0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : supatvars_int
0.00/0.01	% Ordering    : kbo
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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --sup-at-vars \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n097.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:33:38 CST 2018
42.73/42.95	% done 5323 iterations in 42.740s
42.73/42.95	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
42.73/42.95	% SZS output start Refutation
42.73/42.95	tff('thm/sets/SUBSET_', axiom,
42.73/42.95	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
42.73/42.95	     ('const/sets/SUBSET'(A,A0,A1) <=>
42.73/42.95	      (![A2:A]: ('const/sets/IN'(A,A2,A0) => 'const/sets/IN'(A,A2,A1)))))).
42.73/42.95	tff('0', plain,
42.73/42.95	    ![X11 : $tType, X13 : X11 > $o, X15 : X11 > $o]:
42.73/42.95	      ('const/sets/SUBSET'(X11, X13, X15)
42.73/42.95	       | 'const/sets/IN'(X11, sk_A21(X11, X15, X13), X13)),
42.73/42.95	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
42.73/42.95	tff('thm/sets/IN_', axiom,
42.73/42.95	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
42.73/42.95	tff('1', plain,
42.73/42.95	    ![X2 : $tType, X3 : X2 > $o, X4 : X2]:
42.73/42.95	      (X3(X4) | ~ 'const/sets/IN'(X2, X4, X3)),
42.73/42.95	    inference('cnf', [status(esa)], [thm/sets/IN_])).
42.73/42.95	tff('2', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
42.73/42.95	      (~ $true | 'const/sets/SUBSET'(X0, X1, X2) | X1(sk_A21(X0, X2, X1))),
42.73/42.95	    inference('sup-', [status(thm)], ['0', '1'])).
42.73/42.95	tff('3', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
42.73/42.95	      (X1(sk_A21(X0, X2, X1)) | 'const/sets/SUBSET'(X0, X1, X2)),
42.73/42.95	    inference('simplify', [status(thm)], ['2'])).
42.73/42.95	tff('thm/sets/IN_INTERS_', axiom,
42.73/42.95	  (![A:$tType,A0:(A > $o > $o),A1:A]:
42.73/42.95	     ('const/sets/IN'(A,A1,'const/sets/INTERS'(A,A0)) <=>
42.73/42.95	      (![A2:(A > $o)]:
42.73/42.95	         ('const/sets/IN'(A > $o,A2,A0) => 'const/sets/IN'(A,A1,A2)))))).
42.73/42.95	tff('4', plain,
42.73/42.95	    ![X6 : $tType, X8 : X6 > $o > $o, X10 : X6]:
42.73/42.95	      ('const/sets/IN'(X6, X10, 'const/sets/INTERS'(X6, X8))
42.73/42.95	       | 'const/sets/IN'((> $o, X6), sk_A2(X6, X10, X8), X8)),
42.73/42.95	    inference('cnf', [status(esa)], [thm/sets/IN_INTERS_])).
42.73/42.95	tff('5', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0]:
42.73/42.95	      (~ $true
42.73/42.95	       | 'const/sets/IN'(X0, X2, 'const/sets/INTERS'(X0, X1))
42.73/42.95	       | X1(sk_A2(X0, X2, X1))),
42.73/42.95	    inference('sup-', [status(thm)], ['4', '1'])).
42.73/42.95	tff('6', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0]:
42.73/42.95	      (X1(sk_A2(X0, X2, X1))
42.73/42.95	       | 'const/sets/IN'(X0, X2, 'const/sets/INTERS'(X0, X1))),
42.73/42.95	    inference('simplify', [status(thm)], ['5'])).
42.73/42.95	tff('7', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0]:
42.73/42.95	      (~ $true | X1(sk_A2(X0, X2, X1)) | 'const/sets/INTERS'(X0, X1, X2)),
42.73/42.95	    inference('sup-', [status(thm)], ['6', '1'])).
42.73/42.95	tff('8', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0]:
42.73/42.95	      ('const/sets/INTERS'(X0, X1, X2) | X1(sk_A2(X0, X2, X1))),
42.73/42.95	    inference('simplify', [status(thm)], ['7'])).
42.73/42.95	tff('9', plain,
42.73/42.95	    ![X2 : $tType, X3 : X2 > $o, X5 : X2]:
42.73/42.95	      ('const/sets/IN'(X2, X5, X3) | ~ X3(X5)),
42.73/42.95	    inference('cnf', [status(esa)], [thm/sets/IN_])).
42.73/42.95	tff('10', plain,
42.73/42.95	    ![X11 : $tType, X12 : X11, X13 : X11 > $o, X14 : X11 > $o]:
42.73/42.95	      (~ 'const/sets/IN'(X11, X12, X13)
42.73/42.95	       | 'const/sets/IN'(X11, X12, X14)
42.73/42.95	       | ~ 'const/sets/SUBSET'(X11, X13, X14)),
42.73/42.95	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
42.73/42.95	tff('11', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0]:
42.73/42.95	      (~ $true
42.73/42.95	       | 'const/sets/IN'(X0, X2, 
42.73/42.95	           'const/sets/INTERS'(X0, 'const/sets/SUBSET'(X0, X1)))
42.73/42.95	       | 'const/sets/IN'(X0, X3, sk_A2(X0, X2, 'const/sets/SUBSET'(X0, X1)))
42.73/42.95	       | ~ 'const/sets/IN'(X0, X3, X1)),
42.73/42.95	    inference('sup-', [status(thm)], ['6', '10'])).
42.73/42.95	tff('12', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0]:
42.73/42.95	      (~ 'const/sets/IN'(X0, X3, X1)
42.73/42.95	       | 'const/sets/IN'(X0, X3, sk_A2(X0, X2, 'const/sets/SUBSET'(X0, X1)))
42.73/42.95	       | 'const/sets/IN'(X0, X2, 
42.73/42.95	           'const/sets/INTERS'(X0, 'const/sets/SUBSET'(X0, X1)))),
42.73/42.95	    inference('simplify', [status(thm)], ['11'])).
42.73/42.95	tff('13', plain,
42.73/42.95	    ![X6 : $tType, X8 : X6 > $o > $o, X10 : X6]:
42.73/42.95	      ('const/sets/IN'(X6, X10, 'const/sets/INTERS'(X6, X8))
42.73/42.95	       | ~ 'const/sets/IN'(X6, X10, sk_A2(X6, X10, X8))),
42.73/42.95	    inference('cnf', [status(esa)], [thm/sets/IN_INTERS_])).
42.73/42.95	tff('14', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
42.73/42.95	      (~ $true
42.73/42.95	       | 'const/sets/IN'(X0, X2, 
42.73/42.95	           'const/sets/INTERS'(X0, 'const/sets/SUBSET'(X0, X1)))
42.73/42.95	       | ~ 'const/sets/IN'(X0, X2, X1)
42.73/42.95	       | 'const/sets/IN'(X0, X2, 
42.73/42.95	           'const/sets/INTERS'(X0, 'const/sets/SUBSET'(X0, X1)))),
42.73/42.95	    inference('sup-', [status(thm)], ['12', '13'])).
42.73/42.95	tff('15', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
42.73/42.95	      (~ 'const/sets/IN'(X0, X2, X1)
42.73/42.95	       | 'const/sets/IN'(X0, X2, 
42.73/42.95	           'const/sets/INTERS'(X0, 'const/sets/SUBSET'(X0, X1)))),
42.73/42.95	    inference('simplify', [status(thm)], ['14'])).
42.73/42.95	tff('thm/sets/SUBSET_INTERS_', conjecture,
42.73/42.95	  (![A:$tType,A0:(A > $o),A1:(A > $o > $o)]:
42.73/42.95	     ('const/sets/SUBSET'(A,A0,'const/sets/INTERS'(A,A1)) <=>
42.73/42.95	      (![A2:(A > $o)]:
42.73/42.95	         ('const/sets/IN'(A > $o,A2,A1) => 'const/sets/SUBSET'(A,A0,A2)))))).
42.73/42.95	tff(zf_stmt_0, negated_conjecture,
42.73/42.95	  (~
42.73/42.95	    (![A:$tType,A0:(A > $o),A1:(A > $o > $o)]:
42.73/42.95	       ('const/sets/SUBSET'(A,A0,'const/sets/INTERS'(A,A1)) <=>
42.73/42.95	        (![A2:(A > $o)]:
42.73/42.95	           ('const/sets/IN'(A > $o,A2,A1) => 'const/sets/SUBSET'(A,A0,A2))))))).
42.73/42.95	tff('16', plain,
42.73/42.95	    ![X16 : sk_A > $o]:
42.73/42.95	      (~ 'const/sets/IN'((> $o, sk_A), X16, sk_A1)
42.73/42.95	       | 'const/sets/SUBSET'(sk_A, sk_A0, X16)
42.73/42.95	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
42.73/42.95	    inference('cnf', [status(esa)], [zf_stmt_0])).
42.73/42.95	tff('17', plain,
42.73/42.95	    ![X0 : sk_A > $o]:
42.73/42.95	      (~ $true
42.73/42.95	       | ~ sk_A1(X0)
42.73/42.95	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
42.73/42.95	       | 'const/sets/SUBSET'(sk_A, sk_A0, X0)),
42.73/42.95	    inference('sup-', [status(thm)], ['9', '16'])).
42.73/42.95	tff('18', plain,
42.73/42.95	    ![X0 : sk_A > $o]:
42.73/42.95	      ('const/sets/SUBSET'(sk_A, sk_A0, X0)
42.73/42.95	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
42.73/42.95	       | ~ sk_A1(X0)),
42.73/42.95	    inference('simplify', [status(thm)], ['17'])).
42.73/42.95	tff('19', plain,
42.73/42.95	    ![X6 : $tType, X7 : X6 > $o, X8 : X6 > $o > $o, X9 : X6]:
42.73/42.95	      (~ 'const/sets/IN'((> $o, X6), X7, X8)
42.73/42.95	       | 'const/sets/IN'(X6, X9, X7)
42.73/42.95	       | ~ 'const/sets/IN'(X6, X9, 'const/sets/INTERS'(X6, X8))),
42.73/42.95	    inference('cnf', [status(esa)], [thm/sets/IN_INTERS_])).
42.73/42.95	tff('20', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0 > $o, X3 : X0]:
42.73/42.95	      (~ $true
42.73/42.95	       | ~ X1(X2)
42.73/42.95	       | ~ 'const/sets/IN'(X0, X3, 'const/sets/INTERS'(X0, X1))
42.73/42.95	       | 'const/sets/IN'(X0, X3, X2)),
42.73/42.95	    inference('sup-', [status(thm)], ['9', '19'])).
42.73/42.95	tff('21', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0 > $o, X3 : X0]:
42.73/42.95	      ('const/sets/IN'(X0, X3, X2)
42.73/42.95	       | ~ 'const/sets/IN'(X0, X3, 'const/sets/INTERS'(X0, X1))
42.73/42.95	       | ~ X1(X2)),
42.73/42.95	    inference('simplify', [status(thm)], ['20'])).
42.73/42.95	tff('22', plain,
42.73/42.95	    ![X0 : sk_A > $o, X1 : sk_A]:
42.73/42.95	      (~ $true
42.73/42.95	       | ~ sk_A1(X0)
42.73/42.95	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
42.73/42.95	       | ~ 'const/sets/IN'(sk_A, X1, 
42.73/42.95	             'const/sets/INTERS'(sk_A, 'const/sets/SUBSET'(sk_A, sk_A0)))
42.73/42.95	       | 'const/sets/IN'(sk_A, X1, X0)),
42.73/42.95	    inference('sup-', [status(thm)], ['18', '21'])).
42.73/42.95	tff('23', plain,
42.73/42.95	    ![X0 : sk_A > $o, X1 : sk_A]:
42.73/42.95	      ('const/sets/IN'(sk_A, X1, X0)
42.73/42.95	       | ~ 'const/sets/IN'(sk_A, X1, 
42.73/42.95	             'const/sets/INTERS'(sk_A, 'const/sets/SUBSET'(sk_A, sk_A0)))
42.73/42.95	       | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
42.73/42.95	       | ~ sk_A1(X0)),
42.73/42.95	    inference('simplify', [status(thm)], ['22'])).
42.73/42.95	tff('24', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0, X3 : X0 > $o, 
42.73/42.95	      X4 : X0 > $o > $o]:
42.73/42.95	      (~ $true
42.73/42.95	       | ~ X4('const/sets/INTERS'(X0, X1))
42.73/42.95	       | ~ 'const/sets/IN'(X0, X2, 'const/sets/INTERS'(X0, X4))
42.73/42.95	       | ~ X1(X3)
42.73/42.95	       | 'const/sets/IN'(X0, X2, X3)),
42.73/42.95	    inference('sup-', [status(thm)], ['21', '21'])).
42.73/42.95	tff('25', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0, X3 : X0 > $o, 
42.73/42.95	      X4 : X0 > $o > $o]:
42.73/42.95	      ('const/sets/IN'(X0, X2, X3)
42.73/42.95	       | ~ X1(X3)
42.73/42.95	       | ~ 'const/sets/IN'(X0, X2, 'const/sets/INTERS'(X0, X4))
42.73/42.95	       | ~ X4('const/sets/INTERS'(X0, X1))),
42.73/42.95	    inference('simplify', [status(thm)], ['24'])).
42.73/42.95	tff('26', plain,
42.73/42.95	    ![X0 : sk_A > $o, X1 : sk_A]:
42.73/42.95	      (~ sk_A1(X0)
42.73/42.95	       | ~ 'const/sets/IN'(sk_A, X1, 
42.73/42.95	             'const/sets/INTERS'(sk_A, 'const/sets/SUBSET'(sk_A, sk_A0)))
42.73/42.95	       | 'const/sets/IN'(sk_A, X1, X0)),
42.73/42.95	    inference('clc', [status(thm)], ['23', '25'])).
42.73/42.95	tff('27', plain,
42.73/42.95	    ![X0 : sk_A, X1 : sk_A > $o]:
42.73/42.95	      (~ $true
42.73/42.95	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)
42.73/42.95	       | 'const/sets/IN'(sk_A, X0, X1)
42.73/42.95	       | ~ sk_A1(X1)),
42.73/42.95	    inference('sup-', [status(thm)], ['15', '26'])).
42.73/42.95	tff('28', plain,
42.73/42.95	    ![X0 : sk_A, X1 : sk_A > $o]:
42.73/42.95	      (~ sk_A1(X1)
42.73/42.95	       | 'const/sets/IN'(sk_A, X0, X1)
42.73/42.95	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
42.73/42.95	    inference('simplify', [status(thm)], ['27'])).
42.73/42.95	tff('29', plain,
42.73/42.95	    ![X0 : sk_A, X1 : sk_A > $o]:
42.73/42.95	      (~ $true | ~ sk_A0(X0) | 'const/sets/IN'(sk_A, X0, X1) | ~ sk_A1(X1)),
42.73/42.95	    inference('sup-', [status(thm)], ['9', '28'])).
42.73/42.95	tff('30', plain,
42.73/42.95	    ![X0 : sk_A, X1 : sk_A > $o]:
42.73/42.95	      (~ sk_A1(X1) | 'const/sets/IN'(sk_A, X0, X1) | ~ sk_A0(X0)),
42.73/42.95	    inference('simplify', [status(thm)], ['29'])).
42.73/42.95	tff('31', plain,
42.73/42.95	    ![X11 : $tType, X13 : X11 > $o, X15 : X11 > $o]:
42.73/42.95	      ('const/sets/SUBSET'(X11, X13, X15)
42.73/42.95	       | ~ 'const/sets/IN'(X11, sk_A21(X11, X15, X13), X15)),
42.73/42.95	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
42.73/42.95	tff('32', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o]:
42.73/42.95	      (~ $true
42.73/42.95	       | 'const/sets/SUBSET'(X0, X1, X1)
42.73/42.95	       | 'const/sets/SUBSET'(X0, X1, X1)),
42.73/42.95	    inference('sup-', [status(thm)], ['0', '31'])).
42.73/42.95	tff('33', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o]: 'const/sets/SUBSET'(X0, X1, X1),
42.73/42.95	    inference('simplify', [status(thm)], ['32'])).
42.73/42.95	tff('34', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0 > $o]:
42.73/42.95	      (~ $true
42.73/42.95	       | ~ 'const/sets/SUBSET'(X0, X3, X1)
42.73/42.95	       | ~ 'const/sets/IN'(X0, X2, X3)
42.73/42.95	       | X1(X2)),
42.73/42.95	    inference('sup-', [status(thm)], ['10', '1'])).
42.73/42.95	tff('35', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0 > $o]:
42.73/42.95	      (X1(X2)
42.73/42.95	       | ~ 'const/sets/IN'(X0, X2, X3)
42.73/42.95	       | ~ 'const/sets/SUBSET'(X0, X3, X1)),
42.73/42.95	    inference('simplify', [status(thm)], ['34'])).
42.73/42.95	tff('36', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0]:
42.73/42.95	      (~ $true
42.73/42.95	       | ~ sk_A2(X0, X2, X1, X2)
42.73/42.95	       | 'const/sets/IN'(X0, X2, 'const/sets/INTERS'(X0, X1))),
42.73/42.95	    inference('sup-', [status(thm)], ['9', '13'])).
42.73/42.95	tff('37', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0]:
42.73/42.95	      ('const/sets/IN'(X0, X2, 'const/sets/INTERS'(X0, X1))
42.73/42.95	       | ~ sk_A2(X0, X2, X1, X2)),
42.73/42.95	    inference('simplify', [status(thm)], ['36'])).
42.73/42.95	tff('38', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0]:
42.73/42.95	      (~ $true | ~ sk_A2(X0, X2, X1, X2) | 'const/sets/INTERS'(X0, X1, X2)),
42.73/42.95	    inference('sup-', [status(thm)], ['37', '1'])).
42.73/42.95	tff('39', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0]:
42.73/42.95	      ('const/sets/INTERS'(X0, X1, X2) | ~ sk_A2(X0, X2, X1, X2)),
42.73/42.95	    inference('simplify', [status(thm)], ['38'])).
42.73/42.95	tff('40', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0, X2 : X0 > $o > $o, X3 : X0 > $o]:
42.73/42.95	      (~ $true
42.73/42.95	       | ~ 'const/sets/SUBSET'(X0, X3, sk_A2(X0, X1, X2))
42.73/42.95	       | ~ 'const/sets/IN'(X0, X1, X3)
42.73/42.95	       | 'const/sets/INTERS'(X0, X2, X1)),
42.73/42.95	    inference('sup-', [status(thm)], ['35', '39'])).
42.73/42.95	tff('41', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0, X2 : X0 > $o > $o, X3 : X0 > $o]:
42.73/42.95	      ('const/sets/INTERS'(X0, X2, X1)
42.73/42.95	       | ~ 'const/sets/IN'(X0, X1, X3)
42.73/42.95	       | ~ 'const/sets/SUBSET'(X0, X3, sk_A2(X0, X1, X2))),
42.73/42.95	    inference('simplify', [status(thm)], ['40'])).
42.73/42.95	tff('42', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0]:
42.73/42.95	      (~ $true
42.73/42.95	       | ~ 'const/sets/IN'(X0, X2, sk_A2(X0, X2, X1))
42.73/42.95	       | 'const/sets/INTERS'(X0, X1, X2)),
42.73/42.95	    inference('sup-', [status(thm)], ['33', '41'])).
42.73/42.95	tff('43', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0]:
42.73/42.95	      ('const/sets/INTERS'(X0, X1, X2)
42.73/42.95	       | ~ 'const/sets/IN'(X0, X2, sk_A2(X0, X2, X1))),
42.73/42.95	    inference('simplify', [status(thm)], ['42'])).
42.73/42.95	tff('44', plain,
42.73/42.95	    ![X0 : sk_A > $o > $o, X1 : sk_A]:
42.73/42.95	      (~ $true
42.73/42.95	       | ~ sk_A0(X1)
42.73/42.95	       | ~ sk_A1(sk_A2(sk_A, X1, X0))
42.73/42.95	       | 'const/sets/INTERS'(sk_A, X0, X1)),
42.73/42.95	    inference('sup-', [status(thm)], ['30', '43'])).
42.73/42.95	tff('45', plain,
42.73/42.95	    ![X0 : sk_A > $o > $o, X1 : sk_A]:
42.73/42.95	      ('const/sets/INTERS'(sk_A, X0, X1)
42.73/42.95	       | ~ sk_A1(sk_A2(sk_A, X1, X0))
42.73/42.95	       | ~ sk_A0(X1)),
42.73/42.95	    inference('simplify', [status(thm)], ['44'])).
42.73/42.95	tff('46', plain,
42.73/42.95	    ![X0 : sk_A]:
42.73/42.95	      (~ $true
42.73/42.95	       | 'const/sets/INTERS'(sk_A, sk_A1, X0)
42.73/42.95	       | ~ sk_A0(X0)
42.73/42.95	       | 'const/sets/INTERS'(sk_A, sk_A1, X0)),
42.73/42.95	    inference('sup-', [status(thm)], ['8', '45'])).
42.73/42.95	tff('47', plain,
42.73/42.95	    ![X0 : sk_A]: (~ sk_A0(X0) | 'const/sets/INTERS'(sk_A, sk_A1, X0)),
42.73/42.95	    inference('simplify', [status(thm)], ['46'])).
42.73/42.95	tff('48', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
42.73/42.95	      (~ $true | ~ X1(sk_A21(X0, X1, X2)) | 'const/sets/SUBSET'(X0, X2, X1)),
42.73/42.95	    inference('sup-', [status(thm)], ['9', '31'])).
42.73/42.95	tff('49', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
42.73/42.95	      ('const/sets/SUBSET'(X0, X2, X1) | ~ X1(sk_A21(X0, X1, X2))),
42.73/42.95	    inference('simplify', [status(thm)], ['48'])).
42.73/42.95	tff('50', plain,
42.73/42.95	    ![X0 : sk_A > $o]:
42.73/42.95	      (~ $true
42.73/42.95	       | ~ sk_A0(sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), X0))
42.73/42.95	       | 'const/sets/SUBSET'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))),
42.73/42.95	    inference('sup-', [status(thm)], ['47', '49'])).
42.73/42.95	tff('51', plain,
42.73/42.95	    ![X0 : sk_A > $o]:
42.73/42.95	      ('const/sets/SUBSET'(sk_A, X0, 'const/sets/INTERS'(sk_A, sk_A1))
42.73/42.95	       | ~ sk_A0(sk_A21(sk_A, 'const/sets/INTERS'(sk_A, sk_A1), X0))),
42.73/42.95	    inference('simplify', [status(thm)], ['50'])).
42.73/42.95	tff('52', plain,
42.73/42.95	    (~ $true
42.73/42.95	     | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))
42.73/42.95	     | 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
42.73/42.95	    inference('sup-', [status(thm)], ['3', '51'])).
42.73/42.95	tff('53', plain,
42.73/42.95	    'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1)),
42.73/42.95	    inference('simplify', [status(thm)], ['52'])).
42.73/42.95	tff('54', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0 > $o, X3 : X0 > $o]:
42.73/42.95	      (~ $true
42.73/42.95	       | 'const/sets/SUBSET'(X0, 'const/sets/INTERS'(X0, X1), X2)
42.73/42.95	       | ~ X1(X3)
42.73/42.95	       | 'const/sets/IN'(X0, sk_A21(X0, X2, 'const/sets/INTERS'(X0, X1)), X3)),
42.73/42.95	    inference('sup-', [status(thm)], ['0', '21'])).
42.73/42.95	tff('55', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o > $o, X2 : X0 > $o, X3 : X0 > $o]:
42.73/42.95	      ('const/sets/IN'(X0, sk_A21(X0, X2, 'const/sets/INTERS'(X0, X1)), X3)
42.73/42.95	       | ~ X1(X3)
42.73/42.95	       | 'const/sets/SUBSET'(X0, 'const/sets/INTERS'(X0, X1), X2)),
42.73/42.95	    inference('simplify', [status(thm)], ['54'])).
42.73/42.95	tff('56', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o > $o]:
42.73/42.95	      (~ $true
42.73/42.95	       | 'const/sets/SUBSET'(X0, 'const/sets/INTERS'(X0, X2), X1)
42.73/42.95	       | ~ X2(X1)
42.73/42.95	       | 'const/sets/SUBSET'(X0, 'const/sets/INTERS'(X0, X2), X1)),
42.73/42.95	    inference('sup-', [status(thm)], ['55', '31'])).
42.73/42.95	tff('57', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o > $o]:
42.73/42.95	      (~ X2(X1) | 'const/sets/SUBSET'(X0, 'const/sets/INTERS'(X0, X2), X1)),
42.73/42.95	    inference('simplify', [status(thm)], ['56'])).
42.73/42.95	tff('58', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
42.73/42.95	      (~ $true
42.73/42.95	       | 'const/sets/SUBSET'(X0, X1, X2)
42.73/42.95	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
42.73/42.95	       | 'const/sets/IN'(X0, sk_A21(X0, X2, X1), X3)),
42.73/42.95	    inference('sup-', [status(thm)], ['0', '10'])).
42.73/42.95	tff('59', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
42.73/42.95	      ('const/sets/IN'(X0, sk_A21(X0, X2, X1), X3)
42.73/42.95	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
42.73/42.95	       | 'const/sets/SUBSET'(X0, X1, X2)),
42.73/42.95	    inference('simplify', [status(thm)], ['58'])).
42.73/42.95	tff('60', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
42.73/42.95	      (~ $true
42.73/42.95	       | ~ 'const/sets/SUBSET'(X0, X3, X1)
42.73/42.95	       | ~ 'const/sets/IN'(X0, sk_A21(X0, X1, X2), X3)
42.73/42.95	       | 'const/sets/SUBSET'(X0, X2, X1)),
42.73/42.95	    inference('sup-', [status(thm)], ['10', '31'])).
42.73/42.95	tff('61', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
42.73/42.95	      ('const/sets/SUBSET'(X0, X2, X1)
42.73/42.95	       | ~ 'const/sets/IN'(X0, sk_A21(X0, X1, X2), X3)
42.73/42.95	       | ~ 'const/sets/SUBSET'(X0, X3, X1)),
42.73/42.95	    inference('simplify', [status(thm)], ['60'])).
42.73/42.95	tff('62', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
42.73/42.95	      (~ $true
42.73/42.95	       | 'const/sets/SUBSET'(X0, X2, X3)
42.73/42.95	       | ~ 'const/sets/SUBSET'(X0, X2, X1)
42.73/42.95	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
42.73/42.95	       | 'const/sets/SUBSET'(X0, X2, X3)),
42.73/42.95	    inference('sup-', [status(thm)], ['59', '61'])).
42.73/42.95	tff('63', plain,
42.73/42.95	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
42.73/42.95	      (~ 'const/sets/SUBSET'(X0, X1, X3)
42.73/42.95	       | ~ 'const/sets/SUBSET'(X0, X2, X1)
42.73/42.95	       | 'const/sets/SUBSET'(X0, X2, X3)),
42.73/42.95	    inference('simplify', [status(thm)], ['62'])).
42.73/42.95	tff('64', plain,
42.73/42.95	    (~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)
42.73/42.95	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
42.73/42.95	    inference('cnf', [status(esa)], [zf_stmt_0])).
42.73/42.95	tff('65', plain, (~ $true | ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22)),
42.73/42.95	    inference('sup-', [status(thm)], ['53', '64'])).
42.73/42.95	tff('66', plain, ~ 'const/sets/SUBSET'(sk_A, sk_A0, sk_A22),
42.73/42.95	    inference('simplify', [status(thm)], ['65'])).
42.73/42.95	tff('67', plain,
42.73/42.95	    ![X0 : sk_A > $o]:
42.73/42.95	      (~ $true
42.73/42.95	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, X0)
42.73/42.95	       | ~ 'const/sets/SUBSET'(sk_A, X0, sk_A22)),
42.73/42.95	    inference('sup-', [status(thm)], ['63', '66'])).
42.73/42.95	tff('68', plain,
42.73/42.95	    ![X0 : sk_A > $o]:
42.73/42.95	      (~ 'const/sets/SUBSET'(sk_A, X0, sk_A22)
42.73/42.95	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, X0)),
42.73/42.95	    inference('simplify', [status(thm)], ['67'])).
42.73/42.95	tff('69', plain,
42.73/42.95	    ![X0 : sk_A > $o > $o]:
42.73/42.95	      (~ $true
42.73/42.95	       | ~ X0(sk_A22)
42.73/42.95	       | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, X0))),
42.73/42.95	    inference('sup-', [status(thm)], ['57', '68'])).
42.73/42.95	tff('70', plain,
42.73/42.95	    ![X0 : sk_A > $o > $o]:
42.73/42.95	      (~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, X0))
42.73/42.95	       | ~ X0(sk_A22)),
42.73/42.95	    inference('simplify', [status(thm)], ['69'])).
42.73/42.95	tff('71', plain, (~ $true | ~ sk_A1(sk_A22)),
42.73/42.95	    inference('sup-', [status(thm)], ['53', '70'])).
42.73/42.95	tff('72', plain,
42.73/42.95	    ('const/sets/IN'((> $o, sk_A), sk_A22, sk_A1)
42.73/42.95	     | ~ 'const/sets/SUBSET'(sk_A, sk_A0, 'const/sets/INTERS'(sk_A, sk_A1))),
42.73/42.95	    inference('cnf', [status(esa)], [zf_stmt_0])).
42.73/42.95	tff('73', plain, (~ $true | 'const/sets/IN'((> $o, sk_A), sk_A22, sk_A1)),
42.73/42.95	    inference('sup-', [status(thm)], ['53', '72'])).
42.73/42.95	tff('74', plain, 'const/sets/IN'((> $o, sk_A), sk_A22, sk_A1),
42.73/42.95	    inference('simplify', [status(thm)], ['73'])).
42.73/42.95	tff('75', plain, (~ $true | sk_A1(sk_A22)),
42.73/42.95	    inference('sup-', [status(thm)], ['74', '1'])).
42.73/42.95	tff('76', plain, sk_A1(sk_A22), inference('simplify', [status(thm)], ['75'])).
42.73/42.95	tff('77', plain, (~ $true | ~ $true),
42.73/42.95	    inference('demod', [status(thm)], ['71', '76'])).
42.73/42.95	tff('78', plain, $false, inference('simplify', [status(thm)], ['77'])).
42.73/42.95	
42.73/42.95	% SZS output end Refutation
42.73/42.96	EOF
