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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n130.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:45:09 CST 2018
0.00/0.23	% done 16 iterations in 0.030s
0.00/0.23	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.23	% SZS output start Refutation
0.00/0.23	tff('thm/iterate/SUM_DIFF_', conjecture,
0.00/0.23	  (![A:$tType,A0:(A > 'type/realax/real'),A1:(A > $o),A2:(A > $o)]:
0.00/0.23	     (('const/sets/SUBSET'(A,A2,A1) & 'const/sets/FINITE'(A,A1)) =>
0.00/0.23	      ('const/iterate/sum'(A,'const/sets/DIFF'(A,A1,A2),A0) =
0.00/0.23	       'const/realax/real_sub'('const/iterate/sum'(A,A1,A0),
0.00/0.23	                               'const/iterate/sum'(A,A2,A0)))))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    (![A:$tType,A0:(A > 'type/realax/real'),A1:(A > $o),A2:(A > $o)]:
0.00/0.23	       (('const/sets/SUBSET'(A,A2,A1) & 'const/sets/FINITE'(A,A1)) =>
0.00/0.23	        ('const/iterate/sum'(A,'const/sets/DIFF'(A,A1,A2),A0) =
0.00/0.23	         'const/realax/real_sub'('const/iterate/sum'(A,A1,A0),
0.00/0.23	                                 'const/iterate/sum'(A,A2,A0))))))).
0.00/0.23	tff('0', plain,
0.00/0.23	    'const/iterate/sum'(sk_A, 'const/sets/DIFF'(sk_A, sk_A1, sk_A2), sk_A0)
0.00/0.23	     != 'const/realax/real_sub'('const/iterate/sum'(sk_A, sk_A1, sk_A0), 
0.00/0.23	          'const/iterate/sum'(sk_A, sk_A2, sk_A0)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('thm/iterate/sum_', axiom,
0.00/0.23	  (![A:$tType]:
0.00/0.23	     ('const/iterate/sum'(A) =
0.00/0.23	      'const/iterate/iterate'(A,'type/realax/real','const/realax/real_add')))).
0.00/0.23	tff('1', plain,
0.00/0.23	    ![X0 : $tType]:
0.00/0.23	      'const/iterate/sum'(X0)
0.00/0.23	       = 'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.23	           'const/realax/real_add'),
0.00/0.23	    inference('cnf', [status(esa)], [thm/iterate/sum_])).
0.00/0.23	tff('2', plain,
0.00/0.23	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > 'type/realax/real']:
0.00/0.23	      'const/iterate/sum'(X0, X1, X2)
0.00/0.23	       = 'const/iterate/iterate'(X0, 'type/realax/real', 
0.00/0.23	           'const/realax/real_add', X1, X2),
0.00/0.23	    inference('ho_complete_eq', [status(thm)], ['1'])).
0.00/0.23	tff('3', plain, 'const/sets/SUBSET'(sk_A, sk_A2, sk_A1),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('thm/iterate/ITERATE_DIFF_', axiom,
0.00/0.23	  (![A:$tType,A0:$tType,A1:((A0 * A0) > A0)]:
0.00/0.23	     ('const/iterate/monoidal'(A0,A1) =>
0.00/0.23	      (![A2:(A > A0),A3:(A > $o),A4:(A > $o)]:
0.00/0.23	         (('const/sets/SUBSET'(A,A4,A3) & 'const/sets/FINITE'(A,A3)) =>
0.00/0.23	          (A1('const/iterate/iterate'(A,A0,A1,'const/sets/DIFF'(A,A3,A4),A2),
0.00/0.23	              'const/iterate/iterate'(A,A0,A1,A4,A2)) =
0.00/0.23	           'const/iterate/iterate'(A,A0,A1,A3,A2))))))).
0.00/0.23	tff('4', plain,
0.00/0.23	    ![X1 : $tType, X2 : $tType, X3 : (X2 * X2) > X2, X4 : X1 > $o, 
0.00/0.23	      X5 : X1 > X2, X6 : X1 > $o]:
0.00/0.23	      (X3(
0.00/0.23	         'const/iterate/iterate'(X1, X2, X3, 'const/sets/DIFF'(X1, X4, X6), 
0.00/0.23	           X5), 'const/iterate/iterate'(X1, X2, X3, X6, X5))
0.00/0.23	        = 'const/iterate/iterate'(X1, X2, X3, X4, X5)
0.00/0.23	       | ~ 'const/sets/SUBSET'(X1, X6, X4)
0.00/0.23	       | ~ 'const/sets/FINITE'(X1, X4)
0.00/0.23	       | ~ 'const/iterate/monoidal'(X2, X3)),
0.00/0.23	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_DIFF_])).
0.00/0.23	tff('5', plain,
0.00/0.23	    ![X1 : $tType, X2 : $tType, X3 : (X2 * X2) > X2, X4 : X1 > $o, 
0.00/0.23	      X5 : X1 > X2, X6 : X1 > $o, X7 : (X2 * X2) > X2]:
0.00/0.23	      (X7 != X3
0.00/0.23	       | X3(
0.00/0.23	           'const/iterate/iterate'(X1, X2, X7, 
0.00/0.23	             'const/sets/DIFF'(X1, X4, X6), X5), 
0.00/0.23	           'const/iterate/iterate'(X1, X2, X7, X6, X5))
0.00/0.23	          = 'const/iterate/iterate'(X1, X2, X7, X4, X5)
0.00/0.23	       | ~ 'const/sets/SUBSET'(X1, X6, X4)
0.00/0.23	       | ~ 'const/sets/FINITE'(X1, X4)
0.00/0.23	       | ~ 'const/iterate/monoidal'(X2, X7)),
0.00/0.23	    inference('ho.purify_applied_variable', [status(thm)], ['4'])).
0.00/0.23	tff('6', plain,
0.00/0.23	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : (X0 * X0) > X0, X3 : sk_A > X0]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ 'const/iterate/monoidal'(X0, X1)
0.00/0.23	       | ~ 'const/sets/FINITE'(sk_A, sk_A1)
0.00/0.23	       | X2(
0.00/0.23	           'const/iterate/iterate'(sk_A, X0, X1, 
0.00/0.23	             'const/sets/DIFF'(sk_A, sk_A1, sk_A2), X3), 
0.00/0.23	           'const/iterate/iterate'(sk_A, X0, X1, sk_A2, X3))
0.00/0.23	          = 'const/iterate/iterate'(sk_A, X0, X1, sk_A1, X3)
0.00/0.23	       | X1 != X2),
0.00/0.23	    inference('sup-', [status(thm)], ['3', '5'])).
0.00/0.23	tff('7', plain, 'const/sets/FINITE'(sk_A, sk_A1),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('8', plain,
0.00/0.23	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : (X0 * X0) > X0, X3 : sk_A > X0]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ 'const/iterate/monoidal'(X0, X1)
0.00/0.23	       | ~ $true
0.00/0.23	       | X2(
0.00/0.23	           'const/iterate/iterate'(sk_A, X0, X1, 
0.00/0.23	             'const/sets/DIFF'(sk_A, sk_A1, sk_A2), X3), 
0.00/0.23	           'const/iterate/iterate'(sk_A, X0, X1, sk_A2, X3))
0.00/0.23	          = 'const/iterate/iterate'(sk_A, X0, X1, sk_A1, X3)
0.00/0.23	       | X1 != X2),
0.00/0.23	    inference('demod', [status(thm)], ['6', '7'])).
0.00/0.23	tff('9', plain,
0.00/0.23	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : (X0 * X0) > X0, X3 : sk_A > X0]:
0.00/0.23	      (X1 != X2
0.00/0.23	       | X2(
0.00/0.23	           'const/iterate/iterate'(sk_A, X0, X1, 
0.00/0.23	             'const/sets/DIFF'(sk_A, sk_A1, sk_A2), X3), 
0.00/0.23	           'const/iterate/iterate'(sk_A, X0, X1, sk_A2, X3))
0.00/0.23	          = 'const/iterate/iterate'(sk_A, X0, X1, sk_A1, X3)
0.00/0.23	       | ~ 'const/iterate/monoidal'(X0, X1)),
0.00/0.23	    inference('simplify', [status(thm)], ['8'])).
0.00/0.23	tff('10', plain,
0.00/0.23	    ![X0 : sk_A > 'type/realax/real', 
0.00/0.23	      X1 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.23	      (X1(
0.00/0.23	         'const/iterate/sum'(sk_A, 'const/sets/DIFF'(sk_A, sk_A1, sk_A2), X0), 
0.00/0.23	         'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	           'const/realax/real_add', sk_A2, X0))
0.00/0.23	        = 'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	            'const/realax/real_add', sk_A1, X0)
0.00/0.23	       | ~ 'const/iterate/monoidal'('type/realax/real', 
0.00/0.23	             'const/realax/real_add')
0.00/0.23	       | 'const/realax/real_add' != X1),
0.00/0.23	    inference('sup+', [status(thm)], ['2', '9'])).
0.00/0.23	tff('thm/iterate/MONOIDAL_REAL_ADD_', axiom,
0.00/0.23	  ('const/iterate/monoidal'('type/realax/real','const/realax/real_add'))).
0.00/0.23	tff('11', plain,
0.00/0.23	    'const/iterate/monoidal'('type/realax/real', 'const/realax/real_add'),
0.00/0.23	    inference('cnf', [status(esa)], [thm/iterate/MONOIDAL_REAL_ADD_])).
0.00/0.23	tff('12', plain,
0.00/0.23	    ![X0 : sk_A > 'type/realax/real', 
0.00/0.23	      X1 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.23	      (X1(
0.00/0.23	         'const/iterate/sum'(sk_A, 'const/sets/DIFF'(sk_A, sk_A1, sk_A2), X0), 
0.00/0.23	         'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	           'const/realax/real_add', sk_A2, X0))
0.00/0.23	        = 'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	            'const/realax/real_add', sk_A1, X0)
0.00/0.23	       | ~ $true
0.00/0.23	       | 'const/realax/real_add' != X1),
0.00/0.23	    inference('demod', [status(thm)], ['10', '11'])).
0.00/0.23	tff('13', plain,
0.00/0.23	    ![X0 : sk_A > 'type/realax/real', 
0.00/0.23	      X1 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.23	      ('const/realax/real_add' != X1
0.00/0.23	       | X1(
0.00/0.23	           'const/iterate/sum'(sk_A, 'const/sets/DIFF'(sk_A, sk_A1, sk_A2), 
0.00/0.23	             X0), 
0.00/0.23	           'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	             'const/realax/real_add', sk_A2, X0))
0.00/0.23	          = 'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	              'const/realax/real_add', sk_A1, X0)),
0.00/0.23	    inference('simplify', [status(thm)], ['12'])).
0.00/0.23	tff('14', plain,
0.00/0.23	    ![X0 : sk_A > 'type/realax/real', 
0.00/0.23	      X1 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real', 
0.00/0.23	      X2 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.23	      (X2 != X1
0.00/0.23	       | 'const/realax/real_add' != X1
0.00/0.23	       | X2(
0.00/0.23	           'const/iterate/sum'(sk_A, 'const/sets/DIFF'(sk_A, sk_A1, sk_A2), 
0.00/0.23	             X0), 
0.00/0.23	           'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	             'const/realax/real_add', sk_A2, X0))
0.00/0.23	          = 'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	              'const/realax/real_add', sk_A1, X0)),
0.00/0.23	    inference('ho.purify_applied_variable', [status(thm)], ['13'])).
0.00/0.23	tff('thm/real/REAL_EQ_SUB_LADD_', axiom,
0.00/0.23	  (![A:'type/realax/real',A0:'type/realax/real',A1:'type/realax/real']:
0.00/0.23	     ((A = 'const/realax/real_sub'(A0,A1)) <=>
0.00/0.23	      ('const/realax/real_add'(A,A1) = A0)))).
0.00/0.23	tff('15', plain,
0.00/0.23	    ![X7 : 'type/realax/real', X8 : 'type/realax/real', 
0.00/0.23	      X10 : 'type/realax/real']:
0.00/0.23	      (X8 = 'const/realax/real_sub'(X7, X10)
0.00/0.23	       | 'const/realax/real_add'(X8, X10) != X7),
0.00/0.23	    inference('cnf', [status(esa)], [thm/real/REAL_EQ_SUB_LADD_])).
0.00/0.23	tff('16', plain,
0.00/0.23	    ![X8 : 'type/realax/real', X10 : 'type/realax/real']:
0.00/0.23	      X8 = 'const/realax/real_sub'('const/realax/real_add'(X8, X10), X10),
0.00/0.23	    inference('simplify', [status(thm)], ['15'])).
0.00/0.23	tff('17', plain,
0.00/0.23	    ![X0 : sk_A > 'type/realax/real', 
0.00/0.23	      X1 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.23	      ('const/iterate/sum'(sk_A, 'const/sets/DIFF'(sk_A, sk_A1, sk_A2), X0)
0.00/0.23	        = 'const/realax/real_sub'(
0.00/0.23	            'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	              'const/realax/real_add', sk_A1, X0), 
0.00/0.23	            'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	              'const/realax/real_add', sk_A2, X0))
0.00/0.23	       | 'const/realax/real_add' != X1
0.00/0.23	       | 'const/realax/real_add' != X1),
0.00/0.23	    inference('sup+', [status(thm)], ['14', '16'])).
0.00/0.23	tff('18', plain,
0.00/0.23	    ![X0 : sk_A > 'type/realax/real', 
0.00/0.23	      X1 : ('type/realax/real' * 'type/realax/real') > 'type/realax/real']:
0.00/0.23	      ('const/realax/real_add' != X1
0.00/0.23	       | 'const/iterate/sum'(sk_A, 'const/sets/DIFF'(sk_A, sk_A1, sk_A2), X0)
0.00/0.23	          = 'const/realax/real_sub'(
0.00/0.23	              'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	                'const/realax/real_add', sk_A1, X0), 
0.00/0.23	              'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	                'const/realax/real_add', sk_A2, X0))),
0.00/0.23	    inference('simplify', [status(thm)], ['17'])).
0.00/0.23	tff('19', plain,
0.00/0.23	    ![X0 : sk_A > 'type/realax/real']:
0.00/0.23	      'const/iterate/sum'(sk_A, 'const/sets/DIFF'(sk_A, sk_A1, sk_A2), X0)
0.00/0.23	       = 'const/realax/real_sub'(
0.00/0.23	           'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	             'const/realax/real_add', sk_A1, X0), 
0.00/0.23	           'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	             'const/realax/real_add', sk_A2, X0)),
0.00/0.23	    inference('eq_res', [status(thm)], ['18'])).
0.00/0.23	tff('20', plain,
0.00/0.23	    ![X0 : sk_A > 'type/realax/real']:
0.00/0.23	      'const/iterate/sum'(sk_A, 'const/sets/DIFF'(sk_A, sk_A1, sk_A2), X0)
0.00/0.23	       = 'const/realax/real_sub'('const/iterate/sum'(sk_A, sk_A1, X0), 
0.00/0.23	           'const/iterate/iterate'(sk_A, 'type/realax/real', 
0.00/0.23	             'const/realax/real_add', sk_A2, X0)),
0.00/0.23	    inference('sup+', [status(thm)], ['2', '19'])).
0.00/0.23	tff('21', plain,
0.00/0.23	    ![X0 : sk_A > 'type/realax/real']:
0.00/0.23	      'const/iterate/sum'(sk_A, 'const/sets/DIFF'(sk_A, sk_A1, sk_A2), X0)
0.00/0.23	       = 'const/realax/real_sub'('const/iterate/sum'(sk_A, sk_A1, X0), 
0.00/0.23	           'const/iterate/sum'(sk_A, sk_A2, X0)),
0.00/0.23	    inference('sup+', [status(thm)], ['2', '20'])).
0.00/0.23	tff('22', plain,
0.00/0.23	    'const/realax/real_sub'('const/iterate/sum'(sk_A, sk_A1, sk_A0), 
0.00/0.23	      'const/iterate/sum'(sk_A, sk_A2, sk_A0))
0.00/0.23	     != 'const/realax/real_sub'('const/iterate/sum'(sk_A, sk_A1, sk_A0), 
0.00/0.23	          'const/iterate/sum'(sk_A, sk_A2, sk_A0)),
0.00/0.23	    inference('demod', [status(thm)], ['0', '21'])).
0.00/0.23	tff('23', plain, $false, inference('simplify', [status(thm)], ['22'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.07/0.23	EOF
