TSTP Solution File: SWC397+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC397+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:40:19 EDT 2023
% Result : Theorem 0.20s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC397+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n005.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 11:20:06 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 0.20/0.39 % Refutation found
% 0.20/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.39 fof(f15,axiom,(
% 0.20/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f16,axiom,(
% 0.20/0.39 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f17,axiom,(
% 0.20/0.39 ssList(nil) ),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f36,axiom,(
% 0.20/0.39 (! [U] :( ssItem(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( memberP(app(V,W),U)<=> ( memberP(V,U)| memberP(W,U) ) ) ) )) )) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f38,axiom,(
% 0.20/0.39 (! [U] :( ssItem(U)=> ~ memberP(nil,U) ) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f96,conjecture,(
% 0.20/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssItem(Y)=> ( ~ memberP(U,Y)| memberP(V,Y) ) ))| ( nil != W& nil = X )| ( (! [Z] :( ssItem(Z)=> (! [X1] :( ssList(X1)=> ( app(cons(Z,nil),X1) != W| app(X1,cons(Z,nil)) != X ) ) )))& neq(X,nil) ) ) ) )) )) )) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f97,negated_conjecture,(
% 0.20/0.39 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssItem(Y)=> ( ~ memberP(U,Y)| memberP(V,Y) ) ))| ( nil != W& nil = X )| ( (! [Z] :( ssItem(Z)=> (! [X1] :( ssList(X1)=> ( app(cons(Z,nil),X1) != W| app(X1,cons(Z,nil)) != X ) ) )))& neq(X,nil) ) ) ) )) )) )) ))),
% 0.20/0.39 inference(negated_conjecture,[status(cth)],[f96])).
% 0.20/0.39 fof(f217,plain,(
% 0.20/0.39 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.20/0.39 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.20/0.39 fof(f218,plain,(
% 0.20/0.39 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.20/0.39 inference(NNF_transformation,[status(esa)],[f217])).
% 0.20/0.39 fof(f220,plain,(
% 0.20/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f218])).
% 0.20/0.39 fof(f221,plain,(
% 0.20/0.39 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 0.20/0.39 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.20/0.39 fof(f222,plain,(
% 0.20/0.39 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f221])).
% 0.20/0.39 fof(f223,plain,(
% 0.20/0.39 ssList(nil)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.39 fof(f268,plain,(
% 0.20/0.39 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(memberP(app(V,W),U)<=>(memberP(V,U)|memberP(W,U))))))))),
% 0.20/0.39 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.20/0.39 fof(f269,plain,(
% 0.20/0.39 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~memberP(app(V,W),U)|(memberP(V,U)|memberP(W,U)))&(memberP(app(V,W),U)|(~memberP(V,U)&~memberP(W,U)))))))))),
% 0.20/0.39 inference(NNF_transformation,[status(esa)],[f268])).
% 0.20/0.39 fof(f270,plain,(
% 0.20/0.39 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~memberP(app(X1,X2),X0)|memberP(X1,X0)|memberP(X2,X0))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f269])).
% 0.20/0.40 fof(f271,plain,(
% 0.20/0.40 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X1,X0))),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f269])).
% 0.20/0.40 fof(f272,plain,(
% 0.20/0.40 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X2,X0))),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f269])).
% 0.20/0.40 fof(f278,plain,(
% 0.20/0.40 ![U]: (~ssItem(U)|~memberP(nil,U))),
% 0.20/0.40 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.20/0.40 fof(f279,plain,(
% 0.20/0.40 ![X0]: (~ssItem(X0)|~memberP(nil,X0))),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f278])).
% 0.20/0.40 fof(f415,plain,(
% 0.20/0.40 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssItem(Y)&(memberP(U,Y)&~memberP(V,Y)))))&(nil=W|~nil=X))&((?[Z]: (ssItem(Z)&(?[X1]: (ssList(X1)&(app(cons(Z,nil),X1)=W&app(X1,cons(Z,nil))=X)))))|~neq(X,nil)))))))))))),
% 0.20/0.40 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.20/0.40 fof(f416,plain,(
% 0.20/0.40 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&(ssItem(sk0_51)&(memberP(sk0_47,sk0_51)&~memberP(sk0_48,sk0_51))))&(nil=sk0_49|~nil=sk0_50))&((ssItem(sk0_52)&(ssList(sk0_53)&(app(cons(sk0_52,nil),sk0_53)=sk0_49&app(sk0_53,cons(sk0_52,nil))=sk0_50)))|~neq(sk0_50,nil)))))))),
% 0.20/0.40 inference(skolemization,[status(esa)],[f415])).
% 0.20/0.40 fof(f418,plain,(
% 0.20/0.40 ssList(sk0_48)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f416])).
% 0.20/0.40 fof(f421,plain,(
% 0.20/0.40 sk0_48=sk0_50),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f416])).
% 0.20/0.40 fof(f422,plain,(
% 0.20/0.40 sk0_47=sk0_49),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f416])).
% 0.20/0.40 fof(f423,plain,(
% 0.20/0.40 ssItem(sk0_51)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f416])).
% 0.20/0.40 fof(f424,plain,(
% 0.20/0.40 memberP(sk0_47,sk0_51)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f416])).
% 0.20/0.40 fof(f425,plain,(
% 0.20/0.40 ~memberP(sk0_48,sk0_51)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f416])).
% 0.20/0.40 fof(f426,plain,(
% 0.20/0.40 nil=sk0_49|~nil=sk0_50),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f416])).
% 0.20/0.40 fof(f427,plain,(
% 0.20/0.40 ssItem(sk0_52)|~neq(sk0_50,nil)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f416])).
% 0.20/0.40 fof(f428,plain,(
% 0.20/0.40 ssList(sk0_53)|~neq(sk0_50,nil)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f416])).
% 0.20/0.40 fof(f429,plain,(
% 0.20/0.40 app(cons(sk0_52,nil),sk0_53)=sk0_49|~neq(sk0_50,nil)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f416])).
% 0.20/0.40 fof(f430,plain,(
% 0.20/0.40 app(sk0_53,cons(sk0_52,nil))=sk0_50|~neq(sk0_50,nil)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f416])).
% 0.20/0.40 fof(f431,plain,(
% 0.20/0.40 spl0_0 <=> nil=sk0_49),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f432,plain,(
% 0.20/0.40 nil=sk0_49|~spl0_0),
% 0.20/0.40 inference(component_clause,[status(thm)],[f431])).
% 0.20/0.40 fof(f434,plain,(
% 0.20/0.40 spl0_1 <=> nil=sk0_50),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f436,plain,(
% 0.20/0.40 ~nil=sk0_50|spl0_1),
% 0.20/0.40 inference(component_clause,[status(thm)],[f434])).
% 0.20/0.40 fof(f437,plain,(
% 0.20/0.40 spl0_0|~spl0_1),
% 0.20/0.40 inference(split_clause,[status(thm)],[f426,f431,f434])).
% 0.20/0.40 fof(f438,plain,(
% 0.20/0.40 spl0_2 <=> ssItem(sk0_52)),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f441,plain,(
% 0.20/0.40 spl0_3 <=> neq(sk0_50,nil)),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f443,plain,(
% 0.20/0.40 ~neq(sk0_50,nil)|spl0_3),
% 0.20/0.40 inference(component_clause,[status(thm)],[f441])).
% 0.20/0.40 fof(f444,plain,(
% 0.20/0.40 spl0_2|~spl0_3),
% 0.20/0.40 inference(split_clause,[status(thm)],[f427,f438,f441])).
% 0.20/0.40 fof(f445,plain,(
% 0.20/0.40 spl0_4 <=> ssList(sk0_53)),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f448,plain,(
% 0.20/0.40 spl0_4|~spl0_3),
% 0.20/0.40 inference(split_clause,[status(thm)],[f428,f445,f441])).
% 0.20/0.40 fof(f449,plain,(
% 0.20/0.40 spl0_5 <=> app(cons(sk0_52,nil),sk0_53)=sk0_49),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f450,plain,(
% 0.20/0.40 app(cons(sk0_52,nil),sk0_53)=sk0_49|~spl0_5),
% 0.20/0.40 inference(component_clause,[status(thm)],[f449])).
% 0.20/0.40 fof(f452,plain,(
% 0.20/0.40 spl0_5|~spl0_3),
% 0.20/0.40 inference(split_clause,[status(thm)],[f429,f449,f441])).
% 0.20/0.40 fof(f453,plain,(
% 0.20/0.40 spl0_6 <=> app(sk0_53,cons(sk0_52,nil))=sk0_50),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f454,plain,(
% 0.20/0.40 app(sk0_53,cons(sk0_52,nil))=sk0_50|~spl0_6),
% 0.20/0.40 inference(component_clause,[status(thm)],[f453])).
% 0.20/0.40 fof(f456,plain,(
% 0.20/0.40 spl0_6|~spl0_3),
% 0.20/0.40 inference(split_clause,[status(thm)],[f430,f453,f441])).
% 0.20/0.40 fof(f488,plain,(
% 0.20/0.40 ~nil=sk0_48|spl0_1),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f421,f436])).
% 0.20/0.40 fof(f489,plain,(
% 0.20/0.40 ~neq(sk0_48,nil)|spl0_3),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f421,f443])).
% 0.20/0.40 fof(f497,plain,(
% 0.20/0.40 spl0_9 <=> sk0_48=nil),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f498,plain,(
% 0.20/0.40 sk0_48=nil|~spl0_9),
% 0.20/0.40 inference(component_clause,[status(thm)],[f497])).
% 0.20/0.40 fof(f502,plain,(
% 0.20/0.40 spl0_10 <=> ssList(sk0_48)),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f504,plain,(
% 0.20/0.40 ~ssList(sk0_48)|spl0_10),
% 0.20/0.40 inference(component_clause,[status(thm)],[f502])).
% 0.20/0.40 fof(f505,plain,(
% 0.20/0.40 spl0_11 <=> ssList(nil)),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f507,plain,(
% 0.20/0.40 ~ssList(nil)|spl0_11),
% 0.20/0.40 inference(component_clause,[status(thm)],[f505])).
% 0.20/0.40 fof(f508,plain,(
% 0.20/0.40 ~ssList(sk0_48)|~ssList(nil)|sk0_48=nil|spl0_3),
% 0.20/0.40 inference(resolution,[status(thm)],[f220,f489])).
% 0.20/0.40 fof(f509,plain,(
% 0.20/0.40 ~spl0_10|~spl0_11|spl0_9|spl0_3),
% 0.20/0.40 inference(split_clause,[status(thm)],[f508,f502,f505,f497,f441])).
% 0.20/0.40 fof(f510,plain,(
% 0.20/0.40 $false|spl0_11),
% 0.20/0.40 inference(forward_subsumption_resolution,[status(thm)],[f507,f223])).
% 0.20/0.40 fof(f511,plain,(
% 0.20/0.40 spl0_11),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f510])).
% 0.20/0.40 fof(f512,plain,(
% 0.20/0.40 $false|spl0_10),
% 0.20/0.40 inference(forward_subsumption_resolution,[status(thm)],[f504,f418])).
% 0.20/0.40 fof(f513,plain,(
% 0.20/0.40 spl0_10),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f512])).
% 0.20/0.40 fof(f514,plain,(
% 0.20/0.40 app(cons(sk0_52,nil),sk0_53)=sk0_47|~spl0_5),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f422,f450])).
% 0.20/0.40 fof(f515,plain,(
% 0.20/0.40 app(sk0_53,cons(sk0_52,nil))=sk0_48|~spl0_6),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f421,f454])).
% 0.20/0.40 fof(f517,plain,(
% 0.20/0.40 spl0_12 <=> ssList(cons(sk0_52,nil))),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f519,plain,(
% 0.20/0.40 ~ssList(cons(sk0_52,nil))|spl0_12),
% 0.20/0.40 inference(component_clause,[status(thm)],[f517])).
% 0.20/0.40 fof(f527,plain,(
% 0.20/0.40 ~ssList(nil)|~ssItem(sk0_52)|spl0_12),
% 0.20/0.40 inference(resolution,[status(thm)],[f519,f222])).
% 0.20/0.40 fof(f528,plain,(
% 0.20/0.40 ~spl0_11|~spl0_2|spl0_12),
% 0.20/0.40 inference(split_clause,[status(thm)],[f527,f505,f438,f517])).
% 0.20/0.40 fof(f529,plain,(
% 0.20/0.40 spl0_14 <=> ~ssItem(X0)|memberP(sk0_48,X0)|~memberP(sk0_53,X0)),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f530,plain,(
% 0.20/0.40 ![X0]: (~ssItem(X0)|memberP(sk0_48,X0)|~memberP(sk0_53,X0)|~spl0_14)),
% 0.20/0.40 inference(component_clause,[status(thm)],[f529])).
% 0.20/0.40 fof(f532,plain,(
% 0.20/0.40 ![X0]: (~ssItem(X0)|~ssList(sk0_53)|~ssList(cons(sk0_52,nil))|memberP(sk0_48,X0)|~memberP(sk0_53,X0)|~spl0_6)),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f515,f271])).
% 0.20/0.40 fof(f533,plain,(
% 0.20/0.40 spl0_14|~spl0_4|~spl0_12|~spl0_6),
% 0.20/0.40 inference(split_clause,[status(thm)],[f532,f529,f445,f517,f453])).
% 0.20/0.40 fof(f556,plain,(
% 0.20/0.40 spl0_19 <=> ~ssItem(X0)|memberP(sk0_48,X0)|~memberP(cons(sk0_52,nil),X0)),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f557,plain,(
% 0.20/0.40 ![X0]: (~ssItem(X0)|memberP(sk0_48,X0)|~memberP(cons(sk0_52,nil),X0)|~spl0_19)),
% 0.20/0.40 inference(component_clause,[status(thm)],[f556])).
% 0.20/0.40 fof(f559,plain,(
% 0.20/0.40 ![X0]: (~ssItem(X0)|~ssList(sk0_53)|~ssList(cons(sk0_52,nil))|memberP(sk0_48,X0)|~memberP(cons(sk0_52,nil),X0)|~spl0_6)),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f515,f272])).
% 0.20/0.40 fof(f560,plain,(
% 0.20/0.40 spl0_19|~spl0_4|~spl0_12|~spl0_6),
% 0.20/0.40 inference(split_clause,[status(thm)],[f559,f556,f445,f517,f453])).
% 0.20/0.40 fof(f587,plain,(
% 0.20/0.40 spl0_24 <=> ~ssItem(X0)|~memberP(sk0_47,X0)|memberP(cons(sk0_52,nil),X0)|memberP(sk0_53,X0)),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f588,plain,(
% 0.20/0.40 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|memberP(cons(sk0_52,nil),X0)|memberP(sk0_53,X0)|~spl0_24)),
% 0.20/0.40 inference(component_clause,[status(thm)],[f587])).
% 0.20/0.40 fof(f590,plain,(
% 0.20/0.40 ![X0]: (~ssItem(X0)|~ssList(cons(sk0_52,nil))|~ssList(sk0_53)|~memberP(sk0_47,X0)|memberP(cons(sk0_52,nil),X0)|memberP(sk0_53,X0)|~spl0_5)),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f514,f270])).
% 0.20/0.40 fof(f591,plain,(
% 0.20/0.40 spl0_24|~spl0_12|~spl0_4|~spl0_5),
% 0.20/0.40 inference(split_clause,[status(thm)],[f590,f587,f517,f445,f449])).
% 0.20/0.40 fof(f592,plain,(
% 0.20/0.40 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|memberP(sk0_53,X0)|~ssItem(X0)|memberP(sk0_48,X0)|~spl0_24|~spl0_19)),
% 0.20/0.40 inference(resolution,[status(thm)],[f588,f557])).
% 0.20/0.40 fof(f593,plain,(
% 0.20/0.40 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|memberP(sk0_53,X0)|memberP(sk0_48,X0)|~spl0_24|~spl0_19)),
% 0.20/0.40 inference(duplicate_literals_removal,[status(esa)],[f592])).
% 0.20/0.40 fof(f594,plain,(
% 0.20/0.40 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|memberP(sk0_48,X0)|~spl0_14|~spl0_24|~spl0_19)),
% 0.20/0.40 inference(forward_subsumption_resolution,[status(thm)],[f593,f530])).
% 0.20/0.40 fof(f602,plain,(
% 0.20/0.40 spl0_26 <=> ssItem(sk0_51)),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f604,plain,(
% 0.20/0.40 ~ssItem(sk0_51)|spl0_26),
% 0.20/0.40 inference(component_clause,[status(thm)],[f602])).
% 0.20/0.40 fof(f605,plain,(
% 0.20/0.40 spl0_27 <=> memberP(sk0_47,sk0_51)),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f607,plain,(
% 0.20/0.40 ~memberP(sk0_47,sk0_51)|spl0_27),
% 0.20/0.40 inference(component_clause,[status(thm)],[f605])).
% 0.20/0.40 fof(f608,plain,(
% 0.20/0.40 ~ssItem(sk0_51)|~memberP(sk0_47,sk0_51)|~spl0_14|~spl0_24|~spl0_19),
% 0.20/0.40 inference(resolution,[status(thm)],[f594,f425])).
% 0.20/0.40 fof(f609,plain,(
% 0.20/0.40 ~spl0_26|~spl0_27|~spl0_14|~spl0_24|~spl0_19),
% 0.20/0.40 inference(split_clause,[status(thm)],[f608,f602,f605,f529,f587,f556])).
% 0.20/0.40 fof(f610,plain,(
% 0.20/0.40 $false|spl0_26),
% 0.20/0.40 inference(forward_subsumption_resolution,[status(thm)],[f604,f423])).
% 0.20/0.40 fof(f611,plain,(
% 0.20/0.40 spl0_26),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f610])).
% 0.20/0.40 fof(f612,plain,(
% 0.20/0.40 $false|spl0_27),
% 0.20/0.40 inference(forward_subsumption_resolution,[status(thm)],[f607,f424])).
% 0.20/0.40 fof(f613,plain,(
% 0.20/0.40 spl0_27),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f612])).
% 0.20/0.40 fof(f614,plain,(
% 0.20/0.40 $false|spl0_1|~spl0_9),
% 0.20/0.40 inference(forward_subsumption_resolution,[status(thm)],[f498,f488])).
% 0.20/0.40 fof(f615,plain,(
% 0.20/0.40 spl0_1|~spl0_9),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f614])).
% 0.20/0.40 fof(f616,plain,(
% 0.20/0.40 nil=sk0_47|~spl0_0),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f422,f432])).
% 0.20/0.40 fof(f624,plain,(
% 0.20/0.40 memberP(nil,sk0_51)|~spl0_0),
% 0.20/0.40 inference(backward_demodulation,[status(thm)],[f616,f424])).
% 0.20/0.40 fof(f639,plain,(
% 0.20/0.40 ~ssItem(sk0_51)|~spl0_0),
% 0.20/0.40 inference(resolution,[status(thm)],[f624,f279])).
% 0.20/0.40 fof(f640,plain,(
% 0.20/0.40 ~spl0_26|~spl0_0),
% 0.20/0.40 inference(split_clause,[status(thm)],[f639,f602,f431])).
% 0.20/0.40 fof(f641,plain,(
% 0.20/0.40 $false),
% 0.20/0.40 inference(sat_refutation,[status(thm)],[f437,f444,f448,f452,f456,f509,f511,f513,f528,f533,f560,f591,f609,f611,f613,f615,f640])).
% 0.20/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.41 % Elapsed time: 0.062684 seconds
% 0.20/0.41 % CPU time: 0.302535 seconds
% 0.20/0.41 % Memory used: 38.215 MB
%------------------------------------------------------------------------------