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    : 
0.00/0.00	#!/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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n158.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:39:24 CST 2018
0.00/0.22	% done 32 iterations in 0.023s
0.00/0.22	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff('thm/iterate/SUM_LT_ALL_', conjecture,
0.00/0.22	  (![A:$tType,A0:(A > 'type/realax/real'),A1:(A > 'type/realax/real'),
0.00/0.22	     A2:(A > $o)]:
0.00/0.22	     (((![A3:A]:
0.00/0.22	          ('const/sets/IN'(A,A3,A2) => 'const/realax/real_lt'(A0(A3),A1(A3)))) & 
0.00/0.22	       (A2 != 'const/sets/EMPTY'(A)) & 'const/sets/FINITE'(A,A2)) =>
0.00/0.22	      'const/realax/real_lt'('const/iterate/sum'(A,A2,A0),
0.00/0.22	                             'const/iterate/sum'(A,A2,A1))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (![A:$tType,A0:(A > 'type/realax/real'),A1:(A > 'type/realax/real'),
0.00/0.22	       A2:(A > $o)]:
0.00/0.22	       (((![A3:A]:
0.00/0.22	            ('const/sets/IN'(A,A3,A2) =>
0.00/0.22	             'const/realax/real_lt'(A0(A3),A1(A3)))) & 
0.00/0.22	         (A2 != 'const/sets/EMPTY'(A)) & 'const/sets/FINITE'(A,A2)) =>
0.00/0.22	        'const/realax/real_lt'('const/iterate/sum'(A,A2,A0),
0.00/0.22	                               'const/iterate/sum'(A,A2,A1)))))).
0.00/0.22	tff('0', plain, sk_A2 != 'const/sets/EMPTY'(sk_A),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('1', plain, sk_A2('#k1') != 'const/sets/EMPTY'(sk_A, '#k1'),
0.00/0.22	    inference('rw_lit', [status(thm)], ['0'])).
0.00/0.22	tff('thm/sets/MEMBER_NOT_EMPTY_', axiom,
0.00/0.22	  (![A:$tType,A0:(A > $o)]:
0.00/0.22	     ((?[A1:A]: 'const/sets/IN'(A,A1,A0)) <=> (A0 != 'const/sets/EMPTY'(A))))).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X9 : $tType, X12 : X9 > $o]:
0.00/0.22	      ('const/sets/IN'(X9, sk_A1(X9, X12), X12)
0.00/0.22	       | X12 = 'const/sets/EMPTY'(X9)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/sets/MEMBER_NOT_EMPTY_])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X13 : sk_A]:
0.00/0.22	      ('const/realax/real_lt'(sk_A0(X13), sk_A11(X13))
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, X13, sk_A2)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('thm/iterate/SUM_LT_', axiom,
0.00/0.22	  (![A:$tType,A0:(A > 'type/realax/real'),A1:(A > 'type/realax/real'),
0.00/0.22	     A2:(A > $o)]:
0.00/0.22	     (((?[A3:A]:
0.00/0.22	          ('const/realax/real_lt'(A0(A3),A1(A3)) & 'const/sets/IN'(A,A3,A2))) & 
0.00/0.22	       (![A3:A]:
0.00/0.22	          ('const/sets/IN'(A,A3,A2) => 'const/realax/real_le'(A0(A3),A1(A3)))) & 
0.00/0.22	       'const/sets/FINITE'(A,A2)) =>
0.00/0.22	      'const/realax/real_lt'('const/iterate/sum'(A,A2,A0),
0.00/0.22	                             'const/iterate/sum'(A,A2,A1))))).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X2 : $tType, X3 : X2 > $o, X4 : X2 > 'type/realax/real', 
0.00/0.22	      X5 : X2 > 'type/realax/real', X6 : X2]:
0.00/0.22	      ('const/realax/real_lt'('const/iterate/sum'(X2, X3, X4), 
0.00/0.22	         'const/iterate/sum'(X2, X3, X5))
0.00/0.22	       | ~ 'const/sets/FINITE'(X2, X3)
0.00/0.22	       | 'const/sets/IN'(X2, sk_A3(X2, X3, X5, X4), X3)
0.00/0.22	       | ~ 'const/sets/IN'(X2, X6, X3)
0.00/0.22	       | ~ 'const/realax/real_lt'(X4(X6), X5(X6))),
0.00/0.22	    inference('cnf', [status(esa)], [thm/iterate/SUM_LT_])).
0.00/0.22	tff('5', plain,
0.00/0.22	    ![X0 : sk_A, X1 : sk_A > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, X0, sk_A2)
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, X0, X1)
0.00/0.22	       | 'const/sets/IN'(sk_A, sk_A3(sk_A, X1, sk_A11, sk_A0), X1)
0.00/0.22	       | ~ 'const/sets/FINITE'(sk_A, X1)
0.00/0.22	       | 'const/realax/real_lt'('const/iterate/sum'(sk_A, X1, sk_A0), 
0.00/0.22	           'const/iterate/sum'(sk_A, X1, sk_A11))),
0.00/0.22	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X0 : sk_A, X1 : sk_A > $o]:
0.00/0.22	      ('const/realax/real_lt'('const/iterate/sum'(sk_A, X1, sk_A0), 
0.00/0.22	         'const/iterate/sum'(sk_A, X1, sk_A11))
0.00/0.22	       | ~ 'const/sets/FINITE'(sk_A, X1)
0.00/0.22	       | 'const/sets/IN'(sk_A, sk_A3(sk_A, X1, sk_A11, sk_A0), X1)
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, X0, X1)
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, X0, sk_A2)),
0.00/0.22	    inference('simplify', [status(thm)], ['5'])).
0.00/0.22	tff('7', plain,
0.00/0.22	    ![X0 : sk_A > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | sk_A2 = 'const/sets/EMPTY'(sk_A)
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), X0)
0.00/0.22	       | 'const/sets/IN'(sk_A, sk_A3(sk_A, X0, sk_A11, sk_A0), X0)
0.00/0.22	       | ~ 'const/sets/FINITE'(sk_A, X0)
0.00/0.22	       | 'const/realax/real_lt'('const/iterate/sum'(sk_A, X0, sk_A0), 
0.00/0.22	           'const/iterate/sum'(sk_A, X0, sk_A11))),
0.00/0.22	    inference('sup-', [status(thm)], ['2', '6'])).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X0 : sk_A > $o]:
0.00/0.22	      ('const/realax/real_lt'('const/iterate/sum'(sk_A, X0, sk_A0), 
0.00/0.22	         'const/iterate/sum'(sk_A, X0, sk_A11))
0.00/0.22	       | ~ 'const/sets/FINITE'(sk_A, X0)
0.00/0.22	       | 'const/sets/IN'(sk_A, sk_A3(sk_A, X0, sk_A11, sk_A0), X0)
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), X0)
0.00/0.22	       | sk_A2 = 'const/sets/EMPTY'(sk_A)),
0.00/0.22	    inference('simplify', [status(thm)], ['7'])).
0.00/0.22	tff('9', plain,
0.00/0.22	    ~ 'const/realax/real_lt'('const/iterate/sum'(sk_A, sk_A2, sk_A0), 
0.00/0.22	        'const/iterate/sum'(sk_A, sk_A2, sk_A11)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('10', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | sk_A2 = 'const/sets/EMPTY'(sk_A)
0.00/0.22	     | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), sk_A2)
0.00/0.22	     | 'const/sets/IN'(sk_A, sk_A3(sk_A, sk_A2, sk_A11, sk_A0), sk_A2)
0.00/0.22	     | ~ 'const/sets/FINITE'(sk_A, sk_A2)),
0.00/0.22	    inference('sup-', [status(thm)], ['8', '9'])).
0.00/0.22	tff('11', plain, 'const/sets/FINITE'(sk_A, sk_A2),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('12', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | sk_A2 = 'const/sets/EMPTY'(sk_A)
0.00/0.22	     | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), sk_A2)
0.00/0.22	     | 'const/sets/IN'(sk_A, sk_A3(sk_A, sk_A2, sk_A11, sk_A0), sk_A2)
0.00/0.22	     | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['10', '11'])).
0.00/0.22	tff('13', plain,
0.00/0.22	    ('const/sets/IN'(sk_A, sk_A3(sk_A, sk_A2, sk_A11, sk_A0), sk_A2)
0.00/0.22	     | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), sk_A2)
0.00/0.22	     | sk_A2 = 'const/sets/EMPTY'(sk_A)),
0.00/0.22	    inference('simplify', [status(thm)], ['12'])).
0.00/0.22	tff('14', plain,
0.00/0.22	    (sk_A2 = 'const/sets/EMPTY'(sk_A)
0.00/0.22	     | 'const/sets/IN'(sk_A, sk_A3(sk_A, sk_A2, sk_A11, sk_A0), sk_A2)),
0.00/0.22	    inference('clc', [status(thm)], ['13', '2'])).
0.00/0.22	tff('thm/realarith/REAL_LT_IMP_LE_', axiom,
0.00/0.22	  (![A:'type/realax/real',A0:'type/realax/real']:
0.00/0.22	     ('const/realax/real_lt'(A,A0) => 'const/realax/real_le'(A,A0)))).
0.00/0.22	tff('15', plain,
0.00/0.22	    ![X7 : 'type/realax/real', X8 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(X7, X8) | ~ 'const/realax/real_lt'(X7, X8)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/realarith/REAL_LT_IMP_LE_])).
0.00/0.22	tff('16', plain,
0.00/0.22	    ![X2 : $tType, X3 : X2 > $o, X4 : X2 > 'type/realax/real', 
0.00/0.22	      X5 : X2 > 'type/realax/real', X6 : X2]:
0.00/0.22	      ('const/realax/real_lt'('const/iterate/sum'(X2, X3, X4), 
0.00/0.22	         'const/iterate/sum'(X2, X3, X5))
0.00/0.22	       | ~ 'const/sets/FINITE'(X2, X3)
0.00/0.22	       | ~ 'const/realax/real_le'(X4(sk_A3(X2, X3, X5, X4)), 
0.00/0.22	             X5(sk_A3(X2, X3, X5, X4)))
0.00/0.22	       | ~ 'const/sets/IN'(X2, X6, X3)
0.00/0.22	       | ~ 'const/realax/real_lt'(X4(X6), X5(X6))),
0.00/0.22	    inference('cnf', [status(esa)], [thm/iterate/SUM_LT_])).
0.00/0.22	tff('17', plain,
0.00/0.22	    ![X0 : sk_A, X1 : sk_A > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, X0, sk_A2)
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, X0, X1)
0.00/0.22	       | ~ 'const/realax/real_le'(sk_A0(sk_A3(sk_A, X1, sk_A11, sk_A0)), 
0.00/0.22	             sk_A11(sk_A3(sk_A, X1, sk_A11, sk_A0)))
0.00/0.22	       | ~ 'const/sets/FINITE'(sk_A, X1)
0.00/0.22	       | 'const/realax/real_lt'('const/iterate/sum'(sk_A, X1, sk_A0), 
0.00/0.22	           'const/iterate/sum'(sk_A, X1, sk_A11))),
0.00/0.22	    inference('sup-', [status(thm)], ['3', '16'])).
0.00/0.22	tff('18', plain,
0.00/0.22	    ![X0 : sk_A, X1 : sk_A > $o]:
0.00/0.22	      ('const/realax/real_lt'('const/iterate/sum'(sk_A, X1, sk_A0), 
0.00/0.22	         'const/iterate/sum'(sk_A, X1, sk_A11))
0.00/0.22	       | ~ 'const/sets/FINITE'(sk_A, X1)
0.00/0.22	       | ~ 'const/realax/real_le'(sk_A0(sk_A3(sk_A, X1, sk_A11, sk_A0)), 
0.00/0.22	             sk_A11(sk_A3(sk_A, X1, sk_A11, sk_A0)))
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, X0, X1)
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, X0, sk_A2)),
0.00/0.22	    inference('simplify', [status(thm)], ['17'])).
0.00/0.22	tff('19', plain,
0.00/0.22	    ![X0 : sk_A > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | sk_A2 = 'const/sets/EMPTY'(sk_A)
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), X0)
0.00/0.22	       | ~ 'const/realax/real_le'(sk_A0(sk_A3(sk_A, X0, sk_A11, sk_A0)), 
0.00/0.22	             sk_A11(sk_A3(sk_A, X0, sk_A11, sk_A0)))
0.00/0.22	       | ~ 'const/sets/FINITE'(sk_A, X0)
0.00/0.22	       | 'const/realax/real_lt'('const/iterate/sum'(sk_A, X0, sk_A0), 
0.00/0.22	           'const/iterate/sum'(sk_A, X0, sk_A11))),
0.00/0.22	    inference('sup-', [status(thm)], ['2', '18'])).
0.00/0.22	tff('20', plain,
0.00/0.22	    ![X0 : sk_A > $o]:
0.00/0.22	      ('const/realax/real_lt'('const/iterate/sum'(sk_A, X0, sk_A0), 
0.00/0.22	         'const/iterate/sum'(sk_A, X0, sk_A11))
0.00/0.22	       | ~ 'const/sets/FINITE'(sk_A, X0)
0.00/0.22	       | ~ 'const/realax/real_le'(sk_A0(sk_A3(sk_A, X0, sk_A11, sk_A0)), 
0.00/0.22	             sk_A11(sk_A3(sk_A, X0, sk_A11, sk_A0)))
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), X0)
0.00/0.22	       | sk_A2 = 'const/sets/EMPTY'(sk_A)),
0.00/0.22	    inference('simplify', [status(thm)], ['19'])).
0.00/0.22	tff('21', plain,
0.00/0.22	    ![X0 : sk_A > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ 'const/realax/real_lt'(sk_A0(sk_A3(sk_A, X0, sk_A11, sk_A0)), 
0.00/0.22	             sk_A11(sk_A3(sk_A, X0, sk_A11, sk_A0)))
0.00/0.22	       | sk_A2 = 'const/sets/EMPTY'(sk_A)
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), X0)
0.00/0.22	       | ~ 'const/sets/FINITE'(sk_A, X0)
0.00/0.22	       | 'const/realax/real_lt'('const/iterate/sum'(sk_A, X0, sk_A0), 
0.00/0.22	           'const/iterate/sum'(sk_A, X0, sk_A11))),
0.00/0.22	    inference('sup-', [status(thm)], ['15', '20'])).
0.00/0.22	tff('22', plain,
0.00/0.22	    ![X0 : sk_A > $o]:
0.00/0.22	      ('const/realax/real_lt'('const/iterate/sum'(sk_A, X0, sk_A0), 
0.00/0.22	         'const/iterate/sum'(sk_A, X0, sk_A11))
0.00/0.22	       | ~ 'const/sets/FINITE'(sk_A, X0)
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), X0)
0.00/0.22	       | sk_A2 = 'const/sets/EMPTY'(sk_A)
0.00/0.22	       | ~ 'const/realax/real_lt'(sk_A0(sk_A3(sk_A, X0, sk_A11, sk_A0)), 
0.00/0.22	             sk_A11(sk_A3(sk_A, X0, sk_A11, sk_A0)))),
0.00/0.22	    inference('simplify', [status(thm)], ['21'])).
0.00/0.22	tff('23', plain,
0.00/0.22	    ![X0 : sk_A > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, sk_A3(sk_A, X0, sk_A11, sk_A0), sk_A2)
0.00/0.22	       | sk_A2 = 'const/sets/EMPTY'(sk_A)
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), X0)
0.00/0.22	       | ~ 'const/sets/FINITE'(sk_A, X0)
0.00/0.22	       | 'const/realax/real_lt'('const/iterate/sum'(sk_A, X0, sk_A0), 
0.00/0.22	           'const/iterate/sum'(sk_A, X0, sk_A11))),
0.00/0.22	    inference('sup-', [status(thm)], ['3', '22'])).
0.00/0.22	tff('24', plain,
0.00/0.22	    ![X0 : sk_A > $o]:
0.00/0.22	      ('const/realax/real_lt'('const/iterate/sum'(sk_A, X0, sk_A0), 
0.00/0.22	         'const/iterate/sum'(sk_A, X0, sk_A11))
0.00/0.22	       | ~ 'const/sets/FINITE'(sk_A, X0)
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), X0)
0.00/0.22	       | sk_A2 = 'const/sets/EMPTY'(sk_A)
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, sk_A3(sk_A, X0, sk_A11, sk_A0), sk_A2)),
0.00/0.22	    inference('simplify', [status(thm)], ['23'])).
0.00/0.22	tff('25', plain,
0.00/0.22	    ![X9 : $tType, X10 : X9 > $o, X11 : X9]:
0.00/0.22	      (X10 != 'const/sets/EMPTY'(X9) | ~ 'const/sets/IN'(X9, X11, X10)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/sets/MEMBER_NOT_EMPTY_])).
0.00/0.22	tff('26', plain,
0.00/0.22	    ![X0 : sk_A > $o]:
0.00/0.22	      (~ 'const/sets/IN'(sk_A, sk_A3(sk_A, X0, sk_A11, sk_A0), sk_A2)
0.00/0.22	       | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), X0)
0.00/0.22	       | ~ 'const/sets/FINITE'(sk_A, X0)
0.00/0.22	       | 'const/realax/real_lt'('const/iterate/sum'(sk_A, X0, sk_A0), 
0.00/0.22	           'const/iterate/sum'(sk_A, X0, sk_A11))),
0.00/0.22	    inference('clc', [status(thm)], ['24', '25'])).
0.00/0.22	tff('27', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ 'const/sets/FINITE'(sk_A, sk_A2)
0.00/0.22	     | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), sk_A2)
0.00/0.22	     | ~ 'const/sets/IN'(sk_A, sk_A3(sk_A, sk_A2, sk_A11, sk_A0), sk_A2)),
0.00/0.22	    inference('sup-', [status(thm)], ['26', '9'])).
0.00/0.22	tff('28', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ $true
0.00/0.22	     | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), sk_A2)
0.00/0.22	     | ~ 'const/sets/IN'(sk_A, sk_A3(sk_A, sk_A2, sk_A11, sk_A0), sk_A2)),
0.00/0.22	    inference('demod', [status(thm)], ['27', '11'])).
0.00/0.22	tff('29', plain,
0.00/0.22	    (~ 'const/sets/IN'(sk_A, sk_A3(sk_A, sk_A2, sk_A11, sk_A0), sk_A2)
0.00/0.22	     | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), sk_A2)),
0.00/0.22	    inference('simplify', [status(thm)], ['28'])).
0.00/0.22	tff('30', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | sk_A2 = 'const/sets/EMPTY'(sk_A)
0.00/0.22	     | ~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), sk_A2)),
0.00/0.22	    inference('sup-', [status(thm)], ['14', '29'])).
0.00/0.22	tff('31', plain,
0.00/0.22	    (~ 'const/sets/IN'(sk_A, sk_A1(sk_A, sk_A2), sk_A2)
0.00/0.22	     | sk_A2 = 'const/sets/EMPTY'(sk_A)),
0.00/0.22	    inference('simplify', [status(thm)], ['30'])).
0.00/0.22	tff('32', plain, sk_A2 = 'const/sets/EMPTY'(sk_A),
0.00/0.22	    inference('clc', [status(thm)], ['31', '2'])).
0.00/0.22	tff('33', plain, ![X1 : sk_A]: sk_A2(X1) = 'const/sets/EMPTY'(sk_A, X1),
0.00/0.22	    inference('ho_complete_eq', [status(thm)], ['32'])).
0.00/0.22	tff('34', plain, sk_A2('#k1') != sk_A2('#k1'),
0.00/0.22	    inference('demod', [status(thm)], ['1', '33'])).
0.00/0.22	tff('35', plain, $false, inference('simplify', [status(thm)], ['34'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
