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_ext
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n029.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 08:05:23 CST 2018
9.54/9.77	% done 303 iterations in 9.567s
9.54/9.77	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
9.54/9.77	% SZS output start Refutation
9.54/9.77	tff('thm/lists/HD_', axiom,
9.54/9.77	  (![A:$tType,A0:'type/ind_types/list'(A),A1:A]:
9.54/9.77	     ('const/lists/HD'(A,'const/ind_types/CONS'(A,A1,A0)) = A1))).
9.54/9.77	tff('0', plain,
9.54/9.77	    ![X3 : $tType, X4 : X3, X5 : 'type/ind_types/list'(X3)]:
9.54/9.77	      'const/lists/HD'(X3, 'const/ind_types/CONS'(X3, X4, X5)) = X4,
9.54/9.77	    inference('cnf', [status(esa)], [thm/lists/HD_])).
9.54/9.77	tff('thm/lists/MAP2_DEF_1', axiom,
9.54/9.77	  (![A:$tType,A0:$tType,A1:$tType,A2:A0,A3:((A0 * A1) > A),
9.54/9.77	     A4:'type/ind_types/list'(A0),A5:'type/ind_types/list'(A1)]:
9.54/9.77	     ('const/lists/MAP2'(A0,A1,A,A3,'const/ind_types/CONS'(A0,A2,A4),A5) =
9.54/9.77	      'const/ind_types/CONS'(A,A3(A2,'const/lists/HD'(A1,A5)),
9.54/9.77	                             'const/lists/MAP2'(A0,A1,A,A3,A4,
9.54/9.77	                                                'const/lists/TL'(A1,A5)))))).
9.54/9.77	tff('1', plain,
9.54/9.77	    ![X6 : $tType, X7 : $tType, X8 : $tType, X9 : (X7 * X8) > X6, X10 : X7, 
9.54/9.77	      X11 : 'type/ind_types/list'(X8), X12 : 'type/ind_types/list'(X7)]:
9.54/9.77	      'const/lists/MAP2'(X7, X8, X6, X9, 
9.54/9.77	        'const/ind_types/CONS'(X7, X10, X12), X11)
9.54/9.77	       = 'const/ind_types/CONS'(X6, X9(X10, 'const/lists/HD'(X8, X11)), 
9.54/9.77	           'const/lists/MAP2'(X7, X8, X6, X9, X12, 'const/lists/TL'(X8, X11))),
9.54/9.77	    inference('cnf', [status(esa)], [thm/lists/MAP2_DEF_1])).
9.54/9.77	tff('2', plain,
9.54/9.77	    ![X6 : $tType, X7 : $tType, X8 : $tType, X9 : (X7 * X8) > X6, X10 : X7, 
9.54/9.77	      X11 : 'type/ind_types/list'(X8), X12 : 'type/ind_types/list'(X7), 
9.54/9.77	      X13 : (X7 * X8) > X6]:
9.54/9.77	      (X13 != X9
9.54/9.77	       | 'const/lists/MAP2'(X7, X8, X6, X9, 
9.54/9.77	           'const/ind_types/CONS'(X7, X10, X12), X11)
9.54/9.77	          = 'const/ind_types/CONS'(X6, X13(X10, 'const/lists/HD'(X8, X11)), 
9.54/9.77	              'const/lists/MAP2'(X7, X8, X6, X9, X12, 
9.54/9.77	                'const/lists/TL'(X8, X11)))),
9.54/9.77	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
9.54/9.77	tff('3', plain,
9.54/9.77	    ![X0 : $tType, X1 : X0, X2 : $tType, X3 : 'type/ind_types/list'(X0), 
9.54/9.77	      X4 : $tType, X5 : 'type/ind_types/list'(X4), X6 : (X4 * X0) > X2, 
9.54/9.77	      X7 : (X4 * X0) > X2, X8 : X4]:
9.54/9.77	      ('const/lists/MAP2'(X4, X0, X2, X6, 
9.54/9.77	         'const/ind_types/CONS'(X4, X8, X5), 
9.54/9.77	         'const/ind_types/CONS'(X0, X1, X3))
9.54/9.77	        = 'const/ind_types/CONS'(X2, X7(X8, X1), 
9.54/9.77	            'const/lists/MAP2'(X4, X0, X2, X6, X5, 
9.54/9.77	              'const/lists/TL'(X0, 'const/ind_types/CONS'(X0, X1, X3))))
9.54/9.77	       | X7 != X6),
9.54/9.77	    inference('sup+', [status(thm)], ['0', '2'])).
9.54/9.77	tff('thm/lists/TL_', axiom,
9.54/9.77	  (![A:$tType,A0:A,A1:'type/ind_types/list'(A)]:
9.54/9.77	     ('const/lists/TL'(A,'const/ind_types/CONS'(A,A0,A1)) = A1))).
9.54/9.77	tff('4', plain,
9.54/9.77	    ![X0 : $tType, X1 : 'type/ind_types/list'(X0), X2 : X0]:
9.54/9.77	      'const/lists/TL'(X0, 'const/ind_types/CONS'(X0, X2, X1)) = X1,
9.54/9.77	    inference('cnf', [status(esa)], [thm/lists/TL_])).
9.54/9.77	tff('5', plain,
9.54/9.77	    ![X0 : $tType, X1 : X0, X2 : $tType, X3 : 'type/ind_types/list'(X0), 
9.54/9.77	      X4 : $tType, X5 : 'type/ind_types/list'(X4), X6 : (X4 * X0) > X2, 
9.54/9.77	      X7 : (X4 * X0) > X2, X8 : X4]:
9.54/9.77	      ('const/lists/MAP2'(X4, X0, X2, X6, 
9.54/9.77	         'const/ind_types/CONS'(X4, X8, X5), 
9.54/9.77	         'const/ind_types/CONS'(X0, X1, X3))
9.54/9.77	        = 'const/ind_types/CONS'(X2, X7(X8, X1), 
9.54/9.77	            'const/lists/MAP2'(X4, X0, X2, X6, X5, X3))
9.54/9.77	       | X7 != X6),
9.54/9.77	    inference('demod', [status(thm)], ['3', '4'])).
9.54/9.77	tff('thm/lists/MAP2_1', conjecture,
9.54/9.77	  (![A:$tType,A0:$tType,A1:$tType,A2:A0,A3:A1,A4:((A0 * A1) > A),
9.54/9.77	     A5:'type/ind_types/list'(A0),A6:'type/ind_types/list'(A1)]:
9.54/9.77	     ('const/lists/MAP2'(A0,A1,A,A4,'const/ind_types/CONS'(A0,A2,A5),
9.54/9.77	                         'const/ind_types/CONS'(A1,A3,A6)) =
9.54/9.77	      'const/ind_types/CONS'(A,A4(A2,A3),'const/lists/MAP2'(A0,A1,A,A4,A5,A6))))).
9.54/9.77	tff(zf_stmt_0, negated_conjecture,
9.54/9.77	  (~
9.54/9.77	    (![A:$tType,A0:$tType,A1:$tType,A2:A0,A3:A1,A4:((A0 * A1) > A),
9.54/9.77	       A5:'type/ind_types/list'(A0),A6:'type/ind_types/list'(A1)]:
9.54/9.77	       ('const/lists/MAP2'(A0,A1,A,A4,'const/ind_types/CONS'(A0,A2,A5),
9.54/9.77	                           'const/ind_types/CONS'(A1,A3,A6)) =
9.54/9.77	        'const/ind_types/CONS'(A,A4(A2,A3),
9.54/9.77	                               'const/lists/MAP2'(A0,A1,A,A4,A5,A6)))))).
9.54/9.77	tff('6', plain,
9.54/9.77	    'const/lists/MAP2'(sk_A0, sk_A1, sk_A, sk_A4, 
9.54/9.77	      'const/ind_types/CONS'(sk_A0, sk_A2, sk_A5), 
9.54/9.77	      'const/ind_types/CONS'(sk_A1, sk_A3, sk_A6))
9.54/9.77	     != 'const/ind_types/CONS'(sk_A, sk_A4(sk_A2, sk_A3), 
9.54/9.77	          'const/lists/MAP2'(sk_A0, sk_A1, sk_A, sk_A4, sk_A5, sk_A6)),
9.54/9.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
9.54/9.77	tff('7', plain,
9.54/9.77	    ![X0 : (sk_A0 * sk_A1) > sk_A]:
9.54/9.77	      ('const/ind_types/CONS'(sk_A, X0(sk_A2, sk_A3), 
9.54/9.77	         'const/lists/MAP2'(sk_A0, sk_A1, sk_A, sk_A4, sk_A5, sk_A6))
9.54/9.77	        != 'const/ind_types/CONS'(sk_A, sk_A4(sk_A2, sk_A3), 
9.54/9.77	             'const/lists/MAP2'(sk_A0, sk_A1, sk_A, sk_A4, sk_A5, sk_A6))
9.54/9.77	       | X0 != sk_A4),
9.54/9.77	    inference('sup-', [status(thm)], ['5', '6'])).
9.54/9.77	tff('8', plain,
9.54/9.77	    ![X0 : (sk_A0 * sk_A1) > sk_A, X1 : (sk_A0 * sk_A1) > sk_A]:
9.54/9.77	      (X1 != X0
9.54/9.77	       | 'const/ind_types/CONS'(sk_A, X0(sk_A2, sk_A3), 
9.54/9.77	           'const/lists/MAP2'(sk_A0, sk_A1, sk_A, sk_A4, sk_A5, sk_A6))
9.54/9.77	          != 'const/ind_types/CONS'(sk_A, sk_A4(sk_A2, sk_A3), 
9.54/9.77	               'const/lists/MAP2'(sk_A0, sk_A1, sk_A, sk_A4, sk_A5, sk_A6))
9.54/9.77	       | X1 != sk_A4),
9.54/9.77	    inference('ho.purify_applied_variable', [status(thm)], ['7'])).
9.54/9.77	tff('9', plain,
9.54/9.77	    ![X0 : $tType, X1 : $tType, X2 : 'type/ind_types/list'(X1), X3 : $tType, 
9.54/9.77	      X4 : 'type/ind_types/list'(X3), X5 : X3, X6 : (X3 * X1) > X0, 
9.54/9.77	      X7 : (X3 * X1) > X0]:
9.54/9.77	      ('const/lists/HD'(X0, 
9.54/9.77	         'const/lists/MAP2'(X3, X1, X0, X6, 
9.54/9.77	           'const/ind_types/CONS'(X3, X5, X4), X2))
9.54/9.77	        = X7(X5, 'const/lists/HD'(X1, X2))
9.54/9.77	       | X7 != X6),
9.54/9.77	    inference('sup+', [status(thm)], ['2', '0'])).
9.54/9.77	tff('10', plain,
9.54/9.77	    ![X0 : $tType, X1 : $tType, X2 : $tType, X3 : (X2 * X1) > X0, 
9.54/9.77	      X4 : 'type/ind_types/list'(X1), X5 : X2, X6 : (X2 * X1) > X0, 
9.54/9.77	      X8 : (X2 * X1) > X0]:
9.54/9.77	      (X3(X5, 'const/lists/HD'(X1, X4)) = X6(X5, 'const/lists/HD'(X1, X4))
9.54/9.77	       | X3 != X8
9.54/9.77	       | X6 != X8),
9.54/9.77	    inference('sup+', [status(thm)], ['9', '9'])).
9.54/9.77	tff('11', plain,
9.54/9.77	    ![X0 : $tType, X1 : X0, X2 : $tType, X3 : $tType, X4 : (X3 * X0) > X2, 
9.54/9.77	      X5 : 'type/ind_types/list'(X0), X6 : X3, X7 : (X3 * X0) > X2, 
9.54/9.77	      X8 : (X3 * X0) > X2]:
9.54/9.77	      (X7(X6, X1)
9.54/9.77	        = X4(X6, 'const/lists/HD'(X0, 'const/ind_types/CONS'(X0, X1, X5)))
9.54/9.77	       | X4 != X8
9.54/9.77	       | X7 != X8),
9.54/9.77	    inference('sup+', [status(thm)], ['0', '10'])).
9.54/9.77	tff('12', plain,
9.54/9.77	    ![X0 : $tType, X1 : X0, X2 : $tType, X3 : $tType, X4 : (X3 * X0) > X2, 
9.54/9.77	      X6 : X3, X7 : (X3 * X0) > X2, X8 : (X3 * X0) > X2]:
9.54/9.77	      (X7(X6, X1) = X4(X6, X1) | X4 != X8 | X7 != X8),
9.54/9.77	    inference('demod', [status(thm)], ['11', '0'])).
9.54/9.77	tff('13', plain,
9.54/9.77	    ![X0 : (sk_A0 * sk_A1) > sk_A, X1 : (sk_A0 * sk_A1) > sk_A]:
9.54/9.77	      (X1 != sk_A4 | X1 != X0),
9.54/9.77	    inference('clc', [status(thm)], ['8', '12'])).
9.54/9.77	tff('14', plain, ![X0 : (sk_A0 * sk_A1) > sk_A]: X0 != sk_A4,
9.54/9.77	    inference('condensation', [status(thm)], ['13'])).
9.54/9.77	tff('15', plain, $false, inference('eq_res', [status(thm)], ['14'])).
9.54/9.77	
9.54/9.77	% SZS output end Refutation
9.54/9.78	EOF
