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_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
0.00/0.19	% Computer   : n087.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 18:43:08 CST 2018
4.61/4.80	% done 2570 iterations in 4.604s
4.61/4.80	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
4.61/4.80	% SZS output start Refutation
4.61/4.80	tff('thm/sets/INF_', axiom,
4.61/4.80	  (![A:('type/realax/real' > $o)]:
4.61/4.80	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
4.61/4.80	       (?[A0:'type/realax/real']:
4.61/4.80	          (![A1:'type/realax/real']:
4.61/4.80	             ('const/sets/IN'('type/realax/real',A1,A) =>
4.61/4.80	              'const/realax/real_le'(A0,A1))))) =>
4.61/4.80	      ((![A0:'type/realax/real']:
4.61/4.80	          ('const/sets/IN'('type/realax/real',A0,A) =>
4.61/4.80	           'const/realax/real_le'('const/sets/inf'(A),A0))) & 
4.61/4.80	       (![A0:'type/realax/real']:
4.61/4.80	          ((![A1:'type/realax/real']:
4.61/4.80	              ('const/sets/IN'('type/realax/real',A1,A) =>
4.61/4.80	               'const/realax/real_le'(A0,A1))) =>
4.61/4.80	           'const/realax/real_le'(A0,'const/sets/inf'(A)))))))).
4.61/4.80	tff(zf_stmt_0, axiom,
4.61/4.80	  (('const/sets/IN'('type/realax/real',A1,A) => 'const/realax/real_le'(A0,A1)) =>
4.61/4.80	   zip_tseitin0(A1,A0,A))).
4.61/4.80	tff('0', plain,
4.61/4.80	    ![X21 : 'type/realax/real', X22 : 'type/realax/real', 
4.61/4.80	      X23 : 'type/realax/real' > $o]:
4.61/4.80	      (zip_tseitin0(X21, X22, X23)
4.61/4.80	       | 'const/sets/IN'('type/realax/real', X21, X23)),
4.61/4.82	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.61/4.82	tff('thm/sets/REAL_LE_INF_SUBSET_', conjecture,
4.61/4.82	  (![A:('type/realax/real' > $o),A0:('type/realax/real' > $o)]:
4.61/4.82	     (((?[A1:'type/realax/real']:
4.61/4.82	          (![A2:'type/realax/real']:
4.61/4.82	             ('const/sets/IN'('type/realax/real',A2,A) =>
4.61/4.82	              'const/realax/real_le'(A1,A2)))) & 
4.61/4.82	       'const/sets/SUBSET'('type/realax/real',A0,A) & 
4.61/4.82	       (A0 != 'const/sets/EMPTY'('type/realax/real'))) =>
4.61/4.82	      'const/realax/real_le'('const/sets/inf'(A),'const/sets/inf'(A0))))).
4.61/4.82	tff(zf_stmt_1, negated_conjecture,
4.61/4.82	  (~
4.61/4.82	    (![A:('type/realax/real' > $o),A0:('type/realax/real' > $o)]:
4.61/4.82	       (((?[A1:'type/realax/real']:
4.61/4.82	            (![A2:'type/realax/real']:
4.61/4.82	               ('const/sets/IN'('type/realax/real',A2,A) =>
4.61/4.82	                'const/realax/real_le'(A1,A2)))) & 
4.61/4.82	         'const/sets/SUBSET'('type/realax/real',A0,A) & 
4.61/4.82	         (A0 != 'const/sets/EMPTY'('type/realax/real'))) =>
4.61/4.82	        'const/realax/real_le'('const/sets/inf'(A),'const/sets/inf'(A0)))))).
4.61/4.82	tff('1', plain,
4.61/4.82	    ![X30 : 'type/realax/real']:
4.61/4.82	      ('const/realax/real_le'(sk_A13, X30)
4.61/4.82	       | ~ 'const/sets/IN'('type/realax/real', X30, sk_A)),
4.61/4.82	    inference('cnf', [status(esa)], [zf_stmt_1])).
4.61/4.82	tff('2', plain,
4.61/4.82	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
4.61/4.82	      (~ $true
4.61/4.82	       | zip_tseitin0(X0, X1, sk_A)
4.61/4.82	       | 'const/realax/real_le'(sk_A13, X0)),
4.61/4.82	    inference('sup-', [status(thm)], ['0', '1'])).
4.61/4.82	tff('3', plain,
4.61/4.82	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
4.61/4.82	      ('const/realax/real_le'(sk_A13, X0) | zip_tseitin0(X0, X1, sk_A)),
4.61/4.82	    inference('simplify', [status(thm)], ['2'])).
4.61/4.82	tff(zf_stmt_2, type, zip_tseitin2 : 'type/realax/real' > $o > $o).
4.61/4.82	tff(zf_stmt_3, axiom,
4.61/4.82	  (zip_tseitin2(A) =>
4.61/4.82	   ((![A0:'type/realax/real']:
4.61/4.82	       ((![A1:'type/realax/real']: zip_tseitin1(A1,A0,A)) =>
4.61/4.82	        'const/realax/real_le'(A0,'const/sets/inf'(A)))) & 
4.61/4.82	    (![A0:'type/realax/real']:
4.61/4.82	       ('const/sets/IN'('type/realax/real',A0,A) =>
4.61/4.82	        'const/realax/real_le'('const/sets/inf'(A),A0)))))).
4.61/4.82	tff(zf_stmt_4, type, zip_tseitin1 :
4.61/4.82	    ('type/realax/real' * 'type/realax/real' * 'type/realax/real' > $o) > $o).
4.61/4.82	tff(zf_stmt_5, axiom,
4.61/4.82	  (('const/sets/IN'('type/realax/real',A1,A) => 'const/realax/real_le'(A0,A1)) =>
4.61/4.82	   zip_tseitin1(A1,A0,A))).
4.61/4.82	tff(zf_stmt_6, type, zip_tseitin0 :
4.61/4.82	    ('type/realax/real' * 'type/realax/real' * 'type/realax/real' > $o) > $o).
4.61/4.82	tff(zf_stmt_7, axiom,
4.61/4.82	  (![A:('type/realax/real' > $o)]:
4.61/4.82	     (((?[A0:'type/realax/real']:
4.61/4.82	          (![A1:'type/realax/real']: zip_tseitin0(A1,A0,A))) & 
4.61/4.82	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
4.61/4.82	      zip_tseitin2(A)))).
4.61/4.82	tff('4', plain,
4.61/4.82	    ![X28 : 'type/realax/real' > $o, X29 : 'type/realax/real']:
4.61/4.82	      (zip_tseitin2(X28)
4.61/4.82	       | X28 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	       | ~ zip_tseitin0(sk_A12(X29, X28), X29, X28)),
4.61/4.82	    inference('cnf', [status(esa)], [zf_stmt_7])).
4.61/4.82	tff('5', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      (~ $true
4.61/4.82	       | 'const/realax/real_le'(sk_A13, sk_A12(X0, sk_A))
4.61/4.82	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	       | zip_tseitin2(sk_A)),
4.61/4.82	    inference('sup-', [status(thm)], ['3', '4'])).
4.61/4.82	tff('6', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      (zip_tseitin2(sk_A)
4.61/4.82	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	       | 'const/realax/real_le'(sk_A13, sk_A12(X0, sk_A))),
4.61/4.82	    inference('simplify', [status(thm)], ['5'])).
4.61/4.82	tff('7', plain,
4.61/4.82	    ![X21 : 'type/realax/real', X22 : 'type/realax/real', 
4.61/4.82	      X23 : 'type/realax/real' > $o]:
4.61/4.82	      (zip_tseitin0(X21, X22, X23) | ~ 'const/realax/real_le'(X22, X21)),
4.61/4.82	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.61/4.82	tff('8', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
4.61/4.82	      (~ $true
4.61/4.82	       | ~ 'const/realax/real_le'(X1, sk_A12(X1, X0))
4.61/4.82	       | X0 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	       | zip_tseitin2(X0)),
4.61/4.82	    inference('sup-', [status(thm)], ['7', '4'])).
4.61/4.82	tff('9', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
4.61/4.82	      (zip_tseitin2(X0)
4.61/4.82	       | X0 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	       | ~ 'const/realax/real_le'(X1, sk_A12(X1, X0))),
4.61/4.82	    inference('simplify', [status(thm)], ['8'])).
4.61/4.82	tff('10', plain,
4.61/4.82	    (~ $true
4.61/4.82	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	     | zip_tseitin2(sk_A)
4.61/4.82	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	     | zip_tseitin2(sk_A)),
4.61/4.82	    inference('sup-', [status(thm)], ['6', '9'])).
4.61/4.82	tff('11', plain,
4.61/4.82	    (zip_tseitin2(sk_A) | sk_A = 'const/sets/EMPTY'('type/realax/real')),
4.61/4.82	    inference('simplify', [status(thm)], ['10'])).
4.61/4.82	tff('thm/sets/REAL_LE_INF_', axiom,
4.61/4.82	  (![A:('type/realax/real' > $o),A0:'type/realax/real']:
4.61/4.82	     (((![A1:'type/realax/real']:
4.61/4.82	          ('const/sets/IN'('type/realax/real',A1,A) =>
4.61/4.82	           'const/realax/real_le'(A0,A1))) & 
4.61/4.82	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
4.61/4.82	      'const/realax/real_le'(A0,'const/sets/inf'(A))))).
4.61/4.82	tff('12', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
4.61/4.82	      (X0 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	       | 'const/sets/IN'('type/realax/real', sk_A1(X1, X0), X0)
4.61/4.82	       | 'const/realax/real_le'(X1, 'const/sets/inf'(X0))),
4.61/4.82	    inference('cnf', [status(esa)], [thm/sets/REAL_LE_INF_])).
4.61/4.82	tff('13', plain, 'const/sets/SUBSET'('type/realax/real', sk_A0, sk_A),
4.61/4.82	    inference('cnf', [status(esa)], [zf_stmt_1])).
4.61/4.82	tff('thm/sets/SUBSET_', axiom,
4.61/4.82	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
4.61/4.82	     ('const/sets/SUBSET'(A,A0,A1) <=>
4.61/4.82	      (![A2:A]: ('const/sets/IN'(A,A2,A0) => 'const/sets/IN'(A,A2,A1)))))).
4.61/4.82	tff('14', plain,
4.61/4.82	    ![X16 : $tType, X17 : X16, X18 : X16 > $o, X19 : X16 > $o]:
4.61/4.82	      (~ 'const/sets/IN'(X16, X17, X18)
4.61/4.82	       | 'const/sets/IN'(X16, X17, X19)
4.61/4.82	       | ~ 'const/sets/SUBSET'(X16, X18, X19)),
4.61/4.82	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
4.61/4.82	tff('15', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      (~ $true
4.61/4.82	       | 'const/sets/IN'('type/realax/real', X0, sk_A)
4.61/4.82	       | ~ 'const/sets/IN'('type/realax/real', X0, sk_A0)),
4.61/4.82	    inference('sup-', [status(thm)], ['13', '14'])).
4.61/4.82	tff('16', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      (~ 'const/sets/IN'('type/realax/real', X0, sk_A0)
4.61/4.82	       | 'const/sets/IN'('type/realax/real', X0, sk_A)),
4.61/4.82	    inference('simplify', [status(thm)], ['15'])).
4.61/4.82	tff('17', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      (~ $true
4.61/4.82	       | 'const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))
4.61/4.82	       | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	       | 'const/sets/IN'('type/realax/real', sk_A1(X0, sk_A0), sk_A)),
4.61/4.82	    inference('sup-', [status(thm)], ['12', '16'])).
4.61/4.82	tff('18', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      ('const/sets/IN'('type/realax/real', sk_A1(X0, sk_A0), sk_A)
4.61/4.82	       | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	       | 'const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))),
4.61/4.82	    inference('simplify', [status(thm)], ['17'])).
4.61/4.82	tff('19', plain,
4.61/4.82	    ![X23 : 'type/realax/real' > $o, X27 : 'type/realax/real']:
4.61/4.82	      (~ 'const/sets/IN'('type/realax/real', X27, X23)
4.61/4.82	       | 'const/realax/real_le'('const/sets/inf'(X23), X27)
4.61/4.82	       | ~ zip_tseitin2(X23)),
4.61/4.82	    inference('cnf', [status(esa)], [zf_stmt_3])).
4.61/4.82	tff('20', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
4.61/4.82	      (X0 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	       | ~ 'const/realax/real_le'(X1, sk_A1(X1, X0))
4.61/4.82	       | 'const/realax/real_le'(X1, 'const/sets/inf'(X0))),
4.61/4.82	    inference('cnf', [status(esa)], [thm/sets/REAL_LE_INF_])).
4.61/4.82	tff('21', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real' > $o]:
4.61/4.82	      (~ $true
4.61/4.82	       | ~ zip_tseitin2(X1)
4.61/4.82	       | ~ 'const/sets/IN'('type/realax/real', 
4.61/4.82	             sk_A1('const/sets/inf'(X1), X0), X1)
4.61/4.82	       | 'const/realax/real_le'('const/sets/inf'(X1), 'const/sets/inf'(X0))
4.61/4.82	       | X0 = 'const/sets/EMPTY'('type/realax/real')),
4.61/4.82	    inference('sup-', [status(thm)], ['19', '20'])).
4.61/4.82	tff('22', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real' > $o]:
4.61/4.82	      (X0 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	       | 'const/realax/real_le'('const/sets/inf'(X1), 'const/sets/inf'(X0))
4.61/4.82	       | ~ 'const/sets/IN'('type/realax/real', 
4.61/4.82	             sk_A1('const/sets/inf'(X1), X0), X1)
4.61/4.82	       | ~ zip_tseitin2(X1)),
4.61/4.82	    inference('simplify', [status(thm)], ['21'])).
4.61/4.82	tff('23', plain,
4.61/4.82	    (~ $true
4.61/4.82	     | 'const/realax/real_le'('const/sets/inf'(sk_A), 
4.61/4.82	         'const/sets/inf'(sk_A0))
4.61/4.82	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	     | ~ zip_tseitin2(sk_A)
4.61/4.82	     | 'const/realax/real_le'('const/sets/inf'(sk_A), 
4.61/4.82	         'const/sets/inf'(sk_A0))
4.61/4.82	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')),
4.61/4.82	    inference('sup-', [status(thm)], ['18', '22'])).
4.61/4.82	tff('24', plain,
4.61/4.82	    (~ zip_tseitin2(sk_A)
4.61/4.82	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	     | 'const/realax/real_le'('const/sets/inf'(sk_A), 
4.61/4.82	         'const/sets/inf'(sk_A0))),
4.61/4.82	    inference('simplify', [status(thm)], ['23'])).
4.61/4.82	tff('25', plain,
4.61/4.82	    ~ 'const/realax/real_le'('const/sets/inf'(sk_A), 'const/sets/inf'(sk_A0)),
4.61/4.82	    inference('cnf', [status(esa)], [zf_stmt_1])).
4.61/4.82	tff('26', plain,
4.61/4.82	    (sk_A0 = 'const/sets/EMPTY'('type/realax/real') | ~ zip_tseitin2(sk_A)),
4.61/4.82	    inference('clc', [status(thm)], ['24', '25'])).
4.61/4.82	tff('27', plain,
4.61/4.82	    (~ $true
4.61/4.82	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')),
4.61/4.82	    inference('sup-', [status(thm)], ['11', '26'])).
4.61/4.82	tff('28', plain,
4.61/4.82	    (sk_A0 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
4.61/4.82	    inference('simplify', [status(thm)], ['27'])).
4.61/4.82	tff('29', plain,
4.61/4.82	    (sk_A0 != sk_A | sk_A = 'const/sets/EMPTY'('type/realax/real')),
4.61/4.82	    inference('eq_fact', [status(thm)], ['28'])).
4.61/4.82	tff('30', plain,
4.61/4.82	    (sk_A0('#k14') != sk_A('#k14')
4.61/4.82	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
4.61/4.82	    inference('rw_lit', [status(thm)], ['29'])).
4.61/4.82	tff('31', plain,
4.61/4.82	    ![X23 : 'type/realax/real' > $o, X24 : 'type/realax/real', 
4.61/4.82	      X25 : 'type/realax/real']:
4.61/4.82	      (zip_tseitin1(X24, X25, X23)
4.61/4.82	       | 'const/sets/IN'('type/realax/real', X24, X23)),
4.61/4.82	    inference('cnf', [status(esa)], [zf_stmt_5])).
4.61/4.82	tff('32', plain,
4.61/4.82	    ![X23 : 'type/realax/real' > $o, X26 : 'type/realax/real']:
4.61/4.82	      (~ zip_tseitin1(sk_A11(X26, X23), X26, X23)
4.61/4.82	       | 'const/realax/real_le'(X26, 'const/sets/inf'(X23))
4.61/4.82	       | ~ zip_tseitin2(X23)),
4.61/4.82	    inference('cnf', [status(esa)], [zf_stmt_3])).
4.61/4.82	tff('33', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
4.61/4.82	      (~ $true
4.61/4.82	       | 'const/sets/IN'('type/realax/real', sk_A11(X1, X0), X0)
4.61/4.82	       | ~ zip_tseitin2(X0)
4.61/4.82	       | 'const/realax/real_le'(X1, 'const/sets/inf'(X0))),
4.61/4.82	    inference('sup-', [status(thm)], ['31', '32'])).
4.61/4.82	tff('34', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
4.61/4.82	      ('const/realax/real_le'(X1, 'const/sets/inf'(X0))
4.61/4.82	       | ~ zip_tseitin2(X0)
4.61/4.82	       | 'const/sets/IN'('type/realax/real', sk_A11(X1, X0), X0)),
4.61/4.82	    inference('simplify', [status(thm)], ['33'])).
4.61/4.82	tff('35', plain,
4.61/4.82	    ![X16 : $tType, X18 : X16 > $o, X20 : X16 > $o]:
4.61/4.82	      ('const/sets/SUBSET'(X16, X18, X20)
4.61/4.82	       | 'const/sets/IN'(X16, sk_A21(X16, X20, X18), X18)),
4.61/4.82	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
4.61/4.82	tff('36', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o]:
4.61/4.82	      (~ $true
4.61/4.82	       | 'const/sets/SUBSET'('type/realax/real', sk_A0, X0)
4.61/4.82	       | 'const/sets/IN'('type/realax/real', 
4.61/4.82	           sk_A21('type/realax/real', X0, sk_A0), sk_A)),
4.61/4.82	    inference('sup-', [status(thm)], ['35', '16'])).
4.61/4.82	tff('37', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o]:
4.61/4.82	      ('const/sets/IN'('type/realax/real', 
4.61/4.82	         sk_A21('type/realax/real', X0, sk_A0), sk_A)
4.61/4.82	       | 'const/sets/SUBSET'('type/realax/real', sk_A0, X0)),
4.61/4.82	    inference('simplify', [status(thm)], ['36'])).
4.61/4.82	tff('38', plain,
4.61/4.82	    ![X16 : $tType, X18 : X16 > $o, X20 : X16 > $o]:
4.61/4.82	      ('const/sets/SUBSET'(X16, X18, X20)
4.61/4.82	       | ~ 'const/sets/IN'(X16, sk_A21(X16, X20, X18), X20)),
4.61/4.82	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
4.61/4.82	tff('39', plain,
4.61/4.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
4.61/4.82	      (~ $true
4.61/4.82	       | ~ 'const/sets/SUBSET'(X0, X3, X1)
4.61/4.82	       | ~ 'const/sets/IN'(X0, sk_A21(X0, X1, X2), X3)
4.61/4.82	       | 'const/sets/SUBSET'(X0, X2, X1)),
4.61/4.82	    inference('sup-', [status(thm)], ['14', '38'])).
4.61/4.82	tff('40', plain,
4.61/4.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
4.61/4.82	      ('const/sets/SUBSET'(X0, X2, X1)
4.61/4.82	       | ~ 'const/sets/IN'(X0, sk_A21(X0, X1, X2), X3)
4.61/4.82	       | ~ 'const/sets/SUBSET'(X0, X3, X1)),
4.61/4.82	    inference('simplify', [status(thm)], ['39'])).
4.61/4.82	tff('41', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o]:
4.61/4.82	      (~ $true
4.61/4.82	       | 'const/sets/SUBSET'('type/realax/real', sk_A0, X0)
4.61/4.82	       | ~ 'const/sets/SUBSET'('type/realax/real', sk_A, X0)
4.61/4.82	       | 'const/sets/SUBSET'('type/realax/real', sk_A0, X0)),
4.61/4.82	    inference('sup-', [status(thm)], ['37', '40'])).
4.61/4.82	tff('42', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o]:
4.61/4.82	      (~ 'const/sets/SUBSET'('type/realax/real', sk_A, X0)
4.61/4.82	       | 'const/sets/SUBSET'('type/realax/real', sk_A0, X0)),
4.61/4.82	    inference('simplify', [status(thm)], ['41'])).
4.61/4.82	tff('thm/sets/NOT_IN_EMPTY_', axiom,
4.61/4.82	  (![A:$tType,A0:A]: (~'const/sets/IN'(A,A0,'const/sets/EMPTY'(A))))).
4.61/4.82	tff('43', plain,
4.61/4.82	    ![X8 : $tType, X9 : X8]:
4.61/4.82	      ~ 'const/sets/IN'(X8, X9, 'const/sets/EMPTY'(X8)),
4.61/4.82	    inference('cnf', [status(esa)], [thm/sets/NOT_IN_EMPTY_])).
4.61/4.82	tff('44', plain,
4.61/4.82	    ![X0 : $tType, X1 : X0, X2 : X0 > $o]:
4.61/4.82	      (~ $true
4.61/4.82	       | ~ 'const/sets/SUBSET'(X0, X2, 'const/sets/EMPTY'(X0))
4.61/4.82	       | ~ 'const/sets/IN'(X0, X1, X2)),
4.61/4.82	    inference('sup-', [status(thm)], ['14', '43'])).
4.61/4.82	tff('45', plain,
4.61/4.82	    ![X0 : $tType, X1 : X0, X2 : X0 > $o]:
4.61/4.82	      (~ 'const/sets/IN'(X0, X1, X2)
4.61/4.82	       | ~ 'const/sets/SUBSET'(X0, X2, 'const/sets/EMPTY'(X0))),
4.61/4.82	    inference('simplify', [status(thm)], ['44'])).
4.61/4.82	tff('46', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      (~ $true
4.61/4.82	       | ~ 'const/sets/SUBSET'('type/realax/real', sk_A, 
4.61/4.82	             'const/sets/EMPTY'('type/realax/real'))
4.61/4.82	       | ~ 'const/sets/IN'('type/realax/real', X0, sk_A0)),
4.61/4.82	    inference('sup-', [status(thm)], ['42', '45'])).
4.61/4.82	tff('47', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      (~ 'const/sets/IN'('type/realax/real', X0, sk_A0)
4.61/4.82	       | ~ 'const/sets/SUBSET'('type/realax/real', sk_A, 
4.61/4.82	             'const/sets/EMPTY'('type/realax/real'))),
4.61/4.82	    inference('simplify', [status(thm)], ['46'])).
4.61/4.82	tff('48', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      (~ $true
4.61/4.82	       | ~ zip_tseitin2(sk_A0)
4.61/4.82	       | 'const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))
4.61/4.82	       | ~ 'const/sets/SUBSET'('type/realax/real', sk_A, 
4.61/4.82	             'const/sets/EMPTY'('type/realax/real'))),
4.61/4.82	    inference('sup-', [status(thm)], ['34', '47'])).
4.61/4.82	tff('49', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      (~ 'const/sets/SUBSET'('type/realax/real', sk_A, 
4.61/4.82	           'const/sets/EMPTY'('type/realax/real'))
4.61/4.82	       | 'const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))
4.61/4.82	       | ~ zip_tseitin2(sk_A0)),
4.61/4.82	    inference('simplify', [status(thm)], ['48'])).
4.61/4.82	tff('thm/sets/IN_', axiom,
4.61/4.82	  (![A:$tType,P:(A > $o),A0:A]: ('const/sets/IN'(A,A0,P) <=> P(A0)))).
4.61/4.82	tff('50', plain,
4.61/4.82	    ![X4 : $tType, X5 : X4 > $o, X6 : X4]:
4.61/4.82	      (X5(X6) | ~ 'const/sets/IN'(X4, X6, X5)),
4.61/4.82	    inference('cnf', [status(esa)], [thm/sets/IN_])).
4.61/4.82	tff('51', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real', 
4.61/4.82	      X2 : 'type/realax/real']: (~ $true | zip_tseitin0(X1, X2, X0) | X0(X1)),
4.61/4.82	    inference('sup-', [status(thm)], ['0', '50'])).
4.61/4.82	tff('52', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real', 
4.61/4.82	      X2 : 'type/realax/real']: (X0(X1) | zip_tseitin0(X1, X2, X0)),
4.61/4.82	    inference('simplify', [status(thm)], ['51'])).
4.61/4.82	tff('53', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
4.61/4.82	      (~ $true
4.61/4.82	       | X0(sk_A12(X1, X0))
4.61/4.82	       | X0 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	       | zip_tseitin2(X0)),
4.61/4.82	    inference('sup-', [status(thm)], ['52', '4'])).
4.61/4.82	tff('54', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
4.61/4.82	      (zip_tseitin2(X0)
4.61/4.82	       | X0 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	       | X0(sk_A12(X1, X0))),
4.61/4.82	    inference('simplify', [status(thm)], ['53'])).
4.61/4.82	tff('55', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real', 
4.61/4.82	      X2 : 'type/realax/real']:
4.61/4.82	      (X0(X2) = 'const/sets/EMPTY'('type/realax/real', X2)
4.61/4.82	       | X0(sk_A12(X1, X0))
4.61/4.82	       | zip_tseitin2(X0)),
4.61/4.82	    inference('ho_complete_eq', [status(thm)], ['54'])).
4.61/4.82	tff('56', plain, sk_A0 != 'const/sets/EMPTY'('type/realax/real'),
4.61/4.82	    inference('cnf', [status(esa)], [zf_stmt_1])).
4.61/4.82	tff('57', plain,
4.61/4.82	    sk_A0('#k1') != 'const/sets/EMPTY'('type/realax/real', '#k1'),
4.61/4.82	    inference('rw_lit', [status(thm)], ['56'])).
4.61/4.82	tff('58', plain,
4.61/4.82	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real']:
4.61/4.82	      (sk_A0('#k1') != X0('#k1') | zip_tseitin2(X0) | X0(sk_A12(X1, X0))),
4.61/4.82	    inference('sup-', [status(thm)], ['55', '57'])).
4.61/4.82	tff('59', plain,
4.61/4.82	    ![X4 : $tType, X5 : X4 > $o, X7 : X4]:
4.61/4.82	      ('const/sets/IN'(X4, X7, X5) | ~ X5(X7)),
4.61/4.82	    inference('cnf', [status(esa)], [thm/sets/IN_])).
4.61/4.82	tff('60', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      (~ $true | ~ sk_A0(X0) | 'const/sets/IN'('type/realax/real', X0, sk_A)),
4.61/4.82	    inference('sup-', [status(thm)], ['59', '16'])).
4.61/4.82	tff('61', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      ('const/sets/IN'('type/realax/real', X0, sk_A) | ~ sk_A0(X0)),
4.61/4.82	    inference('simplify', [status(thm)], ['60'])).
4.61/4.82	tff('62', plain,
4.61/4.82	    ![X0 : 'type/realax/real']: (~ $true | ~ sk_A0(X0) | sk_A(X0)),
4.61/4.82	    inference('sup-', [status(thm)], ['61', '50'])).
4.61/4.82	tff('63', plain, ![X0 : 'type/realax/real']: (sk_A(X0) | ~ sk_A0(X0)),
4.61/4.82	    inference('simplify', [status(thm)], ['62'])).
4.61/4.82	tff('64', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      (~ $true
4.61/4.82	       | zip_tseitin2(sk_A0)
4.61/4.82	       | sk_A0('#k1') != sk_A0('#k1')
4.61/4.82	       | sk_A(sk_A12(X0, sk_A0))),
4.61/4.82	    inference('sup-', [status(thm)], ['58', '63'])).
4.61/4.82	tff('65', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      (sk_A(sk_A12(X0, sk_A0)) | zip_tseitin2(sk_A0)),
4.61/4.82	    inference('simplify', [status(thm)], ['64'])).
4.61/4.82	tff('66', plain,
4.61/4.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
4.61/4.82	      (~ $true
4.61/4.82	       | ~ X1(X2)
4.61/4.82	       | ~ 'const/sets/SUBSET'(X0, X1, 'const/sets/EMPTY'(X0))),
4.61/4.82	    inference('sup-', [status(thm)], ['59', '45'])).
4.61/4.82	tff('67', plain,
4.61/4.82	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
4.61/4.82	      (~ 'const/sets/SUBSET'(X0, X1, 'const/sets/EMPTY'(X0)) | ~ X1(X2)),
4.61/4.82	    inference('simplify', [status(thm)], ['66'])).
4.61/4.82	tff('68', plain,
4.61/4.82	    (~ $true
4.61/4.82	     | zip_tseitin2(sk_A0)
4.61/4.82	     | ~ 'const/sets/SUBSET'('type/realax/real', sk_A, 
4.61/4.82	           'const/sets/EMPTY'('type/realax/real'))),
4.61/4.82	    inference('sup-', [status(thm)], ['65', '67'])).
4.61/4.82	tff('69', plain,
4.61/4.82	    (~ 'const/sets/SUBSET'('type/realax/real', sk_A, 
4.61/4.82	         'const/sets/EMPTY'('type/realax/real'))
4.61/4.82	     | zip_tseitin2(sk_A0)),
4.61/4.82	    inference('simplify', [status(thm)], ['68'])).
4.61/4.82	tff('70', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      ('const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))
4.61/4.82	       | ~ 'const/sets/SUBSET'('type/realax/real', sk_A, 
4.61/4.82	             'const/sets/EMPTY'('type/realax/real'))),
4.61/4.82	    inference('clc', [status(thm)], ['49', '69'])).
4.61/4.82	tff('71', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      (~ 'const/sets/SUBSET'('type/realax/real', sk_A, sk_A)
4.61/4.82	       | sk_A0('#k14') != sk_A('#k14')
4.61/4.82	       | 'const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))),
4.61/4.82	    inference('sup-', [status(thm)], ['30', '70'])).
4.61/4.82	tff('72', plain,
4.61/4.82	    ![X0 : $tType, X1 : X0 > $o]:
4.61/4.82	      (~ $true
4.61/4.82	       | 'const/sets/SUBSET'(X0, X1, X1)
4.61/4.82	       | 'const/sets/SUBSET'(X0, X1, X1)),
4.61/4.82	    inference('sup-', [status(thm)], ['35', '38'])).
4.61/4.82	tff('73', plain,
4.61/4.82	    ![X0 : $tType, X1 : X0 > $o]: 'const/sets/SUBSET'(X0, X1, X1),
4.61/4.82	    inference('simplify', [status(thm)], ['72'])).
4.61/4.82	tff('74', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      (~ $true
4.61/4.82	       | sk_A0('#k14') != sk_A('#k14')
4.61/4.82	       | 'const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))),
4.61/4.82	    inference('demod', [status(thm)], ['71', '73'])).
4.61/4.82	tff('75', plain,
4.61/4.82	    ![X0 : 'type/realax/real']:
4.61/4.82	      ('const/realax/real_le'(X0, 'const/sets/inf'(sk_A0))
4.61/4.82	       | sk_A0('#k14') != sk_A('#k14')),
4.61/4.82	    inference('simplify', [status(thm)], ['74'])).
4.61/4.82	tff('76', plain, (~ $true | sk_A0('#k14') != sk_A('#k14')),
4.61/4.82	    inference('sup-', [status(thm)], ['75', '25'])).
4.61/4.82	tff('77', plain, sk_A0('#k14') != sk_A('#k14'),
4.61/4.82	    inference('simplify', [status(thm)], ['76'])).
4.61/4.82	tff('thm/sets/EXTENSION_', axiom,
4.61/4.82	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
4.61/4.82	     ((A0 = A1) <=>
4.61/4.82	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
4.61/4.82	tff('78', plain,
4.61/4.82	    ![X10 : $tType, X13 : X10 > $o, X15 : X10 > $o]:
4.61/4.82	      (X13 = X15
4.61/4.82	       | 'const/sets/IN'(X10, sk_A2(X10, X15, X13), X15)
4.61/4.82	       | 'const/sets/IN'(X10, sk_A2(X10, X15, X13), X13)),
4.61/4.82	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
4.61/4.82	tff('79', plain,
4.61/4.82	    ![X0 : $tType, X1 : X0 > $o]:
4.61/4.82	      (~ $true
4.61/4.82	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/EMPTY'(X0), X1), X1)
4.61/4.82	       | X1 = 'const/sets/EMPTY'(X0)),
4.61/4.82	    inference('sup-', [status(thm)], ['78', '43'])).
4.61/4.82	tff('80', plain,
4.61/4.82	    ![X0 : $tType, X1 : X0 > $o]:
4.61/4.82	      (X1 = 'const/sets/EMPTY'(X0)
4.61/4.82	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/EMPTY'(X0), X1), X1)),
4.61/4.82	    inference('simplify', [status(thm)], ['79'])).
4.61/4.82	tff('81', plain,
4.61/4.82	    ![X0 : $tType, X1 : X0 > $o]:
4.61/4.82	      (~ $true
4.61/4.82	       | X1 = 'const/sets/EMPTY'(X0)
4.61/4.82	       | X1(sk_A2(X0, 'const/sets/EMPTY'(X0), X1))),
4.61/4.82	    inference('sup-', [status(thm)], ['80', '50'])).
4.61/4.82	tff('82', plain,
4.61/4.82	    ![X0 : $tType, X1 : X0 > $o]:
4.61/4.82	      (X1(sk_A2(X0, 'const/sets/EMPTY'(X0), X1))
4.61/4.82	       | X1 = 'const/sets/EMPTY'(X0)),
4.61/4.82	    inference('simplify', [status(thm)], ['81'])).
4.61/4.82	tff('83', plain,
4.61/4.82	    (~ $true
4.61/4.82	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	     | sk_A(
4.61/4.82	         sk_A2('type/realax/real', 'const/sets/EMPTY'('type/realax/real'), 
4.61/4.82	           sk_A0))),
4.61/4.82	    inference('sup-', [status(thm)], ['82', '63'])).
4.61/4.82	tff('84', plain,
4.61/4.82	    (sk_A(
4.61/4.82	       sk_A2('type/realax/real', 'const/sets/EMPTY'('type/realax/real'), 
4.61/4.82	         sk_A0))
4.61/4.82	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')),
4.61/4.82	    inference('simplify', [status(thm)], ['83'])).
4.61/4.82	tff('85', plain,
4.61/4.82	    (~ $true
4.61/4.82	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')
4.61/4.82	     | ~ 'const/sets/SUBSET'('type/realax/real', sk_A, 
4.61/4.82	           'const/sets/EMPTY'('type/realax/real'))),
4.61/4.82	    inference('sup-', [status(thm)], ['84', '67'])).
4.61/4.82	tff('86', plain,
4.61/4.82	    (~ 'const/sets/SUBSET'('type/realax/real', sk_A, 
4.61/4.82	         'const/sets/EMPTY'('type/realax/real'))
4.61/4.82	     | sk_A0 = 'const/sets/EMPTY'('type/realax/real')),
4.61/4.82	    inference('simplify', [status(thm)], ['85'])).
4.61/4.82	tff('87', plain,
4.61/4.82	    ![X1 : 'type/realax/real']:
4.61/4.82	      (sk_A0(X1) = 'const/sets/EMPTY'('type/realax/real', X1)
4.61/4.82	       | sk_A = 'const/sets/EMPTY'('type/realax/real')),
4.61/4.82	    inference('ho_complete_eq', [status(thm)], ['28'])).
4.61/4.82	tff('88', plain,
4.61/4.82	    (sk_A0('#k1') != sk_A0('#k1')
4.61/4.82	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
4.61/4.82	    inference('sup-', [status(thm)], ['87', '57'])).
4.61/4.82	tff('89', plain, sk_A = 'const/sets/EMPTY'('type/realax/real'),
4.61/4.82	    inference('simplify', [status(thm)], ['88'])).
4.61/4.82	tff('90', plain, (~ $true | sk_A0 = sk_A),
4.61/4.82	    inference('demod', [status(thm)], ['86', '89', '73', '89'])).
4.61/4.82	tff('91', plain, sk_A0 = sk_A, inference('simplify', [status(thm)], ['90'])).
4.61/4.82	tff('92', plain, ![X1 : 'type/realax/real']: sk_A0(X1) = sk_A(X1),
4.61/4.82	    inference('ho_complete_eq', [status(thm)], ['91'])).
4.61/4.82	tff('93', plain, sk_A('#k14') != sk_A('#k14'),
4.61/4.82	    inference('demod', [status(thm)], ['77', '92'])).
4.61/4.82	tff('94', plain, $false, inference('simplify', [status(thm)], ['93'])).
4.61/4.82	
4.61/4.82	% SZS output end Refutation
4.61/4.82	EOF
