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_ext
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n098.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:27:09 CST 2018
8.51/8.70	% done 1927 iterations in 8.502s
8.51/8.70	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
8.51/8.70	% SZS output start Refutation
8.51/8.71	tff('thm/sets/PSUBSET_SUBSET_TRANS_', conjecture,
8.51/8.71	  (![A:$tType,A0:(A > $o),A1:(A > $o),A2:(A > $o)]:
8.51/8.71	     (('const/sets/SUBSET'(A,A1,A2) & 'const/sets/PSUBSET'(A,A0,A1)) =>
8.51/8.71	      'const/sets/PSUBSET'(A,A0,A2)))).
8.51/8.71	tff(zf_stmt_0, negated_conjecture,
8.51/8.71	  (~
8.51/8.71	    (![A:$tType,A0:(A > $o),A1:(A > $o),A2:(A > $o)]:
8.51/8.71	       (('const/sets/SUBSET'(A,A1,A2) & 'const/sets/PSUBSET'(A,A0,A1)) =>
8.51/8.71	        'const/sets/PSUBSET'(A,A0,A2))))).
8.51/8.71	tff('0', plain, 'const/sets/PSUBSET'(sk_A, sk_A0, sk_A1),
8.51/8.71	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.51/8.71	tff('thm/sets/IN_', axiom,
8.51/8.71	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
8.51/8.71	tff('1', plain,
8.51/8.71	    ![X0 : $tType, X1 : X0 > $o, X3 : X0]:
8.51/8.71	      ('const/sets/IN'(X0, X3, X1) | ~ X1(X3)),
8.51/8.71	    inference('cnf', [status(esa)], [thm/sets/IN_])).
8.51/8.71	tff('2', plain,
8.51/8.71	    ![X0 : $tType, X1 : X0 > $o, X3 : X0, X4 : X0 > $o]:
8.51/8.71	      (X4 != X1 | 'const/sets/IN'(X0, X3, X1) | ~ X4(X3)),
8.51/8.71	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
8.51/8.71	tff('3', plain,
8.51/8.71	    ![X0 : sk_A > $o > $o]:
8.51/8.71	      (~ $true
8.51/8.71	       | 'const/sets/IN'((> $o, sk_A), sk_A1, X0)
8.51/8.71	       | 'const/sets/PSUBSET'(sk_A, sk_A0) != X0),
8.51/8.71	    inference('sup-', [status(thm)], ['0', '2'])).
8.51/8.71	tff('4', plain,
8.51/8.71	    ![X0 : sk_A > $o > $o]:
8.51/8.71	      ('const/sets/PSUBSET'(sk_A, sk_A0) != X0
8.51/8.71	       | 'const/sets/IN'((> $o, sk_A), sk_A1, X0)),
8.51/8.71	    inference('simplify', [status(thm)], ['3'])).
8.51/8.71	tff('5', plain,
8.51/8.71	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
8.51/8.71	      (X1(X2) | ~ 'const/sets/IN'(X0, X2, X1)),
8.51/8.71	    inference('cnf', [status(esa)], [thm/sets/IN_])).
8.51/8.71	tff('6', plain,
8.51/8.71	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0 > $o]:
8.51/8.71	      (X3 != X1 | X1(X2) | ~ 'const/sets/IN'(X0, X2, X3)),
8.51/8.71	    inference('ho.purify_applied_variable', [status(thm)], ['5'])).
8.51/8.71	tff('7', plain,
8.51/8.71	    ![X0 : sk_A > $o > $o, X1 : sk_A > $o > $o]:
8.51/8.71	      (~ $true
8.51/8.71	       | 'const/sets/PSUBSET'(sk_A, sk_A0) != X0
8.51/8.71	       | X1(sk_A1)
8.51/8.71	       | X0 != X1),
8.51/8.71	    inference('sup-', [status(thm)], ['4', '6'])).
8.51/8.71	tff('8', plain,
8.51/8.71	    ![X0 : sk_A > $o > $o, X1 : sk_A > $o > $o]:
8.51/8.71	      (X0 != X1 | X1(sk_A1) | 'const/sets/PSUBSET'(sk_A, sk_A0) != X0),
8.51/8.71	    inference('simplify', [status(thm)], ['7'])).
8.51/8.71	tff('thm/sets/PSUBSET_', axiom,
8.51/8.71	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
8.51/8.71	     ('const/sets/PSUBSET'(A,A0,A1) <=>
8.51/8.71	      ((A0 != A1) & 'const/sets/SUBSET'(A,A0,A1))))).
8.51/8.71	tff('9', plain,
8.51/8.71	    ![X15 : $tType, X16 : X15 > $o, X17 : X15 > $o]:
8.51/8.71	      (X17 != X16 | ~ 'const/sets/PSUBSET'(X15, X17, X16)),
8.51/8.71	    inference('cnf', [status(esa)], [thm/sets/PSUBSET_])).
8.51/8.71	tff('10', plain,
8.51/8.71	    ![X0 : sk_A > $o, X1 : sk_A > $o > $o]:
8.51/8.71	      (~ $true
8.51/8.71	       | 'const/sets/PSUBSET'(sk_A, sk_A0) != X1
8.51/8.71	       | X1 != 'const/sets/PSUBSET'(sk_A, X0)
8.51/8.71	       | X0 != sk_A1),
8.51/8.71	    inference('sup-', [status(thm)], ['8', '9'])).
8.51/8.71	tff('11', plain,
8.51/8.71	    ![X0 : sk_A > $o, X1 : sk_A > $o > $o]:
8.51/8.71	      (X0 != sk_A1
8.51/8.71	       | X1 != 'const/sets/PSUBSET'(sk_A, X0)
8.51/8.71	       | 'const/sets/PSUBSET'(sk_A, sk_A0) != X1),
8.51/8.71	    inference('simplify', [status(thm)], ['10'])).
8.51/8.71	tff('12', plain,
8.51/8.71	    ![X0 : sk_A > $o > $o]:
8.51/8.71	      ('const/sets/PSUBSET'(sk_A, sk_A0) != X0
8.51/8.71	       | X0 != 'const/sets/PSUBSET'(sk_A, sk_A1)),
8.51/8.71	    inference('eq_res', [status(thm)], ['11'])).
8.51/8.71	tff('13', plain,
8.51/8.71	    'const/sets/PSUBSET'(sk_A, sk_A0) != 'const/sets/PSUBSET'(sk_A, sk_A1),
8.51/8.71	    inference('eq_res', [status(thm)], ['12'])).
8.51/8.71	tff('14', plain,
8.51/8.71	    'const/sets/PSUBSET'(sk_A, sk_A0, '#k13')
8.51/8.71	     != 'const/sets/PSUBSET'(sk_A, sk_A1, '#k13'),
8.51/8.71	    inference('rw_lit', [status(thm)], ['13'])).
8.51/8.71	tff('thm/sets/EXTENSION_', axiom,
8.51/8.71	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
8.51/8.71	     ((A0 = A1) <=>
8.51/8.71	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
8.51/8.71	tff('15', plain,
8.51/8.71	    ![X4 : $tType, X7 : X4 > $o, X9 : X4 > $o]:
8.51/8.71	      (X7 = X9
8.51/8.71	       | 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X9)
8.51/8.71	       | 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X7)),
8.51/8.71	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
8.51/8.71	tff('16', plain, 'const/sets/SUBSET'(sk_A, sk_A1, sk_A22),
8.51/8.71	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.51/8.71	tff('thm/sets/SUBSET_', axiom,
8.51/8.71	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
8.51/8.71	     ('const/sets/SUBSET'(A,A0,A1) <=>
8.51/8.71	      (![A2:A]: ('const/sets/IN'(A,A2,A0) => 'const/sets/IN'(A,A2,A1)))))).
8.51/8.71	tff('17', plain,
8.51/8.71	    ![X10 : $tType, X11 : X10, X12 : X10 > $o, X13 : X10 > $o]:
8.51/8.71	      (~ 'const/sets/IN'(X10, X11, X12)
8.51/8.71	       | 'const/sets/IN'(X10, X11, X13)
8.51/8.71	       | ~ 'const/sets/SUBSET'(X10, X12, X13)),
8.51/8.71	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
8.51/8.71	tff('18', plain,
8.51/8.71	    ![X0 : sk_A]:
8.51/8.71	      (~ $true
8.51/8.71	       | 'const/sets/IN'(sk_A, X0, sk_A22)
8.51/8.71	       | ~ 'const/sets/IN'(sk_A, X0, sk_A1)),
8.51/8.71	    inference('sup-', [status(thm)], ['16', '17'])).
8.51/8.71	tff('19', plain,
8.51/8.71	    ![X0 : sk_A]:
8.51/8.71	      (~ 'const/sets/IN'(sk_A, X0, sk_A1) | 'const/sets/IN'(sk_A, X0, sk_A22)),
8.51/8.71	    inference('simplify', [status(thm)], ['18'])).
8.51/8.71	tff('20', plain,
8.51/8.71	    ![X15 : $tType, X17 : X15 > $o, X18 : X15 > $o]:
8.51/8.71	      ('const/sets/PSUBSET'(X15, X17, X18)
8.51/8.71	       | ~ 'const/sets/SUBSET'(X15, X17, X18)
8.51/8.71	       | X17 = X18),
8.51/8.71	    inference('cnf', [status(esa)], [thm/sets/PSUBSET_])).
8.51/8.71	tff('21', plain, ~ 'const/sets/PSUBSET'(sk_A, sk_A0, sk_A22),
8.51/8.71	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.51/8.71	tff('22', plain,
8.51/8.71	    (~ $true | sk_A0 = sk_A22 | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)),
8.51/8.71	    inference('sup-', [status(thm)], ['20', '21'])).
8.51/8.71	tff('23', plain,
8.51/8.71	    ![X10 : $tType, X12 : X10 > $o, X14 : X10 > $o]:
8.51/8.71	      ('const/sets/SUBSET'(X10, X12, X14)
8.51/8.71	       | 'const/sets/IN'(X10, sk_A21(X10, X14, X12), X12)),
8.51/8.71	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
8.51/8.71	tff('24', plain,
8.51/8.71	    ![X15 : $tType, X16 : X15 > $o, X17 : X15 > $o]:
8.51/8.71	      ('const/sets/SUBSET'(X15, X17, X16)
8.51/8.71	       | ~ 'const/sets/PSUBSET'(X15, X17, X16)),
8.51/8.71	    inference('cnf', [status(esa)], [thm/sets/PSUBSET_])).
8.51/8.71	tff('25', plain, (~ $true | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)),
8.51/8.71	    inference('sup-', [status(thm)], ['0', '24'])).
8.51/8.71	tff('26', plain, 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1),
8.51/8.71	    inference('simplify', [status(thm)], ['25'])).
8.51/8.71	tff('27', plain,
8.51/8.71	    ![X0 : sk_A]:
8.51/8.71	      (~ $true
8.51/8.71	       | 'const/sets/IN'(sk_A, X0, sk_A1)
8.51/8.71	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
8.51/8.71	    inference('sup-', [status(thm)], ['26', '17'])).
8.51/8.71	tff('28', plain,
8.51/8.71	    ![X0 : sk_A]:
8.51/8.71	      (~ 'const/sets/IN'(sk_A, X0, sk_A0) | 'const/sets/IN'(sk_A, X0, sk_A1)),
8.51/8.71	    inference('simplify', [status(thm)], ['27'])).
8.51/8.71	tff('29', plain,
8.51/8.71	    ![X10 : $tType, X12 : X10 > $o, X14 : X10 > $o]:
8.51/8.71	      ('const/sets/SUBSET'(X10, X12, X14)
8.51/8.71	       | ~ 'const/sets/IN'(X10, sk_A21(X10, X14, X12), X14)),
8.51/8.71	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
8.51/8.71	tff('30', plain,
8.51/8.71	    ![X0 : sk_A > $o]:
8.51/8.71	      (~ $true
8.51/8.71	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), sk_A1)
8.51/8.71	       | 'const/sets/SUBSET'(sk_A, X0, sk_A22)),
8.51/8.71	    inference('sup-', [status(thm)], ['19', '29'])).
8.51/8.71	tff('31', plain,
8.51/8.71	    ![X0 : sk_A > $o]:
8.51/8.71	      ('const/sets/SUBSET'(sk_A, X0, sk_A22)
8.51/8.71	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), sk_A1)),
8.51/8.71	    inference('simplify', [status(thm)], ['30'])).
8.51/8.71	tff('32', plain,
8.51/8.71	    ![X0 : sk_A > $o]:
8.51/8.71	      (~ $true
8.51/8.71	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), sk_A0)
8.51/8.71	       | 'const/sets/SUBSET'(sk_A, X0, sk_A22)),
8.51/8.71	    inference('sup-', [status(thm)], ['28', '31'])).
8.51/8.71	tff('33', plain,
8.51/8.71	    ![X0 : sk_A > $o]:
8.51/8.71	      ('const/sets/SUBSET'(sk_A, X0, sk_A22)
8.51/8.71	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), sk_A0)),
8.51/8.71	    inference('simplify', [status(thm)], ['32'])).
8.51/8.71	tff('34', plain,
8.51/8.71	    (~ $true
8.51/8.71	     | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)
8.51/8.71	     | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)),
8.51/8.71	    inference('sup-', [status(thm)], ['23', '33'])).
8.51/8.71	tff('35', plain, 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22),
8.51/8.71	    inference('simplify', [status(thm)], ['34'])).
8.51/8.71	tff('36', plain, (~ $true | sk_A0 = sk_A22 | ~ $true),
8.51/8.71	    inference('demod', [status(thm)], ['22', '35'])).
8.51/8.71	tff('37', plain, sk_A0 = sk_A22, inference('simplify', [status(thm)], ['36'])).
8.51/8.71	tff('38', plain,
8.51/8.71	    ![X0 : sk_A]:
8.51/8.71	      (~ 'const/sets/IN'(sk_A, X0, sk_A1) | 'const/sets/IN'(sk_A, X0, sk_A0)),
8.51/8.71	    inference('demod', [status(thm)], ['19', '37'])).
8.51/8.71	tff('39', plain,
8.51/8.71	    ![X0 : sk_A > $o]:
8.51/8.71	      (~ $true
8.51/8.71	       | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)
8.51/8.71	       | X0 = sk_A1
8.51/8.71	       | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), sk_A0)),
8.51/8.71	    inference('sup-', [status(thm)], ['15', '38'])).
8.51/8.71	tff('40', plain,
8.51/8.71	    ![X0 : sk_A > $o]:
8.51/8.71	      ('const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), sk_A0)
8.51/8.71	       | X0 = sk_A1
8.51/8.71	       | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)),
8.51/8.71	    inference('simplify', [status(thm)], ['39'])).
8.51/8.71	tff('41', plain,
8.51/8.71	    (~ $true
8.51/8.71	     | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, sk_A0), sk_A0)
8.51/8.71	     | sk_A0 = sk_A1),
8.51/8.71	    inference('eq_fact', [status(thm)], ['40'])).
8.51/8.71	tff('42', plain,
8.51/8.71	    (sk_A0 = sk_A1 | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, sk_A0), sk_A0)),
8.51/8.71	    inference('simplify', [status(thm)], ['41'])).
8.51/8.71	tff('43', plain,
8.51/8.71	    ![X4 : $tType, X7 : X4 > $o, X9 : X4 > $o]:
8.51/8.71	      (X7 = X9
8.51/8.71	       | ~ 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X9)
8.51/8.71	       | ~ 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X7)),
8.51/8.71	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
8.51/8.71	tff('44', plain,
8.51/8.71	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
8.51/8.71	      (~ $true
8.51/8.71	       | ~ 'const/sets/SUBSET'(X0, X3, X1)
8.51/8.71	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X3)
8.51/8.71	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
8.51/8.71	       | X2 = X1),
8.51/8.71	    inference('sup-', [status(thm)], ['17', '43'])).
8.51/8.71	tff('45', plain,
8.51/8.71	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
8.51/8.71	      (X2 = X1
8.51/8.71	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
8.51/8.71	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X3)
8.51/8.71	       | ~ 'const/sets/SUBSET'(X0, X3, X1)),
8.51/8.71	    inference('simplify', [status(thm)], ['44'])).
8.51/8.71	tff('46', plain,
8.51/8.71	    (~ $true
8.51/8.71	     | sk_A0 = sk_A1
8.51/8.71	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)
8.51/8.71	     | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, sk_A0), sk_A0)
8.51/8.71	     | sk_A0 = sk_A1),
8.51/8.71	    inference('sup-', [status(thm)], ['42', '45'])).
8.51/8.71	tff('47', plain,
8.51/8.71	    (~ $true
8.51/8.71	     | sk_A0 = sk_A1
8.51/8.71	     | ~ $true
8.51/8.71	     | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, sk_A0), sk_A0)
8.51/8.71	     | sk_A0 = sk_A1),
8.51/8.71	    inference('demod', [status(thm)], ['46', '26'])).
8.51/8.71	tff('48', plain,
8.51/8.71	    (~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, sk_A0), sk_A0)
8.51/8.71	     | sk_A0 = sk_A1),
8.51/8.71	    inference('simplify', [status(thm)], ['47'])).
8.51/8.71	tff('49', plain, sk_A0 = sk_A1, inference('clc', [status(thm)], ['48', '42'])).
8.51/8.71	tff('50', plain,
8.51/8.71	    'const/sets/PSUBSET'(sk_A, sk_A0, '#k13')
8.51/8.71	     != 'const/sets/PSUBSET'(sk_A, sk_A0, '#k13'),
8.51/8.71	    inference('demod', [status(thm)], ['14', '49'])).
8.51/8.71	tff('51', plain, $false, inference('simplify', [status(thm)], ['50'])).
8.51/8.71	
8.51/8.71	% SZS output end Refutation
8.51/8.71	EOF
