%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC075+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 : 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 02:41:31 PM UTC 2026
% Result : Theorem 0.08s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC075+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 07:56:02 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.43 % Refutation found
% 0.08/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.43 fof(f7,axiom,(
% 0.08/0.43 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.08/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f15,axiom,(
% 0.08/0.43 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.08/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f17,axiom,(
% 0.08/0.43 ssList(nil) ),
% 0.08/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f26,axiom,(
% 0.08/0.43 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 0.08/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f28,axiom,(
% 0.08/0.43 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.08/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f55,axiom,(
% 0.08/0.43 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.08/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f84,axiom,(
% 0.08/0.43 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.08/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f96,conjecture,(
% 0.08/0.43 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| (! [Z] :( ssList(Z)=> (! [X1] :( ~ ssList(X1)| app(Z,X1) != X| app(X1,Z) != W ) )))| ( nil = V& nil = U ) ) )) )) )) )),
% 0.08/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f97,negated_conjecture,(
% 0.08/0.43 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| (! [Z] :( ssList(Z)=> (! [X1] :( ~ ssList(X1)| app(Z,X1) != X| app(X1,Z) != W ) )))| ( nil = V& nil = U ) ) )) )) )) ))),
% 0.08/0.43 inference(negated_conjecture,[status(cth)],[f96])).
% 0.08/0.43 fof(f131,plain,(
% 0.08/0.43 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.08/0.43 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.08/0.43 fof(f132,plain,(
% 0.08/0.43 ![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)))))))))),
% 0.08/0.43 inference(NNF_transformation,[status(thm)],[f131])).
% 0.08/0.43 fof(f133,plain,(
% 0.08/0.43 ![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)))))))))),
% 0.08/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 0.08/0.43 fof(f137,plain,(
% 0.08/0.43 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.08/0.43 inference(cnf_transformation,[status(thm)],[f133])).
% 0.08/0.43 fof(f217,plain,(
% 0.08/0.43 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.08/0.43 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.08/0.43 fof(f218,plain,(
% 0.08/0.43 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.08/0.43 inference(NNF_transformation,[status(thm)],[f217])).
% 0.08/0.43 fof(f220,plain,(
% 0.08/0.43 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.08/0.43 inference(cnf_transformation,[status(thm)],[f218])).
% 0.08/0.43 fof(f223,plain,(
% 0.08/0.43 ssList(nil)),
% 0.08/0.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/0.43 fof(f244,plain,(
% 0.08/0.43 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 0.08/0.43 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.08/0.43 fof(f245,plain,(
% 0.08/0.43 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 0.08/0.43 inference(cnf_transformation,[status(thm)],[f244])).
% 0.08/0.43 fof(f248,plain,(
% 0.08/0.43 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.08/0.43 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.08/0.43 fof(f249,plain,(
% 0.08/0.43 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.08/0.43 inference(cnf_transformation,[status(thm)],[f248])).
% 0.08/0.43 fof(f318,plain,(
% 0.08/0.43 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.08/0.43 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 0.08/0.43 fof(f319,plain,(
% 0.08/0.43 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.08/0.43 inference(cnf_transformation,[status(thm)],[f318])).
% 0.08/0.44 fof(f388,plain,(
% 0.08/0.44 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.08/0.44 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 0.08/0.44 fof(f389,plain,(
% 0.08/0.44 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f388])).
% 0.08/0.44 fof(f415,plain,(
% 0.08/0.44 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((((ssList(X)&V=X)&U=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(?[Z]: (ssList(Z)&(?[X1]: ((ssList(X1)&app(Z,X1)=X)&app(X1,Z)=W)))))&(~nil=V|~nil=U)))))))))),
% 0.08/0.44 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.08/0.44 fof(f416,plain,(
% 0.08/0.44 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&((?[X]: ((((ssList(X)&V=X)&U=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(?[Z]: (ssList(Z)&(?[X1]: ((ssList(X1)&app(Z,X1)=X)&app(X1,Z)=W))))))&(~nil=V|~nil=U)))))))),
% 0.08/0.44 inference(miniscoping,[status(thm)],[f415])).
% 0.08/0.44 fof(f417,plain,(
% 0.08/0.44 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(((((ssList(sK50_skl)&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sK48_skl,Y))|~segmentP(sK47_skl,Y))))&(ssList(sK51_skl)&((ssList(sK52_skl)&app(sK51_skl,sK52_skl)=sK50_skl)&app(sK52_skl,sK51_skl)=sK49_skl)))&(~nil=sK48_skl|~nil=sK47_skl)))))),
% 0.08/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl,sK52_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Z,sK51_skl),skolemize(X1,sK52_skl)],[f416])).
% 0.08/0.44 fof(f420,plain,(
% 0.08/0.44 ssList(sK49_skl)),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f417])).
% 0.08/0.44 fof(f421,plain,(
% 0.08/0.44 ssList(sK50_skl)),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f417])).
% 0.08/0.44 fof(f422,plain,(
% 0.08/0.44 sK48_skl=sK50_skl),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f417])).
% 0.08/0.44 fof(f423,plain,(
% 0.08/0.44 sK47_skl=sK49_skl),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f417])).
% 0.08/0.44 fof(f424,plain,(
% 0.08/0.44 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f417])).
% 0.08/0.44 fof(f425,plain,(
% 0.08/0.44 ssList(sK51_skl)),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f417])).
% 0.08/0.44 fof(f426,plain,(
% 0.08/0.44 ssList(sK52_skl)),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f417])).
% 0.08/0.44 fof(f427,plain,(
% 0.08/0.44 app(sK51_skl,sK52_skl)=sK50_skl),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f417])).
% 0.08/0.44 fof(f428,plain,(
% 0.08/0.44 app(sK52_skl,sK51_skl)=sK49_skl),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f417])).
% 0.08/0.44 fof(f429,plain,(
% 0.08/0.44 ~nil=sK48_skl|~nil=sK47_skl),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f417])).
% 0.08/0.44 fof(f436,plain,(
% 0.08/0.44 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.08/0.44 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.08/0.44 fof(f464,plain,(
% 0.08/0.44 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK50_skl,X0)|~segmentP(sK47_skl,X0))),
% 0.08/0.44 inference(forward_demodulation,[status(thm)],[f422,f424])).
% 0.08/0.44 fof(f465,plain,(
% 0.08/0.44 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK50_skl,X0)|~segmentP(sK49_skl,X0))),
% 0.08/0.44 inference(forward_demodulation,[status(thm)],[f423,f464])).
% 0.08/0.44 fof(f466,plain,(
% 0.08/0.44 ~nil=sK50_skl|~nil=sK47_skl),
% 0.08/0.44 inference(forward_demodulation,[status(thm)],[f422,f429])).
% 0.08/0.44 fof(f467,plain,(
% 0.08/0.44 ~nil=sK50_skl|~nil=sK49_skl),
% 0.08/0.44 inference(forward_demodulation,[status(thm)],[f423,f466])).
% 0.08/0.44 fof(f468,plain,(
% 0.08/0.44 ![X0]: (~ssList(app(sK50_skl,X0))|~ssList(sK52_skl)|segmentP(app(app(sK51_skl,sK52_skl),X0),sK52_skl)|~ssList(sK51_skl)|~ssList(X0))),
% 0.08/0.44 inference(paramodulation,[status(thm)],[f427,f436])).
% 0.08/0.44 fof(f469,plain,(
% 0.08/0.44 ![X0]: (~ssList(app(sK50_skl,X0))|~ssList(sK52_skl)|segmentP(app(sK50_skl,X0),sK52_skl)|~ssList(sK51_skl)|~ssList(X0))),
% 0.08/0.44 inference(forward_demodulation,[status(thm)],[f427,f468])).
% 0.08/0.44 fof(f470,plain,(
% 0.08/0.44 ![X0]: (~ssList(app(sK50_skl,X0))|segmentP(app(sK50_skl,X0),sK52_skl)|~ssList(sK51_skl)|~ssList(X0))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f469,f426])).
% 0.08/0.44 fof(f475,plain,(
% 0.08/0.44 ![X0]: (~ssList(app(sK49_skl,X0))|~ssList(sK51_skl)|segmentP(app(app(sK52_skl,sK51_skl),X0),sK51_skl)|~ssList(sK52_skl)|~ssList(X0))),
% 0.08/0.44 inference(paramodulation,[status(thm)],[f428,f436])).
% 0.08/0.44 fof(f476,plain,(
% 0.08/0.44 ![X0]: (~ssList(app(sK49_skl,X0))|~ssList(sK51_skl)|segmentP(app(sK49_skl,X0),sK51_skl)|~ssList(sK52_skl)|~ssList(X0))),
% 0.08/0.44 inference(forward_demodulation,[status(thm)],[f428,f475])).
% 0.08/0.44 fof(f477,plain,(
% 0.08/0.44 ![X0]: (~ssList(app(sK49_skl,X0))|segmentP(app(sK49_skl,X0),sK51_skl)|~ssList(sK52_skl)|~ssList(X0))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f476,f425])).
% 0.08/0.44 fof(f479,plain,(
% 0.08/0.44 ![X0]: (~ssList(X0)|~ssList(nil)|X0=nil|~ssList(X0)|~segmentP(sK50_skl,X0)|~segmentP(sK49_skl,X0))),
% 0.08/0.44 inference(resolution,[status(thm)],[f220,f465])).
% 0.08/0.44 fof(f481,plain,(
% 0.08/0.44 ![X0]: (~ssList(X0)|~ssList(nil)|X0=nil|~segmentP(sK50_skl,X0)|~segmentP(sK49_skl,X0))),
% 0.08/0.44 inference(duplicate_literals_removal,[status(thm)],[f479])).
% 0.08/0.44 fof(f482,plain,(
% 0.08/0.44 ![X0]: (~ssList(X0)|X0=nil|~segmentP(sK50_skl,X0)|~segmentP(sK49_skl,X0))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f481,f223])).
% 0.08/0.44 fof(f486,plain,(
% 0.08/0.44 app(nil,sK52_skl)=sK52_skl),
% 0.08/0.44 inference(resolution,[status(thm)],[f249,f426])).
% 0.08/0.44 fof(f487,plain,(
% 0.08/0.44 app(nil,sK51_skl)=sK51_skl),
% 0.08/0.44 inference(resolution,[status(thm)],[f249,f425])).
% 0.08/0.44 fof(f491,plain,(
% 0.08/0.44 ![X0]: (~ssList(app(sK52_skl,X0))|~ssList(sK52_skl)|segmentP(app(app(nil,sK52_skl),X0),sK52_skl)|~ssList(nil)|~ssList(X0))),
% 0.08/0.44 inference(paramodulation,[status(thm)],[f486,f436])).
% 0.08/0.44 fof(f492,plain,(
% 0.08/0.44 ![X0]: (~ssList(app(sK52_skl,X0))|~ssList(sK52_skl)|segmentP(app(sK52_skl,X0),sK52_skl)|~ssList(nil)|~ssList(X0))),
% 0.08/0.44 inference(forward_demodulation,[status(thm)],[f486,f491])).
% 0.08/0.44 fof(f493,plain,(
% 0.08/0.44 ![X0]: (~ssList(sK52_skl)|segmentP(app(sK52_skl,X0),sK52_skl)|~ssList(nil)|~ssList(X0))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f492,f245])).
% 0.08/0.44 fof(f509,plain,(
% 0.08/0.44 app(sK51_skl,nil)=sK51_skl),
% 0.08/0.44 inference(resolution,[status(thm)],[f389,f425])).
% 0.08/0.44 fof(f511,plain,(
% 0.08/0.44 app(sK50_skl,nil)=sK50_skl),
% 0.08/0.44 inference(resolution,[status(thm)],[f389,f421])).
% 0.08/0.44 fof(f512,plain,(
% 0.08/0.44 app(sK49_skl,nil)=sK49_skl),
% 0.08/0.44 inference(resolution,[status(thm)],[f389,f420])).
% 0.08/0.44 fof(f526,plain,(
% 0.08/0.44 ~ssList(sK50_skl)|segmentP(app(sK50_skl,nil),sK52_skl)|~ssList(sK51_skl)|~ssList(nil)),
% 0.08/0.44 inference(paramodulation,[status(thm)],[f511,f470])).
% 0.08/0.44 fof(f528,plain,(
% 0.08/0.44 ~ssList(sK50_skl)|segmentP(sK50_skl,sK52_skl)|~ssList(sK51_skl)|~ssList(nil)),
% 0.08/0.44 inference(forward_demodulation,[status(thm)],[f511,f526])).
% 0.08/0.44 fof(f529,plain,(
% 0.08/0.44 segmentP(sK50_skl,sK52_skl)|~ssList(sK51_skl)|~ssList(nil)),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f528,f421])).
% 0.08/0.44 fof(f531,plain,(
% 0.08/0.44 ~ssList(sK49_skl)|segmentP(app(sK49_skl,nil),sK51_skl)|~ssList(sK52_skl)|~ssList(nil)),
% 0.08/0.44 inference(paramodulation,[status(thm)],[f512,f477])).
% 0.08/0.44 fof(f533,plain,(
% 0.08/0.44 ~ssList(sK49_skl)|segmentP(sK49_skl,sK51_skl)|~ssList(sK52_skl)|~ssList(nil)),
% 0.08/0.44 inference(forward_demodulation,[status(thm)],[f512,f531])).
% 0.08/0.44 fof(f534,plain,(
% 0.08/0.44 segmentP(sK49_skl,sK51_skl)|~ssList(sK52_skl)|~ssList(nil)),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f533,f420])).
% 0.08/0.44 fof(f563,plain,(
% 0.08/0.44 ~ssList(sK49_skl)|sK49_skl=nil|~segmentP(sK50_skl,sK49_skl)|~ssList(sK49_skl)),
% 0.08/0.44 inference(resolution,[status(thm)],[f482,f319])).
% 0.08/0.44 fof(f564,plain,(
% 0.08/0.44 ~ssList(sK49_skl)|sK49_skl=nil|~segmentP(sK50_skl,sK49_skl)),
% 0.08/0.44 inference(duplicate_literals_removal,[status(thm)],[f563])).
% 0.08/0.44 fof(f565,plain,(
% 0.08/0.44 sK49_skl=nil|~segmentP(sK50_skl,sK49_skl)),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f564,f420])).
% 0.08/0.44 fof(f708,plain,(
% 0.08/0.44 segmentP(sK50_skl,sK52_skl)|~ssList(sK51_skl)),
% 0.08/0.44 inference(resolution,[status(thm)],[f529,f223])).
% 0.08/0.44 fof(f709,plain,(
% 0.08/0.44 segmentP(sK50_skl,sK52_skl)),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f708,f425])).
% 0.08/0.44 fof(f710,plain,(
% 0.08/0.44 ![X0]: (~ssList(sK52_skl)|segmentP(app(sK52_skl,X0),sK52_skl)|~ssList(X0))),
% 0.08/0.44 inference(resolution,[status(thm)],[f493,f223])).
% 0.08/0.44 fof(f711,plain,(
% 0.08/0.44 ![X0]: (segmentP(app(sK52_skl,X0),sK52_skl)|~ssList(X0))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f710,f426])).
% 0.08/0.44 fof(f726,plain,(
% 0.08/0.44 segmentP(sK49_skl,sK52_skl)|~ssList(sK51_skl)),
% 0.08/0.44 inference(paramodulation,[status(thm)],[f428,f711])).
% 0.08/0.44 fof(f730,plain,(
% 0.08/0.44 segmentP(sK49_skl,sK52_skl)),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f726,f425])).
% 0.08/0.44 fof(f733,plain,(
% 0.08/0.44 ~ssList(sK52_skl)|sK52_skl=nil|~segmentP(sK50_skl,sK52_skl)),
% 0.08/0.44 inference(resolution,[status(thm)],[f730,f482])).
% 0.08/0.44 fof(f736,plain,(
% 0.08/0.44 sK52_skl=nil|~segmentP(sK50_skl,sK52_skl)),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f733,f426])).
% 0.08/0.44 fof(f739,plain,(
% 0.08/0.44 sK52_skl=nil),
% 0.08/0.44 inference(resolution,[status(thm)],[f736,f709])).
% 0.08/0.44 fof(f752,plain,(
% 0.08/0.44 sK49_skl=sK52_skl|~segmentP(sK50_skl,sK49_skl)),
% 0.08/0.44 inference(backward_demodulation,[status(thm)],[f739,f565])).
% 0.08/0.44 fof(f758,plain,(
% 0.08/0.44 app(sK51_skl,sK52_skl)=sK51_skl),
% 0.08/0.44 inference(backward_demodulation,[status(thm)],[f739,f509])).
% 0.08/0.44 fof(f767,plain,(
% 0.08/0.44 app(sK52_skl,sK51_skl)=sK51_skl),
% 0.08/0.44 inference(backward_demodulation,[status(thm)],[f739,f487])).
% 0.08/0.44 fof(f770,plain,(
% 0.08/0.44 ~nil=sK50_skl|~sK52_skl=sK49_skl),
% 0.08/0.44 inference(backward_demodulation,[status(thm)],[f739,f467])).
% 0.08/0.44 fof(f820,plain,(
% 0.08/0.44 segmentP(sK49_skl,sK51_skl)|~ssList(sK52_skl)|~ssList(sK52_skl)),
% 0.08/0.44 inference(backward_demodulation,[status(thm)],[f739,f534])).
% 0.08/0.44 fof(f871,plain,(
% 0.08/0.44 sK51_skl=sK50_skl),
% 0.08/0.44 inference(backward_demodulation,[status(thm)],[f758,f427])).
% 0.08/0.44 fof(f880,plain,(
% 0.08/0.44 sK51_skl=sK49_skl),
% 0.08/0.44 inference(backward_demodulation,[status(thm)],[f767,f428])).
% 0.08/0.44 fof(f881,plain,(
% 0.08/0.44 ~sK52_skl=sK50_skl|~sK52_skl=sK49_skl),
% 0.08/0.44 inference(forward_demodulation,[status(thm)],[f739,f770])).
% 0.08/0.44 fof(f906,plain,(
% 0.08/0.44 segmentP(sK49_skl,sK51_skl)|~ssList(sK52_skl)),
% 0.08/0.44 inference(duplicate_literals_removal,[status(thm)],[f820])).
% 0.08/0.44 fof(f907,plain,(
% 0.08/0.44 segmentP(sK49_skl,sK51_skl)),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f906,f426])).
% 0.08/0.44 fof(f940,plain,(
% 0.08/0.44 ~sK52_skl=sK51_skl|~sK52_skl=sK49_skl),
% 0.08/0.44 inference(backward_demodulation,[status(thm)],[f871,f881])).
% 0.08/0.44 fof(f944,plain,(
% 0.08/0.44 sK49_skl=sK52_skl|~segmentP(sK51_skl,sK49_skl)),
% 0.08/0.44 inference(backward_demodulation,[status(thm)],[f871,f752])).
% 0.08/0.44 fof(f965,plain,(
% 0.08/0.44 segmentP(sK51_skl,sK51_skl)),
% 0.08/0.44 inference(backward_demodulation,[status(thm)],[f880,f907])).
% 0.08/0.44 fof(f983,plain,(
% 0.08/0.44 ~sK52_skl=sK51_skl|~sK52_skl=sK51_skl),
% 0.08/0.44 inference(forward_demodulation,[status(thm)],[f880,f940])).
% 0.08/0.44 fof(f985,plain,(
% 0.08/0.44 ~sK52_skl=sK51_skl),
% 0.08/0.44 inference(duplicate_literals_removal,[status(thm)],[f983])).
% 0.08/0.44 fof(f990,plain,(
% 0.08/0.44 sK51_skl=sK52_skl|~segmentP(sK51_skl,sK49_skl)),
% 0.08/0.44 inference(forward_demodulation,[status(thm)],[f880,f944])).
% 0.08/0.44 fof(f991,plain,(
% 0.08/0.44 sK51_skl=sK52_skl|~segmentP(sK51_skl,sK51_skl)),
% 0.08/0.44 inference(forward_demodulation,[status(thm)],[f880,f990])).
% 0.08/0.44 fof(f992,plain,(
% 0.08/0.44 ~segmentP(sK51_skl,sK51_skl)),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f991,f985])).
% 0.08/0.44 fof(f1003,plain,(
% 0.08/0.44 $false),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f965,f992])).
% 0.08/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.48 % Elapsed time: 0.096739 seconds
% 0.08/0.48 % CPU time: 0.524595 seconds
% 0.08/0.48 % Total memory used: 103.552 MB
% 0.08/0.48 % Net memory used: 102.923 MB
%------------------------------------------------------------------------------