TSTP Solution File: SWC068+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC068+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:39:07 EDT 2023
% Result : Theorem 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWC068+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:31:10 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.33 fof(f2,axiom,(
% 0.15/0.33 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f7,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f15,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f17,axiom,(
% 0.15/0.33 ssList(nil) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f28,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f55,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f84,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f96,conjecture,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( app(X,X) != W| V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( nil = V& nil = U ) ) ) )) )) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f97,negated_conjecture,(
% 0.15/0.33 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( app(X,X) != W| V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( nil = V& nil = U ) ) ) )) )) )) ))),
% 0.15/0.33 inference(negated_conjecture,[status(cth)],[f96])).
% 0.15/0.33 fof(f102,plain,(
% 0.15/0.33 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f2])).
% 0.15/0.33 fof(f103,plain,(
% 0.15/0.33 ssItem(sk0_0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f102])).
% 0.15/0.33 fof(f104,plain,(
% 0.15/0.33 ssItem(sk0_1)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f102])).
% 0.15/0.33 fof(f131,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.15/0.33 fof(f132,plain,(
% 0.15/0.33 ![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)))))))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f131])).
% 0.15/0.33 fof(f133,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(ssList(sk0_7(V,U))&(ssList(sk0_8(V,U))&app(app(sk0_7(V,U),V),sk0_8(V,U))=U)))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f132])).
% 0.15/0.33 fof(f137,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f133])).
% 0.15/0.33 fof(f217,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.15/0.33 fof(f218,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f217])).
% 0.15/0.33 fof(f220,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f218])).
% 0.15/0.33 fof(f223,plain,(
% 0.15/0.33 ssList(nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.33 fof(f248,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.15/0.33 fof(f249,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f248])).
% 0.15/0.33 fof(f318,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.15/0.33 fof(f319,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f318])).
% 0.15/0.33 fof(f388,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.15/0.33 fof(f389,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f388])).
% 0.15/0.33 fof(f415,plain,(
% 0.15/0.33 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((app(X,X)=W&V=X)&U=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(~nil=V|~nil=U))))))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.15/0.33 fof(f416,plain,(
% 0.15/0.33 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((app(sk0_50,sk0_50)=sk0_49&sk0_48=sk0_50)&sk0_47=sk0_49)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sk0_48,Y))|~segmentP(sk0_47,Y))))&(~nil=sk0_48|~nil=sk0_47))))))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f415])).
% 0.15/0.33 fof(f417,plain,(
% 0.15/0.33 ssList(sk0_47)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f418,plain,(
% 0.15/0.33 ssList(sk0_48)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f421,plain,(
% 0.15/0.33 app(sk0_50,sk0_50)=sk0_49),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f422,plain,(
% 0.15/0.33 sk0_48=sk0_50),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f423,plain,(
% 0.15/0.33 sk0_47=sk0_49),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f424,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f425,plain,(
% 0.15/0.33 ~nil=sk0_48|~nil=sk0_47),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f426,plain,(
% 0.15/0.33 spl0_0 <=> nil=sk0_48),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f427,plain,(
% 0.15/0.33 nil=sk0_48|~spl0_0),
% 0.15/0.33 inference(component_clause,[status(thm)],[f426])).
% 0.15/0.33 fof(f429,plain,(
% 0.15/0.33 spl0_1 <=> nil=sk0_47),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f431,plain,(
% 0.15/0.33 ~nil=sk0_47|spl0_1),
% 0.15/0.33 inference(component_clause,[status(thm)],[f429])).
% 0.15/0.33 fof(f432,plain,(
% 0.15/0.33 ~spl0_0|~spl0_1),
% 0.15/0.33 inference(split_clause,[status(thm)],[f425,f426,f429])).
% 0.15/0.33 fof(f439,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.15/0.33 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.15/0.33 fof(f464,plain,(
% 0.15/0.33 app(sk0_48,sk0_50)=sk0_49),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f422,f421])).
% 0.15/0.33 fof(f465,plain,(
% 0.15/0.33 app(sk0_48,sk0_48)=sk0_49),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f422,f464])).
% 0.15/0.33 fof(f466,plain,(
% 0.15/0.33 app(sk0_48,sk0_48)=sk0_47),
% 0.15/0.33 inference(backward_demodulation,[status(thm)],[f423,f465])).
% 0.15/0.33 fof(f468,plain,(
% 0.15/0.33 app(nil,nil)=nil),
% 0.15/0.33 inference(resolution,[status(thm)],[f249,f223])).
% 0.15/0.33 fof(f469,plain,(
% 0.15/0.33 app(nil,sk0_48)=sk0_48),
% 0.15/0.33 inference(resolution,[status(thm)],[f249,f418])).
% 0.15/0.33 fof(f471,plain,(
% 0.15/0.33 spl0_2 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f472,plain,(
% 0.15/0.33 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)|~spl0_2)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f471])).
% 0.15/0.33 fof(f474,plain,(
% 0.15/0.33 spl0_3 <=> ssList(sk0_48)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f476,plain,(
% 0.15/0.33 ~ssList(sk0_48)|spl0_3),
% 0.15/0.33 inference(component_clause,[status(thm)],[f474])).
% 0.15/0.33 fof(f477,plain,(
% 0.15/0.33 spl0_4 <=> ssList(nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f479,plain,(
% 0.15/0.33 ~ssList(nil)|spl0_4),
% 0.15/0.33 inference(component_clause,[status(thm)],[f477])).
% 0.15/0.33 fof(f480,plain,(
% 0.15/0.33 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_48)|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(nil)|~ssList(X0))),
% 0.15/0.33 inference(paramodulation,[status(thm)],[f469,f439])).
% 0.15/0.33 fof(f481,plain,(
% 0.15/0.33 spl0_2|~spl0_3|~spl0_4),
% 0.15/0.33 inference(split_clause,[status(thm)],[f480,f471,f474,f477])).
% 0.15/0.33 fof(f492,plain,(
% 0.15/0.33 $false|spl0_3),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f476,f418])).
% 0.15/0.33 fof(f493,plain,(
% 0.15/0.33 spl0_3),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f492])).
% 0.15/0.33 fof(f494,plain,(
% 0.15/0.33 $false|spl0_4),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f479,f223])).
% 0.15/0.33 fof(f495,plain,(
% 0.15/0.33 spl0_4),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f494])).
% 0.15/0.33 fof(f497,plain,(
% 0.15/0.33 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_48)|~ssList(X0)|~spl0_2)),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f469,f472])).
% 0.15/0.33 fof(f503,plain,(
% 0.15/0.33 spl0_7 <=> ssList(app(sk0_48,sk0_48))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f505,plain,(
% 0.15/0.33 ~ssList(app(sk0_48,sk0_48))|spl0_7),
% 0.15/0.33 inference(component_clause,[status(thm)],[f503])).
% 0.15/0.33 fof(f506,plain,(
% 0.15/0.33 spl0_8 <=> segmentP(sk0_47,sk0_48)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f509,plain,(
% 0.15/0.33 ~ssList(app(sk0_48,sk0_48))|segmentP(sk0_47,sk0_48)|~ssList(sk0_48)|~spl0_2),
% 0.15/0.33 inference(paramodulation,[status(thm)],[f466,f497])).
% 0.15/0.33 fof(f510,plain,(
% 0.15/0.33 ~spl0_7|spl0_8|~spl0_3|~spl0_2),
% 0.15/0.33 inference(split_clause,[status(thm)],[f509,f503,f506,f474,f471])).
% 0.15/0.33 fof(f511,plain,(
% 0.15/0.33 ~ssList(sk0_47)|spl0_7),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f466,f505])).
% 0.15/0.33 fof(f512,plain,(
% 0.15/0.33 $false|spl0_7),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f511,f417])).
% 0.15/0.33 fof(f513,plain,(
% 0.15/0.33 spl0_7),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f512])).
% 0.15/0.33 fof(f518,plain,(
% 0.15/0.33 spl0_10 <=> ssList(sk0_47)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f520,plain,(
% 0.15/0.33 ~ssList(sk0_47)|spl0_10),
% 0.15/0.33 inference(component_clause,[status(thm)],[f518])).
% 0.15/0.33 fof(f523,plain,(
% 0.15/0.33 $false|spl0_10),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f520,f417])).
% 0.15/0.33 fof(f524,plain,(
% 0.15/0.33 spl0_10),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f523])).
% 0.15/0.33 fof(f527,plain,(
% 0.15/0.33 app(sk0_48,nil)=sk0_48),
% 0.15/0.33 inference(resolution,[status(thm)],[f389,f418])).
% 0.15/0.33 fof(f528,plain,(
% 0.15/0.33 app(sk0_47,nil)=sk0_47),
% 0.15/0.33 inference(resolution,[status(thm)],[f389,f417])).
% 0.15/0.33 fof(f529,plain,(
% 0.15/0.33 spl0_11 <=> ssList(app(sk0_48,nil))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f531,plain,(
% 0.15/0.33 ~ssList(app(sk0_48,nil))|spl0_11),
% 0.15/0.33 inference(component_clause,[status(thm)],[f529])).
% 0.15/0.33 fof(f542,plain,(
% 0.15/0.33 ~ssList(sk0_48)|spl0_11),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f527,f531])).
% 0.15/0.33 fof(f543,plain,(
% 0.15/0.33 $false|spl0_11),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f542,f418])).
% 0.15/0.33 fof(f544,plain,(
% 0.15/0.33 spl0_11),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f543])).
% 0.15/0.33 fof(f547,plain,(
% 0.15/0.33 spl0_14 <=> ssList(app(sk0_47,nil))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f549,plain,(
% 0.15/0.33 ~ssList(app(sk0_47,nil))|spl0_14),
% 0.15/0.33 inference(component_clause,[status(thm)],[f547])).
% 0.15/0.33 fof(f562,plain,(
% 0.15/0.33 ~ssList(sk0_47)|spl0_14),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f528,f549])).
% 0.15/0.33 fof(f563,plain,(
% 0.15/0.33 $false|spl0_14),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f562,f417])).
% 0.15/0.33 fof(f564,plain,(
% 0.15/0.33 spl0_14),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f563])).
% 0.15/0.33 fof(f574,plain,(
% 0.15/0.33 spl0_18 <=> ssItem(sk0_0)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f576,plain,(
% 0.15/0.33 ~ssItem(sk0_0)|spl0_18),
% 0.15/0.33 inference(component_clause,[status(thm)],[f574])).
% 0.15/0.33 fof(f587,plain,(
% 0.15/0.33 $false|spl0_18),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f576,f103])).
% 0.15/0.33 fof(f588,plain,(
% 0.15/0.33 spl0_18),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f587])).
% 0.15/0.33 fof(f589,plain,(
% 0.15/0.33 spl0_21 <=> ssItem(sk0_1)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f591,plain,(
% 0.15/0.33 ~ssItem(sk0_1)|spl0_21),
% 0.15/0.33 inference(component_clause,[status(thm)],[f589])).
% 0.15/0.33 fof(f602,plain,(
% 0.15/0.33 $false|spl0_21),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f591,f104])).
% 0.15/0.33 fof(f603,plain,(
% 0.15/0.33 spl0_21),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f602])).
% 0.15/0.33 fof(f604,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|neq(X0,nil)|X0=nil)),
% 0.15/0.33 inference(resolution,[status(thm)],[f220,f223])).
% 0.15/0.33 fof(f617,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.15/0.33 inference(resolution,[status(thm)],[f604,f424])).
% 0.15/0.33 fof(f618,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|X0=nil|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.15/0.33 inference(duplicate_literals_removal,[status(esa)],[f617])).
% 0.15/0.33 fof(f628,plain,(
% 0.15/0.33 ~ssList(sk0_48)|sk0_48=nil|~segmentP(sk0_47,sk0_48)|~ssList(sk0_48)),
% 0.15/0.33 inference(resolution,[status(thm)],[f618,f319])).
% 0.15/0.33 fof(f629,plain,(
% 0.15/0.33 ~spl0_3|spl0_0|~spl0_8),
% 0.15/0.33 inference(split_clause,[status(thm)],[f628,f474,f426,f506])).
% 0.15/0.33 fof(f645,plain,(
% 0.15/0.33 app(sk0_48,nil)=sk0_47|~spl0_0),
% 0.15/0.33 inference(backward_demodulation,[status(thm)],[f427,f466])).
% 0.15/0.33 fof(f646,plain,(
% 0.15/0.33 app(nil,nil)=sk0_47|~spl0_0),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f427,f645])).
% 0.15/0.33 fof(f647,plain,(
% 0.15/0.33 nil=sk0_47|~spl0_0),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f468,f646])).
% 0.15/0.33 fof(f648,plain,(
% 0.15/0.33 $false|spl0_1|~spl0_0),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f647,f431])).
% 0.15/0.33 fof(f649,plain,(
% 0.15/0.33 spl0_1|~spl0_0),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f648])).
% 0.15/0.33 fof(f650,plain,(
% 0.15/0.33 $false),
% 0.15/0.33 inference(sat_refutation,[status(thm)],[f432,f481,f493,f495,f510,f513,f524,f544,f564,f588,f603,f629,f649])).
% 0.15/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.56 % Elapsed time: 0.020783 seconds
% 0.15/0.56 % CPU time: 0.020776 seconds
% 0.15/0.56 % Memory used: 4.122 MB
%------------------------------------------------------------------------------