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    : purification_int
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	  --ho-purify int \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
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
0.00/0.21	% Computer   : n188.star.cs.uiowa.edu
0.00/0.21	% Model      : x86_64 x86_64
0.00/0.21	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.21	% Memory     : 32218.625MB
0.00/0.21	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 07:44:08 CST 2018
0.00/0.22	% done 14 iterations in 0.007s
0.00/0.22	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff('thm/iterate/NSUM_EQ_0_NUMSEG_', axiom,
0.00/0.22	  (![A:('type/nums/num' > 'type/nums/num'),A0:'type/nums/num',
0.00/0.22	     A1:'type/nums/num']:
0.00/0.22	     ((![A2:'type/nums/num']:
0.00/0.22	         (('const/arith/<='(A2,A1) & 'const/arith/<='(A0,A2)) =>
0.00/0.22	          (A(A2) = 'const/nums/NUMERAL'('const/nums/_0')))) =>
0.00/0.22	      ('const/iterate/nsum'('type/nums/num','const/iterate/..'(A0,A1),A) =
0.00/0.22	       'const/nums/NUMERAL'('const/nums/_0'))))).
0.00/0.22	tff('0', plain,
0.00/0.22	    ![X8 : 'type/nums/num', X9 : 'type/nums/num', 
0.00/0.22	      X10 : 'type/nums/num' > 'type/nums/num']:
0.00/0.22	      ('const/iterate/nsum'('type/nums/num', 'const/iterate/..'(X8, X9), X10)
0.00/0.22	        = 'const/nums/NUMERAL'('const/nums/_0')
0.00/0.22	       | 'const/arith/<='(sk_A2(X9, X8, X10), X9)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/iterate/NSUM_EQ_0_NUMSEG_])).
0.00/0.22	tff('1', plain,
0.00/0.22	    ![X8 : 'type/nums/num', X9 : 'type/nums/num', 
0.00/0.22	      X10 : 'type/nums/num' > 'type/nums/num']:
0.00/0.22	      ('const/iterate/nsum'('type/nums/num', 'const/iterate/..'(X8, X9), X10)
0.00/0.22	        = 'const/nums/NUMERAL'('const/nums/_0')
0.00/0.22	       | 'const/arith/<='(X8, sk_A2(X9, X8, X10))),
0.00/0.22	    inference('cnf', [status(esa)], [thm/iterate/NSUM_EQ_0_NUMSEG_])).
0.00/0.22	tff('thm/arith/LE_TRANS_', axiom,
0.00/0.22	  (![A:'type/nums/num',A0:'type/nums/num',A1:'type/nums/num']:
0.00/0.22	     (('const/arith/<='(A0,A1) & 'const/arith/<='(A,A0)) =>
0.00/0.22	      'const/arith/<='(A,A1)))).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X5 : 'type/nums/num', X6 : 'type/nums/num', X7 : 'type/nums/num']:
0.00/0.22	      (~ 'const/arith/<='(X5, X6)
0.00/0.22	       | ~ 'const/arith/<='(X6, X7)
0.00/0.22	       | 'const/arith/<='(X5, X7)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/arith/LE_TRANS_])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X0 : 'type/nums/num' > 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.22	      X2 : 'type/nums/num', X3 : 'type/nums/num']:
0.00/0.22	      (~ $true
0.00/0.22	       | 'const/iterate/nsum'('type/nums/num', 'const/iterate/..'(X1, X2), 
0.00/0.22	           X0)
0.00/0.22	          = 'const/nums/NUMERAL'('const/nums/_0')
0.00/0.22	       | 'const/arith/<='(X1, X3)
0.00/0.22	       | ~ 'const/arith/<='(sk_A2(X2, X1, X0), X3)),
0.00/0.22	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X0 : 'type/nums/num' > 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.22	      X2 : 'type/nums/num', X3 : 'type/nums/num']:
0.00/0.22	      (~ 'const/arith/<='(sk_A2(X2, X1, X0), X3)
0.00/0.22	       | 'const/arith/<='(X1, X3)
0.00/0.22	       | 'const/iterate/nsum'('type/nums/num', 'const/iterate/..'(X1, X2), 
0.00/0.22	           X0)
0.00/0.22	          = 'const/nums/NUMERAL'('const/nums/_0')),
0.00/0.22	    inference('simplify', [status(thm)], ['3'])).
0.00/0.22	tff('5', plain,
0.00/0.22	    ![X0 : 'type/nums/num', X1 : 'type/nums/num' > 'type/nums/num', 
0.00/0.22	      X2 : 'type/nums/num']:
0.00/0.22	      (~ $true
0.00/0.22	       | 'const/iterate/nsum'('type/nums/num', 'const/iterate/..'(X2, X0), 
0.00/0.22	           X1)
0.00/0.22	          = 'const/nums/NUMERAL'('const/nums/_0')
0.00/0.22	       | 'const/iterate/nsum'('type/nums/num', 'const/iterate/..'(X2, X0), 
0.00/0.22	           X1)
0.00/0.22	          = 'const/nums/NUMERAL'('const/nums/_0')
0.00/0.22	       | 'const/arith/<='(X2, X0)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X0 : 'type/nums/num', X1 : 'type/nums/num' > 'type/nums/num', 
0.00/0.22	      X2 : 'type/nums/num']:
0.00/0.22	      ('const/arith/<='(X2, X0)
0.00/0.22	       | 'const/iterate/nsum'('type/nums/num', 'const/iterate/..'(X2, X0), 
0.00/0.22	           X1)
0.00/0.22	          = 'const/nums/NUMERAL'('const/nums/_0')),
0.00/0.22	    inference('simplify', [status(thm)], ['5'])).
0.00/0.22	tff('thm/iterate/NSUM_TRIV_NUMSEG_', conjecture,
0.00/0.22	  (![A:('type/nums/num' > 'type/nums/num'),A0:'type/nums/num',
0.00/0.22	     A1:'type/nums/num']:
0.00/0.22	     ('const/arith/<'(A1,A0) =>
0.00/0.22	      ('const/iterate/nsum'('type/nums/num','const/iterate/..'(A0,A1),A) =
0.00/0.22	       'const/nums/NUMERAL'('const/nums/_0'))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (![A:('type/nums/num' > 'type/nums/num'),A0:'type/nums/num',
0.00/0.22	       A1:'type/nums/num']:
0.00/0.22	       ('const/arith/<'(A1,A0) =>
0.00/0.22	        ('const/iterate/nsum'('type/nums/num','const/iterate/..'(A0,A1),A) =
0.00/0.22	         'const/nums/NUMERAL'('const/nums/_0')))))).
0.00/0.22	tff('7', plain,
0.00/0.22	    'const/iterate/nsum'('type/nums/num', 'const/iterate/..'(sk_A0, sk_A1), 
0.00/0.22	      sk_A)
0.00/0.22	     != 'const/nums/NUMERAL'('const/nums/_0'),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('8', plain,
0.00/0.22	    ('const/nums/NUMERAL'('const/nums/_0')
0.00/0.22	      != 'const/nums/NUMERAL'('const/nums/_0')
0.00/0.22	     | 'const/arith/<='(sk_A0, sk_A1)),
0.00/0.22	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.22	tff('9', plain, 'const/arith/<='(sk_A0, sk_A1),
0.00/0.22	    inference('simplify', [status(thm)], ['8'])).
0.00/0.22	tff('10', plain, 'const/arith/<'(sk_A1, sk_A0),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('thm/arith/NOT_LT_', axiom,
0.00/0.22	  (![A:'type/nums/num',A0:'type/nums/num']:
0.00/0.22	     ((~'const/arith/<'(A,A0)) <=> 'const/arith/<='(A0,A)))).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X3 : 'type/nums/num', X4 : 'type/nums/num']:
0.00/0.22	      (~ 'const/arith/<'(X3, X4) | ~ 'const/arith/<='(X4, X3)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/arith/NOT_LT_])).
0.00/0.22	tff('12', plain, (~ $true | ~ 'const/arith/<='(sk_A0, sk_A1)),
0.00/0.22	    inference('sup-', [status(thm)], ['10', '11'])).
0.00/0.22	tff('13', plain, ~ 'const/arith/<='(sk_A0, sk_A1),
0.00/0.22	    inference('simplify', [status(thm)], ['12'])).
0.00/0.22	tff('14', plain, ~ $true, inference('sup-', [status(thm)], ['9', '13'])).
0.00/0.22	tff('15', plain, $false, inference('simplify', [status(thm)], ['14'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
