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    : purification_int
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n157.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:33:38 CST 2018
18.90/19.13	% done 1381 iterations in 18.926s
18.90/19.13	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
18.90/19.13	% SZS output start Refutation
18.90/19.13	tff('thm/sets/SUBSET_', axiom,
18.90/19.13	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
18.90/19.13	     ('const/sets/SUBSET'(A,A0,A1) <=>
18.90/19.13	      (![A2:A]: ('const/sets/IN'(A,A2,A0) => 'const/sets/IN'(A,A2,A1)))))).
18.90/19.13	tff('0', plain,
18.90/19.13	    ![X11 : $tType, X13 : X11 > $o, X15 : X11 > $o]:
18.90/19.13	      ('const/sets/SUBSET'(X11, X13, X15)
18.90/19.13	       | 'const/sets/IN'(X11, sk_A21(X11, X15, X13), X13)),
18.90/19.13	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
18.90/19.13	tff('thm/sets/IN_INTERS_', axiom,
18.90/19.13	  (![A:$tType,A0:(A > $o > $o),A1:A]:
18.90/19.13	     ('const/sets/IN'(A,A1,'const/sets/INTERS'(A,A0)) <=>
18.90/19.13	      (![A2:(A > $o)]:
18.90/19.13	         ('const/sets/IN'(A > $o,A2,A0) => 'const/sets/IN'(A,A1,A2)))))).
18.90/19.13	tff('1', plain,
18.90/19.13	    ![X6 : $tType, X8 : X6 > $o > $o, X10 : X6]:
18.90/19.13	      ('const/sets/IN'(X6, X10, 'const/sets/INTERS'(X6, X8))
18.90/19.13	       | 'const/sets/IN'((> $o, X6), sk_A2(X6, X10, X8), X8)),
18.90/19.13	    inference('cnf', [status(esa)], [thm/sets/IN_INTERS_])).
18.90/19.13	tff('thm/sets/SUBSET_INTERS_', conjecture,
18.90/19.13	  (![A:$tType,A0:(A > $o),A1:(A > $o > $o)]:
18.90/19.13	     ('const/sets/SUBSET'(A,A0,'const/sets/INTERS'(A,A1)) <=>
18.90/19.13	      (![A2:(A > $o)]:
18.90/19.13	         ('const/sets/IN'(A > $o,A2,A1) => 'const/sets/SUBSET'(A,A0,A2)))))).
18.90/19.13	tff(zf_stmt_0, negated_conjecture,
18.90/19.13	  (~
18.90/19.13	    (![A:$tType,A0:(A > $o),A1:(A > $o > $o)]:
18.90/19.13	       ('const/sets/SUBSET'(A,A0,'const/sets/INTERS'(A,A1)) <=>
18.90/19.13	        (![A2:(A > $o)]:
18.90/19.13	           ('const/sets/IN'(A > $o,A2,A1) => 'const/sets/SUBSET'(A,A0,A2))))))).
18.90/19.13	tff('2', plain,
18.90/19.13	    ![X16 : sk_A > $o]:
18.90/19.13	      (~ 'const/sets/IN'((> $o, sk_A), X16, sk_A1)
18.90/19.13	       | 'const/sets/SUBSET'(sk_A, sk_A0, X16)
18.90/19.13	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
18.90/19.13	    inference('cnf', [status(esa)], [zf_stmt_0])).
18.90/19.13	tff('3', plain,
18.90/19.13	    ![X0 : sk_A]:
18.90/19.13	      (~ $true
18.90/19.13	       | 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))
18.90/19.13	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
18.90/19.13	       | 'const/sets/SUBSET'(sk_A, sk_A0, sk_A2(sk_A, X0, sk_A1))),
18.90/19.13	    inference('sup-', [status(thm)], ['1', '2'])).
18.90/19.13	tff('4', plain,
18.90/19.13	    ![X0 : sk_A]:
18.90/19.13	      ('const/sets/SUBSET'(sk_A, sk_A0, sk_A2(sk_A, X0, sk_A1))
18.90/19.13	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
18.90/19.13	       | 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))),
18.90/19.13	    inference('simplify', [status(thm)], ['3'])).
18.90/19.13	tff('5', plain,
18.90/19.13	    ![X11 : $tType, X12 : X11, X13 : X11 > $o, X14 : X11 > $o]:
18.90/19.13	      (~ 'const/sets/IN'(X11, X12, X13)
18.90/19.13	       | 'const/sets/IN'(X11, X12, X14)
18.90/19.13	       | ~ 'const/sets/SUBSET'(X11, X13, X14)),
18.90/19.13	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
18.90/19.13	tff('6', plain,
18.90/19.13	    ![X6 : $tType, X8 : X6 > $o > $o, X10 : X6]:
18.90/19.13	      ('const/sets/IN'(X6, X10, 'const/sets/INTERS'(X6, X8))
18.90/19.13	       | ~ 'const/sets/IN'(X6, X10, sk_A2(X6, X10, X8))),
18.90/19.13	    inference('cnf', [status(esa)], [thm/sets/IN_INTERS_])).
18.90/19.13	tff('7', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0, X3 : X0 > $o]:
18.90/19.13	      (~ $true
18.90/19.13	       | ~ 'const/sets/SUBSET'(X0, X3, sk_A2(X0, X2, X1))
18.90/19.13	       | ~ 'const/sets/IN'(X0, X2, X3)
18.90/19.13	       | 'const/sets/IN'(X0, X2, 'const/sets/INTERS'(X0, X1))),
18.90/19.13	    inference('sup-', [status(thm)], ['5', '6'])).
18.90/19.13	tff('8', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0, X3 : X0 > $o]:
18.90/19.13	      ('const/sets/IN'(X0, X2, 'const/sets/INTERS'(X0, X1))
18.90/19.13	       | ~ 'const/sets/IN'(X0, X2, X3)
18.90/19.13	       | ~ 'const/sets/SUBSET'(X0, X3, sk_A2(X0, X2, X1))),
18.90/19.13	    inference('simplify', [status(thm)], ['7'])).
18.90/19.13	tff('9', plain,
18.90/19.13	    ![X0 : sk_A]:
18.90/19.13	      (~ $true
18.90/19.13	       | 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))
18.90/19.13	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
18.90/19.13	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)
18.90/19.13	       | 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))),
18.90/19.13	    inference('sup-', [status(thm)], ['4', '8'])).
18.90/19.13	tff('10', plain,
18.90/19.13	    ![X0 : sk_A]:
18.90/19.13	      (~ 'const/sets/IN'(sk_A, X0, sk_A0)
18.90/19.13	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
18.90/19.13	       | 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))),
18.90/19.13	    inference('simplify', [status(thm)], ['9'])).
18.90/19.13	tff('11', plain,
18.90/19.13	    ![X0 : sk_A]:
18.90/19.13	      ('const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))
18.90/19.13	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
18.90/19.13	    inference('clc', [status(thm)], ['10', '5'])).
18.90/19.13	tff('12', plain,
18.90/19.13	    ![X11 : $tType, X13 : X11 > $o, X15 : X11 > $o]:
18.90/19.13	      ('const/sets/SUBSET'(X11, X13, X15)
18.90/19.13	       | ~ 'const/sets/IN'(X11, sk_A21(X11, X15, X13), X15)),
18.90/19.13	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
18.90/19.13	tff('13', plain,
18.90/19.13	    ![X0 : sk_A > $o]:
18.90/19.13	      (~ $true
18.90/19.13	       | ~ 'const/sets/IN'(sk_A, 
18.90/19.13	             sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), X0), sk_A0)
18.90/19.13	       | 'const/sets/SUBSET'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))),
18.90/19.13	    inference('sup-', [status(thm)], ['11', '12'])).
18.90/19.13	tff('14', plain,
18.90/19.13	    ![X0 : sk_A > $o]:
18.90/19.13	      ('const/sets/SUBSET'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))
18.90/19.13	       | ~ 'const/sets/IN'(sk_A, 
18.90/19.13	             sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), X0), sk_A0)),
18.90/19.13	    inference('simplify', [status(thm)], ['13'])).
18.90/19.13	tff('15', plain,
18.90/19.13	    (~ $true
18.90/19.13	     | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
18.90/19.13	     | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
18.90/19.13	    inference('sup-', [status(thm)], ['0', '14'])).
18.90/19.13	tff('16', plain,
18.90/19.13	    'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1)),
18.90/19.13	    inference('simplify', [status(thm)], ['15'])).
18.90/19.13	tff('17', plain,
18.90/19.13	    ('const/sets/IN'((> $o, sk_A), sk_A22, sk_A1)
18.90/19.13	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
18.90/19.13	    inference('cnf', [status(esa)], [zf_stmt_0])).
18.90/19.13	tff('18', plain, (~ $true | 'const/sets/IN'((> $o, sk_A), sk_A22, sk_A1)),
18.90/19.13	    inference('sup-', [status(thm)], ['16', '17'])).
18.90/19.13	tff('19', plain, 'const/sets/IN'((> $o, sk_A), sk_A22, sk_A1),
18.90/19.13	    inference('simplify', [status(thm)], ['18'])).
18.90/19.13	tff('thm/sets/IN_', axiom,
18.90/19.13	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
18.90/19.13	tff('20', plain,
18.90/19.13	    ![X2 : $tType, X3 : X2 > $o, X4 : X2]:
18.90/19.13	      (X3(X4) | ~ 'const/sets/IN'(X2, X4, X3)),
18.90/19.13	    inference('cnf', [status(esa)], [thm/sets/IN_])).
18.90/19.13	tff('21', plain,
18.90/19.13	    ![X2 : $tType, X3 : X2 > $o, X4 : X2, X5 : X2 > $o]:
18.90/19.13	      (X5 != X3 | X3(X4) | ~ 'const/sets/IN'(X2, X4, X5)),
18.90/19.13	    inference('ho.purify_applied_variable', [status(thm)], ['20'])).
18.90/19.13	tff('22', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
18.90/19.13	      (~ $true
18.90/19.13	       | 'const/sets/SUBSET'(X0, X1, X2)
18.90/19.13	       | X3(sk_A21(X0, X2, X1))
18.90/19.13	       | X1 != X3),
18.90/19.13	    inference('sup-', [status(thm)], ['0', '21'])).
18.90/19.13	tff('23', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
18.90/19.13	      (X1 != X3 | X3(sk_A21(X0, X2, X1)) | 'const/sets/SUBSET'(X0, X1, X2)),
18.90/19.13	    inference('simplify', [status(thm)], ['22'])).
18.90/19.13	tff('24', plain,
18.90/19.13	    ![X2 : $tType, X3 : X2 > $o, X5 : X2]:
18.90/19.13	      ('const/sets/IN'(X2, X5, X3) | ~ X3(X5)),
18.90/19.13	    inference('cnf', [status(esa)], [thm/sets/IN_])).
18.90/19.13	tff('25', plain,
18.90/19.13	    ![X2 : $tType, X3 : X2 > $o, X5 : X2, X6 : X2 > $o]:
18.90/19.13	      (X6 != X3 | 'const/sets/IN'(X2, X5, X3) | ~ X6(X5)),
18.90/19.13	    inference('ho.purify_applied_variable', [status(thm)], ['24'])).
18.90/19.13	tff('26', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o, X4 : X0 > $o]:
18.90/19.13	      (~ $true
18.90/19.13	       | 'const/sets/SUBSET'(X0, X2, X3)
18.90/19.13	       | X2 != X1
18.90/19.13	       | 'const/sets/IN'(X0, sk_A21(X0, X3, X2), X4)
18.90/19.13	       | X1 != X4),
18.90/19.13	    inference('sup-', [status(thm)], ['23', '25'])).
18.90/19.13	tff('27', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o, X4 : X0 > $o]:
18.90/19.13	      (X1 != X4
18.90/19.13	       | 'const/sets/IN'(X0, sk_A21(X0, X3, X2), X4)
18.90/19.13	       | X2 != X1
18.90/19.13	       | 'const/sets/SUBSET'(X0, X2, X3)),
18.90/19.13	    inference('simplify', [status(thm)], ['26'])).
18.90/19.13	tff('28', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
18.90/19.13	      ('const/sets/SUBSET'(X0, X2, X1)
18.90/19.13	       | X2 != X3
18.90/19.13	       | 'const/sets/IN'(X0, sk_A21(X0, X1, X2), X3)),
18.90/19.13	    inference('eq_res', [status(thm)], ['27'])).
18.90/19.13	tff('29', plain,
18.90/19.13	    ![X6 : $tType, X7 : X6 > $o, X8 : X6 > $o > $o, X9 : X6]:
18.90/19.13	      (~ 'const/sets/IN'((> $o, X6), X7, X8)
18.90/19.13	       | 'const/sets/IN'(X6, X9, X7)
18.90/19.13	       | ~ 'const/sets/IN'(X6, X9, 'const/sets/INTERS'(X6, X8))),
18.90/19.13	    inference('cnf', [status(esa)], [thm/sets/IN_INTERS_])).
18.90/19.13	tff('30', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o > $o]:
18.90/19.13	      (~ $true
18.90/19.13	       | ~ 'const/sets/IN'(X0, sk_A21(X0, X1, X2), 
18.90/19.13	             'const/sets/INTERS'(X0, X3))
18.90/19.13	       | ~ 'const/sets/IN'((> $o, X0), X1, X3)
18.90/19.13	       | 'const/sets/SUBSET'(X0, X2, X1)),
18.90/19.13	    inference('sup-', [status(thm)], ['29', '12'])).
18.90/19.13	tff('31', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o > $o]:
18.90/19.13	      ('const/sets/SUBSET'(X0, X2, X1)
18.90/19.13	       | ~ 'const/sets/IN'((> $o, X0), X1, X3)
18.90/19.13	       | ~ 'const/sets/IN'(X0, sk_A21(X0, X1, X2), 
18.90/19.13	             'const/sets/INTERS'(X0, X3))),
18.90/19.13	    inference('simplify', [status(thm)], ['30'])).
18.90/19.13	tff('32', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0 > $o, X3 : X0 > $o]:
18.90/19.13	      (~ $true
18.90/19.13	       | X2 != 'const/sets/INTERS'(X0, X1)
18.90/19.13	       | 'const/sets/SUBSET'(X0, X2, X3)
18.90/19.13	       | ~ 'const/sets/IN'((> $o, X0), X3, X1)
18.90/19.13	       | 'const/sets/SUBSET'(X0, X2, X3)),
18.90/19.13	    inference('sup-', [status(thm)], ['28', '31'])).
18.90/19.13	tff('33', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0 > $o, X3 : X0 > $o]:
18.90/19.13	      (~ 'const/sets/IN'((> $o, X0), X3, X1)
18.90/19.13	       | 'const/sets/SUBSET'(X0, X2, X3)
18.90/19.13	       | X2 != 'const/sets/INTERS'(X0, X1)),
18.90/19.13	    inference('simplify', [status(thm)], ['32'])).
18.90/19.13	tff('34', plain,
18.90/19.13	    ![X0 : sk_A > $o]:
18.90/19.13	      (~ $true
18.90/19.13	       | X0 != 'const/sets/INTERS'(sk_A, sk_A1)
18.90/19.13	       | 'const/sets/SUBSET'(sk_A, X0, sk_A22)),
18.90/19.13	    inference('sup-', [status(thm)], ['19', '33'])).
18.90/19.13	tff('35', plain,
18.90/19.13	    ![X0 : sk_A > $o]:
18.90/19.13	      ('const/sets/SUBSET'(sk_A, X0, sk_A22)
18.90/19.13	       | X0 != 'const/sets/INTERS'(sk_A, sk_A1)),
18.90/19.13	    inference('simplify', [status(thm)], ['34'])).
18.90/19.13	tff('36', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
18.90/19.13	      (~ $true
18.90/19.13	       | 'const/sets/SUBSET'(X0, X1, X2)
18.90/19.13	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
18.90/19.13	       | 'const/sets/IN'(X0, sk_A21(X0, X2, X1), X3)),
18.90/19.13	    inference('sup-', [status(thm)], ['0', '5'])).
18.90/19.13	tff('37', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
18.90/19.13	      ('const/sets/IN'(X0, sk_A21(X0, X2, X1), X3)
18.90/19.13	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
18.90/19.13	       | 'const/sets/SUBSET'(X0, X1, X2)),
18.90/19.13	    inference('simplify', [status(thm)], ['36'])).
18.90/19.13	tff('38', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
18.90/19.13	      (~ $true
18.90/19.13	       | ~ 'const/sets/SUBSET'(X0, X3, X1)
18.90/19.13	       | ~ 'const/sets/IN'(X0, sk_A21(X0, X1, X2), X3)
18.90/19.13	       | 'const/sets/SUBSET'(X0, X2, X1)),
18.90/19.13	    inference('sup-', [status(thm)], ['5', '12'])).
18.90/19.13	tff('39', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
18.90/19.13	      ('const/sets/SUBSET'(X0, X2, X1)
18.90/19.13	       | ~ 'const/sets/IN'(X0, sk_A21(X0, X1, X2), X3)
18.90/19.13	       | ~ 'const/sets/SUBSET'(X0, X3, X1)),
18.90/19.13	    inference('simplify', [status(thm)], ['38'])).
18.90/19.13	tff('40', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
18.90/19.13	      (~ $true
18.90/19.13	       | 'const/sets/SUBSET'(X0, X2, X3)
18.90/19.13	       | ~ 'const/sets/SUBSET'(X0, X2, X1)
18.90/19.13	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
18.90/19.13	       | 'const/sets/SUBSET'(X0, X2, X3)),
18.90/19.13	    inference('sup-', [status(thm)], ['37', '39'])).
18.90/19.13	tff('41', plain,
18.90/19.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
18.90/19.13	      (~ 'const/sets/SUBSET'(X0, X1, X3)
18.90/19.13	       | ~ 'const/sets/SUBSET'(X0, X2, X1)
18.90/19.13	       | 'const/sets/SUBSET'(X0, X2, X3)),
18.90/19.13	    inference('simplify', [status(thm)], ['40'])).
18.90/19.13	tff('42', plain,
18.90/19.13	    (~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)
18.90/19.13	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
18.90/19.13	    inference('cnf', [status(esa)], [zf_stmt_0])).
18.90/19.13	tff('43', plain, (~ $true | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)),
18.90/19.13	    inference('sup-', [status(thm)], ['16', '42'])).
18.90/19.13	tff('44', plain, ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22),
18.90/19.13	    inference('simplify', [status(thm)], ['43'])).
18.90/19.13	tff('45', plain,
18.90/19.13	    ![X0 : sk_A > $o]:
18.90/19.13	      (~ $true
18.90/19.13	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, X0)
18.90/19.13	       | ~ 'const/sets/SUBSET'(sk_A, X0, sk_A22)),
18.90/19.13	    inference('sup-', [status(thm)], ['41', '44'])).
18.90/19.13	tff('46', plain,
18.90/19.13	    ![X0 : sk_A > $o]:
18.90/19.13	      (~ 'const/sets/SUBSET'(sk_A, X0, sk_A22)
18.90/19.13	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, X0)),
18.90/19.13	    inference('simplify', [status(thm)], ['45'])).
18.90/19.13	tff('47', plain,
18.90/19.13	    ![X0 : sk_A > $o]:
18.90/19.13	      (~ $true
18.90/19.13	       | X0 != 'const/sets/INTERS'(sk_A, sk_A1)
18.90/19.13	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, X0)),
18.90/19.13	    inference('sup-', [status(thm)], ['35', '46'])).
18.90/19.13	tff('48', plain,
18.90/19.13	    ![X0 : sk_A > $o]:
18.90/19.13	      (~ 'const/sets/SUBSET'(sk_A, sk_A0, X0)
18.90/19.13	       | X0 != 'const/sets/INTERS'(sk_A, sk_A1)),
18.90/19.13	    inference('simplify', [status(thm)], ['47'])).
18.90/19.13	tff('49', plain,
18.90/19.13	    (~ $true
18.90/19.13	     | 'const/sets/INTERS'(sk_A, sk_A1) != 'const/sets/INTERS'(sk_A, sk_A1)),
18.90/19.13	    inference('sup-', [status(thm)], ['16', '48'])).
18.90/19.13	tff('50', plain, $false, inference('simplify', [status(thm)], ['49'])).
18.90/19.13	
18.90/19.13	% SZS output end Refutation
18.90/19.14	EOF
