TSTP Solution File: SWC177+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC177+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:44:50 EDT 2024
% Result : Theorem 7.49s 1.31s
% Output : CNFRefutation 7.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC177+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:21:17 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 7.49/1.31 % Refutation found
% 7.49/1.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.49/1.31 % SZS output start CNFRefutation for theBenchmark
% 7.49/1.31 fof(f1,axiom,(
% 7.49/1.31 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f3,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ( memberP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(W,cons(V,X)) = U ) )) )) ) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f5,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f16,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f17,axiom,(
% 7.49/1.31 ssList(nil) ),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f23,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> hd(cons(V,U)) = V ) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f24,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> ( nil != U=> ssList(tl(U)) ) ) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f26,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f28,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f36,axiom,(
% 7.49/1.31 (! [U] :( ssItem(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( memberP(app(V,W),U)<=> ( memberP(V,U)| memberP(W,U) ) ) ) )) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f37,axiom,(
% 7.49/1.31 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> (! [W] :( ssList(W)=> ( memberP(cons(V,W),U)<=> ( U = V| memberP(W,U) ) ) ) )) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f38,axiom,(
% 7.49/1.31 (! [U] :( ssItem(U)=> ~ memberP(nil,U) ) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f41,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( frontsegP(U,V)& frontsegP(V,U) )=> U = V ) ) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f43,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( frontsegP(U,V)=> frontsegP(app(U,W),V) ) ) )) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f44,axiom,(
% 7.49/1.31 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( frontsegP(cons(U,W),cons(V,X))<=> ( U = V& frontsegP(W,X) ) ) ) )) )) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f45,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f78,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> ( nil != U=> cons(hd(U),tl(U)) = U ) ) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f80,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(V,W) = app(V,U)=> W = U ) ) )) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f82,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> app(app(U,V),W) = app(U,app(V,W)) ) )) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f83,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil = app(U,V)<=> ( nil = V& nil = U ) ) ) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f84,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f85,axiom,(
% 7.49/1.31 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil != U=> hd(app(U,V)) = hd(U) ) ) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f96,conjecture,(
% 7.49/1.31 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| (! [Y] :( ssItem(Y)=> (! [Z] :( ~ ssItem(Z)| (! [X1] :( ssList(X1)=> (! [X2] :( ssList(X2)=> app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2) != U ) )))| neq(Y,Z) ) )))| ( (! [X3] :( ~ ssItem(X3)| cons(X3,nil) != W| ~ memberP(X,X3) ))& ( nil != X| nil != W ) ) ) )) )) )) )),
% 7.49/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.31 fof(f97,negated_conjecture,(
% 7.49/1.31 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| (! [Y] :( ssItem(Y)=> (! [Z] :( ~ ssItem(Z)| (! [X1] :( ssList(X1)=> (! [X2] :( ssList(X2)=> app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2) != U ) )))| neq(Y,Z) ) )))| ( (! [X3] :( ~ ssItem(X3)| cons(X3,nil) != W| ~ memberP(X,X3) ))& ( nil != X| nil != W ) ) ) )) )) )) ))),
% 7.49/1.31 inference(negated_conjecture,[status(cth)],[f96])).
% 7.49/1.31 fof(f98,plain,(
% 7.49/1.31 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 7.49/1.31 fof(f99,plain,(
% 7.49/1.31 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 7.49/1.31 inference(NNF_transformation,[status(esa)],[f98])).
% 7.49/1.31 fof(f101,plain,(
% 7.49/1.31 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f99])).
% 7.49/1.31 fof(f106,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|(memberP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U))))))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 7.49/1.31 fof(f107,plain,(
% 7.49/1.31 ![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)))))))))),
% 7.49/1.31 inference(NNF_transformation,[status(esa)],[f106])).
% 7.49/1.31 fof(f108,plain,(
% 7.49/1.31 ![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)))))))))),
% 7.49/1.31 inference(skolemization,[status(esa)],[f107])).
% 7.49/1.31 fof(f112,plain,(
% 7.49/1.31 ![X0,X1,X2,X3]: (~ssList(X0)|~ssItem(X1)|memberP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(X2,cons(X1,X3))=X0)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f108])).
% 7.49/1.31 fof(f119,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 7.49/1.31 fof(f120,plain,(
% 7.49/1.31 ![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)))))))),
% 7.49/1.31 inference(NNF_transformation,[status(esa)],[f119])).
% 7.49/1.31 fof(f121,plain,(
% 7.49/1.31 ![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)))))))),
% 7.49/1.31 inference(skolemization,[status(esa)],[f120])).
% 7.49/1.31 fof(f124,plain,(
% 7.49/1.31 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|frontsegP(X0,X1)|~ssList(X2)|~app(X1,X2)=X0)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f121])).
% 7.49/1.31 fof(f221,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 7.49/1.31 fof(f222,plain,(
% 7.49/1.31 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f221])).
% 7.49/1.31 fof(f223,plain,(
% 7.49/1.31 ssList(nil)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f17])).
% 7.49/1.31 fof(f238,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|hd(cons(V,U))=V)))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 7.49/1.31 fof(f239,plain,(
% 7.49/1.31 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|hd(cons(X1,X0))=X1)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f238])).
% 7.49/1.31 fof(f240,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|(nil=U|ssList(tl(U))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 7.49/1.31 fof(f241,plain,(
% 7.49/1.31 ![X0]: (~ssList(X0)|nil=X0|ssList(tl(X0)))),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f240])).
% 7.49/1.31 fof(f244,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 7.49/1.31 fof(f245,plain,(
% 7.49/1.31 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f244])).
% 7.49/1.31 fof(f248,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|app(nil,U)=U)),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 7.49/1.31 fof(f249,plain,(
% 7.49/1.31 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f248])).
% 7.49/1.31 fof(f268,plain,(
% 7.49/1.31 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(memberP(app(V,W),U)<=>(memberP(V,U)|memberP(W,U))))))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 7.49/1.31 fof(f269,plain,(
% 7.49/1.31 ![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)))))))))),
% 7.49/1.31 inference(NNF_transformation,[status(esa)],[f268])).
% 7.49/1.31 fof(f271,plain,(
% 7.49/1.31 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X1,X0))),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f269])).
% 7.49/1.31 fof(f272,plain,(
% 7.49/1.31 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X2,X0))),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f269])).
% 7.49/1.31 fof(f273,plain,(
% 7.49/1.31 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|(memberP(cons(V,W),U)<=>(U=V|memberP(W,U))))))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 7.49/1.31 fof(f274,plain,(
% 7.49/1.31 ![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)))))))))),
% 7.49/1.31 inference(NNF_transformation,[status(esa)],[f273])).
% 7.49/1.31 fof(f275,plain,(
% 7.49/1.31 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~memberP(cons(X1,X2),X0)|X0=X1|memberP(X2,X0))),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f274])).
% 7.49/1.31 fof(f278,plain,(
% 7.49/1.31 ![U]: (~ssItem(U)|~memberP(nil,U))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 7.49/1.31 fof(f279,plain,(
% 7.49/1.31 ![X0]: (~ssItem(X0)|~memberP(nil,X0))),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f278])).
% 7.49/1.31 fof(f283,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|~frontsegP(V,U))|U=V))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 7.49/1.31 fof(f284,plain,(
% 7.49/1.31 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|~frontsegP(X1,X0)|X0=X1)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f283])).
% 7.49/1.31 fof(f287,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~frontsegP(U,V)|frontsegP(app(U,W),V)))))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 7.49/1.31 fof(f288,plain,(
% 7.49/1.31 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X0,X1)|frontsegP(app(X0,X2),X1))),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f287])).
% 7.49/1.31 fof(f289,plain,(
% 7.49/1.31 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|(frontsegP(cons(U,W),cons(V,X))<=>(U=V&frontsegP(W,X))))))))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 7.49/1.31 fof(f290,plain,(
% 7.49/1.31 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|((~frontsegP(cons(U,W),cons(V,X))|(U=V&frontsegP(W,X)))&(frontsegP(cons(U,W),cons(V,X))|(~U=V|~frontsegP(W,X)))))))))))),
% 7.49/1.31 inference(NNF_transformation,[status(esa)],[f289])).
% 7.49/1.31 fof(f293,plain,(
% 7.49/1.31 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|frontsegP(cons(X0,X2),cons(X1,X3))|~X0=X1|~frontsegP(X2,X3))),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f290])).
% 7.49/1.31 fof(f294,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 7.49/1.31 fof(f295,plain,(
% 7.49/1.31 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f294])).
% 7.49/1.31 fof(f373,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|(nil=U|cons(hd(U),tl(U))=U))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f78])).
% 7.49/1.31 fof(f374,plain,(
% 7.49/1.31 ![X0]: (~ssList(X0)|nil=X0|cons(hd(X0),tl(X0))=X0)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f373])).
% 7.49/1.31 fof(f377,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(V,W)=app(V,U)|W=U))))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f80])).
% 7.49/1.31 fof(f378,plain,(
% 7.49/1.31 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X1,X2)=app(X1,X0)|X2=X0)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f377])).
% 7.49/1.31 fof(f381,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|app(app(U,V),W)=app(U,app(V,W)))))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 7.49/1.31 fof(f382,plain,(
% 7.49/1.31 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X0,X1),X2)=app(X0,app(X1,X2)))),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f381])).
% 7.49/1.31 fof(f383,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=app(U,V)<=>(nil=V&nil=U)))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 7.49/1.31 fof(f384,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~nil=app(U,V)|(nil=V&nil=U))&(nil=app(U,V)|(~nil=V|~nil=U))))))),
% 7.49/1.31 inference(NNF_transformation,[status(esa)],[f383])).
% 7.49/1.31 fof(f386,plain,(
% 7.49/1.31 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X0)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f384])).
% 7.49/1.31 fof(f388,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|app(U,nil)=U)),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 7.49/1.31 fof(f389,plain,(
% 7.49/1.31 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f388])).
% 7.49/1.31 fof(f390,plain,(
% 7.49/1.31 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=U|hd(app(U,V))=hd(U)))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f85])).
% 7.49/1.31 fof(f391,plain,(
% 7.49/1.31 ![X0,X1]: (~ssList(X0)|~ssList(X1)|nil=X0|hd(app(X0,X1))=hd(X0))),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f390])).
% 7.49/1.31 fof(f415,plain,(
% 7.49/1.31 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&(?[Y]: (ssItem(Y)&(?[Z]: ((ssItem(Z)&(?[X1]: (ssList(X1)&(?[X2]: (ssList(X2)&app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2)=U)))))&~neq(Y,Z))))))&((?[X3]: ((ssItem(X3)&cons(X3,nil)=W)&memberP(X,X3)))|(nil=X&nil=W))))))))))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 7.49/1.31 fof(f416,plain,(
% 7.49/1.31 ![W,X,X3]: (pd0_0(X3,X,W)=>((ssItem(X3)&cons(X3,nil)=W)&memberP(X,X3)))),
% 7.49/1.31 introduced(predicate_definition,[f415])).
% 7.49/1.31 fof(f417,plain,(
% 7.49/1.31 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&(?[Y]: (ssItem(Y)&(?[Z]: ((ssItem(Z)&(?[X1]: (ssList(X1)&(?[X2]: (ssList(X2)&app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2)=U)))))&~neq(Y,Z))))))&((?[X3]: pd0_0(X3,X,W))|(nil=X&nil=W)))))))))),
% 7.49/1.31 inference(formula_renaming,[status(thm)],[f415,f416])).
% 7.49/1.31 fof(f418,plain,(
% 7.49/1.31 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&((((ssList(sk0_50)&sk0_48=sk0_50)&sk0_47=sk0_49)&(ssItem(sk0_51)&((ssItem(sk0_52)&(ssList(sk0_53)&(ssList(sk0_54)&app(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil)),sk0_54)=sk0_47)))&~neq(sk0_51,sk0_52))))&(pd0_0(sk0_55,sk0_50,sk0_49)|(nil=sk0_50&nil=sk0_49))))))),
% 7.49/1.31 inference(skolemization,[status(esa)],[f417])).
% 7.49/1.31 fof(f419,plain,(
% 7.49/1.31 ssList(sk0_47)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f418])).
% 7.49/1.31 fof(f423,plain,(
% 7.49/1.31 sk0_48=sk0_50),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f418])).
% 7.49/1.31 fof(f424,plain,(
% 7.49/1.31 sk0_47=sk0_49),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f418])).
% 7.49/1.31 fof(f425,plain,(
% 7.49/1.31 ssItem(sk0_51)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f418])).
% 7.49/1.31 fof(f426,plain,(
% 7.49/1.31 ssItem(sk0_52)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f418])).
% 7.49/1.31 fof(f427,plain,(
% 7.49/1.31 ssList(sk0_53)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f418])).
% 7.49/1.31 fof(f428,plain,(
% 7.49/1.31 ssList(sk0_54)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f418])).
% 7.49/1.31 fof(f429,plain,(
% 7.49/1.31 app(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil)),sk0_54)=sk0_47),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f418])).
% 7.49/1.31 fof(f430,plain,(
% 7.49/1.31 ~neq(sk0_51,sk0_52)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f418])).
% 7.49/1.31 fof(f432,plain,(
% 7.49/1.31 pd0_0(sk0_55,sk0_50,sk0_49)|nil=sk0_49),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f418])).
% 7.49/1.31 fof(f433,plain,(
% 7.49/1.31 ![W,X,X3]: (~pd0_0(X3,X,W)|((ssItem(X3)&cons(X3,nil)=W)&memberP(X,X3)))),
% 7.49/1.31 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 7.49/1.31 fof(f434,plain,(
% 7.49/1.31 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssItem(X0))),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f433])).
% 7.49/1.31 fof(f435,plain,(
% 7.49/1.31 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|cons(X0,nil)=X2)),
% 7.49/1.31 inference(cnf_transformation,[status(esa)],[f433])).
% 7.49/1.31 fof(f437,plain,(
% 7.49/1.31 spl0_0 <=> pd0_0(sk0_55,sk0_50,sk0_49)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f438,plain,(
% 7.49/1.31 pd0_0(sk0_55,sk0_50,sk0_49)|~spl0_0),
% 7.49/1.31 inference(component_clause,[status(thm)],[f437])).
% 7.49/1.31 fof(f444,plain,(
% 7.49/1.31 spl0_2 <=> nil=sk0_49),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f445,plain,(
% 7.49/1.31 nil=sk0_49|~spl0_2),
% 7.49/1.31 inference(component_clause,[status(thm)],[f444])).
% 7.49/1.31 fof(f447,plain,(
% 7.49/1.31 spl0_0|spl0_2),
% 7.49/1.31 inference(split_clause,[status(thm)],[f432,f437,f444])).
% 7.49/1.31 fof(f450,plain,(
% 7.49/1.31 ![X0,X1,X2]: (~ssList(app(X0,cons(X1,X2)))|~ssItem(X1)|memberP(app(X0,cons(X1,X2)),X1)|~ssList(X0)|~ssList(X2))),
% 7.49/1.31 inference(destructive_equality_resolution,[status(esa)],[f112])).
% 7.49/1.31 fof(f452,plain,(
% 7.49/1.31 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 7.49/1.31 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 7.49/1.31 fof(f467,plain,(
% 7.49/1.31 ![X1,X2,X3]: (~ssItem(X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|frontsegP(cons(X1,X2),cons(X1,X3))|~frontsegP(X2,X3))),
% 7.49/1.31 inference(destructive_equality_resolution,[status(esa)],[f293])).
% 7.49/1.31 fof(f468,plain,(
% 7.49/1.31 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|frontsegP(cons(X0,X1),cons(X0,X2))|~frontsegP(X1,X2))),
% 7.49/1.31 inference(duplicate_literals_removal,[status(esa)],[f467])).
% 7.49/1.31 fof(f480,plain,(
% 7.49/1.31 pd0_0(sk0_55,sk0_48,sk0_49)|~spl0_0),
% 7.49/1.31 inference(forward_demodulation,[status(thm)],[f423,f438])).
% 7.49/1.31 fof(f481,plain,(
% 7.49/1.31 pd0_0(sk0_55,sk0_48,sk0_47)|~spl0_0),
% 7.49/1.31 inference(forward_demodulation,[status(thm)],[f424,f480])).
% 7.49/1.31 fof(f482,plain,(
% 7.49/1.31 ssItem(sk0_55)|~spl0_0),
% 7.49/1.31 inference(resolution,[status(thm)],[f481,f434])).
% 7.49/1.31 fof(f484,plain,(
% 7.49/1.31 cons(sk0_55,nil)=sk0_47|~spl0_0),
% 7.49/1.31 inference(resolution,[status(thm)],[f435,f481])).
% 7.49/1.31 fof(f485,plain,(
% 7.49/1.31 spl0_3 <=> ssItem(sk0_51)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f487,plain,(
% 7.49/1.31 ~ssItem(sk0_51)|spl0_3),
% 7.49/1.31 inference(component_clause,[status(thm)],[f485])).
% 7.49/1.31 fof(f488,plain,(
% 7.49/1.31 spl0_4 <=> ssItem(sk0_52)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f490,plain,(
% 7.49/1.31 ~ssItem(sk0_52)|spl0_4),
% 7.49/1.31 inference(component_clause,[status(thm)],[f488])).
% 7.49/1.31 fof(f491,plain,(
% 7.49/1.31 spl0_5 <=> sk0_51=sk0_52),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f492,plain,(
% 7.49/1.31 sk0_51=sk0_52|~spl0_5),
% 7.49/1.31 inference(component_clause,[status(thm)],[f491])).
% 7.49/1.31 fof(f494,plain,(
% 7.49/1.31 ~ssItem(sk0_51)|~ssItem(sk0_52)|sk0_51=sk0_52),
% 7.49/1.31 inference(resolution,[status(thm)],[f101,f430])).
% 7.49/1.31 fof(f495,plain,(
% 7.49/1.31 ~spl0_3|~spl0_4|spl0_5),
% 7.49/1.31 inference(split_clause,[status(thm)],[f494,f485,f488,f491])).
% 7.49/1.31 fof(f496,plain,(
% 7.49/1.31 $false|spl0_4),
% 7.49/1.31 inference(forward_subsumption_resolution,[status(thm)],[f490,f426])).
% 7.49/1.31 fof(f497,plain,(
% 7.49/1.31 spl0_4),
% 7.49/1.31 inference(contradiction_clause,[status(thm)],[f496])).
% 7.49/1.31 fof(f498,plain,(
% 7.49/1.31 $false|spl0_3),
% 7.49/1.31 inference(forward_subsumption_resolution,[status(thm)],[f487,f425])).
% 7.49/1.31 fof(f499,plain,(
% 7.49/1.31 spl0_3),
% 7.49/1.31 inference(contradiction_clause,[status(thm)],[f498])).
% 7.49/1.31 fof(f500,plain,(
% 7.49/1.31 app(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_51,nil)),sk0_54)=sk0_47|~spl0_5),
% 7.49/1.31 inference(backward_demodulation,[status(thm)],[f492,f429])).
% 7.49/1.31 fof(f513,plain,(
% 7.49/1.31 spl0_8 <=> ssList(nil)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f515,plain,(
% 7.49/1.31 ~ssList(nil)|spl0_8),
% 7.49/1.31 inference(component_clause,[status(thm)],[f513])).
% 7.49/1.31 fof(f516,plain,(
% 7.49/1.31 spl0_9 <=> ssItem(sk0_55)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f518,plain,(
% 7.49/1.31 ~ssItem(sk0_55)|spl0_9),
% 7.49/1.31 inference(component_clause,[status(thm)],[f516])).
% 7.49/1.31 fof(f519,plain,(
% 7.49/1.31 spl0_10 <=> ssList(sk0_47)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f524,plain,(
% 7.49/1.31 $false|~spl0_0|spl0_9),
% 7.49/1.31 inference(forward_subsumption_resolution,[status(thm)],[f518,f482])).
% 7.49/1.31 fof(f525,plain,(
% 7.49/1.31 ~spl0_0|spl0_9),
% 7.49/1.31 inference(contradiction_clause,[status(thm)],[f524])).
% 7.49/1.31 fof(f527,plain,(
% 7.49/1.31 nil=sk0_47|~spl0_2),
% 7.49/1.31 inference(forward_demodulation,[status(thm)],[f424,f445])).
% 7.49/1.31 fof(f533,plain,(
% 7.49/1.31 nil=sk0_49|~spl0_2),
% 7.49/1.31 inference(backward_demodulation,[status(thm)],[f527,f424])).
% 7.49/1.31 fof(f537,plain,(
% 7.49/1.31 spl0_11 <=> ssList(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_51,nil)))),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f539,plain,(
% 7.49/1.31 ~ssList(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_51,nil)))|spl0_11),
% 7.49/1.31 inference(component_clause,[status(thm)],[f537])).
% 7.49/1.31 fof(f540,plain,(
% 7.49/1.31 spl0_12 <=> ssList(sk0_54)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f542,plain,(
% 7.49/1.31 ~ssList(sk0_54)|spl0_12),
% 7.49/1.31 inference(component_clause,[status(thm)],[f540])).
% 7.49/1.31 fof(f545,plain,(
% 7.49/1.31 $false|spl0_12),
% 7.49/1.31 inference(forward_subsumption_resolution,[status(thm)],[f542,f428])).
% 7.49/1.31 fof(f546,plain,(
% 7.49/1.31 spl0_12),
% 7.49/1.31 inference(contradiction_clause,[status(thm)],[f545])).
% 7.49/1.31 fof(f557,plain,(
% 7.49/1.31 spl0_13 <=> ssList(app(sk0_53,cons(sk0_51,nil)))),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f558,plain,(
% 7.49/1.31 ssList(app(sk0_53,cons(sk0_51,nil)))|~spl0_13),
% 7.49/1.31 inference(component_clause,[status(thm)],[f557])).
% 7.49/1.31 fof(f559,plain,(
% 7.49/1.31 ~ssList(app(sk0_53,cons(sk0_51,nil)))|spl0_13),
% 7.49/1.31 inference(component_clause,[status(thm)],[f557])).
% 7.49/1.31 fof(f560,plain,(
% 7.49/1.31 spl0_14 <=> ssList(cons(sk0_51,nil))),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f562,plain,(
% 7.49/1.31 ~ssList(cons(sk0_51,nil))|spl0_14),
% 7.49/1.31 inference(component_clause,[status(thm)],[f560])).
% 7.49/1.31 fof(f563,plain,(
% 7.49/1.31 ~ssList(app(sk0_53,cons(sk0_51,nil)))|~ssList(cons(sk0_51,nil))|spl0_11),
% 7.49/1.31 inference(resolution,[status(thm)],[f539,f245])).
% 7.49/1.31 fof(f564,plain,(
% 7.49/1.31 ~spl0_13|~spl0_14|spl0_11),
% 7.49/1.31 inference(split_clause,[status(thm)],[f563,f557,f560,f537])).
% 7.49/1.31 fof(f565,plain,(
% 7.49/1.31 ~ssList(nil)|~ssItem(sk0_51)|spl0_14),
% 7.49/1.31 inference(resolution,[status(thm)],[f562,f222])).
% 7.49/1.31 fof(f566,plain,(
% 7.49/1.31 ~spl0_8|~spl0_3|spl0_14),
% 7.49/1.31 inference(split_clause,[status(thm)],[f565,f513,f485,f560])).
% 7.49/1.31 fof(f567,plain,(
% 7.49/1.31 $false|spl0_8),
% 7.49/1.31 inference(forward_subsumption_resolution,[status(thm)],[f515,f223])).
% 7.49/1.31 fof(f568,plain,(
% 7.49/1.31 spl0_8),
% 7.49/1.31 inference(contradiction_clause,[status(thm)],[f567])).
% 7.49/1.31 fof(f569,plain,(
% 7.49/1.31 ~ssList(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_51,nil)))|~ssList(sk0_54)|ssList(sk0_47)|~spl0_5),
% 7.49/1.31 inference(paramodulation,[status(thm)],[f500,f245])).
% 7.49/1.31 fof(f570,plain,(
% 7.49/1.31 ~spl0_11|~spl0_12|spl0_10|~spl0_5),
% 7.49/1.31 inference(split_clause,[status(thm)],[f569,f537,f540,f519,f491])).
% 7.49/1.31 fof(f573,plain,(
% 7.49/1.31 spl0_15 <=> ssList(sk0_53)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f575,plain,(
% 7.49/1.31 ~ssList(sk0_53)|spl0_15),
% 7.49/1.31 inference(component_clause,[status(thm)],[f573])).
% 7.49/1.31 fof(f576,plain,(
% 7.49/1.31 ~ssList(sk0_53)|~ssList(cons(sk0_51,nil))|spl0_13),
% 7.49/1.31 inference(resolution,[status(thm)],[f559,f245])).
% 7.49/1.31 fof(f577,plain,(
% 7.49/1.31 ~spl0_15|~spl0_14|spl0_13),
% 7.49/1.31 inference(split_clause,[status(thm)],[f576,f573,f560,f557])).
% 7.49/1.31 fof(f578,plain,(
% 7.49/1.31 $false|spl0_15),
% 7.49/1.31 inference(forward_subsumption_resolution,[status(thm)],[f575,f427])).
% 7.49/1.31 fof(f579,plain,(
% 7.49/1.31 spl0_15),
% 7.49/1.31 inference(contradiction_clause,[status(thm)],[f578])).
% 7.49/1.31 fof(f617,plain,(
% 7.49/1.31 spl0_22 <=> sk0_47=app(app(sk0_53,cons(sk0_51,nil)),app(cons(sk0_51,nil),sk0_54))),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f618,plain,(
% 7.49/1.31 sk0_47=app(app(sk0_53,cons(sk0_51,nil)),app(cons(sk0_51,nil),sk0_54))|~spl0_22),
% 7.49/1.31 inference(component_clause,[status(thm)],[f617])).
% 7.49/1.31 fof(f620,plain,(
% 7.49/1.31 ~ssList(app(sk0_53,cons(sk0_51,nil)))|~ssList(cons(sk0_51,nil))|~ssList(sk0_54)|sk0_47=app(app(sk0_53,cons(sk0_51,nil)),app(cons(sk0_51,nil),sk0_54))|~spl0_5),
% 7.49/1.31 inference(paramodulation,[status(thm)],[f500,f382])).
% 7.49/1.31 fof(f621,plain,(
% 7.49/1.31 ~spl0_13|~spl0_14|~spl0_12|spl0_22|~spl0_5),
% 7.49/1.31 inference(split_clause,[status(thm)],[f620,f557,f560,f540,f617,f491])).
% 7.49/1.31 fof(f635,plain,(
% 7.49/1.31 spl0_25 <=> sk0_47=nil),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f663,plain,(
% 7.49/1.31 spl0_29 <=> nil=app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_51,nil))),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f664,plain,(
% 7.49/1.31 nil=app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_51,nil))|~spl0_29),
% 7.49/1.31 inference(component_clause,[status(thm)],[f663])).
% 7.49/1.31 fof(f666,plain,(
% 7.49/1.31 ~ssList(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_51,nil)))|~ssList(sk0_54)|~nil=sk0_47|nil=app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_51,nil))|~spl0_5),
% 7.49/1.31 inference(paramodulation,[status(thm)],[f500,f386])).
% 7.49/1.31 fof(f667,plain,(
% 7.49/1.31 ~spl0_11|~spl0_12|~spl0_25|spl0_29|~spl0_5),
% 7.49/1.31 inference(split_clause,[status(thm)],[f666,f537,f540,f635,f663,f491])).
% 7.49/1.31 fof(f673,plain,(
% 7.49/1.31 spl0_31 <=> ~ssItem(X0)|memberP(sk0_47,X0)|~memberP(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_51,nil)),X0)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f674,plain,(
% 7.49/1.31 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~memberP(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_51,nil)),X0)|~spl0_31)),
% 7.49/1.31 inference(component_clause,[status(thm)],[f673])).
% 7.49/1.31 fof(f676,plain,(
% 7.49/1.31 ![X0]: (~ssItem(X0)|~ssList(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_51,nil)))|~ssList(sk0_54)|memberP(sk0_47,X0)|~memberP(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_51,nil)),X0)|~spl0_5)),
% 7.49/1.31 inference(paramodulation,[status(thm)],[f500,f271])).
% 7.49/1.31 fof(f677,plain,(
% 7.49/1.31 spl0_31|~spl0_11|~spl0_12|~spl0_5),
% 7.49/1.31 inference(split_clause,[status(thm)],[f676,f673,f537,f540,f491])).
% 7.49/1.31 fof(f764,plain,(
% 7.49/1.31 spl0_41 <=> ~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_55|memberP(nil,X0)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f765,plain,(
% 7.49/1.31 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_55|memberP(nil,X0)|~spl0_41)),
% 7.49/1.31 inference(component_clause,[status(thm)],[f764])).
% 7.49/1.31 fof(f767,plain,(
% 7.49/1.31 ![X0]: (~ssItem(X0)|~ssItem(sk0_55)|~ssList(nil)|~memberP(sk0_47,X0)|X0=sk0_55|memberP(nil,X0)|~spl0_0)),
% 7.49/1.31 inference(paramodulation,[status(thm)],[f484,f275])).
% 7.49/1.31 fof(f768,plain,(
% 7.49/1.31 spl0_41|~spl0_9|~spl0_8|~spl0_0),
% 7.49/1.31 inference(split_clause,[status(thm)],[f767,f764,f516,f513,f437])).
% 7.49/1.31 fof(f769,plain,(
% 7.49/1.31 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_55|~spl0_41)),
% 7.49/1.31 inference(forward_subsumption_resolution,[status(thm)],[f765,f279])).
% 7.49/1.31 fof(f799,plain,(
% 7.49/1.31 ![X0,X1]: (~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 7.49/1.31 inference(forward_subsumption_resolution,[status(thm)],[f452,f245])).
% 7.49/1.31 fof(f970,plain,(
% 7.49/1.31 nil=sk0_47|~spl0_2),
% 7.49/1.31 inference(forward_demodulation,[status(thm)],[f424,f533])).
% 7.49/1.31 fof(f1266,plain,(
% 7.49/1.31 spl0_112 <=> memberP(nil,sk0_51)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f1267,plain,(
% 7.49/1.31 memberP(nil,sk0_51)|~spl0_112),
% 7.49/1.31 inference(component_clause,[status(thm)],[f1266])).
% 7.49/1.31 fof(f1269,plain,(
% 7.49/1.31 ~ssList(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_51,nil)))|~ssItem(sk0_51)|memberP(nil,sk0_51)|~ssList(app(sk0_53,cons(sk0_51,nil)))|~ssList(nil)|~spl0_29),
% 7.49/1.31 inference(paramodulation,[status(thm)],[f664,f450])).
% 7.49/1.31 fof(f1270,plain,(
% 7.49/1.31 ~spl0_11|~spl0_3|spl0_112|~spl0_13|~spl0_8|~spl0_29),
% 7.49/1.31 inference(split_clause,[status(thm)],[f1269,f537,f485,f1266,f557,f513,f663])).
% 7.49/1.31 fof(f1326,plain,(
% 7.49/1.31 ~ssItem(sk0_51)|~spl0_112),
% 7.49/1.31 inference(resolution,[status(thm)],[f1267,f279])).
% 7.49/1.31 fof(f1327,plain,(
% 7.49/1.31 ~spl0_3|~spl0_112),
% 7.49/1.31 inference(split_clause,[status(thm)],[f1326,f485,f1266])).
% 7.49/1.31 fof(f1369,plain,(
% 7.49/1.31 spl0_25|~spl0_2),
% 7.49/1.31 inference(split_clause,[status(thm)],[f970,f635,f444])).
% 7.49/1.31 fof(f1556,plain,(
% 7.49/1.31 spl0_141 <=> ssList(app(cons(sk0_51,nil),sk0_54))),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f1558,plain,(
% 7.49/1.31 ~ssList(app(cons(sk0_51,nil),sk0_54))|spl0_141),
% 7.49/1.31 inference(component_clause,[status(thm)],[f1556])).
% 7.49/1.31 fof(f1586,plain,(
% 7.49/1.31 spl0_147 <=> frontsegP(sk0_47,app(sk0_53,cons(sk0_51,nil)))),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f1587,plain,(
% 7.49/1.31 frontsegP(sk0_47,app(sk0_53,cons(sk0_51,nil)))|~spl0_147),
% 7.49/1.31 inference(component_clause,[status(thm)],[f1586])).
% 7.49/1.31 fof(f1589,plain,(
% 7.49/1.31 ~ssList(app(sk0_53,cons(sk0_51,nil)))|frontsegP(sk0_47,app(sk0_53,cons(sk0_51,nil)))|~ssList(app(cons(sk0_51,nil),sk0_54))|~spl0_22),
% 7.49/1.31 inference(paramodulation,[status(thm)],[f618,f799])).
% 7.49/1.31 fof(f1590,plain,(
% 7.49/1.31 ~spl0_13|spl0_147|~spl0_141|~spl0_22),
% 7.49/1.31 inference(split_clause,[status(thm)],[f1589,f557,f1586,f1556,f617])).
% 7.49/1.31 fof(f1627,plain,(
% 7.49/1.31 spl0_154 <=> memberP(sk0_47,sk0_51)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f1628,plain,(
% 7.49/1.31 memberP(sk0_47,sk0_51)|~spl0_154),
% 7.49/1.31 inference(component_clause,[status(thm)],[f1627])).
% 7.49/1.31 fof(f1630,plain,(
% 7.49/1.31 ~ssItem(sk0_51)|memberP(sk0_47,sk0_51)|~ssList(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_51,nil)))|~ssItem(sk0_51)|~ssList(app(sk0_53,cons(sk0_51,nil)))|~ssList(nil)|~spl0_31),
% 7.49/1.31 inference(resolution,[status(thm)],[f674,f450])).
% 7.49/1.31 fof(f1631,plain,(
% 7.49/1.31 ~spl0_3|spl0_154|~spl0_11|~spl0_13|~spl0_8|~spl0_31),
% 7.49/1.31 inference(split_clause,[status(thm)],[f1630,f485,f1627,f537,f557,f513,f673])).
% 7.49/1.31 fof(f1644,plain,(
% 7.49/1.31 spl0_157 <=> sk0_51=sk0_55),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f1645,plain,(
% 7.49/1.31 sk0_51=sk0_55|~spl0_157),
% 7.49/1.31 inference(component_clause,[status(thm)],[f1644])).
% 7.49/1.31 fof(f1647,plain,(
% 7.49/1.31 ~ssItem(sk0_51)|sk0_51=sk0_55|~spl0_154|~spl0_41),
% 7.49/1.31 inference(resolution,[status(thm)],[f1628,f769])).
% 7.49/1.31 fof(f1648,plain,(
% 7.49/1.31 ~spl0_3|spl0_157|~spl0_154|~spl0_41),
% 7.49/1.31 inference(split_clause,[status(thm)],[f1647,f485,f1644,f1627,f764])).
% 7.49/1.31 fof(f1650,plain,(
% 7.49/1.31 cons(sk0_51,nil)=sk0_47|~spl0_157|~spl0_0),
% 7.49/1.31 inference(backward_demodulation,[status(thm)],[f1645,f484])).
% 7.49/1.31 fof(f1663,plain,(
% 7.49/1.31 ~ssList(cons(sk0_51,nil))|~ssList(sk0_54)|spl0_141),
% 7.49/1.31 inference(resolution,[status(thm)],[f1558,f245])).
% 7.49/1.31 fof(f1664,plain,(
% 7.49/1.31 ~spl0_14|~spl0_12|spl0_141),
% 7.49/1.31 inference(split_clause,[status(thm)],[f1663,f560,f540,f1556])).
% 7.49/1.31 fof(f1693,plain,(
% 7.49/1.31 sk0_47=app(app(sk0_53,cons(sk0_51,nil)),app(sk0_47,sk0_54))|~spl0_157|~spl0_0|~spl0_22),
% 7.49/1.31 inference(backward_demodulation,[status(thm)],[f1650,f618])).
% 7.49/1.31 fof(f1694,plain,(
% 7.49/1.31 sk0_47=app(app(sk0_53,sk0_47),app(sk0_47,sk0_54))|~spl0_157|~spl0_0|~spl0_22),
% 7.49/1.31 inference(forward_demodulation,[status(thm)],[f1650,f1693])).
% 7.49/1.31 fof(f1696,plain,(
% 7.49/1.31 app(app(app(sk0_53,cons(sk0_51,nil)),sk0_47),sk0_54)=sk0_47|~spl0_157|~spl0_0|~spl0_5),
% 7.49/1.31 inference(backward_demodulation,[status(thm)],[f1650,f500])).
% 7.49/1.31 fof(f1697,plain,(
% 7.49/1.31 app(app(app(sk0_53,sk0_47),sk0_47),sk0_54)=sk0_47|~spl0_157|~spl0_0|~spl0_5),
% 7.49/1.31 inference(forward_demodulation,[status(thm)],[f1650,f1696])).
% 7.49/1.31 fof(f1698,plain,(
% 7.49/1.31 ssList(app(sk0_53,sk0_47))|~spl0_157|~spl0_0|~spl0_13),
% 7.49/1.31 inference(backward_demodulation,[status(thm)],[f1650,f558])).
% 7.49/1.31 fof(f1960,plain,(
% 7.49/1.31 spl0_196 <=> ssList(app(sk0_53,sk0_47))),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f1962,plain,(
% 7.49/1.31 ~ssList(app(sk0_53,sk0_47))|spl0_196),
% 7.49/1.31 inference(component_clause,[status(thm)],[f1960])).
% 7.49/1.31 fof(f1963,plain,(
% 7.49/1.31 spl0_197 <=> ssList(app(sk0_47,sk0_54))),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f1965,plain,(
% 7.49/1.31 ~ssList(app(sk0_47,sk0_54))|spl0_197),
% 7.49/1.31 inference(component_clause,[status(thm)],[f1963])).
% 7.49/1.31 fof(f1968,plain,(
% 7.49/1.31 $false|~spl0_157|~spl0_0|~spl0_13|spl0_196),
% 7.49/1.31 inference(forward_subsumption_resolution,[status(thm)],[f1962,f1698])).
% 7.49/1.31 fof(f1969,plain,(
% 7.49/1.31 ~spl0_157|~spl0_0|~spl0_13|spl0_196),
% 7.49/1.31 inference(contradiction_clause,[status(thm)],[f1968])).
% 7.49/1.31 fof(f1970,plain,(
% 7.49/1.31 ~ssList(sk0_47)|~ssList(sk0_54)|spl0_197),
% 7.49/1.31 inference(resolution,[status(thm)],[f1965,f245])).
% 7.49/1.31 fof(f1971,plain,(
% 7.49/1.31 ~spl0_10|~spl0_12|spl0_197),
% 7.49/1.31 inference(split_clause,[status(thm)],[f1970,f519,f540,f1963])).
% 7.49/1.31 fof(f2074,plain,(
% 7.49/1.31 frontsegP(sk0_47,app(sk0_53,sk0_47))|~spl0_157|~spl0_0|~spl0_147),
% 7.49/1.31 inference(forward_demodulation,[status(thm)],[f1650,f1587])).
% 7.49/1.31 fof(f2138,plain,(
% 7.49/1.31 spl0_221 <=> nil=app(sk0_47,sk0_54)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f2139,plain,(
% 7.49/1.31 nil=app(sk0_47,sk0_54)|~spl0_221),
% 7.49/1.31 inference(component_clause,[status(thm)],[f2138])).
% 7.49/1.31 fof(f2143,plain,(
% 7.49/1.31 spl0_222 <=> nil=app(sk0_53,sk0_47)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f2144,plain,(
% 7.49/1.31 nil=app(sk0_53,sk0_47)|~spl0_222),
% 7.49/1.31 inference(component_clause,[status(thm)],[f2143])).
% 7.49/1.31 fof(f2218,plain,(
% 7.49/1.31 spl0_235 <=> nil=sk0_53),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f2219,plain,(
% 7.49/1.31 nil=sk0_53|~spl0_235),
% 7.49/1.31 inference(component_clause,[status(thm)],[f2218])).
% 7.49/1.31 fof(f2568,plain,(
% 7.49/1.31 spl0_268 <=> ~ssItem(X0)|memberP(nil,X0)|~memberP(sk0_47,X0)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f2569,plain,(
% 7.49/1.31 ![X0]: (~ssItem(X0)|memberP(nil,X0)|~memberP(sk0_47,X0)|~spl0_268)),
% 7.49/1.31 inference(component_clause,[status(thm)],[f2568])).
% 7.49/1.31 fof(f2571,plain,(
% 7.49/1.31 ![X0]: (~ssItem(X0)|~ssList(sk0_53)|~ssList(sk0_47)|memberP(nil,X0)|~memberP(sk0_47,X0)|~spl0_222)),
% 7.49/1.31 inference(paramodulation,[status(thm)],[f2144,f272])).
% 7.49/1.31 fof(f2572,plain,(
% 7.49/1.31 spl0_268|~spl0_15|~spl0_10|~spl0_222),
% 7.49/1.31 inference(split_clause,[status(thm)],[f2571,f2568,f573,f519,f2143])).
% 7.49/1.31 fof(f2573,plain,(
% 7.49/1.31 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|~spl0_268)),
% 7.49/1.31 inference(forward_subsumption_resolution,[status(thm)],[f2569,f279])).
% 7.49/1.31 fof(f2583,plain,(
% 7.49/1.31 ~ssItem(sk0_51)|~spl0_268|~spl0_154),
% 7.49/1.31 inference(resolution,[status(thm)],[f2573,f1628])).
% 7.49/1.31 fof(f2584,plain,(
% 7.49/1.31 ~spl0_3|~spl0_268|~spl0_154),
% 7.49/1.31 inference(split_clause,[status(thm)],[f2583,f485,f2568,f1627])).
% 7.49/1.31 fof(f2675,plain,(
% 7.49/1.31 spl0_275 <=> hd(sk0_47)=sk0_51),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f2676,plain,(
% 7.49/1.31 hd(sk0_47)=sk0_51|~spl0_275),
% 7.49/1.31 inference(component_clause,[status(thm)],[f2675])).
% 7.49/1.31 fof(f2678,plain,(
% 7.49/1.31 ~ssList(nil)|~ssItem(sk0_51)|hd(sk0_47)=sk0_51|~spl0_157|~spl0_0),
% 7.49/1.31 inference(paramodulation,[status(thm)],[f1650,f239])).
% 7.49/1.31 fof(f2679,plain,(
% 7.49/1.31 ~spl0_8|~spl0_3|spl0_275|~spl0_157|~spl0_0),
% 7.49/1.31 inference(split_clause,[status(thm)],[f2678,f513,f485,f2675,f1644,f437])).
% 7.49/1.31 fof(f3080,plain,(
% 7.49/1.31 spl0_324 <=> sk0_47=app(sk0_47,nil)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f3081,plain,(
% 7.49/1.31 sk0_47=app(sk0_47,nil)|~spl0_324),
% 7.49/1.31 inference(component_clause,[status(thm)],[f3080])).
% 7.49/1.31 fof(f3082,plain,(
% 7.49/1.31 ~sk0_47=app(sk0_47,nil)|spl0_324),
% 7.49/1.31 inference(component_clause,[status(thm)],[f3080])).
% 7.49/1.31 fof(f3155,plain,(
% 7.49/1.31 spl0_335 <=> ~ssList(X0)|~app(sk0_47,X0)=sk0_47|X0=nil),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f3156,plain,(
% 7.49/1.31 ![X0]: (~ssList(X0)|~app(sk0_47,X0)=sk0_47|X0=nil|~spl0_335)),
% 7.49/1.31 inference(component_clause,[status(thm)],[f3155])).
% 7.49/1.31 fof(f3158,plain,(
% 7.49/1.31 ![X0]: (~ssList(nil)|~ssList(sk0_47)|~ssList(X0)|~app(sk0_47,X0)=sk0_47|X0=nil|~spl0_324)),
% 7.49/1.31 inference(paramodulation,[status(thm)],[f3081,f378])).
% 7.49/1.31 fof(f3159,plain,(
% 7.49/1.31 ~spl0_8|~spl0_10|spl0_335|~spl0_324),
% 7.49/1.31 inference(split_clause,[status(thm)],[f3158,f513,f519,f3155,f3080])).
% 7.49/1.31 fof(f3178,plain,(
% 7.49/1.31 ~ssList(sk0_47)|spl0_324),
% 7.49/1.31 inference(resolution,[status(thm)],[f3082,f389])).
% 7.49/1.31 fof(f3179,plain,(
% 7.49/1.31 $false|spl0_324),
% 7.49/1.31 inference(forward_subsumption_resolution,[status(thm)],[f3178,f419])).
% 7.49/1.31 fof(f3180,plain,(
% 7.49/1.31 spl0_324),
% 7.49/1.31 inference(contradiction_clause,[status(thm)],[f3179])).
% 7.49/1.31 fof(f3788,plain,(
% 7.49/1.31 spl0_428 <=> frontsegP(app(sk0_53,sk0_47),sk0_47)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f3790,plain,(
% 7.49/1.31 ~frontsegP(app(sk0_53,sk0_47),sk0_47)|spl0_428),
% 7.49/1.31 inference(component_clause,[status(thm)],[f3788])).
% 7.49/1.31 fof(f3791,plain,(
% 7.49/1.31 spl0_429 <=> app(sk0_53,sk0_47)=sk0_47),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f3792,plain,(
% 7.49/1.31 app(sk0_53,sk0_47)=sk0_47|~spl0_429),
% 7.49/1.31 inference(component_clause,[status(thm)],[f3791])).
% 7.49/1.31 fof(f3793,plain,(
% 7.49/1.31 ~app(sk0_53,sk0_47)=sk0_47|spl0_429),
% 7.49/1.31 inference(component_clause,[status(thm)],[f3791])).
% 7.49/1.31 fof(f3794,plain,(
% 7.49/1.31 ~ssList(app(sk0_53,sk0_47))|~ssList(sk0_47)|~frontsegP(app(sk0_53,sk0_47),sk0_47)|app(sk0_53,sk0_47)=sk0_47|~spl0_157|~spl0_0|~spl0_147),
% 7.49/1.31 inference(resolution,[status(thm)],[f284,f2074])).
% 7.49/1.31 fof(f3795,plain,(
% 7.49/1.31 ~spl0_196|~spl0_10|~spl0_428|spl0_429|~spl0_157|~spl0_0|~spl0_147),
% 7.49/1.31 inference(split_clause,[status(thm)],[f3794,f1960,f519,f3788,f3791,f1644,f437,f1586])).
% 7.49/1.31 fof(f3796,plain,(
% 7.49/1.31 spl0_430 <=> frontsegP(sk0_53,sk0_47)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f3873,plain,(
% 7.49/1.31 spl0_444 <=> ~ssList(X0)|frontsegP(cons(sk0_51,X0),sk0_47)|~frontsegP(X0,nil)),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f3874,plain,(
% 7.49/1.31 ![X0]: (~ssList(X0)|frontsegP(cons(sk0_51,X0),sk0_47)|~frontsegP(X0,nil)|~spl0_444)),
% 7.49/1.31 inference(component_clause,[status(thm)],[f3873])).
% 7.49/1.31 fof(f3876,plain,(
% 7.49/1.31 ![X0]: (~ssItem(sk0_51)|~ssList(X0)|~ssList(nil)|frontsegP(cons(sk0_51,X0),sk0_47)|~frontsegP(X0,nil)|~spl0_157|~spl0_0)),
% 7.49/1.31 inference(paramodulation,[status(thm)],[f1650,f468])).
% 7.49/1.31 fof(f3877,plain,(
% 7.49/1.31 ~spl0_3|spl0_444|~spl0_8|~spl0_157|~spl0_0),
% 7.49/1.31 inference(split_clause,[status(thm)],[f3876,f485,f3873,f513,f1644,f437])).
% 7.49/1.31 fof(f3878,plain,(
% 7.49/1.31 ![X0]: (~ssList(X0)|frontsegP(cons(sk0_51,X0),sk0_47)|~spl0_444)),
% 7.49/1.31 inference(forward_subsumption_resolution,[status(thm)],[f3874,f295])).
% 7.49/1.31 fof(f3951,plain,(
% 7.49/1.31 ~ssList(sk0_53)|~ssList(sk0_47)|~ssList(sk0_47)|~frontsegP(sk0_53,sk0_47)|spl0_428),
% 7.49/1.31 inference(resolution,[status(thm)],[f3790,f288])).
% 7.49/1.31 fof(f3952,plain,(
% 7.49/1.31 ~spl0_15|~spl0_10|~spl0_430|spl0_428),
% 7.49/1.31 inference(split_clause,[status(thm)],[f3951,f573,f519,f3796,f3788])).
% 7.49/1.31 fof(f3954,plain,(
% 7.49/1.31 app(app(sk0_47,sk0_47),sk0_54)=sk0_47|~spl0_429|~spl0_157|~spl0_0|~spl0_5),
% 7.49/1.31 inference(backward_demodulation,[status(thm)],[f3792,f1697])).
% 7.49/1.31 fof(f4246,plain,(
% 7.49/1.31 spl0_486 <=> app(sk0_47,app(sk0_47,sk0_54))=sk0_47),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f4247,plain,(
% 7.49/1.31 app(sk0_47,app(sk0_47,sk0_54))=sk0_47|~spl0_486),
% 7.49/1.31 inference(component_clause,[status(thm)],[f4246])).
% 7.49/1.31 fof(f4744,plain,(
% 7.49/1.31 ~ssList(app(sk0_47,sk0_54))|app(sk0_47,sk0_54)=nil|~spl0_486|~spl0_335),
% 7.49/1.31 inference(resolution,[status(thm)],[f4247,f3156])).
% 7.49/1.31 fof(f4745,plain,(
% 7.49/1.31 ~spl0_197|spl0_221|~spl0_486|~spl0_335),
% 7.49/1.31 inference(split_clause,[status(thm)],[f4744,f1963,f2138,f4246,f3155])).
% 7.49/1.31 fof(f5560,plain,(
% 7.49/1.31 spl0_639 <=> hd(sk0_47)=hd(app(sk0_53,sk0_47))),
% 7.49/1.31 introduced(split_symbol_definition)).
% 7.49/1.31 fof(f5561,plain,(
% 7.49/1.31 hd(sk0_47)=hd(app(sk0_53,sk0_47))|~spl0_639),
% 7.49/1.32 inference(component_clause,[status(thm)],[f5560])).
% 7.49/1.32 fof(f5563,plain,(
% 7.49/1.32 ~ssList(app(sk0_53,sk0_47))|~ssList(app(sk0_47,sk0_54))|nil=app(sk0_53,sk0_47)|hd(sk0_47)=hd(app(sk0_53,sk0_47))|~spl0_157|~spl0_0|~spl0_22),
% 7.49/1.32 inference(paramodulation,[status(thm)],[f1694,f391])).
% 7.49/1.32 fof(f5564,plain,(
% 7.49/1.32 ~spl0_196|~spl0_197|spl0_222|spl0_639|~spl0_157|~spl0_0|~spl0_22),
% 7.49/1.32 inference(split_clause,[status(thm)],[f5563,f1960,f1963,f2143,f5560,f1644,f437,f617])).
% 7.49/1.32 fof(f5596,plain,(
% 7.49/1.32 sk0_51=hd(app(sk0_53,sk0_47))|~spl0_275|~spl0_639),
% 7.49/1.32 inference(forward_demodulation,[status(thm)],[f2676,f5561])).
% 7.49/1.32 fof(f5606,plain,(
% 7.49/1.32 spl0_641 <=> sk0_51=hd(sk0_53)),
% 7.49/1.32 introduced(split_symbol_definition)).
% 7.49/1.32 fof(f5607,plain,(
% 7.49/1.32 sk0_51=hd(sk0_53)|~spl0_641),
% 7.49/1.32 inference(component_clause,[status(thm)],[f5606])).
% 7.49/1.32 fof(f5609,plain,(
% 7.49/1.32 ~ssList(sk0_53)|~ssList(sk0_47)|nil=sk0_53|sk0_51=hd(sk0_53)|~spl0_275|~spl0_639),
% 7.49/1.32 inference(paramodulation,[status(thm)],[f5596,f391])).
% 7.49/1.32 fof(f5610,plain,(
% 7.49/1.32 ~spl0_15|~spl0_10|spl0_235|spl0_641|~spl0_275|~spl0_639),
% 7.49/1.32 inference(split_clause,[status(thm)],[f5609,f573,f519,f2218,f5606,f2675,f5560])).
% 7.49/1.32 fof(f5632,plain,(
% 7.49/1.32 ~app(nil,sk0_47)=sk0_47|~spl0_235|spl0_429),
% 7.49/1.32 inference(backward_demodulation,[status(thm)],[f2219,f3793])).
% 7.49/1.32 fof(f5659,plain,(
% 7.49/1.32 ~ssList(sk0_47)|~spl0_235|spl0_429),
% 7.49/1.32 inference(resolution,[status(thm)],[f5632,f249])).
% 7.49/1.32 fof(f5660,plain,(
% 7.49/1.32 $false|~spl0_235|spl0_429),
% 7.49/1.32 inference(forward_subsumption_resolution,[status(thm)],[f5659,f419])).
% 7.49/1.32 fof(f5661,plain,(
% 7.49/1.32 ~spl0_235|spl0_429),
% 7.49/1.32 inference(contradiction_clause,[status(thm)],[f5660])).
% 7.49/1.32 fof(f5672,plain,(
% 7.49/1.32 spl0_645 <=> cons(sk0_51,tl(sk0_53))=sk0_53),
% 7.49/1.32 introduced(split_symbol_definition)).
% 7.49/1.32 fof(f5673,plain,(
% 7.49/1.32 cons(sk0_51,tl(sk0_53))=sk0_53|~spl0_645),
% 7.49/1.32 inference(component_clause,[status(thm)],[f5672])).
% 7.49/1.32 fof(f5675,plain,(
% 7.49/1.32 ~ssList(sk0_53)|nil=sk0_53|cons(sk0_51,tl(sk0_53))=sk0_53|~spl0_641),
% 7.49/1.32 inference(paramodulation,[status(thm)],[f5607,f374])).
% 7.49/1.32 fof(f5676,plain,(
% 7.49/1.32 ~spl0_15|spl0_235|spl0_645|~spl0_641),
% 7.49/1.32 inference(split_clause,[status(thm)],[f5675,f573,f2218,f5672,f5606])).
% 7.49/1.32 fof(f5775,plain,(
% 7.49/1.32 spl0_650 <=> ssList(tl(sk0_53))),
% 7.49/1.32 introduced(split_symbol_definition)).
% 7.49/1.32 fof(f5777,plain,(
% 7.49/1.32 ~ssList(tl(sk0_53))|spl0_650),
% 7.49/1.32 inference(component_clause,[status(thm)],[f5775])).
% 7.49/1.32 fof(f5778,plain,(
% 7.49/1.32 ~ssList(tl(sk0_53))|frontsegP(sk0_53,sk0_47)|~spl0_444|~spl0_645),
% 7.49/1.32 inference(paramodulation,[status(thm)],[f5673,f3878])).
% 7.49/1.32 fof(f5779,plain,(
% 7.49/1.32 ~spl0_650|spl0_430|~spl0_444|~spl0_645),
% 7.49/1.32 inference(split_clause,[status(thm)],[f5778,f5775,f3796,f3873,f5672])).
% 7.49/1.32 fof(f5911,plain,(
% 7.49/1.32 ~ssList(sk0_53)|nil=sk0_53|spl0_650),
% 7.49/1.32 inference(resolution,[status(thm)],[f5777,f241])).
% 7.49/1.32 fof(f5912,plain,(
% 7.49/1.32 ~spl0_15|spl0_235|spl0_650),
% 7.49/1.32 inference(split_clause,[status(thm)],[f5911,f573,f2218,f5775])).
% 7.49/1.32 fof(f6170,plain,(
% 7.49/1.32 ~ssList(sk0_47)|~ssList(sk0_47)|~ssList(sk0_54)|sk0_47=app(sk0_47,app(sk0_47,sk0_54))|~spl0_429|~spl0_157|~spl0_0|~spl0_5),
% 7.49/1.32 inference(paramodulation,[status(thm)],[f3954,f382])).
% 7.49/1.32 fof(f6171,plain,(
% 7.49/1.32 ~spl0_10|~spl0_12|spl0_486|~spl0_429|~spl0_157|~spl0_0|~spl0_5),
% 7.49/1.32 inference(split_clause,[status(thm)],[f6170,f519,f540,f4246,f3791,f1644,f437,f491])).
% 7.49/1.32 fof(f6320,plain,(
% 7.49/1.32 ![X0]: (~ssItem(X0)|~ssList(sk0_47)|~ssList(sk0_54)|memberP(nil,X0)|~memberP(sk0_47,X0)|~spl0_221)),
% 7.49/1.32 inference(paramodulation,[status(thm)],[f2139,f271])).
% 7.49/1.32 fof(f6321,plain,(
% 7.49/1.32 spl0_268|~spl0_10|~spl0_12|~spl0_221),
% 7.49/1.32 inference(split_clause,[status(thm)],[f6320,f2568,f519,f540,f2138])).
% 7.49/1.32 fof(f6379,plain,(
% 7.49/1.32 $false),
% 7.49/1.32 inference(sat_refutation,[status(thm)],[f447,f495,f497,f499,f525,f546,f564,f566,f568,f570,f577,f579,f621,f667,f677,f768,f1270,f1327,f1369,f1590,f1631,f1648,f1664,f1969,f1971,f2572,f2584,f2679,f3159,f3180,f3795,f3877,f3952,f4745,f5564,f5610,f5661,f5676,f5779,f5912,f6171,f6321])).
% 7.49/1.32 % SZS output end CNFRefutation for theBenchmark.p
% 7.49/1.33 % Elapsed time: 0.978231 seconds
% 7.49/1.33 % CPU time: 7.613897 seconds
% 7.49/1.33 % Total memory used: 138.773 MB
% 7.49/1.33 % Net memory used: 135.382 MB
%------------------------------------------------------------------------------