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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --ho-purify int \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n084.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:45:09 CST 2018
0.00/0.29	% done 14 iterations in 0.091s
0.00/0.29	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.29	% SZS output start Refutation
0.00/0.30	tff('thm/iterate/sum_', axiom,
0.00/0.30	  (![A:$tType]:
0.00/0.30	     ('const/iterate/sum'(A) =
0.00/0.30	      'const/iterate/iterate'(A,'type/realax/real','const/realax/real_add')))).
0.00/0.30	tff('0', plain,
0.00/0.30	    ![X6 : $tType]:
0.00/0.30	      'const/iterate/sum'(X6)
0.00/0.30	       = 'const/iterate/iterate'(X6, 'type/realax/real', 
0.00/0.30	           'const/realax/real_add'),
0.00/0.30	    inference('cnf', [status(esa)], [thm/iterate/sum_])).
0.00/0.30	tff('1', plain,
0.00/0.30	    ![X6 : $tType, X7 : X6 > $o, X8 : X6 > 'type/realax/real']:
0.00/0.30	      'const/iterate/sum'(X6, X7, X8)
0.00/0.30	       = 'const/iterate/iterate'(X6, 'type/realax/real', 
0.00/0.30	           'const/realax/real_add', X7, X8),
0.00/0.30	    inference('ho_complete_eq', [status(thm)], ['0'])).
0.00/0.30	tff('thm/iterate/ITERATE_INCL_EXCL_', axiom,
0.00/0.30	  (![A:$tType,A0:$tType,A1:((A0 * A0) > A0)]:
0.00/0.30	     ('const/iterate/monoidal'(A0,A1) =>
0.00/0.30	      (![A2:(A > $o),A3:(A > $o),A4:(A > A0)]:
0.00/0.30	         (('const/sets/FINITE'(A,A3) & 'const/sets/FINITE'(A,A2)) =>
0.00/0.30	          (A1('const/iterate/iterate'(A,A0,A1,A2,A4),
0.00/0.30	              'const/iterate/iterate'(A,A0,A1,A3,A4)) =
0.00/0.30	           A1('const/iterate/iterate'(A,A0,A1,'const/sets/UNION'(A,A2,A3),A4),
0.00/0.30	              'const/iterate/iterate'(A,A0,A1,'const/sets/INTER'(A,A2,A3),A4)))))))).
0.00/0.30	tff('2', plain,
0.00/0.30	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : $tType, X3 : X2 > $o, 
0.00/0.30	      X4 : X2 > $o, X5 : X2 > X0]:
0.00/0.30	      (X1('const/iterate/iterate'(X2, X0, X1, X3, X5), 
0.00/0.30	         'const/iterate/iterate'(X2, X0, X1, X4, X5))
0.00/0.30	        = X1(
0.00/0.30	            'const/iterate/iterate'(X2, X0, X1, 
0.00/0.30	              'const/sets/UNION'(X2, X3, X4), X5), 
0.00/0.30	            'const/iterate/iterate'(X2, X0, X1, 
0.00/0.30	              'const/sets/INTER'(X2, X3, X4), X5))
0.00/0.30	       | ~ 'const/sets/FINITE'(X2, X4)
0.00/0.30	       | ~ 'const/sets/FINITE'(X2, X3)
0.00/0.30	       | ~ 'const/iterate/monoidal'(X0, X1)),
0.00/0.30	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_INCL_EXCL_])).
0.00/0.30	tff('3', plain,
0.00/0.30	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : $tType, X3 : X2 > $o, 
0.00/0.30	      X4 : X2 > $o, X5 : X2 > X0, X6 : (X0 * X0) > X0]:
0.00/0.30	      (X6 != X1
0.00/0.30	       | X1('const/iterate/iterate'(X2, X0, X6, X3, X5), 
0.00/0.30	           'const/iterate/iterate'(X2, X0, X6, X4, X5))
0.00/0.30	          = X1(
0.00/0.30	              'const/iterate/iterate'(X2, X0, X6, 
0.00/0.30	                'const/sets/UNION'(X2, X3, X4), X5), 
0.00/0.30	              'const/iterate/iterate'(X2, X0, X6, 
0.00/0.30	                'const/sets/INTER'(X2, X3, X4), X5))
0.00/0.30	       | ~ 'const/sets/FINITE'(X2, X4)
0.00/0.30	       | ~ 'const/sets/FINITE'(X2, X3)
0.00/0.30	       | ~ 'const/iterate/monoidal'(X0, X6)),
0.00/0.30	    inference('ho.purify_applied_variable', [status(thm)], ['2'])).
0.00/0.30	tff('4', plain,
0.00/0.30	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0 > $o, X3 : X0 > $o, 
0.00/0.30	      X4 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.30	      (X4(
0.00/0.30	         'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	           'const/realax/real_add', X3, X1), 
0.00/0.30	         'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	           'const/realax/real_add', X2, X1))
0.00/0.30	        = X4('const/iterate/sum'(X0, 'const/sets/UNION'(X0, X3, X2), X1), 
0.00/0.30	            'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	              'const/realax/real_add', 'const/sets/INTER'(X0, X3, X2), X1))
0.00/0.30	       | ~ 'const/iterate/monoidal'('type/realax/real', 
0.00/0.30	             'const/realax/real_add')
0.00/0.30	       | ~ 'const/sets/FINITE'(X0, X3)
0.00/0.30	       | ~ 'const/sets/FINITE'(X0, X2)
0.00/0.30	       | 'const/realax/real_add' != X4),
0.00/0.30	    inference('sup+', [status(thm)], ['1', '3'])).
0.00/0.30	tff('thm/iterate/MONOIDAL_REAL_ADD_', axiom,
0.00/0.30	  ('const/iterate/monoidal'('type/realax/real','const/realax/real_add'))).
0.00/0.30	tff('5', plain,
0.00/0.30	    'const/iterate/monoidal'('type/realax/real', 'const/realax/real_add'),
0.00/0.30	    inference('cnf', [status(esa)], [thm/iterate/MONOIDAL_REAL_ADD_])).
0.00/0.30	tff('6', plain,
0.00/0.30	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0 > $o, X3 : X0 > $o, 
0.00/0.30	      X4 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.30	      (X4(
0.00/0.30	         'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	           'const/realax/real_add', X3, X1), 
0.00/0.30	         'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	           'const/realax/real_add', X2, X1))
0.00/0.30	        = X4('const/iterate/sum'(X0, 'const/sets/UNION'(X0, X3, X2), X1), 
0.00/0.30	            'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	              'const/realax/real_add', 'const/sets/INTER'(X0, X3, X2), X1))
0.00/0.30	       | ~ $true
0.00/0.30	       | ~ 'const/sets/FINITE'(X0, X3)
0.00/0.30	       | ~ 'const/sets/FINITE'(X0, X2)
0.00/0.30	       | 'const/realax/real_add' != X4),
0.00/0.30	    inference('demod', [status(thm)], ['4', '5'])).
0.00/0.30	tff('7', plain,
0.00/0.30	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0 > $o, X3 : X0 > $o, 
0.00/0.30	      X4 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.30	      ('const/realax/real_add' != X4
0.00/0.30	       | ~ 'const/sets/FINITE'(X0, X2)
0.00/0.30	       | ~ 'const/sets/FINITE'(X0, X3)
0.00/0.30	       | X4(
0.00/0.30	           'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	             'const/realax/real_add', X3, X1), 
0.00/0.30	           'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	             'const/realax/real_add', X2, X1))
0.00/0.30	          = X4('const/iterate/sum'(X0, 'const/sets/UNION'(X0, X3, X2), X1), 
0.00/0.30	              'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	                'const/realax/real_add', 'const/sets/INTER'(X0, X3, X2), X1))),
0.00/0.30	    inference('simplify', [status(thm)], ['6'])).
0.00/0.30	tff('8', plain,
0.00/0.30	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0 > $o, X3 : X0 > $o, 
0.00/0.30	      X4 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.30	      X5 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.30	      X6 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.30	      (X6 != X4
0.00/0.30	       | X5 != X4
0.00/0.30	       | 'const/realax/real_add' != X4
0.00/0.30	       | ~ 'const/sets/FINITE'(X0, X2)
0.00/0.30	       | ~ 'const/sets/FINITE'(X0, X3)
0.00/0.30	       | X5(
0.00/0.30	           'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	             'const/realax/real_add', X3, X1), 
0.00/0.30	           'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	             'const/realax/real_add', X2, X1))
0.00/0.30	          = X6('const/iterate/sum'(X0, 'const/sets/UNION'(X0, X3, X2), X1), 
0.00/0.30	              'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	                'const/realax/real_add', 'const/sets/INTER'(X0, X3, X2), X1))),
0.00/0.30	    inference('ho.purify_applied_variable', [status(thm)], ['7'])).
0.00/0.30	tff('9', plain,
0.00/0.30	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0 > $o, 
0.00/0.30	      X3 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.30	      X4 : X0 > $o, 
0.00/0.30	      X5 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.30	      X6 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.30	      (X5('const/iterate/sum'(X0, X2, X1), 
0.00/0.30	         'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	           'const/realax/real_add', X4, X1))
0.00/0.30	        = X3('const/iterate/sum'(X0, 'const/sets/UNION'(X0, X2, X4), X1), 
0.00/0.30	            'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	              'const/realax/real_add', 'const/sets/INTER'(X0, X2, X4), X1))
0.00/0.30	       | ~ 'const/sets/FINITE'(X0, X2)
0.00/0.30	       | ~ 'const/sets/FINITE'(X0, X4)
0.00/0.30	       | 'const/realax/real_add' != X6
0.00/0.30	       | X5 != X6
0.00/0.30	       | X3 != X6),
0.00/0.30	    inference('sup+', [status(thm)], ['1', '8'])).
0.00/0.30	tff('10', plain,
0.00/0.30	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0 > $o, 
0.00/0.30	      X3 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.30	      X4 : X0 > $o, 
0.00/0.30	      X5 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.30	      X6 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.30	      (X5('const/iterate/sum'(X0, X4, X1), 'const/iterate/sum'(X0, X2, X1))
0.00/0.30	        = X3('const/iterate/sum'(X0, 'const/sets/UNION'(X0, X4, X2), X1), 
0.00/0.30	            'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.30	              'const/realax/real_add', 'const/sets/INTER'(X0, X4, X2), X1))
0.00/0.30	       | X3 != X6
0.00/0.30	       | X5 != X6
0.00/0.30	       | 'const/realax/real_add' != X6
0.00/0.30	       | ~ 'const/sets/FINITE'(X0, X2)
0.00/0.30	       | ~ 'const/sets/FINITE'(X0, X4)),
0.00/0.30	    inference('sup+', [status(thm)], ['1', '9'])).
0.00/0.30	tff('11', plain,
0.00/0.30	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : X0 > $o, X3 : X0 > $o, 
0.00/0.30	      X4 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.30	      X5 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.30	      X6 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.30	      (X5('const/iterate/sum'(X0, X3, X1), 'const/iterate/sum'(X0, X2, X1))
0.00/0.30	        = X4('const/iterate/sum'(X0, 'const/sets/UNION'(X0, X3, X2), X1), 
0.00/0.30	            'const/iterate/sum'(X0, 'const/sets/INTER'(X0, X3, X2), X1))
0.00/0.30	       | ~ 'const/sets/FINITE'(X0, X3)
0.00/0.30	       | ~ 'const/sets/FINITE'(X0, X2)
0.00/0.30	       | 'const/realax/real_add' != X6
0.00/0.30	       | X5 != X6
0.00/0.30	       | X4 != X6),
0.00/0.30	    inference('sup+', [status(thm)], ['1', '10'])).
0.00/0.30	tff('thm/iterate/SUM_INCL_EXCL_', conjecture,
0.00/0.30	  (![A:$tType,A0:(A > $o),A1:(A > $o),A2:(A > 'type/realax/real')]:
0.00/0.30	     (('const/sets/FINITE'(A,A1) & 'const/sets/FINITE'(A,A0)) =>
0.00/0.30	      ('const/realax/real_add'('const/iterate/sum'(A,A0,A2),
0.00/0.30	                               'const/iterate/sum'(A,A1,A2)) =
0.00/0.30	       'const/realax/real_add'('const/iterate/sum'(A,
0.00/0.30	                                                   'const/sets/UNION'(
0.00/0.30	                                                   A,A0,A1),A2),
0.00/0.30	                               'const/iterate/sum'(A,
0.00/0.30	                                                   'const/sets/INTER'(
0.00/0.30	                                                   A,A0,A1),A2)))))).
0.00/0.30	tff(zf_stmt_0, negated_conjecture,
0.00/0.30	  (~
0.00/0.30	    (![A:$tType,A0:(A > $o),A1:(A > $o),A2:(A > 'type/realax/real')]:
0.00/0.30	       (('const/sets/FINITE'(A,A1) & 'const/sets/FINITE'(A,A0)) =>
0.00/0.30	        ('const/realax/real_add'('const/iterate/sum'(A,A0,A2),
0.00/0.30	                                 'const/iterate/sum'(A,A1,A2)) =
0.00/0.30	         'const/realax/real_add'('const/iterate/sum'(A,
0.00/0.30	                                                     'const/sets/UNION'(
0.00/0.30	                                                     A,A0,A1),A2),
0.00/0.30	                                 'const/iterate/sum'(A,
0.00/0.30	                                                     'const/sets/INTER'(
0.00/0.30	                                                     A,A0,A1),A2))))))).
0.00/0.30	tff('12', plain,
0.00/0.30	    'const/realax/real_add'('const/iterate/sum'(sk_A, sk_A0, sk_A2), 
0.00/0.30	      'const/iterate/sum'(sk_A, sk_A1, sk_A2))
0.00/0.30	     != 'const/realax/real_add'(
0.00/0.30	          'const/iterate/sum'(sk_A, 'const/sets/UNION'(sk_A, sk_A0, sk_A1), 
0.00/0.30	            sk_A2), 
0.00/0.30	          'const/iterate/sum'(sk_A, 'const/sets/INTER'(sk_A, sk_A0, sk_A1), 
0.00/0.30	            sk_A2)),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('13', plain,
0.00/0.30	    ![X0 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.30	      X1 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.30	      ('const/realax/real_add'('const/iterate/sum'(sk_A, sk_A0, sk_A2), 
0.00/0.30	         'const/iterate/sum'(sk_A, sk_A1, sk_A2))
0.00/0.30	        != X0('const/iterate/sum'(sk_A, sk_A0, sk_A2), 
0.00/0.30	             'const/iterate/sum'(sk_A, sk_A1, sk_A2))
0.00/0.30	       | 'const/realax/real_add' != X1
0.00/0.30	       | X0 != X1
0.00/0.30	       | 'const/realax/real_add' != X1
0.00/0.30	       | ~ 'const/sets/FINITE'(sk_A, sk_A1)
0.00/0.30	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.00/0.30	    inference('sup-', [status(thm)], ['11', '12'])).
0.00/0.30	tff('14', plain, 'const/sets/FINITE'(sk_A, sk_A1),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('15', plain, 'const/sets/FINITE'(sk_A, sk_A0),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('16', plain,
0.00/0.30	    ![X0 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.30	      X1 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.30	      ('const/realax/real_add'('const/iterate/sum'(sk_A, sk_A0, sk_A2), 
0.00/0.30	         'const/iterate/sum'(sk_A, sk_A1, sk_A2))
0.00/0.30	        != X0('const/iterate/sum'(sk_A, sk_A0, sk_A2), 
0.00/0.30	             'const/iterate/sum'(sk_A, sk_A1, sk_A2))
0.00/0.30	       | 'const/realax/real_add' != X1
0.00/0.30	       | X0 != X1
0.00/0.30	       | 'const/realax/real_add' != X1
0.00/0.30	       | ~ $true
0.00/0.30	       | ~ $true),
0.00/0.30	    inference('demod', [status(thm)], ['13', '14', '15'])).
0.00/0.30	tff('17', plain,
0.00/0.30	    ![X0 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.30	      X1 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.30	      (X0 != X1
0.00/0.30	       | 'const/realax/real_add' != X1
0.00/0.30	       | 'const/realax/real_add'('const/iterate/sum'(sk_A, sk_A0, sk_A2), 
0.00/0.30	           'const/iterate/sum'(sk_A, sk_A1, sk_A2))
0.00/0.30	          != X0('const/iterate/sum'(sk_A, sk_A0, sk_A2), 
0.00/0.30	               'const/iterate/sum'(sk_A, sk_A1, sk_A2))),
0.00/0.30	    inference('simplify', [status(thm)], ['16'])).
0.00/0.30	tff('18', plain,
0.00/0.30	    ![X0 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.30	      ('const/realax/real_add' != X0 | 'const/realax/real_add' != X0),
0.00/0.30	    inference('eq_res', [status(thm)], ['17'])).
0.00/0.30	tff('19', plain,
0.00/0.30	    ![X0 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.30	      'const/realax/real_add' != X0,
0.00/0.30	    inference('simplify', [status(thm)], ['18'])).
0.00/0.30	tff('20', plain, $false, inference('eq_res', [status(thm)], ['19'])).
0.00/0.30	
0.00/0.30	% SZS output end Refutation
0.00/0.30	EOF
