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    : 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-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
0.00/0.20	% Computer   : n114.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 18:43:09 CST 2018
0.91/1.13	% done 877 iterations in 0.927s
0.91/1.13	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.91/1.13	% SZS output start Refutation
0.91/1.13	tff('thm/sets/REAL_LE_INF_SUBSET_', conjecture,
0.91/1.13	  (![A:('type/realax/real' > $o),A0:('type/realax/real' > $o)]:
0.91/1.13	     (((?[A1:'type/realax/real']:
0.91/1.13	          (![A2:'type/realax/real']:
0.91/1.13	             ('const/sets/IN'('type/realax/real',A2,A) =>
0.91/1.13	              'const/realax/real_le'(A1,A2)))) & 
0.91/1.13	       'const/sets/SUBSET'('type/realax/real',A0,A) & 
0.91/1.13	       (A0 != 'const/sets/EMPTY'('type/realax/real'))) =>
0.91/1.13	      'const/realax/real_le'('const/sets/inf'(A),'const/sets/inf'(A0))))).
0.91/1.13	tff(zf_stmt_0, negated_conjecture,
0.91/1.13	  (~
0.91/1.13	    (![A:('type/realax/real' > $o),A0:('type/realax/real' > $o)]:
0.91/1.13	       (((?[A1:'type/realax/real']:
0.91/1.13	            (![A2:'type/realax/real']:
0.91/1.13	               ('const/sets/IN'('type/realax/real',A2,A) =>
0.91/1.13	                'const/realax/real_le'(A1,A2)))) & 
0.91/1.13	         'const/sets/SUBSET'('type/realax/real',A0,A) & 
0.91/1.13	         (A0 != 'const/sets/EMPTY'('type/realax/real'))) =>
0.91/1.13	        'const/realax/real_le'('const/sets/inf'(A),'const/sets/inf'(A0)))))).
0.91/1.13	tff('0', plain, 'const/sets/SUBSET'('type/realax/real', sk_A0, sk_A),
0.91/1.13	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.91/1.13	tff('thm/sets/INF_', axiom,
0.91/1.13	  (![A:('type/realax/real' > $o)]:
0.91/1.13	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.91/1.13	       (?[A0:'type/realax/real']:
0.91/1.13	          (![A1:'type/realax/real']:
0.91/1.13	             ('const/sets/IN'('type/realax/real',A1,A) =>
0.91/1.13	              'const/realax/real_le'(A0,A1))))) =>
0.91/1.13	      ((![A0:'type/realax/real']:
0.91/1.13	          ('const/sets/IN'('type/realax/real',A0,A) =>
0.91/1.13	           'const/realax/real_le'('const/sets/inf'(A),A0))) & 
0.91/1.13	       (![A0:'type/realax/real']:
0.91/1.13	          ((![A1:'type/realax/real']:
0.91/1.13	              ('const/sets/IN'('type/realax/real',A1,A) =>
0.91/1.13	               'const/realax/real_le'(A0,A1))) =>
0.91/1.13	           'const/realax/real_le'(A0,'const/sets/inf'(A)))))))).
0.91/1.13	tff(zf_stmt_1, axiom,
0.91/1.13	  (('const/sets/IN'('type/realax/real',A1,A) => 'const/realax/real_le'(A0,A1)) =>
0.91/1.13	   zip_tseitin1(A1,A0,A))).
0.91/1.13	tff('1', plain,
0.91/1.13	    ![X23 : 'type/realax/real' > $o, X24 : 'type/realax/real', 
0.91/1.13	      X25 : 'type/realax/real']:
0.91/1.13	      (zip_tseitin1(X24, X25, X23)
0.91/1.13	       | 'const/sets/IN'('type/realax/real', X24, X23)),
0.91/1.13	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.91/1.13	tff('thm/sets/SUBSET_', axiom,
0.91/1.13	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.91/1.13	     ('const/sets/SUBSET'(A,A0,A1) <=>
0.91/1.13	      (![A2:A]: ('const/sets/IN'(A,A2,A0) => 'const/sets/IN'(A,A2,A1)))))).
0.91/1.13	tff('2', plain,
0.91/1.13	    ![X16 : $tType, X17 : X16, X18 : X16 > $o, X19 : X16 > $o]:
0.91/1.13	      (~ 'const/sets/IN'(X16, X17, X18)
0.91/1.13	       | 'const/sets/IN'(X16, X17, X19)
0.91/1.13	       | ~ 'const/sets/SUBSET'(X16, X18, X19)),
0.91/1.13	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
0.91/1.13	tff('3', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real', 
0.91/1.13	      X2 : 'type/realax/real' > $o, X3 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | zip_tseitin1(X1, X3, X0)
0.91/1.13	       | ~ 'const/sets/SUBSET'('type/realax/real', X0, X2)
0.91/1.13	       | 'const/sets/IN'('type/realax/real', X1, X2)),
0.91/1.13	    inference('sup-', [status(thm)], ['1', '2'])).
0.91/1.13	tff('4', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real', 
0.91/1.13	      X2 : 'type/realax/real' > $o, X3 : 'type/realax/real']:
0.91/1.13	      ('const/sets/IN'('type/realax/real', X1, X2)
0.91/1.13	       | ~ 'const/sets/SUBSET'('type/realax/real', X0, X2)
0.91/1.13	       | zip_tseitin1(X1, X3, X0)),
0.91/1.13	    inference('simplify', [status(thm)], ['3'])).
0.91/1.13	tff('5', plain,
0.91/1.13	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | zip_tseitin1(X1, X0, sk_A0)
0.91/1.13	       | 'const/sets/IN'('type/realax/real', X1, sk_A)),
0.91/1.13	    inference('sup-', [status(thm)], ['0', '4'])).
0.91/1.13	tff('6', plain,
0.91/1.13	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.91/1.13	      ('const/sets/IN'('type/realax/real', X1, sk_A)
0.91/1.13	       | zip_tseitin1(X1, X0, sk_A0)),
0.91/1.13	    inference('simplify', [status(thm)], ['5'])).
0.91/1.13	tff(zf_stmt_2, axiom,
0.91/1.13	  (zip_tseitin2(A) =>
0.91/1.13	   ((![A0:'type/realax/real']:
0.91/1.13	       ((![A1:'type/realax/real']: zip_tseitin1(A1,A0,A)) =>
0.91/1.13	        'const/realax/real_le'(A0,'const/sets/inf'(A)))) & 
0.91/1.13	    (![A0:'type/realax/real']:
0.91/1.13	       ('const/sets/IN'('type/realax/real',A0,A) =>
0.91/1.13	        'const/realax/real_le'('const/sets/inf'(A),A0)))))).
0.91/1.13	tff('7', plain,
0.91/1.13	    ![X23 : 'type/realax/real' > $o, X26 : 'type/realax/real']:
0.91/1.13	      (~ zip_tseitin1(sk_A11(X26, X23), X26, X23)
0.91/1.13	       | 'const/realax/real_le'(X26, 'const/sets/inf'(X23))
0.91/1.13	       | ~ zip_tseitin2(X23)),
0.91/1.13	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.91/1.13	tff('8', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | 'const/sets/IN'('type/realax/real', sk_A11(X0, sk_A0), sk_A)
0.91/1.13	       | ~ zip_tseitin2(sk_A0)
0.91/1.13	       | 'const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))),
0.91/1.13	    inference('sup-', [status(thm)], ['6', '7'])).
0.91/1.13	tff(zf_stmt_3, axiom,
0.91/1.13	  (('const/sets/IN'('type/realax/real',A1,A) => 'const/realax/real_le'(A0,A1)) =>
0.91/1.13	   zip_tseitin0(A1,A0,A))).
0.91/1.13	tff('9', plain,
0.91/1.13	    ![X21 : 'type/realax/real', X22 : 'type/realax/real', 
0.91/1.13	      X23 : 'type/realax/real' > $o]:
0.91/1.13	      (zip_tseitin0(X21, X22, X23)
0.91/1.13	       | 'const/sets/IN'('type/realax/real', X21, X23)),
0.91/1.13	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.91/1.13	tff('thm/sets/IN_', axiom,
0.91/1.13	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
0.91/1.13	tff('10', plain,
0.91/1.13	    ![X4 : $tType, X5 : X4 > $o, X6 : X4]:
0.91/1.13	      (X5(X6) | ~ 'const/sets/IN'(X4, X6, X5)),
0.91/1.13	    inference('cnf', [status(esa)], [thm/sets/IN_])).
0.91/1.13	tff('11', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real', 
0.91/1.13	      X2 : 'type/realax/real']: (~ $true | zip_tseitin0(X1, X2, X0) | X0(X1)),
0.91/1.13	    inference('sup-', [status(thm)], ['9', '10'])).
0.91/1.13	tff('12', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real', 
0.91/1.13	      X2 : 'type/realax/real']: (X0(X1) | zip_tseitin0(X1, X2, X0)),
0.91/1.13	    inference('simplify', [status(thm)], ['11'])).
0.91/1.13	tff(zf_stmt_4, type, zip_tseitin2 : 'type/realax/real' > $o > $o).
0.91/1.13	tff(zf_stmt_5, type, zip_tseitin1 :
0.91/1.13	    ('type/realax/real' * 'type/realax/real' * 'type/realax/real' > $o) > $o).
0.91/1.13	tff(zf_stmt_6, type, zip_tseitin0 :
0.91/1.13	    ('type/realax/real' * 'type/realax/real' * 'type/realax/real' > $o) > $o).
0.91/1.13	tff(zf_stmt_7, axiom,
0.91/1.13	  (![A:('type/realax/real' > $o)]:
0.91/1.13	     (((?[A0:'type/realax/real']:
0.91/1.13	          (![A1:'type/realax/real']: zip_tseitin0(A1,A0,A))) & 
0.91/1.13	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.91/1.13	      zip_tseitin2(A)))).
0.91/1.13	tff('13', plain,
0.91/1.13	    ![X28 : 'type/realax/real' > $o, X29 : 'type/realax/real']:
0.91/1.13	      (zip_tseitin2(X28)
0.91/1.13	       | X28 = 'const/sets/EMPTY'('type/realax/real')
0.91/1.13	       | ~ zip_tseitin0(sk_A12(X29, X28), X29, X28)),
0.91/1.13	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.91/1.13	tff('14', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | X0(sk_A12(X1, X0))
0.91/1.13	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.91/1.13	       | zip_tseitin2(X0)),
0.91/1.13	    inference('sup-', [status(thm)], ['12', '13'])).
0.91/1.13	tff('15', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.91/1.13	      (zip_tseitin2(X0)
0.91/1.13	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.91/1.13	       | X0(sk_A12(X1, X0))),
0.91/1.13	    inference('simplify', [status(thm)], ['14'])).
0.91/1.13	tff('16', plain,
0.91/1.13	    ![X4 : $tType, X5 : X4 > $o, X7 : X4]:
0.91/1.13	      ('const/sets/IN'(X4, X7, X5) | ~ X5(X7)),
0.91/1.13	    inference('cnf', [status(esa)], [thm/sets/IN_])).
0.91/1.13	tff('17', plain,
0.91/1.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0 > $o]:
0.91/1.13	      (~ $true
0.91/1.13	       | ~ X1(X2)
0.91/1.13	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
0.91/1.13	       | 'const/sets/IN'(X0, X2, X3)),
0.91/1.13	    inference('sup-', [status(thm)], ['16', '2'])).
0.91/1.13	tff('18', plain,
0.91/1.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0 > $o]:
0.91/1.13	      ('const/sets/IN'(X0, X2, X3)
0.91/1.13	       | ~ 'const/sets/SUBSET'(X0, X1, X3)
0.91/1.13	       | ~ X1(X2)),
0.91/1.13	    inference('simplify', [status(thm)], ['17'])).
0.91/1.13	tff('19', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      (~ $true | ~ sk_A0(X0) | 'const/sets/IN'('type/realax/real', X0, sk_A)),
0.91/1.13	    inference('sup-', [status(thm)], ['0', '18'])).
0.91/1.13	tff('20', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      ('const/sets/IN'('type/realax/real', X0, sk_A) | ~ sk_A0(X0)),
0.91/1.13	    inference('simplify', [status(thm)], ['19'])).
0.91/1.13	tff('21', plain,
0.91/1.13	    ![X0 : 'type/realax/real']: (~ $true | ~ sk_A0(X0) | sk_A(X0)),
0.91/1.13	    inference('sup-', [status(thm)], ['20', '10'])).
0.91/1.13	tff('22', plain, ![X0 : 'type/realax/real']: (sk_A(X0) | ~ sk_A0(X0)),
0.91/1.13	    inference('simplify', [status(thm)], ['21'])).
0.91/1.13	tff('23', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.91/1.13	       | zip_tseitin2(sk_A0)
0.91/1.13	       | sk_A(sk_A12(X0, sk_A0))),
0.91/1.13	    inference('sup-', [status(thm)], ['15', '22'])).
0.91/1.13	tff('24', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      (sk_A(sk_A12(X0, sk_A0))
0.91/1.13	       | zip_tseitin2(sk_A0)
0.91/1.13	       | sk_A0 = 'const/sets/EMPTY'('type/realax/real')),
0.91/1.13	    inference('simplify', [status(thm)], ['23'])).
0.91/1.13	tff('25', plain, sk_A0 != 'const/sets/EMPTY'('type/realax/real'),
0.91/1.13	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.91/1.13	tff('26', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      (sk_A(sk_A12(X0, sk_A0)) | zip_tseitin2(sk_A0)),
0.91/1.13	    inference('simplify_reflect-', [status(thm)], ['24', '25'])).
0.91/1.13	tff('27', plain,
0.91/1.13	    ![X30 : 'type/realax/real']:
0.91/1.13	      ('const/realax/real_le'(sk_A13, X30)
0.91/1.13	       | ~ 'const/sets/IN'('type/realax/real', X30, sk_A)),
0.91/1.13	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.91/1.13	tff('28', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      (~ $true | ~ sk_A(X0) | 'const/realax/real_le'(sk_A13, X0)),
0.91/1.13	    inference('sup-', [status(thm)], ['16', '27'])).
0.91/1.13	tff('29', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      ('const/realax/real_le'(sk_A13, X0) | ~ sk_A(X0)),
0.91/1.13	    inference('simplify', [status(thm)], ['28'])).
0.91/1.13	tff('30', plain,
0.91/1.13	    ![X21 : 'type/realax/real', X22 : 'type/realax/real', 
0.91/1.13	      X23 : 'type/realax/real' > $o]:
0.91/1.13	      (zip_tseitin0(X21, X22, X23) | ~ 'const/realax/real_le'(X22, X21)),
0.91/1.13	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.91/1.13	tff('31', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | ~ 'const/realax/real_le'(X1, sk_A12(X1, X0))
0.91/1.13	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.91/1.13	       | zip_tseitin2(X0)),
0.91/1.13	    inference('sup-', [status(thm)], ['30', '13'])).
0.91/1.13	tff('32', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.91/1.13	      (zip_tseitin2(X0)
0.91/1.13	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.91/1.13	       | ~ 'const/realax/real_le'(X1, sk_A12(X1, X0))),
0.91/1.13	    inference('simplify', [status(thm)], ['31'])).
0.91/1.13	tff('33', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o]:
0.91/1.13	      (~ $true
0.91/1.13	       | ~ sk_A(sk_A12(sk_A13, X0))
0.91/1.13	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.91/1.13	       | zip_tseitin2(X0)),
0.91/1.13	    inference('sup-', [status(thm)], ['29', '32'])).
0.91/1.13	tff('34', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o]:
0.91/1.13	      (zip_tseitin2(X0)
0.91/1.13	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.91/1.13	       | ~ sk_A(sk_A12(sk_A13, X0))),
0.91/1.13	    inference('simplify', [status(thm)], ['33'])).
0.91/1.13	tff('35', plain,
0.91/1.13	    (~ $true
0.91/1.13	     | zip_tseitin2(sk_A0)
0.91/1.13	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
0.91/1.13	     | zip_tseitin2(sk_A0)),
0.91/1.13	    inference('sup-', [status(thm)], ['26', '34'])).
0.91/1.13	tff('36', plain,
0.91/1.13	    (sk_A0 = 'const/sets/EMPTY'('type/realax/real') | zip_tseitin2(sk_A0)),
0.91/1.13	    inference('simplify', [status(thm)], ['35'])).
0.91/1.13	tff('37', plain, zip_tseitin2(sk_A0),
0.91/1.13	    inference('simplify_reflect-', [status(thm)], ['36', '25'])).
0.91/1.13	tff('38', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | 'const/sets/IN'('type/realax/real', sk_A11(X0, sk_A0), sk_A)
0.91/1.13	       | ~ $true
0.91/1.13	       | 'const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))),
0.91/1.13	    inference('demod', [status(thm)], ['8', '37'])).
0.91/1.13	tff('39', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      ('const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))
0.91/1.13	       | 'const/sets/IN'('type/realax/real', sk_A11(X0, sk_A0), sk_A)),
0.91/1.13	    inference('simplify', [status(thm)], ['38'])).
0.91/1.13	tff('40', plain,
0.91/1.13	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | zip_tseitin0(X0, X1, sk_A)
0.91/1.13	       | 'const/realax/real_le'(sk_A13, X0)),
0.91/1.13	    inference('sup-', [status(thm)], ['9', '27'])).
0.91/1.13	tff('41', plain,
0.91/1.13	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.91/1.13	      ('const/realax/real_le'(sk_A13, X0) | zip_tseitin0(X0, X1, sk_A)),
0.91/1.13	    inference('simplify', [status(thm)], ['40'])).
0.91/1.13	tff('42', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | 'const/realax/real_le'(sk_A13, sk_A12(X0, sk_A))
0.91/1.13	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.91/1.13	       | zip_tseitin2(sk_A)),
0.91/1.13	    inference('sup-', [status(thm)], ['41', '13'])).
0.91/1.13	tff('43', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      (zip_tseitin2(sk_A)
0.91/1.13	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.91/1.13	       | 'const/realax/real_le'(sk_A13, sk_A12(X0, sk_A))),
0.91/1.13	    inference('simplify', [status(thm)], ['42'])).
0.91/1.13	tff('44', plain,
0.91/1.13	    (~ $true
0.91/1.13	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.91/1.13	     | zip_tseitin2(sk_A)
0.91/1.13	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.91/1.13	     | zip_tseitin2(sk_A)),
0.91/1.13	    inference('sup-', [status(thm)], ['43', '32'])).
0.91/1.13	tff('45', plain,
0.91/1.13	    (zip_tseitin2(sk_A) | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.91/1.13	    inference('simplify', [status(thm)], ['44'])).
0.91/1.13	tff('46', plain,
0.91/1.13	    ![X16 : $tType, X18 : X16 > $o, X20 : X16 > $o]:
0.91/1.13	      ('const/sets/SUBSET'(X16, X18, X20)
0.91/1.13	       | 'const/sets/IN'(X16, sk_A21(X16, X20, X18), X18)),
0.91/1.13	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
0.91/1.13	tff('47', plain,
0.91/1.13	    ![X23 : 'type/realax/real' > $o, X27 : 'type/realax/real']:
0.91/1.13	      (~ 'const/sets/IN'('type/realax/real', X27, X23)
0.91/1.13	       | 'const/realax/real_le'('const/sets/inf'(X23), X27)
0.91/1.13	       | ~ zip_tseitin2(X23)),
0.91/1.13	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.91/1.13	tff('48', plain,
0.91/1.13	    ![X16 : $tType, X18 : X16 > $o, X20 : X16 > $o]:
0.91/1.13	      ('const/sets/SUBSET'(X16, X18, X20)
0.91/1.13	       | ~ 'const/sets/IN'(X16, sk_A21(X16, X20, X18), X20)),
0.91/1.13	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
0.91/1.13	tff('49', plain,
0.91/1.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.91/1.13	      (~ $true | ~ X1(sk_A21(X0, X1, X2)) | 'const/sets/SUBSET'(X0, X2, X1)),
0.91/1.13	    inference('sup-', [status(thm)], ['16', '48'])).
0.91/1.13	tff('50', plain,
0.91/1.13	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.91/1.13	      ('const/sets/SUBSET'(X0, X2, X1) | ~ X1(sk_A21(X0, X1, X2))),
0.91/1.13	    inference('simplify', [status(thm)], ['49'])).
0.91/1.13	tff('51', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real' > $o]:
0.91/1.13	      (~ $true
0.91/1.13	       | ~ zip_tseitin2(X0)
0.91/1.13	       | ~ 'const/sets/IN'('type/realax/real', 
0.91/1.13	             sk_A21('type/realax/real', 
0.91/1.13	               'const/realax/real_le'('const/sets/inf'(X0)), X1), X0)
0.91/1.13	       | 'const/sets/SUBSET'('type/realax/real', X1, 
0.91/1.13	           'const/realax/real_le'('const/sets/inf'(X0)))),
0.91/1.13	    inference('sup-', [status(thm)], ['47', '50'])).
0.91/1.13	tff('52', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real' > $o]:
0.91/1.13	      ('const/sets/SUBSET'('type/realax/real', X1, 
0.91/1.13	         'const/realax/real_le'('const/sets/inf'(X0)))
0.91/1.13	       | ~ 'const/sets/IN'('type/realax/real', 
0.91/1.13	             sk_A21('type/realax/real', 
0.91/1.13	               'const/realax/real_le'('const/sets/inf'(X0)), X1), X0)
0.91/1.13	       | ~ zip_tseitin2(X0)),
0.91/1.13	    inference('simplify', [status(thm)], ['51'])).
0.91/1.13	tff('53', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o]:
0.91/1.13	      (~ $true
0.91/1.13	       | 'const/sets/SUBSET'('type/realax/real', X0, 
0.91/1.13	           'const/realax/real_le'('const/sets/inf'(X0)))
0.91/1.13	       | ~ zip_tseitin2(X0)
0.91/1.13	       | 'const/sets/SUBSET'('type/realax/real', X0, 
0.91/1.13	           'const/realax/real_le'('const/sets/inf'(X0)))),
0.91/1.13	    inference('sup-', [status(thm)], ['46', '52'])).
0.91/1.13	tff('54', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o]:
0.91/1.13	      (~ zip_tseitin2(X0)
0.91/1.13	       | 'const/sets/SUBSET'('type/realax/real', X0, 
0.91/1.13	           'const/realax/real_le'('const/sets/inf'(X0)))),
0.91/1.13	    inference('simplify', [status(thm)], ['53'])).
0.91/1.13	tff('55', plain,
0.91/1.13	    ![X0 : 'type/realax/real', X1 : 'type/realax/real' > $o, 
0.91/1.13	      X2 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | zip_tseitin1(X0, X2, sk_A0)
0.91/1.13	       | ~ 'const/sets/SUBSET'('type/realax/real', sk_A, X1)
0.91/1.13	       | 'const/sets/IN'('type/realax/real', X0, X1)),
0.91/1.13	    inference('sup-', [status(thm)], ['6', '2'])).
0.91/1.13	tff('56', plain,
0.91/1.13	    ![X0 : 'type/realax/real', X1 : 'type/realax/real' > $o, 
0.91/1.13	      X2 : 'type/realax/real']:
0.91/1.13	      ('const/sets/IN'('type/realax/real', X0, X1)
0.91/1.13	       | ~ 'const/sets/SUBSET'('type/realax/real', sk_A, X1)
0.91/1.13	       | zip_tseitin1(X0, X2, sk_A0)),
0.91/1.13	    inference('simplify', [status(thm)], ['55'])).
0.91/1.13	tff('57', plain,
0.91/1.13	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | ~ zip_tseitin2(sk_A)
0.91/1.13	       | zip_tseitin1(X1, X0, sk_A0)
0.91/1.13	       | 'const/sets/IN'('type/realax/real', X1, 
0.91/1.13	           'const/realax/real_le'('const/sets/inf'(sk_A)))),
0.91/1.13	    inference('sup-', [status(thm)], ['54', '56'])).
0.91/1.13	tff('58', plain,
0.91/1.13	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.91/1.13	      ('const/sets/IN'('type/realax/real', X1, 
0.91/1.13	         'const/realax/real_le'('const/sets/inf'(sk_A)))
0.91/1.13	       | zip_tseitin1(X1, X0, sk_A0)
0.91/1.13	       | ~ zip_tseitin2(sk_A)),
0.91/1.13	    inference('simplify', [status(thm)], ['57'])).
0.91/1.13	tff('59', plain,
0.91/1.13	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | ~ zip_tseitin2(sk_A)
0.91/1.13	       | zip_tseitin1(X0, X1, sk_A0)
0.91/1.13	       | 'const/realax/real_le'('const/sets/inf'(sk_A), X0)),
0.91/1.13	    inference('sup-', [status(thm)], ['58', '10'])).
0.91/1.13	tff('60', plain,
0.91/1.13	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.91/1.13	      ('const/realax/real_le'('const/sets/inf'(sk_A), X0)
0.91/1.13	       | zip_tseitin1(X0, X1, sk_A0)
0.91/1.13	       | ~ zip_tseitin2(sk_A)),
0.91/1.13	    inference('simplify', [status(thm)], ['59'])).
0.91/1.13	tff('61', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | ~ zip_tseitin2(sk_A)
0.91/1.13	       | 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A11(X0, sk_A0))
0.91/1.13	       | ~ zip_tseitin2(sk_A0)
0.91/1.13	       | 'const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))),
0.91/1.13	    inference('sup-', [status(thm)], ['60', '7'])).
0.91/1.13	tff('62', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | ~ zip_tseitin2(sk_A)
0.91/1.13	       | 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A11(X0, sk_A0))
0.91/1.13	       | ~ $true
0.91/1.13	       | 'const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))),
0.91/1.13	    inference('demod', [status(thm)], ['61', '37'])).
0.91/1.13	tff('63', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      ('const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))
0.91/1.13	       | 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A11(X0, sk_A0))
0.91/1.13	       | ~ zip_tseitin2(sk_A)),
0.91/1.13	    inference('simplify', [status(thm)], ['62'])).
0.91/1.13	tff('64', plain,
0.91/1.13	    ![X23 : 'type/realax/real' > $o, X24 : 'type/realax/real', 
0.91/1.13	      X25 : 'type/realax/real']:
0.91/1.13	      (zip_tseitin1(X24, X25, X23) | ~ 'const/realax/real_le'(X25, X24)),
0.91/1.13	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.91/1.13	tff('65', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.91/1.13	      (~ $true
0.91/1.13	       | ~ 'const/realax/real_le'(X1, sk_A11(X1, X0))
0.91/1.13	       | ~ zip_tseitin2(X0)
0.91/1.13	       | 'const/realax/real_le'(X1, 'const/sets/inf'(X0))),
0.91/1.13	    inference('sup-', [status(thm)], ['64', '7'])).
0.91/1.13	tff('66', plain,
0.91/1.13	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
0.91/1.13	      ('const/realax/real_le'(X1, 'const/sets/inf'(X0))
0.91/1.13	       | ~ zip_tseitin2(X0)
0.91/1.13	       | ~ 'const/realax/real_le'(X1, sk_A11(X1, X0))),
0.91/1.13	    inference('simplify', [status(thm)], ['65'])).
0.91/1.13	tff('67', plain,
0.91/1.13	    (~ $true
0.91/1.13	     | ~ zip_tseitin2(sk_A)
0.91/1.13	     | 'const/realax/real_le'('const/sets/inf'(sk_A), 
0.91/1.13	         'const/sets/inf'(sk_A0))
0.91/1.13	     | ~ zip_tseitin2(sk_A0)
0.91/1.13	     | 'const/realax/real_le'('const/sets/inf'(sk_A), 
0.91/1.13	         'const/sets/inf'(sk_A0))),
0.91/1.13	    inference('sup-', [status(thm)], ['63', '66'])).
0.91/1.13	tff('68', plain,
0.91/1.13	    (~ $true
0.91/1.13	     | ~ zip_tseitin2(sk_A)
0.91/1.13	     | 'const/realax/real_le'('const/sets/inf'(sk_A), 
0.91/1.13	         'const/sets/inf'(sk_A0))
0.91/1.13	     | ~ $true
0.91/1.13	     | 'const/realax/real_le'('const/sets/inf'(sk_A), 
0.91/1.13	         'const/sets/inf'(sk_A0))),
0.91/1.13	    inference('demod', [status(thm)], ['67', '37'])).
0.91/1.13	tff('69', plain,
0.91/1.13	    ('const/realax/real_le'('const/sets/inf'(sk_A), 'const/sets/inf'(sk_A0))
0.91/1.13	     | ~ zip_tseitin2(sk_A)),
0.91/1.13	    inference('simplify', [status(thm)], ['68'])).
0.91/1.13	tff('70', plain,
0.91/1.13	    ~ 'const/realax/real_le'('const/sets/inf'(sk_A), 'const/sets/inf'(sk_A0)),
0.91/1.13	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.91/1.13	tff('71', plain, ~ zip_tseitin2(sk_A),
0.91/1.13	    inference('clc', [status(thm)], ['69', '70'])).
0.91/1.13	tff('72', plain, (~ $true | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.91/1.13	    inference('sup-', [status(thm)], ['45', '71'])).
0.91/1.13	tff('73', plain, sk_A = 'const/sets/EMPTY'('type/realax/real'),
0.91/1.13	    inference('simplify', [status(thm)], ['72'])).
0.91/1.13	tff('thm/sets/NOT_IN_EMPTY_', axiom,
0.91/1.13	  (![A:$tType,A0:A]: (~'const/sets/IN'(A,A0,'const/sets/EMPTY'(A))))).
0.91/1.13	tff('74', plain,
0.91/1.13	    ![X8 : $tType, X9 : X8]:
0.91/1.13	      ~ 'const/sets/IN'(X8, X9, 'const/sets/EMPTY'(X8)),
0.91/1.13	    inference('cnf', [status(esa)], [thm/sets/NOT_IN_EMPTY_])).
0.91/1.13	tff('75', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      ~ 'const/sets/IN'('type/realax/real', X0, sk_A),
0.91/1.13	    inference('sup-', [status(thm)], ['73', '74'])).
0.91/1.13	tff('76', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      (~ $true | 'const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))),
0.91/1.13	    inference('sup-', [status(thm)], ['39', '75'])).
0.91/1.13	tff('77', plain,
0.91/1.13	    ![X0 : 'type/realax/real']:
0.91/1.13	      'const/realax/real_le'(X0, 'const/sets/inf'(sk_A0)),
0.91/1.13	    inference('simplify', [status(thm)], ['76'])).
0.91/1.13	tff('78', plain, ~ $true, inference('sup-', [status(thm)], ['77', '70'])).
0.91/1.13	tff('79', plain, $false, inference('simplify', [status(thm)], ['78'])).
0.91/1.13	
0.91/1.13	% SZS output end Refutation
0.91/1.13	EOF
