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    : fo
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-ho \
0.00/0.00	  --no-avatar \
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	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n029.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
0.00/0.22	% done 64 iterations in 0.024s
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/REAL_LE_SUP_FINITE_', axiom,
0.00/0.22	  (![A:('type/realax/real' > $o),A0:'type/realax/real']:
0.00/0.22	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.22	       'const/sets/FINITE'('type/realax/real',A)) =>
0.00/0.22	      ('const/realax/real_le'(A0,'const/sets/sup'(A)) <=>
0.00/0.22	       (?[A1:'type/realax/real']:
0.00/0.22	          ('const/realax/real_le'(A0,A1) & 
0.00/0.22	           'const/sets/IN'('type/realax/real',A1,A))))))).
0.00/0.22	tff('0', plain,
0.00/0.22	    ![X7 : 'type/realax/real' > $o, X8 : 'type/realax/real']:
0.00/0.22	      (~ 'const/sets/FINITE'('type/realax/real', X7)
0.00/0.22	       | X7 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | 'const/realax/real_le'(X8, sk_A1(X8, X7))
0.00/0.22	       | ~ 'const/realax/real_le'(X8, 'const/sets/sup'(X7))),
0.00/0.22	    inference('cnf', [status(esa)], [thm/sets/REAL_LE_SUP_FINITE_])).
0.00/0.22	tff('thm/realax/REAL_LE_REFL_', axiom,
0.00/0.22	  (![A:'type/realax/real']: 'const/realax/real_le'(A,A))).
0.00/0.22	tff('1', plain, ![X6 : 'type/realax/real']: 'const/realax/real_le'(X6, X6),
0.00/0.22	    inference('cnf', [status(esa)], [thm/realax/REAL_LE_REFL_])).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X7 : 'type/realax/real' > $o, X8 : 'type/realax/real']:
0.00/0.22	      (~ 'const/sets/FINITE'('type/realax/real', X7)
0.00/0.22	       | X7 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | 'const/sets/IN'('type/realax/real', sk_A1(X8, X7), X7)
0.00/0.22	       | ~ 'const/realax/real_le'(X8, 'const/sets/sup'(X7))),
0.00/0.22	    inference('cnf', [status(esa)], [thm/sets/REAL_LE_SUP_FINITE_])).
0.00/0.22	tff('thm/sets/SUP_UNIQUE_FINITE_', conjecture,
0.00/0.22	  (![A:'type/realax/real',A0:('type/realax/real' > $o)]:
0.00/0.22	     (((A0 != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.22	       'const/sets/FINITE'('type/realax/real',A0)) =>
0.00/0.22	      (('const/sets/sup'(A0) = A) <=>
0.00/0.22	       ((![A1:'type/realax/real']:
0.00/0.22	           ('const/sets/IN'('type/realax/real',A1,A0) =>
0.00/0.22	            'const/realax/real_le'(A1,A))) & 
0.00/0.22	        'const/sets/IN'('type/realax/real',A,A0)))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (![A:'type/realax/real',A0:('type/realax/real' > $o)]:
0.00/0.22	       (((A0 != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.22	         'const/sets/FINITE'('type/realax/real',A0)) =>
0.00/0.22	        (('const/sets/sup'(A0) = A) <=>
0.00/0.22	         ((![A1:'type/realax/real']:
0.00/0.22	             ('const/sets/IN'('type/realax/real',A1,A0) =>
0.00/0.22	              'const/realax/real_le'(A1,A))) & 
0.00/0.22	          'const/sets/IN'('type/realax/real',A,A0))))))).
0.00/0.22	tff('3', plain, 'const/sets/FINITE'('type/realax/real', sk_A0),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X7 : 'type/realax/real' > $o, X8 : 'type/realax/real', 
0.00/0.22	      X9 : 'type/realax/real']:
0.00/0.22	      (~ 'const/sets/FINITE'('type/realax/real', X7)
0.00/0.22	       | X7 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | 'const/realax/real_le'(X8, 'const/sets/sup'(X7))
0.00/0.22	       | ~ 'const/sets/IN'('type/realax/real', X9, X7)
0.00/0.22	       | ~ 'const/realax/real_le'(X8, X9)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/sets/REAL_LE_SUP_FINITE_])).
0.00/0.22	tff('5', plain,
0.00/0.22	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ 'const/realax/real_le'(X1, X0)
0.00/0.22	       | ~ 'const/sets/IN'('type/realax/real', X0, sk_A0)
0.00/0.22	       | 'const/realax/real_le'(X1, 'const/sets/sup'(sk_A0))
0.00/0.22	       | sk_A0 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.22	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.00/0.22	      (sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | 'const/realax/real_le'(X1, 'const/sets/sup'(sk_A0))
0.00/0.22	       | ~ 'const/sets/IN'('type/realax/real', X0, sk_A0)
0.00/0.22	       | ~ 'const/realax/real_le'(X1, X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['5'])).
0.00/0.22	tff('7', plain, sk_A0 != 'const/sets/EMPTY'('type/realax/real'),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(X1, 'const/sets/sup'(sk_A0))
0.00/0.22	       | ~ 'const/sets/IN'('type/realax/real', X0, sk_A0)
0.00/0.22	       | ~ 'const/realax/real_le'(X1, X0)),
0.00/0.22	    inference('simplify_reflect-', [status(thm)], ['6', '7'])).
0.00/0.22	tff('9', plain,
0.00/0.22	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ 'const/realax/real_le'(X0, 'const/sets/sup'(sk_A0))
0.00/0.22	       | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | ~ 'const/sets/FINITE'('type/realax/real', sk_A0)
0.00/0.22	       | ~ 'const/realax/real_le'(X1, sk_A1(X0, sk_A0))
0.00/0.22	       | 'const/realax/real_le'(X1, 'const/sets/sup'(sk_A0))),
0.00/0.22	    inference('sup-', [status(thm)], ['2', '8'])).
0.00/0.22	tff('10', plain,
0.00/0.22	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ 'const/realax/real_le'(X0, 'const/sets/sup'(sk_A0))
0.00/0.22	       | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | ~ $true
0.00/0.22	       | ~ 'const/realax/real_le'(X1, sk_A1(X0, sk_A0))
0.00/0.22	       | 'const/realax/real_le'(X1, 'const/sets/sup'(sk_A0))),
0.00/0.22	    inference('demod', [status(thm)], ['9', '3'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(X1, 'const/sets/sup'(sk_A0))
0.00/0.22	       | ~ 'const/realax/real_le'(X1, sk_A1(X0, sk_A0))
0.00/0.22	       | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | ~ 'const/realax/real_le'(X0, 'const/sets/sup'(sk_A0))),
0.00/0.22	    inference('simplify', [status(thm)], ['10'])).
0.00/0.22	tff('12', plain,
0.00/0.22	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(X1, 'const/sets/sup'(sk_A0))
0.00/0.22	       | ~ 'const/realax/real_le'(X1, sk_A1(X0, sk_A0))
0.00/0.22	       | ~ 'const/realax/real_le'(X0, 'const/sets/sup'(sk_A0))),
0.00/0.22	    inference('simplify_reflect-', [status(thm)], ['11', '7'])).
0.00/0.22	tff('13', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ 'const/realax/real_le'(X0, 'const/sets/sup'(sk_A0))
0.00/0.22	       | 'const/realax/real_le'(sk_A1(X0, sk_A0), 'const/sets/sup'(sk_A0))),
0.00/0.22	    inference('sup-', [status(thm)], ['1', '12'])).
0.00/0.22	tff('14', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(sk_A1(X0, sk_A0), 'const/sets/sup'(sk_A0))
0.00/0.22	       | ~ 'const/realax/real_le'(X0, 'const/sets/sup'(sk_A0))),
0.00/0.22	    inference('simplify', [status(thm)], ['13'])).
0.00/0.22	tff('thm/realax/REAL_LE_ANTISYM_', axiom,
0.00/0.22	  (![A:'type/realax/real',A0:'type/realax/real']:
0.00/0.22	     (('const/realax/real_le'(A0,A) & 'const/realax/real_le'(A,A0)) <=>
0.00/0.22	      (A = A0)))).
0.00/0.22	tff('15', plain,
0.00/0.22	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.00/0.22	      (X1 = X0
0.00/0.22	       | ~ 'const/realax/real_le'(X1, X0)
0.00/0.22	       | ~ 'const/realax/real_le'(X0, X1)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/realax/REAL_LE_ANTISYM_])).
0.00/0.22	tff('16', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ 'const/realax/real_le'(X0, 'const/sets/sup'(sk_A0))
0.00/0.22	       | ~ 'const/realax/real_le'('const/sets/sup'(sk_A0), sk_A1(X0, sk_A0))
0.00/0.22	       | sk_A1(X0, sk_A0) = 'const/sets/sup'(sk_A0)),
0.00/0.22	    inference('sup-', [status(thm)], ['14', '15'])).
0.00/0.22	tff('17', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (sk_A1(X0, sk_A0) = 'const/sets/sup'(sk_A0)
0.00/0.22	       | ~ 'const/realax/real_le'('const/sets/sup'(sk_A0), sk_A1(X0, sk_A0))
0.00/0.22	       | ~ 'const/realax/real_le'(X0, 'const/sets/sup'(sk_A0))),
0.00/0.22	    inference('simplify', [status(thm)], ['16'])).
0.00/0.22	tff('18', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ 'const/realax/real_le'('const/sets/sup'(sk_A0), 
0.00/0.22	           'const/sets/sup'(sk_A0))
0.00/0.22	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | ~ 'const/sets/FINITE'('type/realax/real', sk_A0)
0.00/0.22	     | ~ 'const/realax/real_le'('const/sets/sup'(sk_A0), 
0.00/0.22	           'const/sets/sup'(sk_A0))
0.00/0.22	     | sk_A1('const/sets/sup'(sk_A0), sk_A0) = 'const/sets/sup'(sk_A0)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '17'])).
0.00/0.22	tff('19', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ $true
0.00/0.22	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | ~ $true
0.00/0.22	     | ~ $true
0.00/0.22	     | sk_A1('const/sets/sup'(sk_A0), sk_A0) = 'const/sets/sup'(sk_A0)),
0.00/0.22	    inference('demod', [status(thm)], ['18', '1', '3', '1'])).
0.00/0.22	tff('20', plain,
0.00/0.22	    (sk_A1('const/sets/sup'(sk_A0), sk_A0) = 'const/sets/sup'(sk_A0)
0.00/0.22	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.22	    inference('simplify', [status(thm)], ['19'])).
0.00/0.22	tff('21', plain,
0.00/0.22	    sk_A1('const/sets/sup'(sk_A0), sk_A0) = 'const/sets/sup'(sk_A0),
0.00/0.22	    inference('simplify_reflect-', [status(thm)], ['20', '7'])).
0.00/0.22	tff('22', plain,
0.00/0.22	    ('const/sets/IN'('type/realax/real', 'const/sets/sup'(sk_A0), sk_A0)
0.00/0.22	     | ~ 'const/realax/real_le'('const/sets/sup'(sk_A0), 
0.00/0.22	           'const/sets/sup'(sk_A0))
0.00/0.22	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | ~ 'const/sets/FINITE'('type/realax/real', sk_A0)),
0.00/0.22	    inference('sup+', [status(thm)], ['21', '2'])).
0.00/0.22	tff('23', plain,
0.00/0.22	    ('const/sets/IN'('type/realax/real', 'const/sets/sup'(sk_A0), sk_A0)
0.00/0.22	     | ~ $true
0.00/0.22	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['22', '1', '3'])).
0.00/0.22	tff('24', plain,
0.00/0.22	    (sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | 'const/sets/IN'('type/realax/real', 'const/sets/sup'(sk_A0), sk_A0)),
0.00/0.22	    inference('simplify', [status(thm)], ['23'])).
0.00/0.22	tff('25', plain,
0.00/0.22	    'const/sets/IN'('type/realax/real', 'const/sets/sup'(sk_A0), sk_A0),
0.00/0.22	    inference('simplify_reflect-', [status(thm)], ['24', '7'])).
0.00/0.22	tff('26', plain,
0.00/0.22	    (~ 'const/sets/IN'('type/realax/real', sk_A, sk_A0)
0.00/0.22	     | 'const/sets/IN'('type/realax/real', sk_A12, sk_A0)
0.00/0.22	     | 'const/sets/sup'(sk_A0) != sk_A),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('27', plain,
0.00/0.22	    ('const/sets/IN'('type/realax/real', sk_A, sk_A0)
0.00/0.22	     | 'const/sets/sup'(sk_A0) = sk_A),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('28', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | 'const/sets/sup'(sk_A0) = sk_A
0.00/0.22	       | ~ 'const/realax/real_le'(X0, sk_A)
0.00/0.22	       | 'const/realax/real_le'(X0, 'const/sets/sup'(sk_A0))),
0.00/0.22	    inference('sup-', [status(thm)], ['27', '8'])).
0.00/0.22	tff('29', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(X0, 'const/sets/sup'(sk_A0))
0.00/0.22	       | ~ 'const/realax/real_le'(X0, sk_A)
0.00/0.22	       | 'const/sets/sup'(sk_A0) = sk_A),
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	     | 'const/sets/sup'(sk_A0) = sk_A
0.00/0.22	     | 'const/realax/real_le'(sk_A, 'const/sets/sup'(sk_A0))),
0.00/0.22	    inference('sup-', [status(thm)], ['1', '29'])).
0.00/0.22	tff('31', plain,
0.00/0.22	    ('const/realax/real_le'(sk_A, 'const/sets/sup'(sk_A0))
0.00/0.22	     | 'const/sets/sup'(sk_A0) = sk_A),
0.00/0.22	    inference('simplify', [status(thm)], ['30'])).
0.00/0.22	tff('thm/sets/REAL_SUP_LE_FINITE_', axiom,
0.00/0.22	  (![A:('type/realax/real' > $o),A0:'type/realax/real']:
0.00/0.22	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.22	       'const/sets/FINITE'('type/realax/real',A)) =>
0.00/0.22	      ('const/realax/real_le'('const/sets/sup'(A),A0) <=>
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'(A1,A0))))))).
0.00/0.22	tff('32', plain,
0.00/0.22	    ![X10 : 'type/realax/real' > $o, X12 : 'type/realax/real']:
0.00/0.22	      (~ 'const/sets/FINITE'('type/realax/real', X10)
0.00/0.22	       | X10 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | 'const/realax/real_le'('const/sets/sup'(X10), X12)
0.00/0.22	       | 'const/sets/IN'('type/realax/real', sk_A11(X12, X10), X10)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/sets/REAL_SUP_LE_FINITE_])).
0.00/0.22	tff('33', plain,
0.00/0.22	    ![X13 : 'type/realax/real']:
0.00/0.22	      (~ 'const/sets/IN'('type/realax/real', X13, sk_A0)
0.00/0.22	       | 'const/realax/real_le'(X13, sk_A)
0.00/0.22	       | 'const/sets/sup'(sk_A0) = sk_A),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
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/sup'(sk_A0), X0)
0.00/0.22	       | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | ~ 'const/sets/FINITE'('type/realax/real', sk_A0)
0.00/0.22	       | 'const/sets/sup'(sk_A0) = sk_A
0.00/0.22	       | 'const/realax/real_le'(sk_A11(X0, sk_A0), sk_A)),
0.00/0.22	    inference('sup-', [status(thm)], ['32', '33'])).
0.00/0.22	tff('35', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | 'const/realax/real_le'('const/sets/sup'(sk_A0), X0)
0.00/0.22	       | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | ~ $true
0.00/0.22	       | 'const/sets/sup'(sk_A0) = sk_A
0.00/0.22	       | 'const/realax/real_le'(sk_A11(X0, sk_A0), sk_A)),
0.00/0.22	    inference('demod', [status(thm)], ['34', '3'])).
0.00/0.22	tff('36', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(sk_A11(X0, sk_A0), sk_A)
0.00/0.22	       | 'const/sets/sup'(sk_A0) = sk_A
0.00/0.22	       | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | 'const/realax/real_le'('const/sets/sup'(sk_A0), X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['35'])).
0.00/0.22	tff('37', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(sk_A11(X0, sk_A0), sk_A)
0.00/0.22	       | 'const/sets/sup'(sk_A0) = sk_A
0.00/0.22	       | 'const/realax/real_le'('const/sets/sup'(sk_A0), X0)),
0.00/0.22	    inference('simplify_reflect-', [status(thm)], ['36', '7'])).
0.00/0.22	tff('38', plain,
0.00/0.22	    ![X10 : 'type/realax/real' > $o, X12 : 'type/realax/real']:
0.00/0.22	      (~ 'const/sets/FINITE'('type/realax/real', X10)
0.00/0.22	       | X10 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | 'const/realax/real_le'('const/sets/sup'(X10), X12)
0.00/0.22	       | ~ 'const/realax/real_le'(sk_A11(X12, X10), X12)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/sets/REAL_SUP_LE_FINITE_])).
0.00/0.22	tff('39', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | 'const/realax/real_le'('const/sets/sup'(sk_A0), sk_A)
0.00/0.22	     | 'const/sets/sup'(sk_A0) = sk_A
0.00/0.22	     | 'const/realax/real_le'('const/sets/sup'(sk_A0), sk_A)
0.00/0.22	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | ~ 'const/sets/FINITE'('type/realax/real', sk_A0)),
0.00/0.22	    inference('sup-', [status(thm)], ['37', '38'])).
0.00/0.22	tff('40', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | 'const/realax/real_le'('const/sets/sup'(sk_A0), sk_A)
0.00/0.22	     | 'const/sets/sup'(sk_A0) = sk_A
0.00/0.22	     | 'const/realax/real_le'('const/sets/sup'(sk_A0), sk_A)
0.00/0.22	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['39', '3'])).
0.00/0.22	tff('41', plain,
0.00/0.22	    (sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | 'const/sets/sup'(sk_A0) = sk_A
0.00/0.22	     | 'const/realax/real_le'('const/sets/sup'(sk_A0), sk_A)),
0.00/0.22	    inference('simplify', [status(thm)], ['40'])).
0.00/0.22	tff('42', plain,
0.00/0.22	    ('const/sets/sup'(sk_A0) = sk_A
0.00/0.22	     | 'const/realax/real_le'('const/sets/sup'(sk_A0), sk_A)),
0.00/0.22	    inference('simplify_reflect-', [status(thm)], ['41', '7'])).
0.00/0.22	tff('43', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | 'const/sets/sup'(sk_A0) = sk_A
0.00/0.22	     | ~ 'const/realax/real_le'(sk_A, 'const/sets/sup'(sk_A0))
0.00/0.22	     | 'const/sets/sup'(sk_A0) = sk_A),
0.00/0.22	    inference('sup-', [status(thm)], ['42', '15'])).
0.00/0.22	tff('44', plain,
0.00/0.22	    (~ 'const/realax/real_le'(sk_A, 'const/sets/sup'(sk_A0))
0.00/0.22	     | 'const/sets/sup'(sk_A0) = sk_A),
0.00/0.22	    inference('simplify', [status(thm)], ['43'])).
0.00/0.22	tff('45', plain, 'const/sets/sup'(sk_A0) = sk_A,
0.00/0.22	    inference('clc', [status(thm)], ['31', '44'])).
0.00/0.22	tff('46', plain,
0.00/0.22	    (~ 'const/sets/IN'('type/realax/real', 'const/sets/sup'(sk_A0), sk_A0)
0.00/0.22	     | 'const/sets/IN'('type/realax/real', sk_A12, sk_A0)
0.00/0.22	     | 'const/sets/sup'(sk_A0) != 'const/sets/sup'(sk_A0)),
0.00/0.22	    inference('demod', [status(thm)], ['26', '45', '45'])).
0.00/0.22	tff('47', plain,
0.00/0.22	    ('const/sets/IN'('type/realax/real', sk_A12, sk_A0)
0.00/0.22	     | ~ 'const/sets/IN'('type/realax/real', 'const/sets/sup'(sk_A0), sk_A0)),
0.00/0.22	    inference('simplify', [status(thm)], ['46'])).
0.00/0.22	tff('48', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ 'const/sets/IN'('type/realax/real', 'const/sets/sup'(sk_A0), 
0.00/0.22	             sk_A0)
0.00/0.22	       | ~ 'const/realax/real_le'(X0, sk_A12)
0.00/0.22	       | 'const/realax/real_le'(X0, 'const/sets/sup'(sk_A0))),
0.00/0.22	    inference('sup-', [status(thm)], ['47', '8'])).
0.00/0.22	tff('49', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(X0, 'const/sets/sup'(sk_A0))
0.00/0.22	       | ~ 'const/realax/real_le'(X0, sk_A12)
0.00/0.22	       | ~ 'const/sets/IN'('type/realax/real', 'const/sets/sup'(sk_A0), 
0.00/0.22	             sk_A0)),
0.00/0.22	    inference('simplify', [status(thm)], ['48'])).
0.00/0.22	tff('50', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ 'const/sets/IN'('type/realax/real', 'const/sets/sup'(sk_A0), sk_A0)
0.00/0.22	     | 'const/realax/real_le'(sk_A12, 'const/sets/sup'(sk_A0))),
0.00/0.22	    inference('sup-', [status(thm)], ['1', '49'])).
0.00/0.22	tff('51', plain,
0.00/0.22	    ('const/realax/real_le'(sk_A12, 'const/sets/sup'(sk_A0))
0.00/0.22	     | ~ 'const/sets/IN'('type/realax/real', 'const/sets/sup'(sk_A0), sk_A0)),
0.00/0.22	    inference('simplify', [status(thm)], ['50'])).
0.00/0.22	tff('52', plain,
0.00/0.22	    (~ 'const/sets/IN'('type/realax/real', sk_A, sk_A0)
0.00/0.22	     | ~ 'const/realax/real_le'(sk_A12, sk_A)
0.00/0.22	     | 'const/sets/sup'(sk_A0) != sk_A),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('53', plain,
0.00/0.22	    (~ 'const/sets/IN'('type/realax/real', 'const/sets/sup'(sk_A0), sk_A0)
0.00/0.22	     | ~ 'const/realax/real_le'(sk_A12, 'const/sets/sup'(sk_A0))
0.00/0.22	     | 'const/sets/sup'(sk_A0) != 'const/sets/sup'(sk_A0)),
0.00/0.22	    inference('demod', [status(thm)], ['52', '45', '45', '45'])).
0.00/0.22	tff('54', plain,
0.00/0.22	    (~ 'const/realax/real_le'(sk_A12, 'const/sets/sup'(sk_A0))
0.00/0.22	     | ~ 'const/sets/IN'('type/realax/real', 'const/sets/sup'(sk_A0), sk_A0)),
0.00/0.22	    inference('simplify', [status(thm)], ['53'])).
0.00/0.22	tff('55', plain,
0.00/0.22	    ~ 'const/sets/IN'('type/realax/real', 'const/sets/sup'(sk_A0), sk_A0),
0.00/0.22	    inference('clc', [status(thm)], ['51', '54'])).
0.00/0.22	tff('56', plain, ~ $true, inference('sup-', [status(thm)], ['25', '55'])).
0.00/0.22	tff('57', plain, $false, inference('simplify', [status(thm)], ['56'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
