0.00/0.00	% File    : /export/starexec/sandbox2/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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n123.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:27:08 CST 2018
0.74/0.96	% done 691 iterations in 0.765s
0.74/0.96	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.74/0.96	% SZS output start Refutation
0.74/0.96	tff('thm/sets/PSUBSET_SUBSET_TRANS_', conjecture,
0.74/0.96	  (![A:$tType,A0:(A > $o),A1:(A > $o),A2:(A > $o)]:
0.74/0.96	     (('const/sets/SUBSET'(A,A1,A2) & 'const/sets/PSUBSET'(A,A0,A1)) =>
0.74/0.96	      'const/sets/PSUBSET'(A,A0,A2)))).
0.74/0.96	tff(zf_stmt_0, negated_conjecture,
0.74/0.96	  (~
0.74/0.96	    (![A:$tType,A0:(A > $o),A1:(A > $o),A2:(A > $o)]:
0.74/0.96	       (('const/sets/SUBSET'(A,A1,A2) & 'const/sets/PSUBSET'(A,A0,A1)) =>
0.74/0.96	        'const/sets/PSUBSET'(A,A0,A2))))).
0.74/0.96	tff('0', plain, 'const/sets/PSUBSET'(sk_A, sk_A0, sk_A1),
0.74/0.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.74/0.96	tff('thm/sets/EXTENSION_', axiom,
0.74/0.96	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.74/0.96	     ((A0 = A1) <=>
0.74/0.96	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
0.74/0.96	tff('1', plain,
0.74/0.96	    ![X4 : $tType, X7 : X4 > $o, X9 : X4 > $o]:
0.74/0.96	      (X7 = X9
0.74/0.96	       | 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X9)
0.74/0.96	       | 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X7)),
0.74/0.96	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
0.74/0.96	tff('2', plain, 'const/sets/SUBSET'(sk_A, sk_A1, sk_A22),
0.74/0.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.74/0.96	tff('thm/sets/SUBSET_', axiom,
0.74/0.96	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.74/0.96	     ('const/sets/SUBSET'(A,A0,A1) <=>
0.74/0.96	      (![A2:A]: ('const/sets/IN'(A,A2,A0) => 'const/sets/IN'(A,A2,A1)))))).
0.74/0.96	tff('3', plain,
0.74/0.96	    ![X10 : $tType, X11 : X10, X12 : X10 > $o, X13 : X10 > $o]:
0.74/0.96	      (~ 'const/sets/IN'(X10, X11, X12)
0.74/0.96	       | 'const/sets/IN'(X10, X11, X13)
0.74/0.96	       | ~ 'const/sets/SUBSET'(X10, X12, X13)),
0.74/0.96	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
0.74/0.96	tff('4', plain,
0.74/0.96	    ![X0 : sk_A]:
0.74/0.96	      (~ $true
0.74/0.96	       | 'const/sets/IN'(sk_A, X0, sk_A22)
0.74/0.96	       | ~ 'const/sets/IN'(sk_A, X0, sk_A1)),
0.74/0.96	    inference('sup-', [status(thm)], ['2', '3'])).
0.74/0.96	tff('5', plain,
0.74/0.96	    ![X0 : sk_A]:
0.74/0.96	      (~ 'const/sets/IN'(sk_A, X0, sk_A1) | 'const/sets/IN'(sk_A, X0, sk_A22)),
0.74/0.96	    inference('simplify', [status(thm)], ['4'])).
0.74/0.96	tff('thm/sets/IN_', axiom,
0.74/0.96	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
0.74/0.96	tff('6', plain,
0.74/0.96	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
0.74/0.96	      (X1(X2) | ~ 'const/sets/IN'(X0, X2, X1)),
0.74/0.96	    inference('cnf', [status(esa)], [thm/sets/IN_])).
0.74/0.96	tff('7', plain,
0.74/0.96	    ![X0 : sk_A]: (~ $true | ~ 'const/sets/IN'(sk_A, X0, sk_A1) | sk_A22(X0)),
0.74/0.96	    inference('sup-', [status(thm)], ['5', '6'])).
0.74/0.96	tff('8', plain,
0.74/0.96	    ![X0 : sk_A]: (sk_A22(X0) | ~ 'const/sets/IN'(sk_A, X0, sk_A1)),
0.74/0.96	    inference('simplify', [status(thm)], ['7'])).
0.74/0.96	tff('9', plain,
0.74/0.96	    ![X0 : sk_A > $o]:
0.74/0.96	      (~ $true
0.74/0.96	       | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)
0.74/0.96	       | X0 = sk_A1
0.74/0.96	       | sk_A22(sk_A2(sk_A, sk_A1, X0))),
0.74/0.96	    inference('sup-', [status(thm)], ['1', '8'])).
0.74/0.96	tff('10', plain,
0.74/0.96	    ![X0 : sk_A > $o]:
0.74/0.96	      (sk_A22(sk_A2(sk_A, sk_A1, X0))
0.74/0.96	       | X0 = sk_A1
0.74/0.96	       | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)),
0.74/0.96	    inference('simplify', [status(thm)], ['9'])).
0.74/0.96	tff('11', plain,
0.74/0.96	    ![X10 : $tType, X12 : X10 > $o, X14 : X10 > $o]:
0.74/0.96	      ('const/sets/SUBSET'(X10, X12, X14)
0.74/0.96	       | 'const/sets/IN'(X10, sk_A21(X10, X14, X12), X12)),
0.74/0.96	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
0.74/0.96	tff('thm/sets/PSUBSET_', axiom,
0.74/0.96	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.74/0.96	     ('const/sets/PSUBSET'(A,A0,A1) <=>
0.74/0.96	      ((A0 != A1) & 'const/sets/SUBSET'(A,A0,A1))))).
0.74/0.96	tff('12', plain,
0.74/0.96	    ![X15 : $tType, X16 : X15 > $o, X17 : X15 > $o]:
0.74/0.96	      ('const/sets/SUBSET'(X15, X17, X16)
0.74/0.96	       | ~ 'const/sets/PSUBSET'(X15, X17, X16)),
0.74/0.96	    inference('cnf', [status(esa)], [thm/sets/PSUBSET_])).
0.74/0.96	tff('13', plain, (~ $true | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)),
0.74/0.96	    inference('sup-', [status(thm)], ['0', '12'])).
0.74/0.96	tff('14', plain, 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1),
0.74/0.96	    inference('simplify', [status(thm)], ['13'])).
0.74/0.96	tff('15', plain,
0.74/0.96	    ![X0 : sk_A]:
0.74/0.96	      (~ $true
0.74/0.96	       | 'const/sets/IN'(sk_A, X0, sk_A1)
0.74/0.96	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
0.74/0.96	    inference('sup-', [status(thm)], ['14', '3'])).
0.74/0.96	tff('16', plain,
0.74/0.96	    ![X0 : sk_A]:
0.74/0.96	      (~ 'const/sets/IN'(sk_A, X0, sk_A0) | 'const/sets/IN'(sk_A, X0, sk_A1)),
0.74/0.96	    inference('simplify', [status(thm)], ['15'])).
0.74/0.96	tff('17', plain,
0.74/0.96	    ![X0 : sk_A]: (~ $true | ~ 'const/sets/IN'(sk_A, X0, sk_A0) | sk_A22(X0)),
0.74/0.96	    inference('sup-', [status(thm)], ['16', '8'])).
0.74/0.96	tff('18', plain,
0.74/0.96	    ![X0 : sk_A]: (sk_A22(X0) | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
0.74/0.96	    inference('simplify', [status(thm)], ['17'])).
0.74/0.96	tff('19', plain,
0.74/0.96	    ![X0 : sk_A > $o]:
0.74/0.96	      (~ $true
0.74/0.96	       | 'const/sets/SUBSET'(sk_A, sk_A0, X0)
0.74/0.96	       | sk_A22(sk_A21(sk_A, X0, sk_A0))),
0.74/0.96	    inference('sup-', [status(thm)], ['11', '18'])).
0.74/0.96	tff('20', plain,
0.74/0.96	    ![X0 : sk_A > $o]:
0.74/0.96	      (sk_A22(sk_A21(sk_A, X0, sk_A0)) | 'const/sets/SUBSET'(sk_A, sk_A0, X0)),
0.74/0.96	    inference('simplify', [status(thm)], ['19'])).
0.74/0.96	tff('21', plain,
0.74/0.96	    ![X0 : $tType, X1 : X0 > $o, X3 : X0]:
0.74/0.96	      ('const/sets/IN'(X0, X3, X1) | ~ X1(X3)),
0.74/0.96	    inference('cnf', [status(esa)], [thm/sets/IN_])).
0.74/0.96	tff('22', plain,
0.74/0.96	    ![X10 : $tType, X12 : X10 > $o, X14 : X10 > $o]:
0.74/0.96	      ('const/sets/SUBSET'(X10, X12, X14)
0.74/0.96	       | ~ 'const/sets/IN'(X10, sk_A21(X10, X14, X12), X14)),
0.74/0.96	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
0.74/0.96	tff('23', plain,
0.74/0.96	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.74/0.96	      (~ $true | ~ X1(sk_A21(X0, X1, X2)) | 'const/sets/SUBSET'(X0, X2, X1)),
0.74/0.96	    inference('sup-', [status(thm)], ['21', '22'])).
0.74/0.96	tff('24', plain,
0.74/0.96	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.74/0.96	      ('const/sets/SUBSET'(X0, X2, X1) | ~ X1(sk_A21(X0, X1, X2))),
0.74/0.96	    inference('simplify', [status(thm)], ['23'])).
0.74/0.96	tff('25', plain,
0.74/0.96	    (~ $true
0.74/0.96	     | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)
0.74/0.96	     | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)),
0.74/0.96	    inference('sup-', [status(thm)], ['20', '24'])).
0.74/0.96	tff('26', plain, 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22),
0.74/0.96	    inference('simplify', [status(thm)], ['25'])).
0.74/0.96	tff('27', plain,
0.74/0.96	    ![X15 : $tType, X17 : X15 > $o, X18 : X15 > $o]:
0.74/0.96	      ('const/sets/PSUBSET'(X15, X17, X18)
0.74/0.96	       | ~ 'const/sets/SUBSET'(X15, X17, X18)
0.74/0.96	       | X17 = X18),
0.74/0.96	    inference('cnf', [status(esa)], [thm/sets/PSUBSET_])).
0.74/0.96	tff('28', plain, ~ 'const/sets/PSUBSET'(sk_A, sk_A0, sk_A22),
0.74/0.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.74/0.96	tff('29', plain,
0.74/0.96	    (~ $true | sk_A0 = sk_A22 | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)),
0.74/0.96	    inference('sup-', [status(thm)], ['27', '28'])).
0.74/0.96	tff('30', plain,
0.74/0.96	    (~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22) | sk_A0 = sk_A22),
0.74/0.96	    inference('simplify', [status(thm)], ['29'])).
0.74/0.96	tff('31', plain, (~ $true | sk_A0 = sk_A22),
0.74/0.96	    inference('sup-', [status(thm)], ['26', '30'])).
0.74/0.96	tff('32', plain, sk_A0 = sk_A22, inference('simplify', [status(thm)], ['31'])).
0.74/0.96	tff('33', plain, ![X1 : sk_A]: sk_A0(X1) = sk_A22(X1),
0.74/0.96	    inference('ho_complete_eq', [status(thm)], ['32'])).
0.74/0.96	tff('34', plain,
0.74/0.96	    ![X0 : sk_A > $o]:
0.74/0.96	      (sk_A0(sk_A2(sk_A, sk_A1, X0))
0.74/0.96	       | X0 = sk_A1
0.74/0.96	       | 'const/sets/IN'(sk_A, sk_A2(sk_A, sk_A1, X0), X0)),
0.74/0.96	    inference('demod', [status(thm)], ['10', '33'])).
0.74/0.96	tff('35', plain,
0.74/0.96	    ![X0 : sk_A, X1 : sk_A > $o]:
0.74/0.96	      (~ $true
0.74/0.96	       | ~ 'const/sets/SUBSET'(sk_A, X1, sk_A1)
0.74/0.96	       | ~ 'const/sets/IN'(sk_A, X0, X1)
0.74/0.96	       | sk_A22(X0)),
0.74/0.96	    inference('sup-', [status(thm)], ['3', '8'])).
0.74/0.96	tff('36', plain,
0.74/0.96	    ![X0 : sk_A, X1 : sk_A > $o]:
0.74/0.96	      (sk_A22(X0)
0.74/0.96	       | ~ 'const/sets/IN'(sk_A, X0, X1)
0.74/0.96	       | ~ 'const/sets/SUBSET'(sk_A, X1, sk_A1)),
0.74/0.96	    inference('simplify', [status(thm)], ['35'])).
0.74/0.96	tff('37', plain,
0.74/0.96	    ![X0 : sk_A, X1 : sk_A > $o]:
0.74/0.96	      (sk_A0(X0)
0.74/0.96	       | ~ 'const/sets/IN'(sk_A, X0, X1)
0.74/0.96	       | ~ 'const/sets/SUBSET'(sk_A, X1, sk_A1)),
0.74/0.96	    inference('demod', [status(thm)], ['36', '33'])).
0.74/0.96	tff('38', plain,
0.74/0.96	    ![X0 : sk_A > $o]:
0.74/0.96	      (~ $true
0.74/0.96	       | X0 = sk_A1
0.74/0.96	       | sk_A0(sk_A2(sk_A, sk_A1, X0))
0.74/0.96	       | ~ 'const/sets/SUBSET'(sk_A, X0, sk_A1)
0.74/0.96	       | sk_A0(sk_A2(sk_A, sk_A1, X0))),
0.74/0.96	    inference('sup-', [status(thm)], ['34', '37'])).
0.74/0.96	tff('39', plain,
0.74/0.96	    ![X0 : sk_A > $o]:
0.74/0.96	      (~ 'const/sets/SUBSET'(sk_A, X0, sk_A1)
0.74/0.96	       | sk_A0(sk_A2(sk_A, sk_A1, X0))
0.74/0.96	       | X0 = sk_A1),
0.74/0.96	    inference('simplify', [status(thm)], ['38'])).
0.74/0.96	tff('40', plain,
0.74/0.96	    ![X0 : sk_A]: (~ $true | ~ 'const/sets/IN'(sk_A, X0, sk_A0) | sk_A1(X0)),
0.74/0.96	    inference('sup-', [status(thm)], ['16', '6'])).
0.74/0.96	tff('41', plain,
0.74/0.96	    ![X0 : sk_A]: (sk_A1(X0) | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
0.74/0.96	    inference('simplify', [status(thm)], ['40'])).
0.74/0.96	tff('42', plain, ![X0 : sk_A]: (~ $true | ~ sk_A0(X0) | sk_A1(X0)),
0.74/0.96	    inference('sup-', [status(thm)], ['21', '41'])).
0.74/0.96	tff('43', plain, ![X0 : sk_A]: (sk_A1(X0) | ~ sk_A0(X0)),
0.74/0.96	    inference('simplify', [status(thm)], ['42'])).
0.74/0.96	tff('44', plain,
0.74/0.96	    ![X0 : sk_A]:
0.74/0.96	      (~ 'const/sets/IN'(sk_A, X0, sk_A1) | 'const/sets/IN'(sk_A, X0, sk_A0)),
0.74/0.96	    inference('demod', [status(thm)], ['5', '32'])).
0.74/0.96	tff('45', plain,
0.74/0.96	    ![X0 : sk_A]: (~ $true | ~ sk_A1(X0) | 'const/sets/IN'(sk_A, X0, sk_A0)),
0.74/0.96	    inference('sup-', [status(thm)], ['21', '44'])).
0.74/0.96	tff('46', plain,
0.74/0.96	    ![X0 : sk_A]: ('const/sets/IN'(sk_A, X0, sk_A0) | ~ sk_A1(X0)),
0.74/0.96	    inference('simplify', [status(thm)], ['45'])).
0.74/0.96	tff('47', plain,
0.74/0.96	    ![X4 : $tType, X7 : X4 > $o, X9 : X4 > $o]:
0.74/0.96	      (X7 = X9
0.74/0.96	       | ~ 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X9)
0.74/0.96	       | ~ 'const/sets/IN'(X4, sk_A2(X4, X9, X7), X7)),
0.74/0.96	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
0.74/0.96	tff('48', plain,
0.74/0.96	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.74/0.96	      (~ $true
0.74/0.96	       | ~ X1(sk_A2(X0, X1, X2))
0.74/0.96	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
0.74/0.96	       | X2 = X1),
0.74/0.96	    inference('sup-', [status(thm)], ['21', '47'])).
0.74/0.96	tff('49', plain,
0.74/0.96	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.74/0.96	      (X2 = X1
0.74/0.96	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
0.74/0.96	       | ~ X1(sk_A2(X0, X1, X2))),
0.74/0.96	    inference('simplify', [status(thm)], ['48'])).
0.74/0.96	tff('50', plain,
0.74/0.96	    ![X0 : sk_A > $o]:
0.74/0.96	      (~ $true
0.74/0.96	       | ~ sk_A1(sk_A2(sk_A, X0, sk_A0))
0.74/0.96	       | ~ X0(sk_A2(sk_A, X0, sk_A0))
0.74/0.96	       | sk_A0 = X0),
0.74/0.96	    inference('sup-', [status(thm)], ['46', '49'])).
0.74/0.96	tff('51', plain,
0.74/0.96	    ![X0 : sk_A > $o]:
0.74/0.96	      (sk_A0 = X0
0.74/0.96	       | ~ X0(sk_A2(sk_A, X0, sk_A0))
0.74/0.96	       | ~ sk_A1(sk_A2(sk_A, X0, sk_A0))),
0.74/0.96	    inference('simplify', [status(thm)], ['50'])).
0.74/0.96	tff('52', plain,
0.74/0.96	    (~ $true
0.74/0.96	     | ~ sk_A0(sk_A2(sk_A, sk_A1, sk_A0))
0.74/0.96	     | ~ sk_A1(sk_A2(sk_A, sk_A1, sk_A0))
0.74/0.96	     | sk_A0 = sk_A1),
0.74/0.96	    inference('sup-', [status(thm)], ['43', '51'])).
0.74/0.96	tff('53', plain,
0.74/0.96	    (sk_A0 = sk_A1
0.74/0.96	     | ~ sk_A1(sk_A2(sk_A, sk_A1, sk_A0))
0.74/0.96	     | ~ sk_A0(sk_A2(sk_A, sk_A1, sk_A0))),
0.74/0.96	    inference('simplify', [status(thm)], ['52'])).
0.74/0.96	tff('54', plain, (~ sk_A0(sk_A2(sk_A, sk_A1, sk_A0)) | sk_A0 = sk_A1),
0.74/0.96	    inference('clc', [status(thm)], ['53', '43'])).
0.74/0.96	tff('55', plain,
0.74/0.96	    (~ $true
0.74/0.96	     | sk_A0 = sk_A1
0.74/0.96	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1)
0.74/0.96	     | sk_A0 = sk_A1),
0.74/0.96	    inference('sup-', [status(thm)], ['39', '54'])).
0.74/0.96	tff('56', plain, (~ $true | sk_A0 = sk_A1 | ~ $true | sk_A0 = sk_A1),
0.74/0.96	    inference('demod', [status(thm)], ['55', '14'])).
0.74/0.96	tff('57', plain, sk_A0 = sk_A1, inference('simplify', [status(thm)], ['56'])).
0.74/0.96	tff('58', plain, 'const/sets/PSUBSET'(sk_A, sk_A0, sk_A0),
0.74/0.96	    inference('demod', [status(thm)], ['0', '57'])).
0.74/0.96	tff('59', plain, ~ 'const/sets/PSUBSET'(sk_A, sk_A0, sk_A0),
0.74/0.96	    inference('demod', [status(thm)], ['28', '32'])).
0.74/0.96	tff('60', plain, ~ $true, inference('sup-', [status(thm)], ['58', '59'])).
0.74/0.96	tff('61', plain, $false, inference('simplify', [status(thm)], ['60'])).
0.74/0.96	
0.74/0.96	% SZS output end Refutation
0.74/0.96	EOF
