0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : supatvars_int
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --sup-at-vars \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n036.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:31:39 CST 2018
12.62/12.84	% done 1016 iterations in 12.626s
12.62/12.84	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
12.62/12.84	% SZS output start Refutation
12.62/12.84	tff('thm/sets/EXTENSION_', axiom,
12.62/12.84	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
12.62/12.84	     ((A0 = A1) <=>
12.62/12.84	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
12.62/12.84	tff('0', plain,
12.62/12.84	    ![X11 : $tType, X14 : X11 > $o, X16 : X11 > $o]:
12.62/12.84	      (X14 = X16
12.62/12.84	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X16)
12.62/12.84	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X14)),
12.62/12.84	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
12.62/12.84	tff('thm/sets/IN_IMAGE_', axiom,
12.62/12.84	  (![B:$tType,A:$tType,A0:B,A1:(A > $o),A2:(A > B)]:
12.62/12.84	     ('const/sets/IN'(B,A0,'const/sets/IMAGE'(A,B,A2,A1)) <=>
12.62/12.84	      (?[A3:A]: ('const/sets/IN'(A,A3,A1) & (A0 = A2(A3))))))).
12.62/12.84	tff('1', plain,
12.62/12.84	    ![X4 : $tType, X5 : $tType, X6 : X4 > X5, X7 : X4 > $o, X8 : X5]:
12.62/12.84	      (X8 = X6(sk_A3(X4, X5, X6, X7, X8))
12.62/12.84	       | ~ 'const/sets/IN'(X5, X8, 'const/sets/IMAGE'(X4, X5, X6, X7))),
12.62/12.84	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
12.62/12.84	tff('2', plain,
12.62/12.84	    ![X4 : $tType, X5 : $tType, X6 : X4 > X5, X7 : X4 > $o, X8 : X5]:
12.62/12.84	      ('const/sets/IN'(X4, sk_A3(X4, X5, X6, X7, X8), X7)
12.62/12.84	       | ~ 'const/sets/IN'(X5, X8, 'const/sets/IMAGE'(X4, X5, X6, X7))),
12.62/12.84	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
12.62/12.84	tff('thm/sets/SURJECTIVE_IMAGE_EQ_', conjecture,
12.62/12.84	  (![A:$tType,A0:$tType,A1:(A > A0),A2:(A > $o),A3:(A0 > $o)]:
12.62/12.84	     (((![A4:A]: ('const/sets/IN'(A0,A1(A4),A3) <=> 'const/sets/IN'(A,A4,A2))) & 
12.62/12.84	       (![A4:A0]: ('const/sets/IN'(A0,A4,A3) => (?[A5:A]: (A1(A5) = A4))))) =>
12.62/12.84	      ('const/sets/IMAGE'(A,A0,A1,A2) = A3)))).
12.62/12.84	tff(zf_stmt_0, negated_conjecture,
12.62/12.84	  (~
12.62/12.84	    (![A:$tType,A0:$tType,A1:(A > A0),A2:(A > $o),A3:(A0 > $o)]:
12.62/12.84	       (((![A4:A]:
12.62/12.84	            ('const/sets/IN'(A0,A1(A4),A3) <=> 'const/sets/IN'(A,A4,A2))) & 
12.62/12.84	         (![A4:A0]: ('const/sets/IN'(A0,A4,A3) => (?[A5:A]: (A1(A5) = A4))))) =>
12.62/12.84	        ('const/sets/IMAGE'(A,A0,A1,A2) = A3))))).
12.62/12.84	tff('3', plain,
12.62/12.84	    ![X17 : sk_A]:
12.62/12.84	      ('const/sets/IN'(sk_A0, sk_A1(X17), sk_A31)
12.62/12.84	       | ~ 'const/sets/IN'(sk_A, X17, sk_A21)),
12.62/12.84	    inference('cnf', [status(esa)], [zf_stmt_0])).
12.62/12.84	tff('4', plain,
12.62/12.84	    ![X0 : $tType, X1 : X0, X2 : sk_A > X0]:
12.62/12.84	      (~ $true
12.62/12.84	       | ~ 'const/sets/IN'(X0, X1, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A21))
12.62/12.84	       | 'const/sets/IN'(sk_A0, sk_A1(sk_A3(sk_A, X0, X2, sk_A21, X1)), 
12.62/12.84	           sk_A31)),
12.62/12.84	    inference('sup-', [status(thm)], ['2', '3'])).
12.62/12.84	tff('5', plain,
12.62/12.84	    ![X0 : $tType, X1 : X0, X2 : sk_A > X0]:
12.62/12.84	      ('const/sets/IN'(sk_A0, sk_A1(sk_A3(sk_A, X0, X2, sk_A21, X1)), sk_A31)
12.62/12.84	       | ~ 'const/sets/IN'(X0, X1, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A21))),
12.62/12.84	    inference('simplify', [status(thm)], ['4'])).
12.62/12.84	tff('6', plain,
12.62/12.84	    ![X0 : sk_A0]:
12.62/12.84	      ('const/sets/IN'(sk_A0, X0, sk_A31)
12.62/12.84	       | ~ 'const/sets/IN'(sk_A0, X0, 
12.62/12.84	             'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21))
12.62/12.84	       | ~ 'const/sets/IN'(sk_A0, X0, 
12.62/12.84	             'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21))),
12.62/12.84	    inference('sup+', [status(thm)], ['1', '5'])).
12.62/12.84	tff('7', plain,
12.62/12.84	    ![X0 : sk_A0]:
12.62/12.84	      (~ 'const/sets/IN'(sk_A0, X0, 
12.62/12.84	           'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21))
12.62/12.84	       | 'const/sets/IN'(sk_A0, X0, sk_A31)),
12.62/12.84	    inference('simplify', [status(thm)], ['6'])).
12.62/12.84	tff('8', plain,
12.62/12.84	    ![X0 : sk_A0 > $o]:
12.62/12.84	      (~ $true
12.62/12.84	       | 'const/sets/IN'(sk_A0, 
12.62/12.84	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
12.62/12.84	           X0)
12.62/12.84	       | X0 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)
12.62/12.84	       | 'const/sets/IN'(sk_A0, 
12.62/12.84	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
12.62/12.84	           sk_A31)),
12.62/12.84	    inference('sup-', [status(thm)], ['0', '7'])).
12.62/12.84	tff('9', plain,
12.62/12.84	    ![X0 : sk_A0 > $o]:
12.62/12.84	      ('const/sets/IN'(sk_A0, 
12.62/12.84	         sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
12.62/12.84	         sk_A31)
12.62/12.84	       | X0 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)
12.62/12.84	       | 'const/sets/IN'(sk_A0, 
12.62/12.84	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
12.62/12.84	           X0)),
12.62/12.84	    inference('simplify', [status(thm)], ['8'])).
12.62/12.84	tff('10', plain,
12.62/12.84	    (~ $true
12.62/12.84	     | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)
12.62/12.84	     | 'const/sets/IN'(sk_A0, 
12.62/12.84	         sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), sk_A31), 
12.62/12.84	         sk_A31)),
12.62/12.84	    inference('eq_fact', [status(thm)], ['9'])).
12.62/12.84	tff('11', plain,
12.62/12.84	    ('const/sets/IN'(sk_A0, 
12.62/12.84	       sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), sk_A31), 
12.62/12.84	       sk_A31)
12.62/12.84	     | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)),
12.62/12.84	    inference('simplify', [status(thm)], ['10'])).
12.62/12.84	tff('12', plain, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21) != sk_A31,
12.62/12.84	    inference('cnf', [status(esa)], [zf_stmt_0])).
12.62/12.84	tff('13', plain,
12.62/12.84	    'const/sets/IN'(sk_A0, 
12.62/12.84	      sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), sk_A31), 
12.62/12.84	      sk_A31),
12.62/12.84	    inference('simplify_reflect-', [status(thm)], ['11', '12'])).
12.62/12.84	tff('14', plain,
12.62/12.84	    ![X19 : sk_A0]:
12.62/12.84	      (sk_A1(sk_A5(X19)) = X19 | ~ 'const/sets/IN'(sk_A0, X19, sk_A31)),
12.62/12.84	    inference('cnf', [status(esa)], [zf_stmt_0])).
12.62/12.84	tff('15', plain,
12.62/12.84	    ![X18 : sk_A]:
12.62/12.84	      ('const/sets/IN'(sk_A, X18, sk_A21)
12.62/12.84	       | ~ 'const/sets/IN'(sk_A0, sk_A1(X18), sk_A31)),
12.62/12.84	    inference('cnf', [status(esa)], [zf_stmt_0])).
12.62/12.84	tff('16', plain,
12.62/12.84	    ![X0 : sk_A0]:
12.62/12.84	      (~ 'const/sets/IN'(sk_A0, X0, sk_A31)
12.62/12.84	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
12.62/12.84	       | 'const/sets/IN'(sk_A, sk_A5(X0), sk_A21)),
12.62/12.84	    inference('sup-', [status(thm)], ['14', '15'])).
12.62/12.84	tff('17', plain,
12.62/12.84	    ![X0 : sk_A0]:
12.62/12.84	      ('const/sets/IN'(sk_A, sk_A5(X0), sk_A21)
12.62/12.84	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)),
12.62/12.84	    inference('simplify', [status(thm)], ['16'])).
12.62/12.84	tff('18', plain,
12.62/12.84	    ![X4 : $tType, X5 : $tType, X7 : X4 > $o, X8 : X5, X9 : X4 > X5, X10 : X4]:
12.62/12.84	      ('const/sets/IN'(X5, X8, 'const/sets/IMAGE'(X4, X5, X9, X7))
12.62/12.84	       | X8 != X9(X10)
12.62/12.84	       | ~ 'const/sets/IN'(X4, X10, X7)),
12.62/12.84	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
12.62/12.84	tff('19', plain,
12.62/12.84	    ![X4 : $tType, X5 : $tType, X7 : X4 > $o, X9 : X4 > X5, X10 : X4]:
12.62/12.84	      (~ 'const/sets/IN'(X4, X10, X7)
12.62/12.84	       | 'const/sets/IN'(X5, X9(X10), 'const/sets/IMAGE'(X4, X5, X9, X7))),
12.62/12.84	    inference('simplify', [status(thm)], ['18'])).
12.62/12.84	tff('20', plain,
12.62/12.84	    ![X0 : sk_A0, X1 : $tType, X2 : sk_A > X1]:
12.62/12.84	      (~ $true
12.62/12.84	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
12.62/12.84	       | 'const/sets/IN'(X1, X2(sk_A5(X0)), 
12.62/12.84	           'const/sets/IMAGE'(sk_A, X1, X2, sk_A21))),
12.62/12.84	    inference('sup-', [status(thm)], ['17', '19'])).
12.62/12.84	tff('21', plain,
12.62/12.84	    ![X0 : sk_A0, X1 : $tType, X2 : sk_A > X1]:
12.62/12.84	      ('const/sets/IN'(X1, X2(sk_A5(X0)), 
12.62/12.84	         'const/sets/IMAGE'(sk_A, X1, X2, sk_A21))
12.62/12.84	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)),
12.62/12.84	    inference('simplify', [status(thm)], ['20'])).
12.62/12.84	tff('22', plain,
12.62/12.84	    ![X0 : sk_A0]:
12.62/12.84	      ('const/sets/IN'(sk_A0, X0, 
12.62/12.84	         'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21))
12.62/12.84	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
12.62/12.84	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)),
12.62/12.84	    inference('sup+', [status(thm)], ['14', '21'])).
12.62/12.84	tff('23', plain,
12.62/12.84	    ![X0 : sk_A0]:
12.62/12.84	      (~ 'const/sets/IN'(sk_A0, X0, sk_A31)
12.62/12.84	       | 'const/sets/IN'(sk_A0, X0, 
12.62/12.84	           'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21))),
12.62/12.84	    inference('simplify', [status(thm)], ['22'])).
12.62/12.84	tff('24', plain,
12.62/12.84	    ![X11 : $tType, X14 : X11 > $o, X16 : X11 > $o]:
12.62/12.84	      (X14 = X16
12.62/12.84	       | ~ 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X16)
12.62/12.84	       | ~ 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X14)),
12.62/12.84	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
12.62/12.84	tff('25', plain,
12.62/12.84	    ![X0 : sk_A0 > $o]:
12.62/12.84	      (~ $true
12.62/12.84	       | ~ 'const/sets/IN'(sk_A0, 
12.62/12.84	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
12.62/12.84	             sk_A31)
12.62/12.84	       | ~ 'const/sets/IN'(sk_A0, 
12.62/12.84	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
12.62/12.84	             X0)
12.62/12.84	       | X0 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)),
12.62/12.84	    inference('sup-', [status(thm)], ['23', '24'])).
12.62/12.84	tff('26', plain,
12.62/12.84	    ![X0 : sk_A0 > $o]:
12.62/12.84	      (X0 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)
12.62/12.84	       | ~ 'const/sets/IN'(sk_A0, 
12.62/12.84	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
12.62/12.84	             X0)
12.62/12.84	       | ~ 'const/sets/IN'(sk_A0, 
12.62/12.84	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), X0), 
12.62/12.84	             sk_A31)),
12.62/12.84	    inference('simplify', [status(thm)], ['25'])).
12.62/12.84	tff('27', plain,
12.62/12.84	    (~ $true
12.62/12.84	     | ~ 'const/sets/IN'(sk_A0, 
12.62/12.84	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21), 
12.62/12.84	             sk_A31), sk_A31)
12.62/12.84	     | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)),
12.62/12.84	    inference('sup-', [status(thm)], ['13', '26'])).
12.62/12.84	tff('28', plain,
12.62/12.84	    (~ $true
12.62/12.84	     | ~ $true
12.62/12.84	     | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21)),
12.62/12.84	    inference('demod', [status(thm)], ['27', '13'])).
12.62/12.84	tff('29', plain, sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21),
12.62/12.84	    inference('simplify', [status(thm)], ['28'])).
12.62/12.84	tff('30', plain, $false,
12.62/12.84	    inference('simplify_reflect-', [status(thm)], ['29', '12'])).
12.62/12.84	
12.62/12.84	% SZS output end Refutation
12.62/12.84	EOF
