TSTP Solution File: SWC310+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC310+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 : Wed May 31 12:40:00 EDT 2023
% Result : Theorem 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC310+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 11:14:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.20/0.37 % Refutation found
% 0.20/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.37 fof(f2,axiom,(
% 0.20/0.37 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f4,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> ( singletonP(U)<=> (? [V] :( ssItem(V)& cons(V,nil) = U ) )) ) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f15,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f16,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f17,axiom,(
% 0.20/0.37 ssList(nil) ),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f19,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssItem(X)=> ( cons(W,U) = cons(X,V)=> ( W = X& V = U ) ) ) )) )) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f21,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> nil != cons(V,U) ) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f22,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> ( nil != U=> ssItem(hd(U)) ) ) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f23,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> hd(cons(V,U)) = V ) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f25,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> tl(cons(V,U)) = U ) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f26,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f27,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssItem(W)=> cons(W,app(V,U)) = app(cons(W,V),U) ) )) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f28,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f96,conjecture,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( nil != W& nil = X )| ( (! [Y] :( ssItem(Y)=> (! [Z] :( ~ ssList(Z)| app(cons(Y,nil),Z) != X| app(Z,cons(Y,nil)) != W ) )))& neq(X,nil) )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [X1] :( ssList(X1)& U = X1& (? [X2] :( ssList(X2)& (? [X3] :( ssList(X3)& tl(V) = X2& app(X2,X3) = X1& (? [X4] :( ssItem(X4)& cons(X4,nil) = X3& hd(V) = X4& neq(nil,V) ))& neq(nil,V) ) )) )) )) ) ) )) )) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f97,negated_conjecture,(
% 0.20/0.37 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( nil != W& nil = X )| ( (! [Y] :( ssItem(Y)=> (! [Z] :( ~ ssList(Z)| app(cons(Y,nil),Z) != X| app(Z,cons(Y,nil)) != W ) )))& neq(X,nil) )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [X1] :( ssList(X1)& U = X1& (? [X2] :( ssList(X2)& (? [X3] :( ssList(X3)& tl(V) = X2& app(X2,X3) = X1& (? [X4] :( ssItem(X4)& cons(X4,nil) = X3& hd(V) = X4& neq(nil,V) ))& neq(nil,V) ) )) )) )) ) ) )) )) )) ))),
% 0.20/0.37 inference(negated_conjecture,[status(cth)],[f96])).
% 0.20/0.37 fof(f102,plain,(
% 0.20/0.37 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.20/0.37 inference(skolemization,[status(esa)],[f2])).
% 0.20/0.37 fof(f104,plain,(
% 0.20/0.37 ssItem(sk0_1)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f102])).
% 0.20/0.37 fof(f113,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(singletonP(U)<=>(?[V]: (ssItem(V)&cons(V,nil)=U))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.20/0.37 fof(f114,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|((~singletonP(U)|(?[V]: (ssItem(V)&cons(V,nil)=U)))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.20/0.37 inference(NNF_transformation,[status(esa)],[f113])).
% 0.20/0.37 fof(f115,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|((~singletonP(U)|(ssItem(sk0_4(U))&cons(sk0_4(U),nil)=U))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.20/0.37 inference(skolemization,[status(esa)],[f114])).
% 0.20/0.37 fof(f117,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|~singletonP(X0)|cons(sk0_4(X0),nil)=X0)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f115])).
% 0.20/0.37 fof(f217,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.20/0.37 fof(f218,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.20/0.37 inference(NNF_transformation,[status(esa)],[f217])).
% 0.20/0.37 fof(f219,plain,(
% 0.20/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f218])).
% 0.20/0.37 fof(f220,plain,(
% 0.20/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f218])).
% 0.20/0.37 fof(f221,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.20/0.37 fof(f222,plain,(
% 0.20/0.37 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f221])).
% 0.20/0.37 fof(f223,plain,(
% 0.20/0.37 ssList(nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.37 fof(f226,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssItem(W)|(![X]: (~ssItem(X)|(~cons(W,U)=cons(X,V)|(W=X&V=U)))))))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.20/0.37 fof(f227,plain,(
% 0.20/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X2=X3)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f226])).
% 0.20/0.37 fof(f228,plain,(
% 0.20/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X1=X0)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f226])).
% 0.20/0.37 fof(f234,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~nil=cons(V,U))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.20/0.37 fof(f235,plain,(
% 0.20/0.37 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~nil=cons(X1,X0))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f234])).
% 0.20/0.37 fof(f236,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(nil=U|ssItem(hd(U))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.20/0.37 fof(f237,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|nil=X0|ssItem(hd(X0)))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f236])).
% 0.20/0.37 fof(f238,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|hd(cons(V,U))=V)))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.20/0.37 fof(f239,plain,(
% 0.20/0.37 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|hd(cons(X1,X0))=X1)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f238])).
% 0.20/0.37 fof(f242,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|tl(cons(V,U))=U)))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.20/0.37 fof(f243,plain,(
% 0.20/0.37 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|tl(cons(X1,X0))=X0)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f242])).
% 0.20/0.37 fof(f244,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.20/0.37 fof(f245,plain,(
% 0.20/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f244])).
% 0.20/0.37 fof(f246,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssItem(W)|cons(W,app(V,U))=app(cons(W,V),U))))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 0.20/0.37 fof(f247,plain,(
% 0.20/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|cons(X2,app(X1,X0))=app(cons(X2,X1),X0))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f246])).
% 0.20/0.37 fof(f248,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.20/0.37 fof(f249,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f248])).
% 0.20/0.37 fof(f415,plain,(
% 0.20/0.37 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((((ssList(X)&V=X)&U=W)&(nil=W|~nil=X))&((?[Y]: (ssItem(Y)&(?[Z]: ((ssList(Z)&app(cons(Y,nil),Z)=X)&app(Z,cons(Y,nil))=W))))|~neq(X,nil)))&((nil=V&~nil=U)|(neq(V,nil)&(![X1]: ((~ssList(X1)|~U=X1)|(![X2]: (~ssList(X2)|(![X3]: ((((~ssList(X3)|~tl(V)=X2)|~app(X2,X3)=X1)|(![X4]: (((~ssItem(X4)|~cons(X4,nil)=X3)|~hd(V)=X4)|~neq(nil,V))))|~neq(nil,V)))))))))))))))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.20/0.37 fof(f416,plain,(
% 0.20/0.37 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 0.20/0.37 introduced(predicate_definition,[f415])).
% 0.20/0.37 fof(f417,plain,(
% 0.20/0.37 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((((ssList(X)&V=X)&U=W)&(nil=W|~nil=X))&((?[Y]: (ssItem(Y)&(?[Z]: ((ssList(Z)&app(cons(Y,nil),Z)=X)&app(Z,cons(Y,nil))=W))))|~neq(X,nil)))&(pd0_0(V,U)|(neq(V,nil)&(![X1]: ((~ssList(X1)|~U=X1)|(![X2]: (~ssList(X2)|(![X3]: ((((~ssList(X3)|~tl(V)=X2)|~app(X2,X3)=X1)|(![X4]: (((~ssItem(X4)|~cons(X4,nil)=X3)|~hd(V)=X4)|~neq(nil,V))))|~neq(nil,V))))))))))))))))),
% 0.20/0.37 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.20/0.37 fof(f418,plain,(
% 0.20/0.37 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&((?[X]: ((((ssList(X)&V=X)&U=W)&(nil=W|~nil=X))&((?[Y]: (ssItem(Y)&(?[Z]: ((ssList(Z)&app(cons(Y,nil),Z)=X)&app(Z,cons(Y,nil))=W))))|~neq(X,nil))))&(pd0_0(V,U)|(neq(V,nil)&(![X1]: ((~ssList(X1)|~U=X1)|(![X2]: (~ssList(X2)|((![X3]: (((~ssList(X3)|~tl(V)=X2)|~app(X2,X3)=X1)|((![X4]: ((~ssItem(X4)|~cons(X4,nil)=X3)|~hd(V)=X4))|~neq(nil,V))))|~neq(nil,V))))))))))))))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f417])).
% 0.20/0.37 fof(f419,plain,(
% 0.20/0.37 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(((((ssList(sk0_50)&sk0_48=sk0_50)&sk0_47=sk0_49)&(nil=sk0_49|~nil=sk0_50))&((ssItem(sk0_51)&((ssList(sk0_52)&app(cons(sk0_51,nil),sk0_52)=sk0_50)&app(sk0_52,cons(sk0_51,nil))=sk0_49))|~neq(sk0_50,nil)))&(pd0_0(sk0_48,sk0_47)|(neq(sk0_48,nil)&(![X1]: ((~ssList(X1)|~sk0_47=X1)|(![X2]: (~ssList(X2)|((![X3]: (((~ssList(X3)|~tl(sk0_48)=X2)|~app(X2,X3)=X1)|((![X4]: ((~ssItem(X4)|~cons(X4,nil)=X3)|~hd(sk0_48)=X4))|~neq(nil,sk0_48))))|~neq(nil,sk0_48))))))))))))),
% 0.20/0.37 inference(skolemization,[status(esa)],[f418])).
% 0.20/0.37 fof(f420,plain,(
% 0.20/0.37 ssList(sk0_47)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.20/0.37 fof(f421,plain,(
% 0.20/0.37 ssList(sk0_48)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.20/0.37 fof(f424,plain,(
% 0.20/0.37 sk0_48=sk0_50),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.20/0.37 fof(f425,plain,(
% 0.20/0.37 sk0_47=sk0_49),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.20/0.37 fof(f426,plain,(
% 0.20/0.37 nil=sk0_49|~nil=sk0_50),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.20/0.37 fof(f427,plain,(
% 0.20/0.37 ssItem(sk0_51)|~neq(sk0_50,nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.20/0.37 fof(f428,plain,(
% 0.20/0.37 ssList(sk0_52)|~neq(sk0_50,nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.20/0.37 fof(f429,plain,(
% 0.20/0.37 app(cons(sk0_51,nil),sk0_52)=sk0_50|~neq(sk0_50,nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.20/0.37 fof(f430,plain,(
% 0.20/0.37 app(sk0_52,cons(sk0_51,nil))=sk0_49|~neq(sk0_50,nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.20/0.37 fof(f431,plain,(
% 0.20/0.37 pd0_0(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.20/0.37 fof(f432,plain,(
% 0.20/0.37 ![X0,X1,X2,X3]: (pd0_0(sk0_48,sk0_47)|~ssList(X0)|~sk0_47=X0|~ssList(X1)|~ssList(X2)|~tl(sk0_48)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk0_48)=X3|~neq(nil,sk0_48)|~neq(nil,sk0_48))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.20/0.37 fof(f433,plain,(
% 0.20/0.37 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.20/0.37 fof(f434,plain,(
% 0.20/0.37 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f433])).
% 0.20/0.37 fof(f435,plain,(
% 0.20/0.37 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f433])).
% 0.20/0.37 fof(f436,plain,(
% 0.20/0.37 spl0_0 <=> nil=sk0_49),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f437,plain,(
% 0.20/0.37 nil=sk0_49|~spl0_0),
% 0.20/0.37 inference(component_clause,[status(thm)],[f436])).
% 0.20/0.37 fof(f439,plain,(
% 0.20/0.37 spl0_1 <=> nil=sk0_50),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f441,plain,(
% 0.20/0.37 ~nil=sk0_50|spl0_1),
% 0.20/0.37 inference(component_clause,[status(thm)],[f439])).
% 0.20/0.37 fof(f442,plain,(
% 0.20/0.37 spl0_0|~spl0_1),
% 0.20/0.37 inference(split_clause,[status(thm)],[f426,f436,f439])).
% 0.20/0.37 fof(f443,plain,(
% 0.20/0.37 spl0_2 <=> ssItem(sk0_51)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f446,plain,(
% 0.20/0.37 spl0_3 <=> neq(sk0_50,nil)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f448,plain,(
% 0.20/0.37 ~neq(sk0_50,nil)|spl0_3),
% 0.20/0.37 inference(component_clause,[status(thm)],[f446])).
% 0.20/0.37 fof(f449,plain,(
% 0.20/0.37 spl0_2|~spl0_3),
% 0.20/0.37 inference(split_clause,[status(thm)],[f427,f443,f446])).
% 0.20/0.37 fof(f450,plain,(
% 0.20/0.37 spl0_4 <=> ssList(sk0_52)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f453,plain,(
% 0.20/0.37 spl0_4|~spl0_3),
% 0.20/0.37 inference(split_clause,[status(thm)],[f428,f450,f446])).
% 0.20/0.37 fof(f454,plain,(
% 0.20/0.37 spl0_5 <=> app(cons(sk0_51,nil),sk0_52)=sk0_50),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f455,plain,(
% 0.20/0.37 app(cons(sk0_51,nil),sk0_52)=sk0_50|~spl0_5),
% 0.20/0.37 inference(component_clause,[status(thm)],[f454])).
% 0.20/0.37 fof(f457,plain,(
% 0.20/0.37 spl0_5|~spl0_3),
% 0.20/0.37 inference(split_clause,[status(thm)],[f429,f454,f446])).
% 0.20/0.37 fof(f458,plain,(
% 0.20/0.37 spl0_6 <=> app(sk0_52,cons(sk0_51,nil))=sk0_49),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f459,plain,(
% 0.20/0.37 app(sk0_52,cons(sk0_51,nil))=sk0_49|~spl0_6),
% 0.20/0.37 inference(component_clause,[status(thm)],[f458])).
% 0.20/0.37 fof(f461,plain,(
% 0.20/0.37 spl0_6|~spl0_3),
% 0.20/0.37 inference(split_clause,[status(thm)],[f430,f458,f446])).
% 0.20/0.37 fof(f462,plain,(
% 0.20/0.37 spl0_7 <=> pd0_0(sk0_48,sk0_47)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f463,plain,(
% 0.20/0.37 pd0_0(sk0_48,sk0_47)|~spl0_7),
% 0.20/0.37 inference(component_clause,[status(thm)],[f462])).
% 0.20/0.37 fof(f465,plain,(
% 0.20/0.37 spl0_8 <=> neq(sk0_48,nil)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f466,plain,(
% 0.20/0.37 neq(sk0_48,nil)|~spl0_8),
% 0.20/0.37 inference(component_clause,[status(thm)],[f465])).
% 0.20/0.37 fof(f468,plain,(
% 0.20/0.37 spl0_7|spl0_8),
% 0.20/0.37 inference(split_clause,[status(thm)],[f431,f462,f465])).
% 0.20/0.37 fof(f469,plain,(
% 0.20/0.37 spl0_9 <=> ~ssList(X0)|~sk0_47=X0|~ssList(X1)|~ssList(X2)|~tl(sk0_48)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk0_48)=X3),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f470,plain,(
% 0.20/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|~sk0_47=X0|~ssList(X1)|~ssList(X2)|~tl(sk0_48)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk0_48)=X3|~spl0_9)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f469])).
% 0.20/0.37 fof(f472,plain,(
% 0.20/0.37 spl0_10 <=> neq(nil,sk0_48)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f474,plain,(
% 0.20/0.37 ~neq(nil,sk0_48)|spl0_10),
% 0.20/0.37 inference(component_clause,[status(thm)],[f472])).
% 0.20/0.37 fof(f475,plain,(
% 0.20/0.37 spl0_7|spl0_9|~spl0_10),
% 0.20/0.37 inference(split_clause,[status(thm)],[f432,f462,f469,f472])).
% 0.20/0.37 fof(f491,plain,(
% 0.20/0.37 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.20/0.37 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.20/0.37 fof(f492,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.20/0.37 inference(duplicate_literals_removal,[status(esa)],[f491])).
% 0.20/0.37 fof(f506,plain,(
% 0.20/0.37 ![X0]: (~pd0_0(X0,nil))),
% 0.20/0.37 inference(destructive_equality_resolution,[status(esa)],[f435])).
% 0.20/0.37 fof(f509,plain,(
% 0.20/0.37 ~nil=sk0_48|spl0_1),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f424,f441])).
% 0.20/0.37 fof(f510,plain,(
% 0.20/0.37 ~neq(sk0_48,nil)|spl0_3),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f424,f448])).
% 0.20/0.37 fof(f511,plain,(
% 0.20/0.37 spl0_11 <=> ssList(sk0_48)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f513,plain,(
% 0.20/0.37 ~ssList(sk0_48)|spl0_11),
% 0.20/0.37 inference(component_clause,[status(thm)],[f511])).
% 0.20/0.37 fof(f514,plain,(
% 0.20/0.37 spl0_12 <=> ssList(nil)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f516,plain,(
% 0.20/0.37 ~ssList(nil)|spl0_12),
% 0.20/0.37 inference(component_clause,[status(thm)],[f514])).
% 0.20/0.37 fof(f517,plain,(
% 0.20/0.37 spl0_13 <=> sk0_48=nil),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f518,plain,(
% 0.20/0.37 sk0_48=nil|~spl0_13),
% 0.20/0.37 inference(component_clause,[status(thm)],[f517])).
% 0.20/0.37 fof(f520,plain,(
% 0.20/0.37 ~ssList(sk0_48)|~ssList(nil)|sk0_48=nil|spl0_3),
% 0.20/0.37 inference(resolution,[status(thm)],[f510,f220])).
% 0.20/0.37 fof(f521,plain,(
% 0.20/0.37 ~spl0_11|~spl0_12|spl0_13|spl0_3),
% 0.20/0.37 inference(split_clause,[status(thm)],[f520,f511,f514,f517,f446])).
% 0.20/0.37 fof(f530,plain,(
% 0.20/0.37 $false|spl0_12),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f516,f223])).
% 0.20/0.37 fof(f531,plain,(
% 0.20/0.37 spl0_12),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f530])).
% 0.20/0.37 fof(f532,plain,(
% 0.20/0.37 $false|spl0_11),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f513,f421])).
% 0.20/0.37 fof(f533,plain,(
% 0.20/0.37 spl0_11),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f532])).
% 0.20/0.37 fof(f534,plain,(
% 0.20/0.37 app(cons(sk0_51,nil),sk0_52)=sk0_48|~spl0_5),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f424,f455])).
% 0.20/0.37 fof(f535,plain,(
% 0.20/0.37 app(sk0_52,cons(sk0_51,nil))=sk0_47|~spl0_6),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f425,f459])).
% 0.20/0.37 fof(f537,plain,(
% 0.20/0.37 nil=sk0_48|~spl0_7),
% 0.20/0.37 inference(resolution,[status(thm)],[f463,f434])).
% 0.20/0.37 fof(f538,plain,(
% 0.20/0.37 $false|spl0_1|~spl0_7),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f537,f509])).
% 0.20/0.37 fof(f539,plain,(
% 0.20/0.37 spl0_1|~spl0_7),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f538])).
% 0.20/0.37 fof(f540,plain,(
% 0.20/0.37 nil=sk0_47|~spl0_0),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f425,f437])).
% 0.20/0.37 fof(f543,plain,(
% 0.20/0.37 ~ssList(nil)|~ssList(sk0_48)|nil=sk0_48|spl0_10),
% 0.20/0.37 inference(resolution,[status(thm)],[f474,f220])).
% 0.20/0.37 fof(f544,plain,(
% 0.20/0.37 ~spl0_12|~spl0_11|spl0_13|spl0_10),
% 0.20/0.37 inference(split_clause,[status(thm)],[f543,f514,f511,f517,f472])).
% 0.20/0.37 fof(f547,plain,(
% 0.20/0.37 pd0_0(sk0_48,nil)|~spl0_0|~spl0_7),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f540,f463])).
% 0.20/0.37 fof(f548,plain,(
% 0.20/0.37 $false|~spl0_0|~spl0_7),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f547,f506])).
% 0.20/0.37 fof(f549,plain,(
% 0.20/0.37 ~spl0_0|~spl0_7),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f548])).
% 0.20/0.37 fof(f550,plain,(
% 0.20/0.37 ~ssList(sk0_47)|~ssList(tl(sk0_48))|~ssList(cons(hd(sk0_48),nil))|~app(tl(sk0_48),cons(hd(sk0_48),nil))=sk0_47|~ssItem(hd(sk0_48))|~spl0_9),
% 0.20/0.37 inference(destructive_equality_resolution,[status(esa)],[f470])).
% 0.20/0.37 fof(f553,plain,(
% 0.20/0.37 nil=sk0_50|~spl0_13),
% 0.20/0.37 inference(backward_demodulation,[status(thm)],[f518,f424])).
% 0.20/0.37 fof(f554,plain,(
% 0.20/0.37 spl0_1|~spl0_13),
% 0.20/0.37 inference(split_clause,[status(thm)],[f553,f439,f517])).
% 0.20/0.37 fof(f561,plain,(
% 0.20/0.37 spl0_16 <=> ssList(tl(sk0_48))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f564,plain,(
% 0.20/0.37 spl0_17 <=> ssList(cons(hd(sk0_48),nil))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f566,plain,(
% 0.20/0.37 ~ssList(cons(hd(sk0_48),nil))|spl0_17),
% 0.20/0.37 inference(component_clause,[status(thm)],[f564])).
% 0.20/0.37 fof(f567,plain,(
% 0.20/0.37 spl0_18 <=> app(tl(sk0_48),cons(hd(sk0_48),nil))=sk0_47),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f569,plain,(
% 0.20/0.37 ~app(tl(sk0_48),cons(hd(sk0_48),nil))=sk0_47|spl0_18),
% 0.20/0.37 inference(component_clause,[status(thm)],[f567])).
% 0.20/0.37 fof(f570,plain,(
% 0.20/0.37 spl0_19 <=> ssItem(hd(sk0_48))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f572,plain,(
% 0.20/0.37 ~ssItem(hd(sk0_48))|spl0_19),
% 0.20/0.37 inference(component_clause,[status(thm)],[f570])).
% 0.20/0.37 fof(f573,plain,(
% 0.20/0.37 ~ssList(tl(sk0_48))|~ssList(cons(hd(sk0_48),nil))|~app(tl(sk0_48),cons(hd(sk0_48),nil))=sk0_47|~ssItem(hd(sk0_48))|~spl0_9),
% 0.20/0.37 inference(backward_subsumption_resolution,[status(thm)],[f550,f420])).
% 0.20/0.37 fof(f574,plain,(
% 0.20/0.37 ~spl0_16|~spl0_17|~spl0_18|~spl0_19|~spl0_9),
% 0.20/0.37 inference(split_clause,[status(thm)],[f573,f561,f564,f567,f570,f469])).
% 0.20/0.37 fof(f575,plain,(
% 0.20/0.37 ~ssList(sk0_48)|nil=sk0_48|spl0_19),
% 0.20/0.37 inference(resolution,[status(thm)],[f572,f237])).
% 0.20/0.37 fof(f576,plain,(
% 0.20/0.37 ~spl0_11|spl0_13|spl0_19),
% 0.20/0.37 inference(split_clause,[status(thm)],[f575,f511,f517,f570])).
% 0.20/0.37 fof(f577,plain,(
% 0.20/0.37 spl0_20 <=> ~ssList(X0)|~ssList(X0)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f578,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_20)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f577])).
% 0.20/0.37 fof(f580,plain,(
% 0.20/0.37 spl0_21 <=> ~ssItem(X1)|~ssItem(X1)|X1=X1),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f583,plain,(
% 0.20/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X1=X1)),
% 0.20/0.37 inference(equality_resolution,[status(esa)],[f227])).
% 0.20/0.37 fof(f584,plain,(
% 0.20/0.37 spl0_20|spl0_21),
% 0.20/0.37 inference(split_clause,[status(thm)],[f583,f577,f580])).
% 0.20/0.37 fof(f585,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|~spl0_20)),
% 0.20/0.37 inference(duplicate_literals_removal,[status(esa)],[f578])).
% 0.20/0.37 fof(f586,plain,(
% 0.20/0.37 $false|~spl0_20),
% 0.20/0.37 inference(backward_subsumption_resolution,[status(thm)],[f421,f585])).
% 0.20/0.37 fof(f587,plain,(
% 0.20/0.37 ~spl0_20),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f586])).
% 0.20/0.37 fof(f588,plain,(
% 0.20/0.37 spl0_22 <=> ~ssList(X0)|~ssList(X0)|X0=X0),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f591,plain,(
% 0.20/0.37 spl0_23 <=> ~ssItem(X1)|~ssItem(X1)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f592,plain,(
% 0.20/0.37 ![X0]: (~ssItem(X0)|~ssItem(X0)|~spl0_23)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f591])).
% 0.20/0.37 fof(f594,plain,(
% 0.20/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X0=X0)),
% 0.20/0.37 inference(equality_resolution,[status(esa)],[f228])).
% 0.20/0.37 fof(f595,plain,(
% 0.20/0.37 spl0_22|spl0_23),
% 0.20/0.37 inference(split_clause,[status(thm)],[f594,f588,f591])).
% 0.20/0.37 fof(f596,plain,(
% 0.20/0.37 spl0_24 <=> ssList(cons(sk0_51,nil))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f597,plain,(
% 0.20/0.37 ssList(cons(sk0_51,nil))|~spl0_24),
% 0.20/0.37 inference(component_clause,[status(thm)],[f596])).
% 0.20/0.37 fof(f598,plain,(
% 0.20/0.37 ~ssList(cons(sk0_51,nil))|spl0_24),
% 0.20/0.37 inference(component_clause,[status(thm)],[f596])).
% 0.20/0.37 fof(f606,plain,(
% 0.20/0.37 spl0_26 <=> cons(sk0_51,app(nil,sk0_52))=sk0_48),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f607,plain,(
% 0.20/0.37 cons(sk0_51,app(nil,sk0_52))=sk0_48|~spl0_26),
% 0.20/0.37 inference(component_clause,[status(thm)],[f606])).
% 0.20/0.37 fof(f609,plain,(
% 0.20/0.37 ~ssList(sk0_52)|~ssList(nil)|~ssItem(sk0_51)|cons(sk0_51,app(nil,sk0_52))=sk0_48|~spl0_5),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f534,f247])).
% 0.20/0.37 fof(f610,plain,(
% 0.20/0.37 ~spl0_4|~spl0_12|~spl0_2|spl0_26|~spl0_5),
% 0.20/0.37 inference(split_clause,[status(thm)],[f609,f450,f514,f443,f606,f454])).
% 0.20/0.37 fof(f623,plain,(
% 0.20/0.37 spl0_29 <=> ~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|X1=nil),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f626,plain,(
% 0.20/0.37 ![X0,X1]: (~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(nil)|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|X1=nil)),
% 0.20/0.37 inference(resolution,[status(thm)],[f117,f228])).
% 0.20/0.37 fof(f627,plain,(
% 0.20/0.37 spl0_29|~spl0_12),
% 0.20/0.37 inference(split_clause,[status(thm)],[f626,f623,f514])).
% 0.20/0.37 fof(f641,plain,(
% 0.20/0.37 ~ssList(nil)|~ssItem(sk0_51)|spl0_24),
% 0.20/0.37 inference(resolution,[status(thm)],[f598,f222])).
% 0.20/0.37 fof(f642,plain,(
% 0.20/0.37 ~spl0_12|~spl0_2|spl0_24),
% 0.20/0.37 inference(split_clause,[status(thm)],[f641,f514,f443,f596])).
% 0.20/0.37 fof(f646,plain,(
% 0.20/0.37 spl0_33 <=> ssList(app(nil,sk0_52))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f648,plain,(
% 0.20/0.37 ~ssList(app(nil,sk0_52))|spl0_33),
% 0.20/0.37 inference(component_clause,[status(thm)],[f646])).
% 0.20/0.37 fof(f656,plain,(
% 0.20/0.37 spl0_35 <=> tl(sk0_48)=app(nil,sk0_52)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f657,plain,(
% 0.20/0.37 tl(sk0_48)=app(nil,sk0_52)|~spl0_35),
% 0.20/0.37 inference(component_clause,[status(thm)],[f656])).
% 0.20/0.37 fof(f659,plain,(
% 0.20/0.37 ~ssList(app(nil,sk0_52))|~ssItem(sk0_51)|tl(sk0_48)=app(nil,sk0_52)|~spl0_26),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f607,f243])).
% 0.20/0.37 fof(f660,plain,(
% 0.20/0.37 ~spl0_33|~spl0_2|spl0_35|~spl0_26),
% 0.20/0.37 inference(split_clause,[status(thm)],[f659,f646,f443,f656,f606])).
% 0.20/0.37 fof(f661,plain,(
% 0.20/0.37 spl0_36 <=> hd(sk0_48)=sk0_51),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f662,plain,(
% 0.20/0.37 hd(sk0_48)=sk0_51|~spl0_36),
% 0.20/0.37 inference(component_clause,[status(thm)],[f661])).
% 0.20/0.37 fof(f664,plain,(
% 0.20/0.37 ~ssList(app(nil,sk0_52))|~ssItem(sk0_51)|hd(sk0_48)=sk0_51|~spl0_26),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f607,f239])).
% 0.20/0.37 fof(f665,plain,(
% 0.20/0.37 ~spl0_33|~spl0_2|spl0_36|~spl0_26),
% 0.20/0.37 inference(split_clause,[status(thm)],[f664,f646,f443,f661,f606])).
% 0.20/0.37 fof(f668,plain,(
% 0.20/0.37 ~ssList(app(nil,sk0_52))|~ssItem(sk0_51)|~nil=sk0_48|~spl0_26),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f607,f235])).
% 0.20/0.37 fof(f669,plain,(
% 0.20/0.37 ~spl0_33|~spl0_2|~spl0_13|~spl0_26),
% 0.20/0.37 inference(split_clause,[status(thm)],[f668,f646,f443,f517,f606])).
% 0.20/0.37 fof(f682,plain,(
% 0.20/0.37 ~ssList(nil)|~ssList(sk0_52)|spl0_33),
% 0.20/0.37 inference(resolution,[status(thm)],[f648,f245])).
% 0.20/0.37 fof(f683,plain,(
% 0.20/0.37 ~spl0_12|~spl0_4|spl0_33),
% 0.20/0.37 inference(split_clause,[status(thm)],[f682,f514,f450,f646])).
% 0.20/0.37 fof(f687,plain,(
% 0.20/0.37 ~app(tl(sk0_48),cons(sk0_51,nil))=sk0_47|~spl0_36|spl0_18),
% 0.20/0.37 inference(backward_demodulation,[status(thm)],[f662,f569])).
% 0.20/0.37 fof(f693,plain,(
% 0.20/0.37 spl0_39 <=> tl(sk0_48)=sk0_52),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f694,plain,(
% 0.20/0.37 tl(sk0_48)=sk0_52|~spl0_39),
% 0.20/0.37 inference(component_clause,[status(thm)],[f693])).
% 0.20/0.37 fof(f696,plain,(
% 0.20/0.37 ~ssList(sk0_52)|tl(sk0_48)=sk0_52|~spl0_35),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f657,f249])).
% 0.20/0.37 fof(f697,plain,(
% 0.20/0.37 ~spl0_4|spl0_39|~spl0_35),
% 0.20/0.37 inference(split_clause,[status(thm)],[f696,f450,f693,f656])).
% 0.20/0.37 fof(f698,plain,(
% 0.20/0.37 ~ssList(nil)|~ssList(sk0_52)|ssList(tl(sk0_48))|~spl0_35),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f657,f245])).
% 0.20/0.37 fof(f699,plain,(
% 0.20/0.37 ~spl0_12|~spl0_4|spl0_16|~spl0_35),
% 0.20/0.37 inference(split_clause,[status(thm)],[f698,f514,f450,f561,f656])).
% 0.20/0.37 fof(f700,plain,(
% 0.20/0.37 ~ssList(cons(sk0_51,nil))|~spl0_36|spl0_17),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f662,f566])).
% 0.20/0.37 fof(f701,plain,(
% 0.20/0.37 $false|~spl0_24|~spl0_36|spl0_17),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f700,f597])).
% 0.20/0.37 fof(f702,plain,(
% 0.20/0.37 ~spl0_24|~spl0_36|spl0_17),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f701])).
% 0.20/0.46 fof(f714,plain,(
% 0.20/0.46 ~app(sk0_52,cons(sk0_51,nil))=sk0_47|~spl0_39|~spl0_36|spl0_18),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f694,f687])).
% 0.20/0.46 fof(f715,plain,(
% 0.20/0.46 ~sk0_47=sk0_47|~spl0_6|~spl0_39|~spl0_36|spl0_18),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f535,f714])).
% 0.20/0.46 fof(f716,plain,(
% 0.20/0.46 $false|~spl0_6|~spl0_39|~spl0_36|spl0_18),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f715])).
% 0.20/0.46 fof(f717,plain,(
% 0.20/0.46 ~spl0_6|~spl0_39|~spl0_36|spl0_18),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f716])).
% 0.20/0.46 fof(f718,plain,(
% 0.20/0.46 ![X0]: (~ssItem(X0)|~spl0_23)),
% 0.20/0.46 inference(duplicate_literals_removal,[status(esa)],[f592])).
% 0.20/0.46 fof(f724,plain,(
% 0.20/0.46 $false|~spl0_23),
% 0.20/0.46 inference(backward_subsumption_resolution,[status(thm)],[f104,f718])).
% 0.20/0.46 fof(f725,plain,(
% 0.20/0.46 ~spl0_23),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f724])).
% 0.20/0.46 fof(f741,plain,(
% 0.20/0.46 neq(nil,nil)|~spl0_13|~spl0_8),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f518,f466])).
% 0.20/0.46 fof(f742,plain,(
% 0.20/0.46 ~ssList(nil)|~spl0_13|~spl0_8),
% 0.20/0.46 inference(resolution,[status(thm)],[f741,f492])).
% 0.20/0.46 fof(f743,plain,(
% 0.20/0.46 ~spl0_12|~spl0_13|~spl0_8),
% 0.20/0.46 inference(split_clause,[status(thm)],[f742,f514,f517,f465])).
% 0.20/0.46 fof(f744,plain,(
% 0.20/0.46 $false),
% 0.20/0.46 inference(sat_refutation,[status(thm)],[f442,f449,f453,f457,f461,f468,f475,f521,f531,f533,f539,f544,f549,f554,f574,f576,f584,f587,f595,f610,f627,f642,f660,f665,f669,f683,f697,f699,f702,f717,f725,f743])).
% 0.20/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.46 % Elapsed time: 0.115448 seconds
% 0.20/0.46 % CPU time: 0.046108 seconds
% 0.20/0.46 % Memory used: 4.251 MB
%------------------------------------------------------------------------------