TSTP Solution File: SWC284+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC284+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:45:12 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC284+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.31 % Computer : n023.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8042.1875MB
% 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Tue Apr 30 00:20:25 EDT 2024
% 0.08/0.32 % CPUTime :
% 0.08/0.33 % Drodi V3.6.0
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f3,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ( memberP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(W,cons(V,X)) = U ) )) )) ) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f4,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> ( singletonP(U)<=> (? [V] :( ssItem(V)& cons(V,nil) = U ) )) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f6,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( rearsegP(U,V)<=> (? [W] :( ssList(W)& app(W,V) = U ) )) ) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f15,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f16,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f17,axiom,(
% 0.14/0.39 ssList(nil) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f18,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> cons(V,U) != U ) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f19,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssItem(X)=> ( cons(W,U) = cons(X,V)=> ( W = X& V = U ) ) ) )) )) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f26,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f28,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f31,axiom,(
% 0.14/0.39 (! [U] :( ssItem(U)=> leq(U,U) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f36,axiom,(
% 0.14/0.39 (! [U] :( ssItem(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( memberP(app(V,W),U)<=> ( memberP(V,U)| memberP(W,U) ) ) ) )) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f37,axiom,(
% 0.14/0.39 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> (! [W] :( ssList(W)=> ( memberP(cons(V,W),U)<=> ( U = V| memberP(W,U) ) ) ) )) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f38,axiom,(
% 0.14/0.39 (! [U] :( ssItem(U)=> ~ memberP(nil,U) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f79,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(W,V) = app(U,V)=> W = U ) ) )) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f80,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(V,W) = app(V,U)=> W = U ) ) )) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f82,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> app(app(U,V),W) = app(U,app(V,W)) ) )) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f83,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil = app(U,V)<=> ( nil = V& nil = U ) ) ) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f84,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f96,conjecture,(
% 0.14/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| (! [Y] :( ssItem(Y)=> (! [Z] :( ssList(Z)=> (! [X1] :( ~ ssList(X1)| app(app(Z,cons(Y,nil)),X1) != U| (! [X2] :( ssItem(X2)=> ( ( ~ memberP(Z,X2)| leq(X2,Y) )& ( ~ memberP(X1,X2)| leq(Y,X2) ) ) ) )) )) )))| ( nil != W& nil = X )| ( (! [X3] :( ~ ssItem(X3)| cons(X3,nil) != W| ~ memberP(X,X3) ))& neq(X,nil) ) ) )) )) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f97,negated_conjecture,(
% 0.14/0.39 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| (! [Y] :( ssItem(Y)=> (! [Z] :( ssList(Z)=> (! [X1] :( ~ ssList(X1)| app(app(Z,cons(Y,nil)),X1) != U| (! [X2] :( ssItem(X2)=> ( ( ~ memberP(Z,X2)| leq(X2,Y) )& ( ~ memberP(X1,X2)| leq(Y,X2) ) ) ) )) )) )))| ( nil != W& nil = X )| ( (! [X3] :( ~ ssItem(X3)| cons(X3,nil) != W| ~ memberP(X,X3) ))& neq(X,nil) ) ) )) )) )) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.40 fof(f106,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|(memberP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U))))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.14/0.40 fof(f107,plain,(
% 0.14/0.40 ![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)))))))))),
% 0.14/0.40 inference(NNF_transformation,[status(esa)],[f106])).
% 0.14/0.40 fof(f108,plain,(
% 0.14/0.40 ![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)))))))))),
% 0.14/0.40 inference(skolemization,[status(esa)],[f107])).
% 0.14/0.40 fof(f111,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~memberP(X0,X1)|app(sk0_2(X1,X0),cons(X1,sk0_3(X1,X0)))=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f108])).
% 0.14/0.40 fof(f112,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (~ssList(X0)|~ssItem(X1)|memberP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(X2,cons(X1,X3))=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f108])).
% 0.14/0.40 fof(f113,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(singletonP(U)<=>(?[V]: (ssItem(V)&cons(V,nil)=U))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.14/0.40 fof(f114,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|((~singletonP(U)|(?[V]: (ssItem(V)&cons(V,nil)=U)))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.14/0.40 inference(NNF_transformation,[status(esa)],[f113])).
% 0.14/0.40 fof(f115,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|((~singletonP(U)|(ssItem(sk0_4(U))&cons(sk0_4(U),nil)=U))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.14/0.40 inference(skolemization,[status(esa)],[f114])).
% 0.14/0.40 fof(f117,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|~singletonP(X0)|cons(sk0_4(X0),nil)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f115])).
% 0.14/0.40 fof(f118,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|singletonP(X0)|~ssItem(X1)|~cons(X1,nil)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f115])).
% 0.14/0.40 fof(f119,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.14/0.40 fof(f120,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(?[W]: (ssList(W)&app(V,W)=U)))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.14/0.40 inference(NNF_transformation,[status(esa)],[f119])).
% 0.14/0.40 fof(f121,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(ssList(sk0_5(V,U))&app(V,sk0_5(V,U))=U))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.14/0.40 inference(skolemization,[status(esa)],[f120])).
% 0.14/0.40 fof(f123,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sk0_5(X1,X0))=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f121])).
% 0.14/0.40 fof(f124,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|frontsegP(X0,X1)|~ssList(X2)|~app(X1,X2)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f121])).
% 0.14/0.40 fof(f125,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(rearsegP(U,V)<=>(?[W]: (ssList(W)&app(W,V)=U))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.14/0.40 fof(f126,plain,(
% 0.14/0.40 ![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)))))))),
% 0.14/0.40 inference(NNF_transformation,[status(esa)],[f125])).
% 0.14/0.40 fof(f127,plain,(
% 0.14/0.40 ![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)))))))),
% 0.14/0.40 inference(skolemization,[status(esa)],[f126])).
% 0.14/0.40 fof(f129,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|app(sk0_6(X1,X0),X1)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f127])).
% 0.14/0.40 fof(f217,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.14/0.40 fof(f218,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.14/0.40 inference(NNF_transformation,[status(esa)],[f217])).
% 0.14/0.40 fof(f220,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f218])).
% 0.14/0.40 fof(f221,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.14/0.40 fof(f222,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f221])).
% 0.14/0.40 fof(f223,plain,(
% 0.14/0.40 ssList(nil)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.40 fof(f224,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~cons(V,U)=U)))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.14/0.40 fof(f225,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~cons(X1,X0)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f224])).
% 0.14/0.40 fof(f226,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssItem(W)|(![X]: (~ssItem(X)|(~cons(W,U)=cons(X,V)|(W=X&V=U)))))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.14/0.40 fof(f227,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X2=X3)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f226])).
% 0.14/0.40 fof(f228,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X1=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f226])).
% 0.14/0.40 fof(f244,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.14/0.40 fof(f245,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f244])).
% 0.14/0.40 fof(f248,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.14/0.40 fof(f249,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f248])).
% 0.14/0.40 fof(f254,plain,(
% 0.14/0.40 ![U]: (~ssItem(U)|leq(U,U))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.14/0.40 fof(f255,plain,(
% 0.14/0.40 ![X0]: (~ssItem(X0)|leq(X0,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f254])).
% 0.14/0.40 fof(f268,plain,(
% 0.14/0.40 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(memberP(app(V,W),U)<=>(memberP(V,U)|memberP(W,U))))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.14/0.40 fof(f269,plain,(
% 0.14/0.40 ![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)))))))))),
% 0.14/0.40 inference(NNF_transformation,[status(esa)],[f268])).
% 0.14/0.40 fof(f270,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~memberP(app(X1,X2),X0)|memberP(X1,X0)|memberP(X2,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f269])).
% 0.14/0.40 fof(f271,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X1,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f269])).
% 0.14/0.40 fof(f272,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X2,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f269])).
% 0.14/0.40 fof(f273,plain,(
% 0.14/0.40 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|(memberP(cons(V,W),U)<=>(U=V|memberP(W,U))))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.14/0.40 fof(f274,plain,(
% 0.14/0.40 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|((~memberP(cons(V,W),U)|(U=V|memberP(W,U)))&(memberP(cons(V,W),U)|(~U=V&~memberP(W,U)))))))))),
% 0.14/0.40 inference(NNF_transformation,[status(esa)],[f273])).
% 0.14/0.40 fof(f275,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~memberP(cons(X1,X2),X0)|X0=X1|memberP(X2,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f274])).
% 0.14/0.40 fof(f278,plain,(
% 0.14/0.40 ![U]: (~ssItem(U)|~memberP(nil,U))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.14/0.40 fof(f279,plain,(
% 0.14/0.40 ![X0]: (~ssItem(X0)|~memberP(nil,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f278])).
% 0.14/0.40 fof(f375,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(W,V)=app(U,V)|W=U))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f79])).
% 0.14/0.40 fof(f376,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X2,X1)=app(X0,X1)|X2=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f375])).
% 0.14/0.40 fof(f377,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(V,W)=app(V,U)|W=U))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f80])).
% 0.14/0.40 fof(f378,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X1,X2)=app(X1,X0)|X2=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f377])).
% 0.14/0.40 fof(f381,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|app(app(U,V),W)=app(U,app(V,W)))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 0.14/0.40 fof(f382,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X0,X1),X2)=app(X0,app(X1,X2)))),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f381])).
% 0.14/0.40 fof(f383,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=app(U,V)<=>(nil=V&nil=U)))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 0.14/0.40 fof(f384,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~nil=app(U,V)|(nil=V&nil=U))&(nil=app(U,V)|(~nil=V|~nil=U))))))),
% 0.14/0.40 inference(NNF_transformation,[status(esa)],[f383])).
% 0.14/0.40 fof(f385,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X1)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f384])).
% 0.14/0.40 fof(f386,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f384])).
% 0.14/0.40 fof(f388,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.14/0.40 fof(f389,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f388])).
% 0.14/0.40 fof(f415,plain,(
% 0.14/0.40 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((((ssList(X)&V=X)&U=W)&(?[Y]: (ssItem(Y)&(?[Z]: (ssList(Z)&(?[X1]: ((ssList(X1)&app(app(Z,cons(Y,nil)),X1)=U)&(?[X2]: (ssItem(X2)&((memberP(Z,X2)&~leq(X2,Y))|(memberP(X1,X2)&~leq(Y,X2))))))))))))&(nil=W|~nil=X))&((?[X3]: ((ssItem(X3)&cons(X3,nil)=W)&memberP(X,X3)))|~neq(X,nil))))))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.14/0.40 fof(f416,plain,(
% 0.14/0.40 ![Y,Z,X2]: (pd0_0(X2,Z,Y)=>(memberP(Z,X2)&~leq(X2,Y)))),
% 0.14/0.40 introduced(predicate_definition,[f415])).
% 0.14/0.40 fof(f417,plain,(
% 0.14/0.40 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((((ssList(X)&V=X)&U=W)&(?[Y]: (ssItem(Y)&(?[Z]: (ssList(Z)&(?[X1]: ((ssList(X1)&app(app(Z,cons(Y,nil)),X1)=U)&(?[X2]: (ssItem(X2)&(pd0_0(X2,Z,Y)|(memberP(X1,X2)&~leq(Y,X2))))))))))))&(nil=W|~nil=X))&((?[X3]: ((ssItem(X3)&cons(X3,nil)=W)&memberP(X,X3)))|~neq(X,nil)))))))))),
% 0.14/0.40 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.14/0.40 fof(f418,plain,(
% 0.14/0.40 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(((((ssList(sk0_50)&sk0_48=sk0_50)&sk0_47=sk0_49)&(ssItem(sk0_51)&(ssList(sk0_52)&((ssList(sk0_53)&app(app(sk0_52,cons(sk0_51,nil)),sk0_53)=sk0_47)&(ssItem(sk0_54)&(pd0_0(sk0_54,sk0_52,sk0_51)|(memberP(sk0_53,sk0_54)&~leq(sk0_51,sk0_54))))))))&(nil=sk0_49|~nil=sk0_50))&(((ssItem(sk0_55)&cons(sk0_55,nil)=sk0_49)&memberP(sk0_50,sk0_55))|~neq(sk0_50,nil))))))),
% 0.14/0.40 inference(skolemization,[status(esa)],[f417])).
% 0.14/0.40 fof(f420,plain,(
% 0.14/0.40 ssList(sk0_48)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.40 fof(f423,plain,(
% 0.14/0.40 sk0_48=sk0_50),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.40 fof(f424,plain,(
% 0.14/0.40 sk0_47=sk0_49),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.40 fof(f425,plain,(
% 0.14/0.40 ssItem(sk0_51)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.40 fof(f426,plain,(
% 0.14/0.40 ssList(sk0_52)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.40 fof(f427,plain,(
% 0.14/0.40 ssList(sk0_53)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.40 fof(f428,plain,(
% 0.14/0.40 app(app(sk0_52,cons(sk0_51,nil)),sk0_53)=sk0_47),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.40 fof(f429,plain,(
% 0.14/0.40 ssItem(sk0_54)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.40 fof(f430,plain,(
% 0.14/0.40 pd0_0(sk0_54,sk0_52,sk0_51)|memberP(sk0_53,sk0_54)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.40 fof(f431,plain,(
% 0.14/0.40 pd0_0(sk0_54,sk0_52,sk0_51)|~leq(sk0_51,sk0_54)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.40 fof(f432,plain,(
% 0.14/0.40 nil=sk0_49|~nil=sk0_50),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.40 fof(f433,plain,(
% 0.14/0.40 ssItem(sk0_55)|~neq(sk0_50,nil)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.40 fof(f434,plain,(
% 0.14/0.40 cons(sk0_55,nil)=sk0_49|~neq(sk0_50,nil)),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.40 fof(f436,plain,(
% 0.14/0.40 ![Y,Z,X2]: (~pd0_0(X2,Z,Y)|(memberP(Z,X2)&~leq(X2,Y)))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.14/0.40 fof(f437,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|memberP(X1,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f436])).
% 0.14/0.40 fof(f438,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|~leq(X0,X2))),
% 0.14/0.40 inference(cnf_transformation,[status(esa)],[f436])).
% 0.14/0.40 fof(f439,plain,(
% 0.14/0.40 spl0_0 <=> pd0_0(sk0_54,sk0_52,sk0_51)),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f440,plain,(
% 0.14/0.40 pd0_0(sk0_54,sk0_52,sk0_51)|~spl0_0),
% 0.14/0.40 inference(component_clause,[status(thm)],[f439])).
% 0.14/0.40 fof(f442,plain,(
% 0.14/0.40 spl0_1 <=> memberP(sk0_53,sk0_54)),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f443,plain,(
% 0.14/0.40 memberP(sk0_53,sk0_54)|~spl0_1),
% 0.14/0.40 inference(component_clause,[status(thm)],[f442])).
% 0.14/0.40 fof(f445,plain,(
% 0.14/0.40 spl0_0|spl0_1),
% 0.14/0.40 inference(split_clause,[status(thm)],[f430,f439,f442])).
% 0.14/0.40 fof(f446,plain,(
% 0.14/0.40 spl0_2 <=> leq(sk0_51,sk0_54)),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f448,plain,(
% 0.14/0.40 ~leq(sk0_51,sk0_54)|spl0_2),
% 0.14/0.40 inference(component_clause,[status(thm)],[f446])).
% 0.14/0.40 fof(f449,plain,(
% 0.14/0.40 spl0_0|~spl0_2),
% 0.14/0.40 inference(split_clause,[status(thm)],[f431,f439,f446])).
% 0.14/0.40 fof(f450,plain,(
% 0.14/0.40 spl0_3 <=> nil=sk0_49),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f451,plain,(
% 0.14/0.40 nil=sk0_49|~spl0_3),
% 0.14/0.40 inference(component_clause,[status(thm)],[f450])).
% 0.14/0.40 fof(f453,plain,(
% 0.14/0.40 spl0_4 <=> nil=sk0_50),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f455,plain,(
% 0.14/0.40 ~nil=sk0_50|spl0_4),
% 0.14/0.40 inference(component_clause,[status(thm)],[f453])).
% 0.14/0.40 fof(f456,plain,(
% 0.14/0.40 spl0_3|~spl0_4),
% 0.14/0.40 inference(split_clause,[status(thm)],[f432,f450,f453])).
% 0.14/0.40 fof(f457,plain,(
% 0.14/0.40 spl0_5 <=> ssItem(sk0_55)),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f460,plain,(
% 0.14/0.40 spl0_6 <=> neq(sk0_50,nil)),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f462,plain,(
% 0.14/0.40 ~neq(sk0_50,nil)|spl0_6),
% 0.14/0.40 inference(component_clause,[status(thm)],[f460])).
% 0.14/0.40 fof(f463,plain,(
% 0.14/0.40 spl0_5|~spl0_6),
% 0.14/0.40 inference(split_clause,[status(thm)],[f433,f457,f460])).
% 0.14/0.40 fof(f464,plain,(
% 0.14/0.40 spl0_7 <=> cons(sk0_55,nil)=sk0_49),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f465,plain,(
% 0.14/0.40 cons(sk0_55,nil)=sk0_49|~spl0_7),
% 0.14/0.40 inference(component_clause,[status(thm)],[f464])).
% 0.14/0.40 fof(f467,plain,(
% 0.14/0.40 spl0_7|~spl0_6),
% 0.14/0.40 inference(split_clause,[status(thm)],[f434,f464,f460])).
% 0.14/0.40 fof(f474,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~ssList(app(X0,cons(X1,X2)))|~ssItem(X1)|memberP(app(X0,cons(X1,X2)),X1)|~ssList(X0)|~ssList(X2))),
% 0.14/0.40 inference(destructive_equality_resolution,[status(esa)],[f112])).
% 0.14/0.40 fof(f475,plain,(
% 0.14/0.40 ![X0]: (~ssList(cons(X0,nil))|singletonP(cons(X0,nil))|~ssItem(X0))),
% 0.14/0.40 inference(destructive_equality_resolution,[status(esa)],[f118])).
% 0.14/0.40 fof(f476,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 0.14/0.40 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 0.14/0.40 fof(f504,plain,(
% 0.14/0.40 ~nil=sk0_48|spl0_4),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f423,f455])).
% 0.14/0.40 fof(f505,plain,(
% 0.14/0.40 ~neq(sk0_48,nil)|spl0_6),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f423,f462])).
% 0.14/0.40 fof(f506,plain,(
% 0.14/0.40 memberP(sk0_52,sk0_54)|~spl0_0),
% 0.14/0.40 inference(resolution,[status(thm)],[f437,f440])).
% 0.14/0.40 fof(f507,plain,(
% 0.14/0.40 ~leq(sk0_54,sk0_51)|~spl0_0),
% 0.14/0.40 inference(resolution,[status(thm)],[f438,f440])).
% 0.14/0.40 fof(f514,plain,(
% 0.14/0.40 spl0_11 <=> sk0_48=nil),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f515,plain,(
% 0.14/0.40 sk0_48=nil|~spl0_11),
% 0.14/0.40 inference(component_clause,[status(thm)],[f514])).
% 0.14/0.40 fof(f519,plain,(
% 0.14/0.40 spl0_12 <=> ssList(sk0_48)),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f521,plain,(
% 0.14/0.40 ~ssList(sk0_48)|spl0_12),
% 0.14/0.40 inference(component_clause,[status(thm)],[f519])).
% 0.14/0.40 fof(f522,plain,(
% 0.14/0.40 spl0_13 <=> ssList(nil)),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f524,plain,(
% 0.14/0.40 ~ssList(nil)|spl0_13),
% 0.14/0.40 inference(component_clause,[status(thm)],[f522])).
% 0.14/0.41 fof(f525,plain,(
% 0.14/0.41 ~ssList(sk0_48)|~ssList(nil)|sk0_48=nil|spl0_6),
% 0.14/0.41 inference(resolution,[status(thm)],[f220,f505])).
% 0.14/0.41 fof(f526,plain,(
% 0.14/0.41 ~spl0_12|~spl0_13|spl0_11|spl0_6),
% 0.14/0.41 inference(split_clause,[status(thm)],[f525,f519,f522,f514,f460])).
% 0.14/0.41 fof(f527,plain,(
% 0.14/0.41 $false|spl0_13),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f524,f223])).
% 0.14/0.41 fof(f528,plain,(
% 0.14/0.41 spl0_13),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f527])).
% 0.14/0.41 fof(f529,plain,(
% 0.14/0.41 $false|spl0_12),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f521,f420])).
% 0.14/0.41 fof(f530,plain,(
% 0.14/0.41 spl0_12),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f529])).
% 0.14/0.41 fof(f531,plain,(
% 0.14/0.41 cons(sk0_55,nil)=sk0_47|~spl0_7),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f424,f465])).
% 0.14/0.41 fof(f534,plain,(
% 0.14/0.41 spl0_14 <=> ssList(sk0_47)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f550,plain,(
% 0.14/0.41 spl0_17 <=> ssList(app(sk0_52,cons(sk0_51,nil)))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f551,plain,(
% 0.14/0.41 ssList(app(sk0_52,cons(sk0_51,nil)))|~spl0_17),
% 0.14/0.41 inference(component_clause,[status(thm)],[f550])).
% 0.14/0.41 fof(f552,plain,(
% 0.14/0.41 ~ssList(app(sk0_52,cons(sk0_51,nil)))|spl0_17),
% 0.14/0.41 inference(component_clause,[status(thm)],[f550])).
% 0.14/0.41 fof(f553,plain,(
% 0.14/0.41 spl0_18 <=> ssList(sk0_53)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f555,plain,(
% 0.14/0.41 ~ssList(sk0_53)|spl0_18),
% 0.14/0.41 inference(component_clause,[status(thm)],[f553])).
% 0.14/0.41 fof(f556,plain,(
% 0.14/0.41 ~ssList(app(sk0_52,cons(sk0_51,nil)))|~ssList(sk0_53)|ssList(sk0_47)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f428,f245])).
% 0.14/0.41 fof(f557,plain,(
% 0.14/0.41 ~spl0_17|~spl0_18|spl0_14),
% 0.14/0.41 inference(split_clause,[status(thm)],[f556,f550,f553,f534])).
% 0.14/0.41 fof(f558,plain,(
% 0.14/0.41 spl0_19 <=> ~ssList(X0)|~sk0_47=app(X0,sk0_53)|app(sk0_52,cons(sk0_51,nil))=X0),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f559,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~sk0_47=app(X0,sk0_53)|app(sk0_52,cons(sk0_51,nil))=X0|~spl0_19)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f558])).
% 0.14/0.41 fof(f561,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~ssList(sk0_53)|~ssList(app(sk0_52,cons(sk0_51,nil)))|~sk0_47=app(X0,sk0_53)|app(sk0_52,cons(sk0_51,nil))=X0)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f428,f376])).
% 0.14/0.41 fof(f562,plain,(
% 0.14/0.41 spl0_19|~spl0_18|~spl0_17),
% 0.14/0.41 inference(split_clause,[status(thm)],[f561,f558,f553,f550])).
% 0.14/0.41 fof(f573,plain,(
% 0.14/0.41 spl0_22 <=> ssList(sk0_52)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f575,plain,(
% 0.14/0.41 ~ssList(sk0_52)|spl0_22),
% 0.14/0.41 inference(component_clause,[status(thm)],[f573])).
% 0.14/0.41 fof(f576,plain,(
% 0.14/0.41 spl0_23 <=> ssList(cons(sk0_51,nil))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f577,plain,(
% 0.14/0.41 ssList(cons(sk0_51,nil))|~spl0_23),
% 0.14/0.41 inference(component_clause,[status(thm)],[f576])).
% 0.14/0.41 fof(f578,plain,(
% 0.14/0.41 ~ssList(cons(sk0_51,nil))|spl0_23),
% 0.14/0.41 inference(component_clause,[status(thm)],[f576])).
% 0.14/0.41 fof(f579,plain,(
% 0.14/0.41 ~ssList(sk0_52)|~ssList(cons(sk0_51,nil))|spl0_17),
% 0.14/0.41 inference(resolution,[status(thm)],[f552,f245])).
% 0.14/0.41 fof(f580,plain,(
% 0.14/0.41 ~spl0_22|~spl0_23|spl0_17),
% 0.14/0.41 inference(split_clause,[status(thm)],[f579,f573,f576,f550])).
% 0.14/0.41 fof(f581,plain,(
% 0.14/0.41 $false|spl0_22),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f575,f426])).
% 0.14/0.41 fof(f582,plain,(
% 0.14/0.41 spl0_22),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f581])).
% 0.14/0.41 fof(f583,plain,(
% 0.14/0.41 $false|spl0_18),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f555,f427])).
% 0.14/0.41 fof(f584,plain,(
% 0.14/0.41 spl0_18),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f583])).
% 0.14/0.41 fof(f585,plain,(
% 0.14/0.41 spl0_24 <=> ssItem(sk0_51)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f587,plain,(
% 0.14/0.41 ~ssItem(sk0_51)|spl0_24),
% 0.14/0.41 inference(component_clause,[status(thm)],[f585])).
% 0.14/0.41 fof(f588,plain,(
% 0.14/0.41 ~ssList(nil)|~ssItem(sk0_51)|spl0_23),
% 0.14/0.41 inference(resolution,[status(thm)],[f578,f222])).
% 0.14/0.41 fof(f589,plain,(
% 0.14/0.41 ~spl0_13|~spl0_24|spl0_23),
% 0.14/0.41 inference(split_clause,[status(thm)],[f588,f522,f585,f576])).
% 0.14/0.41 fof(f590,plain,(
% 0.14/0.41 $false|spl0_24),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f587,f425])).
% 0.14/0.41 fof(f591,plain,(
% 0.14/0.41 spl0_24),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f590])).
% 0.14/0.41 fof(f592,plain,(
% 0.14/0.41 spl0_25 <=> ~ssList(app(X0,cons(sk0_51,nil)))|~sk0_47=app(app(X0,cons(sk0_51,nil)),sk0_53)|~ssList(X0)|sk0_52=X0),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f593,plain,(
% 0.14/0.41 ![X0]: (~ssList(app(X0,cons(sk0_51,nil)))|~sk0_47=app(app(X0,cons(sk0_51,nil)),sk0_53)|~ssList(X0)|sk0_52=X0|~spl0_25)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f592])).
% 0.14/0.41 fof(f595,plain,(
% 0.14/0.41 ![X0]: (~ssList(app(X0,cons(sk0_51,nil)))|~sk0_47=app(app(X0,cons(sk0_51,nil)),sk0_53)|~ssList(X0)|~ssList(cons(sk0_51,nil))|~ssList(sk0_52)|sk0_52=X0|~spl0_19)),
% 0.14/0.41 inference(resolution,[status(thm)],[f559,f376])).
% 0.14/0.41 fof(f596,plain,(
% 0.14/0.41 spl0_25|~spl0_23|~spl0_22|~spl0_19),
% 0.14/0.41 inference(split_clause,[status(thm)],[f595,f592,f576,f573,f558])).
% 0.14/0.41 fof(f599,plain,(
% 0.14/0.41 spl0_26 <=> ~ssList(cons(X0,app(sk0_52,cons(sk0_51,nil))))|~sk0_47=app(cons(X0,app(sk0_52,cons(sk0_51,nil))),sk0_53)|~ssItem(X0)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f602,plain,(
% 0.14/0.41 ![X0]: (~ssList(cons(X0,app(sk0_52,cons(sk0_51,nil))))|~sk0_47=app(cons(X0,app(sk0_52,cons(sk0_51,nil))),sk0_53)|~ssList(app(sk0_52,cons(sk0_51,nil)))|~ssItem(X0)|~spl0_19)),
% 0.14/0.41 inference(resolution,[status(thm)],[f559,f225])).
% 0.14/0.41 fof(f603,plain,(
% 0.14/0.41 spl0_26|~spl0_17|~spl0_19),
% 0.14/0.41 inference(split_clause,[status(thm)],[f602,f599,f550,f558])).
% 0.14/0.41 fof(f604,plain,(
% 0.14/0.41 spl0_27 <=> sk0_52=sk0_52),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f607,plain,(
% 0.14/0.41 ~ssList(app(sk0_52,cons(sk0_51,nil)))|~ssList(sk0_52)|sk0_52=sk0_52|~spl0_25),
% 0.14/0.41 inference(resolution,[status(thm)],[f593,f428])).
% 0.14/0.41 fof(f608,plain,(
% 0.14/0.41 ~spl0_17|~spl0_22|spl0_27|~spl0_25),
% 0.14/0.41 inference(split_clause,[status(thm)],[f607,f550,f573,f604,f592])).
% 0.14/0.41 fof(f614,plain,(
% 0.14/0.41 spl0_29 <=> ~ssList(X0)|cons(sk0_51,nil)=X0|~ssList(app(sk0_52,X0))|~sk0_47=app(app(sk0_52,X0),sk0_53)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f615,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|cons(sk0_51,nil)=X0|~ssList(app(sk0_52,X0))|~sk0_47=app(app(sk0_52,X0),sk0_53)|~spl0_29)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f614])).
% 0.14/0.41 fof(f617,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~ssList(sk0_52)|~ssList(cons(sk0_51,nil))|cons(sk0_51,nil)=X0|~ssList(app(sk0_52,X0))|~sk0_47=app(app(sk0_52,X0),sk0_53)|~spl0_19)),
% 0.14/0.41 inference(resolution,[status(thm)],[f378,f559])).
% 0.14/0.41 fof(f618,plain,(
% 0.14/0.41 spl0_29|~spl0_22|~spl0_23|~spl0_19),
% 0.14/0.41 inference(split_clause,[status(thm)],[f617,f614,f573,f576,f558])).
% 0.14/0.41 fof(f619,plain,(
% 0.14/0.41 spl0_30 <=> ~ssList(X0)|~ssList(app(nil,X0))|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f622,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(nil,X0))|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.14/0.41 inference(resolution,[status(thm)],[f378,f249])).
% 0.14/0.41 fof(f623,plain,(
% 0.14/0.41 spl0_30|~spl0_13),
% 0.14/0.41 inference(split_clause,[status(thm)],[f622,f619,f522])).
% 0.14/0.41 fof(f628,plain,(
% 0.14/0.41 spl0_31 <=> ~ssList(X0)|~sk0_47=app(app(sk0_52,cons(sk0_51,nil)),X0)|sk0_53=X0),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f629,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~sk0_47=app(app(sk0_52,cons(sk0_51,nil)),X0)|sk0_53=X0|~spl0_31)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f628])).
% 0.14/0.41 fof(f631,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~ssList(app(sk0_52,cons(sk0_51,nil)))|~ssList(sk0_53)|~sk0_47=app(app(sk0_52,cons(sk0_51,nil)),X0)|sk0_53=X0)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f428,f378])).
% 0.14/0.41 fof(f632,plain,(
% 0.14/0.41 spl0_31|~spl0_17|~spl0_18),
% 0.14/0.41 inference(split_clause,[status(thm)],[f631,f628,f550,f553])).
% 0.14/0.41 fof(f638,plain,(
% 0.14/0.41 spl0_32 <=> sk0_53=sk0_53),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f641,plain,(
% 0.14/0.41 ~ssList(sk0_53)|sk0_53=sk0_53|~spl0_31),
% 0.14/0.41 inference(resolution,[status(thm)],[f629,f428])).
% 0.14/0.41 fof(f642,plain,(
% 0.14/0.41 ~spl0_18|spl0_32|~spl0_31),
% 0.14/0.41 inference(split_clause,[status(thm)],[f641,f553,f638,f628])).
% 0.14/0.41 fof(f645,plain,(
% 0.14/0.41 spl0_33 <=> cons(sk0_51,nil)=cons(sk0_51,nil)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f648,plain,(
% 0.14/0.41 ~ssList(cons(sk0_51,nil))|cons(sk0_51,nil)=cons(sk0_51,nil)|~ssList(app(sk0_52,cons(sk0_51,nil)))|~spl0_29),
% 0.14/0.41 inference(resolution,[status(thm)],[f615,f428])).
% 0.14/0.41 fof(f649,plain,(
% 0.14/0.41 ~spl0_23|spl0_33|~spl0_17|~spl0_29),
% 0.14/0.41 inference(split_clause,[status(thm)],[f648,f576,f645,f550,f614])).
% 0.14/0.41 fof(f664,plain,(
% 0.14/0.41 spl0_36 <=> ~ssList(X0)|~ssList(X0)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f665,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_36)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f664])).
% 0.14/0.41 fof(f667,plain,(
% 0.14/0.41 spl0_37 <=> ~ssItem(X1)|~ssItem(X1)|X1=X1),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f670,plain,(
% 0.14/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X1=X1)),
% 0.14/0.41 inference(equality_resolution,[status(esa)],[f227])).
% 0.14/0.41 fof(f671,plain,(
% 0.14/0.41 spl0_36|spl0_37),
% 0.14/0.41 inference(split_clause,[status(thm)],[f670,f664,f667])).
% 0.14/0.41 fof(f672,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|~spl0_36)),
% 0.14/0.41 inference(duplicate_literals_removal,[status(esa)],[f665])).
% 0.14/0.41 fof(f692,plain,(
% 0.14/0.41 spl0_41 <=> nil=nil),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f699,plain,(
% 0.14/0.41 $false|~spl0_36|~spl0_17),
% 0.14/0.41 inference(backward_subsumption_resolution,[status(thm)],[f551,f672])).
% 0.14/0.41 fof(f700,plain,(
% 0.14/0.41 ~spl0_36|~spl0_17),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f699])).
% 0.14/0.41 fof(f721,plain,(
% 0.14/0.41 spl0_42 <=> sk0_47=app(sk0_52,app(cons(sk0_51,nil),sk0_53))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f722,plain,(
% 0.14/0.41 sk0_47=app(sk0_52,app(cons(sk0_51,nil),sk0_53))|~spl0_42),
% 0.14/0.41 inference(component_clause,[status(thm)],[f721])).
% 0.14/0.41 fof(f724,plain,(
% 0.14/0.41 ~ssList(sk0_52)|~ssList(cons(sk0_51,nil))|~ssList(sk0_53)|sk0_47=app(sk0_52,app(cons(sk0_51,nil),sk0_53))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f428,f382])).
% 0.14/0.41 fof(f725,plain,(
% 0.14/0.41 ~spl0_22|~spl0_23|~spl0_18|spl0_42),
% 0.14/0.41 inference(split_clause,[status(thm)],[f724,f573,f576,f553,f721])).
% 0.14/0.41 fof(f726,plain,(
% 0.14/0.41 spl0_43 <=> ~ssList(X0)|app(sk0_47,X0)=app(app(sk0_52,cons(sk0_51,nil)),app(sk0_53,X0))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f729,plain,(
% 0.14/0.41 ![X0]: (~ssList(app(sk0_52,cons(sk0_51,nil)))|~ssList(sk0_53)|~ssList(X0)|app(sk0_47,X0)=app(app(sk0_52,cons(sk0_51,nil)),app(sk0_53,X0)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f428,f382])).
% 0.14/0.41 fof(f730,plain,(
% 0.14/0.41 ~spl0_17|~spl0_18|spl0_43),
% 0.14/0.41 inference(split_clause,[status(thm)],[f729,f550,f553,f726])).
% 0.14/0.41 fof(f733,plain,(
% 0.14/0.41 spl0_44 <=> ~ssList(app(X0,nil))|~ssList(X0)|~ssList(app(X0,nil))|app(X0,nil)=X0),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f736,plain,(
% 0.14/0.41 ![X0]: (~ssList(app(X0,nil))|~ssList(X0)|~ssList(nil)|~ssList(app(X0,nil))|app(X0,nil)=X0)),
% 0.14/0.41 inference(resolution,[status(thm)],[f389,f376])).
% 0.14/0.41 fof(f737,plain,(
% 0.14/0.41 spl0_44|~spl0_13),
% 0.14/0.41 inference(split_clause,[status(thm)],[f736,f733,f522])).
% 0.14/0.41 fof(f750,plain,(
% 0.14/0.41 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.14/0.41 inference(resolution,[status(thm)],[f385,f249])).
% 0.14/0.41 fof(f751,plain,(
% 0.14/0.41 ~spl0_13|spl0_41),
% 0.14/0.41 inference(split_clause,[status(thm)],[f750,f522,f692])).
% 0.14/0.41 fof(f776,plain,(
% 0.14/0.41 spl0_48 <=> ssList(app(cons(sk0_51,nil),sk0_53))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f778,plain,(
% 0.14/0.41 ~ssList(app(cons(sk0_51,nil),sk0_53))|spl0_48),
% 0.14/0.41 inference(component_clause,[status(thm)],[f776])).
% 0.14/0.41 fof(f789,plain,(
% 0.14/0.41 spl0_51 <=> ~ssList(X0)|app(sk0_47,X0)=app(sk0_52,app(app(cons(sk0_51,nil),sk0_53),X0))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f792,plain,(
% 0.14/0.41 ![X0]: (~ssList(sk0_52)|~ssList(app(cons(sk0_51,nil),sk0_53))|~ssList(X0)|app(sk0_47,X0)=app(sk0_52,app(app(cons(sk0_51,nil),sk0_53),X0))|~spl0_42)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f722,f382])).
% 0.14/0.41 fof(f793,plain,(
% 0.14/0.41 ~spl0_22|~spl0_48|spl0_51|~spl0_42),
% 0.14/0.41 inference(split_clause,[status(thm)],[f792,f573,f776,f789,f721])).
% 0.14/0.41 fof(f794,plain,(
% 0.14/0.41 spl0_52 <=> ~ssList(X0)|~app(X0,app(cons(sk0_51,nil),sk0_53))=sk0_47|X0=sk0_52),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f797,plain,(
% 0.14/0.41 ![X0]: (~ssList(sk0_52)|~ssList(app(cons(sk0_51,nil),sk0_53))|~ssList(X0)|~app(X0,app(cons(sk0_51,nil),sk0_53))=sk0_47|X0=sk0_52|~spl0_42)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f722,f376])).
% 0.14/0.41 fof(f798,plain,(
% 0.14/0.41 ~spl0_22|~spl0_48|spl0_52|~spl0_42),
% 0.14/0.41 inference(split_clause,[status(thm)],[f797,f573,f776,f794,f721])).
% 0.14/0.41 fof(f801,plain,(
% 0.14/0.41 spl0_53 <=> ~ssList(X0)|~app(sk0_52,X0)=sk0_47|X0=app(cons(sk0_51,nil),sk0_53)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f804,plain,(
% 0.14/0.41 ![X0]: (~ssList(app(cons(sk0_51,nil),sk0_53))|~ssList(sk0_52)|~ssList(X0)|~app(sk0_52,X0)=sk0_47|X0=app(cons(sk0_51,nil),sk0_53)|~spl0_42)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f722,f378])).
% 0.14/0.41 fof(f805,plain,(
% 0.14/0.41 ~spl0_48|~spl0_22|spl0_53|~spl0_42),
% 0.14/0.41 inference(split_clause,[status(thm)],[f804,f776,f573,f801,f721])).
% 0.14/0.41 fof(f810,plain,(
% 0.14/0.41 ~ssList(cons(sk0_51,nil))|~ssList(sk0_53)|spl0_48),
% 0.14/0.41 inference(resolution,[status(thm)],[f778,f245])).
% 0.14/0.41 fof(f811,plain,(
% 0.14/0.41 ~spl0_23|~spl0_18|spl0_48),
% 0.14/0.41 inference(split_clause,[status(thm)],[f810,f576,f553,f776])).
% 0.14/0.41 fof(f817,plain,(
% 0.14/0.41 spl0_55 <=> ~ssItem(X0)|memberP(sk0_47,X0)|~memberP(sk0_52,X0)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f818,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~memberP(sk0_52,X0)|~spl0_55)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f817])).
% 0.14/0.41 fof(f820,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|~ssList(sk0_52)|~ssList(app(cons(sk0_51,nil),sk0_53))|memberP(sk0_47,X0)|~memberP(sk0_52,X0)|~spl0_42)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f722,f271])).
% 0.14/0.41 fof(f821,plain,(
% 0.14/0.41 spl0_55|~spl0_22|~spl0_48|~spl0_42),
% 0.14/0.41 inference(split_clause,[status(thm)],[f820,f817,f573,f776,f721])).
% 0.14/0.41 fof(f822,plain,(
% 0.14/0.41 spl0_56 <=> ~ssItem(X0)|memberP(sk0_47,X0)|~memberP(app(sk0_52,cons(sk0_51,nil)),X0)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f823,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~memberP(app(sk0_52,cons(sk0_51,nil)),X0)|~spl0_56)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f822])).
% 0.14/0.41 fof(f825,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|~ssList(app(sk0_52,cons(sk0_51,nil)))|~ssList(sk0_53)|memberP(sk0_47,X0)|~memberP(app(sk0_52,cons(sk0_51,nil)),X0))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f428,f271])).
% 0.14/0.41 fof(f826,plain,(
% 0.14/0.41 spl0_56|~spl0_17|~spl0_18),
% 0.14/0.41 inference(split_clause,[status(thm)],[f825,f822,f550,f553])).
% 0.14/0.41 fof(f827,plain,(
% 0.14/0.41 spl0_57 <=> ssItem(sk0_54)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f829,plain,(
% 0.14/0.41 ~ssItem(sk0_54)|spl0_57),
% 0.14/0.41 inference(component_clause,[status(thm)],[f827])).
% 0.14/0.41 fof(f830,plain,(
% 0.14/0.41 spl0_58 <=> memberP(sk0_47,sk0_54)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f831,plain,(
% 0.14/0.41 memberP(sk0_47,sk0_54)|~spl0_58),
% 0.14/0.41 inference(component_clause,[status(thm)],[f830])).
% 0.14/0.41 fof(f833,plain,(
% 0.14/0.41 ~ssItem(sk0_54)|memberP(sk0_47,sk0_54)|~spl0_55|~spl0_0),
% 0.14/0.41 inference(resolution,[status(thm)],[f818,f506])).
% 0.14/0.41 fof(f834,plain,(
% 0.14/0.41 ~spl0_57|spl0_58|~spl0_55|~spl0_0),
% 0.14/0.41 inference(split_clause,[status(thm)],[f833,f827,f830,f817,f439])).
% 0.14/0.41 fof(f835,plain,(
% 0.14/0.41 $false|spl0_57),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f829,f429])).
% 0.14/0.41 fof(f836,plain,(
% 0.14/0.41 spl0_57),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f835])).
% 0.14/0.41 fof(f837,plain,(
% 0.14/0.41 spl0_59 <=> ~ssItem(X0)|memberP(sk0_47,X0)|~memberP(app(cons(sk0_51,nil),sk0_53),X0)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f840,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|~ssList(sk0_52)|~ssList(app(cons(sk0_51,nil),sk0_53))|memberP(sk0_47,X0)|~memberP(app(cons(sk0_51,nil),sk0_53),X0)|~spl0_42)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f722,f272])).
% 0.14/0.41 fof(f841,plain,(
% 0.14/0.41 spl0_59|~spl0_22|~spl0_48|~spl0_42),
% 0.14/0.41 inference(split_clause,[status(thm)],[f840,f837,f573,f776,f721])).
% 0.14/0.41 fof(f842,plain,(
% 0.14/0.41 spl0_60 <=> ~ssItem(X0)|memberP(sk0_47,X0)|~memberP(sk0_53,X0)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f843,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~memberP(sk0_53,X0)|~spl0_60)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f842])).
% 0.14/0.41 fof(f845,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|~ssList(app(sk0_52,cons(sk0_51,nil)))|~ssList(sk0_53)|memberP(sk0_47,X0)|~memberP(sk0_53,X0))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f428,f272])).
% 0.14/0.41 fof(f846,plain,(
% 0.14/0.41 spl0_60|~spl0_17|~spl0_18),
% 0.14/0.41 inference(split_clause,[status(thm)],[f845,f842,f550,f553])).
% 0.14/0.41 fof(f857,plain,(
% 0.14/0.41 spl0_63 <=> ~ssItem(X0)|~memberP(sk0_47,X0)|memberP(sk0_52,X0)|memberP(app(cons(sk0_51,nil),sk0_53),X0)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f860,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|~ssList(sk0_52)|~ssList(app(cons(sk0_51,nil),sk0_53))|~memberP(sk0_47,X0)|memberP(sk0_52,X0)|memberP(app(cons(sk0_51,nil),sk0_53),X0)|~spl0_42)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f722,f270])).
% 0.14/0.41 fof(f861,plain,(
% 0.14/0.41 spl0_63|~spl0_22|~spl0_48|~spl0_42),
% 0.14/0.41 inference(split_clause,[status(thm)],[f860,f857,f573,f776,f721])).
% 0.14/0.41 fof(f862,plain,(
% 0.14/0.41 spl0_64 <=> ~ssItem(X0)|~memberP(sk0_47,X0)|memberP(app(sk0_52,cons(sk0_51,nil)),X0)|memberP(sk0_53,X0)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f863,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|memberP(app(sk0_52,cons(sk0_51,nil)),X0)|memberP(sk0_53,X0)|~spl0_64)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f862])).
% 0.14/0.41 fof(f865,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|~ssList(app(sk0_52,cons(sk0_51,nil)))|~ssList(sk0_53)|~memberP(sk0_47,X0)|memberP(app(sk0_52,cons(sk0_51,nil)),X0)|memberP(sk0_53,X0))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f428,f270])).
% 0.14/0.41 fof(f866,plain,(
% 0.14/0.41 spl0_64|~spl0_17|~spl0_18),
% 0.14/0.41 inference(split_clause,[status(thm)],[f865,f862,f550,f553])).
% 0.14/0.41 fof(f867,plain,(
% 0.14/0.41 spl0_65 <=> ~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_55|memberP(nil,X0)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f868,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_55|memberP(nil,X0)|~spl0_65)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f867])).
% 0.14/0.41 fof(f870,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|~ssItem(sk0_55)|~ssList(nil)|~memberP(sk0_47,X0)|X0=sk0_55|memberP(nil,X0)|~spl0_7)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f531,f275])).
% 0.14/0.41 fof(f871,plain,(
% 0.14/0.41 spl0_65|~spl0_5|~spl0_13|~spl0_7),
% 0.14/0.41 inference(split_clause,[status(thm)],[f870,f867,f457,f522,f464])).
% 0.14/0.41 fof(f872,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_55|~spl0_65)),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f868,f279])).
% 0.14/0.41 fof(f913,plain,(
% 0.14/0.41 spl0_68 <=> sk0_54=sk0_55),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f914,plain,(
% 0.14/0.41 sk0_54=sk0_55|~spl0_68),
% 0.14/0.41 inference(component_clause,[status(thm)],[f913])).
% 0.14/0.41 fof(f916,plain,(
% 0.14/0.41 ~ssItem(sk0_54)|sk0_54=sk0_55|~spl0_65|~spl0_58),
% 0.14/0.41 inference(resolution,[status(thm)],[f872,f831])).
% 0.14/0.41 fof(f917,plain,(
% 0.14/0.41 ~spl0_57|spl0_68|~spl0_65|~spl0_58),
% 0.14/0.41 inference(split_clause,[status(thm)],[f916,f827,f913,f867,f830])).
% 0.14/0.41 fof(f920,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_54|~spl0_68|~spl0_65)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f914,f872])).
% 0.14/0.41 fof(f929,plain,(
% 0.14/0.41 ~ssItem(sk0_54)|memberP(sk0_47,sk0_54)|~spl0_1|~spl0_60),
% 0.14/0.41 inference(resolution,[status(thm)],[f443,f843])).
% 0.14/0.41 fof(f930,plain,(
% 0.14/0.41 ~spl0_57|spl0_58|~spl0_1|~spl0_60),
% 0.14/0.41 inference(split_clause,[status(thm)],[f929,f827,f830,f442,f842])).
% 0.14/0.41 fof(f931,plain,(
% 0.14/0.41 $false|spl0_4|~spl0_11),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f515,f504])).
% 0.14/0.41 fof(f932,plain,(
% 0.14/0.41 spl0_4|~spl0_11),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f931])).
% 0.14/0.41 fof(f934,plain,(
% 0.14/0.41 nil=sk0_47|~spl0_3),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f424,f451])).
% 0.14/0.41 fof(f959,plain,(
% 0.14/0.41 memberP(nil,sk0_54)|~spl0_3|~spl0_58),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f934,f831])).
% 0.14/0.41 fof(f960,plain,(
% 0.14/0.41 ~ssItem(sk0_54)|~spl0_3|~spl0_58),
% 0.14/0.41 inference(resolution,[status(thm)],[f959,f279])).
% 0.14/0.41 fof(f961,plain,(
% 0.14/0.41 ~spl0_57|~spl0_3|~spl0_58),
% 0.14/0.41 inference(split_clause,[status(thm)],[f960,f827,f450,f830])).
% 0.14/0.41 fof(f979,plain,(
% 0.14/0.41 spl0_70 <=> ~ssItem(X0)|~memberP(nil,X0)|~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=sk0_2(X0,nil)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f982,plain,(
% 0.14/0.41 ![X0]: (~ssList(nil)|~ssItem(X0)|~memberP(nil,X0)|~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=sk0_2(X0,nil))),
% 0.14/0.41 inference(resolution,[status(thm)],[f111,f386])).
% 0.14/0.41 fof(f983,plain,(
% 0.14/0.41 ~spl0_13|spl0_70),
% 0.14/0.41 inference(split_clause,[status(thm)],[f982,f522,f979])).
% 0.14/0.41 fof(f984,plain,(
% 0.14/0.41 spl0_71 <=> ~ssItem(X0)|~memberP(nil,X0)|~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=cons(X0,sk0_3(X0,nil))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f987,plain,(
% 0.14/0.41 ![X0]: (~ssList(nil)|~ssItem(X0)|~memberP(nil,X0)|~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=cons(X0,sk0_3(X0,nil)))),
% 0.14/0.41 inference(resolution,[status(thm)],[f111,f385])).
% 0.14/0.41 fof(f988,plain,(
% 0.14/0.41 ~spl0_13|spl0_71),
% 0.14/0.41 inference(split_clause,[status(thm)],[f987,f522,f984])).
% 0.14/0.41 fof(f989,plain,(
% 0.14/0.41 spl0_72 <=> ~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|sk0_4(cons(X0,X1))=X0),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f992,plain,(
% 0.14/0.41 ![X0,X1]: (~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(nil)|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|sk0_4(cons(X0,X1))=X0)),
% 0.14/0.41 inference(resolution,[status(thm)],[f117,f227])).
% 0.14/0.41 fof(f993,plain,(
% 0.14/0.41 spl0_72|~spl0_13),
% 0.14/0.41 inference(split_clause,[status(thm)],[f992,f989,f522])).
% 0.14/0.41 fof(f994,plain,(
% 0.14/0.41 spl0_73 <=> ~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|X1=nil),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f997,plain,(
% 0.14/0.41 ![X0,X1]: (~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(nil)|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|X1=nil)),
% 0.14/0.41 inference(resolution,[status(thm)],[f117,f228])).
% 0.14/0.41 fof(f998,plain,(
% 0.14/0.41 spl0_73|~spl0_13),
% 0.14/0.41 inference(split_clause,[status(thm)],[f997,f994,f522])).
% 0.14/0.41 fof(f1015,plain,(
% 0.14/0.41 spl0_76 <=> singletonP(cons(sk0_51,nil))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1018,plain,(
% 0.14/0.41 singletonP(cons(sk0_51,nil))|~ssItem(sk0_51)|~spl0_23),
% 0.14/0.41 inference(resolution,[status(thm)],[f475,f577])).
% 0.14/0.41 fof(f1019,plain,(
% 0.14/0.41 spl0_76|~spl0_24|~spl0_23),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1018,f1015,f585,f576])).
% 0.14/0.41 fof(f1020,plain,(
% 0.14/0.41 spl0_77 <=> singletonP(cons(X0,nil))|~ssItem(X0)|~ssItem(X0)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1023,plain,(
% 0.14/0.41 ![X0]: (singletonP(cons(X0,nil))|~ssItem(X0)|~ssList(nil)|~ssItem(X0))),
% 0.14/0.41 inference(resolution,[status(thm)],[f475,f222])).
% 0.14/0.41 fof(f1024,plain,(
% 0.14/0.41 spl0_77|~spl0_13),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1023,f1020,f522])).
% 0.14/0.41 fof(f1032,plain,(
% 0.14/0.41 spl0_78 <=> ~ssList(X0)|~frontsegP(nil,X0)|~ssList(X0)|~ssList(sk0_5(X0,nil))|nil=X0),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1035,plain,(
% 0.14/0.41 ![X0]: (~ssList(nil)|~ssList(X0)|~frontsegP(nil,X0)|~ssList(X0)|~ssList(sk0_5(X0,nil))|nil=X0)),
% 0.14/0.41 inference(resolution,[status(thm)],[f123,f386])).
% 0.14/0.41 fof(f1036,plain,(
% 0.14/0.41 ~spl0_13|spl0_78),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1035,f522,f1032])).
% 0.14/0.41 fof(f1037,plain,(
% 0.14/0.41 spl0_79 <=> ~ssList(X0)|~frontsegP(nil,X0)|~ssList(X0)|~ssList(sk0_5(X0,nil))|nil=sk0_5(X0,nil)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1040,plain,(
% 0.14/0.41 ![X0]: (~ssList(nil)|~ssList(X0)|~frontsegP(nil,X0)|~ssList(X0)|~ssList(sk0_5(X0,nil))|nil=sk0_5(X0,nil))),
% 0.14/0.41 inference(resolution,[status(thm)],[f123,f385])).
% 0.14/0.41 fof(f1041,plain,(
% 0.14/0.41 ~spl0_13|spl0_79),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1040,f522,f1037])).
% 0.14/0.41 fof(f1044,plain,(
% 0.14/0.41 ![X0,X1]: (~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f476,f245])).
% 0.14/0.41 fof(f1051,plain,(
% 0.14/0.41 spl0_80 <=> ~ssList(X0)|~rearsegP(nil,X0)|~ssList(sk0_6(X0,nil))|~ssList(X0)|nil=sk0_6(X0,nil)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1054,plain,(
% 0.14/0.41 ![X0]: (~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|~ssList(sk0_6(X0,nil))|~ssList(X0)|nil=sk0_6(X0,nil))),
% 0.14/0.41 inference(resolution,[status(thm)],[f129,f386])).
% 0.14/0.41 fof(f1055,plain,(
% 0.14/0.41 ~spl0_13|spl0_80),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1054,f522,f1051])).
% 0.14/0.41 fof(f1056,plain,(
% 0.14/0.41 spl0_81 <=> ~ssList(X0)|~rearsegP(nil,X0)|~ssList(sk0_6(X0,nil))|~ssList(X0)|nil=X0),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1059,plain,(
% 0.14/0.41 ![X0]: (~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|~ssList(sk0_6(X0,nil))|~ssList(X0)|nil=X0)),
% 0.14/0.41 inference(resolution,[status(thm)],[f129,f385])).
% 0.14/0.41 fof(f1060,plain,(
% 0.14/0.41 ~spl0_13|spl0_81),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1059,f522,f1056])).
% 0.14/0.41 fof(f1117,plain,(
% 0.14/0.41 spl0_88 <=> frontsegP(sk0_47,app(sk0_52,cons(sk0_51,nil)))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1120,plain,(
% 0.14/0.41 ~ssList(app(sk0_52,cons(sk0_51,nil)))|frontsegP(sk0_47,app(sk0_52,cons(sk0_51,nil)))|~ssList(sk0_53)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f428,f1044])).
% 0.14/0.41 fof(f1121,plain,(
% 0.14/0.41 ~spl0_17|spl0_88|~spl0_18),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1120,f550,f1117,f553])).
% 0.14/0.41 fof(f1173,plain,(
% 0.14/0.41 spl0_93 <=> memberP(sk0_47,sk0_51)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1174,plain,(
% 0.14/0.41 memberP(sk0_47,sk0_51)|~spl0_93),
% 0.14/0.41 inference(component_clause,[status(thm)],[f1173])).
% 0.14/0.41 fof(f1176,plain,(
% 0.14/0.41 ~ssItem(sk0_51)|memberP(sk0_47,sk0_51)|~ssList(app(sk0_52,cons(sk0_51,nil)))|~ssItem(sk0_51)|~ssList(sk0_52)|~ssList(nil)|~spl0_56),
% 0.14/0.41 inference(resolution,[status(thm)],[f823,f474])).
% 0.14/0.41 fof(f1177,plain,(
% 0.14/0.41 ~spl0_24|spl0_93|~spl0_17|~spl0_22|~spl0_13|~spl0_56),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1176,f585,f1173,f550,f573,f522,f822])).
% 0.14/0.41 fof(f1178,plain,(
% 0.14/0.41 spl0_94 <=> ~ssItem(X0)|memberP(sk0_47,X0)|~ssItem(X0)|~memberP(cons(sk0_51,nil),X0)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1181,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~ssItem(X0)|~ssList(sk0_52)|~ssList(cons(sk0_51,nil))|~memberP(cons(sk0_51,nil),X0)|~spl0_56)),
% 0.14/0.41 inference(resolution,[status(thm)],[f823,f272])).
% 0.14/0.41 fof(f1182,plain,(
% 0.14/0.41 spl0_94|~spl0_22|~spl0_23|~spl0_56),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1181,f1178,f573,f576,f822])).
% 0.14/0.41 fof(f1183,plain,(
% 0.14/0.41 spl0_95 <=> ~ssItem(X0)|memberP(sk0_47,X0)|~ssItem(X0)|~memberP(sk0_52,X0)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1186,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~ssItem(X0)|~ssList(sk0_52)|~ssList(cons(sk0_51,nil))|~memberP(sk0_52,X0)|~spl0_56)),
% 0.14/0.41 inference(resolution,[status(thm)],[f823,f271])).
% 0.14/0.41 fof(f1187,plain,(
% 0.14/0.41 spl0_95|~spl0_22|~spl0_23|~spl0_56),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1186,f1183,f573,f576,f822])).
% 0.14/0.41 fof(f1189,plain,(
% 0.14/0.41 spl0_96 <=> ~ssItem(X0)|~memberP(sk0_47,X0)|memberP(sk0_53,X0)|~ssItem(X0)|memberP(sk0_52,X0)|memberP(cons(sk0_51,nil),X0)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1192,plain,(
% 0.14/0.41 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|memberP(sk0_53,X0)|~ssItem(X0)|~ssList(sk0_52)|~ssList(cons(sk0_51,nil))|memberP(sk0_52,X0)|memberP(cons(sk0_51,nil),X0)|~spl0_64)),
% 0.14/0.41 inference(resolution,[status(thm)],[f863,f270])).
% 0.14/0.41 fof(f1193,plain,(
% 0.14/0.41 spl0_96|~spl0_22|~spl0_23|~spl0_64),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1192,f1189,f573,f576,f862])).
% 0.14/0.41 fof(f1195,plain,(
% 0.14/0.41 spl0_97 <=> sk0_51=sk0_54),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1196,plain,(
% 0.14/0.41 sk0_51=sk0_54|~spl0_97),
% 0.14/0.41 inference(component_clause,[status(thm)],[f1195])).
% 0.14/0.41 fof(f1198,plain,(
% 0.14/0.41 ~ssItem(sk0_51)|sk0_51=sk0_54|~spl0_93|~spl0_68|~spl0_65),
% 0.14/0.41 inference(resolution,[status(thm)],[f1174,f920])).
% 0.14/0.41 fof(f1199,plain,(
% 0.14/0.41 ~spl0_24|spl0_97|~spl0_93|~spl0_68|~spl0_65),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1198,f585,f1195,f1173,f913,f867])).
% 0.14/0.41 fof(f1203,plain,(
% 0.14/0.41 ~leq(sk0_51,sk0_51)|~spl0_97|~spl0_0),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f1196,f507])).
% 0.14/0.41 fof(f1211,plain,(
% 0.14/0.41 ~ssItem(sk0_51)|~spl0_97|~spl0_0),
% 0.14/0.41 inference(resolution,[status(thm)],[f1203,f255])).
% 0.14/0.41 fof(f1212,plain,(
% 0.14/0.41 ~spl0_24|~spl0_97|~spl0_0),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1211,f585,f1195,f439])).
% 0.14/0.41 fof(f1213,plain,(
% 0.14/0.41 ~leq(sk0_51,sk0_51)|~spl0_97|spl0_2),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f1196,f448])).
% 0.14/0.41 fof(f1216,plain,(
% 0.14/0.41 ~ssItem(sk0_51)|~spl0_97|spl0_2),
% 0.14/0.41 inference(resolution,[status(thm)],[f1213,f255])).
% 0.14/0.41 fof(f1217,plain,(
% 0.14/0.41 ~spl0_24|~spl0_97|spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1216,f585,f1195,f446])).
% 0.14/0.41 fof(f1218,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(sat_refutation,[status(thm)],[f445,f449,f456,f463,f467,f526,f528,f530,f557,f562,f580,f582,f584,f589,f591,f596,f603,f608,f618,f623,f632,f642,f649,f671,f700,f725,f730,f737,f751,f793,f798,f805,f811,f821,f826,f834,f836,f841,f846,f861,f866,f871,f917,f930,f932,f961,f983,f988,f993,f998,f1019,f1024,f1036,f1041,f1055,f1060,f1121,f1177,f1182,f1187,f1193,f1199,f1212,f1217])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.090992 seconds
% 0.14/0.42 % CPU time: 0.590660 seconds
% 0.14/0.42 % Total memory used: 73.476 MB
% 0.14/0.42 % Net memory used: 72.896 MB
%------------------------------------------------------------------------------