%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC312+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:42:07 PM UTC 2026
% Result : Theorem 0.14s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC312+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.43 % Computer : n015.cluster.edu
% 0.14/0.43 % Model : x86_64 x86_64
% 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.43 % Memory : 8046.5625MB
% 0.14/0.43 % OS : Linux 6.8.0-71-generic
% 0.14/0.43 % CPULimit : 300
% 0.14/0.43 % WCLimit : 300
% 0.14/0.43 % DateTime : Mon Sep 21 08:17:51 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.47 % Drodi V4.1.1
% 0.14/0.52 % Refutation found
% 0.14/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.52 fof(f3,axiom,(
% 0.14/0.52 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ( memberP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(W,cons(V,X)) = U ) )) )) ) )) )),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f4,axiom,(
% 0.14/0.52 (! [U] :( ssList(U)=> ( singletonP(U)<=> (? [V] :( ssItem(V)& cons(V,nil) = U ) )) ) )),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f5,axiom,(
% 0.14/0.52 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f6,axiom,(
% 0.14/0.52 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( rearsegP(U,V)<=> (? [W] :( ssList(W)& app(W,V) = U ) )) ) )) )),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f17,axiom,(
% 0.14/0.52 ssList(nil) ),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f19,axiom,(
% 0.14/0.52 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssItem(X)=> ( cons(W,U) = cons(X,V)=> ( W = X& V = U ) ) ) )) )) )) )),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f28,axiom,(
% 0.14/0.52 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f42,axiom,(
% 0.14/0.52 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f49,axiom,(
% 0.14/0.52 (! [U] :( ssList(U)=> rearsegP(U,U) ) )),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f96,conjecture,(
% 0.14/0.52 (! [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] :( ssItem(X1)& (? [X2] :( ssList(X2)& app(cons(X1,nil),X2) = V& app(X2,cons(X1,nil)) = U ) )) )) ) ) )) )) )) )),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f97,negated_conjecture,(
% 0.14/0.52 ~((! [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] :( ssItem(X1)& (? [X2] :( ssList(X2)& app(cons(X1,nil),X2) = V& app(X2,cons(X1,nil)) = U ) )) )) ) ) )) )) )) ))),
% 0.14/0.52 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.52 fof(f106,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|(memberP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U))))))))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.14/0.52 fof(f107,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U)))))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 0.14/0.52 inference(NNF_transformation,[status(thm)],[f106])).
% 0.14/0.52 fof(f108,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(ssList(sK2_skl(V,U))&(ssList(sK3_skl(V,U))&app(sK2_skl(V,U),cons(V,sK3_skl(V,U)))=U)))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 0.14/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(W,sK2_skl(V,U)),skolemize(X,sK3_skl(V,U))],[f107])).
% 0.14/0.52 fof(f109,plain,(
% 0.14/0.52 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~memberP(X0,X1)|ssList(sK2_skl(X1,X0)))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f108])).
% 0.14/0.52 fof(f110,plain,(
% 0.14/0.52 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~memberP(X0,X1)|ssList(sK3_skl(X1,X0)))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f108])).
% 0.14/0.52 fof(f111,plain,(
% 0.14/0.52 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~memberP(X0,X1)|app(sK2_skl(X1,X0),cons(X1,sK3_skl(X1,X0)))=X0)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f108])).
% 0.14/0.52 fof(f112,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (~ssList(X0)|~ssItem(X1)|memberP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(X2,cons(X1,X3))=X0)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f108])).
% 0.14/0.52 fof(f113,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|(singletonP(U)<=>(?[V]: (ssItem(V)&cons(V,nil)=U))))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.14/0.52 fof(f114,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|((~singletonP(U)|(?[V]: (ssItem(V)&cons(V,nil)=U)))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.14/0.52 inference(NNF_transformation,[status(thm)],[f113])).
% 0.14/0.52 fof(f115,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|((~singletonP(U)|(ssItem(sK4_skl(U))&cons(sK4_skl(U),nil)=U))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.14/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(V,sK4_skl(U))],[f114])).
% 0.14/0.52 fof(f116,plain,(
% 0.14/0.52 ![X0]: (~ssList(X0)|~singletonP(X0)|ssItem(sK4_skl(X0)))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f115])).
% 0.14/0.52 fof(f117,plain,(
% 0.14/0.52 ![X0]: (~ssList(X0)|~singletonP(X0)|cons(sK4_skl(X0),nil)=X0)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f115])).
% 0.14/0.52 fof(f119,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/0.52 fof(f120,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(?[W]: (ssList(W)&app(V,W)=U)))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.14/0.52 inference(NNF_transformation,[status(thm)],[f119])).
% 0.14/0.52 fof(f121,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(ssList(sK5_skl(V,U))&app(V,sK5_skl(V,U))=U))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.14/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(W,sK5_skl(V,U))],[f120])).
% 0.14/0.52 fof(f122,plain,(
% 0.14/0.52 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sK5_skl(X1,X0)))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f121])).
% 0.14/0.52 fof(f123,plain,(
% 0.14/0.52 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sK5_skl(X1,X0))=X0)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f121])).
% 0.14/0.52 fof(f124,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|frontsegP(X0,X1)|~ssList(X2)|~app(X1,X2)=X0)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f121])).
% 0.14/0.52 fof(f125,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(rearsegP(U,V)<=>(?[W]: (ssList(W)&app(W,V)=U))))))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.14/0.52 fof(f126,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|(?[W]: (ssList(W)&app(W,V)=U)))&(rearsegP(U,V)|(![W]: (~ssList(W)|~app(W,V)=U)))))))),
% 0.14/0.52 inference(NNF_transformation,[status(thm)],[f125])).
% 0.14/0.52 fof(f127,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|(ssList(sK6_skl(V,U))&app(sK6_skl(V,U),V)=U))&(rearsegP(U,V)|(![W]: (~ssList(W)|~app(W,V)=U)))))))),
% 0.14/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(W,sK6_skl(V,U))],[f126])).
% 0.14/0.52 fof(f128,plain,(
% 0.14/0.52 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|ssList(sK6_skl(X1,X0)))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f127])).
% 0.14/0.52 fof(f129,plain,(
% 0.14/0.52 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|app(sK6_skl(X1,X0),X1)=X0)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f127])).
% 0.14/0.52 fof(f223,plain,(
% 0.14/0.52 ssList(nil)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.52 fof(f226,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssItem(W)|(![X]: (~ssItem(X)|(~cons(W,U)=cons(X,V)|(W=X&V=U)))))))))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.14/0.52 fof(f227,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X2=X3)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f226])).
% 0.14/0.52 fof(f248,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.14/0.52 fof(f249,plain,(
% 0.14/0.52 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f248])).
% 0.14/0.52 fof(f285,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|frontsegP(U,U))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.14/0.52 fof(f286,plain,(
% 0.14/0.52 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f285])).
% 0.14/0.52 fof(f304,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|rearsegP(U,U))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.14/0.52 fof(f305,plain,(
% 0.14/0.52 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f304])).
% 0.14/0.52 fof(f415,plain,(
% 0.14/0.52 (?[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]: (~ssItem(X1)|(![X2]: ((~ssList(X2)|~app(cons(X1,nil),X2)=V)|~app(X2,cons(X1,nil))=U))))))))))))))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.14/0.52 fof(f416,definition,(
% 0.14/0.52 ![U,V]: (sP0_prd(V,U)<=>(nil=V&~nil=U))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/0.52 fof(f417,plain,(
% 0.14/0.52 ?[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)))&(sP0_prd(V,U)|(neq(V,nil)&(![X1]: (~ssItem(X1)|(![X2]: ((~ssList(X2)|~app(cons(X1,nil),X2)=V)|~app(X2,cons(X1,nil))=U)))))))))))))),
% 0.14/0.52 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.14/0.52 fof(f418,plain,(
% 0.14/0.52 ?[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))))&(sP0_prd(V,U)|(neq(V,nil)&(![X1]: (~ssItem(X1)|(![X2]: ((~ssList(X2)|~app(cons(X1,nil),X2)=V)|~app(X2,cons(X1,nil))=U))))))))))))),
% 0.14/0.52 inference(miniscoping,[status(thm)],[f417])).
% 0.14/0.52 fof(f419,plain,(
% 0.14/0.52 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(((((ssList(sK50_skl)&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&(nil=sK49_skl|~nil=sK50_skl))&((ssItem(sK51_skl)&((ssList(sK52_skl)&app(cons(sK51_skl,nil),sK52_skl)=sK50_skl)&app(sK52_skl,cons(sK51_skl,nil))=sK49_skl))|~neq(sK50_skl,nil)))&(sP0_prd(sK48_skl,sK47_skl)|(neq(sK48_skl,nil)&(![X1]: (~ssItem(X1)|(![X2]: ((~ssList(X2)|~app(cons(X1,nil),X2)=sK48_skl)|~app(X2,cons(X1,nil))=sK47_skl))))))))))),
% 0.14/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl,sK52_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Y,sK51_skl),skolemize(Z,sK52_skl)],[f418])).
% 0.14/0.52 fof(f422,plain,(
% 0.14/0.52 ssList(sK49_skl)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.52 fof(f423,plain,(
% 0.14/0.52 ssList(sK50_skl)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.52 fof(f424,plain,(
% 0.14/0.52 sK48_skl=sK50_skl),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.52 fof(f425,plain,(
% 0.14/0.52 sK47_skl=sK49_skl),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.52 fof(f426,plain,(
% 0.14/0.52 nil=sK49_skl|~nil=sK50_skl),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.52 fof(f427,plain,(
% 0.14/0.52 ssItem(sK51_skl)|~neq(sK50_skl,nil)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.52 fof(f428,plain,(
% 0.14/0.52 ssList(sK52_skl)|~neq(sK50_skl,nil)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.52 fof(f429,plain,(
% 0.14/0.52 app(cons(sK51_skl,nil),sK52_skl)=sK50_skl|~neq(sK50_skl,nil)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.52 fof(f430,plain,(
% 0.14/0.52 app(sK52_skl,cons(sK51_skl,nil))=sK49_skl|~neq(sK50_skl,nil)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.52 fof(f431,plain,(
% 0.14/0.52 sP0_prd(sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.52 fof(f432,plain,(
% 0.14/0.52 ![X0,X1]: (sP0_prd(sK48_skl,sK47_skl)|~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sK48_skl|~app(X1,cons(X0,nil))=sK47_skl)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.52 fof(f433,plain,(
% 0.14/0.52 ![U,V]: ((~sP0_prd(V,U)|(nil=V&~nil=U))&(sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.14/0.52 inference(NNF_transformation,[status(thm)],[f416])).
% 0.14/0.52 fof(f434,plain,(
% 0.14/0.52 (![U,V]: (~sP0_prd(V,U)|(nil=V&~nil=U)))&(![U,V]: (sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.14/0.52 inference(miniscoping,[status(thm)],[f433])).
% 0.14/0.52 fof(f435,plain,(
% 0.14/0.52 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f434])).
% 0.14/0.52 fof(f436,plain,(
% 0.14/0.52 ![X0,X1]: (~sP0_prd(X0,X1)|~nil=X1)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f434])).
% 0.14/0.52 fof(f438,definition,(
% 0.14/0.52 sQ0_spl <=> (nil=sK49_skl)),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f439,plain,(
% 0.14/0.52 nil=sK49_skl|~sQ0_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f438])).
% 0.14/0.52 fof(f441,definition,(
% 0.14/0.52 sQ1_spl <=> (nil=sK50_skl)),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f443,plain,(
% 0.14/0.52 ~nil=sK50_skl|sQ1_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f441])).
% 0.14/0.52 fof(f444,plain,(
% 0.14/0.52 sQ0_spl|~sQ1_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f426,f438,f441])).
% 0.14/0.52 fof(f445,definition,(
% 0.14/0.52 sQ2_spl <=> (ssItem(sK51_skl))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f448,definition,(
% 0.14/0.52 sQ3_spl <=> (neq(sK50_skl,nil))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f450,plain,(
% 0.14/0.52 ~neq(sK50_skl,nil)|sQ3_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f448])).
% 0.14/0.52 fof(f451,plain,(
% 0.14/0.52 sQ2_spl|~sQ3_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f427,f445,f448])).
% 0.14/0.52 fof(f452,definition,(
% 0.14/0.52 sQ4_spl <=> (ssList(sK52_skl))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f453,plain,(
% 0.14/0.52 ssList(sK52_skl)|~sQ4_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f452])).
% 0.14/0.52 fof(f455,plain,(
% 0.14/0.52 sQ4_spl|~sQ3_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f428,f452,f448])).
% 0.14/0.52 fof(f456,definition,(
% 0.14/0.52 sQ5_spl <=> (app(cons(sK51_skl,nil),sK52_skl)=sK50_skl)),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f457,plain,(
% 0.14/0.52 app(cons(sK51_skl,nil),sK52_skl)=sK50_skl|~sQ5_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f456])).
% 0.14/0.52 fof(f459,plain,(
% 0.14/0.52 sQ5_spl|~sQ3_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f429,f456,f448])).
% 0.14/0.52 fof(f460,definition,(
% 0.14/0.52 sQ6_spl <=> (app(sK52_skl,cons(sK51_skl,nil))=sK49_skl)),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f461,plain,(
% 0.14/0.52 app(sK52_skl,cons(sK51_skl,nil))=sK49_skl|~sQ6_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f460])).
% 0.14/0.52 fof(f463,plain,(
% 0.14/0.52 sQ6_spl|~sQ3_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f430,f460,f448])).
% 0.14/0.52 fof(f464,definition,(
% 0.14/0.52 sQ7_spl <=> (sP0_prd(sK48_skl,sK47_skl))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f465,plain,(
% 0.14/0.52 sP0_prd(sK48_skl,sK47_skl)|~sQ7_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f464])).
% 0.14/0.52 fof(f467,definition,(
% 0.14/0.52 sQ8_spl <=> (neq(sK48_skl,nil))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f468,plain,(
% 0.14/0.52 neq(sK48_skl,nil)|~sQ8_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f467])).
% 0.14/0.52 fof(f470,plain,(
% 0.14/0.52 sQ7_spl|sQ8_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f431,f464,f467])).
% 0.14/0.52 fof(f471,definition,(
% 0.14/0.52 ![X0,X1]: (sQ9_spl <=> (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sK48_skl|~app(X1,cons(X0,nil))=sK47_skl))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f472,plain,(
% 0.14/0.52 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sK48_skl|~app(X1,cons(X0,nil))=sK47_skl|~sQ9_spl)),
% 0.14/0.52 inference(component_clause,[status(thm)],[f471])).
% 0.14/0.52 fof(f474,plain,(
% 0.14/0.52 sQ7_spl|sQ9_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f432,f464,f471])).
% 0.14/0.52 fof(f477,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~ssList(app(X0,cons(X1,X2)))|~ssItem(X1)|memberP(app(X0,cons(X1,X2)),X1)|~ssList(X0)|~ssList(X2))),
% 0.14/0.52 inference(destructive_equality_resolution,[status(thm)],[f112])).
% 0.14/0.52 fof(f479,plain,(
% 0.14/0.52 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 0.14/0.52 inference(destructive_equality_resolution,[status(thm)],[f124])).
% 0.14/0.52 fof(f505,plain,(
% 0.14/0.52 ![X0]: (~sP0_prd(X0,nil))),
% 0.14/0.52 inference(destructive_equality_resolution,[status(thm)],[f436])).
% 0.14/0.52 fof(f510,plain,(
% 0.14/0.52 ![X0]: (~sP0_prd(X0,sK49_skl)|~sQ0_spl)),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f439,f505])).
% 0.14/0.52 fof(f512,plain,(
% 0.14/0.52 sP0_prd(sK50_skl,sK47_skl)|~sQ7_spl),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f424,f465])).
% 0.14/0.52 fof(f513,plain,(
% 0.14/0.52 sP0_prd(sK50_skl,sK49_skl)|~sQ7_spl),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f425,f512])).
% 0.14/0.52 fof(f514,plain,(
% 0.14/0.52 $false|~sQ0_spl|~sQ7_spl),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f513,f510])).
% 0.14/0.52 fof(f515,plain,(
% 0.14/0.52 ~sQ0_spl|~sQ7_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f514])).
% 0.14/0.52 fof(f516,plain,(
% 0.14/0.52 neq(sK50_skl,nil)|~sQ8_spl),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f424,f468])).
% 0.14/0.52 fof(f517,plain,(
% 0.14/0.52 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sK50_skl|~app(X1,cons(X0,nil))=sK47_skl|~sQ9_spl)),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f424,f472])).
% 0.14/0.52 fof(f518,plain,(
% 0.14/0.52 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sK50_skl|~app(X1,cons(X0,nil))=sK49_skl|~sQ9_spl)),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f425,f517])).
% 0.14/0.52 fof(f523,plain,(
% 0.14/0.52 $false|~sQ8_spl|sQ3_spl),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f450,f516])).
% 0.14/0.52 fof(f524,plain,(
% 0.14/0.52 ~sQ8_spl|sQ3_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f523])).
% 0.14/0.52 fof(f526,plain,(
% 0.14/0.52 nil=sK50_skl|~sQ7_spl),
% 0.14/0.52 inference(resolution,[status(thm)],[f435,f513])).
% 0.14/0.52 fof(f527,plain,(
% 0.14/0.52 $false|sQ1_spl|~sQ7_spl),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f526,f443])).
% 0.14/0.52 fof(f528,plain,(
% 0.14/0.52 sQ1_spl|~sQ7_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f527])).
% 0.14/0.52 fof(f559,plain,(
% 0.14/0.52 ~singletonP(sK52_skl)|ssItem(sK4_skl(sK52_skl))|~sQ4_spl),
% 0.14/0.52 inference(resolution,[status(thm)],[f116,f453])).
% 0.14/0.52 fof(f575,definition,(
% 0.14/0.52 sQ14_spl <=> (singletonP(sK52_skl))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f578,definition,(
% 0.14/0.52 sQ15_spl <=> (ssItem(sK4_skl(sK52_skl)))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f581,plain,(
% 0.14/0.52 ~sQ14_spl|sQ15_spl|~sQ4_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f559,f575,f578,f452])).
% 0.14/0.52 fof(f591,plain,(
% 0.14/0.52 ~singletonP(sK52_skl)|cons(sK4_skl(sK52_skl),nil)=sK52_skl|~sQ4_spl),
% 0.14/0.52 inference(resolution,[status(thm)],[f117,f453])).
% 0.14/0.52 fof(f601,definition,(
% 0.14/0.52 sQ20_spl <=> (cons(sK4_skl(sK52_skl),nil)=sK52_skl)),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f604,plain,(
% 0.14/0.52 ~sQ14_spl|sQ20_spl|~sQ4_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f591,f575,f601,f452])).
% 0.14/0.52 fof(f636,plain,(
% 0.14/0.52 app(nil,nil)=nil),
% 0.14/0.52 inference(resolution,[status(thm)],[f249,f223])).
% 0.14/0.52 fof(f637,plain,(
% 0.14/0.52 app(nil,sK49_skl)=sK49_skl),
% 0.14/0.52 inference(resolution,[status(thm)],[f249,f422])).
% 0.14/0.52 fof(f638,plain,(
% 0.14/0.52 app(nil,sK52_skl)=sK52_skl|~sQ4_spl),
% 0.14/0.52 inference(resolution,[status(thm)],[f249,f453])).
% 0.14/0.52 fof(f639,plain,(
% 0.14/0.52 app(nil,sK50_skl)=sK50_skl),
% 0.14/0.52 inference(resolution,[status(thm)],[f249,f423])).
% 0.14/0.52 fof(f647,plain,(
% 0.14/0.52 frontsegP(nil,nil)),
% 0.14/0.52 inference(resolution,[status(thm)],[f286,f223])).
% 0.14/0.52 fof(f648,plain,(
% 0.14/0.52 frontsegP(sK49_skl,sK49_skl)),
% 0.14/0.52 inference(resolution,[status(thm)],[f286,f422])).
% 0.14/0.52 fof(f649,plain,(
% 0.14/0.52 frontsegP(sK52_skl,sK52_skl)|~sQ4_spl),
% 0.14/0.52 inference(resolution,[status(thm)],[f286,f453])).
% 0.14/0.52 fof(f650,plain,(
% 0.14/0.52 frontsegP(sK50_skl,sK50_skl)),
% 0.14/0.52 inference(resolution,[status(thm)],[f286,f423])).
% 0.14/0.52 fof(f651,plain,(
% 0.14/0.52 rearsegP(nil,nil)),
% 0.14/0.52 inference(resolution,[status(thm)],[f305,f223])).
% 0.14/0.52 fof(f652,plain,(
% 0.14/0.52 rearsegP(sK49_skl,sK49_skl)),
% 0.14/0.52 inference(resolution,[status(thm)],[f305,f422])).
% 0.14/0.52 fof(f653,plain,(
% 0.14/0.52 rearsegP(sK52_skl,sK52_skl)|~sQ4_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f305,f453])).
% 0.14/0.53 fof(f654,plain,(
% 0.14/0.53 rearsegP(sK50_skl,sK50_skl)),
% 0.14/0.53 inference(resolution,[status(thm)],[f305,f423])).
% 0.14/0.53 fof(f659,plain,(
% 0.14/0.53 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK5_skl(sK50_skl,sK50_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f122,f650])).
% 0.14/0.53 fof(f660,plain,(
% 0.14/0.53 ~ssList(sK52_skl)|~ssList(sK52_skl)|ssList(sK5_skl(sK52_skl,sK52_skl))|~sQ4_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f122,f649])).
% 0.14/0.53 fof(f661,plain,(
% 0.14/0.53 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK5_skl(sK49_skl,sK49_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f122,f648])).
% 0.14/0.53 fof(f662,plain,(
% 0.14/0.53 ~ssList(nil)|~ssList(nil)|ssList(sK5_skl(nil,nil))),
% 0.14/0.53 inference(resolution,[status(thm)],[f122,f647])).
% 0.14/0.53 fof(f663,definition,(
% 0.14/0.53 sQ24_spl <=> (ssList(sK50_skl))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f665,plain,(
% 0.14/0.53 ~ssList(sK50_skl)|sQ24_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f663])).
% 0.14/0.53 fof(f666,definition,(
% 0.14/0.53 sQ25_spl <=> (ssList(sK5_skl(sK50_skl,sK50_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f667,plain,(
% 0.14/0.53 ssList(sK5_skl(sK50_skl,sK50_skl))|~sQ25_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f666])).
% 0.14/0.53 fof(f669,plain,(
% 0.14/0.53 ~sQ24_spl|sQ25_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f659,f663,f666])).
% 0.14/0.53 fof(f670,definition,(
% 0.14/0.53 sQ26_spl <=> (ssList(sK5_skl(sK52_skl,sK52_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f671,plain,(
% 0.14/0.53 ssList(sK5_skl(sK52_skl,sK52_skl))|~sQ26_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f670])).
% 0.14/0.53 fof(f673,plain,(
% 0.14/0.53 ~sQ4_spl|sQ26_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f660,f452,f670])).
% 0.14/0.53 fof(f674,definition,(
% 0.14/0.53 sQ27_spl <=> (ssList(sK49_skl))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f676,plain,(
% 0.14/0.53 ~ssList(sK49_skl)|sQ27_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f674])).
% 0.14/0.53 fof(f677,definition,(
% 0.14/0.53 sQ28_spl <=> (ssList(sK5_skl(sK49_skl,sK49_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f678,plain,(
% 0.14/0.53 ssList(sK5_skl(sK49_skl,sK49_skl))|~sQ28_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f677])).
% 0.14/0.53 fof(f680,plain,(
% 0.14/0.53 ~sQ27_spl|sQ28_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f661,f674,f677])).
% 0.14/0.53 fof(f681,definition,(
% 0.14/0.53 sQ29_spl <=> (ssList(nil))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f683,plain,(
% 0.14/0.53 ~ssList(nil)|sQ29_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f681])).
% 0.14/0.53 fof(f684,definition,(
% 0.14/0.53 sQ30_spl <=> (ssList(sK5_skl(nil,nil)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f685,plain,(
% 0.14/0.53 ssList(sK5_skl(nil,nil))|~sQ30_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f684])).
% 0.14/0.53 fof(f687,plain,(
% 0.14/0.53 ~sQ29_spl|sQ30_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f662,f681,f684])).
% 0.14/0.53 fof(f688,plain,(
% 0.14/0.53 $false|sQ29_spl),
% 0.14/0.53 inference(forward_subsumption_resolution,[status(thm)],[f683,f223])).
% 0.14/0.53 fof(f689,plain,(
% 0.14/0.53 sQ29_spl),
% 0.14/0.53 inference(contradiction_clause,[status(thm)],[f688])).
% 0.14/0.53 fof(f690,plain,(
% 0.14/0.53 $false|sQ27_spl),
% 0.14/0.53 inference(forward_subsumption_resolution,[status(thm)],[f676,f422])).
% 0.14/0.53 fof(f691,plain,(
% 0.14/0.53 sQ27_spl),
% 0.14/0.53 inference(contradiction_clause,[status(thm)],[f690])).
% 0.14/0.53 fof(f692,plain,(
% 0.14/0.53 $false|sQ24_spl),
% 0.14/0.53 inference(forward_subsumption_resolution,[status(thm)],[f665,f423])).
% 0.14/0.53 fof(f693,plain,(
% 0.14/0.53 sQ24_spl),
% 0.14/0.53 inference(contradiction_clause,[status(thm)],[f692])).
% 0.14/0.53 fof(f694,plain,(
% 0.14/0.53 ~ssList(sK50_skl)|~ssList(sK50_skl)|app(sK50_skl,sK5_skl(sK50_skl,sK50_skl))=sK50_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f123,f650])).
% 0.14/0.53 fof(f695,plain,(
% 0.14/0.53 ~ssList(sK52_skl)|~ssList(sK52_skl)|app(sK52_skl,sK5_skl(sK52_skl,sK52_skl))=sK52_skl|~sQ4_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f123,f649])).
% 0.14/0.53 fof(f696,plain,(
% 0.14/0.53 ~ssList(sK49_skl)|~ssList(sK49_skl)|app(sK49_skl,sK5_skl(sK49_skl,sK49_skl))=sK49_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f123,f648])).
% 0.14/0.53 fof(f697,plain,(
% 0.14/0.53 ~ssList(nil)|~ssList(nil)|app(nil,sK5_skl(nil,nil))=nil),
% 0.14/0.53 inference(resolution,[status(thm)],[f123,f647])).
% 0.14/0.53 fof(f698,definition,(
% 0.14/0.53 sQ31_spl <=> (app(sK50_skl,sK5_skl(sK50_skl,sK50_skl))=sK50_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f701,plain,(
% 0.14/0.53 ~sQ24_spl|sQ31_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f694,f663,f698])).
% 0.14/0.53 fof(f702,definition,(
% 0.14/0.53 sQ32_spl <=> (app(sK52_skl,sK5_skl(sK52_skl,sK52_skl))=sK52_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f705,plain,(
% 0.14/0.53 ~sQ4_spl|sQ32_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f695,f452,f702])).
% 0.14/0.53 fof(f706,definition,(
% 0.14/0.53 sQ33_spl <=> (app(sK49_skl,sK5_skl(sK49_skl,sK49_skl))=sK49_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f709,plain,(
% 0.14/0.53 ~sQ27_spl|sQ33_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f696,f674,f706])).
% 0.14/0.53 fof(f710,definition,(
% 0.14/0.53 sQ34_spl <=> (app(nil,sK5_skl(nil,nil))=nil)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f713,plain,(
% 0.14/0.53 ~sQ29_spl|sQ34_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f697,f681,f710])).
% 0.14/0.53 fof(f714,plain,(
% 0.14/0.53 ~ssList(sK49_skl)|~ssItem(sK51_skl)|memberP(app(sK52_skl,cons(sK51_skl,nil)),sK51_skl)|~ssList(sK52_skl)|~ssList(nil)|~sQ6_spl),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f461,f477])).
% 0.14/0.53 fof(f715,definition,(
% 0.14/0.53 sQ35_spl <=> (memberP(app(sK52_skl,cons(sK51_skl,nil)),sK51_skl))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f716,plain,(
% 0.14/0.53 memberP(app(sK52_skl,cons(sK51_skl,nil)),sK51_skl)|~sQ35_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f715])).
% 0.14/0.53 fof(f718,plain,(
% 0.14/0.53 ~sQ27_spl|~sQ2_spl|sQ35_spl|~sQ4_spl|~sQ29_spl|~sQ6_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f714,f674,f445,f715,f452,f681,f460])).
% 0.14/0.53 fof(f719,plain,(
% 0.14/0.53 memberP(sK49_skl,sK51_skl)|~sQ6_spl|~sQ35_spl),
% 0.14/0.53 inference(forward_demodulation,[status(thm)],[f461,f716])).
% 0.14/0.53 fof(f720,plain,(
% 0.14/0.53 ~ssList(sK49_skl)|~ssItem(sK51_skl)|app(sK2_skl(sK51_skl,sK49_skl),cons(sK51_skl,sK3_skl(sK51_skl,sK49_skl)))=sK49_skl|~sQ6_spl|~sQ35_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f719,f111])).
% 0.14/0.53 fof(f721,plain,(
% 0.14/0.53 ~ssList(sK49_skl)|~ssItem(sK51_skl)|ssList(sK3_skl(sK51_skl,sK49_skl))|~sQ6_spl|~sQ35_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f719,f110])).
% 0.14/0.53 fof(f722,plain,(
% 0.14/0.53 ~ssList(sK49_skl)|~ssItem(sK51_skl)|ssList(sK2_skl(sK51_skl,sK49_skl))|~sQ6_spl|~sQ35_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f719,f109])).
% 0.14/0.53 fof(f723,definition,(
% 0.14/0.53 sQ36_spl <=> (app(sK2_skl(sK51_skl,sK49_skl),cons(sK51_skl,sK3_skl(sK51_skl,sK49_skl)))=sK49_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f726,plain,(
% 0.14/0.53 ~sQ27_spl|~sQ2_spl|sQ36_spl|~sQ6_spl|~sQ35_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f720,f674,f445,f723,f460,f715])).
% 0.14/0.53 fof(f727,definition,(
% 0.14/0.53 sQ37_spl <=> (ssList(sK3_skl(sK51_skl,sK49_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f728,plain,(
% 0.14/0.53 ssList(sK3_skl(sK51_skl,sK49_skl))|~sQ37_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f727])).
% 0.14/0.53 fof(f730,plain,(
% 0.14/0.53 ~sQ27_spl|~sQ2_spl|sQ37_spl|~sQ6_spl|~sQ35_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f721,f674,f445,f727,f460,f715])).
% 0.14/0.53 fof(f731,definition,(
% 0.14/0.53 sQ38_spl <=> (ssList(sK2_skl(sK51_skl,sK49_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f732,plain,(
% 0.14/0.53 ssList(sK2_skl(sK51_skl,sK49_skl))|~sQ38_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f731])).
% 0.14/0.53 fof(f734,plain,(
% 0.14/0.53 ~sQ27_spl|~sQ2_spl|sQ38_spl|~sQ6_spl|~sQ35_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f722,f674,f445,f731,f460,f715])).
% 0.14/0.53 fof(f740,plain,(
% 0.14/0.53 ~singletonP(sK5_skl(sK52_skl,sK52_skl))|cons(sK4_skl(sK5_skl(sK52_skl,sK52_skl)),nil)=sK5_skl(sK52_skl,sK52_skl)|~sQ26_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f671,f117])).
% 0.14/0.53 fof(f741,plain,(
% 0.14/0.53 ~singletonP(sK5_skl(sK52_skl,sK52_skl))|ssItem(sK4_skl(sK5_skl(sK52_skl,sK52_skl)))|~sQ26_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f671,f116])).
% 0.14/0.53 fof(f743,definition,(
% 0.14/0.53 sQ39_spl <=> (singletonP(sK5_skl(sK52_skl,sK52_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f746,definition,(
% 0.14/0.53 sQ40_spl <=> (cons(sK4_skl(sK5_skl(sK52_skl,sK52_skl)),nil)=sK5_skl(sK52_skl,sK52_skl))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f749,plain,(
% 0.14/0.53 ~sQ39_spl|sQ40_spl|~sQ26_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f740,f743,f746,f670])).
% 0.14/0.53 fof(f750,definition,(
% 0.14/0.53 sQ41_spl <=> (ssItem(sK4_skl(sK5_skl(sK52_skl,sK52_skl))))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f753,plain,(
% 0.14/0.53 ~sQ39_spl|sQ41_spl|~sQ26_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f741,f743,f750,f670])).
% 0.14/0.53 fof(f759,plain,(
% 0.14/0.53 ~singletonP(sK5_skl(nil,nil))|cons(sK4_skl(sK5_skl(nil,nil)),nil)=sK5_skl(nil,nil)|~sQ30_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f685,f117])).
% 0.14/0.53 fof(f760,plain,(
% 0.14/0.53 ~singletonP(sK5_skl(nil,nil))|ssItem(sK4_skl(sK5_skl(nil,nil)))|~sQ30_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f685,f116])).
% 0.14/0.53 fof(f762,definition,(
% 0.14/0.53 sQ42_spl <=> (singletonP(sK5_skl(nil,nil)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f765,definition,(
% 0.14/0.53 sQ43_spl <=> (cons(sK4_skl(sK5_skl(nil,nil)),nil)=sK5_skl(nil,nil))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f768,plain,(
% 0.14/0.53 ~sQ42_spl|sQ43_spl|~sQ30_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f759,f762,f765,f684])).
% 0.14/0.53 fof(f769,definition,(
% 0.14/0.53 sQ44_spl <=> (ssItem(sK4_skl(sK5_skl(nil,nil))))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f772,plain,(
% 0.14/0.53 ~sQ42_spl|sQ44_spl|~sQ30_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f760,f762,f769,f684])).
% 0.14/0.53 fof(f778,plain,(
% 0.14/0.53 ~singletonP(sK5_skl(sK49_skl,sK49_skl))|cons(sK4_skl(sK5_skl(sK49_skl,sK49_skl)),nil)=sK5_skl(sK49_skl,sK49_skl)|~sQ28_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f678,f117])).
% 0.14/0.53 fof(f779,plain,(
% 0.14/0.53 ~singletonP(sK5_skl(sK49_skl,sK49_skl))|ssItem(sK4_skl(sK5_skl(sK49_skl,sK49_skl)))|~sQ28_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f678,f116])).
% 0.14/0.53 fof(f781,definition,(
% 0.14/0.53 sQ45_spl <=> (singletonP(sK5_skl(sK49_skl,sK49_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f784,definition,(
% 0.14/0.53 sQ46_spl <=> (cons(sK4_skl(sK5_skl(sK49_skl,sK49_skl)),nil)=sK5_skl(sK49_skl,sK49_skl))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f787,plain,(
% 0.14/0.53 ~sQ45_spl|sQ46_spl|~sQ28_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f778,f781,f784,f677])).
% 0.14/0.53 fof(f788,definition,(
% 0.14/0.53 sQ47_spl <=> (ssItem(sK4_skl(sK5_skl(sK49_skl,sK49_skl))))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f791,plain,(
% 0.14/0.53 ~sQ45_spl|sQ47_spl|~sQ28_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f779,f781,f788,f677])).
% 0.14/0.53 fof(f797,plain,(
% 0.14/0.53 ~singletonP(sK5_skl(sK50_skl,sK50_skl))|cons(sK4_skl(sK5_skl(sK50_skl,sK50_skl)),nil)=sK5_skl(sK50_skl,sK50_skl)|~sQ25_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f667,f117])).
% 0.14/0.53 fof(f798,plain,(
% 0.14/0.53 ~singletonP(sK5_skl(sK50_skl,sK50_skl))|ssItem(sK4_skl(sK5_skl(sK50_skl,sK50_skl)))|~sQ25_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f667,f116])).
% 0.14/0.53 fof(f800,definition,(
% 0.14/0.53 sQ48_spl <=> (singletonP(sK5_skl(sK50_skl,sK50_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f803,definition,(
% 0.14/0.53 sQ49_spl <=> (cons(sK4_skl(sK5_skl(sK50_skl,sK50_skl)),nil)=sK5_skl(sK50_skl,sK50_skl))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f806,plain,(
% 0.14/0.53 ~sQ48_spl|sQ49_spl|~sQ25_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f797,f800,f803,f666])).
% 0.14/0.53 fof(f807,definition,(
% 0.14/0.53 sQ50_spl <=> (ssItem(sK4_skl(sK5_skl(sK50_skl,sK50_skl))))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f810,plain,(
% 0.14/0.53 ~sQ48_spl|sQ50_spl|~sQ25_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f798,f800,f807,f666])).
% 0.14/0.53 fof(f816,plain,(
% 0.14/0.53 ~singletonP(sK3_skl(sK51_skl,sK49_skl))|cons(sK4_skl(sK3_skl(sK51_skl,sK49_skl)),nil)=sK3_skl(sK51_skl,sK49_skl)|~sQ37_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f728,f117])).
% 0.14/0.53 fof(f817,plain,(
% 0.14/0.53 ~singletonP(sK3_skl(sK51_skl,sK49_skl))|ssItem(sK4_skl(sK3_skl(sK51_skl,sK49_skl)))|~sQ37_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f728,f116])).
% 0.14/0.53 fof(f819,definition,(
% 0.14/0.53 sQ51_spl <=> (singletonP(sK3_skl(sK51_skl,sK49_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f822,definition,(
% 0.14/0.53 sQ52_spl <=> (cons(sK4_skl(sK3_skl(sK51_skl,sK49_skl)),nil)=sK3_skl(sK51_skl,sK49_skl))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f825,plain,(
% 0.14/0.53 ~sQ51_spl|sQ52_spl|~sQ37_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f816,f819,f822,f727])).
% 0.14/0.53 fof(f826,definition,(
% 0.14/0.53 sQ53_spl <=> (ssItem(sK4_skl(sK3_skl(sK51_skl,sK49_skl))))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f829,plain,(
% 0.14/0.53 ~sQ51_spl|sQ53_spl|~sQ37_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f817,f819,f826,f727])).
% 0.14/0.53 fof(f835,plain,(
% 0.14/0.53 ~singletonP(sK2_skl(sK51_skl,sK49_skl))|cons(sK4_skl(sK2_skl(sK51_skl,sK49_skl)),nil)=sK2_skl(sK51_skl,sK49_skl)|~sQ38_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f732,f117])).
% 0.14/0.53 fof(f836,plain,(
% 0.14/0.53 ~singletonP(sK2_skl(sK51_skl,sK49_skl))|ssItem(sK4_skl(sK2_skl(sK51_skl,sK49_skl)))|~sQ38_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f732,f116])).
% 0.14/0.53 fof(f838,definition,(
% 0.14/0.53 sQ54_spl <=> (singletonP(sK2_skl(sK51_skl,sK49_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f841,definition,(
% 0.14/0.53 sQ55_spl <=> (cons(sK4_skl(sK2_skl(sK51_skl,sK49_skl)),nil)=sK2_skl(sK51_skl,sK49_skl))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f844,plain,(
% 0.14/0.53 ~sQ54_spl|sQ55_spl|~sQ38_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f835,f838,f841,f731])).
% 0.14/0.53 fof(f845,definition,(
% 0.14/0.53 sQ56_spl <=> (ssItem(sK4_skl(sK2_skl(sK51_skl,sK49_skl))))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f848,plain,(
% 0.14/0.53 ~sQ54_spl|sQ56_spl|~sQ38_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f836,f838,f845,f731])).
% 0.14/0.53 fof(f849,plain,(
% 0.14/0.53 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X1=X1)),
% 0.14/0.53 inference(equality_resolution,[status(thm)],[f227])).
% 0.14/0.53 fof(f850,definition,(
% 0.14/0.53 ![X0]: (sQ57_spl <=> (~ssList(X0)|~ssList(X0)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f851,plain,(
% 0.14/0.53 ![X0]: (~ssList(X0)|~ssList(X0)|~sQ57_spl)),
% 0.14/0.53 inference(component_clause,[status(thm)],[f850])).
% 0.14/0.53 fof(f853,definition,(
% 0.14/0.53 ![X1]: (sQ58_spl <=> (~ssItem(X1)|~ssItem(X1)|X1=X1))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f856,plain,(
% 0.14/0.53 sQ57_spl|sQ58_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f849,f850,f853])).
% 0.14/0.53 fof(f857,plain,(
% 0.14/0.53 ![X0]: (~ssList(X0)|~sQ57_spl)),
% 0.14/0.53 inference(duplicate_literals_removal,[status(thm)],[f851])).
% 0.14/0.53 fof(f866,plain,(
% 0.14/0.53 $false|~sQ57_spl|~sQ38_spl),
% 0.14/0.53 inference(backward_subsumption_resolution,[status(thm)],[f732,f857])).
% 0.14/0.53 fof(f876,plain,(
% 0.14/0.53 ~sQ57_spl|~sQ38_spl),
% 0.14/0.53 inference(contradiction_clause,[status(thm)],[f866])).
% 0.14/0.53 fof(f892,plain,(
% 0.14/0.53 ~ssList(sK49_skl)|~ssList(sK52_skl)|frontsegP(app(sK52_skl,cons(sK51_skl,nil)),sK52_skl)|~ssList(cons(sK51_skl,nil))|~sQ6_spl),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f461,f479])).
% 0.14/0.53 fof(f893,plain,(
% 0.14/0.53 ~ssList(sK50_skl)|~ssList(nil)|frontsegP(app(nil,sK50_skl),nil)|~ssList(sK50_skl)),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f639,f479])).
% 0.14/0.53 fof(f894,plain,(
% 0.14/0.53 ~ssList(sK52_skl)|~ssList(nil)|frontsegP(app(nil,sK52_skl),nil)|~ssList(sK52_skl)|~sQ4_spl),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f638,f479])).
% 0.14/0.53 fof(f895,plain,(
% 0.14/0.53 ~ssList(sK49_skl)|~ssList(nil)|frontsegP(app(nil,sK49_skl),nil)|~ssList(sK49_skl)),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f637,f479])).
% 0.14/0.53 fof(f896,plain,(
% 0.14/0.53 ~ssList(nil)|~ssList(nil)|frontsegP(app(nil,nil),nil)|~ssList(nil)),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f636,f479])).
% 0.14/0.53 fof(f897,plain,(
% 0.14/0.53 ~ssList(sK50_skl)|~ssList(cons(sK51_skl,nil))|frontsegP(app(cons(sK51_skl,nil),sK52_skl),cons(sK51_skl,nil))|~ssList(sK52_skl)|~sQ5_spl),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f457,f479])).
% 0.14/0.53 fof(f898,definition,(
% 0.14/0.53 sQ61_spl <=> (frontsegP(app(sK52_skl,cons(sK51_skl,nil)),sK52_skl))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f901,definition,(
% 0.14/0.53 sQ62_spl <=> (ssList(cons(sK51_skl,nil)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f904,plain,(
% 0.14/0.53 ~sQ27_spl|~sQ4_spl|sQ61_spl|~sQ62_spl|~sQ6_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f892,f674,f452,f898,f901,f460])).
% 0.14/0.53 fof(f905,definition,(
% 0.14/0.53 sQ63_spl <=> (frontsegP(app(nil,sK50_skl),nil))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f908,plain,(
% 0.14/0.53 ~sQ24_spl|~sQ29_spl|sQ63_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f893,f663,f681,f905])).
% 0.14/0.53 fof(f909,definition,(
% 0.14/0.53 sQ64_spl <=> (frontsegP(app(nil,sK52_skl),nil))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f912,plain,(
% 0.14/0.53 ~sQ4_spl|~sQ29_spl|sQ64_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f894,f452,f681,f909])).
% 0.14/0.53 fof(f913,definition,(
% 0.14/0.53 sQ65_spl <=> (frontsegP(app(nil,sK49_skl),nil))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f916,plain,(
% 0.14/0.53 ~sQ27_spl|~sQ29_spl|sQ65_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f895,f674,f681,f913])).
% 0.14/0.53 fof(f917,definition,(
% 0.14/0.53 sQ66_spl <=> (frontsegP(app(nil,nil),nil))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f920,plain,(
% 0.14/0.53 ~sQ29_spl|sQ66_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f896,f681,f917])).
% 0.14/0.53 fof(f921,definition,(
% 0.14/0.53 sQ67_spl <=> (frontsegP(app(cons(sK51_skl,nil),sK52_skl),cons(sK51_skl,nil)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f924,plain,(
% 0.14/0.53 ~sQ24_spl|~sQ62_spl|sQ67_spl|~sQ4_spl|~sQ5_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f897,f663,f901,f921,f452,f456])).
% 0.14/0.53 fof(f929,plain,(
% 0.14/0.53 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK6_skl(sK50_skl,sK50_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f128,f654])).
% 0.14/0.53 fof(f930,plain,(
% 0.14/0.53 ~ssList(sK52_skl)|~ssList(sK52_skl)|ssList(sK6_skl(sK52_skl,sK52_skl))|~sQ4_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f128,f653])).
% 0.14/0.53 fof(f931,plain,(
% 0.14/0.53 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK6_skl(sK49_skl,sK49_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f128,f652])).
% 0.14/0.53 fof(f932,plain,(
% 0.14/0.53 ~ssList(nil)|~ssList(nil)|ssList(sK6_skl(nil,nil))),
% 0.14/0.53 inference(resolution,[status(thm)],[f128,f651])).
% 0.14/0.53 fof(f933,definition,(
% 0.14/0.53 sQ68_spl <=> (ssList(sK6_skl(sK50_skl,sK50_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f936,plain,(
% 0.14/0.53 ~sQ24_spl|sQ68_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f929,f663,f933])).
% 0.14/0.53 fof(f937,definition,(
% 0.14/0.53 sQ69_spl <=> (ssList(sK6_skl(sK52_skl,sK52_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f940,plain,(
% 0.14/0.53 ~sQ4_spl|sQ69_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f930,f452,f937])).
% 0.14/0.53 fof(f941,definition,(
% 0.14/0.53 sQ70_spl <=> (ssList(sK6_skl(sK49_skl,sK49_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f944,plain,(
% 0.14/0.53 ~sQ27_spl|sQ70_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f931,f674,f941])).
% 0.14/0.53 fof(f945,definition,(
% 0.14/0.53 sQ71_spl <=> (ssList(sK6_skl(nil,nil)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f948,plain,(
% 0.14/0.53 ~sQ29_spl|sQ71_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f932,f681,f945])).
% 0.14/0.53 fof(f949,plain,(
% 0.14/0.53 ~ssList(sK50_skl)|~ssList(sK50_skl)|app(sK6_skl(sK50_skl,sK50_skl),sK50_skl)=sK50_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f129,f654])).
% 0.14/0.53 fof(f950,plain,(
% 0.14/0.53 ~ssList(sK52_skl)|~ssList(sK52_skl)|app(sK6_skl(sK52_skl,sK52_skl),sK52_skl)=sK52_skl|~sQ4_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f129,f653])).
% 0.14/0.53 fof(f951,plain,(
% 0.14/0.53 ~ssList(sK49_skl)|~ssList(sK49_skl)|app(sK6_skl(sK49_skl,sK49_skl),sK49_skl)=sK49_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f129,f652])).
% 0.14/0.53 fof(f952,plain,(
% 0.14/0.53 ~ssList(nil)|~ssList(nil)|app(sK6_skl(nil,nil),nil)=nil),
% 0.14/0.53 inference(resolution,[status(thm)],[f129,f651])).
% 0.14/0.53 fof(f953,definition,(
% 0.14/0.53 sQ72_spl <=> (app(sK6_skl(sK50_skl,sK50_skl),sK50_skl)=sK50_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f956,plain,(
% 0.14/0.53 ~sQ24_spl|sQ72_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f949,f663,f953])).
% 0.14/0.53 fof(f957,definition,(
% 0.14/0.53 sQ73_spl <=> (app(sK6_skl(sK52_skl,sK52_skl),sK52_skl)=sK52_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f960,plain,(
% 0.14/0.53 ~sQ4_spl|sQ73_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f950,f452,f957])).
% 0.14/0.53 fof(f961,definition,(
% 0.14/0.53 sQ74_spl <=> (app(sK6_skl(sK49_skl,sK49_skl),sK49_skl)=sK49_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f964,plain,(
% 0.14/0.53 ~sQ27_spl|sQ74_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f951,f674,f961])).
% 0.14/0.53 fof(f965,definition,(
% 0.14/0.53 sQ75_spl <=> (app(sK6_skl(nil,nil),nil)=nil)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f968,plain,(
% 0.14/0.53 ~sQ29_spl|sQ75_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f952,f681,f965])).
% 0.14/0.53 fof(f969,plain,(
% 0.14/0.53 ~ssItem(sK51_skl)|~ssList(sK52_skl)|~app(sK52_skl,cons(sK51_skl,nil))=sK49_skl|~sQ9_spl|~sQ5_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f518,f457])).
% 0.14/0.53 fof(f971,plain,(
% 0.14/0.53 ~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ9_spl|~sQ5_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f969,f445,f452,f460,f471,f456])).
% 0.14/0.53 fof(f976,plain,(
% 0.14/0.53 $false),
% 0.14/0.53 inference(sat_refutation,[status(thm)],[f444,f451,f455,f459,f463,f470,f474,f515,f524,f528,f581,f604,f669,f673,f680,f687,f689,f691,f693,f701,f705,f709,f713,f718,f726,f730,f734,f749,f753,f768,f772,f787,f791,f806,f810,f825,f829,f844,f848,f856,f876,f904,f908,f912,f916,f920,f924,f936,f940,f944,f948,f956,f960,f964,f968,f971])).
% 0.14/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.57 % Elapsed time: 0.121780 seconds
% 0.14/0.57 % CPU time: 0.343032 seconds
% 0.14/0.57 % Total memory used: 50.218 MB
% 0.14/0.57 % Net memory used: 50.017 MB
%------------------------------------------------------------------------------