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    : supatvars_ext
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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --sup-at-vars \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n187.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:33:53 CST 2018
213.59/213.80	% done 11537 iterations in 213.591s
213.59/213.80	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
213.59/213.80	% SZS output start Refutation
213.59/213.80	tff('thm/sets/IN_INTERS_', axiom,
213.59/213.80	  (![A:$tType,A0:(A > $o > $o),A1:A]:
213.59/213.80	     ('const/sets/IN'(A,A1,'const/sets/INTERS'(A,A0)) <=>
213.59/213.80	      (![A2:(A > $o)]:
213.59/213.80	         ('const/sets/IN'(A > $o,A2,A0) => 'const/sets/IN'(A,A1,A2)))))).
213.59/213.80	tff('0', plain,
213.59/213.80	    ![X6 : $tType, X8 : X6 > $o > $o, X10 : X6]:
213.59/213.80	      ('const/sets/IN'(X6, X10, 'const/sets/INTERS'(X6, X8))
213.59/213.80	       | 'const/sets/IN'((> $o, X6), sk_A2(X6, X10, X8), X8)),
213.59/213.80	    inference('cnf', [status(esa)], [thm/sets/IN_INTERS_])).
213.59/213.80	tff('thm/sets/SUBSET_INTERS_', conjecture,
213.59/213.80	  (![A:$tType,A0:(A > $o),A1:(A > $o > $o)]:
213.59/213.80	     ('const/sets/SUBSET'(A,A0,'const/sets/INTERS'(A,A1)) <=>
213.59/213.80	      (![A2:(A > $o)]:
213.59/213.80	         ('const/sets/IN'(A > $o,A2,A1) => 'const/sets/SUBSET'(A,A0,A2)))))).
213.59/213.80	tff(zf_stmt_0, negated_conjecture,
213.59/213.80	  (~
213.59/213.80	    (![A:$tType,A0:(A > $o),A1:(A > $o > $o)]:
213.59/213.80	       ('const/sets/SUBSET'(A,A0,'const/sets/INTERS'(A,A1)) <=>
213.59/213.80	        (![A2:(A > $o)]:
213.59/213.80	           ('const/sets/IN'(A > $o,A2,A1) => 'const/sets/SUBSET'(A,A0,A2))))))).
213.59/213.80	tff('1', plain,
213.59/213.80	    ![X16 : sk_A > $o]:
213.59/213.80	      (~ 'const/sets/IN'((> $o, sk_A), X16, sk_A1)
213.59/213.80	       | 'const/sets/SUBSET'(sk_A, sk_A0, X16)
213.59/213.80	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
213.59/213.80	    inference('cnf', [status(esa)], [zf_stmt_0])).
213.59/213.80	tff('thm/sets/SUBSET_', axiom,
213.59/213.80	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
213.59/213.80	     ('const/sets/SUBSET'(A,A0,A1) <=>
213.59/213.80	      (![A2:A]: ('const/sets/IN'(A,A2,A0) => 'const/sets/IN'(A,A2,A1)))))).
213.59/213.80	tff('2', plain,
213.59/213.80	    ![X11 : $tType, X13 : X11 > $o, X15 : X11 > $o]:
213.59/213.80	      ('const/sets/SUBSET'(X11, X13, X15)
213.59/213.80	       | 'const/sets/IN'(X11, sk_A21(X11, X15, X13), X13)),
213.59/213.80	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
213.59/213.80	tff('3', plain,
213.59/213.80	    ('const/sets/IN'((> $o, sk_A), sk_A22, sk_A1)
213.59/213.80	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
213.59/213.80	    inference('cnf', [status(esa)], [zf_stmt_0])).
213.59/213.80	tff('4', plain,
213.59/213.80	    ![X6 : $tType, X7 : X6 > $o, X8 : X6 > $o > $o, X9 : X6]:
213.59/213.80	      (~ 'const/sets/IN'((> $o, X6), X7, X8)
213.59/213.80	       | 'const/sets/IN'(X6, X9, X7)
213.59/213.80	       | ~ 'const/sets/IN'(X6, X9, 'const/sets/INTERS'(X6, X8))),
213.59/213.80	    inference('cnf', [status(esa)], [thm/sets/IN_INTERS_])).
213.59/213.80	tff('5', plain,
213.59/213.80	    ![X0 : sk_A]:
213.59/213.80	      (~ $true
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
213.59/213.80	       | ~ 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))
213.59/213.80	       | 'const/sets/IN'(sk_A, X0, sk_A22)),
213.59/213.80	    inference('sup-', [status(thm)], ['3', '4'])).
213.59/213.80	tff('6', plain,
213.59/213.80	    ![X0 : sk_A]:
213.59/213.80	      ('const/sets/IN'(sk_A, X0, sk_A22)
213.59/213.80	       | ~ 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
213.59/213.80	    inference('simplify', [status(thm)], ['5'])).
213.59/213.80	tff('7', plain,
213.59/213.80	    ![X11 : $tType, X13 : X11 > $o, X15 : X11 > $o]:
213.59/213.80	      ('const/sets/SUBSET'(X11, X13, X15)
213.59/213.80	       | ~ 'const/sets/IN'(X11, sk_A21(X11, X15, X13), X15)),
213.59/213.80	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
213.59/213.80	tff('8', plain,
213.59/213.80	    ![X0 : sk_A > $o]:
213.59/213.80	      (~ $true
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
213.59/213.80	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), 
213.59/213.80	             'const/sets/INTERS'(sk_A, sk_A1))
213.59/213.80	       | 'const/sets/SUBSET'(sk_A, X0, sk_A22)),
213.59/213.80	    inference('sup-', [status(thm)], ['6', '7'])).
213.59/213.80	tff('9', plain,
213.59/213.80	    ![X0 : sk_A > $o]:
213.59/213.80	      ('const/sets/SUBSET'(sk_A, X0, sk_A22)
213.59/213.80	       | ~ 'const/sets/IN'(sk_A, sk_A21(sk_A, sk_A22, X0), 
213.59/213.80	             'const/sets/INTERS'(sk_A, sk_A1))
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
213.59/213.80	    inference('simplify', [status(thm)], ['8'])).
213.59/213.80	tff('10', plain,
213.59/213.80	    (~ $true
213.59/213.80	     | 'const/sets/SUBSET'(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), sk_A22)
213.59/213.80	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
213.59/213.80	     | 'const/sets/SUBSET'(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), sk_A22)),
213.59/213.80	    inference('sup-', [status(thm)], ['2', '9'])).
213.59/213.80	tff('11', plain,
213.59/213.80	    (~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
213.59/213.80	     | 'const/sets/SUBSET'(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), sk_A22)),
213.59/213.80	    inference('simplify', [status(thm)], ['10'])).
213.59/213.80	tff('12', plain,
213.59/213.80	    ![X11 : $tType, X12 : X11, X13 : X11 > $o, X14 : X11 > $o]:
213.59/213.80	      (~ 'const/sets/IN'(X11, X12, X13)
213.59/213.80	       | 'const/sets/IN'(X11, X12, X14)
213.59/213.80	       | ~ 'const/sets/SUBSET'(X11, X13, X14)),
213.59/213.80	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
213.59/213.80	tff('13', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
213.59/213.80	      (~ $true
213.59/213.80	       | 'const/sets/SUBSET'(X0, X1, X2)
213.59/213.80	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
213.59/213.80	       | 'const/sets/IN'(X0, sk_A21(X0, X2, X1), X3)),
213.59/213.80	    inference('sup-', [status(thm)], ['2', '12'])).
213.59/213.80	tff('14', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
213.59/213.80	      ('const/sets/IN'(X0, sk_A21(X0, X2, X1), X3)
213.59/213.80	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
213.59/213.80	       | 'const/sets/SUBSET'(X0, X1, X2)),
213.59/213.80	    inference('simplify', [status(thm)], ['13'])).
213.59/213.80	tff('15', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
213.59/213.80	      (~ $true
213.59/213.80	       | ~ 'const/sets/SUBSET'(X0, X3, X1)
213.59/213.80	       | ~ 'const/sets/IN'(X0, sk_A21(X0, X1, X2), X3)
213.59/213.80	       | 'const/sets/SUBSET'(X0, X2, X1)),
213.59/213.80	    inference('sup-', [status(thm)], ['12', '7'])).
213.59/213.80	tff('16', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
213.59/213.80	      ('const/sets/SUBSET'(X0, X2, X1)
213.59/213.80	       | ~ 'const/sets/IN'(X0, sk_A21(X0, X1, X2), X3)
213.59/213.80	       | ~ 'const/sets/SUBSET'(X0, X3, X1)),
213.59/213.80	    inference('simplify', [status(thm)], ['15'])).
213.59/213.80	tff('17', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
213.59/213.80	      (~ $true
213.59/213.80	       | 'const/sets/SUBSET'(X0, X2, X3)
213.59/213.80	       | ~ 'const/sets/SUBSET'(X0, X2, X1)
213.59/213.80	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
213.59/213.80	       | 'const/sets/SUBSET'(X0, X2, X3)),
213.59/213.80	    inference('sup-', [status(thm)], ['14', '16'])).
213.59/213.80	tff('18', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
213.59/213.80	      (~ 'const/sets/SUBSET'(X0, X1, X3)
213.59/213.80	       | ~ 'const/sets/SUBSET'(X0, X2, X1)
213.59/213.80	       | 'const/sets/SUBSET'(X0, X2, X3)),
213.59/213.80	    inference('simplify', [status(thm)], ['17'])).
213.59/213.80	tff('19', plain,
213.59/213.80	    (~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)
213.59/213.80	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
213.59/213.80	    inference('cnf', [status(esa)], [zf_stmt_0])).
213.59/213.80	tff('20', plain,
213.59/213.80	    ![X0 : sk_A > $o]:
213.59/213.80	      (~ $true
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, X0)
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, X0, sk_A22)
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
213.59/213.80	    inference('sup-', [status(thm)], ['18', '19'])).
213.59/213.80	tff('21', plain,
213.59/213.80	    ![X0 : sk_A > $o]:
213.59/213.80	      (~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, X0, sk_A22)
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, X0)),
213.59/213.80	    inference('simplify', [status(thm)], ['20'])).
213.59/213.80	tff('22', plain,
213.59/213.80	    (~ $true
213.59/213.80	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
213.59/213.80	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
213.59/213.80	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
213.59/213.80	    inference('sup-', [status(thm)], ['11', '21'])).
213.59/213.80	tff('23', plain,
213.59/213.80	    ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1)),
213.59/213.80	    inference('simplify', [status(thm)], ['22'])).
213.59/213.80	tff('24', plain,
213.59/213.80	    ![X0 : sk_A > $o]:
213.59/213.80	      (~ $true
213.59/213.80	       | 'const/sets/SUBSET'(sk_A, sk_A0, X0)
213.59/213.80	       | ~ 'const/sets/IN'((> $o, sk_A), X0, sk_A1)),
213.59/213.80	    inference('sup-', [status(thm)], ['1', '23'])).
213.59/213.80	tff('25', plain,
213.59/213.80	    ![X0 : sk_A > $o]:
213.59/213.80	      (~ 'const/sets/IN'((> $o, sk_A), X0, sk_A1)
213.59/213.80	       | 'const/sets/SUBSET'(sk_A, sk_A0, X0)),
213.59/213.80	    inference('simplify', [status(thm)], ['24'])).
213.59/213.80	tff('thm/trivia/I_THM_', axiom,
213.59/213.80	  (![A:$tType,A0:A]: ('const/trivia/I'(A,A0) = A0))).
213.59/213.80	tff('26', plain, ![X0 : $tType, X1 : X0]: 'const/trivia/I'(X0, X1) = X1,
213.59/213.80	    inference('cnf', [status(esa)], [thm/trivia/I_THM_])).
213.59/213.80	tff('thm/sets/IN_', axiom,
213.59/213.80	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
213.59/213.80	tff('27', plain,
213.59/213.80	    ![X2 : $tType, X3 : X2 > $o, X4 : X2]:
213.59/213.80	      (X3(X4) | ~ 'const/sets/IN'(X2, X4, X3)),
213.59/213.80	    inference('cnf', [status(esa)], [thm/sets/IN_])).
213.59/213.80	tff('28', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
213.59/213.80	      (~ $true | 'const/sets/SUBSET'(X0, X1, X2) | X1(sk_A21(X0, X2, X1))),
213.59/213.80	    inference('sup-', [status(thm)], ['2', '27'])).
213.59/213.80	tff('29', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
213.59/213.80	      (X1(sk_A21(X0, X2, X1)) | 'const/sets/SUBSET'(X0, X1, X2)),
213.59/213.80	    inference('simplify', [status(thm)], ['28'])).
213.59/213.80	tff('30', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
213.59/213.80	      ('const/trivia/I'((> $o, X0), X1, sk_A21(X0, X2, X1))
213.59/213.80	       | 'const/sets/SUBSET'(X0, 'const/trivia/I'((> $o, X0), X1), X2)),
213.59/213.80	    inference('sup+', [status(thm)], ['26', '29'])).
213.59/213.80	tff('31', plain,
213.59/213.80	    ![X2 : $tType, X3 : X2 > $o, X5 : X2]:
213.59/213.80	      ('const/sets/IN'(X2, X5, X3) | ~ X3(X5)),
213.59/213.80	    inference('cnf', [status(esa)], [thm/sets/IN_])).
213.59/213.80	tff('32', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
213.59/213.80	      (~ $true
213.59/213.80	       | 'const/sets/SUBSET'(X0, 'const/trivia/I'((> $o, X0), X1), X2)
213.59/213.80	       | 'const/sets/IN'(X0, sk_A21(X0, X2, X1), 
213.59/213.80	           'const/trivia/I'((> $o, X0), X1))),
213.59/213.80	    inference('sup-', [status(thm)], ['30', '31'])).
213.59/213.80	tff('33', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
213.59/213.80	      ('const/sets/IN'(X0, sk_A21(X0, X2, X1), 
213.59/213.80	         'const/trivia/I'((> $o, X0), X1))
213.59/213.80	       | 'const/sets/SUBSET'(X0, 'const/trivia/I'((> $o, X0), X1), X2)),
213.59/213.80	    inference('simplify', [status(thm)], ['32'])).
213.59/213.80	tff('34', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
213.59/213.80	      ('const/sets/IN'(X0, sk_A21(X0, X2, X1), X1)
213.59/213.80	       | 'const/sets/SUBSET'(X0, 'const/trivia/I'((> $o, X0), X1), X2)),
213.59/213.80	    inference('sup+', [status(thm)], ['26', '33'])).
213.59/213.80	tff('35', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
213.59/213.80	      (~ $true
213.59/213.80	       | 'const/sets/IN'(X0, sk_A21(X0, X2, X1), X1)
213.59/213.80	       | 'const/sets/IN'((> $o, X0), X2, 
213.59/213.80	           'const/sets/SUBSET'(X0, 'const/trivia/I'((> $o, X0), X1)))),
213.59/213.80	    inference('sup-', [status(thm)], ['34', '31'])).
213.59/213.80	tff('36', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
213.59/213.80	      ('const/sets/IN'((> $o, X0), X2, 
213.59/213.80	         'const/sets/SUBSET'(X0, 'const/trivia/I'((> $o, X0), X1)))
213.59/213.80	       | 'const/sets/IN'(X0, sk_A21(X0, X2, X1), X1)),
213.59/213.80	    inference('simplify', [status(thm)], ['35'])).
213.59/213.80	tff('37', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
213.59/213.80	      ('const/sets/SUBSET'(X0, X1, X2)
213.59/213.80	       | 'const/sets/IN'(X0, sk_A21(X0, X2, X1), 
213.59/213.80	           'const/trivia/I'((> $o, X0), X1))),
213.59/213.80	    inference('sup+', [status(thm)], ['26', '33'])).
213.59/213.80	tff('38', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o]:
213.59/213.80	      (~ $true
213.59/213.80	       | 'const/sets/SUBSET'(X0, X1, 'const/trivia/I'((> $o, X0), X1))
213.59/213.80	       | 'const/sets/SUBSET'(X0, X1, 'const/trivia/I'((> $o, X0), X1))),
213.59/213.80	    inference('sup-', [status(thm)], ['37', '7'])).
213.59/213.80	tff('39', plain,
213.59/213.80	    ![X0 : $tType, X1 : X0 > $o]:
213.59/213.80	      'const/sets/SUBSET'(X0, X1, 'const/trivia/I'((> $o, X0), X1)),
213.59/213.80	    inference('simplify', [status(thm)], ['38'])).
213.59/213.80	tff('40', plain,
213.59/213.80	    ![X0 : sk_A > $o]:
213.59/213.80	      (~ $true
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, X0)
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))),
213.59/213.80	    inference('sup-', [status(thm)], ['18', '23'])).
213.59/213.80	tff('41', plain,
213.59/213.80	    ![X0 : sk_A > $o]:
213.59/213.80	      (~ 'const/sets/SUBSET'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, X0)),
213.59/213.80	    inference('simplify', [status(thm)], ['40'])).
213.59/213.80	tff('42', plain,
213.59/213.80	    ![X0 : sk_A > $o]:
213.59/213.80	      (~ $true
213.59/213.80	       | ~ 'const/sets/IN'((> $o, sk_A), 'const/sets/INTERS'(sk_A, sk_A1), 
213.59/213.80	             'const/sets/SUBSET'(sk_A, X0))
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, X0)),
213.59/213.80	    inference('sup-', [status(thm)], ['27', '41'])).
213.59/213.80	tff('43', plain,
213.59/213.80	    ![X0 : sk_A > $o]:
213.59/213.80	      (~ 'const/sets/SUBSET'(sk_A, sk_A0, X0)
213.59/213.80	       | ~ 'const/sets/IN'((> $o, sk_A), 'const/sets/INTERS'(sk_A, sk_A1), 
213.59/213.80	             'const/sets/SUBSET'(sk_A, X0))),
213.59/213.80	    inference('simplify', [status(thm)], ['42'])).
213.59/213.80	tff('44', plain,
213.59/213.80	    (~ $true
213.59/213.80	     | ~ 'const/sets/IN'((> $o, sk_A), 'const/sets/INTERS'(sk_A, sk_A1), 
213.59/213.80	           'const/sets/SUBSET'(sk_A, 'const/trivia/I'((> $o, sk_A), sk_A0)))),
213.59/213.80	    inference('sup-', [status(thm)], ['39', '43'])).
213.59/213.80	tff('45', plain,
213.59/213.80	    ~ 'const/sets/IN'((> $o, sk_A), 'const/sets/INTERS'(sk_A, sk_A1), 
213.59/213.80	        'const/sets/SUBSET'(sk_A, 'const/trivia/I'((> $o, sk_A), sk_A0))),
213.59/213.80	    inference('simplify', [status(thm)], ['44'])).
213.59/213.80	tff('46', plain,
213.59/213.80	    (~ $true
213.59/213.80	     | 'const/sets/IN'(sk_A, 
213.59/213.80	         sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), sk_A0), sk_A0)),
213.59/213.80	    inference('sup-', [status(thm)], ['36', '45'])).
213.59/213.80	tff('47', plain,
213.59/213.80	    'const/sets/IN'(sk_A, 
213.59/213.80	      sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), sk_A0), sk_A0),
213.59/213.80	    inference('simplify', [status(thm)], ['46'])).
213.59/213.80	tff('48', plain,
213.59/213.80	    ![X0 : sk_A > $o]:
213.59/213.80	      (~ $true
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, X0)
213.59/213.80	       | 'const/sets/IN'(sk_A, 
213.59/213.80	           sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), sk_A0), X0)),
213.59/213.80	    inference('sup-', [status(thm)], ['47', '12'])).
213.59/213.80	tff('49', plain,
213.59/213.80	    ![X0 : sk_A > $o]:
213.59/213.80	      ('const/sets/IN'(sk_A, 
213.59/213.80	         sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), sk_A0), X0)
213.59/213.80	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, X0)),
213.59/213.80	    inference('simplify', [status(thm)], ['48'])).
213.59/213.80	tff('50', plain,
213.59/213.80	    ![X0 : sk_A > $o]:
213.59/213.80	      (~ $true
213.59/213.80	       | ~ 'const/sets/IN'((> $o, sk_A), X0, sk_A1)
213.59/213.80	       | 'const/sets/IN'(sk_A, 
213.59/213.80	           sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), sk_A0), X0)),
213.59/213.80	    inference('sup-', [status(thm)], ['25', '49'])).
213.59/213.80	tff('51', plain,
213.59/213.80	    ![X0 : sk_A > $o]:
213.59/213.80	      ('const/sets/IN'(sk_A, 
213.59/213.80	         sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), sk_A0), X0)
213.59/213.80	       | ~ 'const/sets/IN'((> $o, sk_A), X0, sk_A1)),
213.59/213.80	    inference('simplify', [status(thm)], ['50'])).
213.59/213.80	tff('52', plain,
213.59/213.80	    ![X0 : sk_A]:
213.59/213.80	      (~ $true
213.59/213.80	       | 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))
213.59/213.80	       | 'const/sets/IN'(sk_A, 
213.59/213.80	           sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), sk_A0), 
213.59/213.80	           sk_A2(sk_A, X0, sk_A1))),
213.59/213.80	    inference('sup-', [status(thm)], ['0', '51'])).
213.59/213.80	tff('53', plain,
213.59/213.80	    ![X0 : sk_A]:
213.59/213.80	      ('const/sets/IN'(sk_A, 
213.59/213.80	         sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), sk_A0), 
213.59/213.80	         sk_A2(sk_A, X0, sk_A1))
213.59/213.80	       | 'const/sets/IN'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))),
213.59/213.80	    inference('simplify', [status(thm)], ['52'])).
213.59/213.80	tff('54', plain,
213.59/213.80	    ![X6 : $tType, X8 : X6 > $o > $o, X10 : X6]:
213.59/213.80	      ('const/sets/IN'(X6, X10, 'const/sets/INTERS'(X6, X8))
213.59/213.80	       | ~ 'const/sets/IN'(X6, X10, sk_A2(X6, X10, X8))),
213.59/213.80	    inference('cnf', [status(esa)], [thm/sets/IN_INTERS_])).
213.59/213.80	tff('55', plain,
213.59/213.80	    (~ $true
213.59/213.80	     | 'const/sets/IN'(sk_A, 
213.59/213.80	         sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), sk_A0), 
213.59/213.80	         'const/sets/INTERS'(sk_A, sk_A1))
213.59/213.80	     | 'const/sets/IN'(sk_A, 
213.59/213.80	         sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), sk_A0), 
213.59/213.80	         'const/sets/INTERS'(sk_A, sk_A1))),
213.59/213.80	    inference('sup-', [status(thm)], ['53', '54'])).
213.59/213.80	tff('56', plain,
213.59/213.80	    'const/sets/IN'(sk_A, 
213.59/213.80	      sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), sk_A0), 
213.59/213.80	      'const/sets/INTERS'(sk_A, sk_A1)),
213.59/213.80	    inference('simplify', [status(thm)], ['55'])).
213.59/213.80	tff('57', plain,
213.59/213.80	    (~ $true
213.59/213.80	     | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
213.59/213.80	    inference('sup-', [status(thm)], ['56', '7'])).
213.59/213.80	tff('58', plain,
213.59/213.80	    'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1)),
213.59/213.80	    inference('simplify', [status(thm)], ['57'])).
213.59/213.80	tff('59', plain, ~ $true, inference('sup-', [status(thm)], ['58', '23'])).
213.59/213.80	tff('60', plain, $false, inference('simplify', [status(thm)], ['59'])).
213.59/213.80	
213.59/213.80	% SZS output end Refutation
213.59/213.80	EOF
