TSTP Solution File: SWC068+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n012.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 : Tue Apr 30 20:44:24 EDT 2024
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC068+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 00:00:56 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.35 fof(f7,axiom,(
% 0.12/0.35 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f15,axiom,(
% 0.12/0.35 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f17,axiom,(
% 0.12/0.35 ssList(nil) ),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f28,axiom,(
% 0.12/0.35 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f55,axiom,(
% 0.12/0.35 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f96,conjecture,(
% 0.12/0.35 (! [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 ) ) ) )) )) )) )),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f97,negated_conjecture,(
% 0.12/0.35 ~((! [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 ) ) ) )) )) )) ))),
% 0.12/0.35 inference(negated_conjecture,[status(cth)],[f96])).
% 0.12/0.35 fof(f131,plain,(
% 0.12/0.35 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.12/0.35 fof(f132,plain,(
% 0.12/0.35 ![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)))))))))),
% 0.12/0.35 inference(NNF_transformation,[status(esa)],[f131])).
% 0.12/0.35 fof(f133,plain,(
% 0.12/0.35 ![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)))))))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f132])).
% 0.12/0.35 fof(f137,plain,(
% 0.12/0.35 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f133])).
% 0.12/0.35 fof(f217,plain,(
% 0.12/0.35 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.12/0.35 fof(f218,plain,(
% 0.12/0.35 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.12/0.35 inference(NNF_transformation,[status(esa)],[f217])).
% 0.12/0.35 fof(f220,plain,(
% 0.12/0.35 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f218])).
% 0.12/0.35 fof(f223,plain,(
% 0.12/0.35 ssList(nil)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.35 fof(f248,plain,(
% 0.12/0.35 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.12/0.35 fof(f249,plain,(
% 0.12/0.35 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f248])).
% 0.12/0.35 fof(f318,plain,(
% 0.12/0.35 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.12/0.35 fof(f319,plain,(
% 0.12/0.35 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f318])).
% 0.12/0.35 fof(f415,plain,(
% 0.12/0.35 (?[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))))))))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.12/0.35 fof(f416,plain,(
% 0.12/0.35 (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))))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f415])).
% 0.12/0.35 fof(f417,plain,(
% 0.12/0.35 ssList(sk0_47)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f416])).
% 0.12/0.35 fof(f418,plain,(
% 0.12/0.35 ssList(sk0_48)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f416])).
% 0.12/0.35 fof(f421,plain,(
% 0.12/0.35 app(sk0_50,sk0_50)=sk0_49),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f416])).
% 0.12/0.35 fof(f422,plain,(
% 0.12/0.35 sk0_48=sk0_50),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f416])).
% 0.12/0.35 fof(f423,plain,(
% 0.12/0.35 sk0_47=sk0_49),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f416])).
% 0.12/0.35 fof(f424,plain,(
% 0.12/0.35 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f416])).
% 0.12/0.35 fof(f425,plain,(
% 0.12/0.35 ~nil=sk0_48|~nil=sk0_47),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f416])).
% 0.12/0.35 fof(f426,plain,(
% 0.12/0.35 spl0_0 <=> nil=sk0_48),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f427,plain,(
% 0.12/0.35 nil=sk0_48|~spl0_0),
% 0.12/0.35 inference(component_clause,[status(thm)],[f426])).
% 0.12/0.35 fof(f429,plain,(
% 0.12/0.35 spl0_1 <=> nil=sk0_47),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f431,plain,(
% 0.12/0.35 ~nil=sk0_47|spl0_1),
% 0.12/0.35 inference(component_clause,[status(thm)],[f429])).
% 0.12/0.35 fof(f432,plain,(
% 0.12/0.35 ~spl0_0|~spl0_1),
% 0.12/0.35 inference(split_clause,[status(thm)],[f425,f426,f429])).
% 0.12/0.35 fof(f439,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.12/0.35 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.12/0.35 fof(f464,plain,(
% 0.12/0.35 app(sk0_48,sk0_50)=sk0_49),
% 0.12/0.35 inference(forward_demodulation,[status(thm)],[f422,f421])).
% 0.12/0.35 fof(f465,plain,(
% 0.12/0.35 app(sk0_48,sk0_48)=sk0_49),
% 0.12/0.35 inference(forward_demodulation,[status(thm)],[f422,f464])).
% 0.12/0.35 fof(f466,plain,(
% 0.12/0.35 app(sk0_48,sk0_48)=sk0_47),
% 0.12/0.35 inference(backward_demodulation,[status(thm)],[f423,f465])).
% 0.12/0.35 fof(f469,plain,(
% 0.12/0.35 segmentP(sk0_48,sk0_48)),
% 0.12/0.35 inference(resolution,[status(thm)],[f319,f418])).
% 0.12/0.35 fof(f481,plain,(
% 0.12/0.35 spl0_3 <=> ssList(sk0_48)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f483,plain,(
% 0.12/0.35 ~ssList(sk0_48)|spl0_3),
% 0.12/0.35 inference(component_clause,[status(thm)],[f481])).
% 0.12/0.35 fof(f486,plain,(
% 0.12/0.35 $false|spl0_3),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f483,f418])).
% 0.12/0.35 fof(f487,plain,(
% 0.12/0.35 spl0_3),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f486])).
% 0.12/0.35 fof(f489,plain,(
% 0.12/0.35 spl0_4 <=> ssList(nil)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f491,plain,(
% 0.12/0.35 ~ssList(nil)|spl0_4),
% 0.12/0.35 inference(component_clause,[status(thm)],[f489])).
% 0.12/0.35 fof(f500,plain,(
% 0.12/0.35 spl0_7 <=> neq(sk0_48,nil)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f503,plain,(
% 0.12/0.35 spl0_8 <=> segmentP(sk0_47,sk0_48)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f505,plain,(
% 0.12/0.35 ~segmentP(sk0_47,sk0_48)|spl0_8),
% 0.12/0.35 inference(component_clause,[status(thm)],[f503])).
% 0.12/0.35 fof(f506,plain,(
% 0.12/0.35 ~ssList(sk0_48)|~neq(sk0_48,nil)|~segmentP(sk0_47,sk0_48)),
% 0.12/0.35 inference(resolution,[status(thm)],[f424,f469])).
% 0.12/0.35 fof(f507,plain,(
% 0.12/0.35 ~spl0_3|~spl0_7|~spl0_8),
% 0.12/0.35 inference(split_clause,[status(thm)],[f506,f481,f500,f503])).
% 0.12/0.35 fof(f510,plain,(
% 0.12/0.35 $false|spl0_4),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f491,f223])).
% 0.12/0.35 fof(f511,plain,(
% 0.12/0.35 spl0_4),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f510])).
% 0.12/0.35 fof(f512,plain,(
% 0.12/0.35 app(nil,nil)=nil),
% 0.12/0.35 inference(resolution,[status(thm)],[f249,f223])).
% 0.12/0.35 fof(f513,plain,(
% 0.12/0.35 app(nil,sk0_48)=sk0_48),
% 0.12/0.35 inference(resolution,[status(thm)],[f249,f418])).
% 0.12/0.35 fof(f515,plain,(
% 0.12/0.35 spl0_9 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f516,plain,(
% 0.12/0.35 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)|~spl0_9)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f515])).
% 0.12/0.35 fof(f518,plain,(
% 0.12/0.35 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_48)|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(nil)|~ssList(X0))),
% 0.12/0.35 inference(paramodulation,[status(thm)],[f513,f439])).
% 0.12/0.35 fof(f519,plain,(
% 0.12/0.35 spl0_9|~spl0_3|~spl0_4),
% 0.12/0.35 inference(split_clause,[status(thm)],[f518,f515,f481,f489])).
% 0.12/0.35 fof(f520,plain,(
% 0.12/0.35 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_48)|~ssList(X0)|~spl0_9)),
% 0.12/0.35 inference(forward_demodulation,[status(thm)],[f513,f516])).
% 0.12/0.35 fof(f521,plain,(
% 0.12/0.35 spl0_10 <=> ssList(sk0_47)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f523,plain,(
% 0.12/0.35 ~ssList(sk0_47)|spl0_10),
% 0.12/0.35 inference(component_clause,[status(thm)],[f521])).
% 0.12/0.35 fof(f524,plain,(
% 0.12/0.35 spl0_11 <=> segmentP(app(sk0_48,sk0_48),sk0_48)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f525,plain,(
% 0.12/0.35 segmentP(app(sk0_48,sk0_48),sk0_48)|~spl0_11),
% 0.12/0.35 inference(component_clause,[status(thm)],[f524])).
% 0.12/0.35 fof(f527,plain,(
% 0.12/0.35 ~ssList(sk0_47)|segmentP(app(sk0_48,sk0_48),sk0_48)|~ssList(sk0_48)|~spl0_9),
% 0.12/0.35 inference(paramodulation,[status(thm)],[f466,f520])).
% 0.12/0.35 fof(f528,plain,(
% 0.12/0.35 ~spl0_10|spl0_11|~spl0_3|~spl0_9),
% 0.12/0.35 inference(split_clause,[status(thm)],[f527,f521,f524,f481,f515])).
% 0.12/0.35 fof(f529,plain,(
% 0.12/0.35 $false|spl0_10),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f523,f417])).
% 0.12/0.35 fof(f530,plain,(
% 0.12/0.35 spl0_10),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f529])).
% 0.12/0.35 fof(f531,plain,(
% 0.12/0.35 segmentP(sk0_47,sk0_48)|~spl0_11),
% 0.12/0.35 inference(forward_demodulation,[status(thm)],[f466,f525])).
% 0.12/0.35 fof(f577,plain,(
% 0.12/0.35 ![X0]: (~ssList(X0)|neq(sk0_48,X0)|sk0_48=X0)),
% 0.12/0.35 inference(resolution,[status(thm)],[f220,f418])).
% 0.12/0.35 fof(f579,plain,(
% 0.12/0.35 neq(sk0_48,nil)|sk0_48=nil),
% 0.12/0.35 inference(resolution,[status(thm)],[f577,f223])).
% 0.12/0.35 fof(f580,plain,(
% 0.12/0.35 spl0_7|spl0_0),
% 0.12/0.35 inference(split_clause,[status(thm)],[f579,f500,f426])).
% 0.12/0.35 fof(f597,plain,(
% 0.12/0.35 $false|~spl0_11|spl0_8),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f505,f531])).
% 0.12/0.35 fof(f598,plain,(
% 0.12/0.35 ~spl0_11|spl0_8),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f597])).
% 0.12/0.35 fof(f611,plain,(
% 0.12/0.35 app(sk0_48,nil)=sk0_47|~spl0_0),
% 0.12/0.35 inference(backward_demodulation,[status(thm)],[f427,f466])).
% 0.12/0.35 fof(f612,plain,(
% 0.12/0.35 app(nil,nil)=sk0_47|~spl0_0),
% 0.12/0.35 inference(forward_demodulation,[status(thm)],[f427,f611])).
% 0.12/0.35 fof(f613,plain,(
% 0.12/0.35 nil=sk0_47|~spl0_0),
% 0.12/0.35 inference(forward_demodulation,[status(thm)],[f512,f612])).
% 0.12/0.35 fof(f614,plain,(
% 0.12/0.35 $false|spl0_1|~spl0_0),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f613,f431])).
% 0.12/0.35 fof(f615,plain,(
% 0.12/0.35 spl0_1|~spl0_0),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f614])).
% 0.12/0.35 fof(f616,plain,(
% 0.12/0.35 $false),
% 0.12/0.35 inference(sat_refutation,[status(thm)],[f432,f487,f507,f511,f519,f528,f530,f580,f598,f615])).
% 0.12/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.36 % Elapsed time: 0.026346 seconds
% 0.12/0.36 % CPU time: 0.042307 seconds
% 0.12/0.36 % Total memory used: 14.623 MB
% 0.12/0.36 % Net memory used: 14.590 MB
%------------------------------------------------------------------------------