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_int
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n101.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:31:53 CST 2018
10.58/10.76	% done 1363 iterations in 10.559s
10.58/10.76	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
10.58/10.76	% SZS output start Refutation
10.58/10.76	tff('thm/sets/EXTENSION_', axiom,
10.58/10.76	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
10.58/10.76	     ((A0 = A1) <=>
10.58/10.76	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
10.58/10.76	tff('0', plain,
10.58/10.76	    ![X11 : $tType, X14 : X11 > $o, X16 : X11 > $o]:
10.58/10.76	      (X14 = X16
10.58/10.76	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X16)
10.58/10.76	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X14)),
10.58/10.76	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
10.58/10.76	tff('thm/sets/IN_IMAGE_', axiom,
10.58/10.76	  (![B:$tType,A:$tType,A0:B,A1:(A > $o),A2:(A > B)]:
10.58/10.76	     ('const/sets/IN'(B,A0,'const/sets/IMAGE'(A,B,A2,A1)) <=>
10.58/10.76	      (?[A3:A]: ('const/sets/IN'(A,A3,A1) & (A0 = A2(A3))))))).
10.58/10.76	tff('1', plain,
10.58/10.76	    ![X4 : $tType, X5 : $tType, X6 : X4 > X5, X7 : X4 > $o, X8 : X5]:
10.58/10.76	      (X8 = X6(sk_A3(X4, X5, X6, X7, X8))
10.58/10.76	       | ~ 'const/sets/IN'(X5, X8, 'const/sets/IMAGE'(X4, X5, X6, X7))),
10.58/10.76	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
10.58/10.76	tff('2', plain,
10.58/10.76	    ![X4 : $tType, X5 : $tType, X6 : X4 > X5, X7 : X4 > $o, X8 : X5, 
10.58/10.76	      X9 : X4 > X5]:
10.58/10.76	      (X9 != X6
10.58/10.76	       | X8 = X6(sk_A3(X4, X5, X9, X7, X8))
10.58/10.76	       | ~ 'const/sets/IN'(X5, X8, 'const/sets/IMAGE'(X4, X5, X9, X7))),
10.58/10.76	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
10.58/10.76	tff('3', plain,
10.58/10.76	    ![X4 : $tType, X5 : $tType, X6 : X4 > X5, X7 : X4 > $o, X8 : X5]:
10.58/10.76	      ('const/sets/IN'(X4, sk_A3(X4, X5, X6, X7, X8), X7)
10.58/10.76	       | ~ 'const/sets/IN'(X5, X8, 'const/sets/IMAGE'(X4, X5, X6, X7))),
10.58/10.76	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
10.58/10.76	tff('thm/sets/SURJECTIVE_IMAGE_EQ_', conjecture,
10.58/10.76	  (![A:$tType,A0:$tType,A1:(A > A0),A2:(A > $o),A3:(A0 > $o)]:
10.58/10.76	     (((![A4:A]: ('const/sets/IN'(A0,A1(A4),A3) <=> 'const/sets/IN'(A,A4,A2))) & 
10.58/10.76	       (![A4:A0]: ('const/sets/IN'(A0,A4,A3) => (?[A5:A]: (A1(A5) = A4))))) =>
10.58/10.76	      ('const/sets/IMAGE'(A,A0,A1,A2) = A3)))).
10.58/10.76	tff(zf_stmt_0, negated_conjecture,
10.58/10.76	  (~
10.58/10.76	    (![A:$tType,A0:$tType,A1:(A > A0),A2:(A > $o),A3:(A0 > $o)]:
10.58/10.76	       (((![A4:A]:
10.58/10.76	            ('const/sets/IN'(A0,A1(A4),A3) <=> 'const/sets/IN'(A,A4,A2))) & 
10.58/10.76	         (![A4:A0]: ('const/sets/IN'(A0,A4,A3) => (?[A5:A]: (A1(A5) = A4))))) =>
10.58/10.76	        ('const/sets/IMAGE'(A,A0,A1,A2) = A3))))).
10.58/10.76	tff('4', plain,
10.58/10.76	    ![X17 : sk_A]:
10.58/10.76	      ('const/sets/IN'(sk_A0, sk_A1(X17), sk_A31)
10.58/10.76	       | ~ 'const/sets/IN'(sk_A, X17, sk_A21)),
10.58/10.76	    inference('cnf', [status(esa)], [zf_stmt_0])).
10.58/10.76	tff('5', plain,
10.58/10.76	    ![X0 : $tType, X1 : X0, X2 : sk_A > X0]:
10.58/10.76	      (~ $true
10.58/10.76	       | ~ 'const/sets/IN'(X0, X1, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A21))
10.58/10.76	       | 'const/sets/IN'(sk_A0, sk_A1(sk_A3(sk_A, X0, X2, sk_A21, X1)), 
10.58/10.76	           sk_A31)),
10.58/10.76	    inference('sup-', [status(thm)], ['3', '4'])).
10.58/10.76	tff('6', plain,
10.58/10.76	    ![X0 : $tType, X1 : X0, X2 : sk_A > X0]:
10.58/10.76	      ('const/sets/IN'(sk_A0, sk_A1(sk_A3(sk_A, X0, X2, sk_A21, X1)), sk_A31)
10.58/10.76	       | ~ 'const/sets/IN'(X0, X1, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A21))),
10.58/10.76	    inference('simplify', [status(thm)], ['5'])).
10.58/10.76	tff('7', plain,
10.58/10.76	    ![X0 : sk_A0, X1 : sk_A > sk_A0]:
10.58/10.76	      ('const/sets/IN'(sk_A0, X0, sk_A31)
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, X0, 
10.58/10.76	             'const/sets/IMAGE'(sk_A, sk_A0, X1, sk_A21))
10.58/10.76	       | X1 != sk_A1
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, X0, 
10.58/10.76	             'const/sets/IMAGE'(sk_A, sk_A0, X1, sk_A21))),
10.58/10.76	    inference('sup+', [status(thm)], ['2', '6'])).
10.58/10.76	tff('8', plain,
10.58/10.76	    ![X0 : sk_A0, X1 : sk_A > sk_A0]:
10.58/10.76	      (X1 != sk_A1
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, X0, 
10.58/10.76	             'const/sets/IMAGE'(sk_A, sk_A0, X1, sk_A21))
10.58/10.76	       | 'const/sets/IN'(sk_A0, X0, sk_A31)),
10.58/10.76	    inference('simplify', [status(thm)], ['7'])).
10.58/10.76	tff('9', plain,
10.58/10.76	    ![X0 : sk_A > sk_A0, X1 : sk_A0 > $o]:
10.58/10.76	      (~ $true
10.58/10.76	       | 'const/sets/IN'(sk_A0, 
10.58/10.76	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), X1)
10.58/10.76	       | X1 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)
10.58/10.76	       | 'const/sets/IN'(sk_A0, 
10.58/10.76	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), 
10.58/10.76	           sk_A31)
10.58/10.76	       | X0 != sk_A1),
10.58/10.76	    inference('sup-', [status(thm)], ['0', '8'])).
10.58/10.76	tff('10', plain,
10.58/10.76	    ![X0 : sk_A > sk_A0, X1 : sk_A0 > $o]:
10.58/10.76	      (X0 != sk_A1
10.58/10.76	       | 'const/sets/IN'(sk_A0, 
10.58/10.76	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), 
10.58/10.76	           sk_A31)
10.58/10.76	       | X1 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)
10.58/10.76	       | 'const/sets/IN'(sk_A0, 
10.58/10.76	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), X1)),
10.58/10.76	    inference('simplify', [status(thm)], ['9'])).
10.58/10.76	tff('11', plain,
10.58/10.76	    ![X0 : sk_A > sk_A0]:
10.58/10.76	      (~ $true
10.58/10.76	       | 'const/sets/IN'(sk_A0, 
10.58/10.76	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), sk_A31), 
10.58/10.76	           sk_A31)
10.58/10.76	       | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)
10.58/10.76	       | X0 != sk_A1),
10.58/10.76	    inference('eq_fact', [status(thm)], ['10'])).
10.58/10.76	tff('12', plain,
10.58/10.76	    ![X0 : sk_A > sk_A0]:
10.58/10.76	      (X0 != sk_A1
10.58/10.76	       | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)
10.58/10.76	       | 'const/sets/IN'(sk_A0, 
10.58/10.76	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), sk_A31), 
10.58/10.76	           sk_A31)),
10.58/10.76	    inference('simplify', [status(thm)], ['11'])).
10.58/10.76	tff('13', plain,
10.58/10.76	    ![X19 : sk_A0]:
10.58/10.76	      (sk_A1(sk_A5(X19)) = X19 | ~ 'const/sets/IN'(sk_A0, X19, sk_A31)),
10.58/10.76	    inference('cnf', [status(esa)], [zf_stmt_0])).
10.58/10.76	tff('14', plain,
10.58/10.76	    ![X18 : sk_A]:
10.58/10.76	      ('const/sets/IN'(sk_A, X18, sk_A21)
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, sk_A1(X18), sk_A31)),
10.58/10.76	    inference('cnf', [status(esa)], [zf_stmt_0])).
10.58/10.76	tff('15', plain,
10.58/10.76	    ![X0 : sk_A0]:
10.58/10.76	      (~ 'const/sets/IN'(sk_A0, X0, sk_A31)
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
10.58/10.76	       | 'const/sets/IN'(sk_A, sk_A5(X0), sk_A21)),
10.58/10.76	    inference('sup-', [status(thm)], ['13', '14'])).
10.58/10.76	tff('16', plain,
10.58/10.76	    ![X0 : sk_A0]:
10.58/10.76	      ('const/sets/IN'(sk_A, sk_A5(X0), sk_A21)
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)),
10.58/10.76	    inference('simplify', [status(thm)], ['15'])).
10.58/10.76	tff('17', plain,
10.58/10.76	    ![X4 : $tType, X5 : $tType, X7 : X4 > $o, X8 : X5, X9 : X4 > X5, X10 : X4]:
10.58/10.76	      ('const/sets/IN'(X5, X8, 'const/sets/IMAGE'(X4, X5, X9, X7))
10.58/10.76	       | X8 != X9(X10)
10.58/10.76	       | ~ 'const/sets/IN'(X4, X10, X7)),
10.58/10.76	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
10.58/10.76	tff('18', plain,
10.58/10.76	    ![X4 : $tType, X5 : $tType, X7 : X4 > $o, X9 : X4 > X5, X10 : X4]:
10.58/10.76	      (~ 'const/sets/IN'(X4, X10, X7)
10.58/10.76	       | 'const/sets/IN'(X5, X9(X10), 'const/sets/IMAGE'(X4, X5, X9, X7))),
10.58/10.76	    inference('simplify', [status(thm)], ['17'])).
10.58/10.76	tff('19', plain,
10.58/10.76	    ![X4 : $tType, X5 : $tType, X7 : X4 > $o, X9 : X4 > X5, X10 : X4, 
10.58/10.76	      X11 : X4 > X5]:
10.58/10.76	      (X11 != X9
10.58/10.76	       | ~ 'const/sets/IN'(X4, X10, X7)
10.58/10.76	       | 'const/sets/IN'(X5, X9(X10), 'const/sets/IMAGE'(X4, X5, X11, X7))),
10.58/10.76	    inference('ho.purify_applied_variable', [status(thm)], ['18'])).
10.58/10.76	tff('20', plain,
10.58/10.76	    ![X0 : sk_A0, X1 : $tType, X2 : sk_A > X1, X3 : sk_A > X1]:
10.58/10.76	      (~ $true
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
10.58/10.76	       | 'const/sets/IN'(X1, X3(sk_A5(X0)), 
10.58/10.76	           'const/sets/IMAGE'(sk_A, X1, X2, sk_A21))
10.58/10.76	       | X2 != X3),
10.58/10.76	    inference('sup-', [status(thm)], ['16', '19'])).
10.58/10.76	tff('21', plain,
10.58/10.76	    ![X0 : sk_A0, X1 : $tType, X2 : sk_A > X1, X3 : sk_A > X1]:
10.58/10.76	      (X2 != X3
10.58/10.76	       | 'const/sets/IN'(X1, X3(sk_A5(X0)), 
10.58/10.76	           'const/sets/IMAGE'(sk_A, X1, X2, sk_A21))
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)),
10.58/10.76	    inference('simplify', [status(thm)], ['20'])).
10.58/10.76	tff('22', plain,
10.58/10.76	    ![X0 : sk_A0, X1 : sk_A > sk_A0]:
10.58/10.76	      ('const/sets/IN'(sk_A0, X0, 
10.58/10.76	         'const/sets/IMAGE'(sk_A, sk_A0, X1, sk_A21))
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
10.58/10.76	       | X1 != sk_A1),
10.58/10.76	    inference('sup+', [status(thm)], ['13', '21'])).
10.58/10.76	tff('23', plain,
10.58/10.76	    ![X0 : sk_A0, X1 : sk_A > sk_A0]:
10.58/10.76	      (X1 != sk_A1
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
10.58/10.76	       | 'const/sets/IN'(sk_A0, X0, 
10.58/10.76	           'const/sets/IMAGE'(sk_A, sk_A0, X1, sk_A21))),
10.58/10.76	    inference('simplify', [status(thm)], ['22'])).
10.58/10.76	tff('24', plain,
10.58/10.76	    ![X11 : $tType, X14 : X11 > $o, X16 : X11 > $o]:
10.58/10.76	      (X14 = X16
10.58/10.76	       | ~ 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X16)
10.58/10.76	       | ~ 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X14)),
10.58/10.76	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
10.58/10.76	tff('25', plain,
10.58/10.76	    ![X0 : sk_A > sk_A0, X1 : sk_A0 > $o]:
10.58/10.76	      (~ $true
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, 
10.58/10.76	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), 
10.58/10.76	             sk_A31)
10.58/10.76	       | X0 != sk_A1
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, 
10.58/10.76	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), 
10.58/10.76	             X1)
10.58/10.76	       | X1 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)),
10.58/10.76	    inference('sup-', [status(thm)], ['23', '24'])).
10.58/10.76	tff('26', plain,
10.58/10.76	    ![X0 : sk_A > sk_A0, X1 : sk_A0 > $o]:
10.58/10.76	      (X1 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, 
10.58/10.76	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), 
10.58/10.76	             X1)
10.58/10.76	       | X0 != sk_A1
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, 
10.58/10.76	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), 
10.58/10.76	             sk_A31)),
10.58/10.76	    inference('simplify', [status(thm)], ['25'])).
10.58/10.76	tff('27', plain,
10.58/10.76	    ![X0 : sk_A > sk_A0]:
10.58/10.76	      (~ $true
10.58/10.76	       | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)
10.58/10.76	       | X0 != sk_A1
10.58/10.76	       | ~ 'const/sets/IN'(sk_A0, 
10.58/10.76	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), 
10.58/10.76	               sk_A31), sk_A31)
10.58/10.76	       | X0 != sk_A1
10.58/10.76	       | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)),
10.58/10.76	    inference('sup-', [status(thm)], ['12', '26'])).
10.58/10.76	tff('28', plain,
10.58/10.76	    ![X0 : sk_A > sk_A0]:
10.58/10.76	      (~ 'const/sets/IN'(sk_A0, 
10.58/10.76	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), sk_A31), 
10.58/10.76	           sk_A31)
10.58/10.76	       | X0 != sk_A1
10.58/10.76	       | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)),
10.58/10.76	    inference('simplify', [status(thm)], ['27'])).
10.58/10.76	tff('29', plain,
10.58/10.76	    ![X0 : sk_A > sk_A0]:
10.58/10.76	      (sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21) | X0 != sk_A1),
10.58/10.76	    inference('clc', [status(thm)], ['28', '12'])).
10.58/10.76	tff('30', plain, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21) != sk_A31,
10.58/10.76	    inference('cnf', [status(esa)], [zf_stmt_0])).
10.58/10.76	tff('31', plain, (sk_A31 != sk_A31 | sk_A1 != sk_A1),
10.58/10.76	    inference('sup-', [status(thm)], ['29', '30'])).
10.58/10.76	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
10.58/10.76	
10.58/10.76	% SZS output end Refutation
10.58/10.77	EOF
