%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC105+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 02:41:36 PM UTC 2026
% Result : Theorem 0.14s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC105+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 07:58:46 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f5,axiom,(
% 0.14/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f6,axiom,(
% 0.14/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( rearsegP(U,V)<=> (? [W] :( ssList(W)& app(W,V) = U ) )) ) )) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f7,axiom,(
% 0.14/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f15,axiom,(
% 0.14/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f17,axiom,(
% 0.14/0.41 ssList(nil) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f42,axiom,(
% 0.14/0.41 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f47,axiom,(
% 0.14/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( rearsegP(U,V)& rearsegP(V,W) )=> rearsegP(U,W) ) ) )) )) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f48,axiom,(
% 0.14/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( rearsegP(U,V)& rearsegP(V,U) )=> U = V ) ) )) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f49,axiom,(
% 0.14/0.41 (! [U] :( ssList(U)=> rearsegP(U,U) ) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f52,axiom,(
% 0.14/0.41 (! [U] :( ssList(U)=> ( rearsegP(nil,U)<=> nil = U ) ) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f55,axiom,(
% 0.14/0.41 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f96,conjecture,(
% 0.14/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| ( neq(U,nil)& rearsegP(V,U) ) ) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f97,negated_conjecture,(
% 0.14/0.41 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| ( neq(U,nil)& rearsegP(V,U) ) ) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) ))),
% 0.14/0.41 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.41 fof(f119,plain,(
% 0.14/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/0.41 fof(f120,plain,(
% 0.14/0.41 ![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)))))))),
% 0.14/0.41 inference(NNF_transformation,[status(thm)],[f119])).
% 0.14/0.41 fof(f121,plain,(
% 0.14/0.41 ![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)))))))),
% 0.14/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(W,sK5_skl(V,U))],[f120])).
% 0.14/0.41 fof(f122,plain,(
% 0.14/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sK5_skl(X1,X0)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f121])).
% 0.14/0.41 fof(f123,plain,(
% 0.14/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sK5_skl(X1,X0))=X0)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f121])).
% 0.14/0.41 fof(f125,plain,(
% 0.14/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(rearsegP(U,V)<=>(?[W]: (ssList(W)&app(W,V)=U))))))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.14/0.41 fof(f126,plain,(
% 0.14/0.41 ![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)))))))),
% 0.14/0.41 inference(NNF_transformation,[status(thm)],[f125])).
% 0.14/0.41 fof(f127,plain,(
% 0.14/0.41 ![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)))))))),
% 0.14/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(W,sK6_skl(V,U))],[f126])).
% 0.14/0.41 fof(f128,plain,(
% 0.14/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|ssList(sK6_skl(X1,X0)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f127])).
% 0.14/0.41 fof(f129,plain,(
% 0.14/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|app(sK6_skl(X1,X0),X1)=X0)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f127])).
% 0.14/0.41 fof(f131,plain,(
% 0.14/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.14/0.41 fof(f132,plain,(
% 0.14/0.41 ![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)))))))))),
% 0.14/0.41 inference(NNF_transformation,[status(thm)],[f131])).
% 0.14/0.41 fof(f133,plain,(
% 0.14/0.41 ![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)))))))))),
% 0.14/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 0.14/0.41 fof(f134,plain,(
% 0.14/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|ssList(sK7_skl(X1,X0)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f133])).
% 0.14/0.41 fof(f135,plain,(
% 0.14/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|ssList(sK8_skl(X1,X0)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f133])).
% 0.14/0.41 fof(f136,plain,(
% 0.14/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|app(app(sK7_skl(X1,X0),X1),sK8_skl(X1,X0))=X0)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f133])).
% 0.14/0.41 fof(f217,plain,(
% 0.14/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.14/0.41 fof(f218,plain,(
% 0.14/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.14/0.41 inference(NNF_transformation,[status(thm)],[f217])).
% 0.14/0.41 fof(f219,plain,(
% 0.14/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f218])).
% 0.14/0.41 fof(f223,plain,(
% 0.14/0.41 ssList(nil)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.41 fof(f285,plain,(
% 0.14/0.41 ![U]: (~ssList(U)|frontsegP(U,U))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.14/0.41 fof(f286,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f285])).
% 0.14/0.41 fof(f300,plain,(
% 0.14/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~rearsegP(U,V)|~rearsegP(V,W))|rearsegP(U,W)))))))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.14/0.41 fof(f301,plain,(
% 0.14/0.41 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~rearsegP(X0,X1)|~rearsegP(X1,X2)|rearsegP(X0,X2))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f300])).
% 0.14/0.41 fof(f302,plain,(
% 0.14/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|~rearsegP(V,U))|U=V))))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f48])).
% 0.14/0.41 fof(f303,plain,(
% 0.14/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|~rearsegP(X1,X0)|X0=X1)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f302])).
% 0.14/0.41 fof(f304,plain,(
% 0.14/0.41 ![U]: (~ssList(U)|rearsegP(U,U))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.14/0.41 fof(f305,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f304])).
% 0.14/0.41 fof(f310,plain,(
% 0.14/0.41 ![U]: (~ssList(U)|(rearsegP(nil,U)<=>nil=U))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 0.14/0.41 fof(f311,plain,(
% 0.14/0.41 ![U]: (~ssList(U)|((~rearsegP(nil,U)|nil=U)&(rearsegP(nil,U)|~nil=U)))),
% 0.14/0.41 inference(NNF_transformation,[status(thm)],[f310])).
% 0.14/0.41 fof(f312,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~rearsegP(nil,X0)|nil=X0)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f311])).
% 0.14/0.41 fof(f318,plain,(
% 0.14/0.41 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 0.14/0.41 fof(f319,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f318])).
% 0.14/0.41 fof(f415,plain,(
% 0.14/0.41 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&((nil=V&~nil=U)|(neq(V,nil)&(~neq(U,nil)|~rearsegP(V,U)))))&((nil=X&nil=W)|(neq(W,nil)&rearsegP(X,W))))))))))))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.14/0.41 fof(f416,definition,(
% 0.14/0.41 ![U,V]: (sP0_prd(V,U)<=>(nil=V&~nil=U))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/0.41 fof(f417,definition,(
% 0.14/0.41 ![W,X]: (sP1_prd(X,W)<=>(nil=X&nil=W))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.14/0.41 fof(f418,plain,(
% 0.14/0.41 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(sP0_prd(V,U)|(neq(V,nil)&(~neq(U,nil)|~rearsegP(V,U)))))&(sP1_prd(X,W)|(neq(W,nil)&rearsegP(X,W)))))))))))),
% 0.14/0.41 inference(formula_renaming,[status(thm)],[f415,f417,f416])).
% 0.14/0.41 fof(f419,plain,(
% 0.14/0.41 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(sP0_prd(sK48_skl,sK47_skl)|(neq(sK48_skl,nil)&(~neq(sK47_skl,nil)|~rearsegP(sK48_skl,sK47_skl)))))&(sP1_prd(sK50_skl,sK49_skl)|(neq(sK49_skl,nil)&rearsegP(sK50_skl,sK49_skl))))))))),
% 0.14/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl)],[f418])).
% 0.14/0.41 fof(f422,plain,(
% 0.14/0.41 ssList(sK49_skl)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.41 fof(f423,plain,(
% 0.14/0.41 ssList(sK50_skl)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.41 fof(f424,plain,(
% 0.14/0.41 sK48_skl=sK50_skl),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.41 fof(f425,plain,(
% 0.14/0.41 sK47_skl=sK49_skl),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.41 fof(f426,plain,(
% 0.14/0.41 sP0_prd(sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.41 fof(f427,plain,(
% 0.14/0.41 sP0_prd(sK48_skl,sK47_skl)|~neq(sK47_skl,nil)|~rearsegP(sK48_skl,sK47_skl)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.41 fof(f428,plain,(
% 0.14/0.41 sP1_prd(sK50_skl,sK49_skl)|neq(sK49_skl,nil)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.41 fof(f429,plain,(
% 0.14/0.41 sP1_prd(sK50_skl,sK49_skl)|rearsegP(sK50_skl,sK49_skl)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.41 fof(f430,plain,(
% 0.14/0.41 ![U,V]: ((~sP0_prd(V,U)|(nil=V&~nil=U))&(sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.14/0.41 inference(NNF_transformation,[status(thm)],[f416])).
% 0.14/0.41 fof(f431,plain,(
% 0.14/0.41 (![U,V]: (~sP0_prd(V,U)|(nil=V&~nil=U)))&(![U,V]: (sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f430])).
% 0.14/0.41 fof(f432,plain,(
% 0.14/0.41 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f431])).
% 0.14/0.41 fof(f433,plain,(
% 0.14/0.41 ![X0,X1]: (~sP0_prd(X0,X1)|~nil=X1)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f431])).
% 0.14/0.41 fof(f435,plain,(
% 0.14/0.41 ![W,X]: ((~sP1_prd(X,W)|(nil=X&nil=W))&(sP1_prd(X,W)|(~nil=X|~nil=W)))),
% 0.14/0.41 inference(NNF_transformation,[status(thm)],[f417])).
% 0.14/0.41 fof(f436,plain,(
% 0.14/0.41 (![W,X]: (~sP1_prd(X,W)|(nil=X&nil=W)))&(![W,X]: (sP1_prd(X,W)|(~nil=X|~nil=W)))),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f435])).
% 0.14/0.41 fof(f437,plain,(
% 0.14/0.41 ![X0,X1]: (~sP1_prd(X0,X1)|nil=X0)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f436])).
% 0.14/0.41 fof(f438,plain,(
% 0.14/0.41 ![X0,X1]: (~sP1_prd(X0,X1)|nil=X1)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f436])).
% 0.14/0.41 fof(f439,plain,(
% 0.14/0.41 ![X0,X1]: (sP1_prd(X0,X1)|~nil=X0|~nil=X1)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f436])).
% 0.14/0.41 fof(f440,definition,(
% 0.14/0.41 sQ0_spl <=> (sP0_prd(sK48_skl,sK47_skl))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f441,plain,(
% 0.14/0.41 sP0_prd(sK48_skl,sK47_skl)|~sQ0_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f440])).
% 0.14/0.41 fof(f443,definition,(
% 0.14/0.41 sQ1_spl <=> (neq(sK48_skl,nil))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f444,plain,(
% 0.14/0.41 neq(sK48_skl,nil)|~sQ1_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f443])).
% 0.14/0.41 fof(f446,plain,(
% 0.14/0.41 sQ0_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f426,f440,f443])).
% 0.14/0.41 fof(f447,definition,(
% 0.14/0.41 sQ2_spl <=> (neq(sK47_skl,nil))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f449,plain,(
% 0.14/0.41 ~neq(sK47_skl,nil)|sQ2_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f447])).
% 0.14/0.41 fof(f450,definition,(
% 0.14/0.41 sQ3_spl <=> (rearsegP(sK48_skl,sK47_skl))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f452,plain,(
% 0.14/0.41 ~rearsegP(sK48_skl,sK47_skl)|sQ3_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f450])).
% 0.14/0.41 fof(f453,plain,(
% 0.14/0.41 sQ0_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f427,f440,f447,f450])).
% 0.14/0.41 fof(f454,definition,(
% 0.14/0.41 sQ4_spl <=> (sP1_prd(sK50_skl,sK49_skl))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f455,plain,(
% 0.14/0.41 sP1_prd(sK50_skl,sK49_skl)|~sQ4_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f454])).
% 0.14/0.41 fof(f456,plain,(
% 0.14/0.41 ~sP1_prd(sK50_skl,sK49_skl)|sQ4_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f454])).
% 0.14/0.41 fof(f457,definition,(
% 0.14/0.41 sQ5_spl <=> (neq(sK49_skl,nil))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f458,plain,(
% 0.14/0.41 neq(sK49_skl,nil)|~sQ5_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f457])).
% 0.14/0.41 fof(f460,plain,(
% 0.14/0.41 sQ4_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f428,f454,f457])).
% 0.14/0.41 fof(f461,definition,(
% 0.14/0.41 sQ6_spl <=> (rearsegP(sK50_skl,sK49_skl))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f462,plain,(
% 0.14/0.41 rearsegP(sK50_skl,sK49_skl)|~sQ6_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f461])).
% 0.14/0.41 fof(f464,plain,(
% 0.14/0.41 sQ4_spl|sQ6_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f429,f454,f461])).
% 0.14/0.41 fof(f480,plain,(
% 0.14/0.41 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.14/0.41 inference(destructive_equality_resolution,[status(thm)],[f219])).
% 0.14/0.41 fof(f481,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.14/0.41 inference(duplicate_literals_removal,[status(thm)],[f480])).
% 0.14/0.41 fof(f495,plain,(
% 0.14/0.41 ![X0]: (~sP0_prd(X0,nil))),
% 0.14/0.41 inference(destructive_equality_resolution,[status(thm)],[f433])).
% 0.14/0.41 fof(f497,plain,(
% 0.14/0.41 sP1_prd(nil,nil)),
% 0.14/0.41 inference(destructive_equality_resolution,[status(thm)],[f439])).
% 0.14/0.41 fof(f500,plain,(
% 0.14/0.41 sP0_prd(sK50_skl,sK47_skl)|~sQ0_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f424,f441])).
% 0.14/0.41 fof(f501,plain,(
% 0.14/0.41 sP0_prd(sK50_skl,sK49_skl)|~sQ0_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f425,f500])).
% 0.14/0.41 fof(f503,plain,(
% 0.14/0.41 rearsegP(sK50_skl,sK50_skl)),
% 0.14/0.41 inference(resolution,[status(thm)],[f305,f423])).
% 0.14/0.41 fof(f504,plain,(
% 0.14/0.41 rearsegP(sK49_skl,sK49_skl)),
% 0.14/0.41 inference(resolution,[status(thm)],[f305,f422])).
% 0.14/0.41 fof(f509,plain,(
% 0.14/0.41 nil=sK50_skl|~sQ0_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f432,f501])).
% 0.14/0.41 fof(f520,plain,(
% 0.14/0.41 sP1_prd(nil,sK50_skl)|~sQ0_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f509,f497])).
% 0.14/0.41 fof(f521,plain,(
% 0.14/0.41 ![X0]: (~sP0_prd(X0,sK50_skl)|~sQ0_spl)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f509,f495])).
% 0.14/0.41 fof(f524,plain,(
% 0.14/0.41 sP1_prd(sK50_skl,sK50_skl)|~sQ0_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f509,f520])).
% 0.14/0.41 fof(f531,plain,(
% 0.14/0.41 ![X0,X1]: (~sP1_prd(X0,X1)|sK50_skl=X1|~sQ0_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f509,f438])).
% 0.14/0.41 fof(f533,plain,(
% 0.14/0.41 sK50_skl=sK49_skl|~sQ0_spl|~sQ4_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f531,f455])).
% 0.14/0.41 fof(f535,plain,(
% 0.14/0.41 sP0_prd(sK50_skl,sK50_skl)|~sQ4_spl|~sQ0_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f533,f501])).
% 0.14/0.41 fof(f540,plain,(
% 0.14/0.41 $false|~sQ4_spl|~sQ0_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f535,f521])).
% 0.14/0.41 fof(f541,plain,(
% 0.14/0.41 ~sQ4_spl|~sQ0_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f540])).
% 0.14/0.41 fof(f544,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~ssList(sK50_skl)|~ssList(sK50_skl)|~rearsegP(X0,sK50_skl)|rearsegP(X0,sK50_skl))),
% 0.14/0.41 inference(resolution,[status(thm)],[f301,f503])).
% 0.14/0.41 fof(f547,definition,(
% 0.14/0.41 ![X0]: (sQ7_spl <=> (~ssList(X0)|~rearsegP(X0,sK50_skl)|rearsegP(X0,sK50_skl)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f550,definition,(
% 0.14/0.41 sQ8_spl <=> (ssList(sK50_skl))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f552,plain,(
% 0.14/0.41 ~ssList(sK50_skl)|sQ8_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f550])).
% 0.14/0.41 fof(f553,plain,(
% 0.14/0.41 sQ7_spl|~sQ8_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f544,f547,f550])).
% 0.14/0.41 fof(f556,plain,(
% 0.14/0.41 neq(sK50_skl,nil)|~sQ1_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f424,f444])).
% 0.14/0.41 fof(f561,plain,(
% 0.14/0.41 rearsegP(nil,nil)),
% 0.14/0.41 inference(resolution,[status(thm)],[f223,f305])).
% 0.14/0.41 fof(f562,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~ssList(sK49_skl)|~ssList(sK49_skl)|~rearsegP(X0,sK49_skl)|rearsegP(X0,sK49_skl))),
% 0.14/0.41 inference(resolution,[status(thm)],[f504,f301])).
% 0.14/0.41 fof(f563,definition,(
% 0.14/0.41 ![X0]: (sQ9_spl <=> (~ssList(X0)|~rearsegP(X0,sK49_skl)|rearsegP(X0,sK49_skl)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f566,definition,(
% 0.14/0.41 sQ10_spl <=> (ssList(sK49_skl))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f568,plain,(
% 0.14/0.41 ~ssList(sK49_skl)|sQ10_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f566])).
% 0.14/0.41 fof(f569,plain,(
% 0.14/0.41 sQ9_spl|~sQ10_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f562,f563,f566])).
% 0.14/0.41 fof(f570,plain,(
% 0.14/0.41 ~neq(sK49_skl,nil)|sQ2_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f425,f449])).
% 0.14/0.41 fof(f612,plain,(
% 0.14/0.41 nil=sK49_skl|~sQ4_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f438,f455])).
% 0.14/0.41 fof(f617,plain,(
% 0.14/0.41 neq(sK50_skl,sK49_skl)|~sQ4_spl|~sQ1_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f612,f556])).
% 0.14/0.41 fof(f631,plain,(
% 0.14/0.41 ~ssList(sK49_skl)|~ssList(sK49_skl)|~rearsegP(sK49_skl,sK49_skl)|sK49_skl=sK49_skl),
% 0.14/0.41 inference(resolution,[status(thm)],[f303,f504])).
% 0.14/0.41 fof(f632,plain,(
% 0.14/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|~rearsegP(sK50_skl,sK50_skl)|sK50_skl=sK50_skl),
% 0.14/0.41 inference(resolution,[status(thm)],[f303,f503])).
% 0.14/0.41 fof(f634,definition,(
% 0.14/0.41 sQ20_spl <=> (rearsegP(sK49_skl,sK49_skl))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f636,plain,(
% 0.14/0.41 ~rearsegP(sK49_skl,sK49_skl)|sQ20_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f634])).
% 0.14/0.41 fof(f637,definition,(
% 0.14/0.41 sQ21_spl <=> (sK49_skl=sK49_skl)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f640,plain,(
% 0.14/0.41 ~sQ10_spl|~sQ20_spl|sQ21_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f631,f566,f634,f637])).
% 0.14/0.41 fof(f641,definition,(
% 0.14/0.41 sQ22_spl <=> (rearsegP(sK50_skl,sK50_skl))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f643,plain,(
% 0.14/0.41 ~rearsegP(sK50_skl,sK50_skl)|sQ22_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f641])).
% 0.14/0.41 fof(f644,definition,(
% 0.14/0.41 sQ23_spl <=> (sK50_skl=sK50_skl)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f647,plain,(
% 0.14/0.41 ~sQ8_spl|~sQ22_spl|sQ23_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f632,f550,f641,f644])).
% 0.14/0.41 fof(f649,plain,(
% 0.14/0.41 $false|sQ10_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f568,f422])).
% 0.14/0.41 fof(f650,plain,(
% 0.14/0.41 sQ10_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f649])).
% 0.14/0.41 fof(f651,plain,(
% 0.14/0.41 $false|sQ8_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f552,f423])).
% 0.14/0.41 fof(f652,plain,(
% 0.14/0.41 sQ8_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f651])).
% 0.14/0.41 fof(f653,plain,(
% 0.14/0.41 $false|sQ20_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f636,f504])).
% 0.14/0.41 fof(f654,plain,(
% 0.14/0.41 sQ20_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f653])).
% 0.14/0.41 fof(f655,plain,(
% 0.14/0.41 $false|sQ22_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f643,f503])).
% 0.14/0.41 fof(f656,plain,(
% 0.14/0.41 sQ22_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f655])).
% 0.14/0.41 fof(f661,plain,(
% 0.14/0.41 frontsegP(sK49_skl,sK49_skl)),
% 0.14/0.41 inference(resolution,[status(thm)],[f286,f422])).
% 0.14/0.41 fof(f662,plain,(
% 0.14/0.41 frontsegP(sK50_skl,sK50_skl)),
% 0.14/0.41 inference(resolution,[status(thm)],[f286,f423])).
% 0.14/0.41 fof(f664,plain,(
% 0.14/0.41 segmentP(sK50_skl,sK50_skl)),
% 0.14/0.41 inference(resolution,[status(thm)],[f319,f423])).
% 0.14/0.41 fof(f669,plain,(
% 0.14/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK5_skl(sK50_skl,sK50_skl))),
% 0.14/0.41 inference(resolution,[status(thm)],[f122,f662])).
% 0.14/0.41 fof(f670,plain,(
% 0.14/0.41 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK5_skl(sK49_skl,sK49_skl))),
% 0.14/0.41 inference(resolution,[status(thm)],[f122,f661])).
% 0.14/0.41 fof(f671,definition,(
% 0.14/0.41 sQ24_spl <=> (ssList(sK5_skl(sK50_skl,sK50_skl)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f674,plain,(
% 0.14/0.41 ~sQ8_spl|sQ24_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f669,f550,f671])).
% 0.14/0.41 fof(f675,definition,(
% 0.14/0.41 sQ25_spl <=> (ssList(sK5_skl(sK49_skl,sK49_skl)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f678,plain,(
% 0.14/0.41 ~sQ10_spl|sQ25_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f670,f566,f675])).
% 0.14/0.41 fof(f679,plain,(
% 0.14/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|app(sK50_skl,sK5_skl(sK50_skl,sK50_skl))=sK50_skl),
% 0.14/0.41 inference(resolution,[status(thm)],[f123,f662])).
% 0.14/0.41 fof(f680,plain,(
% 0.14/0.41 ~ssList(sK49_skl)|~ssList(sK49_skl)|app(sK49_skl,sK5_skl(sK49_skl,sK49_skl))=sK49_skl),
% 0.14/0.41 inference(resolution,[status(thm)],[f123,f661])).
% 0.14/0.41 fof(f681,definition,(
% 0.14/0.41 sQ26_spl <=> (app(sK50_skl,sK5_skl(sK50_skl,sK50_skl))=sK50_skl)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f684,plain,(
% 0.14/0.41 ~sQ8_spl|sQ26_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f679,f550,f681])).
% 0.14/0.41 fof(f685,definition,(
% 0.14/0.41 sQ27_spl <=> (app(sK49_skl,sK5_skl(sK49_skl,sK49_skl))=sK49_skl)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f688,plain,(
% 0.14/0.41 ~sQ10_spl|sQ27_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f680,f566,f685])).
% 0.14/0.41 fof(f689,plain,(
% 0.14/0.41 ![X0,X1]: (~sP1_prd(X0,X1)|sK49_skl=X0|~sQ4_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f612,f437])).
% 0.14/0.41 fof(f691,plain,(
% 0.14/0.41 sK49_skl=sK50_skl|~sQ4_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f689,f455])).
% 0.14/0.41 fof(f696,plain,(
% 0.14/0.41 neq(sK50_skl,sK50_skl)|~sQ4_spl|~sQ1_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f691,f617])).
% 0.14/0.41 fof(f721,plain,(
% 0.14/0.41 ~ssList(sK50_skl)|~sQ4_spl|~sQ1_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f696,f481])).
% 0.14/0.41 fof(f723,plain,(
% 0.14/0.41 ~sQ8_spl|~sQ4_spl|~sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f721,f550,f454,f443])).
% 0.14/0.41 fof(f726,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~rearsegP(sK50_skl,X0)|nil=X0|~sQ0_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f509,f312])).
% 0.14/0.41 fof(f727,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~rearsegP(sK50_skl,X0)|sK50_skl=X0|~sQ0_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f509,f726])).
% 0.14/0.41 fof(f737,plain,(
% 0.14/0.41 segmentP(sK49_skl,sK49_skl)),
% 0.14/0.41 inference(resolution,[status(thm)],[f422,f319])).
% 0.14/0.41 fof(f742,plain,(
% 0.14/0.41 rearsegP(sK49_skl,sK49_skl)),
% 0.14/0.41 inference(resolution,[status(thm)],[f422,f305])).
% 0.14/0.41 fof(f750,plain,(
% 0.14/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK6_skl(sK50_skl,sK50_skl))),
% 0.14/0.41 inference(resolution,[status(thm)],[f128,f503])).
% 0.14/0.41 fof(f752,definition,(
% 0.14/0.41 sQ29_spl <=> (ssList(sK6_skl(sK50_skl,sK50_skl)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f755,plain,(
% 0.14/0.41 ~sQ8_spl|sQ29_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f750,f550,f752])).
% 0.14/0.41 fof(f757,plain,(
% 0.14/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|app(sK6_skl(sK50_skl,sK50_skl),sK50_skl)=sK50_skl),
% 0.14/0.41 inference(resolution,[status(thm)],[f129,f503])).
% 0.14/0.41 fof(f759,definition,(
% 0.14/0.41 sQ30_spl <=> (app(sK6_skl(sK50_skl,sK50_skl),sK50_skl)=sK50_skl)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f762,plain,(
% 0.14/0.41 ~sQ8_spl|sQ30_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f757,f550,f759])).
% 0.14/0.41 fof(f766,plain,(
% 0.14/0.41 ~ssList(sK49_skl)|sK50_skl=sK49_skl|~sQ6_spl|~sQ0_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f462,f727])).
% 0.14/0.41 fof(f767,plain,(
% 0.14/0.41 ~ssList(sK50_skl)|~ssList(sK49_skl)|app(sK6_skl(sK49_skl,sK50_skl),sK49_skl)=sK50_skl|~sQ6_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f462,f129])).
% 0.14/0.41 fof(f768,plain,(
% 0.14/0.41 ~ssList(sK50_skl)|~ssList(sK49_skl)|ssList(sK6_skl(sK49_skl,sK50_skl))|~sQ6_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f462,f128])).
% 0.14/0.41 fof(f770,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~ssList(sK50_skl)|~ssList(sK49_skl)|~rearsegP(X0,sK50_skl)|rearsegP(X0,sK49_skl)|~sQ6_spl)),
% 0.14/0.41 inference(resolution,[status(thm)],[f462,f301])).
% 0.14/0.41 fof(f771,definition,(
% 0.14/0.41 sQ31_spl <=> (sK50_skl=sK49_skl)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f772,plain,(
% 0.14/0.41 sK50_skl=sK49_skl|~sQ31_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f771])).
% 0.14/0.41 fof(f774,plain,(
% 0.14/0.41 ~sQ10_spl|sQ31_spl|~sQ6_spl|~sQ0_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f766,f566,f771,f461,f440])).
% 0.14/0.41 fof(f775,definition,(
% 0.14/0.41 sQ32_spl <=> (app(sK6_skl(sK49_skl,sK50_skl),sK49_skl)=sK50_skl)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f778,plain,(
% 0.14/0.41 ~sQ8_spl|~sQ10_spl|sQ32_spl|~sQ6_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f767,f550,f566,f775,f461])).
% 0.14/0.41 fof(f779,definition,(
% 0.14/0.41 sQ33_spl <=> (ssList(sK6_skl(sK49_skl,sK50_skl)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f782,plain,(
% 0.14/0.41 ~sQ8_spl|~sQ10_spl|sQ33_spl|~sQ6_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f768,f550,f566,f779,f461])).
% 0.14/0.41 fof(f787,definition,(
% 0.14/0.41 ![X0]: (sQ35_spl <=> (~ssList(X0)|~rearsegP(X0,sK50_skl)|rearsegP(X0,sK49_skl)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f790,plain,(
% 0.14/0.41 sQ35_spl|~sQ8_spl|~sQ10_spl|~sQ6_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f770,f787,f550,f566,f461])).
% 0.14/0.41 fof(f795,plain,(
% 0.14/0.41 segmentP(nil,nil)),
% 0.14/0.41 inference(resolution,[status(thm)],[f223,f319])).
% 0.14/0.41 fof(f796,plain,(
% 0.14/0.41 frontsegP(nil,nil)),
% 0.14/0.41 inference(resolution,[status(thm)],[f223,f286])).
% 0.14/0.41 fof(f808,plain,(
% 0.14/0.41 ~ssList(nil)|~ssList(nil)|app(sK6_skl(nil,nil),nil)=nil),
% 0.14/0.41 inference(resolution,[status(thm)],[f561,f129])).
% 0.14/0.41 fof(f809,plain,(
% 0.14/0.41 ~ssList(nil)|~ssList(nil)|ssList(sK6_skl(nil,nil))),
% 0.14/0.41 inference(resolution,[status(thm)],[f561,f128])).
% 0.14/0.41 fof(f811,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|~rearsegP(X0,nil)|rearsegP(X0,nil))),
% 0.14/0.41 inference(resolution,[status(thm)],[f561,f301])).
% 0.14/0.41 fof(f812,definition,(
% 0.14/0.41 sQ36_spl <=> (ssList(nil))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f814,plain,(
% 0.14/0.41 ~ssList(nil)|sQ36_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f812])).
% 0.14/0.41 fof(f815,definition,(
% 0.14/0.41 sQ37_spl <=> (app(sK6_skl(nil,nil),nil)=nil)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f818,plain,(
% 0.14/0.41 ~sQ36_spl|sQ37_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f808,f812,f815])).
% 0.14/0.41 fof(f819,definition,(
% 0.14/0.41 sQ38_spl <=> (ssList(sK6_skl(nil,nil)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f822,plain,(
% 0.14/0.41 ~sQ36_spl|sQ38_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f809,f812,f819])).
% 0.14/0.41 fof(f823,definition,(
% 0.14/0.41 sQ39_spl <=> (rearsegP(nil,nil))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f825,plain,(
% 0.14/0.41 ~rearsegP(nil,nil)|sQ39_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f823])).
% 0.14/0.41 fof(f826,definition,(
% 0.14/0.41 sQ40_spl <=> (nil=nil)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f830,definition,(
% 0.14/0.41 ![X0]: (sQ41_spl <=> (~ssList(X0)|~rearsegP(X0,nil)|rearsegP(X0,nil)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f833,plain,(
% 0.14/0.41 sQ41_spl|~sQ36_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f811,f830,f812])).
% 0.14/0.41 fof(f834,plain,(
% 0.14/0.41 $false|sQ36_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f814,f223])).
% 0.14/0.41 fof(f835,plain,(
% 0.14/0.41 sQ36_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f834])).
% 0.14/0.41 fof(f836,plain,(
% 0.14/0.41 $false|sQ39_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f825,f561])).
% 0.14/0.41 fof(f837,plain,(
% 0.14/0.41 sQ39_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f836])).
% 0.14/0.41 fof(f844,plain,(
% 0.14/0.41 ~sP1_prd(sK50_skl,sK50_skl)|~sQ31_spl|sQ4_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f772,f456])).
% 0.14/0.41 fof(f855,plain,(
% 0.14/0.41 ~rearsegP(sK50_skl,sK47_skl)|sQ3_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f424,f452])).
% 0.14/0.41 fof(f856,plain,(
% 0.14/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK7_skl(sK50_skl,sK50_skl))),
% 0.14/0.41 inference(resolution,[status(thm)],[f134,f664])).
% 0.14/0.41 fof(f857,definition,(
% 0.14/0.41 sQ43_spl <=> (ssList(sK7_skl(sK50_skl,sK50_skl)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f860,plain,(
% 0.14/0.41 ~sQ8_spl|sQ43_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f856,f550,f857])).
% 0.14/0.41 fof(f861,plain,(
% 0.14/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK8_skl(sK50_skl,sK50_skl))),
% 0.14/0.41 inference(resolution,[status(thm)],[f135,f664])).
% 0.14/0.41 fof(f862,definition,(
% 0.14/0.41 sQ44_spl <=> (ssList(sK8_skl(sK50_skl,sK50_skl)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f865,plain,(
% 0.14/0.41 ~sQ8_spl|sQ44_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f861,f550,f862])).
% 0.14/0.41 fof(f866,plain,(
% 0.14/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|app(app(sK7_skl(sK50_skl,sK50_skl),sK50_skl),sK8_skl(sK50_skl,sK50_skl))=sK50_skl),
% 0.14/0.41 inference(resolution,[status(thm)],[f136,f664])).
% 0.14/0.41 fof(f867,definition,(
% 0.14/0.41 sQ45_spl <=> (app(app(sK7_skl(sK50_skl,sK50_skl),sK50_skl),sK8_skl(sK50_skl,sK50_skl))=sK50_skl)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f870,plain,(
% 0.14/0.41 ~sQ8_spl|sQ45_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f866,f550,f867])).
% 0.14/0.41 fof(f879,plain,(
% 0.14/0.41 ~ssList(nil)|~ssList(nil)|app(app(sK7_skl(nil,nil),nil),sK8_skl(nil,nil))=nil),
% 0.14/0.41 inference(resolution,[status(thm)],[f795,f136])).
% 0.14/0.41 fof(f880,plain,(
% 0.14/0.41 ~ssList(nil)|~ssList(nil)|ssList(sK8_skl(nil,nil))),
% 0.14/0.41 inference(resolution,[status(thm)],[f795,f135])).
% 0.14/0.41 fof(f881,plain,(
% 0.14/0.41 ~ssList(nil)|~ssList(nil)|ssList(sK7_skl(nil,nil))),
% 0.14/0.41 inference(resolution,[status(thm)],[f795,f134])).
% 0.14/0.41 fof(f882,definition,(
% 0.14/0.41 sQ46_spl <=> (app(app(sK7_skl(nil,nil),nil),sK8_skl(nil,nil))=nil)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f885,plain,(
% 0.14/0.41 ~sQ36_spl|sQ46_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f879,f812,f882])).
% 0.14/0.41 fof(f886,definition,(
% 0.14/0.41 sQ47_spl <=> (ssList(sK8_skl(nil,nil)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f889,plain,(
% 0.14/0.41 ~sQ36_spl|sQ47_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f880,f812,f886])).
% 0.14/0.41 fof(f890,definition,(
% 0.14/0.41 sQ48_spl <=> (ssList(sK7_skl(nil,nil)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f893,plain,(
% 0.14/0.41 ~sQ36_spl|sQ48_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f881,f812,f890])).
% 0.14/0.41 fof(f894,plain,(
% 0.14/0.41 ~ssList(nil)|~ssList(nil)|app(nil,sK5_skl(nil,nil))=nil),
% 0.14/0.41 inference(resolution,[status(thm)],[f796,f123])).
% 0.14/0.41 fof(f895,plain,(
% 0.14/0.41 ~ssList(nil)|~ssList(nil)|ssList(sK5_skl(nil,nil))),
% 0.14/0.41 inference(resolution,[status(thm)],[f796,f122])).
% 0.14/0.41 fof(f896,definition,(
% 0.14/0.41 sQ49_spl <=> (app(nil,sK5_skl(nil,nil))=nil)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f899,plain,(
% 0.14/0.41 ~sQ36_spl|sQ49_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f894,f812,f896])).
% 0.14/0.41 fof(f900,definition,(
% 0.14/0.41 sQ50_spl <=> (ssList(sK5_skl(nil,nil)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f903,plain,(
% 0.14/0.41 ~sQ36_spl|sQ50_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f895,f812,f900])).
% 0.14/0.41 fof(f909,plain,(
% 0.14/0.41 ~rearsegP(sK50_skl,sK49_skl)|sQ3_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f425,f855])).
% 0.14/0.41 fof(f915,plain,(
% 0.14/0.41 ~ssList(sK49_skl)|~ssList(sK49_skl)|app(sK6_skl(sK49_skl,sK49_skl),sK49_skl)=sK49_skl),
% 0.14/0.41 inference(resolution,[status(thm)],[f742,f129])).
% 0.14/0.41 fof(f916,plain,(
% 0.14/0.41 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK6_skl(sK49_skl,sK49_skl))),
% 0.14/0.41 inference(resolution,[status(thm)],[f742,f128])).
% 0.14/0.41 fof(f919,definition,(
% 0.14/0.41 sQ53_spl <=> (app(sK6_skl(sK49_skl,sK49_skl),sK49_skl)=sK49_skl)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f922,plain,(
% 0.14/0.41 ~sQ10_spl|sQ53_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f915,f566,f919])).
% 0.14/0.41 fof(f923,definition,(
% 0.14/0.41 sQ54_spl <=> (ssList(sK6_skl(sK49_skl,sK49_skl)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f926,plain,(
% 0.14/0.41 ~sQ10_spl|sQ54_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f916,f566,f923])).
% 0.14/0.41 fof(f933,plain,(
% 0.14/0.41 ~ssList(sK49_skl)|~ssList(sK49_skl)|app(app(sK7_skl(sK49_skl,sK49_skl),sK49_skl),sK8_skl(sK49_skl,sK49_skl))=sK49_skl),
% 0.14/0.41 inference(resolution,[status(thm)],[f737,f136])).
% 0.14/0.42 fof(f934,plain,(
% 0.14/0.42 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK8_skl(sK49_skl,sK49_skl))),
% 0.14/0.42 inference(resolution,[status(thm)],[f737,f135])).
% 0.14/0.42 fof(f935,plain,(
% 0.14/0.42 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK7_skl(sK49_skl,sK49_skl))),
% 0.14/0.42 inference(resolution,[status(thm)],[f737,f134])).
% 0.14/0.42 fof(f936,definition,(
% 0.14/0.42 sQ55_spl <=> (app(app(sK7_skl(sK49_skl,sK49_skl),sK49_skl),sK8_skl(sK49_skl,sK49_skl))=sK49_skl)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f939,plain,(
% 0.14/0.42 ~sQ10_spl|sQ55_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f933,f566,f936])).
% 0.14/0.42 fof(f940,definition,(
% 0.14/0.42 sQ56_spl <=> (ssList(sK8_skl(sK49_skl,sK49_skl)))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f943,plain,(
% 0.14/0.42 ~sQ10_spl|sQ56_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f934,f566,f940])).
% 0.14/0.42 fof(f944,definition,(
% 0.14/0.42 sQ57_spl <=> (ssList(sK7_skl(sK49_skl,sK49_skl)))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f947,plain,(
% 0.14/0.42 ~sQ10_spl|sQ57_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f935,f566,f944])).
% 0.14/0.42 fof(f949,plain,(
% 0.14/0.42 ~ssList(nil)|nil=nil),
% 0.14/0.42 inference(resolution,[status(thm)],[f312,f561])).
% 0.14/0.42 fof(f950,plain,(
% 0.14/0.42 ![X0,X1]: (~ssList(X0)|nil=X0|~ssList(nil)|~ssList(X1)|~ssList(X0)|~rearsegP(nil,X1)|~rearsegP(X1,X0))),
% 0.14/0.42 inference(resolution,[status(thm)],[f312,f301])).
% 0.14/0.42 fof(f951,plain,(
% 0.14/0.42 ~sQ36_spl|sQ40_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f949,f812,f826])).
% 0.14/0.42 fof(f952,definition,(
% 0.14/0.42 ![X0,X1]: (sQ58_spl <=> (~ssList(X0)|nil=X0|~ssList(X1)|~ssList(X0)|~rearsegP(nil,X1)|~rearsegP(X1,X0)))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f955,plain,(
% 0.14/0.42 sQ58_spl|~sQ36_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f950,f952,f812])).
% 0.14/0.42 fof(f965,plain,(
% 0.14/0.42 $false|~sQ5_spl|sQ2_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f570,f458])).
% 0.14/0.42 fof(f966,plain,(
% 0.14/0.42 ~sQ5_spl|sQ2_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f965])).
% 0.14/0.42 fof(f968,plain,(
% 0.14/0.42 $false|~sQ6_spl|sQ3_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f909,f462])).
% 0.14/0.42 fof(f969,plain,(
% 0.14/0.42 ~sQ6_spl|sQ3_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f968])).
% 0.14/0.42 fof(f1017,plain,(
% 0.14/0.42 $false|~sQ31_spl|sQ4_spl|~sQ0_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f524,f844])).
% 0.14/0.42 fof(f1018,plain,(
% 0.14/0.42 ~sQ31_spl|sQ4_spl|~sQ0_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1017])).
% 0.14/0.42 fof(f1019,plain,(
% 0.14/0.42 $false),
% 0.14/0.42 inference(sat_refutation,[status(thm)],[f446,f453,f460,f464,f541,f553,f569,f640,f647,f650,f652,f654,f656,f674,f678,f684,f688,f723,f755,f762,f774,f778,f782,f790,f818,f822,f833,f835,f837,f860,f865,f870,f885,f889,f893,f899,f903,f922,f926,f939,f943,f947,f951,f955,f966,f969,f1018])).
% 0.14/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.070934 seconds
% 0.14/0.43 % CPU time: 0.216408 seconds
% 0.14/0.43 % Total memory used: 111.183 MB
% 0.14/0.43 % Net memory used: 111.012 MB
%------------------------------------------------------------------------------