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_int
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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --ho-purify int \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n072.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:27:09 CST 2018
2.78/2.99	% done 918 iterations in 2.790s
2.78/2.99	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
2.78/2.99	% SZS output start Refutation
2.78/2.99	tff('thm/sets/EXTENSION_', axiom,
2.78/2.99	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
2.78/2.99	     ((A0 = A1) <=>
2.78/2.99	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
2.78/2.99	tff('0', plain,
2.78/2.99	    ![X4 : $tType, X7 : X4 > $o, X9 : X4 > $o]:
2.78/2.99	      (X7 = X9
2.78/2.99	       | 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X9)
2.78/2.99	       | 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X7)),
2.78/2.99	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
2.78/2.99	tff('thm/sets/SUBSET_', axiom,
2.78/2.99	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
2.78/2.99	     ('const/sets/SUBSET'(A,A0,A1) <=>
2.78/2.99	      (![A2:A]: ('const/sets/IN'(A,A2,A0) => 'const/sets/IN'(A,A2,A1)))))).
2.78/2.99	tff('1', plain,
2.78/2.99	    ![X10 : $tType, X11 : X10, X12 : X10 > $o, X13 : X10 > $o]:
2.78/2.99	      (~ 'const/sets/IN'(X10, X11, X12)
2.78/2.99	       | 'const/sets/IN'(X10, X11, X13)
2.78/2.99	       | ~ 'const/sets/SUBSET'(X10, X12, X13)),
2.78/2.99	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
2.78/2.99	tff('2', plain,
2.78/2.99	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
2.78/2.99	      (~ $true
2.78/2.99	       | 'const/sets/IN'(X0, sk_A2(X0, X2, X1), X2)
2.78/2.99	       | X1 = X2
2.78/2.99	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
2.78/2.99	       | 'const/sets/IN'(X0, sk_A2(X0, X2, X1), X3)),
2.78/2.99	    inference('sup-', [status(thm)], ['0', '1'])).
2.78/2.99	tff('3', plain,
2.78/2.99	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
2.78/2.99	      ('const/sets/IN'(X0, sk_A2(X0, X2, X1), X3)
2.78/2.99	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
2.78/2.99	       | X1 = X2
2.78/2.99	       | 'const/sets/IN'(X0, sk_A2(X0, X2, X1), X2)),
2.78/2.99	    inference('simplify', [status(thm)], ['2'])).
2.78/2.99	tff('thm/sets/PSUBSET_SUBSET_TRANS_', conjecture,
2.78/2.99	  (![A:$tType,A0:(A > $o),A1:(A > $o),A2:(A > $o)]:
2.78/2.99	     (('const/sets/SUBSET'(A,A1,A2) & 'const/sets/PSUBSET'(A,A0,A1)) =>
2.78/2.99	      'const/sets/PSUBSET'(A,A0,A2)))).
2.78/2.99	tff(zf_stmt_0, negated_conjecture,
2.78/2.99	  (~
2.78/2.99	    (![A:$tType,A0:(A > $o),A1:(A > $o),A2:(A > $o)]:
2.78/2.99	       (('const/sets/SUBSET'(A,A1,A2) & 'const/sets/PSUBSET'(A,A0,A1)) =>
2.78/2.99	        'const/sets/PSUBSET'(A,A0,A2))))).
2.78/2.99	tff('4', plain, 'const/sets/PSUBSET'(sk_A, sk_A0, sk_A1),
2.78/2.99	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.78/2.99	tff('thm/sets/PSUBSET_', axiom,
2.78/2.99	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
2.78/2.99	     ('const/sets/PSUBSET'(A,A0,A1) <=>
2.78/2.99	      ((A0 != A1) & 'const/sets/SUBSET'(A,A0,A1))))).
2.78/2.99	tff('5', plain,
2.78/2.99	    ![X15 : $tType, X16 : X15 > $o, X17 : X15 > $o]:
2.78/2.99	      ('const/sets/SUBSET'(X15, X17, X16)
2.78/2.99	       | ~ 'const/sets/PSUBSET'(X15, X17, X16)),
2.78/2.99	    inference('cnf', [status(esa)], [thm/sets/PSUBSET_])).
2.78/2.99	tff('6', plain, (~ $true | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)),
2.78/2.99	    inference('sup-', [status(thm)], ['4', '5'])).
2.78/2.99	tff('7', plain, 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1),
2.78/2.99	    inference('simplify', [status(thm)], ['6'])).
2.78/2.99	tff('8', plain,
2.78/2.99	    ![X0 : sk_A]:
2.78/2.99	      (~ $true
2.78/2.99	       | 'const/sets/IN'(sk_A, X0, sk_A1)
2.78/2.99	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
2.78/2.99	    inference('sup-', [status(thm)], ['7', '1'])).
2.78/2.99	tff('9', plain,
2.78/2.99	    ![X0 : sk_A]:
2.78/2.99	      (~ 'const/sets/IN'(sk_A, X0, sk_A0) | 'const/sets/IN'(sk_A, X0, sk_A1)),
2.78/2.99	    inference('simplify', [status(thm)], ['8'])).
2.78/2.99	tff('10', plain, 'const/sets/SUBSET'(sk_A, sk_A1, sk_A22),
2.78/2.99	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.78/2.99	tff('11', plain,
2.78/2.99	    ![X0 : sk_A]:
2.78/2.99	      (~ $true
2.78/2.99	       | 'const/sets/IN'(sk_A, X0, sk_A22)
2.78/2.99	       | ~ 'const/sets/IN'(sk_A, X0, sk_A1)),
2.78/2.99	    inference('sup-', [status(thm)], ['10', '1'])).
2.78/2.99	tff('12', plain,
2.78/2.99	    ![X0 : sk_A]:
2.78/2.99	      (~ 'const/sets/IN'(sk_A, X0, sk_A1) | 'const/sets/IN'(sk_A, X0, sk_A22)),
2.78/2.99	    inference('simplify', [status(thm)], ['11'])).
2.78/2.99	tff('13', plain,
2.78/2.99	    ![X4 : $tType, X7 : X4 > $o, X9 : X4 > $o]:
2.78/2.99	      (X7 = X9
2.78/2.99	       | ~ 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X9)
2.78/2.99	       | ~ 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X7)),
2.78/2.99	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
2.78/2.99	tff('14', plain,
2.78/2.99	    ![X0 : sk_A > $o]:
2.78/2.99	      (~ $true
2.78/2.99	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A22, X0), sk_A1)
2.78/2.99	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A22, X0), X0)
2.78/2.99	       | X0 = sk_A22),
2.78/2.99	    inference('sup-', [status(thm)], ['12', '13'])).
2.78/2.99	tff('15', plain,
2.78/2.99	    ![X0 : sk_A > $o]:
2.78/2.99	      (X0 = sk_A22
2.78/2.99	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A22, X0), X0)
2.78/2.99	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A22, X0), sk_A1)),
2.78/2.99	    inference('simplify', [status(thm)], ['14'])).
2.78/2.99	tff('16', plain,
2.78/2.99	    ![X15 : $tType, X17 : X15 > $o, X18 : X15 > $o]:
2.78/2.99	      ('const/sets/PSUBSET'(X15, X17, X18)
2.78/2.99	       | ~ 'const/sets/SUBSET'(X15, X17, X18)
2.78/2.99	       | X17 = X18),
2.78/2.99	    inference('cnf', [status(esa)], [thm/sets/PSUBSET_])).
2.78/2.99	tff('17', plain, ~ 'const/sets/PSUBSET'(sk_A, sk_A0, sk_A22),
2.78/2.99	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.78/2.99	tff('18', plain,
2.78/2.99	    (~ $true | sk_A0 = sk_A22 | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)),
2.78/2.99	    inference('sup-', [status(thm)], ['16', '17'])).
2.78/2.99	tff('19', plain,
2.78/2.99	    ![X10 : $tType, X12 : X10 > $o, X14 : X10 > $o]:
2.78/2.99	      ('const/sets/SUBSET'(X10, X12, X14)
2.78/2.99	       | 'const/sets/IN'(X10, sk_A21(X10, X14, X12), X12)),
2.78/2.99	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
2.78/2.99	tff('20', plain,
2.78/2.99	    ![X10 : $tType, X12 : X10 > $o, X14 : X10 > $o]:
2.78/2.99	      ('const/sets/SUBSET'(X10, X12, X14)
2.78/2.99	       | ~ 'const/sets/IN'(X10, sk_A21(X10, X14, X12), X14)),
2.78/2.99	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
2.78/2.99	tff('21', plain,
2.78/2.99	    ![X0 : sk_A > $o]:
2.78/2.99	      (~ $true
2.78/2.99	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), sk_A1)
2.78/2.99	       | 'const/sets/SUBSET'(sk_A, X0, sk_A22)),
2.78/2.99	    inference('sup-', [status(thm)], ['12', '20'])).
2.78/2.99	tff('22', plain,
2.78/2.99	    ![X0 : sk_A > $o]:
2.78/2.99	      ('const/sets/SUBSET'(sk_A, X0, sk_A22)
2.78/2.99	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), sk_A1)),
2.78/2.99	    inference('simplify', [status(thm)], ['21'])).
2.78/2.99	tff('23', plain,
2.78/2.99	    ![X0 : sk_A > $o]:
2.78/2.99	      (~ $true
2.78/2.99	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), sk_A0)
2.78/2.99	       | 'const/sets/SUBSET'(sk_A, X0, sk_A22)),
2.78/2.99	    inference('sup-', [status(thm)], ['9', '22'])).
2.78/2.99	tff('24', plain,
2.78/2.99	    ![X0 : sk_A > $o]:
2.78/2.99	      ('const/sets/SUBSET'(sk_A, X0, sk_A22)
2.78/2.99	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), sk_A0)),
2.78/2.99	    inference('simplify', [status(thm)], ['23'])).
2.78/2.99	tff('25', plain,
2.78/2.99	    (~ $true
2.78/2.99	     | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)
2.78/2.99	     | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)),
2.78/2.99	    inference('sup-', [status(thm)], ['19', '24'])).
2.78/2.99	tff('26', plain, 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22),
2.78/2.99	    inference('simplify', [status(thm)], ['25'])).
2.78/2.99	tff('27', plain, (~ $true | sk_A0 = sk_A22 | ~ $true),
2.78/2.99	    inference('demod', [status(thm)], ['18', '26'])).
2.78/2.99	tff('28', plain, sk_A0 = sk_A22, inference('simplify', [status(thm)], ['27'])).
2.78/2.99	tff('29', plain,
2.78/2.99	    ![X0 : sk_A > $o]:
2.78/2.99	      (X0 = sk_A0
2.78/2.99	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, X0), X0)
2.78/2.99	       | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, X0), sk_A1)),
2.78/2.99	    inference('demod', [status(thm)], ['15', '28', '28', '28'])).
2.78/2.99	tff('30', plain,
2.78/2.99	    (~ $true
2.78/2.99	     | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), sk_A0)
2.78/2.99	     | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), sk_A1)
2.78/2.99	     | sk_A1 = sk_A0),
2.78/2.99	    inference('sup-', [status(thm)], ['9', '29'])).
2.78/2.99	tff('31', plain,
2.78/2.99	    (sk_A1 = sk_A0
2.78/2.99	     | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), sk_A1)
2.78/2.99	     | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), sk_A0)),
2.78/2.99	    inference('simplify', [status(thm)], ['30'])).
2.78/2.99	tff('32', plain,
2.78/2.99	    ![X15 : $tType, X16 : X15 > $o, X17 : X15 > $o]:
2.78/2.99	      (X17 != X16 | ~ 'const/sets/PSUBSET'(X15, X17, X16)),
2.78/2.99	    inference('cnf', [status(esa)], [thm/sets/PSUBSET_])).
2.78/2.99	tff('33', plain, (~ $true | sk_A0 != sk_A1),
2.78/2.99	    inference('sup-', [status(thm)], ['4', '32'])).
2.78/2.99	tff('34', plain, sk_A0 != sk_A1, inference('simplify', [status(thm)], ['33'])).
2.78/2.99	tff('35', plain,
2.78/2.99	    (~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), sk_A1)
2.78/2.99	     | ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), sk_A0)),
2.78/2.99	    inference('simplify_reflect-', [status(thm)], ['31', '34'])).
2.78/2.99	tff('36', plain, ~ 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), sk_A0),
2.78/2.99	    inference('clc', [status(thm)], ['35', '9'])).
2.78/2.99	tff('37', plain,
2.78/2.99	    (~ $true
2.78/2.99	     | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), sk_A0)
2.78/2.99	     | sk_A1 = sk_A0
2.78/2.99	     | ~ 'const/sets/SUBSET'(sk_A, sk_A1, sk_A0)),
2.78/2.99	    inference('sup-', [status(thm)], ['3', '36'])).
2.78/2.99	tff('38', plain, 'const/sets/SUBSET'(sk_A, sk_A1, sk_A0),
2.78/2.99	    inference('demod', [status(thm)], ['10', '28'])).
2.78/2.99	tff('39', plain,
2.78/2.99	    (~ $true
2.78/2.99	     | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), sk_A0)
2.78/2.99	     | sk_A1 = sk_A0
2.78/2.99	     | ~ $true),
2.78/2.99	    inference('demod', [status(thm)], ['37', '38'])).
2.78/2.99	tff('40', plain,
2.78/2.99	    (sk_A1 = sk_A0 | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), sk_A0)),
2.78/2.99	    inference('simplify', [status(thm)], ['39'])).
2.78/2.99	tff('41', plain, 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A0, sk_A1), sk_A0),
2.78/2.99	    inference('simplify_reflect-', [status(thm)], ['40', '34'])).
2.78/2.99	tff('42', plain, ~ $true, inference('sup-', [status(thm)], ['41', '36'])).
2.78/2.99	tff('43', plain, $false, inference('simplify', [status(thm)], ['42'])).
2.78/2.99	
2.78/2.99	% SZS output end Refutation
2.78/3.00	EOF
