TSTP Solution File: SWC372+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC372+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:40:14 EDT 2023
% Result : Theorem 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC372+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:16:32 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 0.20/0.37 % Refutation found
% 0.20/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.37 fof(f7,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f17,axiom,(
% 0.20/0.37 ssList(nil) ),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f28,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f96,conjecture,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssList(Y)=> ( app(W,Y) != X| ~ strictorderedP(W)| (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& app(cons(Z,nil),X1) = Y& (? [X2] :( ssItem(X2)& (? [X3] :( ssList(X3)& app(X3,cons(X2,nil)) = W& lt(X2,Z) ) )) )) )) )) ))| segmentP(V,U)| ( nil != X& nil = W ) ) ) )) )) )) )),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f97,negated_conjecture,(
% 0.20/0.37 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssList(Y)=> ( app(W,Y) != X| ~ strictorderedP(W)| (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& app(cons(Z,nil),X1) = Y& (? [X2] :( ssItem(X2)& (? [X3] :( ssList(X3)& app(X3,cons(X2,nil)) = W& lt(X2,Z) ) )) )) )) )) ))| segmentP(V,U)| ( nil != X& nil = W ) ) ) )) )) )) ))),
% 0.20/0.37 inference(negated_conjecture,[status(cth)],[f96])).
% 0.20/0.37 fof(f131,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.20/0.37 fof(f132,plain,(
% 0.20/0.37 ![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)))))))))),
% 0.20/0.37 inference(NNF_transformation,[status(esa)],[f131])).
% 0.20/0.37 fof(f133,plain,(
% 0.20/0.37 ![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)))))))))),
% 0.20/0.37 inference(skolemization,[status(esa)],[f132])).
% 0.20/0.37 fof(f137,plain,(
% 0.20/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f133])).
% 0.20/0.37 fof(f223,plain,(
% 0.20/0.37 ssList(nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.37 fof(f248,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.20/0.37 fof(f249,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f248])).
% 0.20/0.37 fof(f415,plain,(
% 0.20/0.37 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&((app(W,Y)=X&strictorderedP(W))&(![Z]: (~ssItem(Z)|(![X1]: ((~ssList(X1)|~app(cons(Z,nil),X1)=Y)|(![X2]: (~ssItem(X2)|(![X3]: ((~ssList(X3)|~app(X3,cons(X2,nil))=W)|~lt(X2,Z)))))))))))))&~segmentP(V,U))&(nil=X|~nil=W))))))))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.20/0.37 fof(f416,plain,(
% 0.20/0.37 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&((app(W,Y)=X&strictorderedP(W))&(![Z]: (~ssItem(Z)|((![X1]: (~ssList(X1)|~app(cons(Z,nil),X1)=Y))|(![X2]: (~ssItem(X2)|((![X3]: (~ssList(X3)|~app(X3,cons(X2,nil))=W))|~lt(X2,Z)))))))))))&~segmentP(V,U))&(nil=X|~nil=W)))))))))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f415])).
% 0.20/0.37 fof(f417,plain,(
% 0.20/0.37 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&(ssList(sk0_51)&((app(sk0_49,sk0_51)=sk0_50&strictorderedP(sk0_49))&(![Z]: (~ssItem(Z)|((![X1]: (~ssList(X1)|~app(cons(Z,nil),X1)=sk0_51))|(![X2]: (~ssItem(X2)|((![X3]: (~ssList(X3)|~app(X3,cons(X2,nil))=sk0_49))|~lt(X2,Z))))))))))&~segmentP(sk0_48,sk0_47))&(nil=sk0_50|~nil=sk0_49))))))),
% 0.20/0.37 inference(skolemization,[status(esa)],[f416])).
% 0.20/0.37 fof(f418,plain,(
% 0.20/0.37 ssList(sk0_47)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f419,plain,(
% 0.20/0.37 ssList(sk0_48)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f422,plain,(
% 0.20/0.37 sk0_48=sk0_50),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f423,plain,(
% 0.20/0.37 sk0_47=sk0_49),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f424,plain,(
% 0.20/0.37 ssList(sk0_51)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f425,plain,(
% 0.20/0.37 app(sk0_49,sk0_51)=sk0_50),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f428,plain,(
% 0.20/0.37 ~segmentP(sk0_48,sk0_47)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f443,plain,(
% 0.20/0.37 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.20/0.37 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.20/0.37 fof(f470,plain,(
% 0.20/0.37 app(sk0_47,sk0_51)=sk0_50),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f423,f425])).
% 0.20/0.37 fof(f471,plain,(
% 0.20/0.37 app(sk0_47,sk0_51)=sk0_48),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f422,f470])).
% 0.20/0.37 fof(f475,plain,(
% 0.20/0.37 spl0_3 <=> ssList(sk0_51)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f477,plain,(
% 0.20/0.37 ~ssList(sk0_51)|spl0_3),
% 0.20/0.37 inference(component_clause,[status(thm)],[f475])).
% 0.20/0.37 fof(f478,plain,(
% 0.20/0.37 spl0_4 <=> ssList(sk0_47)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f480,plain,(
% 0.20/0.37 ~ssList(sk0_47)|spl0_4),
% 0.20/0.37 inference(component_clause,[status(thm)],[f478])).
% 0.20/0.37 fof(f483,plain,(
% 0.20/0.37 $false|spl0_4),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f480,f418])).
% 0.20/0.37 fof(f484,plain,(
% 0.20/0.37 spl0_4),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f483])).
% 0.20/0.37 fof(f485,plain,(
% 0.20/0.37 $false|spl0_3),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f477,f424])).
% 0.20/0.37 fof(f486,plain,(
% 0.20/0.37 spl0_3),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f485])).
% 0.20/0.37 fof(f499,plain,(
% 0.20/0.37 app(nil,sk0_47)=sk0_47),
% 0.20/0.37 inference(resolution,[status(thm)],[f249,f418])).
% 0.20/0.37 fof(f503,plain,(
% 0.20/0.37 spl0_6 <=> ssList(nil)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f505,plain,(
% 0.20/0.37 ~ssList(nil)|spl0_6),
% 0.20/0.37 inference(component_clause,[status(thm)],[f503])).
% 0.20/0.37 fof(f508,plain,(
% 0.20/0.37 $false|spl0_6),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f505,f223])).
% 0.20/0.37 fof(f509,plain,(
% 0.20/0.37 spl0_6),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f508])).
% 0.20/0.37 fof(f522,plain,(
% 0.20/0.37 spl0_9 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f523,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)|~spl0_9)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f522])).
% 0.20/0.37 fof(f525,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_47)|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(nil)|~ssList(X0))),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f499,f443])).
% 0.20/0.37 fof(f526,plain,(
% 0.20/0.37 spl0_9|~spl0_4|~spl0_6),
% 0.20/0.37 inference(split_clause,[status(thm)],[f525,f522,f478,f503])).
% 0.20/0.37 fof(f527,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_47)|~ssList(X0)|~spl0_9)),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f499,f523])).
% 0.20/0.37 fof(f528,plain,(
% 0.20/0.37 spl0_10 <=> ssList(app(sk0_47,sk0_51))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f530,plain,(
% 0.20/0.37 ~ssList(app(sk0_47,sk0_51))|spl0_10),
% 0.20/0.37 inference(component_clause,[status(thm)],[f528])).
% 0.20/0.37 fof(f531,plain,(
% 0.20/0.37 spl0_11 <=> segmentP(sk0_48,sk0_47)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f532,plain,(
% 0.20/0.37 segmentP(sk0_48,sk0_47)|~spl0_11),
% 0.20/0.37 inference(component_clause,[status(thm)],[f531])).
% 0.20/0.37 fof(f534,plain,(
% 0.20/0.37 ~ssList(app(sk0_47,sk0_51))|segmentP(sk0_48,sk0_47)|~ssList(sk0_51)|~spl0_9),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f471,f527])).
% 0.20/0.37 fof(f535,plain,(
% 0.20/0.37 ~spl0_10|spl0_11|~spl0_3|~spl0_9),
% 0.20/0.37 inference(split_clause,[status(thm)],[f534,f528,f531,f475,f522])).
% 0.20/0.37 fof(f536,plain,(
% 0.20/0.37 ~ssList(sk0_48)|spl0_10),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f471,f530])).
% 0.20/0.37 fof(f537,plain,(
% 0.20/0.37 $false|spl0_10),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f536,f419])).
% 0.20/0.37 fof(f538,plain,(
% 0.20/0.37 spl0_10),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f537])).
% 0.20/0.37 fof(f539,plain,(
% 0.20/0.37 $false|~spl0_11),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f532,f428])).
% 0.20/0.37 fof(f540,plain,(
% 0.20/0.37 ~spl0_11),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f539])).
% 0.20/0.37 fof(f541,plain,(
% 0.20/0.37 $false),
% 0.20/0.37 inference(sat_refutation,[status(thm)],[f484,f486,f509,f526,f535,f538,f540])).
% 0.20/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.38 % Elapsed time: 0.030604 seconds
% 0.20/0.38 % CPU time: 0.053848 seconds
% 0.20/0.38 % Memory used: 18.155 MB
%------------------------------------------------------------------------------