%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC378+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 : n026.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 02:42:18 PM UTC 2026
% Result : Theorem 0.14s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC378+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:22:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % 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(f1,axiom,(
% 0.14/0.52 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 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(f7,axiom,(
% 0.14/0.52 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = 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(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(f36,axiom,(
% 0.14/0.52 (! [U] :( ssItem(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( memberP(app(V,W),U)<=> ( memberP(V,U)| memberP(W,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(f45,axiom,(
% 0.14/0.52 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 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(f55,axiom,(
% 0.14/0.52 (! [U] :( ssList(U)=> segmentP(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| (! [Y] :( ssList(Y)=> (! [Z] :( ~ ssList(Z)| app(Y,Z) != X| app(Z,Y) != W ) )))| (! [X1] :( ~ ssItem(X1)| ( ~ memberP(V,X1)& ~ memberP(U,X1) )| ( memberP(V,X1)& memberP(U,X1) ) ) )) )) )) )) )),
% 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| (! [Y] :( ssList(Y)=> (! [Z] :( ~ ssList(Z)| app(Y,Z) != X| app(Z,Y) != W ) )))| (! [X1] :( ~ ssItem(X1)| ( ~ memberP(V,X1)& ~ memberP(U,X1) )| ( memberP(V,X1)& memberP(U,X1) ) ) )) )) )) )) ))),
% 0.14/0.52 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.52 fof(f98,plain,(
% 0.14/0.52 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.14/0.52 fof(f99,plain,(
% 0.14/0.52 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.14/0.52 inference(NNF_transformation,[status(thm)],[f98])).
% 0.14/0.52 fof(f100,plain,(
% 0.14/0.52 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f99])).
% 0.14/0.52 fof(f101,plain,(
% 0.14/0.52 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f99])).
% 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(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(f131,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.14/0.52 fof(f132,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U)))))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.14/0.52 inference(NNF_transformation,[status(thm)],[f131])).
% 0.14/0.52 fof(f133,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(ssList(sK7_skl(V,U))&(ssList(sK8_skl(V,U))&app(app(sK7_skl(V,U),V),sK8_skl(V,U))=U)))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.14/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 0.14/0.52 fof(f134,plain,(
% 0.14/0.52 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|ssList(sK7_skl(X1,X0)))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f133])).
% 0.14/0.52 fof(f135,plain,(
% 0.14/0.52 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|ssList(sK8_skl(X1,X0)))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f133])).
% 0.14/0.52 fof(f136,plain,(
% 0.14/0.52 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|app(app(sK7_skl(X1,X0),X1),sK8_skl(X1,X0))=X0)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f133])).
% 0.14/0.52 fof(f137,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f133])).
% 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(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(f268,plain,(
% 0.14/0.52 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(memberP(app(V,W),U)<=>(memberP(V,U)|memberP(W,U))))))))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 0.14/0.52 fof(f269,plain,(
% 0.14/0.52 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~memberP(app(V,W),U)|(memberP(V,U)|memberP(W,U)))&(memberP(app(V,W),U)|(~memberP(V,U)&~memberP(W,U)))))))))),
% 0.14/0.52 inference(NNF_transformation,[status(thm)],[f268])).
% 0.14/0.52 fof(f270,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~memberP(app(X1,X2),X0)|memberP(X1,X0)|memberP(X2,X0))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f269])).
% 0.14/0.52 fof(f271,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X1,X0))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f269])).
% 0.14/0.52 fof(f272,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X2,X0))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f269])).
% 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(f294,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.14/0.52 fof(f295,plain,(
% 0.14/0.52 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f294])).
% 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(f318,plain,(
% 0.14/0.52 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 0.14/0.52 fof(f319,plain,(
% 0.14/0.52 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f318])).
% 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)&(?[Y]: (ssList(Y)&(?[Z]: ((ssList(Z)&app(Y,Z)=X)&app(Z,Y)=W)))))&(?[X1]: ((ssItem(X1)&(memberP(V,X1)|memberP(U,X1)))&(~memberP(V,X1)|~memberP(U,X1))))))))))))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.14/0.52 fof(f416,plain,(
% 0.14/0.52 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&((?[X]: (((ssList(X)&V=X)&U=W)&(?[Y]: (ssList(Y)&(?[Z]: ((ssList(Z)&app(Y,Z)=X)&app(Z,Y)=W))))))&(?[X1]: ((ssItem(X1)&(memberP(V,X1)|memberP(U,X1)))&(~memberP(V,X1)|~memberP(U,X1))))))))))),
% 0.14/0.52 inference(miniscoping,[status(thm)],[f415])).
% 0.14/0.52 fof(f417,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)&(ssList(sK51_skl)&((ssList(sK52_skl)&app(sK51_skl,sK52_skl)=sK50_skl)&app(sK52_skl,sK51_skl)=sK49_skl)))&((ssItem(sK53_skl)&(memberP(sK48_skl,sK53_skl)|memberP(sK47_skl,sK53_skl)))&(~memberP(sK48_skl,sK53_skl)|~memberP(sK47_skl,sK53_skl)))))))),
% 0.14/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl,sK52_skl,sK53_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),skolemize(X1,sK53_skl)],[f416])).
% 0.14/0.52 fof(f418,plain,(
% 0.14/0.52 ssList(sK47_skl)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f417])).
% 0.14/0.52 fof(f419,plain,(
% 0.14/0.52 ssList(sK48_skl)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f417])).
% 0.14/0.52 fof(f422,plain,(
% 0.14/0.52 sK48_skl=sK50_skl),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f417])).
% 0.14/0.52 fof(f423,plain,(
% 0.14/0.52 sK47_skl=sK49_skl),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f417])).
% 0.14/0.52 fof(f424,plain,(
% 0.14/0.52 ssList(sK51_skl)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f417])).
% 0.14/0.52 fof(f425,plain,(
% 0.14/0.52 ssList(sK52_skl)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f417])).
% 0.14/0.52 fof(f426,plain,(
% 0.14/0.52 app(sK51_skl,sK52_skl)=sK50_skl),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f417])).
% 0.14/0.52 fof(f427,plain,(
% 0.14/0.52 app(sK52_skl,sK51_skl)=sK49_skl),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f417])).
% 0.14/0.52 fof(f428,plain,(
% 0.14/0.52 ssItem(sK53_skl)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f417])).
% 0.14/0.52 fof(f429,plain,(
% 0.14/0.52 memberP(sK48_skl,sK53_skl)|memberP(sK47_skl,sK53_skl)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f417])).
% 0.14/0.52 fof(f430,plain,(
% 0.14/0.52 ~memberP(sK48_skl,sK53_skl)|~memberP(sK47_skl,sK53_skl)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f417])).
% 0.14/0.52 fof(f431,definition,(
% 0.14/0.52 sQ0_spl <=> (memberP(sK48_skl,sK53_skl))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f432,plain,(
% 0.14/0.52 memberP(sK48_skl,sK53_skl)|~sQ0_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f431])).
% 0.14/0.52 fof(f434,definition,(
% 0.14/0.52 sQ1_spl <=> (memberP(sK47_skl,sK53_skl))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f435,plain,(
% 0.14/0.52 memberP(sK47_skl,sK53_skl)|~sQ1_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f434])).
% 0.14/0.52 fof(f436,plain,(
% 0.14/0.52 ~memberP(sK47_skl,sK53_skl)|sQ1_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f434])).
% 0.14/0.52 fof(f437,plain,(
% 0.14/0.52 sQ0_spl|sQ1_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f429,f431,f434])).
% 0.14/0.52 fof(f438,plain,(
% 0.14/0.52 ~sQ0_spl|~sQ1_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f430,f431,f434])).
% 0.14/0.52 fof(f439,plain,(
% 0.14/0.52 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 0.14/0.52 inference(destructive_equality_resolution,[status(thm)],[f100])).
% 0.14/0.52 fof(f440,plain,(
% 0.14/0.52 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 0.14/0.52 inference(duplicate_literals_removal,[status(thm)],[f439])).
% 0.14/0.52 fof(f445,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.14/0.52 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.14/0.52 fof(f483,plain,(
% 0.14/0.52 app(nil,sK52_skl)=sK52_skl),
% 0.14/0.52 inference(resolution,[status(thm)],[f249,f425])).
% 0.14/0.52 fof(f484,plain,(
% 0.14/0.52 app(nil,sK51_skl)=sK51_skl),
% 0.14/0.52 inference(resolution,[status(thm)],[f249,f424])).
% 0.14/0.52 fof(f485,plain,(
% 0.14/0.52 app(nil,sK48_skl)=sK48_skl),
% 0.14/0.52 inference(resolution,[status(thm)],[f249,f419])).
% 0.14/0.52 fof(f486,plain,(
% 0.14/0.52 app(nil,sK47_skl)=sK47_skl),
% 0.14/0.52 inference(resolution,[status(thm)],[f249,f418])).
% 0.14/0.52 fof(f487,plain,(
% 0.14/0.52 app(nil,nil)=nil),
% 0.14/0.52 inference(resolution,[status(thm)],[f223,f249])).
% 0.14/0.52 fof(f490,plain,(
% 0.14/0.52 ![X0]: (~ssItem(X0)|neq(sK53_skl,X0)|sK53_skl=X0)),
% 0.14/0.52 inference(resolution,[status(thm)],[f428,f101])).
% 0.14/0.52 fof(f491,plain,(
% 0.14/0.52 app(sK51_skl,sK52_skl)=sK48_skl),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f422,f426])).
% 0.14/0.52 fof(f495,definition,(
% 0.14/0.52 sQ2_spl <=> (ssList(sK47_skl))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f497,plain,(
% 0.14/0.52 ~ssList(sK47_skl)|sQ2_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f495])).
% 0.14/0.52 fof(f498,definition,(
% 0.14/0.52 sQ3_spl <=> (ssItem(sK53_skl))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f500,plain,(
% 0.14/0.52 ~ssItem(sK53_skl)|sQ3_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f498])).
% 0.14/0.52 fof(f513,plain,(
% 0.14/0.52 $false|sQ3_spl),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f500,f428])).
% 0.14/0.52 fof(f514,plain,(
% 0.14/0.52 sQ3_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f513])).
% 0.14/0.52 fof(f515,plain,(
% 0.14/0.52 $false|sQ2_spl),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f497,f418])).
% 0.14/0.52 fof(f516,plain,(
% 0.14/0.52 sQ2_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f515])).
% 0.14/0.52 fof(f517,plain,(
% 0.14/0.52 ![X0]: (~ssItem(X0)|~ssList(sK51_skl)|~ssList(sK52_skl)|~memberP(sK48_skl,X0)|memberP(sK51_skl,X0)|memberP(sK52_skl,X0))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f491,f270])).
% 0.14/0.52 fof(f518,definition,(
% 0.14/0.52 ![X0]: (sQ7_spl <=> (~ssItem(X0)|~memberP(sK48_skl,X0)|memberP(sK51_skl,X0)|memberP(sK52_skl,X0)))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f519,plain,(
% 0.14/0.52 ![X0]: (~ssItem(X0)|~memberP(sK48_skl,X0)|memberP(sK51_skl,X0)|memberP(sK52_skl,X0)|~sQ7_spl)),
% 0.14/0.52 inference(component_clause,[status(thm)],[f518])).
% 0.14/0.52 fof(f521,definition,(
% 0.14/0.52 sQ8_spl <=> (ssList(sK51_skl))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f523,plain,(
% 0.14/0.52 ~ssList(sK51_skl)|sQ8_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f521])).
% 0.14/0.52 fof(f524,definition,(
% 0.14/0.52 sQ9_spl <=> (ssList(sK52_skl))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f526,plain,(
% 0.14/0.52 ~ssList(sK52_skl)|sQ9_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f524])).
% 0.14/0.52 fof(f527,plain,(
% 0.14/0.52 sQ7_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f517,f518,f521,f524])).
% 0.14/0.52 fof(f528,plain,(
% 0.14/0.52 $false|sQ9_spl),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f526,f425])).
% 0.14/0.52 fof(f529,plain,(
% 0.14/0.52 sQ9_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f528])).
% 0.14/0.52 fof(f531,plain,(
% 0.14/0.52 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|memberP(app(X1,sK52_skl),X0)|~memberP(X1,X0))),
% 0.14/0.52 inference(resolution,[status(thm)],[f271,f425])).
% 0.14/0.52 fof(f532,plain,(
% 0.14/0.52 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|memberP(app(X1,sK51_skl),X0)|~memberP(X1,X0))),
% 0.14/0.52 inference(resolution,[status(thm)],[f271,f424])).
% 0.14/0.52 fof(f535,plain,(
% 0.14/0.52 app(sK52_skl,sK51_skl)=sK47_skl),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f423,f427])).
% 0.14/0.52 fof(f536,plain,(
% 0.14/0.52 ![X0]: (~ssItem(X0)|~ssList(sK52_skl)|~ssList(sK51_skl)|~memberP(sK47_skl,X0)|memberP(sK52_skl,X0)|memberP(sK51_skl,X0))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f535,f270])).
% 0.14/0.52 fof(f537,definition,(
% 0.14/0.52 ![X0]: (sQ10_spl <=> (~ssItem(X0)|~memberP(sK47_skl,X0)|memberP(sK52_skl,X0)|memberP(sK51_skl,X0)))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f538,plain,(
% 0.14/0.52 ![X0]: (~ssItem(X0)|~memberP(sK47_skl,X0)|memberP(sK52_skl,X0)|memberP(sK51_skl,X0)|~sQ10_spl)),
% 0.14/0.52 inference(component_clause,[status(thm)],[f537])).
% 0.14/0.52 fof(f540,plain,(
% 0.14/0.52 sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f536,f537,f524,f521])).
% 0.14/0.52 fof(f541,plain,(
% 0.14/0.52 $false|sQ8_spl),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f523,f424])).
% 0.14/0.52 fof(f542,plain,(
% 0.14/0.52 sQ8_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f541])).
% 0.14/0.52 fof(f546,definition,(
% 0.14/0.52 sQ11_spl <=> (ssList(sK48_skl))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f548,plain,(
% 0.14/0.52 ~ssList(sK48_skl)|sQ11_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f546])).
% 0.14/0.52 fof(f561,plain,(
% 0.14/0.52 $false|sQ11_spl),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f548,f419])).
% 0.14/0.52 fof(f562,plain,(
% 0.14/0.52 sQ11_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f561])).
% 0.14/0.52 fof(f564,plain,(
% 0.14/0.52 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|memberP(app(sK52_skl,X1),X0)|~memberP(X1,X0))),
% 0.14/0.52 inference(resolution,[status(thm)],[f272,f425])).
% 0.14/0.52 fof(f565,plain,(
% 0.14/0.52 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|memberP(app(sK51_skl,X1),X0)|~memberP(X1,X0))),
% 0.14/0.52 inference(resolution,[status(thm)],[f272,f424])).
% 0.14/0.52 fof(f574,plain,(
% 0.14/0.52 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(sK52_skl)|~memberP(sK52_skl,X0)|memberP(nil,X0)|memberP(sK52_skl,X0))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f483,f270])).
% 0.14/0.52 fof(f575,definition,(
% 0.14/0.52 ![X0]: (sQ15_spl <=> (~ssItem(X0)|~memberP(sK52_skl,X0)|memberP(nil,X0)|memberP(sK52_skl,X0)))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f578,definition,(
% 0.14/0.52 sQ16_spl <=> (ssList(nil))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f580,plain,(
% 0.14/0.52 ~ssList(nil)|sQ16_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f578])).
% 0.14/0.52 fof(f581,plain,(
% 0.14/0.52 sQ15_spl|~sQ16_spl|~sQ9_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f574,f575,f578,f524])).
% 0.14/0.52 fof(f588,plain,(
% 0.14/0.52 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(sK51_skl)|~memberP(sK51_skl,X0)|memberP(nil,X0)|memberP(sK51_skl,X0))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f484,f270])).
% 0.14/0.52 fof(f589,definition,(
% 0.14/0.52 ![X0]: (sQ17_spl <=> (~ssItem(X0)|~memberP(sK51_skl,X0)|memberP(nil,X0)|memberP(sK51_skl,X0)))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f592,plain,(
% 0.14/0.52 sQ17_spl|~sQ16_spl|~sQ8_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f588,f589,f578,f521])).
% 0.14/0.52 fof(f593,plain,(
% 0.14/0.52 $false|sQ16_spl),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f580,f223])).
% 0.14/0.52 fof(f594,plain,(
% 0.14/0.52 sQ16_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f593])).
% 0.14/0.52 fof(f595,plain,(
% 0.14/0.52 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(sK48_skl)|~memberP(sK48_skl,X0)|memberP(nil,X0)|memberP(sK48_skl,X0))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f485,f270])).
% 0.14/0.52 fof(f596,definition,(
% 0.14/0.52 ![X0]: (sQ18_spl <=> (~ssItem(X0)|~memberP(sK48_skl,X0)|memberP(nil,X0)|memberP(sK48_skl,X0)))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f599,plain,(
% 0.14/0.52 sQ18_spl|~sQ16_spl|~sQ11_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f595,f596,f578,f546])).
% 0.14/0.52 fof(f615,plain,(
% 0.14/0.52 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(sK47_skl)|~memberP(sK47_skl,X0)|memberP(nil,X0)|memberP(sK47_skl,X0))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f486,f270])).
% 0.14/0.52 fof(f616,definition,(
% 0.14/0.52 ![X0]: (sQ19_spl <=> (~ssItem(X0)|~memberP(sK47_skl,X0)|memberP(nil,X0)|memberP(sK47_skl,X0)))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f619,plain,(
% 0.14/0.52 sQ19_spl|~sQ16_spl|~sQ2_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f615,f616,f578,f495])).
% 0.14/0.52 fof(f626,plain,(
% 0.14/0.52 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(nil)|~memberP(nil,X0)|memberP(nil,X0)|memberP(nil,X0))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f487,f270])).
% 0.14/0.52 fof(f627,definition,(
% 0.14/0.52 ![X0]: (sQ20_spl <=> (~ssItem(X0)|~memberP(nil,X0)|memberP(nil,X0)|memberP(nil,X0)))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f630,plain,(
% 0.14/0.52 sQ20_spl|~sQ16_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f626,f627,f578])).
% 0.14/0.52 fof(f653,plain,(
% 0.14/0.52 frontsegP(nil,nil)),
% 0.14/0.53 inference(resolution,[status(thm)],[f286,f223])).
% 0.14/0.53 fof(f654,plain,(
% 0.14/0.53 frontsegP(sK52_skl,sK52_skl)),
% 0.14/0.53 inference(resolution,[status(thm)],[f286,f425])).
% 0.14/0.53 fof(f655,plain,(
% 0.14/0.53 frontsegP(sK51_skl,sK51_skl)),
% 0.14/0.53 inference(resolution,[status(thm)],[f286,f424])).
% 0.14/0.53 fof(f656,plain,(
% 0.14/0.53 frontsegP(sK48_skl,sK48_skl)),
% 0.14/0.53 inference(resolution,[status(thm)],[f286,f419])).
% 0.14/0.53 fof(f657,plain,(
% 0.14/0.53 frontsegP(sK47_skl,sK47_skl)),
% 0.14/0.53 inference(resolution,[status(thm)],[f286,f418])).
% 0.14/0.53 fof(f658,plain,(
% 0.14/0.53 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|segmentP(app(app(nil,nil),X0),nil)|~ssList(nil)|~ssList(X0))),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f487,f445])).
% 0.14/0.53 fof(f659,plain,(
% 0.14/0.53 ![X0]: (~ssList(app(sK47_skl,X0))|~ssList(sK47_skl)|segmentP(app(app(nil,sK47_skl),X0),sK47_skl)|~ssList(nil)|~ssList(X0))),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f486,f445])).
% 0.14/0.53 fof(f660,plain,(
% 0.14/0.53 ![X0]: (~ssList(app(sK48_skl,X0))|~ssList(sK48_skl)|segmentP(app(app(nil,sK48_skl),X0),sK48_skl)|~ssList(nil)|~ssList(X0))),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f485,f445])).
% 0.14/0.53 fof(f661,plain,(
% 0.14/0.53 ![X0]: (~ssList(app(sK51_skl,X0))|~ssList(sK51_skl)|segmentP(app(app(nil,sK51_skl),X0),sK51_skl)|~ssList(nil)|~ssList(X0))),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f484,f445])).
% 0.14/0.53 fof(f662,plain,(
% 0.14/0.53 ![X0]: (~ssList(app(sK52_skl,X0))|~ssList(sK52_skl)|segmentP(app(app(nil,sK52_skl),X0),sK52_skl)|~ssList(nil)|~ssList(X0))),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f483,f445])).
% 0.14/0.53 fof(f663,plain,(
% 0.14/0.53 ![X0]: (~ssList(app(sK47_skl,X0))|~ssList(sK51_skl)|segmentP(app(app(sK52_skl,sK51_skl),X0),sK51_skl)|~ssList(sK52_skl)|~ssList(X0))),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f535,f445])).
% 0.14/0.53 fof(f664,plain,(
% 0.14/0.53 ![X0]: (~ssList(app(sK48_skl,X0))|~ssList(sK52_skl)|segmentP(app(app(sK51_skl,sK52_skl),X0),sK52_skl)|~ssList(sK51_skl)|~ssList(X0))),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f491,f445])).
% 0.14/0.53 fof(f665,definition,(
% 0.14/0.53 ![X0]: (sQ21_spl <=> (~ssList(app(nil,X0))|segmentP(app(app(nil,nil),X0),nil)|~ssList(X0)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f668,plain,(
% 0.14/0.53 sQ21_spl|~sQ16_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f658,f665,f578])).
% 0.14/0.53 fof(f669,definition,(
% 0.14/0.53 ![X0]: (sQ22_spl <=> (~ssList(app(sK47_skl,X0))|segmentP(app(app(nil,sK47_skl),X0),sK47_skl)|~ssList(X0)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f672,plain,(
% 0.14/0.53 sQ22_spl|~sQ2_spl|~sQ16_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f659,f669,f495,f578])).
% 0.14/0.53 fof(f673,definition,(
% 0.14/0.53 ![X0]: (sQ23_spl <=> (~ssList(app(sK48_skl,X0))|segmentP(app(app(nil,sK48_skl),X0),sK48_skl)|~ssList(X0)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f676,plain,(
% 0.14/0.53 sQ23_spl|~sQ11_spl|~sQ16_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f660,f673,f546,f578])).
% 0.14/0.53 fof(f677,definition,(
% 0.14/0.53 ![X0]: (sQ24_spl <=> (~ssList(app(sK51_skl,X0))|segmentP(app(app(nil,sK51_skl),X0),sK51_skl)|~ssList(X0)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f680,plain,(
% 0.14/0.53 sQ24_spl|~sQ8_spl|~sQ16_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f661,f677,f521,f578])).
% 0.14/0.53 fof(f681,definition,(
% 0.14/0.53 ![X0]: (sQ25_spl <=> (~ssList(app(sK52_skl,X0))|segmentP(app(app(nil,sK52_skl),X0),sK52_skl)|~ssList(X0)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f684,plain,(
% 0.14/0.53 sQ25_spl|~sQ9_spl|~sQ16_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f662,f681,f524,f578])).
% 0.14/0.53 fof(f685,definition,(
% 0.14/0.53 ![X0]: (sQ26_spl <=> (~ssList(app(sK47_skl,X0))|segmentP(app(app(sK52_skl,sK51_skl),X0),sK51_skl)|~ssList(X0)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f688,plain,(
% 0.14/0.53 sQ26_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f663,f685,f521,f524])).
% 0.14/0.53 fof(f689,definition,(
% 0.14/0.53 ![X0]: (sQ27_spl <=> (~ssList(app(sK48_skl,X0))|segmentP(app(app(sK51_skl,sK52_skl),X0),sK52_skl)|~ssList(X0)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f692,plain,(
% 0.14/0.53 sQ27_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f664,f689,f524,f521])).
% 0.14/0.53 fof(f704,plain,(
% 0.14/0.53 ~ssList(sK52_skl)|~ssList(sK52_skl)|app(sK52_skl,sK5_skl(sK52_skl,sK52_skl))=sK52_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f654,f123])).
% 0.14/0.53 fof(f705,plain,(
% 0.14/0.53 ~ssList(sK52_skl)|~ssList(sK52_skl)|ssList(sK5_skl(sK52_skl,sK52_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f654,f122])).
% 0.14/0.53 fof(f706,definition,(
% 0.14/0.53 sQ28_spl <=> (app(sK52_skl,sK5_skl(sK52_skl,sK52_skl))=sK52_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f709,plain,(
% 0.14/0.53 ~sQ9_spl|sQ28_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f704,f524,f706])).
% 0.14/0.53 fof(f710,definition,(
% 0.14/0.53 sQ29_spl <=> (ssList(sK5_skl(sK52_skl,sK52_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f713,plain,(
% 0.14/0.53 ~sQ9_spl|sQ29_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f705,f524,f710])).
% 0.14/0.53 fof(f714,plain,(
% 0.14/0.53 ~ssList(sK51_skl)|~ssList(sK51_skl)|app(sK51_skl,sK5_skl(sK51_skl,sK51_skl))=sK51_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f655,f123])).
% 0.14/0.53 fof(f715,plain,(
% 0.14/0.53 ~ssList(sK51_skl)|~ssList(sK51_skl)|ssList(sK5_skl(sK51_skl,sK51_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f655,f122])).
% 0.14/0.53 fof(f716,definition,(
% 0.14/0.53 sQ30_spl <=> (app(sK51_skl,sK5_skl(sK51_skl,sK51_skl))=sK51_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f719,plain,(
% 0.14/0.53 ~sQ8_spl|sQ30_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f714,f521,f716])).
% 0.14/0.53 fof(f720,definition,(
% 0.14/0.53 sQ31_spl <=> (ssList(sK5_skl(sK51_skl,sK51_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f723,plain,(
% 0.14/0.53 ~sQ8_spl|sQ31_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f715,f521,f720])).
% 0.14/0.53 fof(f724,plain,(
% 0.14/0.53 ~ssList(sK48_skl)|~ssList(sK48_skl)|app(sK48_skl,sK5_skl(sK48_skl,sK48_skl))=sK48_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f656,f123])).
% 0.14/0.53 fof(f725,plain,(
% 0.14/0.53 ~ssList(sK48_skl)|~ssList(sK48_skl)|ssList(sK5_skl(sK48_skl,sK48_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f656,f122])).
% 0.14/0.53 fof(f726,definition,(
% 0.14/0.53 sQ32_spl <=> (app(sK48_skl,sK5_skl(sK48_skl,sK48_skl))=sK48_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f729,plain,(
% 0.14/0.53 ~sQ11_spl|sQ32_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f724,f546,f726])).
% 0.14/0.53 fof(f730,definition,(
% 0.14/0.53 sQ33_spl <=> (ssList(sK5_skl(sK48_skl,sK48_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f733,plain,(
% 0.14/0.53 ~sQ11_spl|sQ33_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f725,f546,f730])).
% 0.14/0.53 fof(f746,plain,(
% 0.14/0.53 ~ssList(nil)|~ssList(nil)|app(nil,sK5_skl(nil,nil))=nil),
% 0.14/0.53 inference(resolution,[status(thm)],[f653,f123])).
% 0.14/0.53 fof(f747,plain,(
% 0.14/0.53 ~ssList(nil)|~ssList(nil)|ssList(sK5_skl(nil,nil))),
% 0.14/0.53 inference(resolution,[status(thm)],[f653,f122])).
% 0.14/0.53 fof(f748,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(f751,plain,(
% 0.14/0.53 ~sQ16_spl|sQ34_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f746,f578,f748])).
% 0.14/0.53 fof(f752,definition,(
% 0.14/0.53 sQ35_spl <=> (ssList(sK5_skl(nil,nil)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f755,plain,(
% 0.14/0.53 ~sQ16_spl|sQ35_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f747,f578,f752])).
% 0.14/0.53 fof(f756,plain,(
% 0.14/0.53 ~ssList(sK47_skl)|~ssList(sK47_skl)|app(sK47_skl,sK5_skl(sK47_skl,sK47_skl))=sK47_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f657,f123])).
% 0.14/0.53 fof(f757,plain,(
% 0.14/0.53 ~ssList(sK47_skl)|~ssList(sK47_skl)|ssList(sK5_skl(sK47_skl,sK47_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f657,f122])).
% 0.14/0.53 fof(f758,definition,(
% 0.14/0.53 sQ36_spl <=> (app(sK47_skl,sK5_skl(sK47_skl,sK47_skl))=sK47_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f761,plain,(
% 0.14/0.53 ~sQ2_spl|sQ36_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f756,f495,f758])).
% 0.14/0.53 fof(f762,definition,(
% 0.14/0.53 sQ37_spl <=> (ssList(sK5_skl(sK47_skl,sK47_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f765,plain,(
% 0.14/0.53 ~sQ2_spl|sQ37_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f757,f495,f762])).
% 0.14/0.53 fof(f767,plain,(
% 0.14/0.53 rearsegP(nil,nil)),
% 0.14/0.53 inference(resolution,[status(thm)],[f305,f223])).
% 0.14/0.53 fof(f768,plain,(
% 0.14/0.53 rearsegP(sK52_skl,sK52_skl)),
% 0.14/0.53 inference(resolution,[status(thm)],[f305,f425])).
% 0.14/0.53 fof(f769,plain,(
% 0.14/0.53 rearsegP(sK51_skl,sK51_skl)),
% 0.14/0.53 inference(resolution,[status(thm)],[f305,f424])).
% 0.14/0.53 fof(f770,plain,(
% 0.14/0.53 rearsegP(sK48_skl,sK48_skl)),
% 0.14/0.53 inference(resolution,[status(thm)],[f305,f419])).
% 0.14/0.53 fof(f771,plain,(
% 0.14/0.53 rearsegP(sK47_skl,sK47_skl)),
% 0.14/0.53 inference(resolution,[status(thm)],[f305,f418])).
% 0.14/0.53 fof(f904,plain,(
% 0.14/0.53 ~ssList(nil)|~ssList(nil)|app(sK6_skl(nil,nil),nil)=nil),
% 0.14/0.53 inference(resolution,[status(thm)],[f767,f129])).
% 0.14/0.53 fof(f905,plain,(
% 0.14/0.53 ~ssList(nil)|~ssList(nil)|ssList(sK6_skl(nil,nil))),
% 0.14/0.53 inference(resolution,[status(thm)],[f767,f128])).
% 0.14/0.53 fof(f906,definition,(
% 0.14/0.53 sQ68_spl <=> (app(sK6_skl(nil,nil),nil)=nil)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f909,plain,(
% 0.14/0.53 ~sQ16_spl|sQ68_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f904,f578,f906])).
% 0.14/0.53 fof(f910,definition,(
% 0.14/0.53 sQ69_spl <=> (ssList(sK6_skl(nil,nil)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f913,plain,(
% 0.14/0.53 ~sQ16_spl|sQ69_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f905,f578,f910])).
% 0.14/0.53 fof(f914,plain,(
% 0.14/0.53 ~ssList(sK52_skl)|~ssList(sK52_skl)|app(sK6_skl(sK52_skl,sK52_skl),sK52_skl)=sK52_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f768,f129])).
% 0.14/0.53 fof(f915,plain,(
% 0.14/0.53 ~ssList(sK52_skl)|~ssList(sK52_skl)|ssList(sK6_skl(sK52_skl,sK52_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f768,f128])).
% 0.14/0.53 fof(f916,definition,(
% 0.14/0.53 sQ70_spl <=> (app(sK6_skl(sK52_skl,sK52_skl),sK52_skl)=sK52_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f919,plain,(
% 0.14/0.53 ~sQ9_spl|sQ70_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f914,f524,f916])).
% 0.14/0.53 fof(f920,definition,(
% 0.14/0.53 sQ71_spl <=> (ssList(sK6_skl(sK52_skl,sK52_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f923,plain,(
% 0.14/0.53 ~sQ9_spl|sQ71_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f915,f524,f920])).
% 0.14/0.53 fof(f1014,plain,(
% 0.14/0.53 ~ssList(sK51_skl)|~ssList(sK51_skl)|app(sK6_skl(sK51_skl,sK51_skl),sK51_skl)=sK51_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f769,f129])).
% 0.14/0.53 fof(f1015,plain,(
% 0.14/0.53 ~ssList(sK51_skl)|~ssList(sK51_skl)|ssList(sK6_skl(sK51_skl,sK51_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f769,f128])).
% 0.14/0.53 fof(f1016,definition,(
% 0.14/0.53 sQ90_spl <=> (app(sK6_skl(sK51_skl,sK51_skl),sK51_skl)=sK51_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1019,plain,(
% 0.14/0.53 ~sQ8_spl|sQ90_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1014,f521,f1016])).
% 0.14/0.53 fof(f1020,definition,(
% 0.14/0.53 sQ91_spl <=> (ssList(sK6_skl(sK51_skl,sK51_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1023,plain,(
% 0.14/0.53 ~sQ8_spl|sQ91_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1015,f521,f1020])).
% 0.14/0.53 fof(f1031,plain,(
% 0.14/0.53 ~ssList(sK48_skl)|~ssList(sK48_skl)|app(sK6_skl(sK48_skl,sK48_skl),sK48_skl)=sK48_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f770,f129])).
% 0.14/0.53 fof(f1032,plain,(
% 0.14/0.53 ~ssList(sK48_skl)|~ssList(sK48_skl)|ssList(sK6_skl(sK48_skl,sK48_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f770,f128])).
% 0.14/0.53 fof(f1033,definition,(
% 0.14/0.53 sQ92_spl <=> (app(sK6_skl(sK48_skl,sK48_skl),sK48_skl)=sK48_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1036,plain,(
% 0.14/0.53 ~sQ11_spl|sQ92_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1031,f546,f1033])).
% 0.14/0.53 fof(f1037,definition,(
% 0.14/0.53 sQ93_spl <=> (ssList(sK6_skl(sK48_skl,sK48_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1040,plain,(
% 0.14/0.53 ~sQ11_spl|sQ93_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1032,f546,f1037])).
% 0.14/0.53 fof(f1041,plain,(
% 0.14/0.53 ~ssList(sK47_skl)|~ssList(sK47_skl)|app(sK6_skl(sK47_skl,sK47_skl),sK47_skl)=sK47_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f771,f129])).
% 0.14/0.53 fof(f1042,plain,(
% 0.14/0.53 ~ssList(sK47_skl)|~ssList(sK47_skl)|ssList(sK6_skl(sK47_skl,sK47_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f771,f128])).
% 0.14/0.53 fof(f1043,definition,(
% 0.14/0.53 sQ94_spl <=> (app(sK6_skl(sK47_skl,sK47_skl),sK47_skl)=sK47_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1046,plain,(
% 0.14/0.53 ~sQ2_spl|sQ94_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1041,f495,f1043])).
% 0.14/0.53 fof(f1047,definition,(
% 0.14/0.53 sQ95_spl <=> (ssList(sK6_skl(sK47_skl,sK47_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1050,plain,(
% 0.14/0.53 ~sQ2_spl|sQ95_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1042,f495,f1047])).
% 0.14/0.53 fof(f1058,plain,(
% 0.14/0.53 segmentP(nil,nil)),
% 0.14/0.53 inference(resolution,[status(thm)],[f319,f223])).
% 0.14/0.53 fof(f1059,plain,(
% 0.14/0.53 segmentP(sK52_skl,sK52_skl)),
% 0.14/0.53 inference(resolution,[status(thm)],[f319,f425])).
% 0.14/0.53 fof(f1060,plain,(
% 0.14/0.53 segmentP(sK51_skl,sK51_skl)),
% 0.14/0.53 inference(resolution,[status(thm)],[f319,f424])).
% 0.14/0.53 fof(f1061,plain,(
% 0.14/0.53 segmentP(sK48_skl,sK48_skl)),
% 0.14/0.53 inference(resolution,[status(thm)],[f319,f419])).
% 0.14/0.53 fof(f1062,plain,(
% 0.14/0.53 segmentP(sK47_skl,sK47_skl)),
% 0.14/0.53 inference(resolution,[status(thm)],[f319,f418])).
% 0.14/0.53 fof(f1063,plain,(
% 0.14/0.53 ~ssList(nil)|~ssList(nil)|app(app(sK7_skl(nil,nil),nil),sK8_skl(nil,nil))=nil),
% 0.14/0.53 inference(resolution,[status(thm)],[f1058,f136])).
% 0.14/0.53 fof(f1064,plain,(
% 0.14/0.53 ~ssList(nil)|~ssList(nil)|ssList(sK8_skl(nil,nil))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1058,f135])).
% 0.14/0.53 fof(f1065,plain,(
% 0.14/0.53 ~ssList(nil)|~ssList(nil)|ssList(sK7_skl(nil,nil))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1058,f134])).
% 0.14/0.53 fof(f1066,definition,(
% 0.14/0.53 sQ96_spl <=> (app(app(sK7_skl(nil,nil),nil),sK8_skl(nil,nil))=nil)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1069,plain,(
% 0.14/0.53 ~sQ16_spl|sQ96_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1063,f578,f1066])).
% 0.14/0.53 fof(f1070,definition,(
% 0.14/0.53 sQ97_spl <=> (ssList(sK8_skl(nil,nil)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1073,plain,(
% 0.14/0.53 ~sQ16_spl|sQ97_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1064,f578,f1070])).
% 0.14/0.53 fof(f1074,definition,(
% 0.14/0.53 sQ98_spl <=> (ssList(sK7_skl(nil,nil)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1077,plain,(
% 0.14/0.53 ~sQ16_spl|sQ98_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1065,f578,f1074])).
% 0.14/0.53 fof(f1078,plain,(
% 0.14/0.53 ~ssList(sK52_skl)|~ssList(sK52_skl)|app(app(sK7_skl(sK52_skl,sK52_skl),sK52_skl),sK8_skl(sK52_skl,sK52_skl))=sK52_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f1059,f136])).
% 0.14/0.53 fof(f1079,plain,(
% 0.14/0.53 ~ssList(sK52_skl)|~ssList(sK52_skl)|ssList(sK8_skl(sK52_skl,sK52_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1059,f135])).
% 0.14/0.53 fof(f1080,plain,(
% 0.14/0.53 ~ssList(sK52_skl)|~ssList(sK52_skl)|ssList(sK7_skl(sK52_skl,sK52_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1059,f134])).
% 0.14/0.53 fof(f1081,definition,(
% 0.14/0.53 sQ99_spl <=> (app(app(sK7_skl(sK52_skl,sK52_skl),sK52_skl),sK8_skl(sK52_skl,sK52_skl))=sK52_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1084,plain,(
% 0.14/0.53 ~sQ9_spl|sQ99_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1078,f524,f1081])).
% 0.14/0.53 fof(f1085,definition,(
% 0.14/0.53 sQ100_spl <=> (ssList(sK8_skl(sK52_skl,sK52_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1088,plain,(
% 0.14/0.53 ~sQ9_spl|sQ100_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1079,f524,f1085])).
% 0.14/0.53 fof(f1089,definition,(
% 0.14/0.53 sQ101_spl <=> (ssList(sK7_skl(sK52_skl,sK52_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1092,plain,(
% 0.14/0.53 ~sQ9_spl|sQ101_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1080,f524,f1089])).
% 0.14/0.53 fof(f1183,plain,(
% 0.14/0.53 ~ssList(sK51_skl)|~ssList(sK51_skl)|app(app(sK7_skl(sK51_skl,sK51_skl),sK51_skl),sK8_skl(sK51_skl,sK51_skl))=sK51_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f1060,f136])).
% 0.14/0.53 fof(f1184,plain,(
% 0.14/0.53 ~ssList(sK51_skl)|~ssList(sK51_skl)|ssList(sK8_skl(sK51_skl,sK51_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1060,f135])).
% 0.14/0.53 fof(f1185,plain,(
% 0.14/0.53 ~ssList(sK51_skl)|~ssList(sK51_skl)|ssList(sK7_skl(sK51_skl,sK51_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1060,f134])).
% 0.14/0.53 fof(f1186,definition,(
% 0.14/0.53 sQ120_spl <=> (app(app(sK7_skl(sK51_skl,sK51_skl),sK51_skl),sK8_skl(sK51_skl,sK51_skl))=sK51_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1189,plain,(
% 0.14/0.53 ~sQ8_spl|sQ120_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1183,f521,f1186])).
% 0.14/0.53 fof(f1190,definition,(
% 0.14/0.53 sQ121_spl <=> (ssList(sK8_skl(sK51_skl,sK51_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1193,plain,(
% 0.14/0.53 ~sQ8_spl|sQ121_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1184,f521,f1190])).
% 0.14/0.53 fof(f1194,definition,(
% 0.14/0.53 sQ122_spl <=> (ssList(sK7_skl(sK51_skl,sK51_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1197,plain,(
% 0.14/0.53 ~sQ8_spl|sQ122_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1185,f521,f1194])).
% 0.14/0.53 fof(f1205,plain,(
% 0.14/0.53 ~ssList(sK48_skl)|~ssList(sK48_skl)|app(app(sK7_skl(sK48_skl,sK48_skl),sK48_skl),sK8_skl(sK48_skl,sK48_skl))=sK48_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f1061,f136])).
% 0.14/0.53 fof(f1206,plain,(
% 0.14/0.53 ~ssList(sK48_skl)|~ssList(sK48_skl)|ssList(sK8_skl(sK48_skl,sK48_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1061,f135])).
% 0.14/0.53 fof(f1207,plain,(
% 0.14/0.53 ~ssList(sK48_skl)|~ssList(sK48_skl)|ssList(sK7_skl(sK48_skl,sK48_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1061,f134])).
% 0.14/0.53 fof(f1208,definition,(
% 0.14/0.53 sQ123_spl <=> (app(app(sK7_skl(sK48_skl,sK48_skl),sK48_skl),sK8_skl(sK48_skl,sK48_skl))=sK48_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1211,plain,(
% 0.14/0.53 ~sQ11_spl|sQ123_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1205,f546,f1208])).
% 0.14/0.53 fof(f1212,definition,(
% 0.14/0.53 sQ124_spl <=> (ssList(sK8_skl(sK48_skl,sK48_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1215,plain,(
% 0.14/0.53 ~sQ11_spl|sQ124_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1206,f546,f1212])).
% 0.14/0.53 fof(f1216,definition,(
% 0.14/0.53 sQ125_spl <=> (ssList(sK7_skl(sK48_skl,sK48_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1219,plain,(
% 0.14/0.53 ~sQ11_spl|sQ125_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1207,f546,f1216])).
% 0.14/0.53 fof(f1220,plain,(
% 0.14/0.53 ~ssList(sK47_skl)|~ssList(sK47_skl)|app(app(sK7_skl(sK47_skl,sK47_skl),sK47_skl),sK8_skl(sK47_skl,sK47_skl))=sK47_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f1062,f136])).
% 0.14/0.53 fof(f1221,plain,(
% 0.14/0.53 ~ssList(sK47_skl)|~ssList(sK47_skl)|ssList(sK8_skl(sK47_skl,sK47_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1062,f135])).
% 0.14/0.53 fof(f1222,plain,(
% 0.14/0.53 ~ssList(sK47_skl)|~ssList(sK47_skl)|ssList(sK7_skl(sK47_skl,sK47_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1062,f134])).
% 0.14/0.53 fof(f1223,definition,(
% 0.14/0.53 sQ126_spl <=> (app(app(sK7_skl(sK47_skl,sK47_skl),sK47_skl),sK8_skl(sK47_skl,sK47_skl))=sK47_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1226,plain,(
% 0.14/0.53 ~sQ2_spl|sQ126_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1220,f495,f1223])).
% 0.14/0.53 fof(f1227,definition,(
% 0.14/0.53 sQ127_spl <=> (ssList(sK8_skl(sK47_skl,sK47_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1230,plain,(
% 0.14/0.53 ~sQ2_spl|sQ127_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1221,f495,f1227])).
% 0.14/0.53 fof(f1231,definition,(
% 0.14/0.53 sQ128_spl <=> (ssList(sK7_skl(sK47_skl,sK47_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1234,plain,(
% 0.14/0.53 ~sQ2_spl|sQ128_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1222,f495,f1231])).
% 0.14/0.53 fof(f1547,plain,(
% 0.14/0.53 neq(sK53_skl,sK53_skl)|sK53_skl=sK53_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f490,f428])).
% 0.14/0.53 fof(f1550,definition,(
% 0.14/0.53 sQ182_spl <=> (neq(sK53_skl,sK53_skl))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1551,plain,(
% 0.14/0.53 neq(sK53_skl,sK53_skl)|~sQ182_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f1550])).
% 0.14/0.53 fof(f1553,definition,(
% 0.14/0.53 sQ183_spl <=> (sK53_skl=sK53_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1556,plain,(
% 0.14/0.53 sQ182_spl|sQ183_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1547,f1550,f1553])).
% 0.14/0.53 fof(f1589,plain,(
% 0.14/0.53 ~ssItem(sK53_skl)|~sQ182_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f1551,f440])).
% 0.14/0.53 fof(f1590,plain,(
% 0.14/0.53 ~sQ3_spl|~sQ182_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1589,f498,f1550])).
% 0.14/0.53 fof(f1977,plain,(
% 0.14/0.53 frontsegP(sK52_skl,nil)),
% 0.14/0.53 inference(resolution,[status(thm)],[f295,f425])).
% 0.14/0.53 fof(f1978,plain,(
% 0.14/0.53 frontsegP(sK51_skl,nil)),
% 0.14/0.53 inference(resolution,[status(thm)],[f295,f424])).
% 0.14/0.53 fof(f1979,plain,(
% 0.14/0.53 frontsegP(sK48_skl,nil)),
% 0.14/0.53 inference(resolution,[status(thm)],[f295,f419])).
% 0.14/0.53 fof(f1980,plain,(
% 0.14/0.53 frontsegP(sK47_skl,nil)),
% 0.14/0.53 inference(resolution,[status(thm)],[f295,f418])).
% 0.14/0.53 fof(f1981,plain,(
% 0.14/0.53 ~ssList(sK52_skl)|~ssList(nil)|app(nil,sK5_skl(nil,sK52_skl))=sK52_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f1977,f123])).
% 0.14/0.53 fof(f1982,plain,(
% 0.14/0.53 ~ssList(sK52_skl)|~ssList(nil)|ssList(sK5_skl(nil,sK52_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1977,f122])).
% 0.14/0.53 fof(f1983,definition,(
% 0.14/0.53 sQ253_spl <=> (app(nil,sK5_skl(nil,sK52_skl))=sK52_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1986,plain,(
% 0.14/0.53 ~sQ9_spl|~sQ16_spl|sQ253_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1981,f524,f578,f1983])).
% 0.14/0.53 fof(f1987,definition,(
% 0.14/0.53 sQ254_spl <=> (ssList(sK5_skl(nil,sK52_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1990,plain,(
% 0.14/0.53 ~sQ9_spl|~sQ16_spl|sQ254_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1982,f524,f578,f1987])).
% 0.14/0.53 fof(f1991,plain,(
% 0.14/0.53 ~ssList(sK51_skl)|~ssList(nil)|app(nil,sK5_skl(nil,sK51_skl))=sK51_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f1978,f123])).
% 0.14/0.53 fof(f1992,plain,(
% 0.14/0.53 ~ssList(sK51_skl)|~ssList(nil)|ssList(sK5_skl(nil,sK51_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1978,f122])).
% 0.14/0.53 fof(f1993,definition,(
% 0.14/0.53 sQ255_spl <=> (app(nil,sK5_skl(nil,sK51_skl))=sK51_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f1996,plain,(
% 0.14/0.53 ~sQ8_spl|~sQ16_spl|sQ255_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1991,f521,f578,f1993])).
% 0.14/0.53 fof(f1997,definition,(
% 0.14/0.53 sQ256_spl <=> (ssList(sK5_skl(nil,sK51_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f2000,plain,(
% 0.14/0.53 ~sQ8_spl|~sQ16_spl|sQ256_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1992,f521,f578,f1997])).
% 0.14/0.53 fof(f2136,plain,(
% 0.14/0.53 ~ssItem(sK53_skl)|memberP(sK51_skl,sK53_skl)|memberP(sK52_skl,sK53_skl)|~sQ7_spl|~sQ0_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f519,f432])).
% 0.14/0.53 fof(f2137,definition,(
% 0.14/0.53 sQ288_spl <=> (memberP(sK51_skl,sK53_skl))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f2138,plain,(
% 0.14/0.53 memberP(sK51_skl,sK53_skl)|~sQ288_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f2137])).
% 0.14/0.53 fof(f2140,definition,(
% 0.14/0.53 sQ289_spl <=> (memberP(sK52_skl,sK53_skl))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f2141,plain,(
% 0.14/0.53 memberP(sK52_skl,sK53_skl)|~sQ289_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f2140])).
% 0.14/0.53 fof(f2143,plain,(
% 0.14/0.53 ~sQ3_spl|sQ288_spl|sQ289_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f2136,f498,f2137,f2140,f518,f431])).
% 0.14/0.53 fof(f2144,plain,(
% 0.14/0.53 ~ssList(sK48_skl)|~ssList(nil)|app(nil,sK5_skl(nil,sK48_skl))=sK48_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f1979,f123])).
% 0.14/0.53 fof(f2145,plain,(
% 0.14/0.53 ~ssList(sK48_skl)|~ssList(nil)|ssList(sK5_skl(nil,sK48_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1979,f122])).
% 0.14/0.53 fof(f2146,definition,(
% 0.14/0.53 sQ290_spl <=> (app(nil,sK5_skl(nil,sK48_skl))=sK48_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f2149,plain,(
% 0.14/0.53 ~sQ11_spl|~sQ16_spl|sQ290_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f2144,f546,f578,f2146])).
% 0.14/0.53 fof(f2150,definition,(
% 0.14/0.53 sQ291_spl <=> (ssList(sK5_skl(nil,sK48_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f2153,plain,(
% 0.14/0.53 ~sQ11_spl|~sQ16_spl|sQ291_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f2145,f546,f578,f2150])).
% 0.14/0.53 fof(f2154,plain,(
% 0.14/0.53 ~ssList(sK47_skl)|~ssList(nil)|app(nil,sK5_skl(nil,sK47_skl))=sK47_skl),
% 0.14/0.53 inference(resolution,[status(thm)],[f1980,f123])).
% 0.14/0.53 fof(f2155,plain,(
% 0.14/0.53 ~ssList(sK47_skl)|~ssList(nil)|ssList(sK5_skl(nil,sK47_skl))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1980,f122])).
% 0.14/0.53 fof(f2156,definition,(
% 0.14/0.53 sQ292_spl <=> (app(nil,sK5_skl(nil,sK47_skl))=sK47_skl)),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f2159,plain,(
% 0.14/0.53 ~sQ2_spl|~sQ16_spl|sQ292_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f2154,f495,f578,f2156])).
% 0.14/0.53 fof(f2160,definition,(
% 0.14/0.53 sQ293_spl <=> (ssList(sK5_skl(nil,sK47_skl)))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f2163,plain,(
% 0.14/0.53 ~sQ2_spl|~sQ16_spl|sQ293_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f2155,f495,f578,f2160])).
% 0.14/0.53 fof(f2317,plain,(
% 0.14/0.53 ~ssItem(sK53_skl)|~ssList(sK51_skl)|memberP(app(sK51_skl,sK52_skl),sK53_skl)|~sQ288_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f2138,f531])).
% 0.14/0.53 fof(f2334,definition,(
% 0.14/0.53 sQ327_spl <=> (memberP(app(sK51_skl,sK52_skl),sK53_skl))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f2335,plain,(
% 0.14/0.53 memberP(app(sK51_skl,sK52_skl),sK53_skl)|~sQ327_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f2334])).
% 0.14/0.53 fof(f2337,plain,(
% 0.14/0.53 ~sQ3_spl|~sQ8_spl|sQ327_spl|~sQ288_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f2317,f498,f521,f2334,f2137])).
% 0.14/0.53 fof(f2354,plain,(
% 0.14/0.53 memberP(sK48_skl,sK53_skl)|~sQ327_spl),
% 0.14/0.53 inference(forward_demodulation,[status(thm)],[f491,f2335])).
% 0.14/0.53 fof(f2682,plain,(
% 0.14/0.53 ~ssItem(sK53_skl)|~ssList(sK51_skl)|memberP(app(sK52_skl,sK51_skl),sK53_skl)|~sQ288_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f564,f2138])).
% 0.14/0.53 fof(f2684,definition,(
% 0.14/0.53 sQ389_spl <=> (memberP(app(sK52_skl,sK51_skl),sK53_skl))),
% 0.14/0.53 introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition])).
% 0.14/0.53 fof(f2685,plain,(
% 0.14/0.53 memberP(app(sK52_skl,sK51_skl),sK53_skl)|~sQ389_spl),
% 0.14/0.53 inference(component_clause,[status(thm)],[f2684])).
% 0.14/0.53 fof(f2687,plain,(
% 0.14/0.53 ~sQ3_spl|~sQ8_spl|sQ389_spl|~sQ288_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f2682,f498,f521,f2684,f2137])).
% 0.14/0.53 fof(f2692,plain,(
% 0.14/0.53 memberP(sK47_skl,sK53_skl)|~sQ389_spl),
% 0.14/0.53 inference(forward_demodulation,[status(thm)],[f535,f2685])).
% 0.14/0.53 fof(f2693,plain,(
% 0.14/0.53 $false|sQ1_spl|~sQ389_spl),
% 0.14/0.53 inference(forward_subsumption_resolution,[status(thm)],[f2692,f436])).
% 0.14/0.53 fof(f2694,plain,(
% 0.14/0.53 sQ1_spl|~sQ389_spl),
% 0.14/0.53 inference(contradiction_clause,[status(thm)],[f2693])).
% 0.14/0.53 fof(f2700,plain,(
% 0.14/0.53 ~ssItem(sK53_skl)|~ssList(sK52_skl)|memberP(app(sK52_skl,sK51_skl),sK53_skl)|~sQ289_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f2141,f532])).
% 0.14/0.53 fof(f2719,plain,(
% 0.14/0.53 ~sQ3_spl|~sQ9_spl|sQ389_spl|~sQ289_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f2700,f498,f524,f2684,f2140])).
% 0.14/0.53 fof(f2811,plain,(
% 0.14/0.53 ~ssItem(sK53_skl)|memberP(sK52_skl,sK53_skl)|memberP(sK51_skl,sK53_skl)|~sQ1_spl|~sQ10_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f435,f538])).
% 0.14/0.53 fof(f2822,plain,(
% 0.14/0.53 ~sQ3_spl|sQ289_spl|sQ288_spl|~sQ1_spl|~sQ10_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f2811,f498,f2140,f2137,f434,f537])).
% 0.14/0.53 fof(f2852,plain,(
% 0.14/0.53 sQ0_spl|~sQ327_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f2354,f431,f2334])).
% 0.14/0.53 fof(f2880,plain,(
% 0.14/0.53 ~ssItem(sK53_skl)|~ssList(sK52_skl)|memberP(app(sK51_skl,sK52_skl),sK53_skl)|~sQ289_spl),
% 0.14/0.53 inference(resolution,[status(thm)],[f2141,f565])).
% 0.14/0.53 fof(f2892,plain,(
% 0.14/0.53 ~sQ3_spl|~sQ9_spl|sQ327_spl|~sQ289_spl),
% 0.14/0.53 inference(split_clause,[status(thm)],[f2880,f498,f524,f2334,f2140])).
% 0.14/0.53 fof(f2903,plain,(
% 0.14/0.53 $false),
% 0.14/0.53 inference(sat_refutation,[status(thm)],[f437,f438,f514,f516,f527,f529,f540,f542,f562,f581,f592,f594,f599,f619,f630,f668,f672,f676,f680,f684,f688,f692,f709,f713,f719,f723,f729,f733,f751,f755,f761,f765,f909,f913,f919,f923,f1019,f1023,f1036,f1040,f1046,f1050,f1069,f1073,f1077,f1084,f1088,f1092,f1189,f1193,f1197,f1211,f1215,f1219,f1226,f1230,f1234,f1556,f1590,f1986,f1990,f1996,f2000,f2143,f2149,f2153,f2159,f2163,f2337,f2687,f2694,f2719,f2822,f2852,f2892])).
% 0.14/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.54 % Elapsed time: 0.164337 seconds
% 0.14/0.54 % CPU time: 0.984490 seconds
% 0.14/0.54 % Total memory used: 125.738 MB
% 0.14/0.54 % Net memory used: 124.339 MB
%------------------------------------------------------------------------------