0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : supatvars_ext
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --sup-at-vars \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n050.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 18:43:23 CST 2018
0.00/0.22	% done 21 iterations in 0.009s
0.00/0.22	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff('thm/sets/REAL_LT_INF_FINITE_', conjecture,
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_lt'(A0,'const/sets/inf'(A)) <=>
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_lt'(A0,A1))))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
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_lt'(A0,'const/sets/inf'(A)) <=>
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_lt'(A0,A1)))))))).
0.00/0.22	tff('0', plain, sk_A != 'const/sets/EMPTY'('type/realax/real'),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('1', plain, sk_A('#k1') != 'const/sets/EMPTY'('type/realax/real', '#k1'),
0.00/0.22	    inference('rw_lit', [status(thm)], ['0'])).
0.00/0.22	tff('2', plain,
0.00/0.22	    ('const/sets/IN'('type/realax/real', sk_A1, sk_A)
0.00/0.22	     | ~ 'const/realax/real_lt'(sk_A0, 'const/sets/inf'(sk_A))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('thm/sets/INF_FINITE_', axiom,
0.00/0.22	  (![A:('type/realax/real' > $o)]:
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	      ((![A0:'type/realax/real']:
0.00/0.22	          ('const/sets/IN'('type/realax/real',A0,A) =>
0.00/0.22	           'const/realax/real_le'('const/sets/inf'(A),A0))) & 
0.00/0.22	       'const/sets/IN'('type/realax/real','const/sets/inf'(A),A))))).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X3 : 'type/realax/real', X4 : 'type/realax/real' > $o]:
0.00/0.22	      (~ 'const/sets/IN'('type/realax/real', X3, X4)
0.00/0.22	       | 'const/realax/real_le'('const/sets/inf'(X4), X3)
0.00/0.22	       | ~ 'const/sets/FINITE'('type/realax/real', X4)
0.00/0.22	       | X4 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.22	    inference('cnf', [status(esa)], [thm/sets/INF_FINITE_])).
0.00/0.22	tff('4', plain, 'const/sets/FINITE'('type/realax/real', sk_A),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('5', plain,
0.00/0.22	    ![X4 : 'type/realax/real' > $o]:
0.00/0.22	      ('const/sets/IN'('type/realax/real', 'const/sets/inf'(X4), X4)
0.00/0.22	       | ~ 'const/sets/FINITE'('type/realax/real', X4)
0.00/0.22	       | X4 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.22	    inference('cnf', [status(esa)], [thm/sets/INF_FINITE_])).
0.00/0.22	tff('6', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)),
0.00/0.22	    inference('sup-', [status(thm)], ['4', '5'])).
0.00/0.22	tff('7', plain,
0.00/0.22	    ('const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)
0.00/0.22	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.22	    inference('simplify', [status(thm)], ['6'])).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X1 : 'type/realax/real']:
0.00/0.22	      (sk_A(X1) = 'const/sets/EMPTY'('type/realax/real', X1)
0.00/0.22	       | 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)),
0.00/0.22	    inference('ho_complete_eq', [status(thm)], ['7'])).
0.00/0.22	tff('9', plain,
0.00/0.22	    (sk_A('#k1') != sk_A('#k1')
0.00/0.22	     | 'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A)),
0.00/0.22	    inference('sup-', [status(thm)], ['8', '1'])).
0.00/0.22	tff('10', plain,
0.00/0.22	    'const/sets/IN'('type/realax/real', 'const/sets/inf'(sk_A), sk_A),
0.00/0.22	    inference('simplify', [status(thm)], ['9'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X5 : 'type/realax/real']:
0.00/0.22	      (~ 'const/sets/IN'('type/realax/real', X5, sk_A)
0.00/0.22	       | 'const/realax/real_lt'(sk_A0, X5)
0.00/0.22	       | 'const/realax/real_lt'(sk_A0, 'const/sets/inf'(sk_A))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('12', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | 'const/realax/real_lt'(sk_A0, 'const/sets/inf'(sk_A))
0.00/0.22	     | 'const/realax/real_lt'(sk_A0, 'const/sets/inf'(sk_A))),
0.00/0.22	    inference('sup-', [status(thm)], ['10', '11'])).
0.00/0.22	tff('13', plain, 'const/realax/real_lt'(sk_A0, 'const/sets/inf'(sk_A)),
0.00/0.22	    inference('simplify', [status(thm)], ['12'])).
0.00/0.22	tff('thm/realarith/REAL_LTE_TRANS_', axiom,
0.00/0.22	  (![A:'type/realax/real',A0:'type/realax/real',A1:'type/realax/real']:
0.00/0.22	     (('const/realax/real_le'(A0,A1) & 'const/realax/real_lt'(A,A0)) =>
0.00/0.22	      'const/realax/real_lt'(A,A1)))).
0.00/0.22	tff('14', plain,
0.00/0.22	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.22	      X2 : 'type/realax/real']:
0.00/0.22	      (~ 'const/realax/real_lt'(X0, X1)
0.00/0.22	       | ~ 'const/realax/real_le'(X1, X2)
0.00/0.22	       | 'const/realax/real_lt'(X0, X2)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/realarith/REAL_LTE_TRANS_])).
0.00/0.22	tff('15', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | 'const/realax/real_lt'(sk_A0, X0)
0.00/0.22	       | ~ 'const/realax/real_le'('const/sets/inf'(sk_A), X0)),
0.00/0.22	    inference('sup-', [status(thm)], ['13', '14'])).
0.00/0.22	tff('16', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ 'const/realax/real_le'('const/sets/inf'(sk_A), X0)
0.00/0.22	       | 'const/realax/real_lt'(sk_A0, X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['15'])).
0.00/0.22	tff('17', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | ~ 'const/sets/FINITE'('type/realax/real', sk_A)
0.00/0.22	       | ~ 'const/sets/IN'('type/realax/real', X0, sk_A)
0.00/0.22	       | 'const/realax/real_lt'(sk_A0, X0)),
0.00/0.22	    inference('sup-', [status(thm)], ['3', '16'])).
0.00/0.22	tff('18', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	       | ~ $true
0.00/0.22	       | ~ 'const/sets/IN'('type/realax/real', X0, sk_A)
0.00/0.22	       | 'const/realax/real_lt'(sk_A0, X0)),
0.00/0.22	    inference('demod', [status(thm)], ['17', '4'])).
0.00/0.22	tff('19', plain,
0.00/0.22	    ![X0 : 'type/realax/real']:
0.00/0.22	      ('const/realax/real_lt'(sk_A0, X0)
0.00/0.22	       | ~ 'const/sets/IN'('type/realax/real', X0, sk_A)
0.00/0.22	       | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.22	    inference('simplify', [status(thm)], ['18'])).
0.00/0.22	tff('20', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ 'const/realax/real_lt'(sk_A0, 'const/sets/inf'(sk_A))
0.00/0.22	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | 'const/realax/real_lt'(sk_A0, sk_A1)),
0.00/0.22	    inference('sup-', [status(thm)], ['2', '19'])).
0.00/0.22	tff('21', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ $true
0.00/0.22	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | 'const/realax/real_lt'(sk_A0, sk_A1)),
0.00/0.22	    inference('demod', [status(thm)], ['20', '13'])).
0.00/0.22	tff('22', plain,
0.00/0.22	    ('const/realax/real_lt'(sk_A0, sk_A1)
0.00/0.22	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.22	    inference('simplify', [status(thm)], ['21'])).
0.00/0.22	tff('23', plain,
0.00/0.22	    (~ 'const/realax/real_lt'(sk_A0, sk_A1)
0.00/0.22	     | ~ 'const/realax/real_lt'(sk_A0, 'const/sets/inf'(sk_A))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('24', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.22	     | ~ 'const/realax/real_lt'(sk_A0, 'const/sets/inf'(sk_A))),
0.00/0.22	    inference('sup-', [status(thm)], ['22', '23'])).
0.00/0.22	tff('25', plain,
0.00/0.22	    (~ $true | sk_A = 'const/sets/EMPTY'('type/realax/real') | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['24', '13'])).
0.00/0.22	tff('26', plain, sk_A = 'const/sets/EMPTY'('type/realax/real'),
0.00/0.22	    inference('simplify', [status(thm)], ['25'])).
0.00/0.22	tff('27', plain,
0.00/0.22	    ![X1 : 'type/realax/real']:
0.00/0.22	      sk_A(X1) = 'const/sets/EMPTY'('type/realax/real', X1),
0.00/0.22	    inference('ho_complete_eq', [status(thm)], ['26'])).
0.00/0.22	tff('28', plain, sk_A('#k1') != sk_A('#k1'),
0.00/0.22	    inference('demod', [status(thm)], ['1', '27'])).
0.00/0.22	tff('29', plain, $false, inference('simplify', [status(thm)], ['28'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
