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    : 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-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	  --ho-purify ext \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --restrict-hidden-sup-at-vars \
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   : n185.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 08:58:08 CST 2018
6.12/6.31	% done 1150 iterations in 6.105s
6.12/6.31	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
6.12/6.31	% SZS output start Refutation
6.12/6.31	tff(fact_0__096ALL_Aa_058set_Aas_O_AI_092_060_094isub_062Z_A_Iasubst_A_Iil_A_L_Am_J_Aksl_Aa_J_Axs_096, axiom,
6.12/6.31	  (![X4:atom]:
6.12/6.31	     (member(atom,X4,set(atom,as)) =>
6.12/6.31	      pp(aa(list(int),bool,
6.12/6.31	            aa(atom,fun(list(int),bool),i_Z,
6.12/6.31	               aa(atom,atom,
6.12/6.31	                  asubst(aa(int,int,aa(int,fun(int,int),plus_plus(int),il),m),
6.12/6.31	                         ksl),
6.12/6.31	                  X4)),
6.12/6.31	            xs))))).
6.12/6.31	tff('0', plain,
6.12/6.31	    ![X0 : atom]:
6.12/6.31	      (pp(
6.12/6.31	         aa(list(int), bool, 
6.12/6.31	           aa(atom, fun(list(int), bool), i_Z, 
6.12/6.31	             aa(atom, atom, 
6.12/6.31	               asubst(
6.12/6.31	                 aa(int, int, aa(int, fun(int, int), plus_plus(int), il), m), 
6.12/6.31	                 ksl), X0)), xs))
6.12/6.31	       | ~ member(atom, X0, set(atom, as))),
6.12/6.31	    inference('cnf', [status(esa)],
6.12/6.31	              [fact_0__096ALL_Aa_058set_Aas_O_AI_092_060_094isub_062Z_A_Iasubst_A_Iil_A_L_Am_J_Aksl_Aa_J_Axs_096])).
6.12/6.31	tff(fact_4_IZ__asubst, axiom,
6.12/6.31	  (![Xsa:list(int),A1:atom,Ks:list(int),I1:int]:
6.12/6.31	     (pp(aa(list(int),bool,
6.12/6.31	            aa(atom,fun(list(int),bool),i_Z,aa(atom,atom,asubst(I1,Ks),A1)),
6.12/6.31	            Xsa)) <=>
6.12/6.31	      pp(aa(list(int),bool,aa(atom,fun(list(int),bool),i_Z,A1),
6.12/6.31	            cons(int,
6.12/6.31	                 aa(int,int,aa(int,fun(int,int),plus_plus(int),I1),
6.12/6.31	                    iprod(int,Ks,Xsa)),
6.12/6.31	                 Xsa)))))).
6.12/6.31	tff('1', plain,
6.12/6.31	    ![X7 : atom, X8 : int, X9 : list(int), X10 : list(int)]:
6.12/6.31	      (pp(
6.12/6.31	         aa(list(int), bool, aa(atom, fun(list(int), bool), i_Z, X7), 
6.12/6.31	           cons(int, 
6.12/6.31	             aa(int, int, aa(int, fun(int, int), plus_plus(int), X8), 
6.12/6.31	               iprod(int, X9, X10)), X10)))
6.12/6.31	       | ~ pp(
6.12/6.31	             aa(list(int), bool, 
6.12/6.31	               aa(atom, fun(list(int), bool), i_Z, 
6.12/6.31	                 aa(atom, atom, asubst(X8, X9), X7)), X10))),
6.12/6.31	    inference('cnf', [status(esa)], [fact_4_IZ__asubst])).
6.12/6.31	tff('2', plain,
6.12/6.31	    ![X0 : atom]:
6.12/6.31	      (~ $true
6.12/6.31	       | ~ member(atom, X0, set(atom, as))
6.12/6.31	       | pp(
6.12/6.31	           aa(list(int), bool, aa(atom, fun(list(int), bool), i_Z, X0), 
6.12/6.31	             cons(int, 
6.12/6.31	               aa(int, int, 
6.12/6.31	                 aa(int, fun(int, int), plus_plus(int), 
6.12/6.31	                   aa(int, int, aa(int, fun(int, int), plus_plus(int), il), 
6.12/6.31	                     m)), iprod(int, ksl, xs)), xs)))),
6.12/6.31	    inference('sup-', [status(thm)], ['0', '1'])).
6.12/6.31	tff('3', plain,
6.12/6.31	    ![X0 : atom]:
6.12/6.31	      (pp(
6.12/6.31	         aa(list(int), bool, aa(atom, fun(list(int), bool), i_Z, X0), 
6.12/6.31	           cons(int, 
6.12/6.31	             aa(int, int, 
6.12/6.31	               aa(int, fun(int, int), plus_plus(int), 
6.12/6.31	                 aa(int, int, aa(int, fun(int, int), plus_plus(int), il), m)), 
6.12/6.31	               iprod(int, ksl, xs)), xs)))
6.12/6.31	       | ~ member(atom, X0, set(atom, as))),
6.12/6.31	    inference('simplify', [status(thm)], ['2'])).
6.12/6.31	tff(arity_Int_Oint___Rings_Ocomm__semiring__1, axiom, (comm_semiring_1(int))).
6.12/6.31	tff('4', plain, comm_semiring_1(int),
6.12/6.31	    inference('cnf', [status(esa)],
6.12/6.31	              [arity_Int_Oint___Rings_Ocomm__semiring__1])).
6.12/6.31	tff(fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, axiom,
6.12/6.31	  (![A:$tType]:
6.12/6.31	     (comm_semiring_1(A) =>
6.12/6.31	      (![C:A,A3:A]:
6.12/6.31	         (aa(A,A,aa(A,fun(A,A),plus_plus(A),A3),C) =
6.12/6.31	          aa(A,A,aa(A,fun(A,A),plus_plus(A),C),A3)))))).
6.12/6.31	tff('5', plain,
6.12/6.31	    ![X142 : $tType, X143 : X142, X144 : X142]:
6.12/6.31	      (aa(X142, X142, aa(X142, fun(X142, X142), plus_plus(X142), X144), X143)
6.12/6.31	        = aa(X142, X142, aa(X142, fun(X142, X142), plus_plus(X142), X143), 
6.12/6.31	            X144)
6.12/6.31	       | ~ comm_semiring_1(X142)),
6.12/6.31	    inference('cnf', [status(esa)],
6.12/6.31	              [fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])).
6.12/6.31	tff('6', plain,
6.12/6.31	    ![X0 : int, X1 : int]:
6.12/6.31	      (~ $true
6.12/6.31	       | aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), X0)
6.12/6.31	          = aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), X1)),
6.12/6.31	    inference('sup-', [status(thm)], ['4', '5'])).
6.12/6.31	tff('7', plain,
6.12/6.31	    ![X0 : int, X1 : int]:
6.12/6.31	      aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), X0)
6.12/6.31	       = aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), X1),
6.12/6.31	    inference('simplify', [status(thm)], ['6'])).
6.12/6.31	tff('8', plain,
6.12/6.31	    ![X0 : atom]:
6.12/6.31	      (pp(
6.12/6.31	         aa(list(int), bool, aa(atom, fun(list(int), bool), i_Z, X0), 
6.12/6.31	           cons(int, 
6.12/6.31	             aa(int, int, 
6.12/6.31	               aa(int, fun(int, int), plus_plus(int), iprod(int, ksl, xs)), 
6.12/6.31	               aa(int, int, aa(int, fun(int, int), plus_plus(int), il), m)), 
6.12/6.31	             xs)))
6.12/6.31	       | ~ member(atom, X0, set(atom, as))),
6.12/6.31	    inference('demod', [status(thm)], ['3', '7'])).
6.12/6.31	tff(conj_0, conjecture,
6.12/6.31	  (![X:atom]:
6.12/6.31	     (member(atom,X,set(atom,as)) =>
6.12/6.31	      pp(aa(list(int),bool,aa(atom,fun(list(int),bool),i_Z,X),
6.12/6.31	            cons(int,
6.12/6.31	                 aa(int,int,
6.12/6.31	                    aa(int,fun(int,int),plus_plus(int),
6.12/6.31	                       aa(int,int,aa(int,fun(int,int),plus_plus(int),il),m)),
6.12/6.31	                    iprod(int,ksl,xs)),
6.12/6.31	                 xs)))))).
6.12/6.31	tff(zf_stmt_0, negated_conjecture,
6.12/6.31	  (~
6.12/6.31	    (![X:atom]:
6.12/6.31	       (member(atom,X,set(atom,as)) =>
6.12/6.31	        pp(aa(list(int),bool,aa(atom,fun(list(int),bool),i_Z,X),
6.12/6.31	              cons(int,
6.12/6.31	                   aa(int,int,
6.12/6.31	                      aa(int,fun(int,int),plus_plus(int),
6.12/6.31	                         aa(int,int,aa(int,fun(int,int),plus_plus(int),il),m)),
6.12/6.31	                      iprod(int,ksl,xs)),
6.12/6.31	                   xs))))))).
6.12/6.31	tff('9', plain,
6.12/6.31	    ~ pp(
6.12/6.31	        aa(list(int), bool, aa(atom, fun(list(int), bool), i_Z, sk_X7), 
6.12/6.31	          cons(int, 
6.12/6.31	            aa(int, int, 
6.12/6.31	              aa(int, fun(int, int), plus_plus(int), 
6.12/6.31	                aa(int, int, aa(int, fun(int, int), plus_plus(int), il), m)), 
6.12/6.31	              iprod(int, ksl, xs)), xs))),
6.12/6.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
6.12/6.31	tff('10', plain,
6.12/6.31	    ~ pp(
6.12/6.31	        aa(list(int), bool, aa(atom, fun(list(int), bool), i_Z, sk_X7), 
6.12/6.31	          cons(int, 
6.12/6.31	            aa(int, int, 
6.12/6.31	              aa(int, fun(int, int), plus_plus(int), iprod(int, ksl, xs)), 
6.12/6.31	              aa(int, int, aa(int, fun(int, int), plus_plus(int), il), m)), 
6.12/6.31	            xs))),
6.12/6.31	    inference('demod', [status(thm)], ['9', '7'])).
6.12/6.31	tff('11', plain, (~ $true | ~ member(atom, sk_X7, set(atom, as))),
6.12/6.31	    inference('sup-', [status(thm)], ['8', '10'])).
6.12/6.31	tff('12', plain, member(atom, sk_X7, set(atom, as)),
6.12/6.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
6.12/6.31	tff('13', plain, (~ $true | ~ $true),
6.12/6.31	    inference('demod', [status(thm)], ['11', '12'])).
6.12/6.31	tff('14', plain, $false, inference('simplify', [status(thm)], ['13'])).
6.12/6.31	
6.12/6.31	% SZS output end Refutation
6.12/6.31	EOF
