0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_ext
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n085.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 08:35:38 CST 2018
0.00/0.21	% done 13 iterations in 0.009s
0.00/0.21	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.21	% SZS output start Refutation
0.00/0.21	tff('thm/lists/MEM_1', axiom,
0.00/0.21	  (![A:$tType,A0:A,A1:A,A2:'type/ind_types/list'(A)]:
0.00/0.21	     ('const/lists/MEM'(A,A1,'const/ind_types/CONS'(A,A0,A2)) <=>
0.00/0.21	      ('const/lists/MEM'(A,A1,A2) | (A1 = A0))))).
0.00/0.21	tff('0', plain,
0.00/0.21	    ![X6 : $tType, X7 : X6, X8 : X6, X10 : 'type/ind_types/list'(X6)]:
0.00/0.21	      ('const/lists/MEM'(X6, X8, 'const/ind_types/CONS'(X6, X7, X10))
0.00/0.21	       | X8 != X7),
0.00/0.21	    inference('cnf', [status(esa)], [thm/lists/MEM_1])).
0.00/0.21	tff('1', plain,
0.00/0.21	    ![X6 : $tType, X7 : X6, X10 : 'type/ind_types/list'(X6)]:
0.00/0.21	      'const/lists/MEM'(X6, X7, 'const/ind_types/CONS'(X6, X7, X10)),
0.00/0.21	    inference('simplify', [status(thm)], ['0'])).
0.00/0.21	tff('thm/lists/MEM_APPEND_DECOMPOSE_', conjecture,
0.00/0.21	  (![A:$tType,A0:A,A1:'type/ind_types/list'(A)]:
0.00/0.21	     ('const/lists/MEM'(A,A0,A1) <=>
0.00/0.21	      (?[A2:'type/ind_types/list'(A),A3:'type/ind_types/list'(A)]:
0.00/0.21	         (A1 = 'const/lists/APPEND'(A,A2,'const/ind_types/CONS'(A,A0,A3))))))).
0.00/0.21	tff(zf_stmt_0, negated_conjecture,
0.00/0.21	  (~
0.00/0.21	    (![A:$tType,A0:A,A1:'type/ind_types/list'(A)]:
0.00/0.21	       ('const/lists/MEM'(A,A0,A1) <=>
0.00/0.21	        (?[A2:'type/ind_types/list'(A),A3:'type/ind_types/list'(A)]:
0.00/0.21	           (A1 = 'const/lists/APPEND'(A,A2,'const/ind_types/CONS'(A,A0,A3)))))))).
0.00/0.21	tff('2', plain,
0.00/0.21	    (sk_A1
0.00/0.21	      = 'const/lists/APPEND'(sk_A, sk_A21, 
0.00/0.21	          'const/ind_types/CONS'(sk_A, sk_A0, sk_A31))
0.00/0.21	     | 'const/lists/MEM'(sk_A, sk_A0, sk_A1)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('thm/lists/MEM_APPEND_', axiom,
0.00/0.21	  (![A:$tType,A0:A,A1:'type/ind_types/list'(A),A2:'type/ind_types/list'(A)]:
0.00/0.21	     ('const/lists/MEM'(A,A0,'const/lists/APPEND'(A,A1,A2)) <=>
0.00/0.21	      ('const/lists/MEM'(A,A0,A2) | 'const/lists/MEM'(A,A0,A1))))).
0.00/0.21	tff('3', plain,
0.00/0.21	    ![X11 : $tType, X12 : X11, X13 : 'type/ind_types/list'(X11), 
0.00/0.21	      X15 : 'type/ind_types/list'(X11)]:
0.00/0.21	      ('const/lists/MEM'(X11, X12, 'const/lists/APPEND'(X11, X13, X15))
0.00/0.21	       | ~ 'const/lists/MEM'(X11, X12, X15)),
0.00/0.21	    inference('cnf', [status(esa)], [thm/lists/MEM_APPEND_])).
0.00/0.21	tff('4', plain,
0.00/0.21	    ![X0 : sk_A]:
0.00/0.21	      ('const/lists/MEM'(sk_A, X0, sk_A1)
0.00/0.21	       | 'const/lists/MEM'(sk_A, sk_A0, sk_A1)
0.00/0.21	       | ~ 'const/lists/MEM'(sk_A, X0, 
0.00/0.21	             'const/ind_types/CONS'(sk_A, sk_A0, sk_A31))),
0.00/0.21	    inference('sup+', [status(thm)], ['2', '3'])).
0.00/0.21	tff('thm/lists/MEM_APPEND_DECOMPOSE_LEFT_', axiom,
0.00/0.21	  (![A:$tType,A0:A,A1:'type/ind_types/list'(A)]:
0.00/0.21	     ('const/lists/MEM'(A,A0,A1) <=>
0.00/0.21	      (?[A2:'type/ind_types/list'(A),A3:'type/ind_types/list'(A)]:
0.00/0.21	         ((A1 = 'const/lists/APPEND'(A,A2,'const/ind_types/CONS'(A,A0,A3))) & 
0.00/0.21	          (~'const/lists/MEM'(A,A0,A2))))))).
0.00/0.21	tff('5', plain,
0.00/0.21	    ![X0 : $tType, X1 : X0, X2 : 'type/ind_types/list'(X0)]:
0.00/0.21	      (X2
0.00/0.21	        = 'const/lists/APPEND'(X0, sk_A2(X0, X2, X1), 
0.00/0.21	            'const/ind_types/CONS'(X0, X1, sk_A3(X0, X2, X1)))
0.00/0.21	       | ~ 'const/lists/MEM'(X0, X1, X2)),
0.00/0.21	    inference('cnf', [status(esa)], [thm/lists/MEM_APPEND_DECOMPOSE_LEFT_])).
0.00/0.21	tff('6', plain,
0.00/0.21	    ![X16 : 'type/ind_types/list'(sk_A), X17 : 'type/ind_types/list'(sk_A)]:
0.00/0.21	      (sk_A1
0.00/0.21	        != 'const/lists/APPEND'(sk_A, X16, 
0.00/0.21	             'const/ind_types/CONS'(sk_A, sk_A0, X17))
0.00/0.21	       | ~ 'const/lists/MEM'(sk_A, sk_A0, sk_A1)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('7', plain,
0.00/0.21	    ![X0 : 'type/ind_types/list'(sk_A)]:
0.00/0.21	      (sk_A1 != X0
0.00/0.21	       | ~ 'const/lists/MEM'(sk_A, sk_A0, X0)
0.00/0.21	       | ~ 'const/lists/MEM'(sk_A, sk_A0, sk_A1)),
0.00/0.21	    inference('sup-', [status(thm)], ['5', '6'])).
0.00/0.21	tff('8', plain, ~ 'const/lists/MEM'(sk_A, sk_A0, sk_A1),
0.00/0.21	    inference('simplify', [status(thm)], ['7'])).
0.00/0.21	tff('9', plain,
0.00/0.21	    ![X0 : sk_A]:
0.00/0.21	      (~ 'const/lists/MEM'(sk_A, X0, 
0.00/0.21	           'const/ind_types/CONS'(sk_A, sk_A0, sk_A31))
0.00/0.21	       | 'const/lists/MEM'(sk_A, X0, sk_A1)),
0.00/0.21	    inference('clc', [status(thm)], ['4', '8'])).
0.00/0.21	tff('10', plain, (~ $true | 'const/lists/MEM'(sk_A, sk_A0, sk_A1)),
0.00/0.21	    inference('sup-', [status(thm)], ['1', '9'])).
0.00/0.21	tff('11', plain, 'const/lists/MEM'(sk_A, sk_A0, sk_A1),
0.00/0.21	    inference('simplify', [status(thm)], ['10'])).
0.00/0.21	tff('12', plain, ~ $true, inference('sup-', [status(thm)], ['11', '8'])).
0.00/0.21	tff('13', plain, $false, inference('simplify', [status(thm)], ['12'])).
0.00/0.21	
0.00/0.21	% SZS output end Refutation
0.00/0.21	EOF
