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    : rpo6
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
0.00/0.19	% Computer   : n189.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 18:44:24 CST 2018
0.00/0.22	% done 55 iterations in 0.016s
0.00/0.22	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff('thm/sets/INF_', axiom,
0.00/0.22	  (![A:('type/realax/real' > $o)]:
0.00/0.22	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.22	       (?[A0:'type/realax/real']:
0.00/0.22	          (![A1:'type/realax/real']:
0.00/0.22	             ('const/sets/IN'('type/realax/real',A1,A) =>
0.00/0.22	              'const/realax/real_le'(A0,A1))))) =>
0.00/0.22	      ((![A0:'type/realax/real']:
0.00/0.22	          ('const/sets/IN'('type/realax/real',A0,A) =>
0.00/0.22	           'const/realax/real_le'('const/sets/inf'(A),A0))) & 
0.00/0.22	       (![A0:'type/realax/real']:
0.00/0.22	          ((![A1:'type/realax/real']:
0.00/0.22	              ('const/sets/IN'('type/realax/real',A1,A) =>
0.00/0.22	               'const/realax/real_le'(A0,A1))) =>
0.00/0.22	           'const/realax/real_le'(A0,'const/sets/inf'(A)))))))).
0.00/0.22	tff(zf_stmt_0, axiom,
0.00/0.22	  (('const/sets/IN'('type/realax/real',A1,A) => 'const/realax/real_le'(A0,A1)) =>
0.00/0.22	   zip_tseitin1(A1,A0,A))).
0.00/0.22	tff('0', plain,
0.00/0.22	    ![X9 : 'type/realax/real' > $o, X10 : 'type/realax/real', 
0.00/0.22	      X11 : 'type/realax/real']:
0.00/0.22	      (zip_tseitin1(X10, X11, X9)
0.00/0.22	       | 'const/sets/IN'('type/realax/real', X10, X9)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff(zf_stmt_1, axiom,
0.00/0.22	  (zip_tseitin2(A) =>
0.00/0.22	   ((![A0:'type/realax/real']:
0.00/0.22	       ((![A1:'type/realax/real']: zip_tseitin1(A1,A0,A)) =>
0.00/0.22	        'const/realax/real_le'(A0,'const/sets/inf'(A)))) & 
0.00/0.22	    (![A0:'type/realax/real']:
0.00/0.22	       ('const/sets/IN'('type/realax/real',A0,A) =>
0.00/0.22	        'const/realax/real_le'('const/sets/inf'(A),A0)))))).
0.00/0.22	tff('1', plain,
0.00/0.22	    ![X9 : 'type/realax/real' > $o, X12 : 'type/realax/real']:
0.00/0.22	      (~ zip_tseitin1(sk_A11(X12, X9), X12, X9)
0.00/0.22	       | 'const/realax/real_le'(X12, 'const/sets/inf'(X9))
0.00/0.22	       | ~ zip_tseitin2(X9)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | 'const/sets/IN'('type/realax/real', sk_A11(X1, X0), X0)
0.00/0.22	       | ~ zip_tseitin2(X0)
0.00/0.22	       | 'const/realax/real_le'(X1, 'const/sets/inf'(X0))),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(X1, 'const/sets/inf'(X0))
0.00/0.22	       | ~ zip_tseitin2(X0)
0.00/0.22	       | 'const/sets/IN'('type/realax/real', sk_A11(X1, X0), X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['2'])).
0.00/0.22	tff('thm/sets/REAL_INF_BOUNDS_', conjecture,
0.00/0.22	  (![A:('type/realax/real' > $o),A0:'type/realax/real',A1:'type/realax/real']:
0.00/0.22	     (((![A2:'type/realax/real']:
0.00/0.22	          ('const/sets/IN'('type/realax/real',A2,A) =>
0.00/0.22	           ('const/realax/real_le'(A2,A1) & 'const/realax/real_le'(A0,A2)))) & 
0.00/0.22	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.22	      ('const/realax/real_le'('const/sets/inf'(A),A1) & 
0.00/0.22	       'const/realax/real_le'(A0,'const/sets/inf'(A)))))).
0.00/0.22	tff(zf_stmt_2, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (![A:('type/realax/real' > $o),A0:'type/realax/real',
0.00/0.22	       A1:'type/realax/real']:
0.00/0.22	       (((![A2:'type/realax/real']:
0.00/0.22	            ('const/sets/IN'('type/realax/real',A2,A) =>
0.00/0.22	             ('const/realax/real_le'(A2,A1) & 'const/realax/real_le'(A0,A2)))) & 
0.00/0.22	         (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.22	        ('const/realax/real_le'('const/sets/inf'(A),A1) & 
0.00/0.22	         'const/realax/real_le'(A0,'const/sets/inf'(A))))))).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X16 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(sk_A0, X16)
0.00/0.22	       | ~ 'const/sets/IN'('type/realax/real', X16, sk_A)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.22	tff('5', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ zip_tseitin2(sk_A)
0.00/0.22	       | 'const/realax/real_le'(X0, 'const/sets/inf'(sk_A))
0.00/0.22	       | 'const/realax/real_le'(sk_A0, sk_A11(X0, sk_A))),
0.00/0.22	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.22	tff(zf_stmt_3, axiom,
0.00/0.22	  (('const/sets/IN'('type/realax/real',A1,A) => 'const/realax/real_le'(A0,A1)) =>
0.00/0.22	   zip_tseitin0(A1,A0,A))).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X7 : 'type/realax/real', X8 : 'type/realax/real', 
0.00/0.22	      X9 : 'type/realax/real' > $o]:
0.00/0.22	      (zip_tseitin0(X7, X8, X9) | 'const/sets/IN'('type/realax/real', X7, X9)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.22	tff(zf_stmt_4, type, zip_tseitin2 : 'type/realax/real' > $o > $o).
0.00/0.22	tff(zf_stmt_5, type, zip_tseitin1 :
0.00/0.22	    ('type/realax/real' * 'type/realax/real' * 'type/realax/real' > $o) > $o).
0.00/0.22	tff(zf_stmt_6, type, zip_tseitin0 :
0.00/0.22	    ('type/realax/real' * 'type/realax/real' * 'type/realax/real' > $o) > $o).
0.00/0.22	tff(zf_stmt_7, axiom,
0.00/0.22	  (![A:('type/realax/real' > $o)]:
0.00/0.22	     (((?[A0:'type/realax/real']:
0.00/0.22	          (![A1:'type/realax/real']: zip_tseitin0(A1,A0,A))) & 
0.00/0.22	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.22	      zip_tseitin2(A)))).
0.00/0.22	tff('7', plain,
0.00/0.22	    ![X14 : 'type/realax/real' > $o, X15 : 'type/realax/real']:
0.00/0.22	      (zip_tseitin2(X14)
0.00/0.22	       | X14 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | ~ zip_tseitin0(sk_A12(X15, X14), X15, X14)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | 'const/sets/IN'('type/realax/real', sk_A12(X1, X0), X0)
0.00/0.22	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | zip_tseitin2(X0)),
0.00/0.22	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.22	tff('9', plain,
0.00/0.22	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.22	      (zip_tseitin2(X0)
0.00/0.22	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | 'const/sets/IN'('type/realax/real', sk_A12(X1, X0), X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['8'])).
0.00/0.22	tff('10', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | zip_tseitin2(sk_A)
0.00/0.22	       | 'const/realax/real_le'(sk_A0, sk_A12(X0, sk_A))),
0.00/0.22	    inference('sup-', [status(thm)], ['9', '4'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(sk_A0, sk_A12(X0, sk_A))
0.00/0.22	       | zip_tseitin2(sk_A)
0.00/0.22	       | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.22	    inference('simplify', [status(thm)], ['10'])).
0.00/0.22	tff('12', plain, sk_A != 'const/sets/EMPTY'('type/realax/real'),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.22	tff('13', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(sk_A0, sk_A12(X0, sk_A)) | zip_tseitin2(sk_A)),
0.00/0.22	    inference('simplify_reflect-', [status(thm)], ['11', '12'])).
0.00/0.22	tff('14', plain,
0.00/0.22	    ![X7 : 'type/realax/real', X8 : 'type/realax/real', 
0.00/0.22	      X9 : 'type/realax/real' > $o]:
0.00/0.22	      (zip_tseitin0(X7, X8, X9) | ~ 'const/realax/real_le'(X8, X7)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.22	tff('15', plain,
0.00/0.22	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ 'const/realax/real_le'(X1, sk_A12(X1, X0))
0.00/0.22	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | zip_tseitin2(X0)),
0.00/0.22	    inference('sup-', [status(thm)], ['14', '7'])).
0.00/0.22	tff('16', plain,
0.00/0.22	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.22	      (zip_tseitin2(X0)
0.00/0.22	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | ~ 'const/realax/real_le'(X1, sk_A12(X1, X0))),
0.00/0.22	    inference('simplify', [status(thm)], ['15'])).
0.00/0.22	tff('17', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | zip_tseitin2(sk_A)
0.00/0.22	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | zip_tseitin2(sk_A)),
0.00/0.22	    inference('sup-', [status(thm)], ['13', '16'])).
0.00/0.22	tff('18', plain,
0.00/0.22	    (sk_A = 'const/sets/EMPTY'('type/realax/real') | zip_tseitin2(sk_A)),
0.00/0.22	    inference('simplify', [status(thm)], ['17'])).
0.00/0.22	tff('19', plain, zip_tseitin2(sk_A),
0.00/0.22	    inference('simplify_reflect-', [status(thm)], ['18', '12'])).
0.00/0.22	tff('20', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ $true
0.00/0.22	       | 'const/realax/real_le'(X0, 'const/sets/inf'(sk_A))
0.00/0.22	       | 'const/realax/real_le'(sk_A0, sk_A11(X0, sk_A))),
0.00/0.22	    inference('demod', [status(thm)], ['5', '19'])).
0.00/0.22	tff('21', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(sk_A0, sk_A11(X0, sk_A))
0.00/0.22	       | 'const/realax/real_le'(X0, 'const/sets/inf'(sk_A))),
0.00/0.22	    inference('simplify', [status(thm)], ['20'])).
0.00/0.22	tff('22', plain,
0.00/0.22	    ![X9 : 'type/realax/real' > $o, X10 : 'type/realax/real', 
0.00/0.22	      X11 : 'type/realax/real']:
0.00/0.22	      (zip_tseitin1(X10, X11, X9) | ~ 'const/realax/real_le'(X11, X10)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('23', plain,
0.00/0.22	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ 'const/realax/real_le'(X1, sk_A11(X1, X0))
0.00/0.22	       | ~ zip_tseitin2(X0)
0.00/0.22	       | 'const/realax/real_le'(X1, 'const/sets/inf'(X0))),
0.00/0.22	    inference('sup-', [status(thm)], ['22', '1'])).
0.00/0.22	tff('24', plain,
0.00/0.22	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(X1, 'const/sets/inf'(X0))
0.00/0.22	       | ~ zip_tseitin2(X0)
0.00/0.22	       | ~ 'const/realax/real_le'(X1, sk_A11(X1, X0))),
0.00/0.22	    inference('simplify', [status(thm)], ['23'])).
0.00/0.22	tff('25', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | 'const/realax/real_le'(sk_A0, 'const/sets/inf'(sk_A))
0.00/0.22	     | ~ zip_tseitin2(sk_A)
0.00/0.22	     | 'const/realax/real_le'(sk_A0, 'const/sets/inf'(sk_A))),
0.00/0.22	    inference('sup-', [status(thm)], ['21', '24'])).
0.00/0.22	tff('26', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | 'const/realax/real_le'(sk_A0, 'const/sets/inf'(sk_A))
0.00/0.22	     | ~ $true
0.00/0.22	     | 'const/realax/real_le'(sk_A0, 'const/sets/inf'(sk_A))),
0.00/0.22	    inference('demod', [status(thm)], ['25', '19'])).
0.00/0.22	tff('27', plain, 'const/realax/real_le'(sk_A0, 'const/sets/inf'(sk_A)),
0.00/0.22	    inference('simplify', [status(thm)], ['26'])).
0.00/0.22	tff('thm/sets/MEMBER_NOT_EMPTY_', axiom,
0.00/0.22	  (![A:$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('28', plain,
0.00/0.22	    ![X3 : $tType, X6 : X3 > $o]:
0.00/0.22	      ('const/sets/IN'(X3, sk_A1(X3, X6), X6) | X6 = 'const/sets/EMPTY'(X3)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/sets/MEMBER_NOT_EMPTY_])).
0.00/0.22	tff('29', plain,
0.00/0.22	    ![X16 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(X16, sk_A13)
0.00/0.22	       | ~ 'const/sets/IN'('type/realax/real', X16, sk_A)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.22	tff('30', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | 'const/realax/real_le'(sk_A1('type/realax/real', sk_A), sk_A13)),
0.00/0.22	    inference('sup-', [status(thm)], ['28', '29'])).
0.00/0.22	tff('31', plain,
0.00/0.22	    ('const/realax/real_le'(sk_A1('type/realax/real', sk_A), sk_A13)
0.00/0.22	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.22	    inference('simplify', [status(thm)], ['30'])).
0.00/0.22	tff('32', plain,
0.00/0.22	    'const/realax/real_le'(sk_A1('type/realax/real', sk_A), sk_A13),
0.00/0.22	    inference('simplify_reflect-', [status(thm)], ['31', '12'])).
0.00/0.22	tff('33', plain,
0.00/0.22	    ![X9 : 'type/realax/real' > $o, X13 : 'type/realax/real']:
0.00/0.22	      (~ 'const/sets/IN'('type/realax/real', X13, X9)
0.00/0.22	       | 'const/realax/real_le'('const/sets/inf'(X9), X13)
0.00/0.22	       | ~ zip_tseitin2(X9)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.22	tff('34', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | 'const/realax/real_le'('const/sets/inf'(sk_A), X0)
0.00/0.22	       | ~ 'const/sets/IN'('type/realax/real', X0, sk_A)),
0.00/0.22	    inference('sup-', [status(thm)], ['19', '33'])).
0.00/0.22	tff('35', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ 'const/sets/IN'('type/realax/real', X0, sk_A)
0.00/0.22	       | 'const/realax/real_le'('const/sets/inf'(sk_A), X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['34'])).
0.00/0.22	tff('36', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | 'const/realax/real_le'('const/sets/inf'(sk_A), 
0.00/0.22	         sk_A1('type/realax/real', sk_A))),
0.00/0.22	    inference('sup-', [status(thm)], ['28', '35'])).
0.00/0.22	tff('37', plain,
0.00/0.22	    ('const/realax/real_le'('const/sets/inf'(sk_A), 
0.00/0.22	       sk_A1('type/realax/real', sk_A))
0.00/0.22	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.22	    inference('simplify', [status(thm)], ['36'])).
0.00/0.22	tff('38', plain,
0.00/0.22	    'const/realax/real_le'('const/sets/inf'(sk_A), 
0.00/0.22	      sk_A1('type/realax/real', sk_A)),
0.00/0.22	    inference('simplify_reflect-', [status(thm)], ['37', '12'])).
0.00/0.22	tff('thm/realax/REAL_LE_TRANS_', axiom,
0.00/0.22	  (![A:'type/realax/real',A0:'type/realax/real',A1:'type/realax/real']:
0.00/0.22	     (('const/realax/real_le'(A0,A1) & 'const/realax/real_le'(A,A0)) =>
0.00/0.22	      'const/realax/real_le'(A,A1)))).
0.00/0.22	tff('39', plain,
0.00/0.22	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.22	      X2 : 'type/realax/real']:
0.00/0.22	      (~ 'const/realax/real_le'(X0, X1)
0.00/0.22	       | ~ 'const/realax/real_le'(X1, X2)
0.00/0.22	       | 'const/realax/real_le'(X0, X2)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/realax/REAL_LE_TRANS_])).
0.00/0.22	tff('40', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | 'const/realax/real_le'('const/sets/inf'(sk_A), X0)
0.00/0.22	       | ~ 'const/realax/real_le'(sk_A1('type/realax/real', sk_A), X0)),
0.00/0.22	    inference('sup-', [status(thm)], ['38', '39'])).
0.00/0.22	tff('41', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ 'const/realax/real_le'(sk_A1('type/realax/real', sk_A), X0)
0.00/0.22	       | 'const/realax/real_le'('const/sets/inf'(sk_A), X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['40'])).
0.00/0.22	tff('42', plain,
0.00/0.22	    (~ $true | 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A13)),
0.00/0.22	    inference('sup-', [status(thm)], ['32', '41'])).
0.00/0.22	tff('43', plain, 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A13),
0.00/0.22	    inference('simplify', [status(thm)], ['42'])).
0.00/0.22	tff('44', plain,
0.00/0.22	    (~ 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A13)
0.00/0.22	     | ~ 'const/realax/real_le'(sk_A0, 'const/sets/inf'(sk_A))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.22	tff('45', plain,
0.00/0.22	    (~ $true | ~ 'const/realax/real_le'(sk_A0, 'const/sets/inf'(sk_A))),
0.00/0.22	    inference('sup-', [status(thm)], ['43', '44'])).
0.00/0.22	tff('46', plain, ~ 'const/realax/real_le'(sk_A0, 'const/sets/inf'(sk_A)),
0.00/0.22	    inference('simplify', [status(thm)], ['45'])).
0.00/0.22	tff('47', plain, ~ $true, inference('sup-', [status(thm)], ['27', '46'])).
0.00/0.22	tff('48', plain, $false, inference('simplify', [status(thm)], ['47'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
