X9 : X4 > X5, X10 : X4]:
1.21/1.40	      ('const/sets/IN'(X5, X8, 'const/sets/IMAGE'(X4, X5, X9, X7))
1.21/1.40	       | X8 != X9(X10)
1.21/1.40	       | ~ 'const/sets/IN'(X4, X10, X7)),
1.21/1.40	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
1.21/1.40	tff('19', plain,
1.21/1.40	    ![X4 : $tType, X5 : $tType, X7 : X4 > $o, X9 : X4 > X5, X10 : X4]:
1.21/1.40	      (~ 'const/sets/IN'(X4, X10, X7)
1.21/1.40	       | 'const/sets/IN'(X5, X9(X10), 'const/sets/IMAGE'(X4, X5, X9, X7))),
1.21/1.40	    inference('simplify', [status(thm)], ['18'])).
1.21/1.40	tff('20', plain,
1.21/1.40	    ![X0 : sk_A0, X1 : $tType, X2 : sk_A > X1]:
1.21/1.40	      (~ $true
1.21/1.40	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
1.21/1.40	       | 'const/sets/IN'(X1, X2(sk_A5(X0)), 
1.21/1.40	           'const/sets/IMAGE'(sk_A, X1, X2, sk_A21))),
1.21/1.40	    inference('sup-', [status(thm)], ['17', '19'])).
1.21/1.40	tff('21', plain,
1.21/1.40	    ![X0 : sk_A0, X1 : $tType, X2 : sk_A > X1]:
1.21/1.40	      ('const/sets/IN'(X1, X2(sk_A5(X0)), 
1.21/1.40	         'const/sets/IMAGE'(sk_A, X1, X2, sk_A21))
1.21/1.40	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)),
1.21/1.40	    inference('simplify', [status(thm)], ['20'])).
1.21/1.40	tff('22', plain,
1.21/1.40	    ![X0 : sk_A0]:
1.21/1.40	      ('const/sets/IN'(sk_A0, X0, 
1.21/1.40	         'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21))
1.21/1.40	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
1.21/1.40	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)),
1.21/1.40	    inference('sup+', [status(thm)], ['14', '21'])).
1.21/1.40	tff('23', plain,
1.21/1.40	    ![X0 : sk_A0]:
1.21/1.40	      (~ 'const/sets/IN'(sk_A0, X0, sk_A31)
1.21/1.40	       | 'const/sets/IN'(sk_A0, X0, 
1.21/1.40	           'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21))),
1.21/1.40	    inference('simplify', [status(thm)], ['22'])).
1.21/1.40	tff('24', plain,
1.21/1.40	    ![X11 : $tType, X14 : X11 > $o, X16 : X11 > $o]:
1.21/1.40	      (X14 = X16
1.21/1.40	       | ~ 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X16)
1.21/1.40	       | ~ 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X14)),
1.21/1.40	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
1.21/1.40	tff('25', plain,
1.21/1.40	    ![X0 : sk_A0 > $o]:
1.21/1.40	      (~ $true
1.21/1.40	       | ~ 'const/sets/IN'(sk_A0, 
1.21/1.40	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
1.21/1.40	             sk_A31)
1.21/1.40	       | ~ 'const/sets/IN'(sk_A0, 
1.21/1.40	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
1.21/1.40	             X0)
1.21/1.40	       | X0 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)),
1.21/1.40	    inference('sup-', [status(thm)], ['23', '24'])).
1.21/1.40	tff('26', plain,
1.21/1.40	    ![X0 : sk_A0 > $o]:
1.21/1.40	      (X0 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)
1.21/1.40	       | ~ 'const/sets/IN'(sk_A0, 
1.21/1.40	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
1.21/1.40	             X0)
1.21/1.40	       | ~ 'const/sets/IN'(sk_A0, 
1.21/1.40	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
1.21/1.40	             sk_A31)),
1.21/1.40	    inference('simplify', [status(thm)], ['25'])).
1.21/1.40	tff('27', plain,
1.21/1.40	    (~ $true
1.21/1.40	     | ~ 'const/sets/IN'(sk_A0, 
1.21/1.40	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), 
1.21/1.40	             sk_A31), sk_A31)
1.21/1.40	     | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)),
1.21/1.40	    inference('sup-', [status(thm)], ['13', '26'])).
1.21/1.40	tff('28', plain,
1.21/1.40	    (~ $true
1.21/1.40	     | ~ $true
1.21/1.40	     | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)),
1.21/1.40	    inference('demod', [status(thm)], ['27', '13'])).
1.21/1.40	tff('29', plain, sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21),
1.21/1.40	    inference('simplify', [status(thm)], ['28'])).
1.21/1.40	tff('30', plain, $false,
1.21/1.40	    inference('simplify_reflect-', [status(thm)], ['29', '12'])).
1.21/1.40	
1.21/1.40	% SZS output end Refutation
1.21/1.41	EOF
