0.00/0.00	% File    : /export/starexec/sandbox/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    : 
0.00/0.01	#!/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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --sup-at-vars \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n048.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:28:54 CST 2018
6.60/6.81	% done 1218 iterations in 6.609s
6.60/6.81	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
6.60/6.81	% SZS output start Refutation
6.63/6.82	tff('thm/sets/INTER_UNIV_1', conjecture,
6.63/6.82	  (![A:$tType,A0:(A > $o)]:
6.63/6.82	     ('const/sets/INTER'(A,A0,'const/sets/UNIV'(A)) = A0))).
6.63/6.82	tff(zf_stmt_0, negated_conjecture,
6.63/6.82	  (~
6.63/6.82	    (![A:$tType,A0:(A > $o)]:
6.63/6.82	       ('const/sets/INTER'(A,A0,'const/sets/UNIV'(A)) = A0)))).
6.63/6.82	tff('0', plain,
6.63/6.82	    'const/sets/INTER'(sk_A, sk_A0, 'const/sets/UNIV'(sk_A)) != sk_A0,
6.63/6.82	    inference('cnf', [status(esa)], [zf_stmt_0])).
6.63/6.82	tff('1', plain,
6.63/6.82	    'const/sets/INTER'(sk_A, sk_A0, 'const/sets/UNIV'(sk_A), '#k1')
6.63/6.82	     != sk_A0('#k1'),
6.63/6.82	    inference('rw_lit', [status(thm)], ['0'])).
6.63/6.82	tff('thm/sets/IN_UNIV_', axiom,
6.63/6.82	  (![A:$tType,A0:A]: 'const/sets/IN'(A,A0,'const/sets/UNIV'(A)))).
6.63/6.82	tff('2', plain,
6.63/6.82	    ![X4 : $tType, X5 : X4]: 'const/sets/IN'(X4, X5, 'const/sets/UNIV'(X4)),
6.63/6.82	    inference('cnf', [status(esa)], [thm/sets/IN_UNIV_])).
6.63/6.82	tff('thm/sets/EXTENSION_', axiom,
6.63/6.82	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
6.63/6.82	     ((A0 = A1) <=>
6.63/6.82	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
6.63/6.82	tff('3', plain,
6.63/6.82	    ![X11 : $tType, X14 : X11 > $o, X16 : X11 > $o]:
6.63/6.82	      (X14 = X16
6.63/6.82	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X16)
6.63/6.82	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X14)),
6.63/6.82	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
6.63/6.82	tff('thm/sets/IN_INTER_', axiom,
6.63/6.82	  (![A:$tType,A0:(A > $o),A1:(A > $o),A2:A]:
6.63/6.82	     ('const/sets/IN'(A,A2,'const/sets/INTER'(A,A0,A1)) <=>
6.63/6.82	      ('const/sets/IN'(A,A2,A1) & 'const/sets/IN'(A,A2,A0))))).
6.63/6.82	tff('4', plain,
6.63/6.82	    ![X6 : $tType, X7 : X6, X8 : X6 > $o, X9 : X6 > $o]:
6.63/6.82	      ('const/sets/IN'(X6, X7, X8)
6.63/6.82	       | ~ 'const/sets/IN'(X6, X7, 'const/sets/INTER'(X6, X9, X8))),
6.63/6.82	    inference('cnf', [status(esa)], [thm/sets/IN_INTER_])).
6.63/6.82	tff('5', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
6.63/6.82	      (~ $true
6.63/6.82	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), 
6.63/6.82	           X3)
6.63/6.82	       | X3 = 'const/sets/INTER'(X0, X2, X1)
6.63/6.82	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), 
6.63/6.82	           X1)),
6.63/6.82	    inference('sup-', [status(thm)], ['3', '4'])).
6.63/6.82	tff('6', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
6.63/6.82	      ('const/sets/IN'(X0, sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), X1)
6.63/6.82	       | X3 = 'const/sets/INTER'(X0, X2, X1)
6.63/6.82	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), 
6.63/6.82	           X3)),
6.63/6.82	    inference('simplify', [status(thm)], ['5'])).
6.63/6.82	tff('7', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
6.63/6.82	      (~ $true
6.63/6.82	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X1), 
6.63/6.82	           X1)
6.63/6.82	       | X1 = 'const/sets/INTER'(X0, X2, X1)),
6.63/6.82	    inference('eq_fact', [status(thm)], ['6'])).
6.63/6.82	tff('8', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
6.63/6.82	      (X1 = 'const/sets/INTER'(X0, X2, X1)
6.63/6.82	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X1), 
6.63/6.82	           X1)),
6.63/6.82	    inference('simplify', [status(thm)], ['7'])).
6.63/6.82	tff('9', plain,
6.63/6.82	    ![X6 : $tType, X8 : X6 > $o, X9 : X6 > $o, X10 : X6]:
6.63/6.82	      ('const/sets/IN'(X6, X10, 'const/sets/INTER'(X6, X9, X8))
6.63/6.82	       | ~ 'const/sets/IN'(X6, X10, X9)
6.63/6.82	       | ~ 'const/sets/IN'(X6, X10, X8)),
6.63/6.82	    inference('cnf', [status(esa)], [thm/sets/IN_INTER_])).
6.63/6.82	tff('10', plain,
6.63/6.82	    ![X11 : $tType, X14 : X11 > $o, X16 : X11 > $o]:
6.63/6.82	      (X14 = X16
6.63/6.82	       | ~ 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X16)
6.63/6.82	       | ~ 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X14)),
6.63/6.82	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
6.63/6.82	tff('11', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
6.63/6.82	      (~ $true
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), X1)
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), X2)
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), X3)
6.63/6.82	       | X3 = 'const/sets/INTER'(X0, X2, X1)),
6.63/6.82	    inference('sup-', [status(thm)], ['9', '10'])).
6.63/6.82	tff('12', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
6.63/6.82	      (X3 = 'const/sets/INTER'(X0, X2, X1)
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), X3)
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), X2)
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, 'const/sets/INTER'(X0, X2, X1), X3), X1)),
6.63/6.82	    inference('simplify', [status(thm)], ['11'])).
6.63/6.82	tff('13', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o]:
6.63/6.82	      (~ $true
6.63/6.82	       | X1 = 'const/sets/INTER'(X0, X1, X1)
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, 'const/sets/INTER'(X0, X1, X1), X1), X1)
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, 'const/sets/INTER'(X0, X1, X1), X1), X1)
6.63/6.82	       | X1 = 'const/sets/INTER'(X0, X1, X1)),
6.63/6.82	    inference('sup-', [status(thm)], ['8', '12'])).
6.63/6.82	tff('14', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o]:
6.63/6.82	      (~ 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/INTER'(X0, X1, X1), X1), 
6.63/6.82	           X1)
6.63/6.82	       | X1 = 'const/sets/INTER'(X0, X1, X1)),
6.63/6.82	    inference('simplify', [status(thm)], ['13'])).
6.63/6.82	tff('15', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o]: X1 = 'const/sets/INTER'(X0, X1, X1),
6.63/6.82	    inference('clc', [status(thm)], ['14', '8'])).
6.63/6.82	tff('thm/sets/IN_', axiom,
6.63/6.82	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
6.63/6.82	tff('16', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
6.63/6.82	      (X1(X2) | ~ 'const/sets/IN'(X0, X2, X1)),
6.63/6.82	    inference('cnf', [status(esa)], [thm/sets/IN_])).
6.63/6.82	tff('17', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
6.63/6.82	      (~ $true
6.63/6.82	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
6.63/6.82	       | X2 = X1
6.63/6.82	       | X1(sk_A2(X0, X1, X2))),
6.63/6.82	    inference('sup-', [status(thm)], ['3', '16'])).
6.63/6.82	tff('18', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
6.63/6.82	      (X1(sk_A2(X0, X1, X2))
6.63/6.82	       | X2 = X1
6.63/6.82	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)),
6.63/6.82	    inference('simplify', [status(thm)], ['17'])).
6.63/6.82	tff('19', plain,
6.63/6.82	    ![X6 : $tType, X7 : X6, X8 : X6 > $o, X9 : X6 > $o]:
6.63/6.82	      ('const/sets/IN'(X6, X7, X9)
6.63/6.82	       | ~ 'const/sets/IN'(X6, X7, 'const/sets/INTER'(X6, X9, X8))),
6.63/6.82	    inference('cnf', [status(esa)], [thm/sets/IN_INTER_])).
6.63/6.82	tff('20', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
6.63/6.82	      (~ $true
6.63/6.82	       | 'const/sets/INTER'(X0, X2, X1) = X3
6.63/6.82	       | X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)))
6.63/6.82	       | 'const/sets/IN'(X0, sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)), 
6.63/6.82	           X2)),
6.63/6.82	    inference('sup-', [status(thm)], ['18', '19'])).
6.63/6.82	tff('21', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
6.63/6.82	      ('const/sets/IN'(X0, sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)), X2)
6.63/6.82	       | X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)))
6.63/6.82	       | 'const/sets/INTER'(X0, X2, X1) = X3),
6.63/6.82	    inference('simplify', [status(thm)], ['20'])).
6.63/6.82	tff('22', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
6.63/6.82	      (~ $true
6.63/6.82	       | 'const/sets/INTER'(X0, X1, X2) = X3
6.63/6.82	       | X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X1, X2)))
6.63/6.82	       | X1(sk_A2(X0, X3, 'const/sets/INTER'(X0, X1, X2)))),
6.63/6.82	    inference('sup-', [status(thm)], ['21', '16'])).
6.63/6.82	tff('23', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
6.63/6.82	      (X1(sk_A2(X0, X3, 'const/sets/INTER'(X0, X1, X2)))
6.63/6.82	       | X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X1, X2)))
6.63/6.82	       | 'const/sets/INTER'(X0, X1, X2) = X3),
6.63/6.82	    inference('simplify', [status(thm)], ['22'])).
6.63/6.82	tff('24', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
6.63/6.82	      (~ $true
6.63/6.82	       | 'const/sets/INTER'(X0, X1, X2) = X1
6.63/6.82	       | X1(sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)))),
6.63/6.82	    inference('eq_fact', [status(thm)], ['23'])).
6.63/6.82	tff('25', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
6.63/6.82	      (X1(sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)))
6.63/6.82	       | 'const/sets/INTER'(X0, X1, X2) = X1),
6.63/6.82	    inference('simplify', [status(thm)], ['24'])).
6.63/6.82	tff('26', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X3 : X0]:
6.63/6.82	      ('const/sets/IN'(X0, X3, X1) | ~ X1(X3)),
6.63/6.82	    inference('cnf', [status(esa)], [thm/sets/IN_])).
6.63/6.82	tff('27', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0]:
6.63/6.82	      (~ $true
6.63/6.82	       | ~ 'const/sets/INTER'(X0, X2, X1, X3)
6.63/6.82	       | 'const/sets/IN'(X0, X3, X1)),
6.63/6.82	    inference('sup-', [status(thm)], ['26', '4'])).
6.63/6.82	tff('28', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0]:
6.63/6.82	      ('const/sets/IN'(X0, X3, X1) | ~ 'const/sets/INTER'(X0, X2, X1, X3)),
6.63/6.82	    inference('simplify', [status(thm)], ['27'])).
6.63/6.82	tff('29', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
6.63/6.82	      (~ $true
6.63/6.82	       | 'const/sets/INTER'(X0, 'const/sets/INTER'(X0, X3, X2), X1)
6.63/6.82	          = 'const/sets/INTER'(X0, X3, X2)
6.63/6.82	       | 'const/sets/IN'(X0, 
6.63/6.82	           sk_A2(X0, 'const/sets/INTER'(X0, X3, X2), 
6.63/6.82	             'const/sets/INTER'(X0, 'const/sets/INTER'(X0, X3, X2), X1)), X2)),
6.63/6.82	    inference('sup-', [status(thm)], ['25', '28'])).
6.63/6.82	tff('30', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
6.63/6.82	      ('const/sets/IN'(X0, 
6.63/6.82	         sk_A2(X0, 'const/sets/INTER'(X0, X3, X2), 
6.63/6.82	           'const/sets/INTER'(X0, 'const/sets/INTER'(X0, X3, X2), X1)), X2)
6.63/6.82	       | 'const/sets/INTER'(X0, 'const/sets/INTER'(X0, X3, X2), X1)
6.63/6.82	          = 'const/sets/INTER'(X0, X3, X2)),
6.63/6.82	    inference('simplify', [status(thm)], ['29'])).
6.63/6.82	tff('31', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
6.63/6.82	      ('const/sets/IN'(X0, 
6.63/6.82	         sk_A2(X0, 'const/sets/INTER'(X0, X1, X1), 
6.63/6.82	           'const/sets/INTER'(X0, X1, X2)), X1)
6.63/6.82	       | 'const/sets/INTER'(X0, 'const/sets/INTER'(X0, X1, X1), X2)
6.63/6.82	          = 'const/sets/INTER'(X0, X1, X1)),
6.63/6.82	    inference('sup+', [status(thm)], ['15', '30'])).
6.63/6.82	tff('32', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
6.63/6.82	      ('const/sets/IN'(X0, sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)), X1)
6.63/6.82	       | 'const/sets/INTER'(X0, X1, X2) = X1),
6.63/6.82	    inference('demod', [status(thm)], ['31', '15', '15', '15'])).
6.63/6.82	tff('33', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
6.63/6.82	      (~ $true
6.63/6.82	       | ~ X1(sk_A2(X0, X1, X2))
6.63/6.82	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
6.63/6.82	       | X2 = X1),
6.63/6.82	    inference('sup-', [status(thm)], ['26', '10'])).
6.63/6.82	tff('34', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
6.63/6.82	      (X2 = X1
6.63/6.82	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X2)
6.63/6.82	       | ~ X1(sk_A2(X0, X1, X2))),
6.63/6.82	    inference('simplify', [status(thm)], ['33'])).
6.63/6.82	tff('35', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
6.63/6.82	      (~ $true
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)), X1)
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)), X2)
6.63/6.82	       | ~ X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)))
6.63/6.82	       | 'const/sets/INTER'(X0, X2, X1) = X3),
6.63/6.82	    inference('sup-', [status(thm)], ['9', '34'])).
6.63/6.82	tff('36', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
6.63/6.82	      ('const/sets/INTER'(X0, X2, X1) = X3
6.63/6.82	       | ~ X3(sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)))
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)), X2)
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, X3, 'const/sets/INTER'(X0, X2, X1)), X1)),
6.63/6.82	    inference('simplify', [status(thm)], ['35'])).
6.63/6.82	tff('37', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
6.63/6.82	      (~ $true
6.63/6.82	       | 'const/sets/INTER'(X0, X1, X2) = X1
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)), X2)
6.63/6.82	       | ~ X1(sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)))
6.63/6.82	       | 'const/sets/INTER'(X0, X1, X2) = X1),
6.63/6.82	    inference('sup-', [status(thm)], ['32', '36'])).
6.63/6.82	tff('38', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
6.63/6.82	      (~ X1(sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)))
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)), X2)
6.63/6.82	       | 'const/sets/INTER'(X0, X1, X2) = X1),
6.63/6.82	    inference('simplify', [status(thm)], ['37'])).
6.63/6.82	tff('39', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
6.63/6.82	      ('const/sets/INTER'(X0, X1, X2) = X1
6.63/6.82	       | ~ 'const/sets/IN'(X0, 
6.63/6.82	             sk_A2(X0, X1, 'const/sets/INTER'(X0, X1, X2)), X2)),
6.63/6.82	    inference('clc', [status(thm)], ['38', '25'])).
6.63/6.82	tff('40', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o]:
6.63/6.82	      (~ $true | 'const/sets/INTER'(X0, X1, 'const/sets/UNIV'(X0)) = X1),
6.63/6.82	    inference('sup-', [status(thm)], ['2', '39'])).
6.63/6.82	tff('41', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o]:
6.63/6.82	      'const/sets/INTER'(X0, X1, 'const/sets/UNIV'(X0)) = X1,
6.63/6.82	    inference('simplify', [status(thm)], ['40'])).
6.63/6.82	tff('42', plain,
6.63/6.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
6.63/6.82	      'const/sets/INTER'(X0, X1, 'const/sets/UNIV'(X0), X2) = X1(X2),
6.63/6.82	    inference('ho_complete_eq', [status(thm)], ['41'])).
6.63/6.82	tff('43', plain, sk_A0('#k1') != sk_A0('#k1'),
6.63/6.82	    inference('demod', [status(thm)], ['1', '42'])).
6.63/6.82	tff('44', plain, $false, inference('simplify', [status(thm)], ['43'])).
6.63/6.82	
6.63/6.82	% SZS output end Refutation
6.63/6.82	EOF
