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    : supatvars_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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n078.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:27:08 CST 2018
0.37/0.58	% done 386 iterations in 0.387s
0.37/0.58	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.37/0.58	% SZS output start Refutation
0.37/0.58	tff('thm/sets/EXTENSION_', axiom,
0.37/0.58	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.37/0.58	     ((A0 = A1) <=>
0.37/0.58	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
0.37/0.58	tff('0', plain,
0.37/0.58	    ![X4 : $tType, X7 : X4 > $o, X9 : X4 > $o]:
0.37/0.58	      (X7 = X9
0.37/0.58	       | 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X9)
0.37/0.58	       | 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X7)),
0.37/0.58	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
0.37/0.58	tff('thm/sets/IN_', axiom,
0.37/0.58	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
0.37/0.58	tff('1', plain,
0.37/0.58	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
0.37/0.58	      (X1(X2) | ~ 'const/sets/IN'(X0, X2, X1)),
0.37/0.58	    inference('cnf', [status(esa)], [thm/sets/IN_])).
0.37/0.58	tff('2', plain,
0.37/0.58	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.37/0.58	      (~ $true
0.37/0.58	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
0.37/0.58	       | X2 = X1
0.37/0.58	       | X1(sk_A2(X0, X1, X2))),
0.37/0.58	    inference('sup-', [status(thm)], ['0', '1'])).
0.37/0.58	tff('3', plain,
0.37/0.58	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.37/0.58	      (X1(sk_A2(X0, X1, X2))
0.37/0.58	       | X2 = X1
0.37/0.58	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)),
0.37/0.58	    inference('simplify', [status(thm)], ['2'])).
0.37/0.58	tff('thm/sets/PSUBSET_SUBSET_TRANS_', conjecture,
0.37/0.58	  (![A:$tType,A0:(A > $o),A1:(A > $o),A2:(A > $o)]:
0.37/0.58	     (('const/sets/SUBSET'(A,A1,A2) & 'const/sets/PSUBSET'(A,A0,A1)) =>
0.37/0.58	      'const/sets/PSUBSET'(A,A0,A2)))).
0.37/0.58	tff(zf_stmt_0, negated_conjecture,
0.37/0.58	  (~
0.37/0.58	    (![A:$tType,A0:(A > $o),A1:(A > $o),A2:(A > $o)]:
0.37/0.58	       (('const/sets/SUBSET'(A,A1,A2) & 'const/sets/PSUBSET'(A,A0,A1)) =>
0.37/0.58	        'const/sets/PSUBSET'(A,A0,A2))))).
0.37/0.58	tff('4', plain, 'const/sets/SUBSET'(sk_A, sk_A1, sk_A22),
0.37/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.37/0.58	tff('thm/sets/PSUBSET_', axiom,
0.37/0.58	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.37/0.58	     ('const/sets/PSUBSET'(A,A0,A1) <=>
0.37/0.58	      ((A0 != A1) & 'const/sets/SUBSET'(A,A0,A1))))).
0.37/0.58	tff('5', plain,
0.37/0.58	    ![X15 : $tType, X17 : X15 > $o, X18 : X15 > $o]:
0.37/0.58	      ('const/sets/PSUBSET'(X15, X17, X18)
0.37/0.58	       | ~ 'const/sets/SUBSET'(X15, X17, X18)
0.37/0.58	       | X17 = X18),
0.37/0.58	    inference('cnf', [status(esa)], [thm/sets/PSUBSET_])).
0.37/0.58	tff('6', plain, ~ 'const/sets/PSUBSET'(sk_A, sk_A0, sk_A22),
0.37/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.37/0.58	tff('7', plain,
0.37/0.58	    (~ $true | sk_A0 = sk_A22 | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)),
0.37/0.58	    inference('sup-', [status(thm)], ['5', '6'])).
0.37/0.58	tff('thm/sets/SUBSET_', axiom,
0.37/0.58	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.37/0.58	     ('const/sets/SUBSET'(A,A0,A1) <=>
0.37/0.58	      (![A2:A]: ('const/sets/IN'(A,A2,A0) => 'const/sets/IN'(A,A2,A1)))))).
0.37/0.58	tff('8', plain,
0.37/0.58	    ![X10 : $tType, X12 : X10 > $o, X14 : X10 > $o]:
0.37/0.58	      ('const/sets/SUBSET'(X10, X12, X14)
0.37/0.58	       | 'const/sets/IN'(X10, sk_A21(X10, X14, X12), X12)),
0.37/0.58	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
0.37/0.58	tff('9', plain, 'const/sets/PSUBSET'(sk_A, sk_A0, sk_A1),
0.37/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.37/0.58	tff('10', plain,
0.37/0.58	    ![X15 : $tType, X16 : X15 > $o, X17 : X15 > $o]:
0.37/0.58	      ('const/sets/SUBSET'(X15, X17, X16)
0.37/0.58	       | ~ 'const/sets/PSUBSET'(X15, X17, X16)),
0.37/0.58	    inference('cnf', [status(esa)], [thm/sets/PSUBSET_])).
0.37/0.58	tff('11', plain, (~ $true | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)),
0.37/0.58	    inference('sup-', [status(thm)], ['9', '10'])).
0.37/0.58	tff('12', plain, 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1),
0.37/0.58	    inference('simplify', [status(thm)], ['11'])).
0.37/0.58	tff('13', plain,
0.37/0.58	    ![X10 : $tType, X11 : X10, X12 : X10 > $o, X13 : X10 > $o]:
0.37/0.58	      (~ 'const/sets/IN'(X10, X11, X12)
0.37/0.58	       | 'const/sets/IN'(X10, X11, X13)
0.37/0.58	       | ~ 'const/sets/SUBSET'(X10, X12, X13)),
0.37/0.58	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
0.37/0.58	tff('14', plain,
0.37/0.58	    ![X0 : sk_A]:
0.37/0.58	      (~ $true
0.37/0.58	       | 'const/sets/IN'(sk_A, X0, sk_A1)
0.37/0.58	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
0.37/0.58	    inference('sup-', [status(thm)], ['12', '13'])).
0.37/0.58	tff('15', plain,
0.37/0.58	    ![X0 : sk_A]:
0.37/0.58	      (~ 'const/sets/IN'(sk_A, X0, sk_A0) | 'const/sets/IN'(sk_A, X0, sk_A1)),
0.37/0.58	    inference('simplify', [status(thm)], ['14'])).
0.37/0.58	tff('16', plain,
0.37/0.58	    ![X0 : sk_A]:
0.37/0.58	      (~ $true
0.37/0.58	       | 'const/sets/IN'(sk_A, X0, sk_A22)
0.37/0.58	       | ~ 'const/sets/IN'(sk_A, X0, sk_A1)),
0.37/0.58	    inference('sup-', [status(thm)], ['4', '13'])).
0.37/0.58	tff('17', plain,
0.37/0.58	    ![X0 : sk_A]:
0.37/0.58	      (~ 'const/sets/IN'(sk_A, X0, sk_A1) | 'const/sets/IN'(sk_A, X0, sk_A22)),
0.37/0.58	    inference('simplify', [status(thm)], ['16'])).
0.37/0.58	tff('18', plain,
0.37/0.58	    ![X10 : $tType, X12 : X10 > $o, X14 : X10 > $o]:
0.37/0.58	      ('const/sets/SUBSET'(X10, X12, X14)
0.37/0.58	       | ~ 'const/sets/IN'(X10, sk_A21(X10, X14, X12), X14)),
0.37/0.58	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
0.37/0.58	tff('19', plain,
0.37/0.58	    ![X0 : sk_A > $o]:
0.37/0.58	      (~ $true
0.37/0.58	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), sk_A1)
0.37/0.58	       | 'const/sets/SUBSET'(sk_A, X0, sk_A22)),
0.37/0.58	    inference('sup-', [status(thm)], ['17', '18'])).
0.37/0.58	tff('20', plain,
0.37/0.58	    ![X0 : sk_A > $o]:
0.37/0.58	      ('const/sets/SUBSET'(sk_A, X0, sk_A22)
0.37/0.58	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), sk_A1)),
0.37/0.58	    inference('simplify', [status(thm)], ['19'])).
0.37/0.58	tff('21', plain,
0.37/0.58	    ![X0 : sk_A > $o]:
0.37/0.58	      (~ $true
0.37/0.58	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), sk_A0)
0.37/0.58	       | 'const/sets/SUBSET'(sk_A, X0, sk_A22)),
0.37/0.58	    inference('sup-', [status(thm)], ['15', '20'])).
0.37/0.58	tff('22', plain,
0.37/0.58	    ![X0 : sk_A > $o]:
0.37/0.58	      ('const/sets/SUBSET'(sk_A, X0, sk_A22)
0.37/0.58	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), sk_A0)),
0.37/0.58	    inference('simplify', [status(thm)], ['21'])).
0.37/0.58	tff('23', plain,
0.37/0.58	    (~ $true
0.37/0.58	     | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)
0.37/0.58	     | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)),
0.37/0.58	    inference('sup-', [status(thm)], ['8', '22'])).
0.37/0.58	tff('24', plain, 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22),
0.37/0.58	    inference('simplify', [status(thm)], ['23'])).
0.37/0.58	tff('25', plain, (~ $true | sk_A0 = sk_A22 | ~ $true),
0.37/0.58	    inference('demod', [status(thm)], ['7', '24'])).
0.37/0.58	tff('26', plain, sk_A0 = sk_A22, inference('simplify', [status(thm)], ['25'])).
0.37/0.58	tff('27', plain, 'const/sets/SUBSET'(sk_A, sk_A1, sk_A0),
0.37/0.58	    inference('demod', [status(thm)], ['4', '26'])).
0.37/0.58	tff('28', plain,
0.37/0.58	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0 > $o]:
0.37/0.58	      (~ $true
0.37/0.58	       | ~ 'const/sets/SUBSET'(X0, X3, X1)
0.37/0.58	       | ~ 'const/sets/IN'(X0, X2, X3)
0.37/0.58	       | X1(X2)),
0.37/0.58	    inference('sup-', [status(thm)], ['13', '1'])).
0.37/0.58	tff('29', plain,
0.37/0.58	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0 > $o]:
0.37/0.58	      (X1(X2)
0.37/0.58	       | ~ 'const/sets/IN'(X0, X2, X3)
0.37/0.58	       | ~ 'const/sets/SUBSET'(X0, X3, X1)),
0.37/0.58	    inference('simplify', [status(thm)], ['28'])).
0.37/0.58	tff('30', plain,
0.37/0.58	    ![X0 : sk_A]: (~ $true | ~ 'const/sets/IN'(sk_A, X0, sk_A1) | sk_A0(X0)),
0.37/0.58	    inference('sup-', [status(thm)], ['27', '29'])).
0.37/0.58	tff('31', plain,
0.37/0.58	    ![X0 : sk_A]: (sk_A0(X0) | ~ 'const/sets/IN'(sk_A, X0, sk_A1)),
0.37/0.58	    inference('simplify', [status(thm)], ['30'])).
0.37/0.58	tff('32', plain,
0.37/0.58	    ![X0 : sk_A > $o]:
0.37/0.58	      (~ $true
0.37/0.58	       | sk_A1 = X0
0.37/0.58	       | X0(sk_A2(sk_A, X0, sk_A1))
0.37/0.58	       | sk_A0(sk_A2(sk_A, X0, sk_A1))),
0.37/0.58	    inference('sup-', [status(thm)], ['3', '31'])).
0.37/0.58	tff('33', plain,
0.37/0.58	    ![X0 : sk_A > $o]:
0.37/0.58	      (sk_A0(sk_A2(sk_A, X0, sk_A1))
0.37/0.58	       | X0(sk_A2(sk_A, X0, sk_A1))
0.37/0.58	       | sk_A1 = X0),
0.37/0.58	    inference('simplify', [status(thm)], ['32'])).
0.37/0.58	tff('34', plain,
0.37/0.58	    (~ $true | sk_A1 = sk_A0 | sk_A0(sk_A2(sk_A, sk_A0, sk_A1))),
0.37/0.58	    inference('eq_fact', [status(thm)], ['33'])).
0.37/0.58	tff('35', plain, (sk_A0(sk_A2(sk_A, sk_A0, sk_A1)) | sk_A1 = sk_A0),
0.37/0.58	    inference('simplify', [status(thm)], ['34'])).
0.37/0.58	tff('36', plain,
0.37/0.58	    ![X15 : $tType, X16 : X15 > $o, X17 : X15 > $o]:
0.37/0.58	      (X17 != X16 | ~ 'const/sets/PSUBSET'(X15, X17, X16)),
0.37/0.58	    inference('cnf', [status(esa)], [thm/sets/PSUBSET_])).
0.37/0.58	tff('37', plain, (~ $true | sk_A0 != sk_A1),
0.37/0.58	    inference('sup-', [status(thm)], ['9', '36'])).
0.37/0.58	tff('38', plain, sk_A0 != sk_A1, inference('simplify', [status(thm)], ['37'])).
0.37/0.58	tff('39', plain, sk_A0(sk_A2(sk_A, sk_A0, sk_A1)),
0.37/0.58	    inference('simplify_reflect-', [status(thm)], ['35', '38'])).
0.37/0.58	tff('40', plain,
0.37/0.58	    ![X0 : $tType, X1 : X0 > $o, X3 : X0]:
0.37/0.58	      ('const/sets/IN'(X0, X3, X1) | ~ X1(X3)),
0.37/0.58	    inference('cnf', [status(esa)], [thm/sets/IN_])).
0.37/0.58	tff('41', plain,
0.37/0.58	    (~ $true | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), sk_A0)),
0.37/0.58	    inference('sup-', [status(thm)], ['39', '40'])).
0.37/0.58	tff('42', plain, 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), sk_A0),
0.37/0.58	    inference('simplify', [status(thm)], ['41'])).
0.37/0.58	tff('43', plain,
0.37/0.58	    ![X0 : sk_A, X1 : sk_A > $o]:
0.37/0.58	      (~ $true
0.37/0.58	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)
0.37/0.58	       | ~ 'const/sets/SUBSET'(sk_A, sk_A1, X1)
0.37/0.58	       | 'const/sets/IN'(sk_A, X0, X1)),
0.37/0.58	    inference('sup-', [status(thm)], ['15', '13'])).
0.37/0.58	tff('44', plain,
0.37/0.58	    ![X0 : sk_A, X1 : sk_A > $o]:
0.37/0.58	      ('const/sets/IN'(sk_A, X0, X1)
0.37/0.58	       | ~ 'const/sets/SUBSET'(sk_A, sk_A1, X1)
0.37/0.58	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
0.37/0.58	    inference('simplify', [status(thm)], ['43'])).
0.37/0.58	tff('45', plain,
0.37/0.58	    ![X0 : sk_A > $o]:
0.37/0.58	      (~ $true
0.37/0.58	       | ~ 'const/sets/SUBSET'(sk_A, sk_A1, X0)
0.37/0.58	       | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), X0)),
0.37/0.58	    inference('sup-', [status(thm)], ['42', '44'])).
0.37/0.58	tff('46', plain,
0.37/0.58	    ![X0 : sk_A > $o]:
0.37/0.58	      ('const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), X0)
0.37/0.58	       | ~ 'const/sets/SUBSET'(sk_A, sk_A1, X0)),
0.37/0.58	    inference('simplify', [status(thm)], ['45'])).
0.37/0.58	tff('47', plain,
0.37/0.58	    ![X4 : $tType, X7 : X4 > $o, X9 : X4 > $o]:
0.37/0.58	      (X7 = X9
0.37/0.58	       | ~ 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X9)
0.37/0.58	       | ~ 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X7)),
0.37/0.58	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
0.37/0.58	tff('48', plain,
0.37/0.58	    (~ $true
0.37/0.58	     | ~ 'const/sets/SUBSET'(sk_A, sk_A1, sk_A1)
0.37/0.58	     | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), sk_A0)
0.37/0.58	     | sk_A1 = sk_A0),
0.37/0.58	    inference('sup-', [status(thm)], ['46', '47'])).
0.37/0.58	tff('49', plain,
0.37/0.58	    ![X0 : $tType, X1 : X0 > $o]:
0.37/0.58	      (~ $true
0.37/0.58	       | 'const/sets/SUBSET'(X0, X1, X1)
0.37/0.58	       | 'const/sets/SUBSET'(X0, X1, X1)),
0.37/0.58	    inference('sup-', [status(thm)], ['8', '18'])).
0.37/0.58	tff('50', plain,
0.37/0.58	    ![X0 : $tType, X1 : X0 > $o]: 'const/sets/SUBSET'(X0, X1, X1),
0.37/0.58	    inference('simplify', [status(thm)], ['49'])).
0.37/0.58	tff('51', plain, (~ $true | ~ $true | ~ $true | sk_A1 = sk_A0),
0.37/0.58	    inference('demod', [status(thm)], ['48', '50', '42'])).
0.37/0.58	tff('52', plain, sk_A1 = sk_A0, inference('simplify', [status(thm)], ['51'])).
0.37/0.58	tff('53', plain, $false,
0.37/0.58	    inference('simplify_reflect-', [status(thm)], ['52', '38'])).
0.37/0.59	
0.37/0.59	% SZS output end Refutation
0.37/0.59	EOF
