%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC083+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:41:32 PM UTC 2026
% Result : Theorem 91.77s 11.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC083+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Mon Sep 21 07:53:52 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.32 % Drodi V4.1.1
% 91.77/11.94 % Refutation found
% 91.77/11.94 % SZS status Theorem for theBenchmark: Theorem is valid
% 91.77/11.94 % SZS output start CNFRefutation for theBenchmark
% 91.77/11.94 fof(f5,axiom,(
% 91.77/11.94 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 91.77/11.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 91.77/11.94 fof(f7,axiom,(
% 91.77/11.94 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 91.77/11.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 91.77/11.94 fof(f15,axiom,(
% 91.77/11.94 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 91.77/11.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 91.77/11.94 fof(f17,axiom,(
% 91.77/11.94 ssList(nil) ),
% 91.77/11.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 91.77/11.94 fof(f26,axiom,(
% 91.77/11.94 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 91.77/11.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 91.77/11.94 fof(f28,axiom,(
% 91.77/11.94 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 91.77/11.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 91.77/11.94 fof(f56,axiom,(
% 91.77/11.94 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( segmentP(U,V)=> segmentP(app(app(W,U),X),V) ) ) )) )) )) )),
% 91.77/11.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 91.77/11.94 fof(f82,axiom,(
% 91.77/11.94 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> app(app(U,V),W) = app(U,app(V,W)) ) )) )) )),
% 91.77/11.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 91.77/11.94 fof(f84,axiom,(
% 91.77/11.94 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 91.77/11.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 91.77/11.94 fof(f96,conjecture,(
% 91.77/11.94 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| (! [Z] :( ssList(Z)=> (! [X1] :( ssList(X1)=> (! [X2] :( ~ ssList(X2)| app(app(Z,X1),X2) != W| app(Z,X2) != X ) )) )) )) )) )) )) )),
% 91.77/11.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 91.77/11.94 fof(f97,negated_conjecture,(
% 91.77/11.94 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| (! [Z] :( ssList(Z)=> (! [X1] :( ssList(X1)=> (! [X2] :( ~ ssList(X2)| app(app(Z,X1),X2) != W| app(Z,X2) != X ) )) )) )) )) )) )) ))),
% 91.77/11.94 inference(negated_conjecture,[status(cth)],[f96])).
% 91.77/11.94 fof(f119,plain,(
% 91.77/11.94 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 91.77/11.94 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 91.77/11.94 fof(f120,plain,(
% 91.77/11.94 ![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)))))))),
% 91.77/11.94 inference(NNF_transformation,[status(thm)],[f119])).
% 91.77/11.94 fof(f121,plain,(
% 91.77/11.94 ![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)))))))),
% 91.77/11.94 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(W,sK5_skl(V,U))],[f120])).
% 91.77/11.94 fof(f122,plain,(
% 91.77/11.94 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sK5_skl(X1,X0)))),
% 91.77/11.94 inference(cnf_transformation,[status(thm)],[f121])).
% 91.77/11.94 fof(f123,plain,(
% 91.77/11.94 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sK5_skl(X1,X0))=X0)),
% 91.77/11.94 inference(cnf_transformation,[status(thm)],[f121])).
% 91.77/11.94 fof(f124,plain,(
% 91.77/11.94 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|frontsegP(X0,X1)|~ssList(X2)|~app(X1,X2)=X0)),
% 91.77/11.94 inference(cnf_transformation,[status(thm)],[f121])).
% 91.77/11.94 fof(f131,plain,(
% 91.77/11.94 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 91.77/11.94 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 91.77/11.94 fof(f132,plain,(
% 91.77/11.94 ![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)))))))))),
% 91.77/11.94 inference(NNF_transformation,[status(thm)],[f131])).
% 91.77/11.94 fof(f133,plain,(
% 91.77/11.94 ![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)))))))))),
% 91.77/11.95 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 91.77/11.95 fof(f137,plain,(
% 91.77/11.95 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f133])).
% 91.77/11.95 fof(f217,plain,(
% 91.77/11.95 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 91.77/11.95 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 91.77/11.95 fof(f218,plain,(
% 91.77/11.95 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 91.77/11.95 inference(NNF_transformation,[status(thm)],[f217])).
% 91.77/11.95 fof(f220,plain,(
% 91.77/11.95 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f218])).
% 91.77/11.95 fof(f223,plain,(
% 91.77/11.95 ssList(nil)),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f17])).
% 91.77/11.95 fof(f244,plain,(
% 91.77/11.95 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 91.77/11.95 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 91.77/11.95 fof(f245,plain,(
% 91.77/11.95 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f244])).
% 91.77/11.95 fof(f248,plain,(
% 91.77/11.95 ![U]: (~ssList(U)|app(nil,U)=U)),
% 91.77/11.95 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 91.77/11.95 fof(f249,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f248])).
% 91.77/11.95 fof(f320,plain,(
% 91.77/11.95 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|(~segmentP(U,V)|segmentP(app(app(W,U),X),V)))))))))),
% 91.77/11.95 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 91.77/11.95 fof(f321,plain,(
% 91.77/11.95 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~segmentP(X0,X1)|segmentP(app(app(X2,X0),X3),X1))),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f320])).
% 91.77/11.95 fof(f381,plain,(
% 91.77/11.95 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|app(app(U,V),W)=app(U,app(V,W)))))))),
% 91.77/11.95 inference(pre_NNF_transformation,[status(thm)],[f82])).
% 91.77/11.95 fof(f382,plain,(
% 91.77/11.95 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X0,X1),X2)=app(X0,app(X1,X2)))),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f381])).
% 91.77/11.95 fof(f388,plain,(
% 91.77/11.95 ![U]: (~ssList(U)|app(U,nil)=U)),
% 91.77/11.95 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 91.77/11.95 fof(f389,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f388])).
% 91.77/11.95 fof(f415,plain,(
% 91.77/11.95 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((((ssList(X)&V=X)&U=W)&neq(V,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(?[Z]: (ssList(Z)&(?[X1]: (ssList(X1)&(?[X2]: ((ssList(X2)&app(app(Z,X1),X2)=W)&app(Z,X2)=X))))))))))))))),
% 91.77/11.95 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 91.77/11.95 fof(f416,plain,(
% 91.77/11.95 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(((((ssList(sK50_skl)&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&neq(sK48_skl,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sK48_skl,Y))|~segmentP(sK47_skl,Y))))&(ssList(sK51_skl)&(ssList(sK52_skl)&((ssList(sK53_skl)&app(app(sK51_skl,sK52_skl),sK53_skl)=sK49_skl)&app(sK51_skl,sK53_skl)=sK50_skl)))))))),
% 91.77/11.95 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl,sK52_skl,sK53_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Z,sK51_skl),skolemize(X1,sK52_skl),skolemize(X2,sK53_skl)],[f415])).
% 91.77/11.95 fof(f417,plain,(
% 91.77/11.95 ssList(sK47_skl)),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f416])).
% 91.77/11.95 fof(f418,plain,(
% 91.77/11.95 ssList(sK48_skl)),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f416])).
% 91.77/11.95 fof(f421,plain,(
% 91.77/11.95 sK48_skl=sK50_skl),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f416])).
% 91.77/11.95 fof(f422,plain,(
% 91.77/11.95 sK47_skl=sK49_skl),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f416])).
% 91.77/11.95 fof(f423,plain,(
% 91.77/11.95 neq(sK48_skl,nil)),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f416])).
% 91.77/11.95 fof(f424,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0))),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f416])).
% 91.77/11.95 fof(f425,plain,(
% 91.77/11.95 ssList(sK51_skl)),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f416])).
% 91.77/11.95 fof(f426,plain,(
% 91.77/11.95 ssList(sK52_skl)),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f416])).
% 91.77/11.95 fof(f427,plain,(
% 91.77/11.95 ssList(sK53_skl)),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f416])).
% 91.77/11.95 fof(f428,plain,(
% 91.77/11.95 app(app(sK51_skl,sK52_skl),sK53_skl)=sK49_skl),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f416])).
% 91.77/11.95 fof(f429,plain,(
% 91.77/11.95 app(sK51_skl,sK53_skl)=sK50_skl),
% 91.77/11.95 inference(cnf_transformation,[status(thm)],[f416])).
% 91.77/11.95 fof(f434,plain,(
% 91.77/11.95 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 91.77/11.95 inference(destructive_equality_resolution,[status(thm)],[f124])).
% 91.77/11.95 fof(f436,plain,(
% 91.77/11.95 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 91.77/11.95 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 91.77/11.95 fof(f448,plain,(
% 91.77/11.95 ![X0,X1]: (~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 91.77/11.95 inference(backward_subsumption_resolution,[status(thm)],[f434,f245])).
% 91.77/11.95 fof(f464,plain,(
% 91.77/11.95 app(app(sK51_skl,sK52_skl),sK53_skl)=sK47_skl),
% 91.77/11.95 inference(forward_demodulation,[status(thm)],[f422,f428])).
% 91.77/11.95 fof(f465,plain,(
% 91.77/11.95 app(sK51_skl,sK53_skl)=sK48_skl),
% 91.77/11.95 inference(forward_demodulation,[status(thm)],[f421,f429])).
% 91.77/11.95 fof(f466,plain,(
% 91.77/11.95 app(nil,sK53_skl)=sK53_skl),
% 91.77/11.95 inference(resolution,[status(thm)],[f249,f427])).
% 91.77/11.95 fof(f470,plain,(
% 91.77/11.95 app(nil,sK48_skl)=sK48_skl),
% 91.77/11.95 inference(resolution,[status(thm)],[f249,f418])).
% 91.77/11.95 fof(f472,plain,(
% 91.77/11.95 ![X0]: (~ssList(app(sK48_skl,X0))|~ssList(sK48_skl)|segmentP(app(app(nil,sK48_skl),X0),sK48_skl)|~ssList(nil)|~ssList(X0))),
% 91.77/11.95 inference(paramodulation,[status(thm)],[f470,f436])).
% 91.77/11.95 fof(f475,plain,(
% 91.77/11.95 ![X0]: (~ssList(app(sK53_skl,X0))|~ssList(sK53_skl)|segmentP(app(app(nil,sK53_skl),X0),sK53_skl)|~ssList(nil)|~ssList(X0))),
% 91.77/11.95 inference(paramodulation,[status(thm)],[f466,f436])).
% 91.77/11.95 fof(f477,plain,(
% 91.77/11.95 ![X0]: (~ssList(app(sK48_skl,X0))|~ssList(sK48_skl)|segmentP(app(sK48_skl,X0),sK48_skl)|~ssList(nil)|~ssList(X0))),
% 91.77/11.95 inference(forward_demodulation,[status(thm)],[f470,f472])).
% 91.77/11.95 fof(f478,plain,(
% 91.77/11.95 ![X0]: (~ssList(sK48_skl)|segmentP(app(sK48_skl,X0),sK48_skl)|~ssList(nil)|~ssList(X0))),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f477,f245])).
% 91.77/11.95 fof(f483,plain,(
% 91.77/11.95 ![X0]: (~ssList(app(sK53_skl,X0))|~ssList(sK53_skl)|segmentP(app(sK53_skl,X0),sK53_skl)|~ssList(nil)|~ssList(X0))),
% 91.77/11.95 inference(forward_demodulation,[status(thm)],[f466,f475])).
% 91.77/11.95 fof(f484,plain,(
% 91.77/11.95 ![X0]: (~ssList(sK53_skl)|segmentP(app(sK53_skl,X0),sK53_skl)|~ssList(nil)|~ssList(X0))),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f483,f245])).
% 91.77/11.95 fof(f494,plain,(
% 91.77/11.95 app(sK53_skl,nil)=sK53_skl),
% 91.77/11.95 inference(resolution,[status(thm)],[f389,f427])).
% 91.77/11.95 fof(f496,plain,(
% 91.77/11.95 app(sK52_skl,nil)=sK52_skl),
% 91.77/11.95 inference(resolution,[status(thm)],[f389,f426])).
% 91.77/11.95 fof(f497,plain,(
% 91.77/11.95 app(sK51_skl,nil)=sK51_skl),
% 91.77/11.95 inference(resolution,[status(thm)],[f389,f425])).
% 91.77/11.95 fof(f498,plain,(
% 91.77/11.95 app(sK48_skl,nil)=sK48_skl),
% 91.77/11.95 inference(resolution,[status(thm)],[f389,f418])).
% 91.77/11.95 fof(f499,plain,(
% 91.77/11.95 app(sK47_skl,nil)=sK47_skl),
% 91.77/11.95 inference(resolution,[status(thm)],[f389,f417])).
% 91.77/11.95 fof(f510,plain,(
% 91.77/11.95 ~ssList(sK48_skl)|~segmentP(sK48_skl,sK48_skl)|~segmentP(sK47_skl,sK48_skl)),
% 91.77/11.95 inference(resolution,[status(thm)],[f424,f423])).
% 91.77/11.95 fof(f511,plain,(
% 91.77/11.95 ~segmentP(sK48_skl,sK48_skl)|~segmentP(sK47_skl,sK48_skl)),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f510,f418])).
% 91.77/11.95 fof(f512,plain,(
% 91.77/11.95 ![X0]: (~ssList(sK48_skl)|segmentP(app(sK48_skl,X0),sK48_skl)|~ssList(X0))),
% 91.77/11.95 inference(resolution,[status(thm)],[f478,f223])).
% 91.77/11.95 fof(f513,plain,(
% 91.77/11.95 ![X0]: (segmentP(app(sK48_skl,X0),sK48_skl)|~ssList(X0))),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f512,f418])).
% 91.77/11.95 fof(f514,plain,(
% 91.77/11.95 segmentP(sK48_skl,sK48_skl)|~ssList(nil)),
% 91.77/11.95 inference(paramodulation,[status(thm)],[f498,f513])).
% 91.77/11.95 fof(f515,plain,(
% 91.77/11.95 ~segmentP(sK47_skl,sK48_skl)),
% 91.77/11.95 inference(backward_subsumption_resolution,[status(thm)],[f511,f516])).
% 91.77/11.95 fof(f516,plain,(
% 91.77/11.95 segmentP(sK48_skl,sK48_skl)),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f514,f223])).
% 91.77/11.95 fof(f527,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|~ssList(nil)|X0=nil|~ssList(X0)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0))),
% 91.77/11.95 inference(resolution,[status(thm)],[f220,f424])).
% 91.77/11.95 fof(f529,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|~ssList(nil)|X0=nil|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0))),
% 91.77/11.95 inference(duplicate_literals_removal,[status(thm)],[f527])).
% 91.77/11.95 fof(f530,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|X0=nil|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0))),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f529,f223])).
% 91.77/11.95 fof(f533,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|ssList(app(X0,sK52_skl)))),
% 91.77/11.95 inference(resolution,[status(thm)],[f245,f426])).
% 91.77/11.95 fof(f544,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|frontsegP(app(X0,nil),X0))),
% 91.77/11.95 inference(resolution,[status(thm)],[f448,f223])).
% 91.77/11.95 fof(f660,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|~frontsegP(X0,sK53_skl)|ssList(sK5_skl(sK53_skl,X0)))),
% 91.77/11.95 inference(resolution,[status(thm)],[f122,f427])).
% 91.77/11.95 fof(f664,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|~frontsegP(X0,sK48_skl)|ssList(sK5_skl(sK48_skl,X0)))),
% 91.77/11.95 inference(resolution,[status(thm)],[f122,f418])).
% 91.77/11.95 fof(f665,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|~frontsegP(X0,sK47_skl)|ssList(sK5_skl(sK47_skl,X0)))),
% 91.77/11.95 inference(resolution,[status(thm)],[f122,f417])).
% 91.77/11.95 fof(f667,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|~frontsegP(X0,sK53_skl)|app(sK53_skl,sK5_skl(sK53_skl,X0))=X0)),
% 91.77/11.95 inference(resolution,[status(thm)],[f123,f427])).
% 91.77/11.95 fof(f671,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|~frontsegP(X0,sK48_skl)|app(sK48_skl,sK5_skl(sK48_skl,X0))=X0)),
% 91.77/11.95 inference(resolution,[status(thm)],[f123,f418])).
% 91.77/11.95 fof(f672,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|~frontsegP(X0,sK47_skl)|app(sK47_skl,sK5_skl(sK47_skl,X0))=X0)),
% 91.77/11.95 inference(resolution,[status(thm)],[f123,f417])).
% 91.77/11.95 fof(f704,plain,(
% 91.77/11.95 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~segmentP(X0,sK53_skl)|segmentP(app(app(X1,X0),X2),sK53_skl))),
% 91.77/11.95 inference(resolution,[status(thm)],[f321,f427])).
% 91.77/11.95 fof(f1081,plain,(
% 91.77/11.95 ![X0,X1]: (~ssList(X0)|~ssList(X1)|app(app(X0,sK52_skl),X1)=app(X0,app(sK52_skl,X1)))),
% 91.77/11.95 inference(resolution,[status(thm)],[f382,f426])).
% 91.77/11.95 fof(f1149,plain,(
% 91.77/11.95 ssList(app(sK51_skl,sK52_skl))),
% 91.77/11.95 inference(resolution,[status(thm)],[f533,f425])).
% 91.77/11.95 fof(f1203,plain,(
% 91.77/11.95 ~frontsegP(sK53_skl,sK53_skl)|app(sK53_skl,sK5_skl(sK53_skl,sK53_skl))=sK53_skl),
% 91.77/11.95 inference(resolution,[status(thm)],[f667,f427])).
% 91.77/11.95 fof(f1229,plain,(
% 91.77/11.95 ~frontsegP(sK48_skl,sK48_skl)|app(sK48_skl,sK5_skl(sK48_skl,sK48_skl))=sK48_skl),
% 91.77/11.95 inference(resolution,[status(thm)],[f671,f418])).
% 91.77/11.95 fof(f1236,plain,(
% 91.77/11.95 ~frontsegP(sK47_skl,sK47_skl)|app(sK47_skl,sK5_skl(sK47_skl,sK47_skl))=sK47_skl),
% 91.77/11.95 inference(resolution,[status(thm)],[f672,f417])).
% 91.77/11.95 fof(f1777,plain,(
% 91.77/11.95 frontsegP(app(sK53_skl,nil),sK53_skl)),
% 91.77/11.95 inference(resolution,[status(thm)],[f544,f427])).
% 91.77/11.95 fof(f1781,plain,(
% 91.77/11.95 frontsegP(app(sK48_skl,nil),sK48_skl)),
% 91.77/11.95 inference(resolution,[status(thm)],[f544,f418])).
% 91.77/11.95 fof(f1782,plain,(
% 91.77/11.95 frontsegP(app(sK47_skl,nil),sK47_skl)),
% 91.77/11.95 inference(resolution,[status(thm)],[f544,f417])).
% 91.77/11.95 fof(f1783,plain,(
% 91.77/11.95 app(sK53_skl,sK5_skl(sK53_skl,sK53_skl))=sK53_skl),
% 91.77/11.95 inference(backward_subsumption_resolution,[status(thm)],[f1203,f1784])).
% 91.77/11.95 fof(f1784,plain,(
% 91.77/11.95 frontsegP(sK53_skl,sK53_skl)),
% 91.77/11.95 inference(forward_demodulation,[status(thm)],[f494,f1777])).
% 91.77/11.95 fof(f1790,plain,(
% 91.77/11.95 app(sK48_skl,sK5_skl(sK48_skl,sK48_skl))=sK48_skl),
% 91.77/11.95 inference(backward_subsumption_resolution,[status(thm)],[f1229,f1791])).
% 91.77/11.95 fof(f1791,plain,(
% 91.77/11.95 frontsegP(sK48_skl,sK48_skl)),
% 91.77/11.95 inference(forward_demodulation,[status(thm)],[f498,f1781])).
% 91.77/11.95 fof(f1792,plain,(
% 91.77/11.95 app(sK47_skl,sK5_skl(sK47_skl,sK47_skl))=sK47_skl),
% 91.77/11.95 inference(backward_subsumption_resolution,[status(thm)],[f1236,f1793])).
% 91.77/11.95 fof(f1793,plain,(
% 91.77/11.95 frontsegP(sK47_skl,sK47_skl)),
% 91.77/11.95 inference(forward_demodulation,[status(thm)],[f499,f1782])).
% 91.77/11.95 fof(f4002,plain,(
% 91.77/11.95 ~ssList(sK53_skl)|ssList(sK5_skl(sK53_skl,sK53_skl))),
% 91.77/11.95 inference(resolution,[status(thm)],[f660,f1784])).
% 91.77/11.95 fof(f4011,plain,(
% 91.77/11.95 ssList(sK5_skl(sK53_skl,sK53_skl))),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f4002,f427])).
% 91.77/11.95 fof(f4264,plain,(
% 91.77/11.95 ![X0]: (segmentP(app(sK53_skl,X0),sK53_skl)|~ssList(nil)|~ssList(X0))),
% 91.77/11.95 inference(resolution,[status(thm)],[f484,f427])).
% 91.77/11.95 fof(f4265,plain,(
% 91.77/11.95 ![X0]: (segmentP(app(sK53_skl,X0),sK53_skl)|~ssList(X0))),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f4264,f223])).
% 91.77/11.95 fof(f4266,plain,(
% 91.77/11.95 ~ssList(sK48_skl)|ssList(sK5_skl(sK48_skl,sK48_skl))),
% 91.77/11.95 inference(resolution,[status(thm)],[f664,f1791])).
% 91.77/11.95 fof(f4275,plain,(
% 91.77/11.95 ssList(sK5_skl(sK48_skl,sK48_skl))),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f4266,f418])).
% 91.77/11.95 fof(f4289,plain,(
% 91.77/11.95 segmentP(sK53_skl,sK53_skl)|~ssList(sK5_skl(sK53_skl,sK53_skl))),
% 91.77/11.95 inference(paramodulation,[status(thm)],[f1783,f4265])).
% 91.77/11.95 fof(f4294,plain,(
% 91.77/11.95 segmentP(sK53_skl,sK53_skl)),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f4289,f4011])).
% 91.77/11.95 fof(f4466,plain,(
% 91.77/11.95 ~ssList(sK47_skl)|ssList(sK5_skl(sK47_skl,sK47_skl))),
% 91.77/11.95 inference(resolution,[status(thm)],[f665,f1793])).
% 91.77/11.95 fof(f4475,plain,(
% 91.77/11.95 ssList(sK5_skl(sK47_skl,sK47_skl))),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f4466,f417])).
% 91.77/11.95 fof(f4517,plain,(
% 91.77/11.95 ![X0,X1]: (~ssList(sK53_skl)|~ssList(X0)|~ssList(X1)|segmentP(app(app(X0,sK53_skl),X1),sK53_skl))),
% 91.77/11.95 inference(resolution,[status(thm)],[f704,f4294])).
% 91.77/11.95 fof(f4521,plain,(
% 91.77/11.95 ![X0,X1]: (~ssList(X0)|~ssList(X1)|segmentP(app(app(X0,sK53_skl),X1),sK53_skl))),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f4517,f427])).
% 91.77/11.95 fof(f4535,plain,(
% 91.77/11.95 ![X0]: (~ssList(app(sK51_skl,sK52_skl))|~ssList(X0)|segmentP(app(sK47_skl,X0),sK53_skl))),
% 91.77/11.95 inference(paramodulation,[status(thm)],[f464,f4521])).
% 91.77/11.95 fof(f4537,plain,(
% 91.77/11.95 ![X0]: (~ssList(sK51_skl)|~ssList(X0)|segmentP(app(sK48_skl,X0),sK53_skl))),
% 91.77/11.95 inference(paramodulation,[status(thm)],[f465,f4521])).
% 91.77/11.95 fof(f4541,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|segmentP(app(sK47_skl,X0),sK53_skl))),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f4535,f1149])).
% 91.77/11.95 fof(f4542,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|segmentP(app(sK48_skl,X0),sK53_skl))),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f4537,f425])).
% 91.77/11.95 fof(f4551,plain,(
% 91.77/11.95 ~ssList(sK5_skl(sK47_skl,sK47_skl))|segmentP(sK47_skl,sK53_skl)),
% 91.77/11.95 inference(paramodulation,[status(thm)],[f1792,f4541])).
% 91.77/11.95 fof(f4556,plain,(
% 91.77/11.95 segmentP(sK47_skl,sK53_skl)),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f4551,f4475])).
% 91.77/11.95 fof(f4583,plain,(
% 91.77/11.95 ~ssList(sK5_skl(sK48_skl,sK48_skl))|segmentP(sK48_skl,sK53_skl)),
% 91.77/11.95 inference(paramodulation,[status(thm)],[f1790,f4542])).
% 91.77/11.95 fof(f4588,plain,(
% 91.77/11.95 segmentP(sK48_skl,sK53_skl)),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f4583,f4275])).
% 91.77/11.95 fof(f4589,plain,(
% 91.77/11.95 ~ssList(sK53_skl)|sK53_skl=nil|~segmentP(sK47_skl,sK53_skl)),
% 91.77/11.95 inference(resolution,[status(thm)],[f4588,f530])).
% 91.77/11.95 fof(f4598,plain,(
% 91.77/11.95 sK53_skl=nil|~segmentP(sK47_skl,sK53_skl)),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f4589,f427])).
% 91.77/11.95 fof(f4607,plain,(
% 91.77/11.95 sK53_skl=nil),
% 91.77/11.95 inference(resolution,[status(thm)],[f4598,f4556])).
% 91.77/11.95 fof(f4952,plain,(
% 91.77/11.95 app(sK51_skl,sK53_skl)=sK51_skl),
% 91.77/11.95 inference(backward_demodulation,[status(thm)],[f4607,f497])).
% 91.77/11.95 fof(f4953,plain,(
% 91.77/11.95 app(sK52_skl,sK53_skl)=sK52_skl),
% 91.77/11.95 inference(backward_demodulation,[status(thm)],[f4607,f496])).
% 91.77/11.95 fof(f7190,plain,(
% 91.77/11.95 app(app(sK48_skl,sK52_skl),sK53_skl)=sK47_skl),
% 91.77/11.95 inference(backward_demodulation,[status(thm)],[f7345,f464])).
% 91.77/11.95 fof(f7345,plain,(
% 91.77/11.95 sK48_skl=sK51_skl),
% 91.77/11.95 inference(forward_demodulation,[status(thm)],[f465,f4952])).
% 91.77/11.95 fof(f10837,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|app(app(X0,sK52_skl),sK53_skl)=app(X0,app(sK52_skl,sK53_skl)))),
% 91.77/11.95 inference(resolution,[status(thm)],[f1081,f427])).
% 91.77/11.95 fof(f10841,plain,(
% 91.77/11.95 ![X0]: (~ssList(X0)|app(app(X0,sK52_skl),sK53_skl)=app(X0,sK52_skl))),
% 91.77/11.95 inference(forward_demodulation,[status(thm)],[f4953,f10837])).
% 91.77/11.95 fof(f10844,plain,(
% 91.77/11.95 app(app(sK48_skl,sK52_skl),sK53_skl)=app(sK48_skl,sK52_skl)),
% 91.77/11.95 inference(resolution,[status(thm)],[f10841,f418])).
% 91.77/11.95 fof(f10878,plain,(
% 91.77/11.95 sK47_skl=app(sK48_skl,sK52_skl)),
% 91.77/11.95 inference(forward_demodulation,[status(thm)],[f7190,f10844])).
% 91.77/11.95 fof(f10929,plain,(
% 91.77/11.95 segmentP(sK47_skl,sK48_skl)|~ssList(sK52_skl)),
% 91.77/11.95 inference(paramodulation,[status(thm)],[f10878,f513])).
% 91.77/11.95 fof(f10933,plain,(
% 91.77/11.95 ~ssList(sK52_skl)),
% 91.77/11.95 inference(forward_subsumption_resolution,[status(thm)],[f10929,f515])).
% 91.77/11.95 fof(f10934,plain,(
% 91.77/11.95 $false),
% 91.77/11.98 inference(backward_subsumption_resolution,[status(thm)],[f426,f10933])).
% 91.77/11.98 % SZS output end CNFRefutation for theBenchmark.p
% 25.74/12.03 % Elapsed time: 11.714088 seconds
% 25.74/12.03 % CPU time: 92.709392 seconds
% 25.74/12.03 % Total memory used: 638.691 MB
% 25.74/12.03 % Net memory used: 596.259 MB
%------------------------------------------------------------------------------