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    : purification_ext
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	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
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   : n115.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
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:44:24 CST 2018
0.00/0.48	% done 164 iterations in 0.283s
0.00/0.48	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.48	% SZS output start Refutation
0.00/0.49	tff('thm/sets/REAL_ABS_INF_LE_', conjecture,
0.00/0.49	  (![A:('type/realax/real' > $o),A0:'type/realax/real']:
0.00/0.49	     (((![A1:'type/realax/real']:
0.00/0.49	          ('const/sets/IN'('type/realax/real',A1,A) =>
0.00/0.49	           'const/realax/real_le'('const/realax/real_abs'(A1),A0))) & 
0.00/0.49	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.49	      'const/realax/real_le'('const/realax/real_abs'('const/sets/inf'(A)),A0)))).
0.00/0.49	tff(zf_stmt_0, negated_conjecture,
0.00/0.49	  (~
0.00/0.49	    (![A:('type/realax/real' > $o),A0:'type/realax/real']:
0.00/0.49	       (((![A1:'type/realax/real']:
0.00/0.49	            ('const/sets/IN'('type/realax/real',A1,A) =>
0.00/0.49	             'const/realax/real_le'('const/realax/real_abs'(A1),A0))) & 
0.00/0.49	         (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.49	        'const/realax/real_le'('const/realax/real_abs'('const/sets/inf'(A)),
0.00/0.49	                               A0))))).
0.00/0.49	tff('0', plain, sk_A != 'const/sets/EMPTY'('type/realax/real'),
0.00/0.49	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.49	tff('1', plain, sk_A('#k1') != 'const/sets/EMPTY'('type/realax/real', '#k1'),
0.00/0.49	    inference('rw_lit', [status(thm)], ['0'])).
0.00/0.49	tff('thm/sets/REAL_INF_BOUNDS_', axiom,
0.00/0.49	  (![A:('type/realax/real' > $o),A0:'type/realax/real',A1:'type/realax/real']:
0.00/0.49	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.49	       (![A2:'type/realax/real']:
0.00/0.49	          ('const/sets/IN'('type/realax/real',A2,A) =>
0.00/0.49	           ('const/realax/real_le'(A0,A2) & 'const/realax/real_le'(A2,A1))))) =>
0.00/0.49	      ('const/realax/real_le'(A0,'const/sets/inf'(A)) & 
0.00/0.49	       'const/realax/real_le'('const/sets/inf'(A),A1))))).
0.00/0.49	tff(zf_stmt_1, axiom,
0.00/0.49	  (('const/sets/IN'('type/realax/real',A2,A) =>
0.00/0.49	    ('const/realax/real_le'(A2,A1) & 'const/realax/real_le'(A0,A2))) =>
0.00/0.49	   zip_tseitin0(A2,A1,A0,A))).
0.00/0.49	tff('2', plain,
0.00/0.49	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.49	      X2 : 'type/realax/real', X3 : 'type/realax/real' > $o]:
0.00/0.49	      (zip_tseitin0(X0, X1, X2, X3)
0.00/0.49	       | 'const/sets/IN'('type/realax/real', X0, X3)),
0.00/0.49	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.49	tff('3', plain,
0.00/0.49	    ![X10 : 'type/realax/real']:
0.00/0.49	      ('const/realax/real_le'('const/realax/real_abs'(X10), sk_A0)
0.00/0.49	       | ~ 'const/sets/IN'('type/realax/real', X10, sk_A)),
0.00/0.49	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.49	tff('4', plain,
0.00/0.49	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.49	      X2 : 'type/realax/real']:
0.00/0.49	      (~ $true
0.00/0.49	       | zip_tseitin0(X0, X2, X1, sk_A)
0.00/0.49	       | 'const/realax/real_le'('const/realax/real_abs'(X0), sk_A0)),
0.00/0.49	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.49	tff('5', plain,
0.00/0.49	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.49	      X2 : 'type/realax/real']:
0.00/0.49	      ('const/realax/real_le'('const/realax/real_abs'(X0), sk_A0)
0.00/0.49	       | zip_tseitin0(X0, X2, X1, sk_A)),
0.00/0.49	    inference('simplify', [status(thm)], ['4'])).
0.00/0.49	tff('thm/real/REAL_ABS_BOUNDS_', axiom,
0.00/0.49	  (![A:'type/realax/real',A0:'type/realax/real']:
0.00/0.49	     ('const/realax/real_le'('const/realax/real_abs'(A),A0) <=>
0.00/0.49	      ('const/realax/real_le'(A,A0) & 
0.00/0.49	       'const/realax/real_le'('const/realax/real_neg'(A0),A))))).
0.00/0.49	tff('6', plain,
0.00/0.49	    ![X7 : 'type/realax/real', X8 : 'type/realax/real']:
0.00/0.49	      ('const/realax/real_le'('const/realax/real_neg'(X8), X7)
0.00/0.49	       | ~ 'const/realax/real_le'('const/realax/real_abs'(X7), X8)),
0.00/0.49	    inference('cnf', [status(esa)], [thm/real/REAL_ABS_BOUNDS_])).
0.00/0.49	tff('7', plain,
0.00/0.49	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.49	      X2 : 'type/realax/real']:
0.00/0.49	      (~ $true
0.00/0.49	       | zip_tseitin0(X0, X2, X1, sk_A)
0.00/0.49	       | 'const/realax/real_le'('const/realax/real_neg'(sk_A0), X0)),
0.00/0.49	    inference('sup-', [status(thm)], ['5', '6'])).
0.00/0.49	tff('8', plain,
0.00/0.49	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.49	      X2 : 'type/realax/real']:
0.00/0.49	      ('const/realax/real_le'('const/realax/real_neg'(sk_A0), X0)
0.00/0.49	       | zip_tseitin0(X0, X2, X1, sk_A)),
0.00/0.49	    inference('simplify', [status(thm)], ['7'])).
0.00/0.49	tff(zf_stmt_2, type, zip_tseitin1 :
0.00/0.49	    ('type/realax/real' * 'type/realax/real' * 'type/realax/real' > $o) > $o).
0.00/0.49	tff(zf_stmt_3, axiom,
0.00/0.49	  (zip_tseitin1(A1,A0,A) =>
0.00/0.49	   ('const/realax/real_le'('const/sets/inf'(A),A1) & 
0.00/0.49	    'const/realax/real_le'(A0,'const/sets/inf'(A))))).
0.00/0.49	tff(zf_stmt_4, type, zip_tseitin0 :
0.00/0.49	    ('type/realax/real' * 
0.00/0.49	     'type/realax/real' * 
0.00/0.49	     'type/realax/real' * 
0.00/0.49	     'type/realax/real' > $o) > $o).
0.00/0.49	tff(zf_stmt_5, axiom,
0.00/0.49	  (![A:('type/realax/real' > $o),A0:'type/realax/real',A1:'type/realax/real']:
0.00/0.49	     (((![A2:'type/realax/real']: zip_tseitin0(A2,A1,A0,A)) & 
0.00/0.49	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.49	      zip_tseitin1(A1,A0,A)))).
0.00/0.49	tff('9', plain,
0.00/0.49	    ![X4 : 'type/realax/real' > $o, X5 : 'type/realax/real', 
0.00/0.49	      X6 : 'type/realax/real']:
0.00/0.49	      (X4 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.49	       | ~ zip_tseitin0(sk_A2(X5, X6, X4), X5, X6, X4)
0.00/0.49	       | zip_tseitin1(X5, X6, X4)),
0.00/0.49	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.49	tff('10', plain,
0.00/0.49	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.00/0.49	      (~ $true
0.00/0.49	       | 'const/realax/real_le'('const/realax/real_neg'(sk_A0), 
0.00/0.49	           sk_A2(X1, X0, sk_A))
0.00/0.49	       | zip_tseitin1(X1, X0, sk_A)
0.00/0.49	       | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.49	    inference('sup-', [status(thm)], ['8', '9'])).
0.00/0.49	tff('11', plain,
0.00/0.49	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.00/0.49	      (sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.49	       | zip_tseitin1(X1, X0, sk_A)
0.00/0.49	       | 'const/realax/real_le'('const/realax/real_neg'(sk_A0), 
0.00/0.49	           sk_A2(X1, X0, sk_A))),
0.00/0.49	    inference('simplify', [status(thm)], ['10'])).
0.00/0.49	tff('12', plain,
0.00/0.49	    ![X7 : 'type/realax/real', X8 : 'type/realax/real']:
0.00/0.49	      ('const/realax/real_le'(X7, X8)
0.00/0.49	       | ~ 'const/realax/real_le'('const/realax/real_abs'(X7), X8)),
0.00/0.49	    inference('cnf', [status(esa)], [thm/real/REAL_ABS_BOUNDS_])).
0.00/0.49	tff('13', plain,
0.00/0.49	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.49	      X2 : 'type/realax/real']:
0.00/0.49	      (~ $true
0.00/0.49	       | zip_tseitin0(X0, X2, X1, sk_A)
0.00/0.49	       | 'const/realax/real_le'(X0, sk_A0)),
0.00/0.49	    inference('sup-', [status(thm)], ['5', '12'])).
0.00/0.49	tff('14', plain,
0.00/0.49	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.49	      X2 : 'type/realax/real']:
0.00/0.49	      ('const/realax/real_le'(X0, sk_A0) | zip_tseitin0(X0, X2, X1, sk_A)),
0.00/0.49	    inference('simplify', [status(thm)], ['13'])).
0.00/0.49	tff('15', plain,
0.00/0.49	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.00/0.49	      (~ $true
0.00/0.49	       | 'const/realax/real_le'(sk_A2(X1, X0, sk_A), sk_A0)
0.00/0.49	       | zip_tseitin1(X1, X0, sk_A)
0.00/0.49	       | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.49	    inference('sup-', [status(thm)], ['14', '9'])).
0.00/0.49	tff('16', plain,
0.00/0.49	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.00/0.49	      (sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.49	       | zip_tseitin1(X1, X0, sk_A)
0.00/0.49	       | 'const/realax/real_le'(sk_A2(X1, X0, sk_A), sk_A0)),
0.00/0.49	    inference('simplify', [status(thm)], ['15'])).
0.00/0.49	tff('17', plain,
0.00/0.49	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.49	      X2 : 'type/realax/real', X3 : 'type/realax/real' > $o]:
0.00/0.49	      (zip_tseitin0(X0, X1, X2, X3)
0.00/0.49	       | ~ 'const/realax/real_le'(X0, X1)
0.00/0.49	       | ~ 'const/realax/real_le'(X2, X0)),
0.00/0.49	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.49	tff('18', plain,
0.00/0.49	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real', 
0.00/0.49	      X2 : 'type/realax/real']:
0.00/0.49	      (~ $true
0.00/0.49	       | ~ 'const/realax/real_le'(X1, sk_A2(X2, X1, X0))
0.00/0.49	       | ~ 'const/realax/real_le'(sk_A2(X2, X1, X0), X2)
0.00/0.49	       | zip_tseitin1(X2, X1, X0)
0.00/0.49	       | X0 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.49	    inference('sup-', [status(thm)], ['17', '9'])).
0.00/0.49	tff('19', plain,
0.00/0.49	    ![X0 : 'type/realax/real' > $o, X1 : 'type/realax/real', 
0.00/0.49	      X2 : 'type/realax/real']:
0.00/0.49	      (X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.49	       | zip_tseitin1(X2, X1, X0)
0.00/0.49	       | ~ 'const/realax/real_le'(sk_A2(X2, X1, X0), X2)
0.00/0.49	       | ~ 'const/realax/real_le'(X1, sk_A2(X2, X1, X0))),
0.00/0.49	    inference('simplify', [status(thm)], ['18'])).
0.00/0.49	tff('20', plain,
0.00/0.49	    ![X0 : 'type/realax/real']:
0.00/0.49	      (~ $true
0.00/0.49	       | zip_tseitin1(sk_A0, X0, sk_A)
0.00/0.49	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.49	       | ~ 'const/realax/real_le'(X0, sk_A2(sk_A0, X0, sk_A))
0.00/0.49	       | zip_tseitin1(sk_A0, X0, sk_A)
0.00/0.49	       | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.49	    inference('sup-', [status(thm)], ['16', '19'])).
0.00/0.49	tff('21', plain,
0.00/0.49	    ![X0 : 'type/realax/real']:
0.00/0.49	      (~ 'const/realax/real_le'(X0, sk_A2(sk_A0, X0, sk_A))
0.00/0.49	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.49	       | zip_tseitin1(sk_A0, X0, sk_A)),
0.00/0.49	    inference('simplify', [status(thm)], ['20'])).
0.00/0.49	tff('22', plain,
0.00/0.49	    (~ $true
0.00/0.49	     | zip_tseitin1(sk_A0, 'const/realax/real_neg'(sk_A0), sk_A)
0.00/0.49	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.49	     | zip_tseitin1(sk_A0, 'const/realax/real_neg'(sk_A0), sk_A)
0.00/0.49	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.49	    inference('sup-', [status(thm)], ['11', '21'])).
0.00/0.49	tff('23', plain,
0.00/0.49	    (sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.49	     | zip_tseitin1(sk_A0, 'const/realax/real_neg'(sk_A0), sk_A)),
0.00/0.49	    inference('simplify', [status(thm)], ['22'])).
0.00/0.49	tff('24', plain,
0.00/0.49	    ![X1 : 'type/realax/real', X2 : 'type/realax/real', 
0.00/0.49	      X3 : 'type/realax/real' > $o]:
0.00/0.49	      ('const/realax/real_le'(X2, 'const/sets/inf'(X3))
0.00/0.49	       | ~ zip_tseitin1(X1, X2, X3)),
0.00/0.49	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.49	tff('25', plain,
0.00/0.49	    (~ $true
0.00/0.49	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.49	     | 'const/realax/real_le'('const/realax/real_neg'(sk_A0), 
0.00/0.49	         'const/sets/inf'(sk_A))),
0.00/0.49	    inference('sup-', [status(thm)], ['23', '24'])).
0.00/0.49	tff('26', plain,
0.00/0.49	    ('const/realax/real_le'('const/realax/real_neg'(sk_A0), 
0.00/0.49	       'const/sets/inf'(sk_A))
0.00/0.49	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.49	    inference('simplify', [status(thm)], ['25'])).
0.00/0.49	tff('27', plain,
0.00/0.49	    ![X7 : 'type/realax/real', X9 : 'type/realax/real']:
0.00/0.49	      ('const/realax/real_le'('const/realax/real_abs'(X7), X9)
0.00/0.49	       | ~ 'const/realax/real_le'('const/realax/real_neg'(X9), X7)
0.00/0.49	       | ~ 'const/realax/real_le'(X7, X9)),
0.00/0.49	    inference('cnf', [status(esa)], [thm/real/REAL_ABS_BOUNDS_])).
0.00/0.49	tff('28', plain,
0.00/0.49	    (~ $true
0.00/0.49	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.49	     | ~ 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A0)
0.00/0.49	     | 'const/realax/real_le'(
0.00/0.49	         'const/realax/real_abs'('const/sets/inf'(sk_A)), sk_A0)),
0.00/0.49	    inference('sup-', [status(thm)], ['26', '27'])).
0.00/0.49	tff('29', plain,
0.00/0.49	    ('const/realax/real_le'('const/realax/real_abs'('const/sets/inf'(sk_A)), 
0.00/0.49	       sk_A0)
0.00/0.49	     | ~ 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A0)
0.00/0.49	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.49	    inference('simplify', [status(thm)], ['28'])).
0.00/0.49	tff('30', plain,
0.00/0.49	    ~ 'const/realax/real_le'(
0.00/0.49	        'const/realax/real_abs'('const/sets/inf'(sk_A)), sk_A0),
0.00/0.49	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.49	tff('31', plain,
0.00/0.49	    (sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.49	     | ~ 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A0)),
0.00/0.49	    inference('clc', [status(thm)], ['29', '30'])).
0.00/0.49	tff('32', plain,
0.00/0.49	    ![X1 : 'type/realax/real', X2 : 'type/realax/real', 
0.00/0.49	      X3 : 'type/realax/real' > $o]:
0.00/0.49	      ('const/realax/real_le'('const/sets/inf'(X3), X1)
0.00/0.49	       | ~ zip_tseitin1(X1, X2, X3)),
0.00/0.49	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.49	tff('33', plain,
0.00/0.49	    (~ $true
0.00/0.49	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.49	     | 'const/realax/real_le'('const/sets/inf'(sk_A), sk_A0)),
0.00/0.49	    inference('sup-', [status(thm)], ['23', '32'])).
0.00/0.49	tff('34', plain,
0.00/0.49	    ('const/realax/real_le'('const/sets/inf'(sk_A), sk_A0)
0.00/0.49	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.49	    inference('simplify', [status(thm)], ['33'])).
0.00/0.49	tff('35', plain, sk_A = 'const/sets/EMPTY'('type/realax/real'),
0.00/0.49	    inference('clc', [status(thm)], ['31', '34'])).
0.00/0.49	tff('36', plain,
0.00/0.49	    ![X1 : 'type/realax/real']:
0.00/0.49	      sk_A(X1) = 'const/sets/EMPTY'('type/realax/real', X1),
0.00/0.49	    inference('ho_complete_eq', [status(thm)], ['35'])).
0.00/0.49	tff('37', plain, sk_A('#k1') != sk_A('#k1'),
0.00/0.49	    inference('demod', [status(thm)], ['1', '36'])).
0.00/0.49	tff('38', plain, $false, inference('simplify', [status(thm)], ['37'])).
0.00/0.49	
0.00/0.49	% SZS output end Refutation
0.00/0.49	EOF
