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_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
0.00/0.20	% Computer   : n082.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 18:38:09 CST 2018
0.54/0.72	% done 271 iterations in 0.518s
0.54/0.72	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.54/0.72	% SZS output start Refutation
0.54/0.72	tff('thm/sets/INF_FINITE_', conjecture,
0.54/0.72	  (![A:('type/realax/real' > $o)]:
0.54/0.72	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.54/0.72	       'const/sets/FINITE'('type/realax/real',A)) =>
0.54/0.72	      ((![A0:'type/realax/real']:
0.54/0.72	          ('const/sets/IN'('type/realax/real',A0,A) =>
0.54/0.72	           'const/realax/real_le'('const/sets/inf'(A),A0))) & 
0.54/0.72	       'const/sets/IN'('type/realax/real','const/sets/inf'(A),A))))).
0.54/0.72	tff(zf_stmt_0, negated_conjecture,
0.54/0.72	  (~
0.54/0.72	    (![A:('type/realax/real' > $o)]:
0.54/0.72	       (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.54/0.72	         'const/sets/FINITE'('type/realax/real',A)) =>
0.54/0.72	        ((![A0:'type/realax/real']:
0.54/0.72	            ('const/sets/IN'('type/realax/real',A0,A) =>
0.54/0.72	             'const/realax/real_le'('const/sets/inf'(A),A0))) & 
0.54/0.72	         'const/sets/IN'('type/realax/real','const/sets/inf'(A),A)))))).
0.54/0.72	tff('0', plain, sk_A != 'const/sets/EMPTY'('type/realax/real'),
0.54/0.72	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.54/0.72	tff('1', plain, sk_A('#k1') != 'const/sets/EMPTY'('type/realax/real', '#k1'),
0.54/0.72	    inference('rw_lit', [status(thm)], ['0'])).
0.54/0.72	tff('2', plain, 'const/sets/FINITE'('type/realax/real', sk_A),
0.54/0.72	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.54/0.72	tff('thm/sets/INF_', axiom,
0.54/0.72	  (![A:('type/realax/real' > $o)]:
0.54/0.72	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.54/0.72	       (?[A0:'type/realax/real']:
0.54/0.72	          (![A1:'type/realax/real']:
0.54/0.72	             ('const/sets/IN'('type/realax/real',A1,A) =>
0.54/0.72	              'const/realax/real_le'(A0,A1))))) =>
0.54/0.72	      ((![A0:'type/realax/real']:
0.54/0.72	          ('const/sets/IN'('type/realax/real',A0,A) =>
0.54/0.72	           'const/realax/real_le'('const/sets/inf'(A),A0))) & 
0.54/0.72	       (![A0:'type/realax/real']:
0.54/0.72	          ((![A1:'type/realax/real']:
0.54/0.72	              ('const/sets/IN'('type/realax/real',A1,A) =>
0.54/0.72	               'const/realax/real_le'(A0,A1))) =>
0.54/0.72	           'const/realax/real_le'(A0,'const/sets/inf'(A)))))))).
0.54/0.72	tff(zf_stmt_1, axiom,
0.54/0.72	  (('const/sets/IN'('type/realax/real',A1,A) => 'const/realax/real_le'(A0,A1)) =>
0.54/0.72	   zip_tseitin1(A1,A0,A))).
0.54/0.72	tff('3', plain,
0.54/0.72	    ![X2 : 'type/realax/real' > $o, X3 : 'type/realax/real', 
0.54/0.72	      X4 : 'type/realax/real']:
0.54/0.72	      (zip_tseitin1(X3, X4, X2) | 'const/sets/IN'('type/realax/real', X3, X2)),
0.54/0.72	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.54/0.72	tff(zf_stmt_2, axiom,
0.54/0.72	  (zip_tseitin2(A) =>
0.54/0.72	   ((![A0:'type/realax/real']:
0.54/0.72	       ((![A1:'type/realax/real']: zip_tseitin1(A1,A0,A)) =>
0.54/0.72	        'const/realax/real_le'(A0,'const/sets/inf'(A)))) & 
0.54/0.72	    (![A0:'type/realax/real']:
0.54/0.72	       ('const/sets/IN'('type/realax/real',A0,A) =>
0.54/0.72	        'const/realax/real_le'('const/sets/inf'(A),A0)))))).
0.54/0.72	tff('4', plain,
0.54/0.72	    ![X2 : 'type/realax/real' > $o, X5 : 'type/realax/real']:
0.54/0.72	      (~ zip_tseitin1(sk_A1(X5, X2), X5, X2)
0.54/0.72	       | 'const/realax/real_le'(X5, 'const/sets/inf'(X2))
0.54/0.72	       | ~ zip_tseitin2(X2)),
0.54/0.72	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.54/0.72	tff('5', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.54/0.72	      (~ $true
0.54/0.72	       | 'const/sets/IN'('type/realax/real', sk_A1(X1, X0), X0)
0.54/0.72	       | ~ zip_tseitin2(X0)
0.54/0.72	       | 'const/realax/real_le'(X1, 'const/sets/inf'(X0))),
0.54/0.72	    inference('sup-', [status(thm)], ['3', '4'])).
0.54/0.72	tff('6', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.54/0.72	      ('const/realax/real_le'(X1, 'const/sets/inf'(X0))
0.54/0.72	       | ~ zip_tseitin2(X0)
0.54/0.72	       | 'const/sets/IN'('type/realax/real', sk_A1(X1, X0), X0)),
0.54/0.72	    inference('simplify', [status(thm)], ['5'])).
0.54/0.72	tff('thm/sets/INF_FINITE_LEMMA_', axiom,
0.54/0.72	  (![A:('type/realax/real' > $o)]:
0.54/0.72	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.54/0.72	       'const/sets/FINITE'('type/realax/real',A)) =>
0.54/0.72	      (?[A0:'type/realax/real']:
0.54/0.72	         ((![A1:'type/realax/real']:
0.54/0.72	             ('const/sets/IN'('type/realax/real',A1,A) =>
0.54/0.72	              'const/realax/real_le'(A0,A1))) & 
0.54/0.72	          'const/sets/IN'('type/realax/real',A0,A)))))).
0.54/0.72	tff('7', plain,
0.54/0.72	    ![X14 : 'type/realax/real', X15 : 'type/realax/real' > $o]:
0.54/0.72	      (~ 'const/sets/IN'('type/realax/real', X14, X15)
0.54/0.72	       | 'const/realax/real_le'(sk_A0(X15), X14)
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X15)
0.54/0.72	       | X15 = 'const/sets/EMPTY'('type/realax/real')),
0.54/0.72	    inference('cnf', [status(esa)], [thm/sets/INF_FINITE_LEMMA_])).
0.54/0.72	tff('8', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.54/0.72	      (~ $true
0.54/0.72	       | ~ zip_tseitin2(X0)
0.54/0.72	       | 'const/realax/real_le'(X1, 'const/sets/inf'(X0))
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | 'const/realax/real_le'(sk_A0(X0), sk_A1(X1, X0))),
0.54/0.72	    inference('sup-', [status(thm)], ['6', '7'])).
0.54/0.72	tff('9', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.54/0.72	      ('const/realax/real_le'(sk_A0(X0), sk_A1(X1, X0))
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | 'const/realax/real_le'(X1, 'const/sets/inf'(X0))
0.54/0.72	       | ~ zip_tseitin2(X0)),
0.54/0.72	    inference('simplify', [status(thm)], ['8'])).
0.54/0.72	tff(zf_stmt_3, axiom,
0.54/0.72	  (('const/sets/IN'('type/realax/real',A1,A) => 'const/realax/real_le'(A0,A1)) =>
0.54/0.72	   zip_tseitin0(A1,A0,A))).
0.54/0.72	tff('10', plain,
0.54/0.72	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.54/0.72	      X2 : 'type/realax/real' > $o]:
0.54/0.72	      (zip_tseitin0(X0, X1, X2) | 'const/sets/IN'('type/realax/real', X0, X2)),
0.54/0.72	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.54/0.72	tff(zf_stmt_4, type, zip_tseitin2 : 'type/realax/real' > $o > $o).
0.54/0.72	tff(zf_stmt_5, type, zip_tseitin1 :
0.54/0.72	    ('type/realax/real' * 'type/realax/real' * 'type/realax/real' > $o) > $o).
0.54/0.72	tff(zf_stmt_6, type, zip_tseitin0 :
0.54/0.72	    ('type/realax/real' * 'type/realax/real' * 'type/realax/real' > $o) > $o).
0.54/0.72	tff(zf_stmt_7, axiom,
0.54/0.72	  (![A:('type/realax/real' > $o)]:
0.54/0.72	     (((?[A0:'type/realax/real']:
0.54/0.72	          (![A1:'type/realax/real']: zip_tseitin0(A1,A0,A))) & 
0.54/0.72	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.54/0.72	      zip_tseitin2(A)))).
0.54/0.72	tff('11', plain,
0.54/0.72	    ![X7 : 'type/realax/real' > $o, X8 : 'type/realax/real']:
0.54/0.72	      (zip_tseitin2(X7)
0.54/0.72	       | X7 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | ~ zip_tseitin0(sk_A11(X8, X7), X8, X7)),
0.54/0.72	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.54/0.72	tff('12', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.54/0.72	      (~ $true
0.54/0.72	       | 'const/sets/IN'('type/realax/real', sk_A11(X1, X0), X0)
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | zip_tseitin2(X0)),
0.54/0.72	    inference('sup-', [status(thm)], ['10', '11'])).
0.54/0.72	tff('13', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.54/0.72	      (zip_tseitin2(X0)
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | 'const/sets/IN'('type/realax/real', sk_A11(X1, X0), X0)),
0.54/0.72	    inference('simplify', [status(thm)], ['12'])).
0.54/0.72	tff('14', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.54/0.72	      (~ $true
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | zip_tseitin2(X0)
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | 'const/realax/real_le'(sk_A0(X0), sk_A11(X1, X0))),
0.54/0.72	    inference('sup-', [status(thm)], ['13', '7'])).
0.54/0.72	tff('15', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.54/0.72	      ('const/realax/real_le'(sk_A0(X0), sk_A11(X1, X0))
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | zip_tseitin2(X0)
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')),
0.54/0.72	    inference('simplify', [status(thm)], ['14'])).
0.54/0.72	tff('16', plain,
0.54/0.72	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.54/0.72	      X2 : 'type/realax/real' > $o]:
0.54/0.72	      (zip_tseitin0(X0, X1, X2) | ~ 'const/realax/real_le'(X1, X0)),
0.54/0.72	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.54/0.72	tff('17', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.54/0.72	      (~ $true
0.54/0.72	       | ~ 'const/realax/real_le'(X1, sk_A11(X1, X0))
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | zip_tseitin2(X0)),
0.54/0.72	    inference('sup-', [status(thm)], ['16', '11'])).
0.54/0.72	tff('18', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.54/0.72	      (zip_tseitin2(X0)
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | ~ 'const/realax/real_le'(X1, sk_A11(X1, X0))),
0.54/0.72	    inference('simplify', [status(thm)], ['17'])).
0.54/0.72	tff('19', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o]:
0.54/0.72	      (~ $true
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | zip_tseitin2(X0)
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | zip_tseitin2(X0)),
0.54/0.72	    inference('sup-', [status(thm)], ['15', '18'])).
0.54/0.72	tff('20', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o]:
0.54/0.72	      (~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | zip_tseitin2(X0)
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')),
0.54/0.72	    inference('simplify', [status(thm)], ['19'])).
0.54/0.72	tff('21', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.54/0.72	      ('const/realax/real_le'(X1, 'const/sets/inf'(X0))
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | 'const/realax/real_le'(sk_A0(X0), sk_A1(X1, X0))),
0.54/0.72	    inference('clc', [status(thm)], ['9', '20'])).
0.54/0.72	tff('22', plain,
0.54/0.72	    ![X2 : 'type/realax/real' > $o, X3 : 'type/realax/real', 
0.54/0.72	      X4 : 'type/realax/real']:
0.54/0.72	      (zip_tseitin1(X3, X4, X2) | ~ 'const/realax/real_le'(X4, X3)),
0.54/0.72	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.54/0.72	tff('23', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.54/0.72	      (~ $true
0.54/0.72	       | ~ 'const/realax/real_le'(X1, sk_A1(X1, X0))
0.54/0.72	       | ~ zip_tseitin2(X0)
0.54/0.72	       | 'const/realax/real_le'(X1, 'const/sets/inf'(X0))),
0.54/0.72	    inference('sup-', [status(thm)], ['22', '4'])).
0.54/0.72	tff('24', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.54/0.72	      ('const/realax/real_le'(X1, 'const/sets/inf'(X0))
0.54/0.72	       | ~ zip_tseitin2(X0)
0.54/0.72	       | ~ 'const/realax/real_le'(X1, sk_A1(X1, X0))),
0.54/0.72	    inference('simplify', [status(thm)], ['23'])).
0.54/0.72	tff('25', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o]:
0.54/0.72	      (~ $true
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | 'const/realax/real_le'(sk_A0(X0), 'const/sets/inf'(X0))
0.54/0.72	       | ~ zip_tseitin2(X0)
0.54/0.72	       | 'const/realax/real_le'(sk_A0(X0), 'const/sets/inf'(X0))),
0.54/0.72	    inference('sup-', [status(thm)], ['21', '24'])).
0.54/0.72	tff('26', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o]:
0.54/0.72	      (~ zip_tseitin2(X0)
0.54/0.72	       | 'const/realax/real_le'(sk_A0(X0), 'const/sets/inf'(X0))
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)),
0.54/0.72	    inference('simplify', [status(thm)], ['25'])).
0.54/0.72	tff('27', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o]:
0.54/0.72	      (~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | 'const/realax/real_le'(sk_A0(X0), 'const/sets/inf'(X0))),
0.54/0.72	    inference('clc', [status(thm)], ['26', '20'])).
0.54/0.72	tff('28', plain,
0.54/0.72	    ![X15 : 'type/realax/real' > $o]:
0.54/0.72	      ('const/sets/IN'('type/realax/real', sk_A0(X15), X15)
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X15)
0.54/0.72	       | X15 = 'const/sets/EMPTY'('type/realax/real')),
0.54/0.72	    inference('cnf', [status(esa)], [thm/sets/INF_FINITE_LEMMA_])).
0.54/0.72	tff('29', plain,
0.54/0.72	    ![X2 : 'type/realax/real' > $o, X6 : 'type/realax/real']:
0.54/0.72	      (~ 'const/sets/IN'('type/realax/real', X6, X2)
0.54/0.72	       | 'const/realax/real_le'('const/sets/inf'(X2), X6)
0.54/0.72	       | ~ zip_tseitin2(X2)),
0.54/0.72	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.54/0.72	tff('30', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o]:
0.54/0.72	      (~ $true
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | ~ zip_tseitin2(X0)
0.54/0.72	       | 'const/realax/real_le'('const/sets/inf'(X0), sk_A0(X0))),
0.54/0.72	    inference('sup-', [status(thm)], ['28', '29'])).
0.54/0.72	tff('31', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o]:
0.54/0.72	      ('const/realax/real_le'('const/sets/inf'(X0), sk_A0(X0))
0.54/0.72	       | ~ zip_tseitin2(X0)
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')),
0.54/0.72	    inference('simplify', [status(thm)], ['30'])).
0.54/0.72	tff('thm/realax/REAL_LE_ANTISYM_', axiom,
0.54/0.72	  (![A:'type/realax/real',A0:'type/realax/real']:
0.54/0.72	     (('const/realax/real_le'(A0,A) & 'const/realax/real_le'(A,A0)) <=>
0.54/0.72	      (A = A0)))).
0.54/0.72	tff('32', plain,
0.54/0.72	    ![X11 : 'type/realax/real', X12 : 'type/realax/real']:
0.54/0.72	      (X12 = X11
0.54/0.72	       | ~ 'const/realax/real_le'(X12, X11)
0.54/0.72	       | ~ 'const/realax/real_le'(X11, X12)),
0.54/0.72	    inference('cnf', [status(esa)], [thm/realax/REAL_LE_ANTISYM_])).
0.54/0.72	tff('33', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o]:
0.54/0.72	      (~ $true
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | ~ zip_tseitin2(X0)
0.54/0.72	       | ~ 'const/realax/real_le'(sk_A0(X0), 'const/sets/inf'(X0))
0.54/0.72	       | 'const/sets/inf'(X0) = sk_A0(X0)),
0.54/0.72	    inference('sup-', [status(thm)], ['31', '32'])).
0.54/0.72	tff('34', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o]:
0.54/0.72	      ('const/sets/inf'(X0) = sk_A0(X0)
0.54/0.72	       | ~ 'const/realax/real_le'(sk_A0(X0), 'const/sets/inf'(X0))
0.54/0.72	       | ~ zip_tseitin2(X0)
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')),
0.54/0.72	    inference('simplify', [status(thm)], ['33'])).
0.54/0.72	tff('35', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o]:
0.54/0.72	      (X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | ~ 'const/realax/real_le'(sk_A0(X0), 'const/sets/inf'(X0))
0.54/0.72	       | 'const/sets/inf'(X0) = sk_A0(X0)),
0.54/0.72	    inference('clc', [status(thm)], ['34', '20'])).
0.54/0.72	tff('36', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o]:
0.54/0.72	      (~ $true
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | 'const/sets/inf'(X0) = sk_A0(X0)
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')),
0.54/0.72	    inference('sup-', [status(thm)], ['27', '35'])).
0.54/0.72	tff('37', plain,
0.54/0.72	    ![X0 : 'type/realax/real' > $o]:
0.54/0.72	      ('const/sets/inf'(X0) = sk_A0(X0)
0.54/0.72	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.54/0.72	       | X0 = 'const/sets/EMPTY'('type/realax/real')),
0.54/0.72	    inference('simplify', [status(thm)], ['36'])).
0.54/0.72	tff('38', plain,
0.54/0.72	    (~ $true
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	     | 'const/sets/inf'(sk_A) = sk_A0(sk_A)),
0.54/0.72	    inference('sup-', [status(thm)], ['2', '37'])).
0.54/0.72	tff('39', plain,
0.54/0.72	    ('const/sets/inf'(sk_A) = sk_A0(sk_A)
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.54/0.72	    inference('simplify', [status(thm)], ['38'])).
0.54/0.72	tff('40', plain,
0.54/0.72	    ('const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	     | ~ 'const/sets/FINITE'('type/realax/real', sk_A)),
0.54/0.72	    inference('sup+', [status(thm)], ['39', '28'])).
0.54/0.72	tff('41', plain,
0.54/0.72	    ('const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	     | ~ $true),
0.54/0.72	    inference('demod', [status(thm)], ['40', '2'])).
0.54/0.72	tff('42', plain,
0.54/0.72	    (sk_A = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	     | 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)),
0.54/0.72	    inference('simplify', [status(thm)], ['41'])).
0.54/0.72	tff('43', plain,
0.54/0.72	    ('const/sets/IN'('type/realax/real', sk_A01, sk_A)
0.54/0.72	     | ~ 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)),
0.54/0.72	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.54/0.72	tff('44', plain,
0.54/0.72	    (~ $true
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	     | 'const/sets/IN'('type/realax/real', sk_A01, sk_A)),
0.54/0.72	    inference('sup-', [status(thm)], ['42', '43'])).
0.54/0.72	tff('45', plain,
0.54/0.72	    ('const/sets/IN'('type/realax/real', sk_A01, sk_A)
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.54/0.72	    inference('simplify', [status(thm)], ['44'])).
0.54/0.72	tff('46', plain,
0.54/0.72	    (~ $true
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	     | ~ 'const/sets/FINITE'('type/realax/real', sk_A)
0.54/0.72	     | 'const/realax/real_le'(sk_A0(sk_A), sk_A01)),
0.54/0.72	    inference('sup-', [status(thm)], ['45', '7'])).
0.54/0.72	tff('47', plain,
0.54/0.72	    (~ $true
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	     | ~ $true
0.54/0.72	     | 'const/realax/real_le'(sk_A0(sk_A), sk_A01)),
0.54/0.72	    inference('demod', [status(thm)], ['46', '2'])).
0.54/0.72	tff('48', plain,
0.54/0.72	    ('const/realax/real_le'(sk_A0(sk_A), sk_A01)
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.54/0.72	    inference('simplify', [status(thm)], ['47'])).
0.54/0.72	tff('49', plain,
0.54/0.72	    ('const/realax/real_le'('const/sets/inf'(sk_A), sk_A01)
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.54/0.72	    inference('sup+', [status(thm)], ['39', '48'])).
0.54/0.72	tff('50', plain,
0.54/0.72	    (sk_A = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	     | 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A01)),
0.54/0.72	    inference('simplify', [status(thm)], ['49'])).
0.54/0.72	tff('51', plain,
0.54/0.72	    (~ 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A01)
0.54/0.72	     | ~ 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)),
0.54/0.72	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.54/0.72	tff('52', plain,
0.54/0.72	    (~ $true
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.54/0.72	     | ~ 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A01)),
0.54/0.72	    inference('sup-', [status(thm)], ['42', '51'])).
0.54/0.72	tff('53', plain,
0.54/0.72	    (~ 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A01)
0.54/0.72	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.54/0.72	    inference('simplify', [status(thm)], ['52'])).
0.54/0.72	tff('54', plain, sk_A = 'const/sets/EMPTY'('type/realax/real'),
0.54/0.72	    inference('clc', [status(thm)], ['50', '53'])).
0.54/0.72	tff('55', plain,
0.54/0.72	    ![X1 : 'type/realax/real']:
0.54/0.72	      sk_A(X1) = 'const/sets/EMPTY'('type/realax/real', X1),
0.54/0.72	    inference('ho_complete_eq', [status(thm)], ['54'])).
0.54/0.72	tff('56', plain, sk_A('#k1') != sk_A('#k1'),
0.54/0.72	    inference('demod', [status(thm)], ['1', '55'])).
0.54/0.72	tff('57', plain, $false, inference('simplify', [status(thm)], ['56'])).
0.54/0.72	
0.54/0.72	% SZS output end Refutation
0.54/0.72	EOF
