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    : purification_ext
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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --ho-purify ext \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n029.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:31:53 CST 2018
12.20/12.44	% done 1401 iterations in 12.237s
12.20/12.44	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
12.20/12.44	% SZS output start Refutation
12.20/12.44	tff('thm/sets/EXTENSION_', axiom,
12.20/12.44	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
12.20/12.44	     ((A0 = A1) <=>
12.20/12.44	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
12.20/12.44	tff('0', plain,
12.20/12.44	    ![X11 : $tType, X14 : X11 > $o, X16 : X11 > $o]:
12.20/12.44	      (X14 = X16
12.20/12.44	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X16)
12.20/12.44	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X14)),
12.20/12.44	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
12.20/12.44	tff('thm/sets/IN_IMAGE_', axiom,
12.20/12.44	  (![B:$tType,A:$tType,A0:B,A1:(A > $o),A2:(A > B)]:
12.20/12.44	     ('const/sets/IN'(B,A0,'const/sets/IMAGE'(A,B,A2,A1)) <=>
12.20/12.44	      (?[A3:A]: ('const/sets/IN'(A,A3,A1) & (A0 = A2(A3))))))).
12.20/12.44	tff('1', plain,
12.20/12.44	    ![X4 : $tType, X5 : $tType, X6 : X4 > X5, X7 : X4 > $o, X8 : X5]:
12.20/12.44	      (X8 = X6(sk_A3(X4, X5, X6, X7, X8))
12.20/12.44	       | ~ 'const/sets/IN'(X5, X8, 'const/sets/IMAGE'(X4, X5, X6, X7))),
12.20/12.44	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
12.20/12.44	tff('2', plain,
12.20/12.44	    ![X4 : $tType, X5 : $tType, X6 : X4 > X5, X7 : X4 > $o, X8 : X5, 
12.20/12.44	      X9 : X4 > X5]:
12.20/12.44	      (X9 != X6
12.20/12.44	       | X8 = X6(sk_A3(X4, X5, X9, X7, X8))
12.20/12.44	       | ~ 'const/sets/IN'(X5, X8, 'const/sets/IMAGE'(X4, X5, X9, X7))),
12.20/12.44	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
12.20/12.44	tff('3', plain,
12.20/12.44	    ![X4 : $tType, X5 : $tType, X6 : X4 > X5, X7 : X4 > $o, X8 : X5]:
12.20/12.44	      ('const/sets/IN'(X4, sk_A3(X4, X5, X6, X7, X8), X7)
12.20/12.44	       | ~ 'const/sets/IN'(X5, X8, 'const/sets/IMAGE'(X4, X5, X6, X7))),
12.20/12.44	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
12.20/12.44	tff('thm/sets/SURJECTIVE_IMAGE_EQ_', conjecture,
12.20/12.44	  (![A:$tType,A0:$tType,A1:(A > A0),A2:(A > $o),A3:(A0 > $o)]:
12.20/12.44	     (((![A4:A]: ('const/sets/IN'(A0,A1(A4),A3) <=> 'const/sets/IN'(A,A4,A2))) & 
12.20/12.44	       (![A4:A0]: ('const/sets/IN'(A0,A4,A3) => (?[A5:A]: (A1(A5) = A4))))) =>
12.20/12.44	      ('const/sets/IMAGE'(A,A0,A1,A2) = A3)))).
12.20/12.44	tff(zf_stmt_0, negated_conjecture,
12.20/12.44	  (~
12.20/12.44	    (![A:$tType,A0:$tType,A1:(A > A0),A2:(A > $o),A3:(A0 > $o)]:
12.20/12.44	       (((![A4:A]:
12.20/12.44	            ('const/sets/IN'(A0,A1(A4),A3) <=> 'const/sets/IN'(A,A4,A2))) & 
12.20/12.44	         (![A4:A0]: ('const/sets/IN'(A0,A4,A3) => (?[A5:A]: (A1(A5) = A4))))) =>
12.20/12.44	        ('const/sets/IMAGE'(A,A0,A1,A2) = A3))))).
12.20/12.44	tff('4', plain,
12.20/12.44	    ![X17 : sk_A]:
12.20/12.44	      ('const/sets/IN'(sk_A0, sk_A1(X17), sk_A31)
12.20/12.44	       | ~ 'const/sets/IN'(sk_A, X17, sk_A21)),
12.20/12.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
12.20/12.44	tff('5', plain,
12.20/12.44	    ![X0 : $tType, X1 : X0, X2 : sk_A > X0]:
12.20/12.44	      (~ $true
12.20/12.44	       | ~ 'const/sets/IN'(X0, X1, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A21))
12.20/12.44	       | 'const/sets/IN'(sk_A0, sk_A1(sk_A3(sk_A, X0, X2, sk_A21, X1)), 
12.20/12.44	           sk_A31)),
12.20/12.44	    inference('sup-', [status(thm)], ['3', '4'])).
12.20/12.44	tff('6', plain,
12.20/12.44	    ![X0 : $tType, X1 : X0, X2 : sk_A > X0]:
12.20/12.44	      ('const/sets/IN'(sk_A0, sk_A1(sk_A3(sk_A, X0, X2, sk_A21, X1)), sk_A31)
12.20/12.44	       | ~ 'const/sets/IN'(X0, X1, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A21))),
12.20/12.44	    inference('simplify', [status(thm)], ['5'])).
12.20/12.44	tff('7', plain,
12.20/12.44	    ![X0 : sk_A0, X1 : sk_A > sk_A0]:
12.20/12.44	      ('const/sets/IN'(sk_A0, X0, sk_A31)
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, X0, 
12.20/12.44	             'const/sets/IMAGE'(sk_A, sk_A0, X1, sk_A21))
12.20/12.44	       | X1 != sk_A1
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, X0, 
12.20/12.44	             'const/sets/IMAGE'(sk_A, sk_A0, X1, sk_A21))),
12.20/12.44	    inference('sup+', [status(thm)], ['2', '6'])).
12.20/12.44	tff('8', plain,
12.20/12.44	    ![X0 : sk_A0, X1 : sk_A > sk_A0]:
12.20/12.44	      (X1 != sk_A1
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, X0, 
12.20/12.44	             'const/sets/IMAGE'(sk_A, sk_A0, X1, sk_A21))
12.20/12.44	       | 'const/sets/IN'(sk_A0, X0, sk_A31)),
12.20/12.44	    inference('simplify', [status(thm)], ['7'])).
12.20/12.44	tff('9', plain,
12.20/12.44	    ![X0 : sk_A > sk_A0, X1 : sk_A0 > $o]:
12.20/12.44	      (~ $true
12.20/12.44	       | 'const/sets/IN'(sk_A0, 
12.20/12.44	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), X1)
12.20/12.44	       | X1 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)
12.20/12.44	       | 'const/sets/IN'(sk_A0, 
12.20/12.44	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), 
12.20/12.44	           sk_A31)
12.20/12.44	       | X0 != sk_A1),
12.20/12.44	    inference('sup-', [status(thm)], ['0', '8'])).
12.20/12.44	tff('10', plain,
12.20/12.44	    ![X0 : sk_A > sk_A0, X1 : sk_A0 > $o]:
12.20/12.44	      (X0 != sk_A1
12.20/12.44	       | 'const/sets/IN'(sk_A0, 
12.20/12.44	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), 
12.20/12.44	           sk_A31)
12.20/12.44	       | X1 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)
12.20/12.44	       | 'const/sets/IN'(sk_A0, 
12.20/12.44	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), X1)),
12.20/12.44	    inference('simplify', [status(thm)], ['9'])).
12.20/12.44	tff('11', plain,
12.20/12.44	    ![X0 : sk_A > sk_A0]:
12.20/12.44	      (~ $true
12.20/12.44	       | 'const/sets/IN'(sk_A0, 
12.20/12.44	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), sk_A31), 
12.20/12.44	           sk_A31)
12.20/12.44	       | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)
12.20/12.44	       | X0 != sk_A1),
12.20/12.44	    inference('eq_fact', [status(thm)], ['10'])).
12.20/12.44	tff('12', plain,
12.20/12.44	    ![X0 : sk_A > sk_A0]:
12.20/12.44	      (X0 != sk_A1
12.20/12.44	       | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)
12.20/12.44	       | 'const/sets/IN'(sk_A0, 
12.20/12.44	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), sk_A31), 
12.20/12.44	           sk_A31)),
12.20/12.44	    inference('simplify', [status(thm)], ['11'])).
12.20/12.44	tff('13', plain,
12.20/12.44	    ![X19 : sk_A0]:
12.20/12.44	      (sk_A1(sk_A5(X19)) = X19 | ~ 'const/sets/IN'(sk_A0, X19, sk_A31)),
12.20/12.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
12.20/12.44	tff('14', plain,
12.20/12.44	    ![X18 : sk_A]:
12.20/12.44	      ('const/sets/IN'(sk_A, X18, sk_A21)
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, sk_A1(X18), sk_A31)),
12.20/12.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
12.20/12.44	tff('15', plain,
12.20/12.44	    ![X0 : sk_A0]:
12.20/12.44	      (~ 'const/sets/IN'(sk_A0, X0, sk_A31)
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
12.20/12.44	       | 'const/sets/IN'(sk_A, sk_A5(X0), sk_A21)),
12.20/12.44	    inference('sup-', [status(thm)], ['13', '14'])).
12.20/12.44	tff('16', plain,
12.20/12.44	    ![X0 : sk_A0]:
12.20/12.44	      ('const/sets/IN'(sk_A, sk_A5(X0), sk_A21)
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)),
12.20/12.44	    inference('simplify', [status(thm)], ['15'])).
12.20/12.44	tff('17', plain,
12.20/12.44	    ![X4 : $tType, X5 : $tType, X7 : X4 > $o, X8 : X5, X9 : X4 > X5, X10 : X4]:
12.20/12.44	      ('const/sets/IN'(X5, X8, 'const/sets/IMAGE'(X4, X5, X9, X7))
12.20/12.44	       | X8 != X9(X10)
12.20/12.44	       | ~ 'const/sets/IN'(X4, X10, X7)),
12.20/12.44	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
12.20/12.44	tff('18', plain,
12.20/12.44	    ![X4 : $tType, X5 : $tType, X7 : X4 > $o, X9 : X4 > X5, X10 : X4]:
12.20/12.44	      (~ 'const/sets/IN'(X4, X10, X7)
12.20/12.44	       | 'const/sets/IN'(X5, X9(X10), 'const/sets/IMAGE'(X4, X5, X9, X7))),
12.20/12.44	    inference('simplify', [status(thm)], ['17'])).
12.20/12.44	tff('19', plain,
12.20/12.44	    ![X4 : $tType, X5 : $tType, X7 : X4 > $o, X9 : X4 > X5, X10 : X4, 
12.20/12.44	      X11 : X4 > X5]:
12.20/12.44	      (X11 != X9
12.20/12.44	       | ~ 'const/sets/IN'(X4, X10, X7)
12.20/12.44	       | 'const/sets/IN'(X5, X9(X10), 'const/sets/IMAGE'(X4, X5, X11, X7))),
12.20/12.44	    inference('ho.purify_applied_variable', [status(thm)], ['18'])).
12.20/12.44	tff('20', plain,
12.20/12.44	    ![X0 : sk_A0, X1 : $tType, X2 : sk_A > X1, X3 : sk_A > X1]:
12.20/12.44	      (~ $true
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
12.20/12.44	       | 'const/sets/IN'(X1, X3(sk_A5(X0)), 
12.20/12.44	           'const/sets/IMAGE'(sk_A, X1, X2, sk_A21))
12.20/12.44	       | X2 != X3),
12.20/12.44	    inference('sup-', [status(thm)], ['16', '19'])).
12.20/12.44	tff('21', plain,
12.20/12.44	    ![X0 : sk_A0, X1 : $tType, X2 : sk_A > X1, X3 : sk_A > X1]:
12.20/12.44	      (X2 != X3
12.20/12.44	       | 'const/sets/IN'(X1, X3(sk_A5(X0)), 
12.20/12.44	           'const/sets/IMAGE'(sk_A, X1, X2, sk_A21))
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)),
12.20/12.44	    inference('simplify', [status(thm)], ['20'])).
12.20/12.44	tff('22', plain,
12.20/12.44	    ![X0 : sk_A0, X1 : sk_A > sk_A0]:
12.20/12.44	      ('const/sets/IN'(sk_A0, X0, 
12.20/12.44	         'const/sets/IMAGE'(sk_A, sk_A0, X1, sk_A21))
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
12.20/12.44	       | X1 != sk_A1),
12.20/12.44	    inference('sup+', [status(thm)], ['13', '21'])).
12.20/12.44	tff('23', plain,
12.20/12.44	    ![X0 : sk_A0, X1 : sk_A > sk_A0]:
12.20/12.44	      (X1 != sk_A1
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A31)
12.20/12.44	       | 'const/sets/IN'(sk_A0, X0, 
12.20/12.44	           'const/sets/IMAGE'(sk_A, sk_A0, X1, sk_A21))),
12.20/12.44	    inference('simplify', [status(thm)], ['22'])).
12.20/12.44	tff('24', plain,
12.20/12.44	    ![X11 : $tType, X14 : X11 > $o, X16 : X11 > $o]:
12.20/12.44	      (X14 = X16
12.20/12.44	       | ~ 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X16)
12.20/12.44	       | ~ 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X14)),
12.20/12.44	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
12.20/12.44	tff('25', plain,
12.20/12.44	    ![X0 : sk_A > sk_A0, X1 : sk_A0 > $o]:
12.20/12.44	      (~ $true
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, 
12.20/12.44	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), 
12.20/12.44	             sk_A31)
12.20/12.44	       | X0 != sk_A1
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, 
12.20/12.44	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), 
12.20/12.44	             X1)
12.20/12.44	       | X1 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)),
12.20/12.44	    inference('sup-', [status(thm)], ['23', '24'])).
12.20/12.44	tff('26', plain,
12.20/12.44	    ![X0 : sk_A > sk_A0, X1 : sk_A0 > $o]:
12.20/12.44	      (X1 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, 
12.20/12.44	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), 
12.20/12.44	             X1)
12.20/12.44	       | X0 != sk_A1
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, 
12.20/12.44	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), X1), 
12.20/12.44	             sk_A31)),
12.20/12.44	    inference('simplify', [status(thm)], ['25'])).
12.20/12.44	tff('27', plain,
12.20/12.44	    ![X0 : sk_A > sk_A0]:
12.20/12.44	      (~ $true
12.20/12.44	       | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)
12.20/12.44	       | X0 != sk_A1
12.20/12.44	       | ~ 'const/sets/IN'(sk_A0, 
12.20/12.44	             sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), 
12.20/12.44	               sk_A31), sk_A31)
12.20/12.44	       | X0 != sk_A1
12.20/12.44	       | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)),
12.20/12.44	    inference('sup-', [status(thm)], ['12', '26'])).
12.20/12.44	tff('28', plain,
12.20/12.44	    ![X0 : sk_A > sk_A0]:
12.20/12.44	      (~ 'const/sets/IN'(sk_A0, 
12.20/12.44	           sk_A2(sk_A0, 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21), sk_A31), 
12.20/12.44	           sk_A31)
12.20/12.44	       | X0 != sk_A1
12.20/12.44	       | sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21)),
12.20/12.44	    inference('simplify', [status(thm)], ['27'])).
12.20/12.44	tff('29', plain,
12.20/12.44	    ![X0 : sk_A > sk_A0]:
12.20/12.44	      (sk_A31 = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21) | X0 != sk_A1),
12.20/12.44	    inference('clc', [status(thm)], ['28', '12'])).
12.20/12.44	tff('30', plain,
12.20/12.44	    ![X0 : sk_A > sk_A0, X1 : sk_A0]:
12.20/12.44	      (sk_A31(X1) = 'const/sets/IMAGE'(sk_A, sk_A0, X0, sk_A21, X1)
12.20/12.44	       | X0 != sk_A1),
12.20/12.44	    inference('ho_complete_eq', [status(thm)], ['29'])).
12.20/12.44	tff('31', plain, 'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21) != sk_A31,
12.20/12.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
12.20/12.44	tff('32', plain,
12.20/12.44	    'const/sets/IMAGE'(sk_A, sk_A0, sk_A1, sk_A21, '#k1') != sk_A31('#k1'),
12.20/12.44	    inference('rw_lit', [status(thm)], ['31'])).
12.20/12.44	tff('33', plain, (sk_A31('#k1') != sk_A31('#k1') | sk_A1 != sk_A1),
12.20/12.44	    inference('sup-', [status(thm)], ['30', '32'])).
12.20/12.44	tff('34', plain, $false, inference('simplify', [status(thm)], ['33'])).
12.20/12.44	
12.20/12.44	% SZS output end Refutation
12.20/12.45	EOF
