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_ext
0.00/0.01	% Ordering    : kbo
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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --ho-purify ext \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n065.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:45:08 CST 2018
0.00/0.22	% done 8 iterations in 0.013s
0.00/0.22	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff('thm/iterate/NUMSEG_SING_', axiom,
0.00/0.22	  (![A:'type/nums/num']:
0.00/0.22	     ('const/iterate/..'(A,A) =
0.00/0.22	      'const/sets/INSERT'('type/nums/num',A,
0.00/0.22	                          'const/sets/EMPTY'('type/nums/num'))))).
0.00/0.22	tff('0', plain,
0.00/0.22	    ![X3 : 'type/nums/num']:
0.00/0.22	      'const/iterate/..'(X3, X3)
0.00/0.22	       = 'const/sets/INSERT'('type/nums/num', X3, 
0.00/0.22	           'const/sets/EMPTY'('type/nums/num')),
0.00/0.22	    inference('cnf', [status(esa)], [thm/iterate/NUMSEG_SING_])).
0.00/0.22	tff('thm/iterate/SUM_SING_', axiom,
0.00/0.22	  (![A:$tType,A0:(A > 'type/realax/real'),A1:A]:
0.00/0.22	     ('const/iterate/sum'(A,'const/sets/INSERT'(A,A1,'const/sets/EMPTY'(A)),
0.00/0.22	                          A0) =
0.00/0.22	      A0(A1)))).
0.00/0.22	tff('1', plain,
0.00/0.22	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0]:
0.00/0.22	      'const/iterate/sum'(X0, 
0.00/0.22	        'const/sets/INSERT'(X0, X2, 'const/sets/EMPTY'(X0)), X1)
0.00/0.22	       = X1(X2),
0.00/0.22	    inference('cnf', [status(esa)], [thm/iterate/SUM_SING_])).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0, 
0.00/0.22	      X3 : X0 > 'type/realax/real']:
0.00/0.22	      (X3 != X1
0.00/0.22	       | 'const/iterate/sum'(X0, 
0.00/0.22	           'const/sets/INSERT'(X0, X2, 'const/sets/EMPTY'(X0)), X1)
0.00/0.22	          = X3(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', X1 : 'type/nums/num' > 'type/realax/real', 
0.00/0.22	      X2 : 'type/nums/num' > 'type/realax/real']:
0.00/0.22	      ('const/iterate/sum'('type/nums/num', 'const/iterate/..'(X0, X0), X2)
0.00/0.22	        = X1(X0)
0.00/0.22	       | X1 != X2),
0.00/0.22	    inference('sup+', [status(thm)], ['0', '2'])).
0.00/0.22	tff('thm/iterate/SUM_SING_NUMSEG_', conjecture,
0.00/0.22	  (![A:('type/nums/num' > 'type/realax/real'),A0:'type/nums/num']:
0.00/0.22	     ('const/iterate/sum'('type/nums/num','const/iterate/..'(A0,A0),A) =
0.00/0.22	      A(A0)))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (![A:('type/nums/num' > 'type/realax/real'),A0:'type/nums/num']:
0.00/0.22	       ('const/iterate/sum'('type/nums/num','const/iterate/..'(A0,A0),A) =
0.00/0.22	        A(A0))))).
0.00/0.22	tff('4', plain,
0.00/0.22	    'const/iterate/sum'('type/nums/num', 'const/iterate/..'(sk_A0, sk_A0), 
0.00/0.22	      sk_A)
0.00/0.22	     != sk_A(sk_A0),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('5', plain,
0.00/0.22	    ![X0 : 'type/nums/num' > 'type/realax/real']:
0.00/0.22	      (X0(sk_A0) != sk_A(sk_A0) | X0 != sk_A),
0.00/0.22	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X0 : 'type/nums/num' > 'type/realax/real', 
0.00/0.22	      X1 : 'type/nums/num' > 'type/realax/real']:
0.00/0.22	      (X1 != X0 | X0(sk_A0) != sk_A(sk_A0) | X1 != sk_A),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['5'])).
0.00/0.22	tff('7', plain,
0.00/0.22	    ![X0 : 'type/nums/num' > 'type/realax/real']: (X0 != sk_A | X0 != sk_A),
0.00/0.22	    inference('eq_res', [status(thm)], ['6'])).
0.00/0.22	tff('8', plain, ![X0 : 'type/nums/num' > 'type/realax/real']: X0 != sk_A,
0.00/0.22	    inference('simplify', [status(thm)], ['7'])).
0.00/0.22	tff('9', plain, $false, inference('eq_res', [status(thm)], ['8'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.23	EOF
