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    : kbo
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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --sup-at-vars \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n110.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:26:54 CST 2018
0.73/0.94	% done 248 iterations in 0.735s
0.73/0.94	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.73/0.94	% SZS output start Refutation
0.73/0.94	tff('thm/sets/UNION_IDEMPOT_', conjecture,
0.73/0.94	  (![A:$tType,A0:(A > $o)]: ('const/sets/UNION'(A,A0,A0) = A0))).
0.73/0.94	tff(zf_stmt_0, negated_conjecture,
0.73/0.94	  (~(![A:$tType,A0:(A > $o)]: ('const/sets/UNION'(A,A0,A0) = A0)))).
0.73/0.94	tff('0', plain, 'const/sets/UNION'(sk_A, sk_A0, sk_A0) != sk_A0,
0.73/0.94	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.73/0.94	tff('thm/sets/EXTENSION_', axiom,
0.73/0.94	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.73/0.94	     ((A0 = A1) <=>
0.73/0.94	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
0.73/0.94	tff('1', plain,
0.73/0.94	    ![X9 : $tType, X12 : X9 > $o, X14 : X9 > $o]:
0.73/0.94	      (X12 = X14
0.73/0.94	       | 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X14)
0.73/0.94	       | 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X12)),
0.73/0.94	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
0.73/0.94	tff('thm/sets/IN_UNION_', axiom,
0.73/0.94	  (![A:$tType,A0:(A > $o),A1:(A > $o),A2:A]:
0.73/0.94	     ('const/sets/IN'(A,A2,'const/sets/UNION'(A,A0,A1)) <=>
0.73/0.94	      ('const/sets/IN'(A,A2,A1) | 'const/sets/IN'(A,A2,A0))))).
0.73/0.94	tff('2', plain,
0.73/0.94	    ![X4 : $tType, X5 : X4, X6 : X4 > $o, X7 : X4 > $o]:
0.73/0.94	      ('const/sets/IN'(X4, X5, X6)
0.73/0.94	       | 'const/sets/IN'(X4, X5, X7)
0.73/0.94	       | ~ 'const/sets/IN'(X4, X5, 'const/sets/UNION'(X4, X6, X7))),
0.73/0.94	    inference('cnf', [status(esa)], [thm/sets/IN_UNION_])).
0.73/0.94	tff('3', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.73/0.94	      (~ $true
0.73/0.94	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), 
0.73/0.94	           X3)
0.73/0.94	       | X3 = 'const/sets/UNION'(X0, X2, X1)
0.73/0.94	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), 
0.73/0.94	           X1)
0.73/0.94	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), 
0.73/0.94	           X2)),
0.73/0.94	    inference('sup-', [status(thm)], ['1', '2'])).
0.73/0.94	tff('4', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.73/0.94	      ('const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), X2)
0.73/0.94	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), 
0.73/0.94	           X1)
0.73/0.94	       | X3 = 'const/sets/UNION'(X0, X2, X1)
0.73/0.94	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), 
0.73/0.94	           X3)),
0.73/0.94	    inference('simplify', [status(thm)], ['3'])).
0.73/0.94	tff('5', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.73/0.94	      (~ $true
0.73/0.94	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X2), 
0.73/0.94	           X2)
0.73/0.94	       | X2 = 'const/sets/UNION'(X0, X1, X1)
0.73/0.94	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X2), 
0.73/0.94	           X1)),
0.73/0.94	    inference('eq_fact', [status(thm)], ['4'])).
0.73/0.94	tff('6', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.73/0.94	      ('const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X2), X1)
0.73/0.94	       | X2 = 'const/sets/UNION'(X0, X1, X1)
0.73/0.94	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X2), 
0.73/0.94	           X2)),
0.73/0.94	    inference('simplify', [status(thm)], ['5'])).
0.73/0.94	tff('7', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o]:
0.73/0.94	      (~ $true
0.73/0.94	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X1), 
0.73/0.94	           X1)
0.73/0.94	       | X1 = 'const/sets/UNION'(X0, X1, X1)),
0.73/0.94	    inference('eq_fact', [status(thm)], ['6'])).
0.73/0.94	tff('8', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o]:
0.73/0.94	      (X1 = 'const/sets/UNION'(X0, X1, X1)
0.73/0.94	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X1), 
0.73/0.94	           X1)),
0.73/0.94	    inference('simplify', [status(thm)], ['7'])).
0.73/0.94	tff('thm/sets/IN_', axiom,
0.73/0.94	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
0.73/0.94	tff('9', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
0.73/0.94	      (X1(X2) | ~ 'const/sets/IN'(X0, X2, X1)),
0.73/0.94	    inference('cnf', [status(esa)], [thm/sets/IN_])).
0.73/0.94	tff('10', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o]:
0.73/0.94	      (~ $true
0.73/0.94	       | X1 = 'const/sets/UNION'(X0, X1, X1)
0.73/0.94	       | X1(sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X1))),
0.73/0.94	    inference('sup-', [status(thm)], ['8', '9'])).
0.73/0.94	tff('11', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o]:
0.73/0.94	      (X1(sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X1))
0.73/0.94	       | X1 = 'const/sets/UNION'(X0, X1, X1)),
0.73/0.94	    inference('simplify', [status(thm)], ['10'])).
0.73/0.94	tff('12', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.73/0.94	      (~ $true
0.73/0.94	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
0.73/0.94	       | X2 = X1
0.73/0.94	       | X1(sk_A2(X0, X1, X2))),
0.73/0.94	    inference('sup-', [status(thm)], ['1', '9'])).
0.73/0.94	tff('13', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.73/0.94	      (X1(sk_A2(X0, X1, X2))
0.73/0.94	       | X2 = X1
0.73/0.94	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)),
0.73/0.94	    inference('simplify', [status(thm)], ['12'])).
0.73/0.94	tff('14', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.73/0.94	      (~ $true | X1 = X2 | X2(sk_A2(X0, X2, X1)) | X1(sk_A2(X0, X2, X1))),
0.73/0.94	    inference('sup-', [status(thm)], ['13', '9'])).
0.73/0.94	tff('15', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.73/0.94	      (X1(sk_A2(X0, X2, X1)) | X2(sk_A2(X0, X2, X1)) | X1 = X2),
0.73/0.94	    inference('simplify', [status(thm)], ['14'])).
0.73/0.94	tff('16', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X3 : X0]:
0.73/0.94	      ('const/sets/IN'(X0, X3, X1) | ~ X1(X3)),
0.73/0.94	    inference('cnf', [status(esa)], [thm/sets/IN_])).
0.73/0.94	tff('17', plain,
0.73/0.94	    ![X4 : $tType, X6 : X4 > $o, X7 : X4 > $o, X8 : X4]:
0.73/0.94	      ('const/sets/IN'(X4, X8, 'const/sets/UNION'(X4, X6, X7))
0.73/0.94	       | ~ 'const/sets/IN'(X4, X8, X7)),
0.73/0.94	    inference('cnf', [status(esa)], [thm/sets/IN_UNION_])).
0.73/0.94	tff('18', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0]:
0.73/0.94	      (~ $true
0.73/0.94	       | ~ 'const/sets/IN'(X0, X3, X1)
0.73/0.94	       | 'const/sets/UNION'(X0, X2, X1, X3)),
0.73/0.94	    inference('sup-', [status(thm)], ['17', '9'])).
0.73/0.94	tff('19', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0]:
0.73/0.94	      ('const/sets/UNION'(X0, X2, X1, X3) | ~ 'const/sets/IN'(X0, X3, X1)),
0.73/0.94	    inference('simplify', [status(thm)], ['18'])).
0.73/0.94	tff('20', plain,
0.73/0.94	    ![X9 : $tType, X12 : X9 > $o, X14 : X9 > $o]:
0.73/0.94	      (X12 = X14
0.73/0.94	       | ~ 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X14)
0.73/0.94	       | ~ 'const/sets/IN'(X9, sk_A2(X9, X14, X12), X12)),
0.73/0.94	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
0.73/0.94	tff('21', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.73/0.94	      (~ $true
0.73/0.94	       | ~ X1(sk_A2(X0, X1, X2))
0.73/0.94	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
0.73/0.94	       | X2 = X1),
0.73/0.94	    inference('sup-', [status(thm)], ['16', '20'])).
0.73/0.94	tff('22', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.73/0.94	      (X2 = X1
0.73/0.94	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
0.73/0.94	       | ~ X1(sk_A2(X0, X1, X2))),
0.73/0.94	    inference('simplify', [status(thm)], ['21'])).
0.73/0.94	tff('23', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.73/0.94	      (~ $true | ~ X1(sk_A2(X0, X2, X1)) | ~ X2(sk_A2(X0, X2, X1)) | X1 = X2),
0.73/0.94	    inference('sup-', [status(thm)], ['16', '22'])).
0.73/0.94	tff('24', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.73/0.94	      (X1 = X2 | ~ X2(sk_A2(X0, X2, X1)) | ~ X1(sk_A2(X0, X2, X1))),
0.73/0.94	    inference('simplify', [status(thm)], ['23'])).
0.73/0.94	tff('25', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.73/0.94	      (~ $true
0.73/0.94	       | ~ 'const/sets/IN'(X0, 
0.73/0.94	             sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), X1)
0.73/0.94	       | ~ X3(sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3))
0.73/0.94	       | X3 = 'const/sets/UNION'(X0, X2, X1)),
0.73/0.94	    inference('sup-', [status(thm)], ['19', '24'])).
0.73/0.94	tff('26', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.73/0.94	      (X3 = 'const/sets/UNION'(X0, X2, X1)
0.73/0.94	       | ~ X3(sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3))
0.73/0.94	       | ~ 'const/sets/IN'(X0, 
0.73/0.94	             sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), X1)),
0.73/0.94	    inference('simplify', [status(thm)], ['25'])).
0.73/0.94	tff('27', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.73/0.94	      (~ $true
0.73/0.94	       | ~ X1(sk_A2(X0, 'const/sets/UNION'(X0, X3, X1), X2))
0.73/0.94	       | ~ X2(sk_A2(X0, 'const/sets/UNION'(X0, X3, X1), X2))
0.73/0.94	       | X2 = 'const/sets/UNION'(X0, X3, X1)),
0.73/0.94	    inference('sup-', [status(thm)], ['16', '26'])).
0.73/0.94	tff('28', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.73/0.94	      (X2 = 'const/sets/UNION'(X0, X3, X1)
0.73/0.94	       | ~ X2(sk_A2(X0, 'const/sets/UNION'(X0, X3, X1), X2))
0.73/0.94	       | ~ X1(sk_A2(X0, 'const/sets/UNION'(X0, X3, X1), X2))),
0.73/0.94	    inference('simplify', [status(thm)], ['27'])).
0.73/0.94	tff('29', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.73/0.94	      (~ $true
0.73/0.94	       | X1 = 'const/sets/UNION'(X0, X3, X2)
0.73/0.94	       | 'const/sets/UNION'(X0, X3, X2, 
0.73/0.94	           sk_A2(X0, 'const/sets/UNION'(X0, X3, X2), X1))
0.73/0.94	       | ~ X2(sk_A2(X0, 'const/sets/UNION'(X0, X3, X2), X1))
0.73/0.94	       | X1 = 'const/sets/UNION'(X0, X3, X2)),
0.73/0.94	    inference('sup-', [status(thm)], ['15', '28'])).
0.73/0.94	tff('30', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.73/0.94	      (~ X2(sk_A2(X0, 'const/sets/UNION'(X0, X3, X2), X1))
0.73/0.94	       | 'const/sets/UNION'(X0, X3, X2, 
0.73/0.94	           sk_A2(X0, 'const/sets/UNION'(X0, X3, X2), X1))
0.73/0.94	       | X1 = 'const/sets/UNION'(X0, X3, X2)),
0.73/0.94	    inference('simplify', [status(thm)], ['29'])).
0.73/0.94	tff('31', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.73/0.94	      (~ $true
0.73/0.94	       | X3 = 'const/sets/UNION'(X0, X2, X1)
0.73/0.94	       | ~ X1(sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3))
0.73/0.94	       | ~ 'const/sets/IN'(X0, 
0.73/0.94	             sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), X3)
0.73/0.94	       | X3 = 'const/sets/UNION'(X0, X2, X1)),
0.73/0.94	    inference('sup-', [status(thm)], ['30', '22'])).
0.73/0.94	tff('32', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.73/0.94	      (~ 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3), 
0.73/0.94	           X3)
0.73/0.94	       | ~ X1(sk_A2(X0, 'const/sets/UNION'(X0, X2, X1), X3))
0.73/0.94	       | X3 = 'const/sets/UNION'(X0, X2, X1)),
0.73/0.94	    inference('simplify', [status(thm)], ['31'])).
0.73/0.94	tff('33', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o]:
0.73/0.94	      (~ $true
0.73/0.94	       | X1 = 'const/sets/UNION'(X0, X1, X1)
0.73/0.94	       | X1 = 'const/sets/UNION'(X0, X1, X1)
0.73/0.94	       | ~ X1(sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X1))),
0.73/0.94	    inference('sup-', [status(thm)], ['8', '32'])).
0.73/0.94	tff('34', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o]:
0.73/0.94	      (~ X1(sk_A2(X0, 'const/sets/UNION'(X0, X1, X1), X1))
0.73/0.94	       | X1 = 'const/sets/UNION'(X0, X1, X1)),
0.73/0.94	    inference('simplify', [status(thm)], ['33'])).
0.73/0.94	tff('35', plain,
0.73/0.94	    ![X0 : $tType, X1 : X0 > $o]: X1 = 'const/sets/UNION'(X0, X1, X1),
0.73/0.94	    inference('clc', [status(thm)], ['11', '34'])).
0.73/0.94	tff('36', plain, sk_A0 != sk_A0,
0.73/0.94	    inference('demod', [status(thm)], ['0', '35'])).
0.73/0.94	tff('37', plain, $false, inference('simplify', [status(thm)], ['36'])).
0.73/0.94	
0.73/0.94	% SZS output end Refutation
0.73/0.94	EOF
