TSTP Solution File: KRS162+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS162+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:24:56 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS162+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:31:46 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f13,axiom,(
% 0.14/0.39 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,axiom,(
% 0.14/0.39 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f15,axiom,(
% 0.14/0.39 (! [X,Y] :( rp(X,Y)=> cA(Y) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f16,axiom,(
% 0.14/0.39 (! [X,Y] :( rq(X,Y)=> cB(Y) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f17,axiom,(
% 0.14/0.39 (! [X] :~ ( cB(X)& cA(X) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f18,axiom,(
% 0.14/0.39 (! [X,Y] :( rq(X,Y)=> rr(X,Y) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f19,axiom,(
% 0.14/0.39 (! [X,Y] :( rp(X,Y)=> rr(X,Y) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f20,conjecture,(
% 0.14/0.39 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( ( (? [Y0,Y1] :( rp(X,Y0)& rp(X,Y1)& Y0 != Y1 ))& (? [Y0,Y1,Y2] :( rq(X,Y0)& rq(X,Y1)& rq(X,Y2)& Y0 != Y1& Y0 != Y2& Y1 != Y2 ) ))=> (? [Y0,Y1,Y2,Y3,Y4] :( rr(X,Y0)& rr(X,Y1)& rr(X,Y2)& rr(X,Y3)& rr(X,Y4)& Y0 != Y1& Y0 != Y2& Y0 != Y3& Y0 != Y4& Y1 != Y2& Y1 != Y3& Y1 != Y4& Y2 != Y3& Y2 != Y4& Y3 != Y4 ) )) )) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f21,negated_conjecture,(
% 0.14/0.39 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( ( (? [Y0,Y1] :( rp(X,Y0)& rp(X,Y1)& Y0 != Y1 ))& (? [Y0,Y1,Y2] :( rq(X,Y0)& rq(X,Y1)& rq(X,Y2)& Y0 != Y1& Y0 != Y2& Y1 != Y2 ) ))=> (? [Y0,Y1,Y2,Y3,Y4] :( rr(X,Y0)& rr(X,Y1)& rr(X,Y2)& rr(X,Y3)& rr(X,Y4)& Y0 != Y1& Y0 != Y2& Y0 != Y3& Y0 != Y4& Y1 != Y2& Y1 != Y3& Y1 != Y4& Y2 != Y3& Y2 != Y4& Y3 != Y4 ) )) )) )),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f20])).
% 0.14/0.39 fof(f58,plain,(
% 0.14/0.39 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.14/0.39 inference(miniscoping,[status(esa)],[f13])).
% 0.14/0.39 fof(f59,plain,(
% 0.14/0.39 ![X0]: (cowlThing(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f58])).
% 0.14/0.39 fof(f60,plain,(
% 0.14/0.39 ![X0]: (~cowlNothing(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f58])).
% 0.14/0.39 fof(f61,plain,(
% 0.14/0.39 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.14/0.39 inference(NNF_transformation,[status(esa)],[f14])).
% 0.14/0.39 fof(f62,plain,(
% 0.14/0.39 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.14/0.39 inference(miniscoping,[status(esa)],[f61])).
% 0.14/0.39 fof(f63,plain,(
% 0.14/0.39 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f62])).
% 0.14/0.39 fof(f64,plain,(
% 0.14/0.39 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f62])).
% 0.14/0.39 fof(f65,plain,(
% 0.14/0.39 ![X,Y]: (~rp(X,Y)|cA(Y))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.14/0.39 fof(f66,plain,(
% 0.14/0.39 ![Y]: ((![X]: ~rp(X,Y))|cA(Y))),
% 0.14/0.39 inference(miniscoping,[status(esa)],[f65])).
% 0.14/0.39 fof(f67,plain,(
% 0.14/0.39 ![X0,X1]: (~rp(X0,X1)|cA(X1))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f66])).
% 0.14/0.39 fof(f68,plain,(
% 0.14/0.39 ![X,Y]: (~rq(X,Y)|cB(Y))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.14/0.39 fof(f69,plain,(
% 0.14/0.39 ![Y]: ((![X]: ~rq(X,Y))|cB(Y))),
% 0.14/0.39 inference(miniscoping,[status(esa)],[f68])).
% 0.14/0.39 fof(f70,plain,(
% 0.14/0.39 ![X0,X1]: (~rq(X0,X1)|cB(X1))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f69])).
% 0.14/0.39 fof(f71,plain,(
% 0.14/0.39 ![X]: (~cB(X)|~cA(X))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.14/0.39 fof(f72,plain,(
% 0.14/0.39 ![X0]: (~cB(X0)|~cA(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f71])).
% 0.14/0.39 fof(f73,plain,(
% 0.14/0.39 ![X,Y]: (~rq(X,Y)|rr(X,Y))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.14/0.39 fof(f74,plain,(
% 0.14/0.39 ![X0,X1]: (~rq(X0,X1)|rr(X0,X1))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f73])).
% 0.14/0.39 fof(f75,plain,(
% 0.14/0.39 ![X,Y]: (~rp(X,Y)|rr(X,Y))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.14/0.39 fof(f76,plain,(
% 0.14/0.39 ![X0,X1]: (~rp(X0,X1)|rr(X0,X1))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f75])).
% 0.14/0.39 fof(f77,plain,(
% 0.14/0.39 (((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X]: (((?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1))&(?[Y0,Y1,Y2]: (((((rq(X,Y0)&rq(X,Y1))&rq(X,Y2))&~Y0=Y1)&~Y0=Y2)&~Y1=Y2)))&(![Y0,Y1,Y2,Y3,Y4]: ((((((((((((((~rr(X,Y0)|~rr(X,Y1))|~rr(X,Y2))|~rr(X,Y3))|~rr(X,Y4))|Y0=Y1)|Y0=Y2)|Y0=Y3)|Y0=Y4)|Y1=Y2)|Y1=Y3)|Y1=Y4)|Y2=Y3)|Y2=Y4)|Y3=Y4)))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.14/0.39 fof(f78,plain,(
% 0.14/0.39 ![X]: (pd0_0(X)=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.14/0.39 introduced(predicate_definition,[f77])).
% 0.14/0.39 fof(f79,plain,(
% 0.14/0.39 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: pd0_0(X)))|(?[X]: (((?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1))&(?[Y0,Y1,Y2]: (((((rq(X,Y0)&rq(X,Y1))&rq(X,Y2))&~Y0=Y1)&~Y0=Y2)&~Y1=Y2)))&(![Y0,Y1,Y2,Y3,Y4]: ((((((((((((((~rr(X,Y0)|~rr(X,Y1))|~rr(X,Y2))|~rr(X,Y3))|~rr(X,Y4))|Y0=Y1)|Y0=Y2)|Y0=Y3)|Y0=Y4)|Y1=Y2)|Y1=Y3)|Y1=Y4)|Y2=Y3)|Y2=Y4)|Y3=Y4))))),
% 0.14/0.39 inference(formula_renaming,[status(thm)],[f77,f78])).
% 0.14/0.39 fof(f80,plain,(
% 0.14/0.39 (((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: pd0_0(X)))|(?[X]: (((?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1))&(?[Y1,Y2]: ((?[Y0]: ((((rq(X,Y0)&rq(X,Y1))&rq(X,Y2))&~Y0=Y1)&~Y0=Y2))&~Y1=Y2)))&(![Y3,Y4]: ((![Y2]: (((![Y1]: ((((![Y0]: ((((((((~rr(X,Y0)|~rr(X,Y1))|~rr(X,Y2))|~rr(X,Y3))|~rr(X,Y4))|Y0=Y1)|Y0=Y2)|Y0=Y3)|Y0=Y4))|Y1=Y2)|Y1=Y3)|Y1=Y4))|Y2=Y3)|Y2=Y4))|Y3=Y4))))),
% 0.14/0.39 inference(miniscoping,[status(esa)],[f79])).
% 0.14/0.39 fof(f81,plain,(
% 0.14/0.39 ((~cowlThing(sk0_0)|cowlNothing(sk0_1))|pd0_0(sk0_2))|((((rp(sk0_3,sk0_4)&rp(sk0_3,sk0_5))&~sk0_4=sk0_5)&(((((rq(sk0_3,sk0_8)&rq(sk0_3,sk0_6))&rq(sk0_3,sk0_7))&~sk0_8=sk0_6)&~sk0_8=sk0_7)&~sk0_6=sk0_7))&(![Y3,Y4]: ((![Y2]: (((![Y1]: ((((![Y0]: ((((((((~rr(sk0_3,Y0)|~rr(sk0_3,Y1))|~rr(sk0_3,Y2))|~rr(sk0_3,Y3))|~rr(sk0_3,Y4))|Y0=Y1)|Y0=Y2)|Y0=Y3)|Y0=Y4))|Y1=Y2)|Y1=Y3)|Y1=Y4))|Y2=Y3)|Y2=Y4))|Y3=Y4)))),
% 0.14/0.39 inference(skolemization,[status(esa)],[f80])).
% 0.14/0.39 fof(f82,plain,(
% 0.14/0.39 ~cowlThing(sk0_0)|cowlNothing(sk0_1)|pd0_0(sk0_2)|rp(sk0_3,sk0_4)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f81])).
% 0.14/0.39 fof(f83,plain,(
% 0.14/0.39 ~cowlThing(sk0_0)|cowlNothing(sk0_1)|pd0_0(sk0_2)|rp(sk0_3,sk0_5)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f81])).
% 0.14/0.39 fof(f84,plain,(
% 0.14/0.39 ~cowlThing(sk0_0)|cowlNothing(sk0_1)|pd0_0(sk0_2)|~sk0_4=sk0_5),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f81])).
% 0.14/0.39 fof(f85,plain,(
% 0.14/0.39 ~cowlThing(sk0_0)|cowlNothing(sk0_1)|pd0_0(sk0_2)|rq(sk0_3,sk0_8)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f81])).
% 0.14/0.39 fof(f86,plain,(
% 0.14/0.39 ~cowlThing(sk0_0)|cowlNothing(sk0_1)|pd0_0(sk0_2)|rq(sk0_3,sk0_6)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f81])).
% 0.14/0.39 fof(f87,plain,(
% 0.14/0.39 ~cowlThing(sk0_0)|cowlNothing(sk0_1)|pd0_0(sk0_2)|rq(sk0_3,sk0_7)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f81])).
% 0.14/0.39 fof(f88,plain,(
% 0.14/0.39 ~cowlThing(sk0_0)|cowlNothing(sk0_1)|pd0_0(sk0_2)|~sk0_8=sk0_6),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f81])).
% 0.14/0.39 fof(f89,plain,(
% 0.14/0.39 ~cowlThing(sk0_0)|cowlNothing(sk0_1)|pd0_0(sk0_2)|~sk0_8=sk0_7),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f81])).
% 0.14/0.39 fof(f90,plain,(
% 0.14/0.39 ~cowlThing(sk0_0)|cowlNothing(sk0_1)|pd0_0(sk0_2)|~sk0_6=sk0_7),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f81])).
% 0.14/0.39 fof(f91,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~cowlThing(sk0_0)|cowlNothing(sk0_1)|pd0_0(sk0_2)|~rr(sk0_3,X0)|~rr(sk0_3,X1)|~rr(sk0_3,X2)|~rr(sk0_3,X3)|~rr(sk0_3,X4)|X0=X1|X0=X2|X0=X3|X0=X4|X1=X2|X1=X3|X1=X4|X2=X3|X2=X4|X3=X4)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f81])).
% 0.14/0.39 fof(f92,plain,(
% 0.14/0.39 ![X]: (~pd0_0(X)|(xsd_string(X)<~>~xsd_integer(X)))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f78])).
% 0.14/0.39 fof(f93,plain,(
% 0.14/0.39 ![X]: (~pd0_0(X)|((xsd_string(X)|~xsd_integer(X))&(~xsd_string(X)|xsd_integer(X))))),
% 0.14/0.39 inference(NNF_transformation,[status(esa)],[f92])).
% 0.14/0.39 fof(f94,plain,(
% 0.14/0.39 ![X0]: (~pd0_0(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f93])).
% 0.14/0.39 fof(f95,plain,(
% 0.14/0.39 ![X0]: (~pd0_0(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f93])).
% 0.14/0.39 fof(f96,plain,(
% 0.14/0.39 spl0_0 <=> cowlThing(sk0_0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f98,plain,(
% 0.14/0.39 ~cowlThing(sk0_0)|spl0_0),
% 0.14/0.39 inference(component_clause,[status(thm)],[f96])).
% 0.14/0.39 fof(f99,plain,(
% 0.14/0.39 spl0_1 <=> cowlNothing(sk0_1)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f100,plain,(
% 0.14/0.39 cowlNothing(sk0_1)|~spl0_1),
% 0.14/0.39 inference(component_clause,[status(thm)],[f99])).
% 0.14/0.39 fof(f102,plain,(
% 0.14/0.39 spl0_2 <=> pd0_0(sk0_2)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f103,plain,(
% 0.14/0.39 pd0_0(sk0_2)|~spl0_2),
% 0.14/0.39 inference(component_clause,[status(thm)],[f102])).
% 0.14/0.39 fof(f105,plain,(
% 0.14/0.39 spl0_3 <=> rp(sk0_3,sk0_4)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f106,plain,(
% 0.14/0.39 rp(sk0_3,sk0_4)|~spl0_3),
% 0.14/0.39 inference(component_clause,[status(thm)],[f105])).
% 0.14/0.39 fof(f108,plain,(
% 0.14/0.39 ~spl0_0|spl0_1|spl0_2|spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f82,f96,f99,f102,f105])).
% 0.14/0.39 fof(f109,plain,(
% 0.14/0.39 spl0_4 <=> rp(sk0_3,sk0_5)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f110,plain,(
% 0.14/0.39 rp(sk0_3,sk0_5)|~spl0_4),
% 0.14/0.39 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.39 fof(f112,plain,(
% 0.14/0.39 ~spl0_0|spl0_1|spl0_2|spl0_4),
% 0.14/0.39 inference(split_clause,[status(thm)],[f83,f96,f99,f102,f109])).
% 0.14/0.39 fof(f113,plain,(
% 0.14/0.39 spl0_5 <=> sk0_4=sk0_5),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f116,plain,(
% 0.14/0.39 ~spl0_0|spl0_1|spl0_2|~spl0_5),
% 0.14/0.39 inference(split_clause,[status(thm)],[f84,f96,f99,f102,f113])).
% 0.14/0.39 fof(f117,plain,(
% 0.14/0.39 spl0_6 <=> rq(sk0_3,sk0_8)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f118,plain,(
% 0.14/0.39 rq(sk0_3,sk0_8)|~spl0_6),
% 0.14/0.39 inference(component_clause,[status(thm)],[f117])).
% 0.14/0.39 fof(f120,plain,(
% 0.14/0.39 ~spl0_0|spl0_1|spl0_2|spl0_6),
% 0.14/0.39 inference(split_clause,[status(thm)],[f85,f96,f99,f102,f117])).
% 0.14/0.39 fof(f121,plain,(
% 0.14/0.39 spl0_7 <=> rq(sk0_3,sk0_6)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f122,plain,(
% 0.14/0.39 rq(sk0_3,sk0_6)|~spl0_7),
% 0.14/0.39 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.39 fof(f124,plain,(
% 0.14/0.39 ~spl0_0|spl0_1|spl0_2|spl0_7),
% 0.14/0.39 inference(split_clause,[status(thm)],[f86,f96,f99,f102,f121])).
% 0.14/0.39 fof(f125,plain,(
% 0.14/0.39 spl0_8 <=> rq(sk0_3,sk0_7)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f126,plain,(
% 0.14/0.39 rq(sk0_3,sk0_7)|~spl0_8),
% 0.14/0.39 inference(component_clause,[status(thm)],[f125])).
% 0.14/0.39 fof(f128,plain,(
% 0.14/0.39 ~spl0_0|spl0_1|spl0_2|spl0_8),
% 0.14/0.39 inference(split_clause,[status(thm)],[f87,f96,f99,f102,f125])).
% 0.14/0.39 fof(f129,plain,(
% 0.14/0.39 spl0_9 <=> sk0_8=sk0_6),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f132,plain,(
% 0.14/0.39 ~spl0_0|spl0_1|spl0_2|~spl0_9),
% 0.14/0.39 inference(split_clause,[status(thm)],[f88,f96,f99,f102,f129])).
% 0.14/0.39 fof(f133,plain,(
% 0.14/0.39 spl0_10 <=> sk0_8=sk0_7),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f136,plain,(
% 0.14/0.39 ~spl0_0|spl0_1|spl0_2|~spl0_10),
% 0.14/0.39 inference(split_clause,[status(thm)],[f89,f96,f99,f102,f133])).
% 0.14/0.39 fof(f137,plain,(
% 0.14/0.39 spl0_11 <=> sk0_6=sk0_7),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f140,plain,(
% 0.14/0.39 ~spl0_0|spl0_1|spl0_2|~spl0_11),
% 0.14/0.39 inference(split_clause,[status(thm)],[f90,f96,f99,f102,f137])).
% 0.14/0.39 fof(f141,plain,(
% 0.14/0.39 spl0_12 <=> ~rr(sk0_3,X0)|~rr(sk0_3,X1)|~rr(sk0_3,X2)|~rr(sk0_3,X3)|~rr(sk0_3,X4)|X0=X1|X0=X2|X0=X3|X0=X4|X1=X2|X1=X3|X1=X4|X2=X3|X2=X4|X3=X4),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f142,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~rr(sk0_3,X0)|~rr(sk0_3,X1)|~rr(sk0_3,X2)|~rr(sk0_3,X3)|~rr(sk0_3,X4)|X0=X1|X0=X2|X0=X3|X0=X4|X1=X2|X1=X3|X1=X4|X2=X3|X2=X4|X3=X4|~spl0_12)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f141])).
% 0.14/0.39 fof(f144,plain,(
% 0.14/0.39 ~spl0_0|spl0_1|spl0_2|spl0_12),
% 0.14/0.39 inference(split_clause,[status(thm)],[f91,f96,f99,f102,f141])).
% 0.14/0.39 fof(f145,plain,(
% 0.14/0.39 ![X0]: (~pd0_0(X0)|~xsd_integer(X0))),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f94,f63])).
% 0.14/0.39 fof(f146,plain,(
% 0.14/0.39 ![X0]: (~pd0_0(X0)|~xsd_string(X0))),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f95,f63])).
% 0.14/0.39 fof(f147,plain,(
% 0.14/0.39 $false|spl0_0),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f98,f59])).
% 0.14/0.39 fof(f148,plain,(
% 0.14/0.39 spl0_0),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f147])).
% 0.14/0.39 fof(f149,plain,(
% 0.14/0.39 ~xsd_string(sk0_2)|~spl0_2),
% 0.14/0.39 inference(resolution,[status(thm)],[f103,f146])).
% 0.14/0.39 fof(f150,plain,(
% 0.14/0.39 ~xsd_integer(sk0_2)|~spl0_2),
% 0.14/0.39 inference(resolution,[status(thm)],[f103,f145])).
% 0.14/0.39 fof(f151,plain,(
% 0.14/0.39 xsd_integer(sk0_2)|~spl0_2),
% 0.14/0.39 inference(resolution,[status(thm)],[f149,f64])).
% 0.14/0.39 fof(f152,plain,(
% 0.14/0.39 $false|~spl0_2),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f151,f150])).
% 0.14/0.39 fof(f153,plain,(
% 0.14/0.39 ~spl0_2),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f152])).
% 0.14/0.39 fof(f154,plain,(
% 0.14/0.39 $false|~spl0_1),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f100,f60])).
% 0.14/0.39 fof(f155,plain,(
% 0.14/0.39 ~spl0_1),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f154])).
% 0.14/0.39 fof(f156,plain,(
% 0.14/0.39 cA(sk0_4)|~spl0_3),
% 0.14/0.39 inference(resolution,[status(thm)],[f106,f67])).
% 0.14/0.39 fof(f157,plain,(
% 0.14/0.39 rr(sk0_3,sk0_4)|~spl0_3),
% 0.14/0.39 inference(resolution,[status(thm)],[f106,f76])).
% 0.14/0.39 fof(f158,plain,(
% 0.14/0.39 cA(sk0_5)|~spl0_4),
% 0.14/0.39 inference(resolution,[status(thm)],[f110,f67])).
% 0.14/0.39 fof(f159,plain,(
% 0.14/0.39 rr(sk0_3,sk0_5)|~spl0_4),
% 0.14/0.39 inference(resolution,[status(thm)],[f110,f76])).
% 0.14/0.39 fof(f160,plain,(
% 0.14/0.39 cB(sk0_8)|~spl0_6),
% 0.14/0.39 inference(resolution,[status(thm)],[f118,f70])).
% 0.14/0.39 fof(f161,plain,(
% 0.14/0.39 rr(sk0_3,sk0_8)|~spl0_6),
% 0.14/0.39 inference(resolution,[status(thm)],[f118,f74])).
% 0.14/0.39 fof(f162,plain,(
% 0.14/0.39 cB(sk0_6)|~spl0_7),
% 0.14/0.39 inference(resolution,[status(thm)],[f122,f70])).
% 0.14/0.39 fof(f163,plain,(
% 0.14/0.39 rr(sk0_3,sk0_6)|~spl0_7),
% 0.14/0.39 inference(resolution,[status(thm)],[f122,f74])).
% 0.14/0.39 fof(f164,plain,(
% 0.14/0.39 cB(sk0_7)|~spl0_8),
% 0.14/0.39 inference(resolution,[status(thm)],[f126,f70])).
% 0.14/0.39 fof(f165,plain,(
% 0.14/0.39 rr(sk0_3,sk0_7)|~spl0_8),
% 0.14/0.39 inference(resolution,[status(thm)],[f126,f74])).
% 0.14/0.39 fof(f166,plain,(
% 0.14/0.39 ~cA(sk0_8)|~spl0_6),
% 0.14/0.39 inference(resolution,[status(thm)],[f160,f72])).
% 0.14/0.39 fof(f167,plain,(
% 0.14/0.39 ~cA(sk0_6)|~spl0_7),
% 0.14/0.39 inference(resolution,[status(thm)],[f162,f72])).
% 0.14/0.39 fof(f176,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~rr(sk0_3,X0)|~rr(sk0_3,X1)|~rr(sk0_3,X2)|~rr(sk0_3,X3)|X0=sk0_7|X0=X1|X0=X2|X0=X3|sk0_7=X1|sk0_7=X2|sk0_7=X3|X1=X2|X1=X3|X2=X3|~spl0_12|~spl0_8)),
% 0.14/0.39 inference(resolution,[status(thm)],[f142,f165])).
% 0.14/0.39 fof(f278,plain,(
% 0.14/0.39 ~cA(sk0_7)|~spl0_8),
% 0.14/0.39 inference(resolution,[status(thm)],[f164,f72])).
% 0.14/0.39 fof(f288,plain,(
% 0.14/0.39 spl0_34 <=> ~rr(sk0_3,X0)|~rr(sk0_3,X1)|~rr(sk0_3,X2)|X0=sk0_7|X0=sk0_6|X0=X1|X0=X2|sk0_7=X1|sk0_7=X2|sk0_6=X1|sk0_6=X2|X1=X2),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f289,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~rr(sk0_3,X0)|~rr(sk0_3,X1)|~rr(sk0_3,X2)|X0=sk0_7|X0=sk0_6|X0=X1|X0=X2|sk0_7=X1|sk0_7=X2|sk0_6=X1|sk0_6=X2|X1=X2|~spl0_34)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f288])).
% 0.14/0.39 fof(f291,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~rr(sk0_3,X0)|~rr(sk0_3,X1)|~rr(sk0_3,X2)|X0=sk0_7|X0=sk0_6|X0=X1|X0=X2|sk0_7=sk0_6|sk0_7=X1|sk0_7=X2|sk0_6=X1|sk0_6=X2|X1=X2|~spl0_12|~spl0_8|~spl0_7)),
% 0.14/0.39 inference(resolution,[status(thm)],[f176,f163])).
% 0.14/0.39 fof(f292,plain,(
% 0.14/0.39 spl0_34|spl0_11|~spl0_12|~spl0_8|~spl0_7),
% 0.14/0.39 inference(split_clause,[status(thm)],[f291,f288,f137,f141,f125,f121])).
% 0.14/0.39 fof(f306,plain,(
% 0.14/0.39 spl0_38 <=> sk0_7=sk0_5),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f307,plain,(
% 0.14/0.39 sk0_7=sk0_5|~spl0_38),
% 0.14/0.39 inference(component_clause,[status(thm)],[f306])).
% 0.14/0.39 fof(f319,plain,(
% 0.14/0.39 spl0_41 <=> sk0_7=sk0_4),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f320,plain,(
% 0.14/0.39 sk0_7=sk0_4|~spl0_41),
% 0.14/0.39 inference(component_clause,[status(thm)],[f319])).
% 0.14/0.39 fof(f375,plain,(
% 0.14/0.39 ~cA(sk0_5)|~spl0_38|~spl0_8),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f307,f278])).
% 0.14/0.39 fof(f376,plain,(
% 0.14/0.39 $false|~spl0_4|~spl0_38|~spl0_8),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f375,f158])).
% 0.14/0.39 fof(f377,plain,(
% 0.14/0.39 ~spl0_4|~spl0_38|~spl0_8),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f376])).
% 0.14/0.39 fof(f380,plain,(
% 0.14/0.39 ~cA(sk0_4)|~spl0_41|~spl0_8),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f320,f278])).
% 0.14/0.39 fof(f381,plain,(
% 0.14/0.39 $false|~spl0_3|~spl0_41|~spl0_8),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f380,f156])).
% 0.14/0.39 fof(f382,plain,(
% 0.14/0.39 ~spl0_3|~spl0_41|~spl0_8),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f381])).
% 0.14/0.39 fof(f417,plain,(
% 0.14/0.39 spl0_50 <=> ~rr(sk0_3,X0)|~rr(sk0_3,X1)|X0=sk0_7|X0=sk0_6|X0=sk0_8|X0=X1|sk0_7=X1|sk0_6=X1|sk0_8=X1),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f418,plain,(
% 0.14/0.39 ![X0,X1]: (~rr(sk0_3,X0)|~rr(sk0_3,X1)|X0=sk0_7|X0=sk0_6|X0=sk0_8|X0=X1|sk0_7=X1|sk0_6=X1|sk0_8=X1|~spl0_50)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f417])).
% 0.14/0.39 fof(f420,plain,(
% 0.14/0.39 ![X0,X1]: (~rr(sk0_3,X0)|~rr(sk0_3,X1)|X0=sk0_7|X0=sk0_6|X0=sk0_8|X0=X1|sk0_7=sk0_8|sk0_7=X1|sk0_6=sk0_8|sk0_6=X1|sk0_8=X1|~spl0_34|~spl0_6)),
% 0.14/0.39 inference(resolution,[status(thm)],[f289,f161])).
% 0.14/0.39 fof(f421,plain,(
% 0.21/0.40 spl0_50|spl0_10|spl0_9|~spl0_34|~spl0_6),
% 0.21/0.40 inference(split_clause,[status(thm)],[f420,f417,f133,f129,f288,f117])).
% 0.21/0.40 fof(f425,plain,(
% 0.21/0.40 spl0_52 <=> sk0_6=sk0_5),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f426,plain,(
% 0.21/0.40 sk0_6=sk0_5|~spl0_52),
% 0.21/0.40 inference(component_clause,[status(thm)],[f425])).
% 0.21/0.40 fof(f438,plain,(
% 0.21/0.40 spl0_55 <=> sk0_6=sk0_4),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f439,plain,(
% 0.21/0.40 sk0_6=sk0_4|~spl0_55),
% 0.21/0.40 inference(component_clause,[status(thm)],[f438])).
% 0.21/0.40 fof(f461,plain,(
% 0.21/0.40 ~cA(sk0_5)|~spl0_52|~spl0_7),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f426,f167])).
% 0.21/0.40 fof(f462,plain,(
% 0.21/0.40 $false|~spl0_4|~spl0_52|~spl0_7),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f461,f158])).
% 0.21/0.40 fof(f463,plain,(
% 0.21/0.40 ~spl0_4|~spl0_52|~spl0_7),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f462])).
% 0.21/0.40 fof(f467,plain,(
% 0.21/0.40 cB(sk0_4)|~spl0_55|~spl0_7),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f439,f162])).
% 0.21/0.40 fof(f468,plain,(
% 0.21/0.40 ~cA(sk0_4)|~spl0_55|~spl0_7),
% 0.21/0.40 inference(resolution,[status(thm)],[f467,f72])).
% 0.21/0.40 fof(f469,plain,(
% 0.21/0.40 $false|~spl0_3|~spl0_55|~spl0_7),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f468,f156])).
% 0.21/0.40 fof(f470,plain,(
% 0.21/0.40 ~spl0_3|~spl0_55|~spl0_7),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f469])).
% 0.21/0.40 fof(f498,plain,(
% 0.21/0.40 spl0_59 <=> ~rr(sk0_3,X0)|X0=sk0_7|X0=sk0_6|X0=sk0_8|X0=sk0_5),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f499,plain,(
% 0.21/0.40 ![X0]: (~rr(sk0_3,X0)|X0=sk0_7|X0=sk0_6|X0=sk0_8|X0=sk0_5|~spl0_59)),
% 0.21/0.40 inference(component_clause,[status(thm)],[f498])).
% 0.21/0.40 fof(f501,plain,(
% 0.21/0.40 spl0_60 <=> sk0_8=sk0_5),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f502,plain,(
% 0.21/0.40 sk0_8=sk0_5|~spl0_60),
% 0.21/0.40 inference(component_clause,[status(thm)],[f501])).
% 0.21/0.40 fof(f504,plain,(
% 0.21/0.40 ![X0]: (~rr(sk0_3,X0)|X0=sk0_7|X0=sk0_6|X0=sk0_8|X0=sk0_5|sk0_7=sk0_5|sk0_6=sk0_5|sk0_8=sk0_5|~spl0_50|~spl0_4)),
% 0.21/0.40 inference(resolution,[status(thm)],[f418,f159])).
% 0.21/0.40 fof(f505,plain,(
% 0.21/0.40 spl0_59|spl0_38|spl0_52|spl0_60|~spl0_50|~spl0_4),
% 0.21/0.40 inference(split_clause,[status(thm)],[f504,f498,f306,f425,f501,f417,f109])).
% 0.21/0.40 fof(f509,plain,(
% 0.21/0.40 spl0_62 <=> sk0_8=sk0_4),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f510,plain,(
% 0.21/0.40 sk0_8=sk0_4|~spl0_62),
% 0.21/0.40 inference(component_clause,[status(thm)],[f509])).
% 0.21/0.40 fof(f522,plain,(
% 0.21/0.40 sk0_4=sk0_7|sk0_4=sk0_6|sk0_4=sk0_8|sk0_4=sk0_5|~spl0_59|~spl0_3),
% 0.21/0.40 inference(resolution,[status(thm)],[f499,f157])).
% 0.21/0.40 fof(f523,plain,(
% 0.21/0.40 spl0_41|spl0_55|spl0_62|spl0_5|~spl0_59|~spl0_3),
% 0.21/0.40 inference(split_clause,[status(thm)],[f522,f319,f438,f509,f113,f498,f105])).
% 0.21/0.40 fof(f527,plain,(
% 0.21/0.40 ~cA(sk0_4)|~spl0_62|~spl0_6),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f510,f166])).
% 0.21/0.40 fof(f528,plain,(
% 0.21/0.40 $false|~spl0_3|~spl0_62|~spl0_6),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f527,f156])).
% 0.21/0.40 fof(f529,plain,(
% 0.21/0.40 ~spl0_3|~spl0_62|~spl0_6),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f528])).
% 0.21/0.40 fof(f532,plain,(
% 0.21/0.40 cB(sk0_5)|~spl0_60|~spl0_6),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f502,f160])).
% 0.21/0.40 fof(f533,plain,(
% 0.21/0.40 ~cA(sk0_5)|~spl0_60|~spl0_6),
% 0.21/0.40 inference(resolution,[status(thm)],[f532,f72])).
% 0.21/0.40 fof(f534,plain,(
% 0.21/0.40 $false|~spl0_4|~spl0_60|~spl0_6),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f533,f158])).
% 0.21/0.40 fof(f535,plain,(
% 0.21/0.40 ~spl0_4|~spl0_60|~spl0_6),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f534])).
% 0.21/0.40 fof(f536,plain,(
% 0.21/0.40 $false),
% 0.21/0.40 inference(sat_refutation,[status(thm)],[f108,f112,f116,f120,f124,f128,f132,f136,f140,f144,f148,f153,f155,f292,f377,f382,f421,f463,f470,f505,f523,f529,f535])).
% 0.21/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.40 % Elapsed time: 0.042590 seconds
% 0.21/0.40 % CPU time: 0.213170 seconds
% 0.21/0.40 % Total memory used: 38.947 MB
% 0.21/0.40 % Net memory used: 38.557 MB
%------------------------------------------------------------------------------