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_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   : n145.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 18:38:09 CST 2018
0.00/0.24	% done 91 iterations in 0.043s
0.00/0.24	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.24	% SZS output start Refutation
0.00/0.24	tff('thm/sets/INF_', axiom,
0.00/0.24	  (![A:('type/realax/real' > $o)]:
0.00/0.24	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.24	       (?[A0:'type/realax/real']:
0.00/0.24	          (![A1:'type/realax/real']:
0.00/0.24	             ('const/sets/IN'('type/realax/real',A1,A) =>
0.00/0.24	              'const/realax/real_le'(A0,A1))))) =>
0.00/0.24	      ((![A0:'type/realax/real']:
0.00/0.24	          ('const/sets/IN'('type/realax/real',A0,A) =>
0.00/0.24	           'const/realax/real_le'('const/sets/inf'(A),A0))) & 
0.00/0.24	       (![A0:'type/realax/real']:
0.00/0.24	          ((![A1:'type/realax/real']:
0.00/0.24	              ('const/sets/IN'('type/realax/real',A1,A) =>
0.00/0.24	               'const/realax/real_le'(A0,A1))) =>
0.00/0.24	           'const/realax/real_le'(A0,'const/sets/inf'(A)))))))).
0.00/0.24	tff(zf_stmt_0, axiom,
0.00/0.24	  (('const/sets/IN'('type/realax/real',A1,A) => 'const/realax/real_le'(A0,A1)) =>
0.00/0.24	   zip_tseitin1(A1,A0,A))).
0.00/0.24	tff('0', plain,
0.00/0.24	    ![X2 : 'type/realax/real' > $o, X3 : 'type/realax/real', 
0.00/0.24	      X4 : 'type/realax/real']:
0.00/0.24	      (zip_tseitin1(X3, X4, X2) | 'const/sets/IN'('type/realax/real', X3, X2)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff(zf_stmt_1, axiom,
0.00/0.24	  (zip_tseitin2(A) =>
0.00/0.24	   ((![A0:'type/realax/real']:
0.00/0.24	       ((![A1:'type/realax/real']: zip_tseitin1(A1,A0,A)) =>
0.00/0.24	        'const/realax/real_le'(A0,'const/sets/inf'(A)))) & 
0.00/0.24	    (![A0:'type/realax/real']:
0.00/0.24	       ('const/sets/IN'('type/realax/real',A0,A) =>
0.00/0.24	        'const/realax/real_le'('const/sets/inf'(A),A0)))))).
0.00/0.24	tff('1', plain,
0.00/0.24	    ![X2 : 'type/realax/real' > $o, X5 : 'type/realax/real']:
0.00/0.24	      (~ zip_tseitin1(sk_A1(X5, X2), X5, X2)
0.00/0.24	       | 'const/realax/real_le'(X5, 'const/sets/inf'(X2))
0.00/0.24	       | ~ zip_tseitin2(X2)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.24	tff('2', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | 'const/sets/IN'('type/realax/real', sk_A1(X1, X0), X0)
0.00/0.24	       | ~ zip_tseitin2(X0)
0.00/0.24	       | 'const/realax/real_le'(X1, 'const/sets/inf'(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.24	tff('3', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      ('const/realax/real_le'(X1, 'const/sets/inf'(X0))
0.00/0.24	       | ~ zip_tseitin2(X0)
0.00/0.24	       | 'const/sets/IN'('type/realax/real', sk_A1(X1, X0), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['2'])).
0.00/0.24	tff('thm/sets/INF_FINITE_LEMMA_', axiom,
0.00/0.24	  (![A:('type/realax/real' > $o)]:
0.00/0.24	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.24	       'const/sets/FINITE'('type/realax/real',A)) =>
0.00/0.24	      (?[A0:'type/realax/real']:
0.00/0.24	         ((![A1:'type/realax/real']:
0.00/0.24	             ('const/sets/IN'('type/realax/real',A1,A) =>
0.00/0.24	              'const/realax/real_le'(A0,A1))) & 
0.00/0.24	          'const/sets/IN'('type/realax/real',A0,A)))))).
0.00/0.24	tff('4', plain,
0.00/0.24	    ![X14 : 'type/realax/real', X15 : 'type/realax/real' > $o]:
0.00/0.24	      (~ 'const/sets/IN'('type/realax/real', X14, X15)
0.00/0.24	       | 'const/realax/real_le'(sk_A0(X15), X14)
0.00/0.24	       | ~ 'const/sets/FINITE'('type/realax/real', X15)
0.00/0.24	       | X15 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.24	    inference('cnf', [status(esa)], [thm/sets/INF_FINITE_LEMMA_])).
0.00/0.24	tff('5', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ zip_tseitin2(X0)
0.00/0.24	       | 'const/realax/real_le'(X1, 'const/sets/inf'(X0))
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.00/0.24	       | 'const/realax/real_le'(sk_A0(X0), sk_A1(X1, X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.24	tff('6', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      ('const/realax/real_le'(sk_A0(X0), sk_A1(X1, X0))
0.00/0.24	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | 'const/realax/real_le'(X1, 'const/sets/inf'(X0))
0.00/0.24	       | ~ zip_tseitin2(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['5'])).
0.00/0.24	tff(zf_stmt_2, axiom,
0.00/0.24	  (('const/sets/IN'('type/realax/real',A1,A) => 'const/realax/real_le'(A0,A1)) =>
0.00/0.24	   zip_tseitin0(A1,A0,A))).
0.00/0.24	tff('7', plain,
0.00/0.24	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.24	      X2 : 'type/realax/real' > $o]:
0.00/0.24	      (zip_tseitin0(X0, X1, X2) | 'const/sets/IN'('type/realax/real', X0, X2)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.24	tff(zf_stmt_3, type, zip_tseitin2 : 'type/realax/real' > $o > $o).
0.00/0.24	tff(zf_stmt_4, type, zip_tseitin1 :
0.00/0.24	    ('type/realax/real' * 'type/realax/real' * 'type/realax/real' > $o) > $o).
0.00/0.24	tff(zf_stmt_5, type, zip_tseitin0 :
0.00/0.24	    ('type/realax/real' * 'type/realax/real' * 'type/realax/real' > $o) > $o).
0.00/0.24	tff(zf_stmt_6, axiom,
0.00/0.24	  (![A:('type/realax/real' > $o)]:
0.00/0.24	     (((?[A0:'type/realax/real']:
0.00/0.24	          (![A1:'type/realax/real']: zip_tseitin0(A1,A0,A))) & 
0.00/0.24	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.24	      zip_tseitin2(A)))).
0.00/0.24	tff('8', plain,
0.00/0.24	    ![X7 : 'type/realax/real' > $o, X8 : 'type/realax/real']:
0.00/0.24	      (zip_tseitin2(X7)
0.00/0.24	       | X7 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | ~ zip_tseitin0(sk_A11(X8, X7), X8, X7)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.24	tff('9', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | 'const/sets/IN'('type/realax/real', sk_A11(X1, X0), X0)
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | zip_tseitin2(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['7', '8'])).
0.00/0.24	tff('10', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      (zip_tseitin2(X0)
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | 'const/sets/IN'('type/realax/real', sk_A11(X1, X0), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['9'])).
0.00/0.24	tff('11', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | zip_tseitin2(X0)
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.00/0.24	       | 'const/realax/real_le'(sk_A0(X0), sk_A11(X1, X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['10', '4'])).
0.00/0.24	tff('12', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      ('const/realax/real_le'(sk_A0(X0), sk_A11(X1, X0))
0.00/0.24	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.00/0.24	       | zip_tseitin2(X0)
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.24	    inference('simplify', [status(thm)], ['11'])).
0.00/0.24	tff('13', plain,
0.00/0.24	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.24	      X2 : 'type/realax/real' > $o]:
0.00/0.24	      (zip_tseitin0(X0, X1, X2) | ~ 'const/realax/real_le'(X1, X0)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.24	tff('14', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ 'const/realax/real_le'(X1, sk_A11(X1, X0))
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | zip_tseitin2(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['13', '8'])).
0.00/0.24	tff('15', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      (zip_tseitin2(X0)
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | ~ 'const/realax/real_le'(X1, sk_A11(X1, X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['14'])).
0.00/0.24	tff('16', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o]:
0.00/0.24	      (~ $true
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | zip_tseitin2(X0)
0.00/0.24	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | zip_tseitin2(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['12', '15'])).
0.00/0.24	tff('17', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o]:
0.00/0.24	      (~ 'const/sets/FINITE'('type/realax/real', X0)
0.00/0.24	       | zip_tseitin2(X0)
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.24	    inference('simplify', [status(thm)], ['16'])).
0.00/0.24	tff('18', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      ('const/realax/real_le'(X1, 'const/sets/inf'(X0))
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.00/0.24	       | 'const/realax/real_le'(sk_A0(X0), sk_A1(X1, X0))),
0.00/0.24	    inference('clc', [status(thm)], ['6', '17'])).
0.00/0.24	tff('19', plain,
0.00/0.24	    ![X2 : 'type/realax/real' > $o, X3 : 'type/realax/real', 
0.00/0.24	      X4 : 'type/realax/real']:
0.00/0.24	      (zip_tseitin1(X3, X4, X2) | ~ 'const/realax/real_le'(X4, X3)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('20', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ 'const/realax/real_le'(X1, sk_A1(X1, X0))
0.00/0.24	       | ~ zip_tseitin2(X0)
0.00/0.24	       | 'const/realax/real_le'(X1, 'const/sets/inf'(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['19', '1'])).
0.00/0.24	tff('21', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      ('const/realax/real_le'(X1, 'const/sets/inf'(X0))
0.00/0.24	       | ~ zip_tseitin2(X0)
0.00/0.24	       | ~ 'const/realax/real_le'(X1, sk_A1(X1, X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['20'])).
0.00/0.24	tff('22', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | 'const/realax/real_le'(sk_A0(X0), 'const/sets/inf'(X0))
0.00/0.24	       | ~ zip_tseitin2(X0)
0.00/0.24	       | 'const/realax/real_le'(sk_A0(X0), 'const/sets/inf'(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['18', '21'])).
0.00/0.24	tff('23', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o]:
0.00/0.24	      (~ zip_tseitin2(X0)
0.00/0.24	       | 'const/realax/real_le'(sk_A0(X0), 'const/sets/inf'(X0))
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | ~ 'const/sets/FINITE'('type/realax/real', X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['22'])).
0.00/0.24	tff('24', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o]:
0.00/0.24	      (~ 'const/sets/FINITE'('type/realax/real', X0)
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | 'const/realax/real_le'(sk_A0(X0), 'const/sets/inf'(X0))),
0.00/0.24	    inference('clc', [status(thm)], ['23', '17'])).
0.00/0.24	tff('25', plain,
0.00/0.24	    ![X15 : 'type/realax/real' > $o]:
0.00/0.24	      ('const/sets/IN'('type/realax/real', sk_A0(X15), X15)
0.00/0.24	       | ~ 'const/sets/FINITE'('type/realax/real', X15)
0.00/0.24	       | X15 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.24	    inference('cnf', [status(esa)], [thm/sets/INF_FINITE_LEMMA_])).
0.00/0.24	tff('thm/sets/INF_FINITE_', conjecture,
0.00/0.24	  (![A:('type/realax/real' > $o)]:
0.00/0.24	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.24	       'const/sets/FINITE'('type/realax/real',A)) =>
0.00/0.24	      ((![A0:'type/realax/real']:
0.00/0.24	          ('const/sets/IN'('type/realax/real',A0,A) =>
0.00/0.24	           'const/realax/real_le'('const/sets/inf'(A),A0))) & 
0.00/0.24	       'const/sets/IN'('type/realax/real','const/sets/inf'(A),A))))).
0.00/0.24	tff(zf_stmt_7, negated_conjecture,
0.00/0.24	  (~
0.00/0.24	    (![A:('type/realax/real' > $o)]:
0.00/0.24	       (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.24	         'const/sets/FINITE'('type/realax/real',A)) =>
0.00/0.24	        ((![A0:'type/realax/real']:
0.00/0.24	            ('const/sets/IN'('type/realax/real',A0,A) =>
0.00/0.24	             'const/realax/real_le'('const/sets/inf'(A),A0))) & 
0.00/0.24	         'const/sets/IN'('type/realax/real','const/sets/inf'(A),A)))))).
0.00/0.24	tff('26', plain, 'const/sets/FINITE'('type/realax/real', sk_A),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.24	tff('27', plain,
0.00/0.24	    ![X2 : 'type/realax/real' > $o, X6 : 'type/realax/real']:
0.00/0.24	      (~ 'const/sets/IN'('type/realax/real', X6, X2)
0.00/0.24	       | 'const/realax/real_le'('const/sets/inf'(X2), X6)
0.00/0.24	       | ~ zip_tseitin2(X2)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.24	tff('28', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.00/0.24	       | 'const/realax/real_le'('const/sets/inf'(X0), X1)
0.00/0.24	       | ~ 'const/sets/IN'('type/realax/real', X1, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['17', '27'])).
0.00/0.24	tff('29', plain,
0.00/0.24	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.00/0.24	      (~ 'const/sets/IN'('type/realax/real', X1, X0)
0.00/0.24	       | 'const/realax/real_le'('const/sets/inf'(X0), X1)
0.00/0.24	       | ~ 'const/sets/FINITE'('type/realax/real', X0)
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.24	    inference('simplify', [status(thm)], ['28'])).
0.00/0.24	tff('30', plain,
0.00/0.24	    ![X0 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | 'const/realax/real_le'('const/sets/inf'(sk_A), X0)
0.00/0.24	       | ~ 'const/sets/IN'('type/realax/real', X0, sk_A)),
0.00/0.24	    inference('sup-', [status(thm)], ['26', '29'])).
0.00/0.24	tff('31', plain,
0.00/0.24	    ![X0 : 'type/realax/real']:
0.00/0.24	      (~ 'const/sets/IN'('type/realax/real', X0, sk_A)
0.00/0.24	       | 'const/realax/real_le'('const/sets/inf'(sk_A), X0)
0.00/0.24	       | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.24	    inference('simplify', [status(thm)], ['30'])).
0.00/0.24	tff('32', plain, sk_A != 'const/sets/EMPTY'('type/realax/real'),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.24	tff('33', plain,
0.00/0.24	    ![X0 : 'type/realax/real']:
0.00/0.24	      (~ 'const/sets/IN'('type/realax/real', X0, sk_A)
0.00/0.24	       | 'const/realax/real_le'('const/sets/inf'(sk_A), X0)),
0.00/0.24	    inference('simplify_reflect-', [status(thm)], ['31', '32'])).
0.00/0.24	tff('34', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	     | ~ 'const/sets/FINITE'('type/realax/real', sk_A)
0.00/0.24	     | 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A0(sk_A))),
0.00/0.24	    inference('sup-', [status(thm)], ['25', '33'])).
0.00/0.24	tff('35', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	     | ~ $true
0.00/0.24	     | 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A0(sk_A))),
0.00/0.24	    inference('demod', [status(thm)], ['34', '26'])).
0.00/0.24	tff('36', plain,
0.00/0.24	    ('const/realax/real_le'('const/sets/inf'(sk_A), sk_A0(sk_A))
0.00/0.24	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.24	    inference('simplify', [status(thm)], ['35'])).
0.00/0.24	tff('37', plain, 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A0(sk_A)),
0.00/0.24	    inference('simplify_reflect-', [status(thm)], ['36', '32'])).
0.00/0.24	tff('thm/realax/REAL_LE_ANTISYM_', axiom,
0.00/0.24	  (![A:'type/realax/real',A0:'type/realax/real']:
0.00/0.24	     (('const/realax/real_le'(A0,A) & 'const/realax/real_le'(A,A0)) <=>
0.00/0.24	      (A = A0)))).
0.00/0.24	tff('38', plain,
0.00/0.24	    ![X11 : 'type/realax/real', X12 : 'type/realax/real']:
0.00/0.24	      (X12 = X11
0.00/0.24	       | ~ 'const/realax/real_le'(X12, X11)
0.00/0.24	       | ~ 'const/realax/real_le'(X11, X12)),
0.00/0.24	    inference('cnf', [status(esa)], [thm/realax/REAL_LE_ANTISYM_])).
0.00/0.24	tff('39', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ 'const/realax/real_le'(sk_A0(sk_A), 'const/sets/inf'(sk_A))
0.00/0.24	     | 'const/sets/inf'(sk_A) = sk_A0(sk_A)),
0.00/0.24	    inference('sup-', [status(thm)], ['37', '38'])).
0.00/0.24	tff('40', plain,
0.00/0.24	    ('const/sets/inf'(sk_A) = sk_A0(sk_A)
0.00/0.24	     | ~ 'const/realax/real_le'(sk_A0(sk_A), 'const/sets/inf'(sk_A))),
0.00/0.24	    inference('simplify', [status(thm)], ['39'])).
0.00/0.24	tff('41', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	     | ~ 'const/sets/FINITE'('type/realax/real', sk_A)
0.00/0.24	     | 'const/sets/inf'(sk_A) = sk_A0(sk_A)),
0.00/0.24	    inference('sup-', [status(thm)], ['24', '40'])).
0.00/0.24	tff('42', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	     | ~ $true
0.00/0.24	     | 'const/sets/inf'(sk_A) = sk_A0(sk_A)),
0.00/0.24	    inference('demod', [status(thm)], ['41', '26'])).
0.00/0.24	tff('43', plain,
0.00/0.24	    ('const/sets/inf'(sk_A) = sk_A0(sk_A)
0.00/0.24	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.24	    inference('simplify', [status(thm)], ['42'])).
0.00/0.24	tff('44', plain, 'const/sets/inf'(sk_A) = sk_A0(sk_A),
0.00/0.24	    inference('simplify_reflect-', [status(thm)], ['43', '32'])).
0.00/0.24	tff('45', plain,
0.00/0.24	    ('const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)
0.00/0.24	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	     | ~ 'const/sets/FINITE'('type/realax/real', sk_A)),
0.00/0.24	    inference('sup+', [status(thm)], ['44', '25'])).
0.00/0.24	tff('46', plain,
0.00/0.24	    ('const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)
0.00/0.24	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	     | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['45', '26'])).
0.00/0.24	tff('47', plain,
0.00/0.24	    (sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	     | 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)),
0.00/0.24	    inference('simplify', [status(thm)], ['46'])).
0.00/0.24	tff('48', plain,
0.00/0.24	    'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A),
0.00/0.24	    inference('simplify_reflect-', [status(thm)], ['47', '32'])).
0.00/0.24	tff('49', plain,
0.00/0.24	    ('const/sets/IN'('type/realax/real', sk_A01, sk_A)
0.00/0.24	     | ~ 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.24	tff('50', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)
0.00/0.24	     | ~ zip_tseitin2(sk_A)
0.00/0.24	     | 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A01)),
0.00/0.24	    inference('sup-', [status(thm)], ['49', '27'])).
0.00/0.24	tff('51', plain,
0.00/0.24	    ('const/realax/real_le'('const/sets/inf'(sk_A), sk_A01)
0.00/0.24	     | ~ zip_tseitin2(sk_A)
0.00/0.24	     | ~ 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)),
0.00/0.24	    inference('simplify', [status(thm)], ['50'])).
0.00/0.24	tff('52', plain,
0.00/0.24	    (~ 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A01)
0.00/0.24	     | ~ 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.24	tff('53', plain,
0.00/0.24	    (~ 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)
0.00/0.24	     | ~ zip_tseitin2(sk_A)),
0.00/0.24	    inference('clc', [status(thm)], ['51', '52'])).
0.00/0.24	tff('54', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	     | ~ 'const/sets/FINITE'('type/realax/real', sk_A)
0.00/0.24	     | ~ 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)),
0.00/0.24	    inference('sup-', [status(thm)], ['17', '53'])).
0.00/0.24	tff('55', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	     | ~ $true
0.00/0.24	     | ~ 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)),
0.00/0.24	    inference('demod', [status(thm)], ['54', '26'])).
0.00/0.24	tff('56', plain,
0.00/0.24	    (~ 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)
0.00/0.24	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.24	    inference('simplify', [status(thm)], ['55'])).
0.00/0.24	tff('57', plain,
0.00/0.24	    ~ 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A),
0.00/0.24	    inference('simplify_reflect-', [status(thm)], ['56', '32'])).
0.00/0.24	tff('58', plain, ~ $true, inference('sup-', [status(thm)], ['48', '57'])).
0.00/0.24	tff('59', plain, $false, inference('simplify', [status(thm)], ['58'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
