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    : kbo
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n079.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 08:24:53 CST 2018
1.84/2.08	% done 157 iterations in 1.873s
1.84/2.08	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
1.84/2.08	% SZS output start Refutation
1.84/2.09	tff('thm/lists/ITLIST_0', axiom,
1.84/2.09	  (![A:$tType,A0:$tType,A1:((A * A0) > A0),A2:A0]:
1.84/2.09	     ('const/lists/ITLIST'(A,A0,A1,'const/ind_types/NIL'(A),A2) = A2))).
1.84/2.09	tff('0', plain,
1.84/2.09	    ![X0 : $tType, X1 : X0, X2 : $tType, X3 : (X2 * X0) > X0]:
1.84/2.09	      'const/lists/ITLIST'(X2, X0, X3, 'const/ind_types/NIL'(X2), X1) = X1,
1.84/2.09	    inference('cnf', [status(esa)], [thm/lists/ITLIST_0])).
1.84/2.09	tff('thm/lists/ITLIST_1', axiom,
1.84/2.09	  (![A:$tType,A0:$tType,A1:A,A2:((A * A0) > A0),A3:'type/ind_types/list'(A),
1.84/2.09	     A4:A0]:
1.84/2.09	     ('const/lists/ITLIST'(A,A0,A2,'const/ind_types/CONS'(A,A1,A3),A4) =
1.84/2.09	      A2(A1,'const/lists/ITLIST'(A,A0,A2,A3,A4))))).
1.84/2.09	tff('1', plain,
1.84/2.09	    ![X4 : $tType, X5 : $tType, X6 : (X5 * X4) > X4, X7 : X5, 
1.84/2.09	      X8 : 'type/ind_types/list'(X5), X9 : X4]:
1.84/2.09	      'const/lists/ITLIST'(X5, X4, X6, 'const/ind_types/CONS'(X5, X7, X8), 
1.84/2.09	        X9)
1.84/2.09	       = X6(X7, 'const/lists/ITLIST'(X5, X4, X6, X8, X9)),
1.84/2.09	    inference('cnf', [status(esa)], [thm/lists/ITLIST_1])).
1.84/2.09	tff('2', plain,
1.84/2.09	    ![X4 : $tType, X5 : $tType, X6 : (X5 * X4) > X4, X7 : X5, 
1.84/2.09	      X8 : 'type/ind_types/list'(X5), X9 : X4, X10 : (X5 * X4) > X4]:
1.84/2.09	      (X10 != X6
1.84/2.09	       | 'const/lists/ITLIST'(X5, X4, X6, 
1.84/2.09	           'const/ind_types/CONS'(X5, X7, X8), X9)
1.84/2.09	          = X10(X7, 'const/lists/ITLIST'(X5, X4, X6, X8, X9))),
1.84/2.09	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
1.84/2.09	tff('3', plain,
1.84/2.09	    ![X0 : $tType, X1 : X0, X2 : $tType, X3 : (X2 * X0) > X0, 
1.84/2.09	      X4 : (X2 * X0) > X0, X5 : X2]:
1.84/2.09	      ('const/lists/ITLIST'(X2, X0, X4, 
1.84/2.09	         'const/ind_types/CONS'(X2, X5, 'const/ind_types/NIL'(X2)), X1)
1.84/2.09	        = X3(X5, X1)
1.84/2.09	       | X3 != X4),
1.84/2.09	    inference('sup+', [status(thm)], ['0', '2'])).
1.84/2.09	tff('thm/lists/ITLIST_APPEND_', axiom,
1.84/2.09	  (![A:$tType,A0:$tType,A1:((A * A0) > A0),A2:A0,A3:'type/ind_types/list'(A),
1.84/2.09	     A4:'type/ind_types/list'(A)]:
1.84/2.09	     ('const/lists/ITLIST'(A,A0,A1,'const/lists/APPEND'(A,A3,A4),A2) =
1.84/2.09	      'const/lists/ITLIST'(A,A0,A1,A3,'const/lists/ITLIST'(A,A0,A1,A4,A2))))).
1.84/2.09	tff('4', plain,
1.84/2.09	    ![X10 : $tType, X11 : $tType, X12 : (X10 * X11) > X11, 
1.84/2.09	      X13 : 'type/ind_types/list'(X10), X14 : 'type/ind_types/list'(X10), 
1.84/2.09	      X15 : X11]:
1.84/2.09	      'const/lists/ITLIST'(X10, X11, X12, 
1.84/2.09	        'const/lists/APPEND'(X10, X13, X14), X15)
1.84/2.09	       = 'const/lists/ITLIST'(X10, X11, X12, X13, 
1.84/2.09	           'const/lists/ITLIST'(X10, X11, X12, X14, X15)),
1.84/2.09	    inference('cnf', [status(esa)], [thm/lists/ITLIST_APPEND_])).
1.84/2.09	tff('5', plain,
1.84/2.09	    ![X0 : $tType, X1 : $tType, X2 : (X1 * X0) > X0, X3 : X0, X4 : X1, 
1.84/2.09	      X5 : (X1 * X0) > X0, X6 : 'type/ind_types/list'(X1)]:
1.84/2.09	      ('const/lists/ITLIST'(X1, X0, X5, 
1.84/2.09	         'const/lists/APPEND'(X1, X6, 
1.84/2.09	           'const/ind_types/CONS'(X1, X4, 'const/ind_types/NIL'(X1))), X3)
1.84/2.09	        = 'const/lists/ITLIST'(X1, X0, X5, X6, X2(X4, X3))
1.84/2.09	       | X2 != X5),
1.84/2.09	    inference('sup+', [status(thm)], ['3', '4'])).
1.84/2.09	tff('thm/lists/ITLIST_EXTRA_', conjecture,
1.84/2.09	  (![A:$tType,A0:$tType,A1:((A * A0) > A0),A2:A,A3:A0,
1.84/2.09	     A4:'type/ind_types/list'(A)]:
1.84/2.09	     ('const/lists/ITLIST'(A,A0,A1,
1.84/2.09	                           'const/lists/APPEND'(A,A4,
1.84/2.09	                                                'const/ind_types/CONS'(
1.84/2.09	                                                A,A2,'const/ind_types/NIL'(A))),
1.84/2.09	                           A3) =
1.84/2.09	      'const/lists/ITLIST'(A,A0,A1,A4,A1(A2,A3))))).
1.84/2.09	tff(zf_stmt_0, negated_conjecture,
1.84/2.09	  (~
1.84/2.09	    (![A:$tType,A0:$tType,A1:((A * A0) > A0),A2:A,A3:A0,
1.84/2.09	       A4:'type/ind_types/list'(A)]:
1.84/2.09	       ('const/lists/ITLIST'(A,A0,A1,
1.84/2.09	                             'const/lists/APPEND'(A,A4,
1.84/2.09	                                                  'const/ind_types/CONS'(
1.84/2.09	                                                  A,A2,
1.84/2.09	                                                  'const/ind_types/NIL'(A))),
1.84/2.09	                             A3) =
1.84/2.09	        'const/lists/ITLIST'(A,A0,A1,A4,A1(A2,A3)))))).
1.84/2.09	tff('6', plain,
1.84/2.09	    'const/lists/ITLIST'(sk_A, sk_A0, sk_A1, 
1.84/2.09	      'const/lists/APPEND'(sk_A, sk_A4, 
1.84/2.09	        'const/ind_types/CONS'(sk_A, sk_A2, 'const/ind_types/NIL'(sk_A))), 
1.84/2.09	      sk_A3)
1.84/2.09	     != 'const/lists/ITLIST'(sk_A, sk_A0, sk_A1, sk_A4, sk_A1(sk_A2, sk_A3)),
1.84/2.09	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.84/2.09	tff('7', plain,
1.84/2.09	    ![X0 : (sk_A * sk_A0) > sk_A0]:
1.84/2.09	      ('const/lists/ITLIST'(sk_A, sk_A0, sk_A1, sk_A4, X0(sk_A2, sk_A3))
1.84/2.09	        != 'const/lists/ITLIST'(sk_A, sk_A0, sk_A1, sk_A4, 
1.84/2.09	             sk_A1(sk_A2, sk_A3))
1.84/2.09	       | X0 != sk_A1),
1.84/2.09	    inference('sup-', [status(thm)], ['5', '6'])).
1.84/2.09	tff('8', plain,
1.84/2.09	    ![X0 : (sk_A * sk_A0) > sk_A0, X1 : (sk_A * sk_A0) > sk_A0]:
1.84/2.09	      (X1 != X0
1.84/2.09	       | 'const/lists/ITLIST'(sk_A, sk_A0, sk_A1, sk_A4, X0(sk_A2, sk_A3))
1.84/2.09	          != 'const/lists/ITLIST'(sk_A, sk_A0, sk_A1, sk_A4, 
1.84/2.09	               sk_A1(sk_A2, sk_A3))
1.84/2.09	       | X1 != sk_A1),
1.84/2.09	    inference('ho.purify_applied_variable', [status(thm)], ['7'])).
1.84/2.09	tff('9', plain,
1.84/2.09	    ![X0 : $tType, X1 : $tType, X2 : (X1 * X0) > X0, X3 : X0, 
1.84/2.09	      X4 : 'type/ind_types/list'(X1), X5 : (X1 * X0) > X0, X6 : X1, 
1.84/2.09	      X7 : (X1 * X0) > X0]:
1.84/2.09	      (X2(X6, 'const/lists/ITLIST'(X1, X0, X5, X4, X3))
1.84/2.09	        = X7(X6, 'const/lists/ITLIST'(X1, X0, X5, X4, X3))
1.84/2.09	       | X2 != X5
1.84/2.09	       | X7 != X5),
1.84/2.09	    inference('sup+', [status(thm)], ['2', '2'])).
1.84/2.09	tff('10', plain,
1.84/2.09	    ![X0 : $tType, X1 : X0, X2 : $tType, X3 : (X2 * X0) > X0, 
1.84/2.09	      X4 : (X2 * X0) > X0, X5 : X2, X6 : (X2 * X0) > X0]:
1.84/2.09	      (X6(X5, X1)
1.84/2.09	        = X3(X5, 
1.84/2.09	            'const/lists/ITLIST'(X2, X0, X4, 'const/ind_types/NIL'(X2), X1))
1.84/2.09	       | X3 != X4
1.84/2.09	       | X6 != X4),
1.84/2.09	    inference('sup+', [status(thm)], ['0', '9'])).
1.84/2.09	tff('11', plain,
1.84/2.09	    ![X0 : $tType, X1 : X0, X2 : $tType, X3 : (X2 * X0) > X0, 
1.84/2.09	      X4 : (X2 * X0) > X0, X5 : X2, X6 : (X2 * X0) > X0]:
1.84/2.09	      (X6(X5, X1) = X3(X5, X1) | X3 != X4 | X6 != X4),
1.84/2.09	    inference('demod', [status(thm)], ['10', '0'])).
1.84/2.09	tff('12', plain,
1.84/2.09	    ![X0 : (sk_A * sk_A0) > sk_A0, X1 : (sk_A * sk_A0) > sk_A0]:
1.84/2.09	      (X1 != sk_A1 | X1 != X0),
1.84/2.09	    inference('clc', [status(thm)], ['8', '11'])).
1.84/2.09	tff('13', plain, ![X0 : (sk_A * sk_A0) > sk_A0]: X0 != sk_A1,
1.84/2.09	    inference('condensation', [status(thm)], ['12'])).
1.84/2.09	tff('14', plain, $false, inference('eq_res', [status(thm)], ['13'])).
1.84/2.09	
1.84/2.09	% SZS output end Refutation
1.84/2.09	EOF
