0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : fo
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-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n114.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:40:09 CST 2018
0.00/0.21	% done 11 iterations in 0.006s
0.00/0.21	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.21	% SZS output start Refutation
0.00/0.21	tff('thm/iterate/SUM_POS_LE_', axiom,
0.00/0.21	  (![A:$tType,A0:(A > 'type/realax/real'),A1:(A > $o)]:
0.00/0.21	     ((![A2:A]:
0.00/0.21	         ('const/sets/IN'(A,A2,A1) =>
0.00/0.21	          'const/realax/real_le'('const/realax/real_of_num'('const/nums/NUMERAL'(
0.00/0.21	                                                            'const/nums/_0')),
0.00/0.21	                                 A0(A2)))) =>
0.00/0.21	      'const/realax/real_le'('const/realax/real_of_num'('const/nums/NUMERAL'(
0.00/0.21	                                                        'const/nums/_0')),
0.00/0.21	                             'const/iterate/sum'(A,A1,A0))))).
0.00/0.21	tff('0', plain,
0.00/0.21	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > 'type/realax/real']:
0.00/0.21	      ('const/realax/real_le'(
0.00/0.21	         'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	         'const/iterate/sum'(X0, X1, X2))
0.00/0.21	       | 'const/sets/IN'(X0, sk_A2(X0, X1, X2), X1)),
0.00/0.21	    inference('cnf', [status(esa)], [thm/iterate/SUM_POS_LE_])).
0.00/0.21	tff('thm/iterate/IN_NUMSEG_', axiom,
0.00/0.21	  (![A:'type/nums/num',A0:'type/nums/num',A1:'type/nums/num']:
0.00/0.21	     ('const/sets/IN'('type/nums/num',A1,'const/iterate/..'(A,A0)) <=>
0.00/0.21	      ('const/arith/<='(A1,A0) & 'const/arith/<='(A,A1))))).
0.00/0.21	tff('1', plain,
0.00/0.21	    ![X3 : 'type/nums/num', X4 : 'type/nums/num', X5 : 'type/nums/num']:
0.00/0.21	      ('const/arith/<='(X5, X3)
0.00/0.21	       | ~ 'const/sets/IN'('type/nums/num', X3, 'const/iterate/..'(X5, X4))),
0.00/0.21	    inference('cnf', [status(esa)], [thm/iterate/IN_NUMSEG_])).
0.00/0.21	tff('2', plain,
0.00/0.21	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.21	      X2 : 'type/nums/num' > 'type/realax/real']:
0.00/0.21	      (~ $true
0.00/0.21	       | 'const/realax/real_le'(
0.00/0.21	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	           'const/iterate/sum'('type/nums/num', 'const/iterate/..'(X1, X0), 
0.00/0.21	             X2))
0.00/0.21	       | 'const/arith/<='(X1, 
0.00/0.21	           sk_A2('type/nums/num', 'const/iterate/..'(X1, X0), X2))),
0.00/0.21	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.21	tff('3', plain,
0.00/0.21	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.21	      X2 : 'type/nums/num' > 'type/realax/real']:
0.00/0.21	      ('const/arith/<='(X1, 
0.00/0.21	         sk_A2('type/nums/num', 'const/iterate/..'(X1, X0), X2))
0.00/0.21	       | 'const/realax/real_le'(
0.00/0.21	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	           'const/iterate/sum'('type/nums/num', 'const/iterate/..'(X1, X0), 
0.00/0.21	             X2))),
0.00/0.21	    inference('simplify', [status(thm)], ['2'])).
0.00/0.21	tff('4', plain,
0.00/0.21	    ![X3 : 'type/nums/num', X4 : 'type/nums/num', X5 : 'type/nums/num']:
0.00/0.21	      ('const/arith/<='(X3, X4)
0.00/0.21	       | ~ 'const/sets/IN'('type/nums/num', X3, 'const/iterate/..'(X5, X4))),
0.00/0.21	    inference('cnf', [status(esa)], [thm/iterate/IN_NUMSEG_])).
0.00/0.21	tff('5', plain,
0.00/0.21	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.21	      X2 : 'type/nums/num' > 'type/realax/real']:
0.00/0.21	      (~ $true
0.00/0.21	       | 'const/realax/real_le'(
0.00/0.21	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	           'const/iterate/sum'('type/nums/num', 'const/iterate/..'(X1, X0), 
0.00/0.21	             X2))
0.00/0.21	       | 'const/arith/<='(
0.00/0.21	           sk_A2('type/nums/num', 'const/iterate/..'(X1, X0), X2), X0)),
0.00/0.21	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.21	tff('6', plain,
0.00/0.21	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.21	      X2 : 'type/nums/num' > 'type/realax/real']:
0.00/0.21	      ('const/arith/<='(
0.00/0.21	         sk_A2('type/nums/num', 'const/iterate/..'(X1, X0), X2), X0)
0.00/0.21	       | 'const/realax/real_le'(
0.00/0.21	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	           'const/iterate/sum'('type/nums/num', 'const/iterate/..'(X1, X0), 
0.00/0.21	             X2))),
0.00/0.21	    inference('simplify', [status(thm)], ['5'])).
0.00/0.21	tff('thm/iterate/SUM_POS_LE_NUMSEG_', conjecture,
0.00/0.21	  (![A:'type/nums/num',A0:'type/nums/num',
0.00/0.21	     A1:('type/nums/num' > 'type/realax/real')]:
0.00/0.21	     ((![A2:'type/nums/num']:
0.00/0.21	         (('const/arith/<='(A2,A0) & 'const/arith/<='(A,A2)) =>
0.00/0.21	          'const/realax/real_le'('const/realax/real_of_num'('const/nums/NUMERAL'(
0.00/0.21	                                                            'const/nums/_0')),
0.00/0.21	                                 A1(A2)))) =>
0.00/0.21	      'const/realax/real_le'('const/realax/real_of_num'('const/nums/NUMERAL'(
0.00/0.21	                                                        'const/nums/_0')),
0.00/0.21	                             'const/iterate/sum'('type/nums/num',
0.00/0.21	                                                 'const/iterate/..'(A,A0),A1))))).
0.00/0.21	tff(zf_stmt_0, negated_conjecture,
0.00/0.21	  (~
0.00/0.21	    (![A:'type/nums/num',A0:'type/nums/num',
0.00/0.21	       A1:('type/nums/num' > 'type/realax/real')]:
0.00/0.21	       ((![A2:'type/nums/num']:
0.00/0.21	           (('const/arith/<='(A2,A0) & 'const/arith/<='(A,A2)) =>
0.00/0.21	            'const/realax/real_le'('const/realax/real_of_num'('const/nums/NUMERAL'(
0.00/0.21	                                                              'const/nums/_0')),
0.00/0.21	                                   A1(A2)))) =>
0.00/0.21	        'const/realax/real_le'('const/realax/real_of_num'('const/nums/NUMERAL'(
0.00/0.21	                                                          'const/nums/_0')),
0.00/0.21	                               'const/iterate/sum'('type/nums/num',
0.00/0.21	                                                   'const/iterate/..'(A,A0),
0.00/0.21	                                                   A1)))))).
0.00/0.21	tff('7', plain,
0.00/0.21	    ![X7 : 'type/nums/num']:
0.00/0.21	      ('const/realax/real_le'(
0.00/0.21	         'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	         sk_A1(X7))
0.00/0.21	       | ~ 'const/arith/<='(sk_A, X7)
0.00/0.21	       | ~ 'const/arith/<='(X7, sk_A0)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('8', plain,
0.00/0.21	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > 'type/realax/real']:
0.00/0.21	      ('const/realax/real_le'(
0.00/0.21	         'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	         'const/iterate/sum'(X0, X1, X2))
0.00/0.21	       | ~ 'const/realax/real_le'(
0.00/0.21	             'const/realax/real_of_num'(
0.00/0.21	               'const/nums/NUMERAL'('const/nums/_0')), X2(sk_A2(X0, X1, X2)))),
0.00/0.21	    inference('cnf', [status(esa)], [thm/iterate/SUM_POS_LE_])).
0.00/0.21	tff('9', plain,
0.00/0.21	    ![X0 : 'type/nums/num' > $o]:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ 'const/arith/<='(sk_A2('type/nums/num', X0, sk_A1), sk_A0)
0.00/0.21	       | ~ 'const/arith/<='(sk_A, sk_A2('type/nums/num', X0, sk_A1))
0.00/0.21	       | 'const/realax/real_le'(
0.00/0.21	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	           'const/iterate/sum'('type/nums/num', X0, sk_A1))),
0.00/0.21	    inference('sup-', [status(thm)], ['7', '8'])).
0.00/0.21	tff('10', plain,
0.00/0.21	    ![X0 : 'type/nums/num' > $o]:
0.00/0.21	      ('const/realax/real_le'(
0.00/0.21	         'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	         'const/iterate/sum'('type/nums/num', X0, sk_A1))
0.00/0.21	       | ~ 'const/arith/<='(sk_A, sk_A2('type/nums/num', X0, sk_A1))
0.00/0.21	       | ~ 'const/arith/<='(sk_A2('type/nums/num', X0, sk_A1), sk_A0)),
0.00/0.21	    inference('simplify', [status(thm)], ['9'])).
0.00/0.21	tff('11', plain,
0.00/0.21	    ![X0 : 'type/nums/num']:
0.00/0.21	      (~ $true
0.00/0.21	       | 'const/realax/real_le'(
0.00/0.21	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	           'const/iterate/sum'('type/nums/num', 
0.00/0.21	             'const/iterate/..'(X0, sk_A0), sk_A1))
0.00/0.21	       | ~ 'const/arith/<='(sk_A, 
0.00/0.21	             sk_A2('type/nums/num', 'const/iterate/..'(X0, sk_A0), sk_A1))
0.00/0.21	       | 'const/realax/real_le'(
0.00/0.21	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	           'const/iterate/sum'('type/nums/num', 
0.00/0.21	             'const/iterate/..'(X0, sk_A0), sk_A1))),
0.00/0.21	    inference('sup-', [status(thm)], ['6', '10'])).
0.00/0.21	tff('12', plain,
0.00/0.21	    ![X0 : 'type/nums/num']:
0.00/0.21	      (~ 'const/arith/<='(sk_A, 
0.00/0.21	           sk_A2('type/nums/num', 'const/iterate/..'(X0, sk_A0), sk_A1))
0.00/0.21	       | 'const/realax/real_le'(
0.00/0.21	           'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	           'const/iterate/sum'('type/nums/num', 
0.00/0.21	             'const/iterate/..'(X0, sk_A0), sk_A1))),
0.00/0.21	    inference('simplify', [status(thm)], ['11'])).
0.00/0.21	tff('13', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | 'const/realax/real_le'(
0.00/0.21	         'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	         'const/iterate/sum'('type/nums/num', 
0.00/0.21	           'const/iterate/..'(sk_A, sk_A0), sk_A1))
0.00/0.21	     | 'const/realax/real_le'(
0.00/0.21	         'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	         'const/iterate/sum'('type/nums/num', 
0.00/0.21	           'const/iterate/..'(sk_A, sk_A0), sk_A1))),
0.00/0.21	    inference('sup-', [status(thm)], ['3', '12'])).
0.00/0.21	tff('14', plain,
0.00/0.21	    'const/realax/real_le'(
0.00/0.21	      'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	      'const/iterate/sum'('type/nums/num', 'const/iterate/..'(sk_A, sk_A0), 
0.00/0.21	        sk_A1)),
0.00/0.21	    inference('simplify', [status(thm)], ['13'])).
0.00/0.21	tff('15', plain,
0.00/0.21	    ~ 'const/realax/real_le'(
0.00/0.21	        'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')), 
0.00/0.21	        'const/iterate/sum'('type/nums/num', 
0.00/0.21	          'const/iterate/..'(sk_A, sk_A0), sk_A1)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('16', plain, ~ $true, inference('sup-', [status(thm)], ['14', '15'])).
0.00/0.21	tff('17', plain, $false, inference('simplify', [status(thm)], ['16'])).
0.00/0.21	
0.00/0.21	% SZS output end Refutation
0.00/0.21	EOF
