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_ext
0.00/0.00	% Ordering    : kbo
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n079.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:27:09 CST 2018
0.61/0.86	% done 334 iterations in 0.659s
0.61/0.86	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.61/0.86	% SZS output start Refutation
0.61/0.86	tff('thm/sets/SUBSET_ANTISYM_EQ_', conjecture,
0.61/0.86	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.61/0.86	     (('const/sets/SUBSET'(A,A1,A0) & 'const/sets/SUBSET'(A,A0,A1)) <=>
0.61/0.86	      (A0 = A1)))).
0.61/0.86	tff(zf_stmt_0, negated_conjecture,
0.61/0.86	  (~
0.61/0.86	    (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.61/0.86	       (('const/sets/SUBSET'(A,A1,A0) & 'const/sets/SUBSET'(A,A0,A1)) <=>
0.61/0.86	        (A0 = A1))))).
0.61/0.86	tff('0', plain,
0.61/0.86	    (sk_A0 != sk_A1
0.61/0.86	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)
0.61/0.86	     | ~ 'const/sets/SUBSET'(sk_A, sk_A1, sk_A0)),
0.61/0.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.86	tff('1', plain,
0.61/0.86	    (sk_A0('#k1') != sk_A1('#k1')
0.61/0.86	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)
0.61/0.86	     | ~ 'const/sets/SUBSET'(sk_A, sk_A1, sk_A0)),
0.61/0.86	    inference('rw_lit', [status(thm)], ['0'])).
0.61/0.86	tff('thm/sets/EXTENSION_', axiom,
0.61/0.86	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.61/0.86	     ((A0 = A1) <=>
0.61/0.86	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
0.61/0.86	tff('2', plain,
0.61/0.86	    ![X4 : $tType, X7 : X4 > $o, X9 : X4 > $o]:
0.61/0.86	      (X7 = X9
0.61/0.86	       | 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X9)
0.61/0.86	       | 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X7)),
0.61/0.86	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
0.61/0.86	tff('thm/sets/IN_', axiom,
0.61/0.86	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
0.61/0.86	tff('3', plain,
0.61/0.86	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
0.61/0.86	      (X1(X2) | ~ 'const/sets/IN'(X0, X2, X1)),
0.61/0.86	    inference('cnf', [status(esa)], [thm/sets/IN_])).
0.61/0.86	tff('4', plain,
0.61/0.86	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.61/0.86	      (~ $true
0.61/0.86	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
0.61/0.86	       | X2 = X1
0.61/0.86	       | X1(sk_A2(X0, X1, X2))),
0.61/0.86	    inference('sup-', [status(thm)], ['2', '3'])).
0.61/0.86	tff('5', plain,
0.61/0.86	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.61/0.86	      (X1(sk_A2(X0, X1, X2))
0.61/0.86	       | X2 = X1
0.61/0.86	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)),
0.61/0.86	    inference('simplify', [status(thm)], ['4'])).
0.61/0.86	tff('6', plain, (sk_A0 = sk_A1 | 'const/sets/SUBSET'(sk_A, sk_A1, sk_A0)),
0.61/0.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.86	tff('thm/sets/SUBSET_', axiom,
0.61/0.86	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.61/0.86	     ('const/sets/SUBSET'(A,A0,A1) <=>
0.61/0.86	      (![A2:A]: ('const/sets/IN'(A,A2,A0) => 'const/sets/IN'(A,A2,A1)))))).
0.61/0.86	tff('7', plain,
0.61/0.86	    ![X10 : $tType, X11 : X10, X12 : X10 > $o, X13 : X10 > $o]:
0.61/0.86	      (~ 'const/sets/IN'(X10, X11, X12)
0.61/0.86	       | 'const/sets/IN'(X10, X11, X13)
0.61/0.86	       | ~ 'const/sets/SUBSET'(X10, X12, X13)),
0.61/0.86	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
0.61/0.86	tff('8', plain,
0.61/0.86	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0 > $o]:
0.61/0.86	      (~ $true
0.61/0.86	       | ~ 'const/sets/SUBSET'(X0, X3, X1)
0.61/0.86	       | ~ 'const/sets/IN'(X0, X2, X3)
0.61/0.86	       | X1(X2)),
0.61/0.86	    inference('sup-', [status(thm)], ['7', '3'])).
0.61/0.86	tff('9', plain,
0.61/0.86	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0 > $o]:
0.61/0.86	      (X1(X2)
0.61/0.86	       | ~ 'const/sets/IN'(X0, X2, X3)
0.61/0.86	       | ~ 'const/sets/SUBSET'(X0, X3, X1)),
0.61/0.86	    inference('simplify', [status(thm)], ['8'])).
0.61/0.86	tff('10', plain,
0.61/0.86	    ![X0 : sk_A]:
0.61/0.86	      (~ $true
0.61/0.86	       | sk_A0 = sk_A1
0.61/0.86	       | ~ 'const/sets/IN'(sk_A, X0, sk_A1)
0.61/0.86	       | sk_A0(X0)),
0.61/0.86	    inference('sup-', [status(thm)], ['6', '9'])).
0.61/0.86	tff('11', plain,
0.61/0.86	    ![X0 : sk_A]:
0.61/0.86	      (sk_A0(X0) | ~ 'const/sets/IN'(sk_A, X0, sk_A1) | sk_A0 = sk_A1),
0.61/0.86	    inference('simplify', [status(thm)], ['10'])).
0.61/0.86	tff('12', plain,
0.61/0.86	    ![X0 : sk_A > $o]:
0.61/0.86	      (~ $true
0.61/0.86	       | sk_A1 = X0
0.61/0.86	       | X0(sk_A2(sk_A, X0, sk_A1))
0.61/0.86	       | sk_A0 = sk_A1
0.61/0.86	       | sk_A0(sk_A2(sk_A, X0, sk_A1))),
0.61/0.86	    inference('sup-', [status(thm)], ['5', '11'])).
0.61/0.86	tff('13', plain,
0.61/0.86	    ![X0 : sk_A > $o]:
0.61/0.86	      (sk_A0(sk_A2(sk_A, X0, sk_A1))
0.61/0.86	       | sk_A0 = sk_A1
0.61/0.86	       | X0(sk_A2(sk_A, X0, sk_A1))
0.61/0.86	       | sk_A1 = X0),
0.61/0.86	    inference('simplify', [status(thm)], ['12'])).
0.61/0.86	tff('14', plain,
0.61/0.86	    (~ $true
0.61/0.86	     | sk_A1 = sk_A0
0.61/0.86	     | sk_A0(sk_A2(sk_A, sk_A0, sk_A1))
0.61/0.86	     | sk_A0 = sk_A1),
0.61/0.86	    inference('eq_fact', [status(thm)], ['13'])).
0.61/0.86	tff('15', plain, (sk_A0(sk_A2(sk_A, sk_A0, sk_A1)) | sk_A1 = sk_A0),
0.61/0.86	    inference('simplify', [status(thm)], ['14'])).
0.61/0.86	tff('16', plain,
0.61/0.86	    ![X0 : $tType, X1 : X0 > $o, X3 : X0]:
0.61/0.86	      ('const/sets/IN'(X0, X3, X1) | ~ X1(X3)),
0.61/0.86	    inference('cnf', [status(esa)], [thm/sets/IN_])).
0.61/0.86	tff('17', plain, (sk_A0 = sk_A1 | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)),
0.61/0.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.86	tff('18', plain,
0.61/0.86	    ![X0 : sk_A]:
0.61/0.86	      (~ $true
0.61/0.86	       | sk_A0 = sk_A1
0.61/0.86	       | 'const/sets/IN'(sk_A, X0, sk_A1)
0.61/0.86	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
0.61/0.86	    inference('sup-', [status(thm)], ['17', '7'])).
0.61/0.86	tff('19', plain,
0.61/0.86	    ![X0 : sk_A]:
0.61/0.86	      (~ 'const/sets/IN'(sk_A, X0, sk_A0)
0.61/0.86	       | 'const/sets/IN'(sk_A, X0, sk_A1)
0.61/0.86	       | sk_A0 = sk_A1),
0.61/0.86	    inference('simplify', [status(thm)], ['18'])).
0.61/0.86	tff('20', plain,
0.61/0.86	    ![X0 : sk_A]:
0.61/0.86	      (~ $true
0.61/0.86	       | sk_A0 = sk_A1
0.61/0.86	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)
0.61/0.86	       | sk_A1(X0)),
0.61/0.86	    inference('sup-', [status(thm)], ['19', '3'])).
0.61/0.86	tff('21', plain,
0.61/0.86	    ![X0 : sk_A]:
0.61/0.86	      (sk_A1(X0) | ~ 'const/sets/IN'(sk_A, X0, sk_A0) | sk_A0 = sk_A1),
0.61/0.86	    inference('simplify', [status(thm)], ['20'])).
0.61/0.86	tff('22', plain,
0.61/0.86	    ![X0 : sk_A, X1 : sk_A > $o]:
0.61/0.86	      (~ $true
0.61/0.86	       | ~ 'const/sets/SUBSET'(sk_A, X1, sk_A0)
0.61/0.86	       | ~ 'const/sets/IN'(sk_A, X0, X1)
0.61/0.86	       | sk_A0 = sk_A1
0.61/0.86	       | sk_A1(X0)),
0.61/0.86	    inference('sup-', [status(thm)], ['7', '21'])).
0.61/0.86	tff('23', plain,
0.61/0.86	    ![X0 : sk_A, X1 : sk_A > $o]:
0.61/0.86	      (sk_A1(X0)
0.61/0.86	       | sk_A0 = sk_A1
0.61/0.86	       | ~ 'const/sets/IN'(sk_A, X0, X1)
0.61/0.86	       | ~ 'const/sets/SUBSET'(sk_A, X1, sk_A0)),
0.61/0.86	    inference('simplify', [status(thm)], ['22'])).
0.61/0.86	tff('24', plain,
0.61/0.86	    ![X0 : sk_A > $o, X1 : sk_A]:
0.61/0.86	      (~ $true
0.61/0.86	       | ~ X0(X1)
0.61/0.86	       | ~ 'const/sets/SUBSET'(sk_A, X0, sk_A0)
0.61/0.86	       | sk_A0 = sk_A1
0.61/0.86	       | sk_A1(X1)),
0.61/0.86	    inference('sup-', [status(thm)], ['16', '23'])).
0.61/0.86	tff('25', plain,
0.61/0.86	    ![X0 : sk_A > $o, X1 : sk_A]:
0.61/0.86	      (sk_A1(X1)
0.61/0.86	       | sk_A0 = sk_A1
0.61/0.86	       | ~ 'const/sets/SUBSET'(sk_A, X0, sk_A0)
0.61/0.86	       | ~ X0(X1)),
0.61/0.86	    inference('simplify', [status(thm)], ['24'])).
0.61/0.86	tff('26', plain,
0.61/0.86	    (~ $true
0.61/0.86	     | sk_A1 = sk_A0
0.61/0.86	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A0)
0.61/0.86	     | sk_A0 = sk_A1
0.61/0.86	     | sk_A1(sk_A2(sk_A, sk_A0, sk_A1))),
0.61/0.86	    inference('sup-', [status(thm)], ['15', '25'])).
0.61/0.86	tff('27', plain,
0.61/0.86	    ![X10 : $tType, X12 : X10 > $o, X14 : X10 > $o]:
0.61/0.86	      ('const/sets/SUBSET'(X10, X12, X14)
0.61/0.86	       | 'const/sets/IN'(X10, sk_A21(X10, X14, X12), X12)),
0.61/0.86	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
0.61/0.86	tff('28', plain,
0.61/0.86	    ![X10 : $tType, X12 : X10 > $o, X14 : X10 > $o]:
0.61/0.86	      ('const/sets/SUBSET'(X10, X12, X14)
0.61/0.86	       | ~ 'const/sets/IN'(X10, sk_A21(X10, X14, X12), X14)),
0.61/0.86	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
0.61/0.86	tff('29', plain,
0.61/0.86	    ![X0 : $tType, X1 : X0 > $o]:
0.61/0.86	      (~ $true
0.61/0.86	       | 'const/sets/SUBSET'(X0, X1, X1)
0.61/0.86	       | 'const/sets/SUBSET'(X0, X1, X1)),
0.61/0.86	    inference('sup-', [status(thm)], ['27', '28'])).
0.61/0.86	tff('30', plain,
0.61/0.86	    ![X0 : $tType, X1 : X0 > $o]: 'const/sets/SUBSET'(X0, X1, X1),
0.61/0.86	    inference('simplify', [status(thm)], ['29'])).
0.61/0.86	tff('31', plain,
0.61/0.86	    (~ $true
0.61/0.86	     | sk_A1 = sk_A0
0.61/0.86	     | ~ $true
0.61/0.86	     | sk_A0 = sk_A1
0.61/0.86	     | sk_A1(sk_A2(sk_A, sk_A0, sk_A1))),
0.61/0.86	    inference('demod', [status(thm)], ['26', '30'])).
0.61/0.86	tff('32', plain, (sk_A1(sk_A2(sk_A, sk_A0, sk_A1)) | sk_A1 = sk_A0),
0.61/0.86	    inference('simplify', [status(thm)], ['31'])).
0.61/0.86	tff('33', plain,
0.61/0.86	    ![X4 : $tType, X7 : X4 > $o, X9 : X4 > $o]:
0.61/0.86	      (X7 = X9
0.61/0.86	       | ~ 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X9)
0.61/0.86	       | ~ 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X7)),
0.61/0.86	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
0.61/0.86	tff('34', plain,
0.61/0.86	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.61/0.86	      (~ $true
0.61/0.86	       | ~ X1(sk_A2(X0, X1, X2))
0.61/0.86	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
0.61/0.86	       | X2 = X1),
0.61/0.86	    inference('sup-', [status(thm)], ['16', '33'])).
0.61/0.86	tff('35', plain,
0.61/0.86	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.61/0.86	      (X2 = X1
0.61/0.86	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
0.61/0.86	       | ~ X1(sk_A2(X0, X1, X2))),
0.61/0.86	    inference('simplify', [status(thm)], ['34'])).
0.61/0.86	tff('36', plain,
0.61/0.86	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.61/0.86	      (~ $true | ~ X1(sk_A2(X0, X2, X1)) | ~ X2(sk_A2(X0, X2, X1)) | X1 = X2),
0.61/0.86	    inference('sup-', [status(thm)], ['16', '35'])).
0.61/0.86	tff('37', plain,
0.61/0.86	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.61/0.86	      (X1 = X2 | ~ X2(sk_A2(X0, X2, X1)) | ~ X1(sk_A2(X0, X2, X1))),
0.61/0.86	    inference('simplify', [status(thm)], ['36'])).
0.61/0.86	tff('38', plain,
0.61/0.86	    (~ $true
0.61/0.86	     | sk_A1 = sk_A0
0.61/0.86	     | ~ sk_A0(sk_A2(sk_A, sk_A0, sk_A1))
0.61/0.86	     | sk_A1 = sk_A0),
0.61/0.86	    inference('sup-', [status(thm)], ['32', '37'])).
0.61/0.86	tff('39', plain, (~ sk_A0(sk_A2(sk_A, sk_A0, sk_A1)) | sk_A1 = sk_A0),
0.61/0.86	    inference('simplify', [status(thm)], ['38'])).
0.61/0.86	tff('40', plain, sk_A1 = sk_A0, inference('clc', [status(thm)], ['39', '15'])).
0.61/0.86	tff('41', plain, (sk_A0('#k1') != sk_A1('#k1') | ~ $true | ~ $true),
0.61/0.86	    inference('demod', [status(thm)], ['1', '40', '30', '40', '30'])).
0.61/0.86	tff('42', plain, sk_A0('#k1') != sk_A1('#k1'),
0.61/0.86	    inference('simplify', [status(thm)], ['41'])).
0.61/0.86	tff('43', plain, ![X1 : sk_A]: sk_A1(X1) = sk_A0(X1),
0.61/0.86	    inference('ho_complete_eq', [status(thm)], ['40'])).
0.61/0.86	tff('44', plain, sk_A0('#k1') != sk_A0('#k1'),
0.61/0.86	    inference('demod', [status(thm)], ['42', '43'])).
0.61/0.86	tff('45', plain, $false, inference('simplify', [status(thm)], ['44'])).
0.61/0.86	
0.61/0.86	% SZS output end Refutation
0.61/0.86	EOF
