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_int
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 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   : n066.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
5.58/5.83	% done 1102 iterations in 5.619s
5.58/5.83	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
5.58/5.83	% SZS output start Refutation
5.58/5.83	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,
5.58/5.83	  (![X4:atom]:
5.58/5.83	     (member(atom,X4,set(atom,as)) =>
5.58/5.83	      pp(aa(list(int),bool,
5.58/5.83	            aa(atom,fun(list(int),bool),i_Z,
5.58/5.83	               aa(atom,atom,
5.58/5.83	                  asubst(aa(int,int,aa(int,fun(int,int),plus_plus(int),il),m),
5.58/5.83	                         ksl),
5.58/5.83	                  X4)),
5.58/5.83	            xs))))).
5.58/5.83	tff('0', plain,
5.58/5.83	    ![X0 : atom]:
5.58/5.83	      (pp(
5.58/5.83	         aa(list(int), bool, 
5.58/5.83	           aa(atom, fun(list(int), bool), i_Z, 
5.58/5.83	             aa(atom, atom, 
5.58/5.83	               asubst(
5.58/5.83	                 aa(int, int, aa(int, fun(int, int), plus_plus(int), il), m), 
5.58/5.83	                 ksl), X0)), xs))
5.58/5.83	       | ~ member(atom, X0, set(atom, as))),
5.58/5.83	    inference('cnf', [status(esa)],
5.58/5.83	              [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])).
5.58/5.83	tff(fact_4_IZ__asubst, axiom,
5.58/5.83	  (![Xsa:list(int),A1:atom,Ks:list(int),I1:int]:
5.58/5.83	     (pp(aa(list(int),bool,
5.58/5.83	            aa(atom,fun(list(int),bool),i_Z,aa(atom,atom,asubst(I1,Ks),A1)),
5.58/5.83	            Xsa)) <=>
5.58/5.83	      pp(aa(list(int),bool,aa(atom,fun(list(int),bool),i_Z,A1),
5.58/5.83	            cons(int,
5.58/5.83	                 aa(int,int,aa(int,fun(int,int),plus_plus(int),I1),
5.58/5.83	                    iprod(int,Ks,Xsa)),
5.58/5.83	                 Xsa)))))).
5.58/5.83	tff('1', plain,
5.58/5.83	    ![X7 : atom, X8 : int, X9 : list(int), X10 : list(int)]:
5.58/5.83	      (pp(
5.58/5.83	         aa(list(int), bool, aa(atom, fun(list(int), bool), i_Z, X7), 
5.58/5.83	           cons(int, 
5.58/5.83	             aa(int, int, aa(int, fun(int, int), plus_plus(int), X8), 
5.58/5.83	               iprod(int, X9, X10)), X10)))
5.58/5.83	       | ~ pp(
5.58/5.83	             aa(list(int), bool, 
5.58/5.83	               aa(atom, fun(list(int), bool), i_Z, 
5.58/5.83	                 aa(atom, atom, asubst(X8, X9), X7)), X10))),
5.58/5.83	    inference('cnf', [status(esa)], [fact_4_IZ__asubst])).
5.58/5.83	tff('2', plain,
5.58/5.83	    ![X0 : atom]:
5.58/5.83	      (~ $true
5.58/5.83	       | ~ member(atom, X0, set(atom, as))
5.58/5.83	       | pp(
5.58/5.83	           aa(list(int), bool, aa(atom, fun(list(int), bool), i_Z, X0), 
5.58/5.83	             cons(int, 
5.58/5.83	               aa(int, int, 
5.58/5.83	                 aa(int, fun(int, int), plus_plus(int), 
5.58/5.83	                   aa(int, int, aa(int, fun(int, int), plus_plus(int), il), 
5.58/5.83	                     m)), iprod(int, ksl, xs)), xs)))),
5.58/5.83	    inference('sup-', [status(thm)], ['0', '1'])).
5.58/5.83	tff('3', plain,
5.58/5.83	    ![X0 : atom]:
5.58/5.83	      (pp(
5.58/5.83	         aa(list(int), bool, aa(atom, fun(list(int), bool), i_Z, X0), 
5.58/5.83	           cons(int, 
5.58/5.83	             aa(int, int, 
5.58/5.83	               aa(int, fun(int, int), plus_plus(int), 
5.58/5.83	                 aa(int, int, aa(int, fun(int, int), plus_plus(int), il), m)), 
5.58/5.83	               iprod(int, ksl, xs)), xs)))
5.58/5.83	       | ~ member(atom, X0, set(atom, as))),
5.58/5.83	    inference('simplify', [status(thm)], ['2'])).
5.58/5.83	tff(arity_Int_Oint___Rings_Ocomm__semiring__1, axiom, (comm_semiring_1(int))).
5.58/5.83	tff('4', plain, comm_semiring_1(int),
5.58/5.83	    inference('cnf', [status(esa)],
5.58/5.83	              [arity_Int_Oint___Rings_Ocomm__semiring__1])).
5.58/5.83	tff(fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, axiom,
5.58/5.83	  (![A:$tType]:
5.58/5.83	     (comm_semiring_1(A) =>
5.58/5.83	      (![C:A,A3:A]:
5.58/5.83	         (aa(A,A,aa(A,fun(A,A),plus_plus(A),A3),C) =
5.58/5.83	          aa(A,A,aa(A,fun(A,A),plus_plus(A),C),A3)))))).
5.58/5.83	tff('5', plain,
5.58/5.83	    ![X142 : $tType, X143 : X142, X144 : X142]:
5.58/5.83	      (aa(X142, X142, aa(X142, fun(X142, X142), plus_plus(X142), X144), X143)
5.58/5.83	        = aa(X142, X142, aa(X142, fun(X142, X142), plus_plus(X142), X143), 
5.58/5.83	            X144)
5.58/5.83	       | ~ comm_semiring_1(X142)),
5.58/5.83	    inference('cnf', [status(esa)],
5.58/5.83	              [fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])).
5.58/5.83	tff('6', plain,
5.58/5.83	    ![X0 : int, X1 : int]:
5.58/5.83	      (~ $true
5.58/5.83	       | aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), X0)
5.58/5.83	          = aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), X1)),
5.58/5.83	    inference('sup-', [status(thm)], ['4', '5'])).
5.58/5.83	tff('7', plain,
5.58/5.83	    ![X0 : int, X1 : int]:
5.58/5.83	      aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), X0)
5.58/5.83	       = aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), X1),
5.58/5.83	    inference('simplify', [status(thm)], ['6'])).
5.58/5.83	tff('8', plain,
5.58/5.83	    ![X0 : atom]:
5.58/5.83	      (pp(
5.58/5.83	         aa(list(int), bool, aa(atom, fun(list(int), bool), i_Z, X0), 
5.58/5.83	           cons(int, 
5.58/5.83	             aa(int, int, 
5.58/5.83	               aa(int, fun(int, int), plus_plus(int), iprod(int, ksl, xs)), 
5.58/5.83	               aa(int, int, aa(int, fun(int, int), plus_plus(int), il), m)), 
5.58/5.83	             xs)))
5.58/5.83	       | ~ member(atom, X0, set(atom, as))),
5.58/5.83	    inference('demod', [status(thm)], ['3', '7'])).
5.58/5.83	tff(conj_0, conjecture,
5.58/5.83	  (![X:atom]:
5.58/5.83	     (member(atom,X,set(atom,as)) =>
5.58/5.83	      pp(aa(list(int),bool,aa(atom,fun(list(int),bool),i_Z,X),
5.58/5.83	            cons(int,
5.58/5.83	                 aa(int,int,
5.58/5.83	                    aa(int,fun(int,int),plus_plus(int),
5.58/5.83	                       aa(int,int,aa(int,fun(int,int),plus_plus(int),il),m)),
5.58/5.83	                    iprod(int,ksl,xs)),
5.58/5.83	                 xs)))))).
5.58/5.83	tff(zf_stmt_0, negated_conjecture,
5.58/5.83	  (~
5.58/5.83	    (![X:atom]:
5.58/5.83	       (member(atom,X,set(atom,as)) =>
5.58/5.83	        pp(aa(list(int),bool,aa(atom,fun(list(int),bool),i_Z,X),
5.58/5.83	              cons(int,
5.58/5.83	                   aa(int,int,
5.58/5.83	                      aa(int,fun(int,int),plus_plus(int),
5.58/5.83	                         aa(int,int,aa(int,fun(int,int),plus_plus(int),il),m)),
5.58/5.83	                      iprod(int,ksl,xs)),
5.58/5.83	                   xs))))))).
5.58/5.83	tff('9', plain,
5.58/5.83	    ~ pp(
5.58/5.83	        aa(list(int), bool, aa(atom, fun(list(int), bool), i_Z, sk_X7), 
5.58/5.83	          cons(int, 
5.58/5.83	            aa(int, int, 
5.58/5.83	              aa(int, fun(int, int), plus_plus(int), 
5.58/5.83	                aa(int, int, aa(int, fun(int, int), plus_plus(int), il), m)), 
5.58/5.83	              iprod(int, ksl, xs)), xs))),
5.58/5.83	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.58/5.83	tff('10', plain,
5.58/5.83	    ~ pp(
5.58/5.83	        aa(list(int), bool, aa(atom, fun(list(int), bool), i_Z, sk_X7), 
5.58/5.83	          cons(int, 
5.58/5.83	            aa(int, int, 
5.58/5.83	              aa(int, fun(int, int), plus_plus(int), iprod(int, ksl, xs)), 
5.58/5.83	              aa(int, int, aa(int, fun(int, int), plus_plus(int), il), m)), 
5.58/5.83	            xs))),
5.58/5.83	    inference('demod', [status(thm)], ['9', '7'])).
5.58/5.83	tff('11', plain, (~ $true | ~ member(atom, sk_X7, set(atom, as))),
5.58/5.83	    inference('sup-', [status(thm)], ['8', '10'])).
5.58/5.83	tff('12', plain, member(atom, sk_X7, set(atom, as)),
5.58/5.83	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.58/5.83	tff('13', plain, (~ $true | ~ $true),
5.58/5.83	    inference('demod', [status(thm)], ['11', '12'])).
5.58/5.83	tff('14', plain, $false, inference('simplify', [status(thm)], ['13'])).
5.58/5.83	
5.58/5.83	% SZS output end Refutation
5.58/5.83	EOF
