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    : 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	  --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   : n147.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 18:40:08 CST 2018
0.00/0.21	% done 13 iterations in 0.014s
0.00/0.21	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.21	% SZS output start Refutation
0.00/0.22	tff('thm/iterate/SUM_POS_LE_NUMSEG_', conjecture,
0.00/0.22	  (![A:'type/nums/num',A0:'type/nums/num',
0.00/0.22	     A1:('type/nums/num' > 'type/realax/real')]:
0.00/0.22	     ((![A2:'type/nums/num']:
0.00/0.22	         (('const/arith/<='(A2,A0) & 'const/arith/<='(A,A2)) =>
0.00/0.22	          'const/realax/real_le'('const/realax/real_of_num'('const/nums/NUMERAL'(
0.00/0.22	                                                            'const/nums/_0')),
0.00/0.22	                                 A1(A2)))) =>
0.00/0.22	      'const/realax/real_le'('const/realax/real_of_num'('const/nums/NUMERAL'(
0.00/0.22	                                                        'const/nums/_0')),
0.00/0.22	                             'const/iterate/sum'('type/nums/num',
0.00/0.22	                                                 'const/iterate/..'(A,A0),A1))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (![A:'type/nums/num',A0:'type/nums/num',
0.00/0.22	       A1:('type/nums/num' > 'type/realax/real')]:
0.00/0.22	       ((![A2:'type/nums/num']:
0.00/0.22	           (('const/arith/<='(A2,A0) & 'const/arith/<='(A,A2)) =>
0.00/0.22	            'const/realax/real_le'('const/realax/real_of_num'('const/nums/NUMERAL'(
0.00/0.22	                                                              'const/nums/_0')),
0.00/0.22	                                   A1(A2)))) =>
0.00/0.22	        'const/realax/real_le'('const/realax/real_of_num'('const/nums/NUMERAL'(
0.00/0.22	                                                          'const/nums/_0')),
0.00/0.22	                               'const/iterate/sum'('type/nums/num',
0.00/0.22	                                                   'const/iterate/..'(A,A0),
0.00/0.22	                                                   A1)))))).
0.00/0.22	tff('0', plain,
0.00/0.22	    ![X7 : 'type/nums/num']:
0.00/0.22	      ('const/realax/real_le'(
0.00/0.22	         'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.22	         sk_A1(X7))
0.00/0.22	       | ~ 'const/arith/<='(sk_A, X7)
0.00/0.22	       | ~ 'const/arith/<='(X7, sk_A0)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('thm/iterate/SUM_POS_LE_', axiom,
0.00/0.22	  (![A:$tType,A0:(A > 'type/realax/real'),A1:(A > $o)]:
0.00/0.22	     ((![A2:A]:
0.00/0.22	         ('const/sets/IN'(A,A2,A1) =>
0.00/0.22	          'const/realax/real_le'('const/realax/real_of_num'('const/nums/NUMERAL'(
0.00/0.22	                                                            'const/nums/_0')),
0.00/0.22	                                 A0(A2)))) =>
0.00/0.22	      'const/realax/real_le'('const/realax/real_of_num'('const/nums/NUMERAL'(
0.00/0.22	                                                        'const/nums/_0')),
0.00/0.22	                             'const/iterate/sum'(A,A1,A0))))).
0.00/0.22	tff('1', plain,
0.00/0.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(
0.00/0.22	         'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.22	         'const/iterate/sum'(X0, X1, X2))
0.00/0.22	       | ~ 'const/realax/real_le'(
0.00/0.22	             'const/realax/real_of_num'(
0.00/0.22	               'const/nums/NUMERAL'('const/nums/_0')), X2(sk_A2(X0, X1, X2)))),
0.00/0.22	    inference('cnf', [status(esa)], [thm/iterate/SUM_POS_LE_])).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > 'type/realax/real', 
0.00/0.22	      X3 : X0 > 'type/realax/real']:
0.00/0.22	      (X3 != X2
0.00/0.22	       | 'const/realax/real_le'(
0.00/0.22	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.22	           'const/iterate/sum'(X0, X1, X2))
0.00/0.22	       | ~ 'const/realax/real_le'(
0.00/0.22	             'const/realax/real_of_num'(
0.00/0.22	               'const/nums/NUMERAL'('const/nums/_0')), X3(sk_A2(X0, X1, X2)))),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X0 : 'type/nums/num' > 'type/realax/real', X1 : 'type/nums/num' > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ 'const/arith/<='(sk_A2('type/nums/num', X1, X0), sk_A0)
0.00/0.22	       | ~ 'const/arith/<='(sk_A, sk_A2('type/nums/num', X1, X0))
0.00/0.22	       | 'const/realax/real_le'(
0.00/0.22	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.22	           'const/iterate/sum'('type/nums/num', X1, X0))
0.00/0.22	       | sk_A1 != X0),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '2'])).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X0 : 'type/nums/num' > 'type/realax/real', X1 : 'type/nums/num' > $o]:
0.00/0.22	      (sk_A1 != X0
0.00/0.22	       | 'const/realax/real_le'(
0.00/0.22	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.22	           'const/iterate/sum'('type/nums/num', X1, X0))
0.00/0.22	       | ~ 'const/arith/<='(sk_A, sk_A2('type/nums/num', X1, X0))
0.00/0.22	       | ~ 'const/arith/<='(sk_A2('type/nums/num', X1, X0), sk_A0)),
0.00/0.22	    inference('simplify', [status(thm)], ['3'])).
0.00/0.22	tff('5', plain,
0.00/0.22	    ~ 'const/realax/real_le'(
0.00/0.22	        'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.22	        'const/iterate/sum'('type/nums/num', 
0.00/0.22	          'const/iterate/..'(sk_A, sk_A0), sk_A1)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('6', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ 'const/arith/<='(
0.00/0.22	           sk_A2('type/nums/num', 'const/iterate/..'(sk_A, sk_A0), sk_A1), 
0.00/0.22	           sk_A0)
0.00/0.22	     | ~ 'const/arith/<='(sk_A, 
0.00/0.22	           sk_A2('type/nums/num', 'const/iterate/..'(sk_A, sk_A0), sk_A1))
0.00/0.22	     | sk_A1 != sk_A1),
0.00/0.22	    inference('sup-', [status(thm)], ['4', '5'])).
0.00/0.22	tff('7', plain,
0.00/0.22	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > 'type/realax/real']:
0.00/0.22	      ('const/realax/real_le'(
0.00/0.22	         'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.22	         'const/iterate/sum'(X0, X1, X2))
0.00/0.22	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X1)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/iterate/SUM_POS_LE_])).
0.00/0.22	tff('thm/iterate/IN_NUMSEG_', axiom,
0.00/0.22	  (![A:'type/nums/num',A0:'type/nums/num',A1:'type/nums/num']:
0.00/0.22	     ('const/sets/IN'('type/nums/num',A1,'const/iterate/..'(A,A0)) <=>
0.00/0.22	      ('const/arith/<='(A1,A0) & 'const/arith/<='(A,A1))))).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X3 : 'type/nums/num', X4 : 'type/nums/num', X5 : 'type/nums/num']:
0.00/0.22	      ('const/arith/<='(X3, X4)
0.00/0.22	       | ~ 'const/sets/IN'('type/nums/num', X3, 'const/iterate/..'(X5, X4))),
0.00/0.22	    inference('cnf', [status(esa)], [thm/iterate/IN_NUMSEG_])).
0.00/0.22	tff('9', plain,
0.00/0.22	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.22	      X2 : 'type/nums/num' > 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | 'const/realax/real_le'(
0.00/0.22	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.22	           'const/iterate/sum'('type/nums/num', 'const/iterate/..'(X1, X0), 
0.00/0.22	             X2))
0.00/0.22	       | 'const/arith/<='(
0.00/0.22	           sk_A2('type/nums/num', 'const/iterate/..'(X1, X0), X2), X0)),
0.00/0.22	    inference('sup-', [status(thm)], ['7', '8'])).
0.00/0.22	tff('10', plain,
0.00/0.22	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.22	      X2 : 'type/nums/num' > 'type/realax/real']:
0.00/0.22	      ('const/arith/<='(
0.00/0.22	         sk_A2('type/nums/num', 'const/iterate/..'(X1, X0), X2), X0)
0.00/0.22	       | 'const/realax/real_le'(
0.00/0.22	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.22	           'const/iterate/sum'('type/nums/num', 'const/iterate/..'(X1, X0), 
0.00/0.22	             X2))),
0.00/0.22	    inference('simplify', [status(thm)], ['9'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | 'const/arith/<='(
0.00/0.22	         sk_A2('type/nums/num', 'const/iterate/..'(sk_A, sk_A0), sk_A1), 
0.00/0.22	         sk_A0)),
0.00/0.22	    inference('sup-', [status(thm)], ['10', '5'])).
0.00/0.22	tff('12', plain,
0.00/0.22	    'const/arith/<='(
0.00/0.22	      sk_A2('type/nums/num', 'const/iterate/..'(sk_A, sk_A0), sk_A1), sk_A0),
0.00/0.22	    inference('simplify', [status(thm)], ['11'])).
0.00/0.22	tff('13', plain,
0.00/0.22	    ![X3 : 'type/nums/num', X4 : 'type/nums/num', X5 : 'type/nums/num']:
0.00/0.22	      ('const/arith/<='(X5, X3)
0.00/0.22	       | ~ 'const/sets/IN'('type/nums/num', X3, 'const/iterate/..'(X5, X4))),
0.00/0.22	    inference('cnf', [status(esa)], [thm/iterate/IN_NUMSEG_])).
0.00/0.22	tff('14', plain,
0.00/0.22	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.22	      X2 : 'type/nums/num' > 'type/realax/real']:
0.00/0.22	      (~ $true
0.00/0.22	       | 'const/realax/real_le'(
0.00/0.22	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.22	           'const/iterate/sum'('type/nums/num', 'const/iterate/..'(X1, X0), 
0.00/0.22	             X2))
0.00/0.22	       | 'const/arith/<='(X1, 
0.00/0.22	           sk_A2('type/nums/num', 'const/iterate/..'(X1, X0), X2))),
0.00/0.22	    inference('sup-', [status(thm)], ['7', '13'])).
0.00/0.22	tff('15', plain,
0.00/0.22	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.22	      X2 : 'type/nums/num' > 'type/realax/real']:
0.00/0.22	      ('const/arith/<='(X1, 
0.00/0.22	         sk_A2('type/nums/num', 'const/iterate/..'(X1, X0), X2))
0.00/0.22	       | 'const/realax/real_le'(
0.00/0.22	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.22	           'const/iterate/sum'('type/nums/num', 'const/iterate/..'(X1, X0), 
0.00/0.22	             X2))),
0.00/0.22	    inference('simplify', [status(thm)], ['14'])).
0.00/0.22	tff('16', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | 'const/arith/<='(sk_A, 
0.00/0.22	         sk_A2('type/nums/num', 'const/iterate/..'(sk_A, sk_A0), sk_A1))),
0.00/0.22	    inference('sup-', [status(thm)], ['15', '5'])).
0.00/0.22	tff('17', plain,
0.00/0.22	    'const/arith/<='(sk_A, 
0.00/0.22	      sk_A2('type/nums/num', 'const/iterate/..'(sk_A, sk_A0), sk_A1)),
0.00/0.22	    inference('simplify', [status(thm)], ['16'])).
0.00/0.22	tff('18', plain, (~ $true | ~ $true | ~ $true | sk_A1 != sk_A1),
0.00/0.22	    inference('demod', [status(thm)], ['6', '12', '17'])).
0.00/0.22	tff('19', plain, $false, inference('simplify', [status(thm)], ['18'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
