TSTP Solution File: SWC366+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC366+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:40:13 EDT 2023
% Result : Theorem 1.28s 0.61s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC366+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:23:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.36 % Drodi V3.5.1
% 1.28/0.61 % Refutation found
% 1.28/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.28/0.61 % SZS output start CNFRefutation for theBenchmark
% 1.28/0.61 fof(f3,axiom,(
% 1.28/0.61 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ( memberP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(W,cons(V,X)) = U ) )) )) ) )) )),
% 1.28/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.28/0.61 fof(f6,axiom,(
% 1.28/0.61 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( rearsegP(U,V)<=> (? [W] :( ssList(W)& app(W,V) = U ) )) ) )) )),
% 1.28/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.28/0.61 fof(f15,axiom,(
% 1.28/0.61 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 1.28/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.28/0.61 fof(f16,axiom,(
% 1.28/0.61 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 1.28/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.28/0.61 fof(f17,axiom,(
% 1.28/0.61 ssList(nil) ),
% 1.28/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.28/0.61 fof(f19,axiom,(
% 1.28/0.61 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssItem(X)=> ( cons(W,U) = cons(X,V)=> ( W = X& V = U ) ) ) )) )) )) )),
% 1.28/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.28/0.61 fof(f22,axiom,(
% 1.28/0.61 (! [U] :( ssList(U)=> ( nil != U=> ssItem(hd(U)) ) ) )),
% 1.28/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.28/0.61 fof(f26,axiom,(
% 1.28/0.61 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 1.28/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.28/0.61 fof(f28,axiom,(
% 1.28/0.61 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 1.28/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.28/0.61 fof(f51,axiom,(
% 1.28/0.61 (! [U] :( ssList(U)=> rearsegP(U,nil) ) )),
% 1.28/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.28/0.61 fof(f52,axiom,(
% 1.28/0.61 (! [U] :( ssList(U)=> ( rearsegP(nil,U)<=> nil = U ) ) )),
% 1.28/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.28/0.61 fof(f83,axiom,(
% 1.28/0.61 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil = app(U,V)<=> ( nil = V& nil = U ) ) ) )) )),
% 1.28/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.28/0.61 fof(f84,axiom,(
% 1.28/0.61 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 1.28/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.28/0.61 fof(f96,conjecture,(
% 1.28/0.61 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& X != Y& (? [Z] :( ssList(Z)& app(Z,W) = Y& (? [X1] :( ssItem(X1)& cons(X1,nil) = Z& hd(X) = X1& neq(nil,X) ) )) )))| rearsegP(V,U) )& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 1.28/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.28/0.61 fof(f97,negated_conjecture,(
% 1.28/0.61 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& X != Y& (? [Z] :( ssList(Z)& app(Z,W) = Y& (? [X1] :( ssItem(X1)& cons(X1,nil) = Z& hd(X) = X1& neq(nil,X) ) )) )))| rearsegP(V,U) )& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 1.28/0.61 inference(negated_conjecture,[status(cth)],[f96])).
% 1.28/0.61 fof(f106,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|(memberP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U))))))))),
% 1.28/0.61 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 1.28/0.61 fof(f107,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U)))))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 1.28/0.61 inference(NNF_transformation,[status(esa)],[f106])).
% 1.28/0.61 fof(f108,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(ssList(sk0_2(V,U))&(ssList(sk0_3(V,U))&app(sk0_2(V,U),cons(V,sk0_3(V,U)))=U)))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 1.28/0.61 inference(skolemization,[status(esa)],[f107])).
% 1.28/0.61 fof(f109,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~memberP(X0,X1)|ssList(sk0_2(X1,X0)))),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f108])).
% 1.28/0.61 fof(f111,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~memberP(X0,X1)|app(sk0_2(X1,X0),cons(X1,sk0_3(X1,X0)))=X0)),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f108])).
% 1.28/0.61 fof(f125,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(rearsegP(U,V)<=>(?[W]: (ssList(W)&app(W,V)=U))))))),
% 1.28/0.61 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 1.28/0.61 fof(f126,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|(?[W]: (ssList(W)&app(W,V)=U)))&(rearsegP(U,V)|(![W]: (~ssList(W)|~app(W,V)=U)))))))),
% 1.28/0.61 inference(NNF_transformation,[status(esa)],[f125])).
% 1.28/0.61 fof(f127,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|(ssList(sk0_6(V,U))&app(sk0_6(V,U),V)=U))&(rearsegP(U,V)|(![W]: (~ssList(W)|~app(W,V)=U)))))))),
% 1.28/0.61 inference(skolemization,[status(esa)],[f126])).
% 1.28/0.61 fof(f130,plain,(
% 1.28/0.61 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|rearsegP(X0,X1)|~ssList(X2)|~app(X2,X1)=X0)),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f127])).
% 1.28/0.61 fof(f217,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 1.28/0.61 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 1.28/0.61 fof(f218,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 1.28/0.61 inference(NNF_transformation,[status(esa)],[f217])).
% 1.28/0.61 fof(f219,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f218])).
% 1.28/0.61 fof(f220,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f218])).
% 1.28/0.61 fof(f221,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 1.28/0.61 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 1.28/0.61 fof(f222,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f221])).
% 1.28/0.61 fof(f223,plain,(
% 1.28/0.61 ssList(nil)),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f17])).
% 1.28/0.61 fof(f226,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssItem(W)|(![X]: (~ssItem(X)|(~cons(W,U)=cons(X,V)|(W=X&V=U)))))))))),
% 1.28/0.61 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 1.28/0.61 fof(f227,plain,(
% 1.28/0.61 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X2=X3)),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f226])).
% 1.28/0.61 fof(f236,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(nil=U|ssItem(hd(U))))),
% 1.28/0.61 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 1.28/0.61 fof(f237,plain,(
% 1.28/0.61 ![X0]: (~ssList(X0)|nil=X0|ssItem(hd(X0)))),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f236])).
% 1.28/0.61 fof(f244,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 1.28/0.61 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 1.28/0.61 fof(f245,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f244])).
% 1.28/0.61 fof(f248,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|app(nil,U)=U)),
% 1.28/0.61 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 1.28/0.61 fof(f249,plain,(
% 1.28/0.61 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f248])).
% 1.28/0.61 fof(f308,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|rearsegP(U,nil))),
% 1.28/0.61 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 1.28/0.61 fof(f309,plain,(
% 1.28/0.61 ![X0]: (~ssList(X0)|rearsegP(X0,nil))),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f308])).
% 1.28/0.61 fof(f310,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(rearsegP(nil,U)<=>nil=U))),
% 1.28/0.61 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 1.28/0.61 fof(f311,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|((~rearsegP(nil,U)|nil=U)&(rearsegP(nil,U)|~nil=U)))),
% 1.28/0.61 inference(NNF_transformation,[status(esa)],[f310])).
% 1.28/0.61 fof(f312,plain,(
% 1.28/0.61 ![X0]: (~ssList(X0)|~rearsegP(nil,X0)|nil=X0)),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f311])).
% 1.28/0.61 fof(f383,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=app(U,V)<=>(nil=V&nil=U)))))),
% 1.28/0.61 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 1.28/0.61 fof(f384,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~nil=app(U,V)|(nil=V&nil=U))&(nil=app(U,V)|(~nil=V|~nil=U))))))),
% 1.28/0.61 inference(NNF_transformation,[status(esa)],[f383])).
% 1.28/0.61 fof(f385,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X1)),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f384])).
% 1.28/0.61 fof(f388,plain,(
% 1.28/0.61 ![U]: (~ssList(U)|app(U,nil)=U)),
% 1.28/0.61 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 1.28/0.61 fof(f389,plain,(
% 1.28/0.61 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f388])).
% 1.28/0.61 fof(f415,plain,(
% 1.28/0.61 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(((neq(V,nil)&(![Y]: ((~ssList(Y)|X=Y)|(![Z]: ((~ssList(Z)|~app(Z,W)=Y)|(![X1]: (((~ssItem(X1)|~cons(X1,nil)=Z)|~hd(X)=X1)|~neq(nil,X))))))))&~rearsegP(V,U))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 1.28/0.61 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 1.28/0.61 fof(f416,plain,(
% 1.28/0.61 ![U,V,W,X]: (pd0_0(X,W,V,U)=>((neq(V,nil)&(![Y]: ((~ssList(Y)|X=Y)|(![Z]: ((~ssList(Z)|~app(Z,W)=Y)|(![X1]: (((~ssItem(X1)|~cons(X1,nil)=Z)|~hd(X)=X1)|~neq(nil,X))))))))&~rearsegP(V,U)))),
% 1.28/0.61 introduced(predicate_definition,[f415])).
% 1.28/0.61 fof(f417,plain,(
% 1.28/0.61 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(pd0_0(X,W,V,U)|(neq(V,nil)&~neq(X,nil)))))))))))),
% 1.28/0.61 inference(formula_renaming,[status(thm)],[f415,f416])).
% 1.28/0.61 fof(f418,plain,(
% 1.28/0.61 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((sk0_48=sk0_50&sk0_47=sk0_49)&(pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|(neq(sk0_48,nil)&~neq(sk0_50,nil))))))))),
% 1.28/0.61 inference(skolemization,[status(esa)],[f417])).
% 1.28/0.61 fof(f419,plain,(
% 1.28/0.61 ssList(sk0_47)),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f418])).
% 1.28/0.61 fof(f420,plain,(
% 1.28/0.61 ssList(sk0_48)),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f418])).
% 1.28/0.61 fof(f423,plain,(
% 1.28/0.61 sk0_48=sk0_50),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f418])).
% 1.28/0.61 fof(f424,plain,(
% 1.28/0.61 sk0_47=sk0_49),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f418])).
% 1.28/0.61 fof(f425,plain,(
% 1.28/0.61 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|neq(sk0_48,nil)),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f418])).
% 1.28/0.61 fof(f426,plain,(
% 1.28/0.61 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~neq(sk0_50,nil)),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f418])).
% 1.28/0.61 fof(f427,plain,(
% 1.28/0.61 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: ((~ssList(Y)|X=Y)|(![Z]: ((~ssList(Z)|~app(Z,W)=Y)|(![X1]: (((~ssItem(X1)|~cons(X1,nil)=Z)|~hd(X)=X1)|~neq(nil,X))))))))&~rearsegP(V,U)))),
% 1.28/0.61 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 1.28/0.61 fof(f428,plain,(
% 1.28/0.61 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: ((~ssList(Y)|X=Y)|(![Z]: ((~ssList(Z)|~app(Z,W)=Y)|((![X1]: ((~ssItem(X1)|~cons(X1,nil)=Z)|~hd(X)=X1))|~neq(nil,X)))))))&~rearsegP(V,U)))),
% 1.28/0.61 inference(miniscoping,[status(esa)],[f427])).
% 1.28/0.61 fof(f429,plain,(
% 1.28/0.61 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|neq(X2,nil))),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f428])).
% 1.28/0.61 fof(f430,plain,(
% 1.28/0.61 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3)|~ssList(X4)|X0=X4|~ssList(X5)|~app(X5,X1)=X4|~ssItem(X6)|~cons(X6,nil)=X5|~hd(X0)=X6|~neq(nil,X0))),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f428])).
% 1.28/0.61 fof(f431,plain,(
% 1.28/0.61 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|~rearsegP(X2,X3))),
% 1.28/0.61 inference(cnf_transformation,[status(esa)],[f428])).
% 1.28/0.61 fof(f432,plain,(
% 1.28/0.61 spl0_0 <=> pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f433,plain,(
% 1.28/0.61 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 1.28/0.61 inference(component_clause,[status(thm)],[f432])).
% 1.28/0.61 fof(f435,plain,(
% 1.28/0.61 spl0_1 <=> neq(sk0_48,nil)),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f436,plain,(
% 1.28/0.61 neq(sk0_48,nil)|~spl0_1),
% 1.28/0.61 inference(component_clause,[status(thm)],[f435])).
% 1.28/0.61 fof(f438,plain,(
% 1.28/0.61 spl0_0|spl0_1),
% 1.28/0.61 inference(split_clause,[status(thm)],[f425,f432,f435])).
% 1.28/0.61 fof(f439,plain,(
% 1.28/0.61 spl0_2 <=> neq(sk0_50,nil)),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f441,plain,(
% 1.28/0.61 ~neq(sk0_50,nil)|spl0_2),
% 1.28/0.61 inference(component_clause,[status(thm)],[f439])).
% 1.28/0.61 fof(f442,plain,(
% 1.28/0.61 spl0_0|~spl0_2),
% 1.28/0.61 inference(split_clause,[status(thm)],[f426,f432,f439])).
% 1.28/0.61 fof(f447,plain,(
% 1.28/0.61 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 1.28/0.61 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 1.28/0.61 fof(f448,plain,(
% 1.28/0.61 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 1.28/0.61 inference(duplicate_literals_removal,[status(esa)],[f447])).
% 1.28/0.61 fof(f457,plain,(
% 1.28/0.61 ~neq(sk0_48,nil)|spl0_2),
% 1.28/0.61 inference(forward_demodulation,[status(thm)],[f423,f441])).
% 1.28/0.61 fof(f458,plain,(
% 1.28/0.61 pd0_0(sk0_48,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 1.28/0.61 inference(forward_demodulation,[status(thm)],[f423,f433])).
% 1.28/0.61 fof(f459,plain,(
% 1.28/0.61 pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 1.28/0.61 inference(forward_demodulation,[status(thm)],[f424,f458])).
% 1.28/0.61 fof(f462,plain,(
% 1.28/0.61 spl0_3 <=> ssList(nil)),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f464,plain,(
% 1.28/0.61 ~ssList(nil)|spl0_3),
% 1.28/0.61 inference(component_clause,[status(thm)],[f462])).
% 1.28/0.61 fof(f465,plain,(
% 1.28/0.61 spl0_4 <=> nil=nil),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f468,plain,(
% 1.28/0.61 ~ssList(nil)|nil=nil|~ssList(nil)),
% 1.28/0.61 inference(resolution,[status(thm)],[f312,f309])).
% 1.28/0.61 fof(f469,plain,(
% 1.28/0.61 ~spl0_3|spl0_4),
% 1.28/0.61 inference(split_clause,[status(thm)],[f468,f462,f465])).
% 1.28/0.61 fof(f472,plain,(
% 1.28/0.61 $false|spl0_3),
% 1.28/0.61 inference(forward_subsumption_resolution,[status(thm)],[f464,f223])).
% 1.28/0.61 fof(f473,plain,(
% 1.28/0.61 spl0_3),
% 1.28/0.61 inference(contradiction_clause,[status(thm)],[f472])).
% 1.28/0.61 fof(f474,plain,(
% 1.28/0.61 spl0_5 <=> ~ssList(X0)|~ssList(X0)|rearsegP(X0,X0)|~ssList(X0)),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f477,plain,(
% 1.28/0.61 ![X0]: (~ssList(X0)|~ssList(X0)|rearsegP(X0,X0)|~ssList(nil)|~ssList(X0))),
% 1.28/0.61 inference(resolution,[status(thm)],[f130,f249])).
% 1.28/0.61 fof(f478,plain,(
% 1.28/0.61 spl0_5|~spl0_3),
% 1.28/0.61 inference(split_clause,[status(thm)],[f477,f474,f462])).
% 1.28/0.61 fof(f479,plain,(
% 1.28/0.61 spl0_6 <=> ~ssList(X0)|rearsegP(X0,nil)|~ssList(X0)|~ssList(X0)),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f482,plain,(
% 1.28/0.61 ![X0]: (~ssList(X0)|~ssList(nil)|rearsegP(X0,nil)|~ssList(X0)|~ssList(X0))),
% 1.28/0.61 inference(resolution,[status(thm)],[f130,f389])).
% 1.28/0.61 fof(f483,plain,(
% 1.28/0.61 spl0_6|~spl0_3),
% 1.28/0.61 inference(split_clause,[status(thm)],[f482,f479,f462])).
% 1.28/0.61 fof(f503,plain,(
% 1.28/0.61 spl0_9 <=> sk0_48=nil),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f504,plain,(
% 1.28/0.61 sk0_48=nil|~spl0_9),
% 1.28/0.61 inference(component_clause,[status(thm)],[f503])).
% 1.28/0.61 fof(f509,plain,(
% 1.28/0.61 ~rearsegP(sk0_48,sk0_47)|~spl0_0),
% 1.28/0.61 inference(resolution,[status(thm)],[f459,f431])).
% 1.28/0.61 fof(f510,plain,(
% 1.28/0.61 spl0_10 <=> ~ssList(X0)|sk0_48=X0|~ssList(X1)|~app(X1,sk0_47)=X0|~ssItem(X2)|~cons(X2,nil)=X1|~hd(sk0_48)=X2),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f511,plain,(
% 1.28/0.61 ![X0,X1,X2]: (~ssList(X0)|sk0_48=X0|~ssList(X1)|~app(X1,sk0_47)=X0|~ssItem(X2)|~cons(X2,nil)=X1|~hd(sk0_48)=X2|~spl0_10)),
% 1.28/0.61 inference(component_clause,[status(thm)],[f510])).
% 1.28/0.61 fof(f513,plain,(
% 1.28/0.61 spl0_11 <=> neq(nil,sk0_48)),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f515,plain,(
% 1.28/0.61 ~neq(nil,sk0_48)|spl0_11),
% 1.28/0.61 inference(component_clause,[status(thm)],[f513])).
% 1.28/0.61 fof(f516,plain,(
% 1.28/0.61 ![X0,X1,X2]: (~ssList(X0)|sk0_48=X0|~ssList(X1)|~app(X1,sk0_47)=X0|~ssItem(X2)|~cons(X2,nil)=X1|~hd(sk0_48)=X2|~neq(nil,sk0_48)|~spl0_0)),
% 1.28/0.61 inference(resolution,[status(thm)],[f430,f459])).
% 1.28/0.61 fof(f517,plain,(
% 1.28/0.61 spl0_10|~spl0_11|~spl0_0),
% 1.28/0.61 inference(split_clause,[status(thm)],[f516,f510,f513,f432])).
% 1.28/0.61 fof(f520,plain,(
% 1.28/0.61 spl0_12 <=> ssList(sk0_47)),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f522,plain,(
% 1.28/0.61 ~ssList(sk0_47)|spl0_12),
% 1.28/0.61 inference(component_clause,[status(thm)],[f520])).
% 1.28/0.61 fof(f531,plain,(
% 1.28/0.61 ![X0,X1,X2]: (~ssList(app(sk0_2(X0,app(X1,sk0_47)),cons(X0,sk0_3(X0,app(X1,sk0_47)))))|sk0_48=app(sk0_2(X0,app(X1,sk0_47)),cons(X0,sk0_3(X0,app(X1,sk0_47))))|~ssList(X1)|~ssItem(X2)|~cons(X2,nil)=X1|~hd(sk0_48)=X2|~ssList(app(X1,sk0_47))|~ssItem(X0)|~memberP(app(X1,sk0_47),X0)|~spl0_10)),
% 1.28/0.61 inference(resolution,[status(thm)],[f511,f111])).
% 1.28/0.61 fof(f532,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(app(nil,app(X0,sk0_47)))|sk0_48=app(nil,app(X0,sk0_47))|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~ssList(app(X0,sk0_47))|~spl0_10)),
% 1.28/0.61 inference(resolution,[status(thm)],[f511,f249])).
% 1.28/0.61 fof(f533,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(app(app(X0,sk0_47),nil))|sk0_48=app(app(X0,sk0_47),nil)|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~ssList(app(X0,sk0_47))|~spl0_10)),
% 1.28/0.61 inference(resolution,[status(thm)],[f511,f389])).
% 1.28/0.61 fof(f534,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(app(X0,sk0_47))|sk0_48=app(X0,sk0_47)|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~spl0_10)),
% 1.28/0.61 inference(equality_resolution,[status(esa)],[f511])).
% 1.28/0.61 fof(f535,plain,(
% 1.28/0.61 $false|spl0_12),
% 1.28/0.61 inference(forward_subsumption_resolution,[status(thm)],[f522,f419])).
% 1.28/0.61 fof(f536,plain,(
% 1.28/0.61 spl0_12),
% 1.28/0.61 inference(contradiction_clause,[status(thm)],[f535])).
% 1.28/0.61 fof(f565,plain,(
% 1.28/0.61 ![X0,X1,X2]: (~ssList(sk0_2(X0,app(X1,sk0_47)))|~ssList(cons(X0,sk0_3(X0,app(X1,sk0_47))))|sk0_48=app(sk0_2(X0,app(X1,sk0_47)),cons(X0,sk0_3(X0,app(X1,sk0_47))))|~ssList(X1)|~ssItem(X2)|~cons(X2,nil)=X1|~hd(sk0_48)=X2|~ssList(app(X1,sk0_47))|~ssItem(X0)|~memberP(app(X1,sk0_47),X0)|~spl0_10)),
% 1.28/0.61 inference(resolution,[status(thm)],[f245,f531])).
% 1.28/0.61 fof(f566,plain,(
% 1.28/0.61 ![X0,X1,X2]: (~ssList(cons(X0,sk0_3(X0,app(X1,sk0_47))))|sk0_48=app(sk0_2(X0,app(X1,sk0_47)),cons(X0,sk0_3(X0,app(X1,sk0_47))))|~ssList(X1)|~ssItem(X2)|~cons(X2,nil)=X1|~hd(sk0_48)=X2|~ssList(app(X1,sk0_47))|~ssItem(X0)|~memberP(app(X1,sk0_47),X0)|~spl0_10)),
% 1.28/0.61 inference(forward_subsumption_resolution,[status(thm)],[f565,f109])).
% 1.28/0.61 fof(f567,plain,(
% 1.28/0.61 spl0_15 <=> ~ssList(app(X0,sk0_47))|sk0_48=app(nil,app(X0,sk0_47))|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~ssList(app(X0,sk0_47))),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f568,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(app(X0,sk0_47))|sk0_48=app(nil,app(X0,sk0_47))|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~ssList(app(X0,sk0_47))|~spl0_15)),
% 1.28/0.61 inference(component_clause,[status(thm)],[f567])).
% 1.28/0.61 fof(f570,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(nil)|~ssList(app(X0,sk0_47))|sk0_48=app(nil,app(X0,sk0_47))|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~ssList(app(X0,sk0_47))|~spl0_10)),
% 1.28/0.61 inference(resolution,[status(thm)],[f245,f532])).
% 1.28/0.61 fof(f571,plain,(
% 1.28/0.61 ~spl0_3|spl0_15|~spl0_10),
% 1.28/0.61 inference(split_clause,[status(thm)],[f570,f462,f567,f510])).
% 1.28/0.61 fof(f572,plain,(
% 1.28/0.61 spl0_16 <=> ~ssList(app(X0,sk0_47))|sk0_48=app(app(X0,sk0_47),nil)|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~ssList(app(X0,sk0_47))),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f575,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(app(X0,sk0_47))|~ssList(nil)|sk0_48=app(app(X0,sk0_47),nil)|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~ssList(app(X0,sk0_47))|~spl0_10)),
% 1.28/0.61 inference(resolution,[status(thm)],[f245,f533])).
% 1.28/0.61 fof(f576,plain,(
% 1.28/0.61 spl0_16|~spl0_3|~spl0_10),
% 1.28/0.61 inference(split_clause,[status(thm)],[f575,f572,f462,f510])).
% 1.28/0.61 fof(f577,plain,(
% 1.28/0.61 spl0_17 <=> ~ssList(X0)|sk0_48=app(X0,sk0_47)|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f578,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(X0)|sk0_48=app(X0,sk0_47)|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~spl0_17)),
% 1.28/0.61 inference(component_clause,[status(thm)],[f577])).
% 1.28/0.61 fof(f580,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(X0)|~ssList(sk0_47)|sk0_48=app(X0,sk0_47)|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~spl0_10)),
% 1.28/0.61 inference(resolution,[status(thm)],[f245,f534])).
% 1.28/0.61 fof(f581,plain,(
% 1.28/0.61 spl0_17|~spl0_12|~spl0_10),
% 1.28/0.61 inference(split_clause,[status(thm)],[f580,f577,f520,f510])).
% 1.28/0.61 fof(f582,plain,(
% 1.28/0.61 spl0_18 <=> ssList(sk0_48)),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f584,plain,(
% 1.28/0.61 ~ssList(sk0_48)|spl0_18),
% 1.28/0.61 inference(component_clause,[status(thm)],[f582])).
% 1.28/0.61 fof(f585,plain,(
% 1.28/0.61 ~ssList(nil)|~ssList(sk0_48)|nil=sk0_48|spl0_11),
% 1.28/0.61 inference(resolution,[status(thm)],[f515,f220])).
% 1.28/0.61 fof(f586,plain,(
% 1.28/0.61 ~spl0_3|~spl0_18|spl0_9|spl0_11),
% 1.28/0.61 inference(split_clause,[status(thm)],[f585,f462,f582,f503,f513])).
% 1.28/0.61 fof(f589,plain,(
% 1.28/0.61 $false|spl0_18),
% 1.28/0.61 inference(forward_subsumption_resolution,[status(thm)],[f584,f420])).
% 1.28/0.61 fof(f590,plain,(
% 1.28/0.61 spl0_18),
% 1.28/0.61 inference(contradiction_clause,[status(thm)],[f589])).
% 1.28/0.61 fof(f592,plain,(
% 1.28/0.61 ~neq(nil,nil)|~spl0_9|spl0_11),
% 1.28/0.61 inference(backward_demodulation,[status(thm)],[f504,f515])).
% 1.28/0.61 fof(f598,plain,(
% 1.28/0.61 neq(nil,nil)|~spl0_9|~spl0_1),
% 1.28/0.61 inference(backward_demodulation,[status(thm)],[f504,f436])).
% 1.28/0.61 fof(f599,plain,(
% 1.28/0.61 $false|spl0_11|~spl0_9|~spl0_1),
% 1.28/0.61 inference(forward_subsumption_resolution,[status(thm)],[f598,f592])).
% 1.28/0.61 fof(f600,plain,(
% 1.28/0.61 spl0_11|~spl0_9|~spl0_1),
% 1.28/0.61 inference(contradiction_clause,[status(thm)],[f599])).
% 1.28/0.61 fof(f602,plain,(
% 1.28/0.61 neq(sk0_48,nil)|~spl0_0),
% 1.28/0.61 inference(resolution,[status(thm)],[f459,f429])).
% 1.28/0.61 fof(f603,plain,(
% 1.28/0.61 spl0_1|~spl0_0),
% 1.28/0.61 inference(split_clause,[status(thm)],[f602,f435,f432])).
% 1.28/0.61 fof(f606,plain,(
% 1.28/0.61 ~spl0_1|spl0_2),
% 1.28/0.61 inference(split_clause,[status(thm)],[f457,f435,f439])).
% 1.28/0.61 fof(f608,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(app(X0,sk0_47))|sk0_48=app(nil,app(X0,sk0_47))|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~spl0_15)),
% 1.28/0.61 inference(duplicate_literals_removal,[status(esa)],[f568])).
% 1.28/0.61 fof(f610,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(X0)|sk0_48=app(X0,sk0_47)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~spl0_17)),
% 1.28/0.61 inference(duplicate_literals_removal,[status(esa)],[f578])).
% 1.28/0.61 fof(f615,plain,(
% 1.28/0.61 spl0_19 <=> ~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=cons(X0,sk0_3(X0,nil))|~ssItem(X0)|~memberP(nil,X0)),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f618,plain,(
% 1.28/0.61 ![X0]: (~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=cons(X0,sk0_3(X0,nil))|~ssList(nil)|~ssItem(X0)|~memberP(nil,X0))),
% 1.28/0.61 inference(resolution,[status(thm)],[f385,f111])).
% 1.28/0.61 fof(f619,plain,(
% 1.28/0.61 spl0_19|~spl0_3),
% 1.28/0.61 inference(split_clause,[status(thm)],[f618,f615,f462])).
% 1.28/0.61 fof(f624,plain,(
% 1.28/0.61 spl0_20 <=> ~ssList(X0)|~ssList(X0)),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f625,plain,(
% 1.28/0.61 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_20)),
% 1.28/0.61 inference(component_clause,[status(thm)],[f624])).
% 1.28/0.61 fof(f627,plain,(
% 1.28/0.61 spl0_21 <=> ~ssItem(X1)|~ssItem(X1)|X1=X1),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f630,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X1=X1)),
% 1.28/0.61 inference(equality_resolution,[status(esa)],[f227])).
% 1.28/0.61 fof(f631,plain,(
% 1.28/0.61 spl0_20|spl0_21),
% 1.28/0.61 inference(split_clause,[status(thm)],[f630,f624,f627])).
% 1.28/0.61 fof(f632,plain,(
% 1.28/0.61 ![X0]: (~ssList(X0)|~spl0_20)),
% 1.28/0.61 inference(duplicate_literals_removal,[status(esa)],[f625])).
% 1.28/0.61 fof(f633,plain,(
% 1.28/0.61 $false|~spl0_20),
% 1.28/0.61 inference(backward_subsumption_resolution,[status(thm)],[f420,f632])).
% 1.28/0.61 fof(f634,plain,(
% 1.28/0.61 ~spl0_20),
% 1.28/0.61 inference(contradiction_clause,[status(thm)],[f633])).
% 1.28/0.61 fof(f655,plain,(
% 1.28/0.61 spl0_22 <=> sk0_48=sk0_48),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f658,plain,(
% 1.28/0.61 spl0_23 <=> ~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~ssList(X0)|~ssItem(X2)|~cons(X2,nil)=X0|~hd(sk0_48)=X2),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f661,plain,(
% 1.28/0.61 ![X0,X1,X2]: (~ssList(sk0_48)|sk0_48=sk0_48|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~ssList(X0)|~ssItem(X2)|~cons(X2,nil)=X0|~hd(sk0_48)=X2|~spl0_10|~spl0_17)),
% 1.28/0.61 inference(resolution,[status(thm)],[f511,f610])).
% 1.28/0.61 fof(f662,plain,(
% 1.28/0.61 ~spl0_18|spl0_22|spl0_23|~spl0_10|~spl0_17),
% 1.28/0.61 inference(split_clause,[status(thm)],[f661,f582,f655,f658,f510,f577])).
% 1.28/0.61 fof(f674,plain,(
% 1.28/0.61 spl0_24 <=> ~ssList(cons(X0,sk0_3(X0,app(X1,sk0_47))))|rearsegP(sk0_48,cons(X0,sk0_3(X0,app(X1,sk0_47))))|~ssList(sk0_2(X0,app(X1,sk0_47)))|~ssList(cons(X0,sk0_3(X0,app(X1,sk0_47))))|~ssList(X1)|~ssItem(X2)|~cons(X2,nil)=X1|~hd(sk0_48)=X2|~ssList(app(X1,sk0_47))|~ssItem(X0)|~memberP(app(X1,sk0_47),X0)),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f677,plain,(
% 1.28/0.61 ![X0,X1,X2]: (~ssList(sk0_48)|~ssList(cons(X0,sk0_3(X0,app(X1,sk0_47))))|rearsegP(sk0_48,cons(X0,sk0_3(X0,app(X1,sk0_47))))|~ssList(sk0_2(X0,app(X1,sk0_47)))|~ssList(cons(X0,sk0_3(X0,app(X1,sk0_47))))|~ssList(X1)|~ssItem(X2)|~cons(X2,nil)=X1|~hd(sk0_48)=X2|~ssList(app(X1,sk0_47))|~ssItem(X0)|~memberP(app(X1,sk0_47),X0)|~spl0_10)),
% 1.28/0.61 inference(resolution,[status(thm)],[f130,f566])).
% 1.28/0.61 fof(f678,plain,(
% 1.28/0.61 ~spl0_18|spl0_24|~spl0_10),
% 1.28/0.61 inference(split_clause,[status(thm)],[f677,f582,f674,f510])).
% 1.28/0.61 fof(f679,plain,(
% 1.28/0.61 spl0_25 <=> ~ssList(app(X0,sk0_47))|rearsegP(sk0_48,app(X0,sk0_47))|~ssList(app(X0,sk0_47))|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f682,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(sk0_48)|~ssList(app(X0,sk0_47))|rearsegP(sk0_48,app(X0,sk0_47))|~ssList(nil)|~ssList(app(X0,sk0_47))|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~spl0_15)),
% 1.28/0.61 inference(resolution,[status(thm)],[f130,f608])).
% 1.28/0.61 fof(f683,plain,(
% 1.28/0.61 ~spl0_18|spl0_25|~spl0_3|~spl0_15),
% 1.28/0.61 inference(split_clause,[status(thm)],[f682,f582,f679,f462,f567])).
% 1.28/0.61 fof(f692,plain,(
% 1.28/0.61 spl0_28 <=> rearsegP(sk0_48,sk0_47)),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f693,plain,(
% 1.28/0.61 rearsegP(sk0_48,sk0_47)|~spl0_28),
% 1.28/0.61 inference(component_clause,[status(thm)],[f692])).
% 1.28/0.61 fof(f695,plain,(
% 1.28/0.61 spl0_29 <=> ~ssList(X0)|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1),
% 1.28/0.61 introduced(split_symbol_definition)).
% 1.28/0.61 fof(f696,plain,(
% 1.28/0.61 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~spl0_29)),
% 1.28/0.61 inference(component_clause,[status(thm)],[f695])).
% 1.28/0.62 fof(f698,plain,(
% 1.28/0.62 ![X0,X1]: (~ssList(sk0_48)|~ssList(sk0_47)|rearsegP(sk0_48,sk0_47)|~ssList(X0)|~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~spl0_17)),
% 1.28/0.62 inference(resolution,[status(thm)],[f130,f610])).
% 1.28/0.62 fof(f699,plain,(
% 1.28/0.62 ~spl0_18|~spl0_12|spl0_28|spl0_29|~spl0_17),
% 1.28/0.62 inference(split_clause,[status(thm)],[f698,f582,f520,f692,f695,f577])).
% 1.28/0.62 fof(f704,plain,(
% 1.28/0.62 $false|~spl0_0|~spl0_28),
% 1.28/0.62 inference(forward_subsumption_resolution,[status(thm)],[f693,f509])).
% 1.28/0.62 fof(f705,plain,(
% 1.28/0.62 ~spl0_0|~spl0_28),
% 1.28/0.62 inference(contradiction_clause,[status(thm)],[f704])).
% 1.28/0.62 fof(f706,plain,(
% 1.28/0.62 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~cons(X1,nil)=X0|~hd(sk0_48)=X1|~spl0_29)),
% 1.28/0.62 inference(duplicate_literals_removal,[status(esa)],[f696])).
% 1.28/0.62 fof(f710,plain,(
% 1.28/0.62 ![X0]: (~ssList(cons(X0,nil))|~ssItem(X0)|~hd(sk0_48)=X0|~spl0_29)),
% 1.28/0.62 inference(equality_resolution,[status(esa)],[f706])).
% 1.28/0.62 fof(f711,plain,(
% 1.28/0.62 spl0_30 <=> ~ssItem(X0)|~hd(sk0_48)=X0|~ssItem(X0)),
% 1.28/0.62 introduced(split_symbol_definition)).
% 1.28/0.62 fof(f712,plain,(
% 1.28/0.62 ![X0]: (~ssItem(X0)|~hd(sk0_48)=X0|~ssItem(X0)|~spl0_30)),
% 1.28/0.62 inference(component_clause,[status(thm)],[f711])).
% 1.28/0.62 fof(f714,plain,(
% 1.28/0.62 ![X0]: (~ssItem(X0)|~hd(sk0_48)=X0|~ssList(nil)|~ssItem(X0)|~spl0_29)),
% 1.28/0.62 inference(resolution,[status(thm)],[f710,f222])).
% 1.28/0.62 fof(f715,plain,(
% 1.28/0.62 spl0_30|~spl0_3|~spl0_29),
% 1.28/0.62 inference(split_clause,[status(thm)],[f714,f711,f462,f695])).
% 1.28/0.62 fof(f716,plain,(
% 1.28/0.62 ![X0]: (~ssItem(X0)|~hd(sk0_48)=X0|~spl0_30)),
% 1.28/0.62 inference(duplicate_literals_removal,[status(esa)],[f712])).
% 1.28/0.62 fof(f738,plain,(
% 1.28/0.62 ~ssItem(hd(sk0_48))|~spl0_30),
% 1.28/0.62 inference(equality_resolution,[status(esa)],[f716])).
% 1.28/0.62 fof(f739,plain,(
% 1.28/0.62 ~ssList(sk0_48)|nil=sk0_48|~spl0_30),
% 1.28/0.62 inference(resolution,[status(thm)],[f738,f237])).
% 1.28/0.62 fof(f740,plain,(
% 1.28/0.62 ~spl0_18|spl0_9|~spl0_30),
% 1.28/0.62 inference(split_clause,[status(thm)],[f739,f582,f503,f711])).
% 1.28/0.62 fof(f758,plain,(
% 1.28/0.62 ~ssList(nil)|~spl0_9|~spl0_1),
% 1.28/0.62 inference(resolution,[status(thm)],[f598,f448])).
% 1.28/0.62 fof(f759,plain,(
% 1.28/0.62 ~spl0_3|~spl0_9|~spl0_1),
% 1.28/0.62 inference(split_clause,[status(thm)],[f758,f462,f503,f435])).
% 1.28/0.62 fof(f761,plain,(
% 1.28/0.62 $false),
% 1.28/0.62 inference(sat_refutation,[status(thm)],[f438,f442,f469,f473,f478,f483,f517,f536,f571,f576,f581,f586,f590,f600,f603,f606,f619,f631,f634,f662,f678,f683,f699,f705,f715,f740,f759])).
% 1.28/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 1.28/0.64 % Elapsed time: 0.290081 seconds
% 1.28/0.64 % CPU time: 1.456734 seconds
% 1.28/0.64 % Memory used: 72.261 MB
%------------------------------------------------------------------------------