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_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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n115.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:28:54 CST 2018
7.22/7.41	% done 1183 iterations in 7.199s
7.22/7.41	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
7.22/7.41	% SZS output start Refutation
7.22/7.41	tff('thm/sets/INTER_UNIV_1', conjecture,
7.22/7.41	  (![A:$tType,A0:(A > $o)]:
7.22/7.41	     ('const/sets/INTER'(A,A0,'const/sets/UNIV'(A)) = A0))).
7.22/7.41	tff(zf_stmt_0, negated_conjecture,
7.22/7.41	  (~
7.22/7.41	    (![A:$tType,A0:(A > $o)]:
7.22/7.41	       ('const/sets/INTER'(A,A0,'const/sets/UNIV'(A)) = A0)))).
7.22/7.41	tff('0', plain,
7.22/7.41	    'const/sets/INTER'(sk_A, sk_A0, 'const/sets/UNIV'(sk_A)) != sk_A0,
7.22/7.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
7.22/7.41	tff('thm/sets/IN_UNIV_', axiom,
7.22/7.41	  (![A:$tType,A0:A]: 'const/sets/IN'(A,A0,'const/sets/UNIV'(A)))).
7.22/7.41	tff('1', plain,
7.22/7.41	    ![X4 : $tType, X5 : X4]: 'const/sets/IN'(X4, X5, 'const/sets/UNIV'(X4)),
7.22/7.41	    inference('cnf', [status(esa)], [thm/sets/IN_UNIV_])).
7.22/7.41	tff('thm/sets/EXTENSION_', axiom,
7.22/7.41	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
7.22/7.41	     ((A0 = A1) <=>
7.22/7.41	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
7.22/7.41	tff('2', plain,
7.22/7.41	    ![X11 : $tType, X14 : X11 > $o, X16 : X11 > $o]:
7.22/7.41	      (X14 = X16
7.22/7.41	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X16)
7.22/7.41	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X14)),
7.22/7.41	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
7.22/7.41	tff('thm/sets/IN_INTER_', axiom,
7.22/7.41	  (![A:$tType,A0:(A > $o),A1:(A > $o),A2:A]:
7.22/7.41	     ('const/sets/IN'(A,A2,'const/sets/INTER'(A,A0,A1)) <=>
7.22/7.41	      ('const/sets/IN'(A,A2,A1) & 'const/sets/IN'(A,A2,A0))))).
7.22/7.41	tff('3', plain,
7.22/7.41	    ![X6 : $tType, X7 : X6, X8 : X6 > $o, X9 : X6 > $o]:
7.22/7.41	      ('const/sets/IN'(X6, X7, X8)
7.22/7.41	       | ~ 'const/sets/IN'(X6, X7, 'const/sets/INTER'(X6, X9, X8))),
7.22/7.41	    inference('cnf', [status(esa)], [thm/sets/IN_INTER_])).
7.22/7.41	tff('4', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
7.22/7.41	      (~ $true
7.22/7.41	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), 
7.22/7.41	           X3)
7.22/7.41	       | X3 = 'const/sets/INTER'(X0, X2, X1)
7.22/7.41	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), 
7.22/7.41	           X1)),
7.22/7.41	    inference('sup-', [status(thm)], ['2', '3'])).
7.22/7.41	tff('5', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
7.22/7.41	      ('const/sets/IN'(X0, sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), X1)
7.22/7.41	       | X3 = 'const/sets/INTER'(X0, X2, X1)
7.22/7.41	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), 
7.22/7.41	           X3)),
7.22/7.41	    inference('simplify', [status(thm)], ['4'])).
7.22/7.41	tff('6', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
7.22/7.41	      (~ $true
7.22/7.41	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X1), 
7.22/7.41	           X1)
7.22/7.41	       | X1 = 'const/sets/INTER'(X0, X2, X1)),
7.22/7.41	    inference('eq_fact', [status(thm)], ['5'])).
7.22/7.41	tff('7', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
7.22/7.41	      (X1 = 'const/sets/INTER'(X0, X2, X1)
7.22/7.41	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X1), 
7.22/7.41	           X1)),
7.22/7.41	    inference('simplify', [status(thm)], ['6'])).
7.22/7.41	tff('8', plain,
7.22/7.41	    ![X6 : $tType, X8 : X6 > $o, X9 : X6 > $o, X10 : X6]:
7.22/7.41	      ('const/sets/IN'(X6, X10, 'const/sets/INTER'(X6, X9, X8))
7.22/7.41	       | ~ 'const/sets/IN'(X6, X10, X9)
7.22/7.41	       | ~ 'const/sets/IN'(X6, X10, X8)),
7.22/7.41	    inference('cnf', [status(esa)], [thm/sets/IN_INTER_])).
7.22/7.41	tff('9', plain,
7.22/7.41	    ![X11 : $tType, X14 : X11 > $o, X16 : X11 > $o]:
7.22/7.41	      (X14 = X16
7.22/7.41	       | ~ 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X16)
7.22/7.41	       | ~ 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X14)),
7.22/7.41	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
7.22/7.41	tff('10', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
7.22/7.41	      (~ $true
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), X1)
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), X2)
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), X3)
7.22/7.41	       | X3 = 'const/sets/INTER'(X0, X2, X1)),
7.22/7.41	    inference('sup-', [status(thm)], ['8', '9'])).
7.22/7.41	tff('11', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
7.22/7.41	      (X3 = 'const/sets/INTER'(X0, X2, X1)
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), X3)
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), X2)
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), X1)),
7.22/7.41	    inference('simplify', [status(thm)], ['10'])).
7.22/7.41	tff('12', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o]:
7.22/7.41	      (~ $true
7.22/7.41	       | X1 = 'const/sets/INTER'(X0, X1, X1)
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, 'const/sets/INTER'(X0, X1, X1), X1), X1)
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, 'const/sets/INTER'(X0, X1, X1), X1), X1)
7.22/7.41	       | X1 = 'const/sets/INTER'(X0, X1, X1)),
7.22/7.41	    inference('sup-', [status(thm)], ['7', '11'])).
7.22/7.41	tff('13', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o]:
7.22/7.41	      (~ 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/INTER'(X0, X1, X1), X1), 
7.22/7.41	           X1)
7.22/7.41	       | X1 = 'const/sets/INTER'(X0, X1, X1)),
7.22/7.41	    inference('simplify', [status(thm)], ['12'])).
7.22/7.41	tff('14', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o]: X1 = 'const/sets/INTER'(X0, X1, X1),
7.22/7.41	    inference('clc', [status(thm)], ['13', '7'])).
7.22/7.41	tff('thm/sets/IN_', axiom,
7.22/7.41	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
7.22/7.41	tff('15', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
7.22/7.41	      (X1(X2) | ~ 'const/sets/IN'(X0, X2, X1)),
7.22/7.41	    inference('cnf', [status(esa)], [thm/sets/IN_])).
7.22/7.41	tff('16', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
7.22/7.41	      (~ $true
7.22/7.41	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
7.22/7.41	       | X2 = X1
7.22/7.41	       | X1(sk_A2(X0, X1, X2))),
7.22/7.41	    inference('sup-', [status(thm)], ['2', '15'])).
7.22/7.41	tff('17', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
7.22/7.41	      (X1(sk_A2(X0, X1, X2))
7.22/7.41	       | X2 = X1
7.22/7.41	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)),
7.22/7.41	    inference('simplify', [status(thm)], ['16'])).
7.22/7.41	tff('18', plain,
7.22/7.41	    ![X6 : $tType, X7 : X6, X8 : X6 > $o, X9 : X6 > $o]:
7.22/7.41	      ('const/sets/IN'(X6, X7, X9)
7.22/7.41	       | ~ 'const/sets/IN'(X6, X7, 'const/sets/INTER'(X6, X9, X8))),
7.22/7.41	    inference('cnf', [status(esa)], [thm/sets/IN_INTER_])).
7.22/7.41	tff('19', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
7.22/7.41	      (~ $true
7.22/7.41	       | 'const/sets/INTER'(X0, X2, X1) = X3
7.22/7.41	       | X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)))
7.22/7.41	       | 'const/sets/IN'(X0, sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)), 
7.22/7.41	           X2)),
7.22/7.41	    inference('sup-', [status(thm)], ['17', '18'])).
7.22/7.41	tff('20', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
7.22/7.41	      ('const/sets/IN'(X0, sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)), X2)
7.22/7.41	       | X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)))
7.22/7.41	       | 'const/sets/INTER'(X0, X2, X1) = X3),
7.22/7.41	    inference('simplify', [status(thm)], ['19'])).
7.22/7.41	tff('21', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
7.22/7.41	      (~ $true
7.22/7.41	       | 'const/sets/INTER'(X0, X1, X2) = X3
7.22/7.41	       | X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X1, X2)))
7.22/7.41	       | X1(sk_A2(X0, X3, 'const/sets/INTER'(X0, X1, X2)))),
7.22/7.41	    inference('sup-', [status(thm)], ['20', '15'])).
7.22/7.41	tff('22', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
7.22/7.41	      (X1(sk_A2(X0, X3, 'const/sets/INTER'(X0, X1, X2)))
7.22/7.41	       | X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X1, X2)))
7.22/7.41	       | 'const/sets/INTER'(X0, X1, X2) = X3),
7.22/7.41	    inference('simplify', [status(thm)], ['21'])).
7.22/7.41	tff('23', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
7.22/7.41	      (~ $true
7.22/7.41	       | 'const/sets/INTER'(X0, X1, X2) = X1
7.22/7.41	       | X1(sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)))),
7.22/7.41	    inference('eq_fact', [status(thm)], ['22'])).
7.22/7.41	tff('24', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
7.22/7.41	      (X1(sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)))
7.22/7.41	       | 'const/sets/INTER'(X0, X1, X2) = X1),
7.22/7.41	    inference('simplify', [status(thm)], ['23'])).
7.22/7.41	tff('25', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X3 : X0]:
7.22/7.41	      ('const/sets/IN'(X0, X3, X1) | ~ X1(X3)),
7.22/7.41	    inference('cnf', [status(esa)], [thm/sets/IN_])).
7.22/7.41	tff('26', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0]:
7.22/7.41	      (~ $true
7.22/7.41	       | ~ 'const/sets/INTER'(X0, X2, X1, X3)
7.22/7.41	       | 'const/sets/IN'(X0, X3, X1)),
7.22/7.41	    inference('sup-', [status(thm)], ['25', '3'])).
7.22/7.41	tff('27', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0]:
7.22/7.41	      ('const/sets/IN'(X0, X3, X1) | ~ 'const/sets/INTER'(X0, X2, X1, X3)),
7.22/7.41	    inference('simplify', [status(thm)], ['26'])).
7.22/7.41	tff('28', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
7.22/7.41	      (~ $true
7.22/7.41	       | 'const/sets/INTER'(X0, 'const/sets/INTER'(X0, X3, X2), X1)
7.22/7.41	          = 'const/sets/INTER'(X0, X3, X2)
7.22/7.41	       | 'const/sets/IN'(X0, 
7.22/7.41	           sk_A2(X0, 'const/sets/INTER'(X0, X3, X2), 
7.22/7.41	             'const/sets/INTER'(X0, 'const/sets/INTER'(X0, X3, X2), X1)), X2)),
7.22/7.41	    inference('sup-', [status(thm)], ['24', '27'])).
7.22/7.41	tff('29', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
7.22/7.41	      ('const/sets/IN'(X0, 
7.22/7.41	         sk_A2(X0, 'const/sets/INTER'(X0, X3, X2), 
7.22/7.41	           'const/sets/INTER'(X0, 'const/sets/INTER'(X0, X3, X2), X1)), X2)
7.22/7.41	       | 'const/sets/INTER'(X0, 'const/sets/INTER'(X0, X3, X2), X1)
7.22/7.41	          = 'const/sets/INTER'(X0, X3, X2)),
7.22/7.41	    inference('simplify', [status(thm)], ['28'])).
7.22/7.41	tff('30', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
7.22/7.41	      ('const/sets/IN'(X0, 
7.22/7.41	         sk_A2(X0, 'const/sets/INTER'(X0, X1, X1), 
7.22/7.41	           'const/sets/INTER'(X0, X1, X2)), X1)
7.22/7.41	       | 'const/sets/INTER'(X0, 'const/sets/INTER'(X0, X1, X1), X2)
7.22/7.41	          = 'const/sets/INTER'(X0, X1, X1)),
7.22/7.41	    inference('sup+', [status(thm)], ['14', '29'])).
7.22/7.41	tff('31', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
7.22/7.41	      ('const/sets/IN'(X0, sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)), X1)
7.22/7.41	       | 'const/sets/INTER'(X0, X1, X2) = X1),
7.22/7.41	    inference('demod', [status(thm)], ['30', '14', '14', '14'])).
7.22/7.41	tff('32', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
7.22/7.41	      (~ $true
7.22/7.41	       | ~ X1(sk_A2(X0, X1, X2))
7.22/7.41	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
7.22/7.41	       | X2 = X1),
7.22/7.41	    inference('sup-', [status(thm)], ['25', '9'])).
7.22/7.41	tff('33', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
7.22/7.41	      (X2 = X1
7.22/7.41	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
7.22/7.41	       | ~ X1(sk_A2(X0, X1, X2))),
7.22/7.41	    inference('simplify', [status(thm)], ['32'])).
7.22/7.41	tff('34', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
7.22/7.41	      (~ $true
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)), X1)
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)), X2)
7.22/7.41	       | ~ X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)))
7.22/7.41	       | 'const/sets/INTER'(X0, X2, X1) = X3),
7.22/7.41	    inference('sup-', [status(thm)], ['8', '33'])).
7.22/7.41	tff('35', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
7.22/7.41	      ('const/sets/INTER'(X0, X2, X1) = X3
7.22/7.41	       | ~ X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)))
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)), X2)
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)), X1)),
7.22/7.41	    inference('simplify', [status(thm)], ['34'])).
7.22/7.41	tff('36', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
7.22/7.41	      (~ $true
7.22/7.41	       | 'const/sets/INTER'(X0, X1, X2) = X1
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)), X2)
7.22/7.41	       | ~ X1(sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)))
7.22/7.41	       | 'const/sets/INTER'(X0, X1, X2) = X1),
7.22/7.41	    inference('sup-', [status(thm)], ['31', '35'])).
7.22/7.41	tff('37', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
7.22/7.41	      (~ X1(sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)))
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)), X2)
7.22/7.41	       | 'const/sets/INTER'(X0, X1, X2) = X1),
7.22/7.41	    inference('simplify', [status(thm)], ['36'])).
7.22/7.41	tff('38', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
7.22/7.41	      ('const/sets/INTER'(X0, X1, X2) = X1
7.22/7.41	       | ~ 'const/sets/IN'(X0, 
7.22/7.41	             sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)), X2)),
7.22/7.41	    inference('clc', [status(thm)], ['37', '24'])).
7.22/7.41	tff('39', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o]:
7.22/7.41	      (~ $true | 'const/sets/INTER'(X0, X1, 'const/sets/UNIV'(X0)) = X1),
7.22/7.41	    inference('sup-', [status(thm)], ['1', '38'])).
7.22/7.41	tff('40', plain,
7.22/7.41	    ![X0 : $tType, X1 : X0 > $o]:
7.22/7.41	      'const/sets/INTER'(X0, X1, 'const/sets/UNIV'(X0)) = X1,
7.22/7.41	    inference('simplify', [status(thm)], ['39'])).
7.22/7.41	tff('41', plain, sk_A0 != sk_A0,
7.22/7.41	    inference('demod', [status(thm)], ['0', '40'])).
7.22/7.41	tff('42', plain, $false, inference('simplify', [status(thm)], ['41'])).
7.22/7.41	
7.22/7.41	% SZS output end Refutation
7.22/7.41	EOF
