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    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% 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-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.19	% Computer   : n077.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:37:40 CST 2018
0.00/0.22	% done 23 iterations in 0.020s
0.00/0.22	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff('thm/iterate/FINITE_SUPPORT_', axiom,
0.00/0.22	  (![A:$tType,A0:$tType,A1:((A * A) > A),A2:(A0 > A),A3:(A0 > $o)]:
0.00/0.22	     ('const/sets/FINITE'(A0,A3) =>
0.00/0.22	      'const/sets/FINITE'(A0,'const/iterate/support'(A,A0,A1,A2,A3))))).
0.00/0.22	tff('0', plain,
0.00/0.22	    ![X7 : $tType, X8 : $tType, X9 : (X8 * X8) > X8, X10 : X7 > X8, 
0.00/0.22	      X11 : X7 > $o]:
0.00/0.22	      ('const/sets/FINITE'(X7, 'const/iterate/support'(X8, X7, X9, X10, X11))
0.00/0.22	       | ~ 'const/sets/FINITE'(X7, X11)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/iterate/FINITE_SUPPORT_])).
0.00/0.22	tff('thm/iterate/ITERATE_CLAUSES_GEN_', axiom,
0.00/0.22	  (![A:$tType,B:$tType,A0:((B * B) > B)]:
0.00/0.22	     ('const/iterate/monoidal'(B,A0) =>
0.00/0.22	      ((![A1:(A > B),A2:A,A3:(A > $o)]:
0.00/0.22	          (('const/sets/FINITE'(A,'const/iterate/support'(B,A,A0,A1,A3)) & 
0.00/0.22	            'const/iterate/monoidal'(B,A0)) =>
0.00/0.22	           ('const/iterate/iterate'(A,B,A0,'const/sets/INSERT'(A,A2,A3),A1) =
0.00/0.22	            'const/class/COND'(B,'const/sets/IN'(A,A2,A3),
0.00/0.22	                               'const/iterate/iterate'(A,B,A0,A3,A1),
0.00/0.22	                               A0(A1(A2),
0.00/0.22	                                  'const/iterate/iterate'(A,B,A0,A3,A1)))))) & 
0.00/0.22	       (![A1:(A > B)]:
0.00/0.22	          ('const/iterate/iterate'(A,B,A0,'const/sets/EMPTY'(A),A1) =
0.00/0.22	           'const/iterate/neutral'(B,A0))))))).
0.00/0.22	tff('1', plain,
0.00/0.22	    ![X0 : $tType, X1 : $tType, X2 : X1, X3 : X1 > $o, X4 : (X0 * X0) > X0, 
0.00/0.22	      X5 : X1 > X0]:
0.00/0.22	      ('const/iterate/iterate'(X1, X0, X4, 'const/sets/INSERT'(X1, X2, X3), 
0.00/0.22	         X5)
0.00/0.22	        = 'const/class/COND'(X0, 'const/sets/IN'(X1, X2, X3), 
0.00/0.22	            'const/iterate/iterate'(X1, X0, X4, X3, X5), 
0.00/0.22	            X4(X5(X2), 'const/iterate/iterate'(X1, X0, X4, X3, X5)))
0.00/0.22	       | ~ 'const/sets/FINITE'(X1, 
0.00/0.22	             'const/iterate/support'(X0, X1, X4, X5, X3))
0.00/0.22	       | ~ 'const/iterate/monoidal'(X0, X4)
0.00/0.22	       | ~ 'const/iterate/monoidal'(X0, X4)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_CLAUSES_GEN_])).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X0 : $tType, X1 : $tType, X2 : X1, X3 : X1 > $o, X4 : (X0 * X0) > X0, 
0.00/0.22	      X5 : X1 > X0]:
0.00/0.22	      (~ 'const/iterate/monoidal'(X0, X4)
0.00/0.22	       | ~ 'const/sets/FINITE'(X1, 
0.00/0.22	             'const/iterate/support'(X0, X1, X4, X5, X3))
0.00/0.22	       | 'const/iterate/iterate'(X1, X0, X4, 
0.00/0.22	           'const/sets/INSERT'(X1, X2, X3), X5)
0.00/0.22	          = 'const/class/COND'(X0, 'const/sets/IN'(X1, X2, X3), 
0.00/0.22	              'const/iterate/iterate'(X1, X0, X4, X3, X5), 
0.00/0.22	              X4(X5(X2), 'const/iterate/iterate'(X1, X0, X4, X3, X5)))),
0.00/0.22	    inference('simplify', [status(thm)], ['1'])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X0 > X2, 
0.00/0.22	      X4 : (X2 * X2) > X2, X5 : X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ 'const/sets/FINITE'(X0, X1)
0.00/0.22	       | 'const/iterate/iterate'(X0, X2, X4, 
0.00/0.22	           'const/sets/INSERT'(X0, X5, X1), X3)
0.00/0.22	          = 'const/class/COND'(X2, 'const/sets/IN'(X0, X5, X1), 
0.00/0.22	              'const/iterate/iterate'(X0, X2, X4, X1, X3), 
0.00/0.22	              X4(X3(X5), 'const/iterate/iterate'(X0, X2, X4, X1, X3)))
0.00/0.22	       | ~ 'const/iterate/monoidal'(X2, X4)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '2'])).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X0 > X2, 
0.00/0.22	      X4 : (X2 * X2) > X2, X5 : X0]:
0.00/0.22	      (~ 'const/iterate/monoidal'(X2, X4)
0.00/0.22	       | 'const/iterate/iterate'(X0, X2, X4, 
0.00/0.22	           'const/sets/INSERT'(X0, X5, X1), X3)
0.00/0.22	          = 'const/class/COND'(X2, 'const/sets/IN'(X0, X5, X1), 
0.00/0.22	              'const/iterate/iterate'(X0, X2, X4, X1, X3), 
0.00/0.22	              X4(X3(X5), 'const/iterate/iterate'(X0, X2, X4, X1, X3)))
0.00/0.22	       | ~ 'const/sets/FINITE'(X0, X1)),
0.00/0.22	    inference('simplify', [status(thm)], ['3'])).
0.00/0.22	tff('thm/iterate/ITERATE_CLAUSES_', conjecture,
0.00/0.22	  (![A:$tType,A0:$tType,A1:$tType,A2:((A1 * A1) > A1)]:
0.00/0.22	     ('const/iterate/monoidal'(A1,A2) =>
0.00/0.22	      ((![A3:(A0 > A1),A4:A0,A5:(A0 > $o)]:
0.00/0.22	          ('const/sets/FINITE'(A0,A5) =>
0.00/0.22	           ('const/iterate/iterate'(A0,A1,A2,'const/sets/INSERT'(A0,A4,A5),A3) =
0.00/0.22	            'const/class/COND'(A1,'const/sets/IN'(A0,A4,A5),
0.00/0.22	                               'const/iterate/iterate'(A0,A1,A2,A5,A3),
0.00/0.22	                               A2(A3(A4),
0.00/0.22	                                  'const/iterate/iterate'(A0,A1,A2,A5,A3)))))) & 
0.00/0.22	       (![A3:(A > A1)]:
0.00/0.22	          ('const/iterate/iterate'(A,A1,A2,'const/sets/EMPTY'(A),A3) =
0.00/0.22	           'const/iterate/neutral'(A1,A2))))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (![A:$tType,A0:$tType,A1:$tType,A2:((A1 * A1) > A1)]:
0.00/0.22	       ('const/iterate/monoidal'(A1,A2) =>
0.00/0.22	        ((![A3:(A0 > A1),A4:A0,A5:(A0 > $o)]:
0.00/0.22	            ('const/sets/FINITE'(A0,A5) =>
0.00/0.22	             ('const/iterate/iterate'(A0,A1,A2,'const/sets/INSERT'(A0,A4,A5),
0.00/0.22	                                      A3) =
0.00/0.22	              'const/class/COND'(A1,'const/sets/IN'(A0,A4,A5),
0.00/0.22	                                 'const/iterate/iterate'(A0,A1,A2,A5,A3),
0.00/0.22	                                 A2(A3(A4),
0.00/0.22	                                    'const/iterate/iterate'(A0,A1,A2,A5,A3)))))) & 
0.00/0.22	         (![A3:(A > A1)]:
0.00/0.22	            ('const/iterate/iterate'(A,A1,A2,'const/sets/EMPTY'(A),A3) =
0.00/0.22	             'const/iterate/neutral'(A1,A2)))))))).
0.00/0.22	tff('5', plain,
0.00/0.22	    ('const/iterate/iterate'(sk_A0, sk_A1, sk_A2, 
0.00/0.22	       'const/sets/INSERT'(sk_A0, sk_A4, sk_A5), sk_A3)
0.00/0.22	      != 'const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.22	           'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.22	           sk_A2(sk_A3(sk_A4), 
0.00/0.22	             'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3)))
0.00/0.22	     | 'const/iterate/iterate'(sk_A, sk_A1, sk_A2, 'const/sets/EMPTY'(sk_A), 
0.00/0.22	         sk_A31)
0.00/0.22	        != 'const/iterate/neutral'(sk_A1, sk_A2)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X0 : $tType, X1 : $tType, X4 : (X0 * X0) > X0, X6 : X1 > X0]:
0.00/0.22	      ('const/iterate/iterate'(X1, X0, X4, 'const/sets/EMPTY'(X1), X6)
0.00/0.22	        = 'const/iterate/neutral'(X0, X4)
0.00/0.22	       | ~ 'const/iterate/monoidal'(X0, X4)),
0.00/0.22	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_CLAUSES_GEN_])).
0.00/0.22	tff('7', plain, 'const/iterate/monoidal'(sk_A1, sk_A2),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X0 : $tType, X1 : $tType, X2 : X1 > X0, X3 : (X0 * X0) > X0, 
0.00/0.22	      X4 : $tType, X5 : X4 > X0]:
0.00/0.22	      ('const/iterate/iterate'(X4, X0, X3, 'const/sets/EMPTY'(X4), X5)
0.00/0.22	        = 'const/iterate/iterate'(X1, X0, X3, 'const/sets/EMPTY'(X1), X2)
0.00/0.22	       | ~ 'const/iterate/monoidal'(X0, X3)
0.00/0.22	       | ~ 'const/iterate/monoidal'(X0, X3)),
0.00/0.22	    inference('sup+', [status(thm)], ['6', '6'])).
0.00/0.22	tff('9', plain,
0.00/0.22	    ![X0 : $tType, X1 : $tType, X2 : X1 > X0, X3 : (X0 * X0) > X0, 
0.00/0.22	      X4 : $tType, X5 : X4 > X0]:
0.00/0.22	      (~ 'const/iterate/monoidal'(X0, X3)
0.00/0.22	       | 'const/iterate/iterate'(X4, X0, X3, 'const/sets/EMPTY'(X4), X5)
0.00/0.22	          = 'const/iterate/iterate'(X1, X0, X3, 'const/sets/EMPTY'(X1), X2)),
0.00/0.22	    inference('simplify', [status(thm)], ['8'])).
0.00/0.22	tff('10', plain,
0.00/0.22	    ![X0 : $tType, X1 : X0 > sk_A1, X2 : $tType, X3 : X2 > sk_A1]:
0.00/0.22	      (~ $true
0.00/0.22	       | 'const/iterate/iterate'(X0, sk_A1, sk_A2, 'const/sets/EMPTY'(X0), 
0.00/0.22	           X1)
0.00/0.22	          = 'const/iterate/iterate'(X2, sk_A1, sk_A2, 
0.00/0.22	              'const/sets/EMPTY'(X2), X3)),
0.00/0.22	    inference('sup-', [status(thm)], ['7', '9'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X0 : $tType, X1 : X0 > sk_A1, X2 : $tType, X3 : X2 > sk_A1]:
0.00/0.22	      'const/iterate/iterate'(X0, sk_A1, sk_A2, 'const/sets/EMPTY'(X0), X1)
0.00/0.22	       = 'const/iterate/iterate'(X2, sk_A1, sk_A2, 'const/sets/EMPTY'(X2), 
0.00/0.22	           X3),
0.00/0.22	    inference('simplify', [status(thm)], ['10'])).
0.00/0.22	tff('12', plain,
0.00/0.22	    ![X0 : $tType, X1 : X0 > sk_A1]:
0.00/0.22	      ('const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.22	        = 'const/iterate/iterate'(X0, sk_A1, sk_A2, 'const/sets/EMPTY'(X0), 
0.00/0.22	            X1)
0.00/0.22	       | ~ 'const/iterate/monoidal'(sk_A1, sk_A2)),
0.00/0.22	    inference('sup+', [status(thm)], ['6', '11'])).
0.00/0.22	tff('13', plain,
0.00/0.22	    ![X0 : $tType, X1 : X0 > sk_A1]:
0.00/0.22	      ('const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.22	        = 'const/iterate/iterate'(X0, sk_A1, sk_A2, 'const/sets/EMPTY'(X0), 
0.00/0.22	            X1)
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['12', '7'])).
0.00/0.22	tff('14', plain,
0.00/0.22	    ![X0 : $tType, X1 : X0 > sk_A1]:
0.00/0.22	      'const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.22	       = 'const/iterate/iterate'(X0, sk_A1, sk_A2, 'const/sets/EMPTY'(X0), 
0.00/0.22	           X1),
0.00/0.22	    inference('simplify', [status(thm)], ['13'])).
0.00/0.22	tff('15', plain,
0.00/0.22	    ('const/iterate/iterate'(sk_A0, sk_A1, sk_A2, 
0.00/0.22	       'const/sets/INSERT'(sk_A0, sk_A4, sk_A5), sk_A3)
0.00/0.22	      != 'const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.22	           'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.22	           sk_A2(sk_A3(sk_A4), 
0.00/0.22	             'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3)))
0.00/0.22	     | 'const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.22	        != 'const/iterate/neutral'(sk_A1, sk_A2)),
0.00/0.22	    inference('demod', [status(thm)], ['5', '14'])).
0.00/0.22	tff('16', plain,
0.00/0.22	    'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, 
0.00/0.22	      'const/sets/INSERT'(sk_A0, sk_A4, sk_A5), sk_A3)
0.00/0.22	     != 'const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.22	          'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.22	          sk_A2(sk_A3(sk_A4), 
0.00/0.22	            'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3))),
0.00/0.22	    inference('simplify', [status(thm)], ['15'])).
0.00/0.22	tff('17', plain,
0.00/0.22	    ('const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.22	       'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.22	       sk_A2(sk_A3(sk_A4), 
0.00/0.22	         'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3)))
0.00/0.22	      != 'const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.22	           'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.22	           sk_A2(sk_A3(sk_A4), 
0.00/0.22	             'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3)))
0.00/0.22	     | ~ 'const/sets/FINITE'(sk_A0, sk_A5)
0.00/0.22	     | ~ 'const/iterate/monoidal'(sk_A1, sk_A2)),
0.00/0.22	    inference('sup-', [status(thm)], ['4', '16'])).
0.00/0.22	tff('18', plain,
0.00/0.22	    ('const/sets/FINITE'(sk_A0, sk_A5)
0.00/0.22	     | 'const/iterate/iterate'(sk_A, sk_A1, sk_A2, 'const/sets/EMPTY'(sk_A), 
0.00/0.22	         sk_A31)
0.00/0.22	        != 'const/iterate/neutral'(sk_A1, sk_A2)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('19', plain,
0.00/0.22	    ('const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.22	      != 'const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.22	     | ~ 'const/iterate/monoidal'(sk_A1, sk_A2)
0.00/0.22	     | 'const/sets/FINITE'(sk_A0, sk_A5)),
0.00/0.22	    inference('sup-', [status(thm)], ['6', '18'])).
0.00/0.22	tff('20', plain,
0.00/0.22	    ('const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.22	      != 'const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.22	     | ~ $true
0.00/0.22	     | 'const/sets/FINITE'(sk_A0, sk_A5)),
0.00/0.22	    inference('demod', [status(thm)], ['19', '7'])).
0.00/0.22	tff('21', plain, 'const/sets/FINITE'(sk_A0, sk_A5),
0.00/0.22	    inference('simplify', [status(thm)], ['20'])).
0.00/0.22	tff('22', plain,
0.00/0.22	    ('const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.22	       'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.22	       sk_A2(sk_A3(sk_A4), 
0.00/0.22	         'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3)))
0.00/0.22	      != 'const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.22	           'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.22	           sk_A2(sk_A3(sk_A4), 
0.00/0.22	             'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3)))
0.00/0.22	     | ~ $true
0.00/0.22	     | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['17', '21', '7'])).
0.00/0.22	tff('23', plain, $false, inference('simplify', [status(thm)], ['22'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
