%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC048+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 : n017.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 02:41:26 PM UTC 2026
% Result : Theorem 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC048+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
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 07:46:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f4,axiom,(
% 0.11/0.41 (! [U] :( ssList(U)=> ( singletonP(U)<=> (? [V] :( ssItem(V)& cons(V,nil) = U ) )) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f5,axiom,(
% 0.11/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f6,axiom,(
% 0.11/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( rearsegP(U,V)<=> (? [W] :( ssList(W)& app(W,V) = U ) )) ) )) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f7,axiom,(
% 0.11/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f17,axiom,(
% 0.11/0.41 ssList(nil) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f42,axiom,(
% 0.11/0.41 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f45,axiom,(
% 0.11/0.41 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f47,axiom,(
% 0.11/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( rearsegP(U,V)& rearsegP(V,W) )=> rearsegP(U,W) ) ) )) )) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f48,axiom,(
% 0.11/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( rearsegP(U,V)& rearsegP(V,U) )=> U = V ) ) )) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f49,axiom,(
% 0.11/0.41 (! [U] :( ssList(U)=> rearsegP(U,U) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f52,axiom,(
% 0.11/0.41 (! [U] :( ssList(U)=> ( rearsegP(nil,U)<=> nil = U ) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f55,axiom,(
% 0.11/0.41 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f57,axiom,(
% 0.11/0.41 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f96,conjecture,(
% 0.11/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& rearsegP(V,Y)& rearsegP(U,Y) ) )) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f97,negated_conjecture,(
% 0.11/0.41 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& rearsegP(V,Y)& rearsegP(U,Y) ) )) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) ))),
% 0.11/0.41 inference(negated_conjecture,[status(cth)],[f96])).
% 0.11/0.41 fof(f113,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|(singletonP(U)<=>(?[V]: (ssItem(V)&cons(V,nil)=U))))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.11/0.41 fof(f114,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|((~singletonP(U)|(?[V]: (ssItem(V)&cons(V,nil)=U)))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f113])).
% 0.11/0.41 fof(f115,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|((~singletonP(U)|(ssItem(sK4_skl(U))&cons(sK4_skl(U),nil)=U))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.11/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(V,sK4_skl(U))],[f114])).
% 0.11/0.41 fof(f116,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|~singletonP(X0)|ssItem(sK4_skl(X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f115])).
% 0.11/0.41 fof(f119,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.11/0.41 fof(f120,plain,(
% 0.11/0.41 ![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)))))))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f119])).
% 0.11/0.41 fof(f121,plain,(
% 0.11/0.41 ![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)))))))),
% 0.11/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(W,sK5_skl(V,U))],[f120])).
% 0.11/0.41 fof(f122,plain,(
% 0.11/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sK5_skl(X1,X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f121])).
% 0.11/0.41 fof(f123,plain,(
% 0.11/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sK5_skl(X1,X0))=X0)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f121])).
% 0.11/0.41 fof(f125,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(rearsegP(U,V)<=>(?[W]: (ssList(W)&app(W,V)=U))))))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.11/0.41 fof(f126,plain,(
% 0.11/0.41 ![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)))))))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f125])).
% 0.11/0.41 fof(f127,plain,(
% 0.11/0.41 ![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)))))))),
% 0.11/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(W,sK6_skl(V,U))],[f126])).
% 0.11/0.41 fof(f128,plain,(
% 0.11/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|ssList(sK6_skl(X1,X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f127])).
% 0.11/0.41 fof(f129,plain,(
% 0.11/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|app(sK6_skl(X1,X0),X1)=X0)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f127])).
% 0.11/0.41 fof(f131,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.11/0.41 fof(f132,plain,(
% 0.11/0.41 ![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)))))))))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f131])).
% 0.11/0.41 fof(f133,plain,(
% 0.11/0.41 ![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)))))))))),
% 0.11/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 0.11/0.41 fof(f134,plain,(
% 0.11/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|ssList(sK7_skl(X1,X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f133])).
% 0.11/0.41 fof(f135,plain,(
% 0.11/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|ssList(sK8_skl(X1,X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f133])).
% 0.11/0.41 fof(f136,plain,(
% 0.11/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|app(app(sK7_skl(X1,X0),X1),sK8_skl(X1,X0))=X0)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f133])).
% 0.11/0.41 fof(f223,plain,(
% 0.11/0.41 ssList(nil)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.41 fof(f285,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|frontsegP(U,U))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.11/0.41 fof(f286,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f285])).
% 0.11/0.41 fof(f294,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.11/0.41 fof(f295,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f294])).
% 0.11/0.41 fof(f300,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~rearsegP(U,V)|~rearsegP(V,W))|rearsegP(U,W)))))))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.11/0.41 fof(f301,plain,(
% 0.11/0.41 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~rearsegP(X0,X1)|~rearsegP(X1,X2)|rearsegP(X0,X2))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f300])).
% 0.11/0.41 fof(f302,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|~rearsegP(V,U))|U=V))))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f48])).
% 0.11/0.41 fof(f303,plain,(
% 0.11/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|~rearsegP(X1,X0)|X0=X1)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f302])).
% 0.11/0.41 fof(f304,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|rearsegP(U,U))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.11/0.41 fof(f305,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f304])).
% 0.11/0.41 fof(f310,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|(rearsegP(nil,U)<=>nil=U))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 0.11/0.41 fof(f311,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|((~rearsegP(nil,U)|nil=U)&(rearsegP(nil,U)|~nil=U)))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f310])).
% 0.11/0.41 fof(f312,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|~rearsegP(nil,X0)|nil=X0)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f311])).
% 0.11/0.41 fof(f318,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 0.11/0.41 fof(f319,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f318])).
% 0.11/0.41 fof(f322,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.11/0.41 fof(f323,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f322])).
% 0.11/0.41 fof(f415,plain,(
% 0.11/0.41 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&((nil=V&~nil=U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~rearsegP(V,Y))|~rearsegP(U,Y))))))&((nil=X&nil=W)|(neq(W,nil)&rearsegP(X,W))))))))))))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.11/0.41 fof(f416,definition,(
% 0.11/0.41 ![U,V]: (sP0_prd(V,U)<=>(nil=V&~nil=U))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.11/0.41 fof(f417,definition,(
% 0.11/0.41 ![W,X]: (sP1_prd(X,W)<=>(nil=X&nil=W))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.11/0.41 fof(f418,plain,(
% 0.11/0.41 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(sP0_prd(V,U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~rearsegP(V,Y))|~rearsegP(U,Y))))))&(sP1_prd(X,W)|(neq(W,nil)&rearsegP(X,W)))))))))))),
% 0.11/0.41 inference(formula_renaming,[status(thm)],[f415,f417,f416])).
% 0.11/0.41 fof(f419,plain,(
% 0.11/0.41 (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)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~rearsegP(sK48_skl,Y))|~rearsegP(sK47_skl,Y))))))&(sP1_prd(sK50_skl,sK49_skl)|(neq(sK49_skl,nil)&rearsegP(sK50_skl,sK49_skl))))))))),
% 0.11/0.41 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])).
% 0.11/0.41 fof(f422,plain,(
% 0.11/0.41 ssList(sK49_skl)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.11/0.41 fof(f423,plain,(
% 0.11/0.41 ssList(sK50_skl)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.11/0.41 fof(f424,plain,(
% 0.11/0.41 sK48_skl=sK50_skl),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.11/0.41 fof(f425,plain,(
% 0.11/0.41 sK47_skl=sK49_skl),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.11/0.41 fof(f426,plain,(
% 0.11/0.41 sP0_prd(sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.11/0.41 fof(f427,plain,(
% 0.11/0.41 ![X0]: (sP0_prd(sK48_skl,sK47_skl)|~ssList(X0)|~neq(X0,nil)|~rearsegP(sK48_skl,X0)|~rearsegP(sK47_skl,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.11/0.41 fof(f428,plain,(
% 0.11/0.41 sP1_prd(sK50_skl,sK49_skl)|neq(sK49_skl,nil)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.11/0.41 fof(f429,plain,(
% 0.11/0.41 sP1_prd(sK50_skl,sK49_skl)|rearsegP(sK50_skl,sK49_skl)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f419])).
% 0.11/0.41 fof(f430,plain,(
% 0.11/0.41 ![U,V]: ((~sP0_prd(V,U)|(nil=V&~nil=U))&(sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f416])).
% 0.11/0.41 fof(f431,plain,(
% 0.11/0.41 (![U,V]: (~sP0_prd(V,U)|(nil=V&~nil=U)))&(![U,V]: (sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f430])).
% 0.11/0.41 fof(f432,plain,(
% 0.11/0.41 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f431])).
% 0.11/0.41 fof(f433,plain,(
% 0.11/0.41 ![X0,X1]: (~sP0_prd(X0,X1)|~nil=X1)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f431])).
% 0.11/0.41 fof(f435,plain,(
% 0.11/0.41 ![W,X]: ((~sP1_prd(X,W)|(nil=X&nil=W))&(sP1_prd(X,W)|(~nil=X|~nil=W)))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f417])).
% 0.11/0.41 fof(f436,plain,(
% 0.11/0.41 (![W,X]: (~sP1_prd(X,W)|(nil=X&nil=W)))&(![W,X]: (sP1_prd(X,W)|(~nil=X|~nil=W)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f435])).
% 0.11/0.41 fof(f437,plain,(
% 0.11/0.41 ![X0,X1]: (~sP1_prd(X0,X1)|nil=X0)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f436])).
% 0.11/0.41 fof(f438,plain,(
% 0.11/0.41 ![X0,X1]: (~sP1_prd(X0,X1)|nil=X1)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f436])).
% 0.11/0.41 fof(f440,definition,(
% 0.11/0.41 sQ0_spl <=> (sP0_prd(sK48_skl,sK47_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f441,plain,(
% 0.11/0.41 sP0_prd(sK48_skl,sK47_skl)|~sQ0_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f440])).
% 0.11/0.41 fof(f443,definition,(
% 0.11/0.41 sQ1_spl <=> (neq(sK48_skl,nil))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f444,plain,(
% 0.11/0.41 neq(sK48_skl,nil)|~sQ1_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f443])).
% 0.11/0.41 fof(f446,plain,(
% 0.11/0.41 sQ0_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f426,f440,f443])).
% 0.11/0.41 fof(f447,definition,(
% 0.11/0.41 ![X0]: (sQ2_spl <=> (~ssList(X0)|~neq(X0,nil)|~rearsegP(sK48_skl,X0)|~rearsegP(sK47_skl,X0)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f448,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sK48_skl,X0)|~rearsegP(sK47_skl,X0)|~sQ2_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f447])).
% 0.11/0.41 fof(f450,plain,(
% 0.11/0.41 sQ0_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f427,f440,f447])).
% 0.11/0.41 fof(f451,definition,(
% 0.11/0.41 sQ3_spl <=> (sP1_prd(sK50_skl,sK49_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f452,plain,(
% 0.11/0.41 sP1_prd(sK50_skl,sK49_skl)|~sQ3_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f451])).
% 0.11/0.41 fof(f454,definition,(
% 0.11/0.41 sQ4_spl <=> (neq(sK49_skl,nil))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f455,plain,(
% 0.11/0.41 neq(sK49_skl,nil)|~sQ4_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f454])).
% 0.11/0.41 fof(f457,plain,(
% 0.11/0.41 sQ3_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f428,f451,f454])).
% 0.11/0.41 fof(f458,definition,(
% 0.11/0.41 sQ5_spl <=> (rearsegP(sK50_skl,sK49_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f459,plain,(
% 0.11/0.41 rearsegP(sK50_skl,sK49_skl)|~sQ5_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f458])).
% 0.11/0.41 fof(f461,plain,(
% 0.11/0.41 sQ3_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f429,f451,f458])).
% 0.11/0.41 fof(f492,plain,(
% 0.11/0.41 ![X0]: (~sP0_prd(X0,nil))),
% 0.11/0.41 inference(destructive_equality_resolution,[status(thm)],[f433])).
% 0.11/0.41 fof(f497,plain,(
% 0.11/0.41 sP0_prd(sK50_skl,sK47_skl)|~sQ0_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f424,f441])).
% 0.11/0.41 fof(f498,plain,(
% 0.11/0.41 sP0_prd(sK50_skl,sK49_skl)|~sQ0_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f425,f497])).
% 0.11/0.41 fof(f499,plain,(
% 0.11/0.41 rearsegP(nil,nil)),
% 0.11/0.41 inference(resolution,[status(thm)],[f305,f223])).
% 0.11/0.41 fof(f500,plain,(
% 0.11/0.41 rearsegP(sK50_skl,sK50_skl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f305,f423])).
% 0.11/0.41 fof(f501,plain,(
% 0.11/0.41 rearsegP(sK49_skl,sK49_skl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f305,f422])).
% 0.11/0.41 fof(f506,plain,(
% 0.11/0.41 nil=sK50_skl|~sQ0_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f432,f498])).
% 0.11/0.41 fof(f518,plain,(
% 0.11/0.41 ![X0]: (~sP0_prd(X0,sK50_skl)|~sQ0_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f506,f492])).
% 0.11/0.41 fof(f528,plain,(
% 0.11/0.41 ![X0,X1]: (~sP1_prd(X0,X1)|sK50_skl=X1|~sQ0_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f506,f438])).
% 0.11/0.41 fof(f530,plain,(
% 0.11/0.41 sK50_skl=sK49_skl|~sQ0_spl|~sQ3_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f528,f452])).
% 0.11/0.41 fof(f532,plain,(
% 0.11/0.41 sP0_prd(sK50_skl,sK50_skl)|~sQ3_spl|~sQ0_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f530,f498])).
% 0.11/0.41 fof(f537,plain,(
% 0.11/0.41 $false|~sQ3_spl|~sQ0_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f532,f518])).
% 0.11/0.41 fof(f538,plain,(
% 0.11/0.41 ~sQ3_spl|~sQ0_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f537])).
% 0.11/0.41 fof(f541,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|~ssList(sK50_skl)|~ssList(sK50_skl)|~rearsegP(X0,sK50_skl)|rearsegP(X0,sK50_skl))),
% 0.11/0.41 inference(resolution,[status(thm)],[f301,f500])).
% 0.11/0.41 fof(f544,definition,(
% 0.11/0.41 ![X0]: (sQ6_spl <=> (~ssList(X0)|~rearsegP(X0,sK50_skl)|rearsegP(X0,sK50_skl)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f547,definition,(
% 0.11/0.41 sQ7_spl <=> (ssList(sK50_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f549,plain,(
% 0.11/0.41 ~ssList(sK50_skl)|sQ7_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f547])).
% 0.11/0.41 fof(f550,plain,(
% 0.11/0.41 sQ6_spl|~sQ7_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f541,f544,f547])).
% 0.11/0.41 fof(f553,plain,(
% 0.11/0.41 neq(sK50_skl,nil)|~sQ1_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f424,f444])).
% 0.11/0.41 fof(f554,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sK50_skl,X0)|~rearsegP(sK47_skl,X0)|~sQ2_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f424,f448])).
% 0.11/0.41 fof(f560,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|~ssList(sK49_skl)|~ssList(sK49_skl)|~rearsegP(X0,sK49_skl)|rearsegP(X0,sK49_skl))),
% 0.11/0.41 inference(resolution,[status(thm)],[f501,f301])).
% 0.11/0.41 fof(f561,definition,(
% 0.11/0.41 ![X0]: (sQ8_spl <=> (~ssList(X0)|~rearsegP(X0,sK49_skl)|rearsegP(X0,sK49_skl)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f564,definition,(
% 0.11/0.41 sQ9_spl <=> (ssList(sK49_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f566,plain,(
% 0.11/0.41 ~ssList(sK49_skl)|sQ9_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f564])).
% 0.11/0.41 fof(f567,plain,(
% 0.11/0.41 sQ8_spl|~sQ9_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f560,f561,f564])).
% 0.11/0.41 fof(f608,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sK50_skl,X0)|~rearsegP(sK49_skl,X0)|~sQ2_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f425,f554])).
% 0.11/0.41 fof(f609,plain,(
% 0.11/0.41 ~ssList(sK50_skl)|~rearsegP(sK50_skl,sK50_skl)|~rearsegP(sK49_skl,sK50_skl)|~sQ2_spl|~sQ1_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f608,f553])).
% 0.11/0.41 fof(f610,definition,(
% 0.11/0.41 sQ19_spl <=> (rearsegP(sK50_skl,sK50_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f612,plain,(
% 0.11/0.41 ~rearsegP(sK50_skl,sK50_skl)|sQ19_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f610])).
% 0.11/0.41 fof(f613,definition,(
% 0.11/0.41 sQ20_spl <=> (rearsegP(sK49_skl,sK50_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f615,plain,(
% 0.11/0.41 ~rearsegP(sK49_skl,sK50_skl)|sQ20_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f613])).
% 0.11/0.41 fof(f616,plain,(
% 0.11/0.41 ~sQ7_spl|~sQ19_spl|~sQ20_spl|~sQ2_spl|~sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f609,f547,f610,f613,f447,f443])).
% 0.11/0.41 fof(f617,plain,(
% 0.11/0.41 $false|sQ7_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f549,f423])).
% 0.11/0.41 fof(f618,plain,(
% 0.11/0.41 sQ7_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f617])).
% 0.11/0.41 fof(f619,plain,(
% 0.11/0.41 $false|sQ19_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f612,f500])).
% 0.11/0.41 fof(f620,plain,(
% 0.11/0.41 sQ19_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f619])).
% 0.11/0.41 fof(f621,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|~rearsegP(X0,nil)|rearsegP(X0,nil))),
% 0.11/0.41 inference(resolution,[status(thm)],[f499,f301])).
% 0.11/0.41 fof(f622,definition,(
% 0.11/0.41 ![X0]: (sQ21_spl <=> (~ssList(X0)|~rearsegP(X0,nil)|rearsegP(X0,nil)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f625,definition,(
% 0.11/0.41 sQ22_spl <=> (ssList(nil))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f627,plain,(
% 0.11/0.41 ~ssList(nil)|sQ22_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f625])).
% 0.11/0.41 fof(f628,plain,(
% 0.11/0.41 sQ21_spl|~sQ22_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f621,f622,f625])).
% 0.11/0.41 fof(f629,plain,(
% 0.11/0.41 ![X0]: (~ssList(sK49_skl)|~ssList(X0)|~ssList(sK50_skl)|~rearsegP(sK49_skl,X0)|~rearsegP(X0,sK50_skl)|sQ20_spl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f615,f301])).
% 0.11/0.41 fof(f630,definition,(
% 0.11/0.41 ![X0]: (sQ23_spl <=> (~ssList(X0)|~rearsegP(sK49_skl,X0)|~rearsegP(X0,sK50_skl)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f633,plain,(
% 0.11/0.41 ~sQ9_spl|sQ23_spl|~sQ7_spl|sQ20_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f629,f564,f630,f547,f613])).
% 0.11/0.41 fof(f634,plain,(
% 0.11/0.41 $false|sQ9_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f566,f422])).
% 0.11/0.41 fof(f635,plain,(
% 0.11/0.41 sQ9_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f634])).
% 0.11/0.41 fof(f637,plain,(
% 0.11/0.41 nil=sK49_skl|~sQ3_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f438,f452])).
% 0.11/0.41 fof(f656,plain,(
% 0.11/0.41 ~ssList(sK49_skl)|~ssList(sK49_skl)|~rearsegP(sK49_skl,sK49_skl)|sK49_skl=sK49_skl),
% 0.11/0.41 inference(resolution,[status(thm)],[f303,f501])).
% 0.11/0.41 fof(f657,plain,(
% 0.11/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|~rearsegP(sK50_skl,sK50_skl)|sK50_skl=sK50_skl),
% 0.11/0.41 inference(resolution,[status(thm)],[f303,f500])).
% 0.11/0.41 fof(f659,definition,(
% 0.11/0.41 sQ24_spl <=> (rearsegP(sK49_skl,sK49_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f661,plain,(
% 0.11/0.41 ~rearsegP(sK49_skl,sK49_skl)|sQ24_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f659])).
% 0.11/0.41 fof(f662,definition,(
% 0.11/0.41 sQ25_spl <=> (sK49_skl=sK49_skl)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f665,plain,(
% 0.11/0.41 ~sQ9_spl|~sQ24_spl|sQ25_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f656,f564,f659,f662])).
% 0.11/0.41 fof(f666,definition,(
% 0.11/0.41 sQ26_spl <=> (sK50_skl=sK50_skl)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f669,plain,(
% 0.11/0.41 ~sQ7_spl|~sQ19_spl|sQ26_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f657,f547,f610,f666])).
% 0.11/0.41 fof(f671,plain,(
% 0.11/0.41 $false|sQ24_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f661,f501])).
% 0.11/0.41 fof(f672,plain,(
% 0.11/0.41 sQ24_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f671])).
% 0.11/0.41 fof(f675,plain,(
% 0.11/0.41 frontsegP(sK49_skl,sK49_skl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f286,f422])).
% 0.11/0.41 fof(f676,plain,(
% 0.11/0.41 frontsegP(sK50_skl,sK50_skl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f286,f423])).
% 0.11/0.41 fof(f677,plain,(
% 0.11/0.41 segmentP(sK49_skl,sK49_skl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f319,f422])).
% 0.11/0.41 fof(f678,plain,(
% 0.11/0.41 segmentP(sK50_skl,sK50_skl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f319,f423])).
% 0.11/0.41 fof(f683,plain,(
% 0.11/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK5_skl(sK50_skl,sK50_skl))),
% 0.11/0.41 inference(resolution,[status(thm)],[f122,f676])).
% 0.11/0.41 fof(f684,plain,(
% 0.11/0.41 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK5_skl(sK49_skl,sK49_skl))),
% 0.11/0.41 inference(resolution,[status(thm)],[f122,f675])).
% 0.11/0.41 fof(f685,definition,(
% 0.11/0.41 sQ27_spl <=> (ssList(sK5_skl(sK50_skl,sK50_skl)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f686,plain,(
% 0.11/0.41 ssList(sK5_skl(sK50_skl,sK50_skl))|~sQ27_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f685])).
% 0.11/0.41 fof(f688,plain,(
% 0.11/0.41 ~sQ7_spl|sQ27_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f683,f547,f685])).
% 0.11/0.41 fof(f689,definition,(
% 0.11/0.41 sQ28_spl <=> (ssList(sK5_skl(sK49_skl,sK49_skl)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f690,plain,(
% 0.11/0.41 ssList(sK5_skl(sK49_skl,sK49_skl))|~sQ28_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f689])).
% 0.11/0.41 fof(f692,plain,(
% 0.11/0.41 ~sQ9_spl|sQ28_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f684,f564,f689])).
% 0.11/0.41 fof(f693,plain,(
% 0.11/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|app(sK50_skl,sK5_skl(sK50_skl,sK50_skl))=sK50_skl),
% 0.11/0.41 inference(resolution,[status(thm)],[f123,f676])).
% 0.11/0.41 fof(f694,plain,(
% 0.11/0.41 ~ssList(sK49_skl)|~ssList(sK49_skl)|app(sK49_skl,sK5_skl(sK49_skl,sK49_skl))=sK49_skl),
% 0.11/0.41 inference(resolution,[status(thm)],[f123,f675])).
% 0.11/0.41 fof(f695,definition,(
% 0.11/0.41 sQ29_spl <=> (app(sK50_skl,sK5_skl(sK50_skl,sK50_skl))=sK50_skl)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f698,plain,(
% 0.11/0.41 ~sQ7_spl|sQ29_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f693,f547,f695])).
% 0.11/0.41 fof(f699,definition,(
% 0.11/0.41 sQ30_spl <=> (app(sK49_skl,sK5_skl(sK49_skl,sK49_skl))=sK49_skl)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f702,plain,(
% 0.11/0.41 ~sQ9_spl|sQ30_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f694,f564,f699])).
% 0.11/0.41 fof(f703,plain,(
% 0.11/0.41 ![X0,X1]: (~sP1_prd(X0,X1)|sK49_skl=X0|~sQ3_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f637,f437])).
% 0.11/0.41 fof(f705,plain,(
% 0.11/0.41 sK49_skl=sK50_skl|~sQ3_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f703,f452])).
% 0.11/0.41 fof(f721,plain,(
% 0.11/0.41 ~rearsegP(sK50_skl,sK50_skl)|~sQ3_spl|sQ20_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f705,f615])).
% 0.11/0.41 fof(f731,plain,(
% 0.11/0.41 ~sQ19_spl|~sQ3_spl|sQ20_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f721,f610,f451,f613])).
% 0.11/0.41 fof(f747,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|~rearsegP(sK50_skl,X0)|nil=X0|~sQ0_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f506,f312])).
% 0.11/0.41 fof(f748,plain,(
% 0.11/0.41 ![X0]: (~ssList(X0)|~rearsegP(sK50_skl,X0)|sK50_skl=X0|~sQ0_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f506,f747])).
% 0.11/0.41 fof(f767,plain,(
% 0.11/0.41 ~ssList(sK49_skl)|sK50_skl=sK49_skl|~sQ5_spl|~sQ0_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f459,f748])).
% 0.11/0.41 fof(f770,definition,(
% 0.11/0.41 sQ32_spl <=> (sK50_skl=sK49_skl)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f771,plain,(
% 0.11/0.41 sK50_skl=sK49_skl|~sQ32_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f770])).
% 0.11/0.41 fof(f773,plain,(
% 0.11/0.41 ~sQ9_spl|sQ32_spl|~sQ5_spl|~sQ0_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f767,f564,f770,f458,f440])).
% 0.11/0.41 fof(f780,plain,(
% 0.11/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK6_skl(sK50_skl,sK50_skl))),
% 0.11/0.41 inference(resolution,[status(thm)],[f128,f500])).
% 0.11/0.41 fof(f786,definition,(
% 0.11/0.41 sQ35_spl <=> (ssList(sK6_skl(sK50_skl,sK50_skl)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f789,plain,(
% 0.11/0.41 ~sQ7_spl|sQ35_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f780,f547,f786])).
% 0.11/0.41 fof(f792,plain,(
% 0.11/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|app(sK6_skl(sK50_skl,sK50_skl),sK50_skl)=sK50_skl),
% 0.11/0.41 inference(resolution,[status(thm)],[f129,f500])).
% 0.11/0.41 fof(f798,definition,(
% 0.11/0.41 sQ37_spl <=> (app(sK6_skl(sK50_skl,sK50_skl),sK50_skl)=sK50_skl)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f801,plain,(
% 0.11/0.41 ~sQ7_spl|sQ37_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f792,f547,f798])).
% 0.11/0.41 fof(f807,plain,(
% 0.11/0.41 ~ssList(sK49_skl)|~ssList(sK49_skl)|app(sK6_skl(sK49_skl,sK49_skl),sK49_skl)=sK49_skl),
% 0.11/0.41 inference(resolution,[status(thm)],[f501,f129])).
% 0.11/0.41 fof(f808,plain,(
% 0.11/0.41 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK6_skl(sK49_skl,sK49_skl))),
% 0.11/0.41 inference(resolution,[status(thm)],[f501,f128])).
% 0.11/0.41 fof(f811,definition,(
% 0.11/0.41 sQ38_spl <=> (app(sK6_skl(sK49_skl,sK49_skl),sK49_skl)=sK49_skl)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f814,plain,(
% 0.11/0.41 ~sQ9_spl|sQ38_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f807,f564,f811])).
% 0.11/0.41 fof(f815,definition,(
% 0.11/0.41 sQ39_spl <=> (ssList(sK6_skl(sK49_skl,sK49_skl)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f818,plain,(
% 0.11/0.41 ~sQ9_spl|sQ39_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f808,f564,f815])).
% 0.11/0.41 fof(f821,plain,(
% 0.11/0.41 segmentP(nil,nil)),
% 0.11/0.41 inference(resolution,[status(thm)],[f223,f319])).
% 0.11/0.41 fof(f822,plain,(
% 0.11/0.41 frontsegP(nil,nil)),
% 0.11/0.41 inference(resolution,[status(thm)],[f223,f286])).
% 0.11/0.41 fof(f828,plain,(
% 0.11/0.41 ~ssList(nil)|~ssList(nil)|app(sK6_skl(nil,nil),nil)=nil),
% 0.11/0.41 inference(resolution,[status(thm)],[f499,f129])).
% 0.11/0.41 fof(f829,plain,(
% 0.11/0.41 ~ssList(nil)|~ssList(nil)|ssList(sK6_skl(nil,nil))),
% 0.11/0.41 inference(resolution,[status(thm)],[f499,f128])).
% 0.11/0.41 fof(f830,plain,(
% 0.11/0.41 ~ssList(nil)|~ssList(nil)|~rearsegP(nil,nil)|nil=nil),
% 0.11/0.41 inference(resolution,[status(thm)],[f499,f303])).
% 0.11/0.41 fof(f832,definition,(
% 0.11/0.41 sQ40_spl <=> (app(sK6_skl(nil,nil),nil)=nil)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f835,plain,(
% 0.11/0.41 ~sQ22_spl|sQ40_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f828,f625,f832])).
% 0.11/0.41 fof(f836,definition,(
% 0.11/0.41 sQ41_spl <=> (ssList(sK6_skl(nil,nil)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f839,plain,(
% 0.11/0.41 ~sQ22_spl|sQ41_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f829,f625,f836])).
% 0.11/0.41 fof(f840,definition,(
% 0.11/0.41 sQ42_spl <=> (rearsegP(nil,nil))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f842,plain,(
% 0.11/0.41 ~rearsegP(nil,nil)|sQ42_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f840])).
% 0.11/0.41 fof(f843,definition,(
% 0.11/0.41 sQ43_spl <=> (nil=nil)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f846,plain,(
% 0.11/0.41 ~sQ22_spl|~sQ42_spl|sQ43_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f830,f625,f840,f843])).
% 0.11/0.41 fof(f848,plain,(
% 0.11/0.41 $false|sQ22_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f627,f223])).
% 0.11/0.41 fof(f849,plain,(
% 0.11/0.41 sQ22_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f848])).
% 0.11/0.41 fof(f850,plain,(
% 0.11/0.41 $false|sQ42_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f842,f499])).
% 0.11/0.41 fof(f851,plain,(
% 0.11/0.41 sQ42_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f850])).
% 0.11/0.41 fof(f855,plain,(
% 0.11/0.41 ~ssList(nil)|~ssList(nil)|app(nil,sK5_skl(nil,nil))=nil),
% 0.11/0.41 inference(resolution,[status(thm)],[f822,f123])).
% 0.11/0.41 fof(f856,plain,(
% 0.11/0.41 ~ssList(nil)|~ssList(nil)|ssList(sK5_skl(nil,nil))),
% 0.11/0.41 inference(resolution,[status(thm)],[f822,f122])).
% 0.11/0.41 fof(f857,definition,(
% 0.11/0.41 sQ44_spl <=> (app(nil,sK5_skl(nil,nil))=nil)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f860,plain,(
% 0.11/0.41 ~sQ22_spl|sQ44_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f855,f625,f857])).
% 0.11/0.41 fof(f861,definition,(
% 0.11/0.41 sQ45_spl <=> (ssList(sK5_skl(nil,nil)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f864,plain,(
% 0.11/0.41 ~sQ22_spl|sQ45_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f856,f625,f861])).
% 0.11/0.41 fof(f867,plain,(
% 0.11/0.41 frontsegP(sK49_skl,nil)),
% 0.11/0.41 inference(resolution,[status(thm)],[f295,f422])).
% 0.11/0.41 fof(f868,plain,(
% 0.11/0.41 frontsegP(sK50_skl,nil)),
% 0.11/0.41 inference(resolution,[status(thm)],[f295,f423])).
% 0.11/0.41 fof(f869,plain,(
% 0.11/0.41 ~ssList(sK49_skl)|~ssList(nil)|app(nil,sK5_skl(nil,sK49_skl))=sK49_skl),
% 0.11/0.41 inference(resolution,[status(thm)],[f867,f123])).
% 0.11/0.41 fof(f870,plain,(
% 0.11/0.41 ~ssList(sK49_skl)|~ssList(nil)|ssList(sK5_skl(nil,sK49_skl))),
% 0.11/0.41 inference(resolution,[status(thm)],[f867,f122])).
% 0.11/0.41 fof(f871,definition,(
% 0.11/0.41 sQ46_spl <=> (app(nil,sK5_skl(nil,sK49_skl))=sK49_skl)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f874,plain,(
% 0.11/0.41 ~sQ9_spl|~sQ22_spl|sQ46_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f869,f564,f625,f871])).
% 0.11/0.41 fof(f875,definition,(
% 0.11/0.41 sQ47_spl <=> (ssList(sK5_skl(nil,sK49_skl)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f878,plain,(
% 0.11/0.41 ~sQ9_spl|~sQ22_spl|sQ47_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f870,f564,f625,f875])).
% 0.11/0.41 fof(f879,plain,(
% 0.11/0.41 ~ssList(sK50_skl)|~ssList(nil)|app(nil,sK5_skl(nil,sK50_skl))=sK50_skl),
% 0.11/0.41 inference(resolution,[status(thm)],[f868,f123])).
% 0.11/0.41 fof(f880,plain,(
% 0.11/0.41 ~ssList(sK50_skl)|~ssList(nil)|ssList(sK5_skl(nil,sK50_skl))),
% 0.11/0.41 inference(resolution,[status(thm)],[f868,f122])).
% 0.11/0.41 fof(f881,definition,(
% 0.11/0.41 sQ48_spl <=> (app(nil,sK5_skl(nil,sK50_skl))=sK50_skl)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f884,plain,(
% 0.11/0.41 ~sQ7_spl|~sQ22_spl|sQ48_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f879,f547,f625,f881])).
% 0.11/0.41 fof(f885,definition,(
% 0.11/0.41 sQ49_spl <=> (ssList(sK5_skl(nil,sK50_skl)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f888,plain,(
% 0.11/0.41 ~sQ7_spl|~sQ22_spl|sQ49_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f880,f547,f625,f885])).
% 0.11/0.41 fof(f890,plain,(
% 0.11/0.41 segmentP(sK49_skl,nil)),
% 0.11/0.41 inference(resolution,[status(thm)],[f323,f422])).
% 0.11/0.41 fof(f891,plain,(
% 0.11/0.41 segmentP(sK50_skl,nil)),
% 0.11/0.41 inference(resolution,[status(thm)],[f323,f423])).
% 0.11/0.41 fof(f892,plain,(
% 0.11/0.41 ~ssList(nil)|~ssList(nil)|ssList(sK7_skl(nil,nil))),
% 0.11/0.41 inference(resolution,[status(thm)],[f134,f821])).
% 0.11/0.41 fof(f893,plain,(
% 0.11/0.41 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK7_skl(sK49_skl,sK49_skl))),
% 0.11/0.41 inference(resolution,[status(thm)],[f134,f677])).
% 0.11/0.41 fof(f894,plain,(
% 0.11/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK7_skl(sK50_skl,sK50_skl))),
% 0.11/0.41 inference(resolution,[status(thm)],[f134,f678])).
% 0.11/0.41 fof(f895,definition,(
% 0.11/0.41 sQ50_spl <=> (ssList(sK7_skl(nil,nil)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f898,plain,(
% 0.11/0.41 ~sQ22_spl|sQ50_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f892,f625,f895])).
% 0.11/0.41 fof(f899,definition,(
% 0.11/0.41 sQ51_spl <=> (ssList(sK7_skl(sK49_skl,sK49_skl)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f902,plain,(
% 0.11/0.41 ~sQ9_spl|sQ51_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f893,f564,f899])).
% 0.11/0.41 fof(f903,definition,(
% 0.11/0.41 sQ52_spl <=> (ssList(sK7_skl(sK50_skl,sK50_skl)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f906,plain,(
% 0.11/0.41 ~sQ7_spl|sQ52_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f894,f547,f903])).
% 0.11/0.41 fof(f907,plain,(
% 0.11/0.41 ~ssList(nil)|~ssList(nil)|ssList(sK8_skl(nil,nil))),
% 0.11/0.41 inference(resolution,[status(thm)],[f135,f821])).
% 0.11/0.41 fof(f908,plain,(
% 0.11/0.41 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK8_skl(sK49_skl,sK49_skl))),
% 0.11/0.41 inference(resolution,[status(thm)],[f135,f677])).
% 0.11/0.41 fof(f909,plain,(
% 0.11/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK8_skl(sK50_skl,sK50_skl))),
% 0.11/0.41 inference(resolution,[status(thm)],[f135,f678])).
% 0.11/0.41 fof(f910,definition,(
% 0.11/0.41 sQ53_spl <=> (ssList(sK8_skl(nil,nil)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f913,plain,(
% 0.11/0.41 ~sQ22_spl|sQ53_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f907,f625,f910])).
% 0.11/0.41 fof(f914,definition,(
% 0.11/0.41 sQ54_spl <=> (ssList(sK8_skl(sK49_skl,sK49_skl)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f917,plain,(
% 0.11/0.41 ~sQ9_spl|sQ54_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f908,f564,f914])).
% 0.11/0.41 fof(f918,definition,(
% 0.11/0.41 sQ55_spl <=> (ssList(sK8_skl(sK50_skl,sK50_skl)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f921,plain,(
% 0.11/0.41 ~sQ7_spl|sQ55_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f909,f547,f918])).
% 0.11/0.41 fof(f922,plain,(
% 0.11/0.41 ~ssList(nil)|~ssList(nil)|app(app(sK7_skl(nil,nil),nil),sK8_skl(nil,nil))=nil),
% 0.11/0.41 inference(resolution,[status(thm)],[f136,f821])).
% 0.11/0.41 fof(f923,plain,(
% 0.11/0.41 ~ssList(sK49_skl)|~ssList(sK49_skl)|app(app(sK7_skl(sK49_skl,sK49_skl),sK49_skl),sK8_skl(sK49_skl,sK49_skl))=sK49_skl),
% 0.11/0.41 inference(resolution,[status(thm)],[f136,f677])).
% 0.11/0.41 fof(f924,plain,(
% 0.11/0.41 ~ssList(sK50_skl)|~ssList(sK50_skl)|app(app(sK7_skl(sK50_skl,sK50_skl),sK50_skl),sK8_skl(sK50_skl,sK50_skl))=sK50_skl),
% 0.11/0.41 inference(resolution,[status(thm)],[f136,f678])).
% 0.11/0.41 fof(f925,definition,(
% 0.11/0.41 sQ56_spl <=> (app(app(sK7_skl(nil,nil),nil),sK8_skl(nil,nil))=nil)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f928,plain,(
% 0.11/0.41 ~sQ22_spl|sQ56_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f922,f625,f925])).
% 0.11/0.41 fof(f929,definition,(
% 0.11/0.41 sQ57_spl <=> (app(app(sK7_skl(sK49_skl,sK49_skl),sK49_skl),sK8_skl(sK49_skl,sK49_skl))=sK49_skl)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f932,plain,(
% 0.11/0.41 ~sQ9_spl|sQ57_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f923,f564,f929])).
% 0.11/0.41 fof(f933,definition,(
% 0.11/0.41 sQ58_spl <=> (app(app(sK7_skl(sK50_skl,sK50_skl),sK50_skl),sK8_skl(sK50_skl,sK50_skl))=sK50_skl)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f936,plain,(
% 0.11/0.41 ~sQ7_spl|sQ58_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f924,f547,f933])).
% 0.11/0.42 fof(f937,plain,(
% 0.11/0.42 ~ssList(sK49_skl)|~ssList(nil)|app(app(sK7_skl(nil,sK49_skl),nil),sK8_skl(nil,sK49_skl))=sK49_skl),
% 0.11/0.42 inference(resolution,[status(thm)],[f890,f136])).
% 0.11/0.42 fof(f938,plain,(
% 0.11/0.42 ~ssList(sK49_skl)|~ssList(nil)|ssList(sK8_skl(nil,sK49_skl))),
% 0.11/0.42 inference(resolution,[status(thm)],[f890,f135])).
% 0.11/0.42 fof(f939,plain,(
% 0.11/0.42 ~ssList(sK49_skl)|~ssList(nil)|ssList(sK7_skl(nil,sK49_skl))),
% 0.11/0.42 inference(resolution,[status(thm)],[f890,f134])).
% 0.11/0.42 fof(f940,definition,(
% 0.11/0.42 sQ59_spl <=> (app(app(sK7_skl(nil,sK49_skl),nil),sK8_skl(nil,sK49_skl))=sK49_skl)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f943,plain,(
% 0.11/0.42 ~sQ9_spl|~sQ22_spl|sQ59_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f937,f564,f625,f940])).
% 0.11/0.42 fof(f944,definition,(
% 0.11/0.42 sQ60_spl <=> (ssList(sK8_skl(nil,sK49_skl)))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f947,plain,(
% 0.11/0.42 ~sQ9_spl|~sQ22_spl|sQ60_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f938,f564,f625,f944])).
% 0.11/0.42 fof(f948,definition,(
% 0.11/0.42 sQ61_spl <=> (ssList(sK7_skl(nil,sK49_skl)))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f951,plain,(
% 0.11/0.42 ~sQ9_spl|~sQ22_spl|sQ61_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f939,f564,f625,f948])).
% 0.11/0.42 fof(f952,plain,(
% 0.11/0.42 ~ssList(sK50_skl)|~ssList(nil)|app(app(sK7_skl(nil,sK50_skl),nil),sK8_skl(nil,sK50_skl))=sK50_skl),
% 0.11/0.42 inference(resolution,[status(thm)],[f891,f136])).
% 0.11/0.42 fof(f953,plain,(
% 0.11/0.42 ~ssList(sK50_skl)|~ssList(nil)|ssList(sK8_skl(nil,sK50_skl))),
% 0.11/0.42 inference(resolution,[status(thm)],[f891,f135])).
% 0.11/0.42 fof(f954,plain,(
% 0.11/0.42 ~ssList(sK50_skl)|~ssList(nil)|ssList(sK7_skl(nil,sK50_skl))),
% 0.11/0.42 inference(resolution,[status(thm)],[f891,f134])).
% 0.11/0.42 fof(f955,definition,(
% 0.11/0.42 sQ62_spl <=> (app(app(sK7_skl(nil,sK50_skl),nil),sK8_skl(nil,sK50_skl))=sK50_skl)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f958,plain,(
% 0.11/0.42 ~sQ7_spl|~sQ22_spl|sQ62_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f952,f547,f625,f955])).
% 0.11/0.42 fof(f959,definition,(
% 0.11/0.42 sQ63_spl <=> (ssList(sK8_skl(nil,sK50_skl)))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f962,plain,(
% 0.11/0.42 ~sQ7_spl|~sQ22_spl|sQ63_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f953,f547,f625,f959])).
% 0.11/0.42 fof(f963,definition,(
% 0.11/0.42 sQ64_spl <=> (ssList(sK7_skl(nil,sK50_skl)))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f966,plain,(
% 0.11/0.42 ~sQ7_spl|~sQ22_spl|sQ64_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f954,f547,f625,f963])).
% 0.11/0.42 fof(f972,plain,(
% 0.11/0.42 ~singletonP(sK5_skl(sK50_skl,sK50_skl))|ssItem(sK4_skl(sK5_skl(sK50_skl,sK50_skl)))|~sQ27_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f686,f116])).
% 0.11/0.42 fof(f975,definition,(
% 0.11/0.42 sQ65_spl <=> (singletonP(sK5_skl(sK50_skl,sK50_skl)))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f978,definition,(
% 0.11/0.42 sQ66_spl <=> (ssItem(sK4_skl(sK5_skl(sK50_skl,sK50_skl))))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f981,plain,(
% 0.11/0.42 ~sQ65_spl|sQ66_spl|~sQ27_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f972,f975,f978,f685])).
% 0.11/0.42 fof(f987,plain,(
% 0.11/0.42 ~singletonP(sK5_skl(sK49_skl,sK49_skl))|ssItem(sK4_skl(sK5_skl(sK49_skl,sK49_skl)))|~sQ28_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f690,f116])).
% 0.11/0.42 fof(f990,definition,(
% 0.11/0.42 sQ67_spl <=> (singletonP(sK5_skl(sK49_skl,sK49_skl)))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f993,definition,(
% 0.11/0.42 sQ68_spl <=> (ssItem(sK4_skl(sK5_skl(sK49_skl,sK49_skl))))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f996,plain,(
% 0.11/0.42 ~sQ67_spl|sQ68_spl|~sQ28_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f987,f990,f993,f689])).
% 0.11/0.42 fof(f1004,plain,(
% 0.11/0.42 ~ssList(sK49_skl)|~rearsegP(sK50_skl,sK49_skl)|~rearsegP(sK49_skl,sK49_skl)|~sQ2_spl|~sQ4_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f608,f455])).
% 0.11/0.42 fof(f1006,plain,(
% 0.11/0.42 ~sQ9_spl|~sQ5_spl|~sQ24_spl|~sQ2_spl|~sQ4_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f1004,f564,f458,f659,f447,f454])).
% 0.11/0.42 fof(f1060,plain,(
% 0.11/0.42 sP0_prd(sK50_skl,sK50_skl)|~sQ32_spl|~sQ0_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f771,f498])).
% 0.11/0.42 fof(f1061,plain,(
% 0.11/0.42 $false|~sQ32_spl|~sQ0_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1060,f518])).
% 0.11/0.42 fof(f1062,plain,(
% 0.11/0.42 ~sQ32_spl|~sQ0_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f1061])).
% 0.11/0.42 fof(f1063,plain,(
% 0.11/0.42 $false),
% 0.11/0.42 inference(sat_refutation,[status(thm)],[f446,f450,f457,f461,f538,f550,f567,f616,f618,f620,f628,f633,f635,f665,f669,f672,f688,f692,f698,f702,f731,f773,f789,f801,f814,f818,f835,f839,f846,f849,f851,f860,f864,f874,f878,f884,f888,f898,f902,f906,f913,f917,f921,f928,f932,f936,f943,f947,f951,f958,f962,f966,f981,f996,f1006,f1062])).
% 0.11/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.44 % Elapsed time: 0.059674 seconds
% 0.11/0.44 % CPU time: 0.191684 seconds
% 0.11/0.44 % Total memory used: 80.354 MB
% 0.11/0.44 % Net memory used: 80.194 MB
%------------------------------------------------------------------------------