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_int
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n046.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:46:09 CST 2018
0.00/0.26	% done 14 iterations in 0.059s
0.00/0.26	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.26	% SZS output start Refutation
0.00/0.26	tff('thm/iterate/sum_', axiom,
0.00/0.26	  (![A:$tType]:
0.00/0.26	     ('const/iterate/sum'(A) =
0.00/0.26	      'const/iterate/iterate'(A,'type/realax/real','const/realax/real_add')))).
0.00/0.26	tff('0', plain,
0.00/0.26	    ![X0 : $tType]:
0.00/0.26	      'const/iterate/sum'(X0)
0.00/0.26	       = 'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.26	           'const/realax/real_add'),
0.00/0.26	    inference('cnf', [status(esa)], [thm/iterate/sum_])).
0.00/0.26	tff('1', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > 'type/realax/real']:
0.00/0.26	      'const/iterate/sum'(X0, X1, X2)
0.00/0.26	       = 'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.26	           'const/realax/real_add', X1, X2),
0.00/0.26	    inference('ho_complete_eq', [status(thm)], ['0'])).
0.00/0.26	tff('thm/iterate/ITERATE_UNION_', axiom,
0.00/0.26	  (![A:$tType,A0:$tType,A1:((A0 * A0) > A0)]:
0.00/0.26	     ('const/iterate/monoidal'(A0,A1) =>
0.00/0.26	      (![A2:(A > A0),A3:(A > $o),A4:(A > $o)]:
0.00/0.26	         (('const/sets/DISJOINT'(A,A3,A4) & 'const/sets/FINITE'(A,A4) & 
0.00/0.26	           'const/sets/FINITE'(A,A3)) =>
0.00/0.26	          ('const/iterate/iterate'(A,A0,A1,'const/sets/UNION'(A,A3,A4),A2) =
0.00/0.26	           A1('const/iterate/iterate'(A,A0,A1,A3,A2),
0.00/0.26	              'const/iterate/iterate'(A,A0,A1,A4,A2)))))))).
0.00/0.26	tff('2', plain,
0.00/0.26	    ![X1 : $tType, X2 : (X1 * X1) > X1, X3 : $tType, X4 : X3 > $o, 
0.00/0.26	      X5 : X3 > X1, X6 : X3 > $o]:
0.00/0.26	      ('const/iterate/iterate'(X3, X1, X2, 'const/sets/UNION'(X3, X4, X6), 
0.00/0.26	         X5)
0.00/0.26	        = X2('const/iterate/iterate'(X3, X1, X2, X4, X5), 
0.00/0.26	            'const/iterate/iterate'(X3, X1, X2, X6, X5))
0.00/0.26	       | ~ 'const/sets/FINITE'(X3, X6)
0.00/0.26	       | ~ 'const/sets/DISJOINT'(X3, X4, X6)
0.00/0.26	       | ~ 'const/sets/FINITE'(X3, X4)
0.00/0.26	       | ~ 'const/iterate/monoidal'(X1, X2)),
0.00/0.26	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_UNION_])).
0.00/0.26	tff('3', plain,
0.00/0.26	    ![X1 : $tType, X2 : (X1 * X1) > X1, X3 : $tType, X4 : X3 > $o, 
0.00/0.26	      X5 : X3 > X1, X6 : X3 > $o, X7 : (X1 * X1) > X1]:
0.00/0.26	      (X7 != X2
0.00/0.26	       | 'const/iterate/iterate'(X3, X1, X2, 'const/sets/UNION'(X3, X4, X6), 
0.00/0.26	           X5)
0.00/0.26	          = X7('const/iterate/iterate'(X3, X1, X2, X4, X5), 
0.00/0.26	              'const/iterate/iterate'(X3, X1, X2, X6, X5))
0.00/0.26	       | ~ 'const/sets/FINITE'(X3, X6)
0.00/0.26	       | ~ 'const/sets/DISJOINT'(X3, X4, X6)
0.00/0.26	       | ~ 'const/sets/FINITE'(X3, X4)
0.00/0.26	       | ~ 'const/iterate/monoidal'(X1, X2)),
0.00/0.26	    inference('ho.purify_applied_variable', [status(thm)], ['2'])).
0.00/0.26	tff('4', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0 > $o, X3 : X0 > $o, 
0.00/0.26	      X4 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.26	      ('const/iterate/sum'(X0, 'const/sets/UNION'(X0, X3, X2), X1)
0.00/0.26	        = X4(
0.00/0.26	            'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.26	              'const/realax/real_add', X3, X1), 
0.00/0.26	            'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.26	              'const/realax/real_add', X2, X1))
0.00/0.26	       | ~ 'const/iterate/monoidal'('type/realax/real', 
0.00/0.26	             'const/realax/real_add')
0.00/0.26	       | ~ 'const/sets/FINITE'(X0, X3)
0.00/0.26	       | ~ 'const/sets/DISJOINT'(X0, X3, X2)
0.00/0.26	       | ~ 'const/sets/FINITE'(X0, X2)
0.00/0.26	       | X4 != 'const/realax/real_add'),
0.00/0.26	    inference('sup+', [status(thm)], ['1', '3'])).
0.00/0.26	tff('thm/iterate/MONOIDAL_REAL_ADD_', axiom,
0.00/0.26	  ('const/iterate/monoidal'('type/realax/real','const/realax/real_add'))).
0.00/0.26	tff('5', plain,
0.00/0.26	    'const/iterate/monoidal'('type/realax/real', 'const/realax/real_add'),
0.00/0.26	    inference('cnf', [status(esa)], [thm/iterate/MONOIDAL_REAL_ADD_])).
0.00/0.26	tff('6', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0 > $o, X3 : X0 > $o, 
0.00/0.26	      X4 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.26	      ('const/iterate/sum'(X0, 'const/sets/UNION'(X0, X3, X2), X1)
0.00/0.26	        = X4(
0.00/0.26	            'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.26	              'const/realax/real_add', X3, X1), 
0.00/0.26	            'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.26	              'const/realax/real_add', X2, X1))
0.00/0.26	       | ~ $true
0.00/0.26	       | ~ 'const/sets/FINITE'(X0, X3)
0.00/0.26	       | ~ 'const/sets/DISJOINT'(X0, X3, X2)
0.00/0.26	       | ~ 'const/sets/FINITE'(X0, X2)
0.00/0.26	       | X4 != 'const/realax/real_add'),
0.00/0.26	    inference('demod', [status(thm)], ['4', '5'])).
0.00/0.26	tff('7', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0 > $o, X3 : X0 > $o, 
0.00/0.26	      X4 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.26	      (X4 != 'const/realax/real_add'
0.00/0.26	       | ~ 'const/sets/FINITE'(X0, X2)
0.00/0.26	       | ~ 'const/sets/DISJOINT'(X0, X3, X2)
0.00/0.26	       | ~ 'const/sets/FINITE'(X0, X3)
0.00/0.26	       | 'const/iterate/sum'(X0, 'const/sets/UNION'(X0, X3, X2), X1)
0.00/0.26	          = X4(
0.00/0.26	              'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.26	                'const/realax/real_add', X3, X1), 
0.00/0.26	              'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.26	                'const/realax/real_add', X2, X1))),
0.00/0.26	    inference('simplify', [status(thm)], ['6'])).
0.00/0.26	tff('8', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0 > $o, X3 : X0 > $o, 
0.00/0.26	      X4 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.26	      X5 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.26	      (X5 != X4
0.00/0.26	       | X4 != 'const/realax/real_add'
0.00/0.26	       | ~ 'const/sets/FINITE'(X0, X2)
0.00/0.26	       | ~ 'const/sets/DISJOINT'(X0, X3, X2)
0.00/0.26	       | ~ 'const/sets/FINITE'(X0, X3)
0.00/0.26	       | 'const/iterate/sum'(X0, 'const/sets/UNION'(X0, X3, X2), X1)
0.00/0.26	          = X5(
0.00/0.26	              'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.26	                'const/realax/real_add', X3, X1), 
0.00/0.26	              'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.26	                'const/realax/real_add', X2, X1))),
0.00/0.26	    inference('ho.purify_applied_variable', [status(thm)], ['7'])).
0.00/0.26	tff('9', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0 > $o, 
0.00/0.26	      X3 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.26	      X4 : X0 > $o, 
0.00/0.26	      X5 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.26	      ('const/iterate/sum'(X0, 'const/sets/UNION'(X0, X2, X4), X1)
0.00/0.26	        = X3('const/iterate/sum'(X0, X2, X1), 
0.00/0.26	            'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.26	              'const/realax/real_add', X4, X1))
0.00/0.26	       | ~ 'const/sets/FINITE'(X0, X2)
0.00/0.26	       | ~ 'const/sets/DISJOINT'(X0, X2, X4)
0.00/0.26	       | ~ 'const/sets/FINITE'(X0, X4)
0.00/0.26	       | X5 != 'const/realax/real_add'
0.00/0.26	       | X3 != X5),
0.00/0.26	    inference('sup+', [status(thm)], ['1', '8'])).
0.00/0.26	tff('10', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0 > $o, 
0.00/0.26	      X3 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.26	      X4 : X0 > $o, 
0.00/0.26	      X5 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.26	      ('const/iterate/sum'(X0, 'const/sets/UNION'(X0, X4, X2), X1)
0.00/0.26	        = X3('const/iterate/sum'(X0, X4, X1), 
0.00/0.26	            'const/iterate/sum'(X0, X2, X1))
0.00/0.26	       | X3 != X5
0.00/0.26	       | X5 != 'const/realax/real_add'
0.00/0.26	       | ~ 'const/sets/FINITE'(X0, X2)
0.00/0.26	       | ~ 'const/sets/DISJOINT'(X0, X4, X2)
0.00/0.26	       | ~ 'const/sets/FINITE'(X0, X4)),
0.00/0.26	    inference('sup+', [status(thm)], ['1', '9'])).
0.00/0.26	tff('thm/iterate/SUM_UNION_', conjecture,
0.00/0.26	  (![A:$tType,A0:(A > 'type/realax/real'),A1:(A > $o),A2:(A > $o)]:
0.00/0.26	     (('const/sets/DISJOINT'(A,A1,A2) & 'const/sets/FINITE'(A,A2) & 
0.00/0.26	       'const/sets/FINITE'(A,A1)) =>
0.00/0.26	      ('const/iterate/sum'(A,'const/sets/UNION'(A,A1,A2),A0) =
0.00/0.26	       'const/realax/real_add'('const/iterate/sum'(A,A1,A0),
0.00/0.26	                               'const/iterate/sum'(A,A2,A0)))))).
0.00/0.26	tff(zf_stmt_0, negated_conjecture,
0.00/0.26	  (~
0.00/0.26	    (![A:$tType,A0:(A > 'type/realax/real'),A1:(A > $o),A2:(A > $o)]:
0.00/0.26	       (('const/sets/DISJOINT'(A,A1,A2) & 'const/sets/FINITE'(A,A2) & 
0.00/0.26	         'const/sets/FINITE'(A,A1)) =>
0.00/0.26	        ('const/iterate/sum'(A,'const/sets/UNION'(A,A1,A2),A0) =
0.00/0.26	         'const/realax/real_add'('const/iterate/sum'(A,A1,A0),
0.00/0.26	                                 'const/iterate/sum'(A,A2,A0))))))).
0.00/0.26	tff('11', plain,
0.00/0.26	    'const/iterate/sum'(sk_A, 'const/sets/UNION'(sk_A, sk_A1, sk_A2), sk_A0)
0.00/0.26	     != 'const/realax/real_add'('const/iterate/sum'(sk_A, sk_A1, sk_A0), 
0.00/0.26	          'const/iterate/sum'(sk_A, sk_A2, sk_A0)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('12', plain,
0.00/0.26	    ![X0 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.26	      X1 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.26	      (X0('const/iterate/sum'(sk_A, sk_A1, sk_A0), 
0.00/0.26	         'const/iterate/sum'(sk_A, sk_A2, sk_A0))
0.00/0.26	        != 'const/realax/real_add'('const/iterate/sum'(sk_A, sk_A1, sk_A0), 
0.00/0.26	             'const/iterate/sum'(sk_A, sk_A2, sk_A0))
0.00/0.26	       | ~ 'const/sets/FINITE'(sk_A, sk_A1)
0.00/0.26	       | ~ 'const/sets/DISJOINT'(sk_A, sk_A1, sk_A2)
0.00/0.26	       | ~ 'const/sets/FINITE'(sk_A, sk_A2)
0.00/0.26	       | X1 != 'const/realax/real_add'
0.00/0.26	       | X0 != X1),
0.00/0.26	    inference('sup-', [status(thm)], ['10', '11'])).
0.00/0.26	tff('13', plain, 'const/sets/FINITE'(sk_A, sk_A1),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('14', plain, 'const/sets/DISJOINT'(sk_A, sk_A1, sk_A2),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('15', plain, 'const/sets/FINITE'(sk_A, sk_A2),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('16', plain,
0.00/0.26	    ![X0 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.26	      X1 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.26	      (X0('const/iterate/sum'(sk_A, sk_A1, sk_A0), 
0.00/0.26	         'const/iterate/sum'(sk_A, sk_A2, sk_A0))
0.00/0.26	        != 'const/realax/real_add'('const/iterate/sum'(sk_A, sk_A1, sk_A0), 
0.00/0.26	             'const/iterate/sum'(sk_A, sk_A2, sk_A0))
0.00/0.26	       | ~ $true
0.00/0.26	       | ~ $true
0.00/0.26	       | ~ $true
0.00/0.26	       | X1 != 'const/realax/real_add'
0.00/0.26	       | X0 != X1),
0.00/0.26	    inference('demod', [status(thm)], ['12', '13', '14', '15'])).
0.00/0.26	tff('17', plain,
0.00/0.26	    ![X0 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.26	      X1 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.26	      (X0 != X1
0.00/0.26	       | X1 != 'const/realax/real_add'
0.00/0.26	       | X0('const/iterate/sum'(sk_A, sk_A1, sk_A0), 
0.00/0.26	           'const/iterate/sum'(sk_A, sk_A2, sk_A0))
0.00/0.26	          != 'const/realax/real_add'(
0.00/0.26	               'const/iterate/sum'(sk_A, sk_A1, sk_A0), 
0.00/0.26	               'const/iterate/sum'(sk_A, sk_A2, sk_A0))),
0.00/0.26	    inference('simplify', [status(thm)], ['16'])).
0.00/0.26	tff('18', plain,
0.00/0.26	    ![X0 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.26	      (X0 != 'const/realax/real_add' | 'const/realax/real_add' != X0),
0.00/0.26	    inference('eq_res', [status(thm)], ['17'])).
0.00/0.26	tff('19', plain,
0.00/0.26	    ![X0 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.26	      X0 != 'const/realax/real_add',
0.00/0.26	    inference('simplify', [status(thm)], ['18'])).
0.00/0.26	tff('20', plain, $false, inference('eq_res', [status(thm)], ['19'])).
0.00/0.26	
0.00/0.26	% SZS output end Refutation
0.00/0.26	EOF
