0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : supatvars_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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --sup-at-vars \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n033.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:37:39 CST 2018
0.00/0.47	% done 26 iterations in 0.260s
0.00/0.47	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.47	% SZS output start Refutation
0.00/0.47	tff('thm/iterate/FINITE_SUPPORT_', axiom,
0.00/0.47	  (![A:$tType,A0:$tType,A1:((A * A) > A),A2:(A0 > A),A3:(A0 > $o)]:
0.00/0.47	     ('const/sets/FINITE'(A0,A3) =>
0.00/0.47	      'const/sets/FINITE'(A0,'const/iterate/support'(A,A0,A1,A2,A3))))).
0.00/0.47	tff('0', plain,
0.00/0.47	    ![X7 : $tType, X8 : $tType, X9 : (X8 * X8) > X8, X10 : X7 > X8, 
0.00/0.47	      X11 : X7 > $o]:
0.00/0.47	      ('const/sets/FINITE'(X7, 'const/iterate/support'(X8, X7, X9, X10, X11))
0.00/0.47	       | ~ 'const/sets/FINITE'(X7, X11)),
0.00/0.47	    inference('cnf', [status(esa)], [thm/iterate/FINITE_SUPPORT_])).
0.00/0.47	tff('thm/iterate/ITERATE_CLAUSES_GEN_', axiom,
0.00/0.47	  (![A:$tType,B:$tType,A0:((B * B) > B)]:
0.00/0.47	     ('const/iterate/monoidal'(B,A0) =>
0.00/0.47	      ((![A1:(A > B),A2:A,A3:(A > $o)]:
0.00/0.47	          (('const/sets/FINITE'(A,'const/iterate/support'(B,A,A0,A1,A3)) & 
0.00/0.47	            'const/iterate/monoidal'(B,A0)) =>
0.00/0.47	           ('const/iterate/iterate'(A,B,A0,'const/sets/INSERT'(A,A2,A3),A1) =
0.00/0.47	            'const/class/COND'(B,'const/sets/IN'(A,A2,A3),
0.00/0.47	                               'const/iterate/iterate'(A,B,A0,A3,A1),
0.00/0.47	                               A0(A1(A2),
0.00/0.47	                                  'const/iterate/iterate'(A,B,A0,A3,A1)))))) & 
0.00/0.47	       (![A1:(A > B)]:
0.00/0.47	          ('const/iterate/iterate'(A,B,A0,'const/sets/EMPTY'(A),A1) =
0.00/0.47	           'const/iterate/neutral'(B,A0))))))).
0.00/0.47	tff('1', plain,
0.00/0.47	    ![X0 : $tType, X1 : $tType, X2 : X1, X3 : X1 > $o, X4 : (X0 * X0) > X0, 
0.00/0.47	      X5 : X1 > X0]:
0.00/0.47	      ('const/iterate/iterate'(X1, X0, X4, 'const/sets/INSERT'(X1, X2, X3), 
0.00/0.47	         X5)
0.00/0.47	        = 'const/class/COND'(X0, 'const/sets/IN'(X1, X2, X3), 
0.00/0.47	            'const/iterate/iterate'(X1, X0, X4, X3, X5), 
0.00/0.47	            X4(X5(X2), 'const/iterate/iterate'(X1, X0, X4, X3, X5)))
0.00/0.47	       | ~ 'const/sets/FINITE'(X1, 
0.00/0.47	             'const/iterate/support'(X0, X1, X4, X5, X3))
0.00/0.47	       | ~ 'const/iterate/monoidal'(X0, X4)
0.00/0.47	       | ~ 'const/iterate/monoidal'(X0, X4)),
0.00/0.47	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_CLAUSES_GEN_])).
0.00/0.47	tff('2', plain,
0.00/0.47	    ![X0 : $tType, X1 : $tType, X2 : X1, X3 : X1 > $o, X4 : (X0 * X0) > X0, 
0.00/0.47	      X5 : X1 > X0]:
0.00/0.47	      (~ 'const/iterate/monoidal'(X0, X4)
0.00/0.47	       | ~ 'const/sets/FINITE'(X1, 
0.00/0.47	             'const/iterate/support'(X0, X1, X4, X5, X3))
0.00/0.47	       | 'const/iterate/iterate'(X1, X0, X4, 
0.00/0.47	           'const/sets/INSERT'(X1, X2, X3), X5)
0.00/0.47	          = 'const/class/COND'(X0, 'const/sets/IN'(X1, X2, X3), 
0.00/0.47	              'const/iterate/iterate'(X1, X0, X4, X3, X5), 
0.00/0.47	              X4(X5(X2), 'const/iterate/iterate'(X1, X0, X4, X3, X5)))),
0.00/0.47	    inference('simplify', [status(thm)], ['1'])).
0.00/0.47	tff('3', plain,
0.00/0.47	    ![X0 : $tType, X1 : $tType, X4 : (X0 * X0) > X0, X6 : X1 > X0]:
0.00/0.47	      ('const/iterate/iterate'(X1, X0, X4, 'const/sets/EMPTY'(X1), X6)
0.00/0.47	        = 'const/iterate/neutral'(X0, X4)
0.00/0.47	       | ~ 'const/iterate/monoidal'(X0, X4)),
0.00/0.47	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_CLAUSES_GEN_])).
0.00/0.47	tff('thm/iterate/ITERATE_CLAUSES_', conjecture,
0.00/0.47	  (![A:$tType,A0:$tType,A1:$tType,A2:((A1 * A1) > A1)]:
0.00/0.47	     ('const/iterate/monoidal'(A1,A2) =>
0.00/0.47	      ((![A3:(A0 > A1),A4:A0,A5:(A0 > $o)]:
0.00/0.47	          ('const/sets/FINITE'(A0,A5) =>
0.00/0.47	           ('const/iterate/iterate'(A0,A1,A2,'const/sets/INSERT'(A0,A4,A5),A3) =
0.00/0.47	            'const/class/COND'(A1,'const/sets/IN'(A0,A4,A5),
0.00/0.47	                               'const/iterate/iterate'(A0,A1,A2,A5,A3),
0.00/0.47	                               A2(A3(A4),
0.00/0.47	                                  'const/iterate/iterate'(A0,A1,A2,A5,A3)))))) & 
0.00/0.47	       (![A3:(A > A1)]:
0.00/0.47	          ('const/iterate/iterate'(A,A1,A2,'const/sets/EMPTY'(A),A3) =
0.00/0.47	           'const/iterate/neutral'(A1,A2))))))).
0.00/0.47	tff(zf_stmt_0, negated_conjecture,
0.00/0.47	  (~
0.00/0.47	    (![A:$tType,A0:$tType,A1:$tType,A2:((A1 * A1) > A1)]:
0.00/0.47	       ('const/iterate/monoidal'(A1,A2) =>
0.00/0.47	        ((![A3:(A0 > A1),A4:A0,A5:(A0 > $o)]:
0.00/0.47	            ('const/sets/FINITE'(A0,A5) =>
0.00/0.47	             ('const/iterate/iterate'(A0,A1,A2,'const/sets/INSERT'(A0,A4,A5),
0.00/0.47	                                      A3) =
0.00/0.47	              'const/class/COND'(A1,'const/sets/IN'(A0,A4,A5),
0.00/0.47	                                 'const/iterate/iterate'(A0,A1,A2,A5,A3),
0.00/0.47	                                 A2(A3(A4),
0.00/0.47	                                    'const/iterate/iterate'(A0,A1,A2,A5,A3)))))) & 
0.00/0.47	         (![A3:(A > A1)]:
0.00/0.47	            ('const/iterate/iterate'(A,A1,A2,'const/sets/EMPTY'(A),A3) =
0.00/0.47	             'const/iterate/neutral'(A1,A2)))))))).
0.00/0.47	tff('4', plain,
0.00/0.47	    ('const/iterate/iterate'(sk_A0, sk_A1, sk_A2, 
0.00/0.47	       'const/sets/INSERT'(sk_A0, sk_A4, sk_A5), sk_A3)
0.00/0.47	      != 'const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.47	           'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.47	           sk_A2(sk_A3(sk_A4), 
0.00/0.47	             'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3)))
0.00/0.47	     | 'const/iterate/iterate'(sk_A, sk_A1, sk_A2, 'const/sets/EMPTY'(sk_A), 
0.00/0.47	         sk_A31)
0.00/0.47	        != 'const/iterate/neutral'(sk_A1, sk_A2)),
0.00/0.47	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.47	tff('5', plain,
0.00/0.47	    ('const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.47	      != 'const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.47	     | ~ 'const/iterate/monoidal'(sk_A1, sk_A2)
0.00/0.47	     | 'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, 
0.00/0.47	         'const/sets/INSERT'(sk_A0, sk_A4, sk_A5), sk_A3)
0.00/0.47	        != 'const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.47	             'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.47	             sk_A2(sk_A3(sk_A4), 
0.00/0.47	               'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3)))),
0.00/0.47	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.47	tff('6', plain, 'const/iterate/monoidal'(sk_A1, sk_A2),
0.00/0.47	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.47	tff('7', plain,
0.00/0.47	    ('const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.47	      != 'const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.47	     | ~ $true
0.00/0.47	     | 'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, 
0.00/0.47	         'const/sets/INSERT'(sk_A0, sk_A4, sk_A5), sk_A3)
0.00/0.47	        != 'const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.47	             'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.47	             sk_A2(sk_A3(sk_A4), 
0.00/0.47	               'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3)))),
0.00/0.47	    inference('demod', [status(thm)], ['5', '6'])).
0.00/0.47	tff('8', plain,
0.00/0.47	    'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, 
0.00/0.47	      'const/sets/INSERT'(sk_A0, sk_A4, sk_A5), sk_A3)
0.00/0.47	     != 'const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.47	          'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.47	          sk_A2(sk_A3(sk_A4), 
0.00/0.47	            'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3))),
0.00/0.47	    inference('simplify', [status(thm)], ['7'])).
0.00/0.47	tff('9', plain,
0.00/0.47	    ('const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.47	       'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.47	       sk_A2(sk_A3(sk_A4), 
0.00/0.47	         'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3)))
0.00/0.47	      != 'const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.47	           'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.47	           sk_A2(sk_A3(sk_A4), 
0.00/0.47	             'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3)))
0.00/0.47	     | ~ 'const/sets/FINITE'(sk_A0, 
0.00/0.47	           'const/iterate/support'(sk_A1, sk_A0, sk_A2, sk_A3, sk_A5))
0.00/0.47	     | ~ 'const/iterate/monoidal'(sk_A1, sk_A2)),
0.00/0.47	    inference('sup-', [status(thm)], ['2', '8'])).
0.00/0.47	tff('10', plain,
0.00/0.47	    ('const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.47	       'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.47	       sk_A2(sk_A3(sk_A4), 
0.00/0.47	         'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3)))
0.00/0.47	      != 'const/class/COND'(sk_A1, 'const/sets/IN'(sk_A0, sk_A4, sk_A5), 
0.00/0.47	           'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3), 
0.00/0.47	           sk_A2(sk_A3(sk_A4), 
0.00/0.47	             'const/iterate/iterate'(sk_A0, sk_A1, sk_A2, sk_A5, sk_A3)))
0.00/0.47	     | ~ 'const/sets/FINITE'(sk_A0, 
0.00/0.47	           'const/iterate/support'(sk_A1, sk_A0, sk_A2, sk_A3, sk_A5))
0.00/0.47	     | ~ $true),
0.00/0.47	    inference('demod', [status(thm)], ['9', '6'])).
0.00/0.47	tff('11', plain,
0.00/0.47	    ~ 'const/sets/FINITE'(sk_A0, 
0.00/0.47	        'const/iterate/support'(sk_A1, sk_A0, sk_A2, sk_A3, sk_A5)),
0.00/0.47	    inference('simplify', [status(thm)], ['10'])).
0.00/0.47	tff('12', plain, (~ $true | ~ 'const/sets/FINITE'(sk_A0, sk_A5)),
0.00/0.47	    inference('sup-', [status(thm)], ['0', '11'])).
0.00/0.47	tff('13', plain,
0.00/0.47	    ('const/sets/FINITE'(sk_A0, sk_A5)
0.00/0.47	     | 'const/iterate/iterate'(sk_A, sk_A1, sk_A2, 'const/sets/EMPTY'(sk_A), 
0.00/0.47	         sk_A31)
0.00/0.47	        != 'const/iterate/neutral'(sk_A1, sk_A2)),
0.00/0.47	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.47	tff('14', plain,
0.00/0.47	    ('const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.47	      != 'const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.47	     | ~ 'const/iterate/monoidal'(sk_A1, sk_A2)
0.00/0.47	     | 'const/sets/FINITE'(sk_A0, sk_A5)),
0.00/0.47	    inference('sup-', [status(thm)], ['3', '13'])).
0.00/0.47	tff('15', plain,
0.00/0.47	    ('const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.47	      != 'const/iterate/neutral'(sk_A1, sk_A2)
0.00/0.47	     | ~ $true
0.00/0.47	     | 'const/sets/FINITE'(sk_A0, sk_A5)),
0.00/0.47	    inference('demod', [status(thm)], ['14', '6'])).
0.00/0.47	tff('16', plain, 'const/sets/FINITE'(sk_A0, sk_A5),
0.00/0.47	    inference('simplify', [status(thm)], ['15'])).
0.00/0.47	tff('17', plain, (~ $true | ~ $true),
0.00/0.47	    inference('demod', [status(thm)], ['12', '16'])).
0.00/0.47	tff('18', plain, $false, inference('simplify', [status(thm)], ['17'])).
0.00/0.47	
0.00/0.47	% SZS output end Refutation
0.00/0.47	EOF
