0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_ext
0.00/0.00	% Ordering    : rpo6
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n104.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:37:54 CST 2018
0.00/0.33	% done 21 iterations in 0.134s
0.00/0.33	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.33	% SZS output start Refutation
0.00/0.33	tff('thm/iterate/NSUM_DELETE_', conjecture,
0.00/0.33	  (![A:$tType,A0:(A > 'type/nums/num'),A1:(A > $o),A2:A]:
0.00/0.33	     (('const/sets/IN'(A,A2,A1) & 'const/sets/FINITE'(A,A1)) =>
0.00/0.33	      ('const/arith/+'(A0(A2),
0.00/0.33	                       'const/iterate/nsum'(A,'const/sets/DELETE'(A,A1,A2),A0)) =
0.00/0.33	       'const/iterate/nsum'(A,A1,A0))))).
0.00/0.33	tff(zf_stmt_0, negated_conjecture,
0.00/0.33	  (~
0.00/0.33	    (![A:$tType,A0:(A > 'type/nums/num'),A1:(A > $o),A2:A]:
0.00/0.33	       (('const/sets/IN'(A,A2,A1) & 'const/sets/FINITE'(A,A1)) =>
0.00/0.33	        ('const/arith/+'(A0(A2),
0.00/0.33	                         'const/iterate/nsum'(A,'const/sets/DELETE'(A,A1,A2),
0.00/0.33	                                              A0)) =
0.00/0.33	         'const/iterate/nsum'(A,A1,A0)))))).
0.00/0.33	tff('0', plain,
0.00/0.33	    'const/arith/+'(sk_A0(sk_A2), 
0.00/0.33	      'const/iterate/nsum'(sk_A, 'const/sets/DELETE'(sk_A, sk_A1, sk_A2), 
0.00/0.33	        sk_A0))
0.00/0.33	     != 'const/iterate/nsum'(sk_A, sk_A1, sk_A0),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('thm/iterate/nsum_', axiom,
0.00/0.33	  (![A:$tType]:
0.00/0.33	     ('const/iterate/nsum'(A) =
0.00/0.33	      'const/iterate/iterate'(A,'type/nums/num','const/arith/+')))).
0.00/0.33	tff('1', plain,
0.00/0.33	    ![X0 : $tType]:
0.00/0.33	      'const/iterate/nsum'(X0)
0.00/0.33	       = 'const/iterate/iterate'(X0, 'type/nums/num', 'const/arith/+'),
0.00/0.33	    inference('cnf', [status(esa)], [thm/iterate/nsum_])).
0.00/0.33	tff('2', plain,
0.00/0.33	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > 'type/nums/num']:
0.00/0.33	      'const/iterate/nsum'(X0, X1, X2)
0.00/0.33	       = 'const/iterate/iterate'(X0, 'type/nums/num', 'const/arith/+', X1, 
0.00/0.33	           X2),
0.00/0.33	    inference('ho_complete_eq', [status(thm)], ['1'])).
0.00/0.33	tff('3', plain, 'const/sets/IN'(sk_A, sk_A2, sk_A1),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('thm/iterate/ITERATE_DELETE_', axiom,
0.00/0.33	  (![A:$tType,B:$tType,A0:((B * B) > B)]:
0.00/0.33	     ('const/iterate/monoidal'(B,A0) =>
0.00/0.33	      (![A1:(A > B),A2:(A > $o),A3:A]:
0.00/0.33	         (('const/sets/IN'(A,A3,A2) & 'const/sets/FINITE'(A,A2)) =>
0.00/0.33	          (A0(A1(A3),
0.00/0.33	              'const/iterate/iterate'(A,B,A0,'const/sets/DELETE'(A,A2,A3),A1)) =
0.00/0.33	           'const/iterate/iterate'(A,B,A0,A2,A1))))))).
0.00/0.33	tff('4', plain,
0.00/0.33	    ![X1 : $tType, X2 : $tType, X3 : (X2 * X2) > X2, X4 : X1 > $o, 
0.00/0.33	      X5 : X1 > X2, X6 : X1]:
0.00/0.33	      (X3(X5(X6), 
0.00/0.33	         'const/iterate/iterate'(X1, X2, X3, 
0.00/0.33	           'const/sets/DELETE'(X1, X4, X6), X5))
0.00/0.33	        = 'const/iterate/iterate'(X1, X2, X3, X4, X5)
0.00/0.33	       | ~ 'const/sets/IN'(X1, X6, X4)
0.00/0.33	       | ~ 'const/sets/FINITE'(X1, X4)
0.00/0.33	       | ~ 'const/iterate/monoidal'(X2, X3)),
0.00/0.33	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_DELETE_])).
0.00/0.33	tff('5', plain,
0.00/0.33	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : sk_A > X0]:
0.00/0.33	      (~ $true
0.00/0.33	       | ~ 'const/iterate/monoidal'(X0, X1)
0.00/0.33	       | ~ 'const/sets/FINITE'(sk_A, sk_A1)
0.00/0.33	       | X1(X2(sk_A2), 
0.00/0.33	           'const/iterate/iterate'(sk_A, X0, X1, 
0.00/0.33	             'const/sets/DELETE'(sk_A, sk_A1, sk_A2), X2))
0.00/0.33	          = 'const/iterate/iterate'(sk_A, X0, X1, sk_A1, X2)),
0.00/0.33	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.33	tff('6', plain, 'const/sets/FINITE'(sk_A, sk_A1),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('7', plain,
0.00/0.33	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : sk_A > X0]:
0.00/0.33	      (~ $true
0.00/0.33	       | ~ 'const/iterate/monoidal'(X0, X1)
0.00/0.33	       | ~ $true
0.00/0.33	       | X1(X2(sk_A2), 
0.00/0.33	           'const/iterate/iterate'(sk_A, X0, X1, 
0.00/0.33	             'const/sets/DELETE'(sk_A, sk_A1, sk_A2), X2))
0.00/0.33	          = 'const/iterate/iterate'(sk_A, X0, X1, sk_A1, X2)),
0.00/0.33	    inference('demod', [status(thm)], ['5', '6'])).
0.00/0.33	tff('8', plain,
0.00/0.33	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : sk_A > X0]:
0.00/0.33	      (X1(X2(sk_A2), 
0.00/0.33	         'const/iterate/iterate'(sk_A, X0, X1, 
0.00/0.33	           'const/sets/DELETE'(sk_A, sk_A1, sk_A2), X2))
0.00/0.33	        = 'const/iterate/iterate'(sk_A, X0, X1, sk_A1, X2)
0.00/0.33	       | ~ 'const/iterate/monoidal'(X0, X1)),
0.00/0.33	    inference('simplify', [status(thm)], ['7'])).
0.00/0.33	tff('9', plain,
0.00/0.33	    ![X0 : sk_A > 'type/nums/num']:
0.00/0.33	      ('const/arith/+'(X0(sk_A2), 
0.00/0.33	         'const/iterate/nsum'(sk_A, 'const/sets/DELETE'(sk_A, sk_A1, sk_A2), 
0.00/0.33	           X0))
0.00/0.33	        = 'const/iterate/iterate'(sk_A, 'type/nums/num', 'const/arith/+', 
0.00/0.33	            sk_A1, X0)
0.00/0.33	       | ~ 'const/iterate/monoidal'('type/nums/num', 'const/arith/+')),
0.00/0.33	    inference('sup+', [status(thm)], ['2', '8'])).
0.00/0.33	tff('thm/iterate/MONOIDAL_ADD_', axiom,
0.00/0.33	  ('const/iterate/monoidal'('type/nums/num','const/arith/+'))).
0.00/0.33	tff('10', plain, 'const/iterate/monoidal'('type/nums/num', 'const/arith/+'),
0.00/0.33	    inference('cnf', [status(esa)], [thm/iterate/MONOIDAL_ADD_])).
0.00/0.33	tff('11', plain,
0.00/0.33	    ![X0 : sk_A > 'type/nums/num']:
0.00/0.33	      ('const/arith/+'(X0(sk_A2), 
0.00/0.33	         'const/iterate/nsum'(sk_A, 'const/sets/DELETE'(sk_A, sk_A1, sk_A2), 
0.00/0.33	           X0))
0.00/0.33	        = 'const/iterate/iterate'(sk_A, 'type/nums/num', 'const/arith/+', 
0.00/0.33	            sk_A1, X0)
0.00/0.33	       | ~ $true),
0.00/0.33	    inference('demod', [status(thm)], ['9', '10'])).
0.00/0.33	tff('12', plain,
0.00/0.33	    ![X0 : sk_A > 'type/nums/num']:
0.00/0.33	      'const/arith/+'(X0(sk_A2), 
0.00/0.33	        'const/iterate/nsum'(sk_A, 'const/sets/DELETE'(sk_A, sk_A1, sk_A2), 
0.00/0.33	          X0))
0.00/0.33	       = 'const/iterate/iterate'(sk_A, 'type/nums/num', 'const/arith/+', 
0.00/0.33	           sk_A1, X0),
0.00/0.33	    inference('simplify', [status(thm)], ['11'])).
0.00/0.33	tff('13', plain,
0.00/0.33	    ![X0 : sk_A > 'type/nums/num']:
0.00/0.33	      'const/iterate/nsum'(sk_A, sk_A1, X0)
0.00/0.33	       = 'const/arith/+'(X0(sk_A2), 
0.00/0.33	           'const/iterate/nsum'(sk_A, 
0.00/0.33	             'const/sets/DELETE'(sk_A, sk_A1, sk_A2), X0)),
0.00/0.33	    inference('sup+', [status(thm)], ['12', '2'])).
0.00/0.33	tff('14', plain,
0.00/0.33	    'const/iterate/nsum'(sk_A, sk_A1, sk_A0)
0.00/0.33	     != 'const/iterate/nsum'(sk_A, sk_A1, sk_A0),
0.00/0.33	    inference('demod', [status(thm)], ['0', '13'])).
0.00/0.33	tff('15', plain, $false, inference('simplify', [status(thm)], ['14'])).
0.00/0.33	
0.00/0.33	% SZS output end Refutation
0.00/0.34	EOF
