TSTP Solution File: SWC418+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC418+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:45:43 EDT 2024
% Result : Theorem 42.69s 5.76s
% Output : CNFRefutation 43.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWC418+1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n008.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:14:57 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.6.0
% 42.69/5.76 % Refutation found
% 42.69/5.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 42.69/5.76 % SZS output start CNFRefutation for theBenchmark
% 42.69/5.76 fof(f2,axiom,(
% 42.69/5.76 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f5,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f6,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( rearsegP(U,V)<=> (? [W] :( ssList(W)& app(W,V) = U ) )) ) )) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f15,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f16,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f17,axiom,(
% 42.69/5.76 ssList(nil) ),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f19,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssItem(X)=> ( cons(W,U) = cons(X,V)=> ( W = X& V = U ) ) ) )) )) )) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f20,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> ( nil = U| (? [V] :( ssList(V)& (? [W] :( ssItem(W)& cons(W,V) = U ) )) )) ) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f22,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> ( nil != U=> ssItem(hd(U)) ) ) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f23,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> hd(cons(V,U)) = V ) )) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f24,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> ( nil != U=> ssList(tl(U)) ) ) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f26,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f28,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f30,axiom,(
% 42.69/5.76 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> (! [W] :( ssItem(W)=> ( ( leq(U,V)& leq(V,W) )=> leq(U,W) ) ) )) )) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f31,axiom,(
% 42.69/5.76 (! [U] :( ssItem(U)=> leq(U,U) ) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f42,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f75,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> ( nil != U=> (? [V] :( ssItem(V)& hd(U) = V ) )) ) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f76,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> ( nil != U=> (? [V] :( ssList(V)& tl(U) = V ) )) ) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f78,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> ( nil != U=> cons(hd(U),tl(U)) = U ) ) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f79,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(W,V) = app(U,V)=> W = U ) ) )) )) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f80,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(V,W) = app(V,U)=> W = U ) ) )) )) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f81,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> cons(V,U) = app(cons(V,nil),U) ) )) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f83,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil = app(U,V)<=> ( nil = V& nil = U ) ) ) )) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f84,axiom,(
% 42.69/5.76 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f87,axiom,(
% 42.69/5.76 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( ( geq(U,V)& geq(V,U) )=> U = V ) ) )) )),
% 42.69/5.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.69/5.76 fof(f88,axiom,(
% 43.30/5.78 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> (! [W] :( ssItem(W)=> ( ( geq(U,V)& geq(V,W) )=> geq(U,W) ) ) )) )) )),
% 43.30/5.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.30/5.78 fof(f89,axiom,(
% 43.30/5.78 (! [U] :( ssItem(U)=> geq(U,U) ) )),
% 43.30/5.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.30/5.78 fof(f96,conjecture,(
% 43.30/5.78 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssItem(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Z,cons(Y,nil)),X1) = V& app(app(X1,cons(Y,nil)),Z) = U ) )) )))| ( nil != W& nil = X )| ( (? [X2] :( ssList(X2)& W != X2& (? [X3] :( ssList(X3)& (? [X4] :( ssList(X4)& tl(X) = X3& app(X3,X4) = X2& (? [X5] :( ssItem(X5)& cons(X5,nil) = X4& hd(X) = X5& neq(nil,X) ))& neq(nil,X) ) )) )))& neq(X,nil) ) ) ) )) )) )) )),
% 43.30/5.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.30/5.78 fof(f97,negated_conjecture,(
% 43.30/5.78 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssItem(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Z,cons(Y,nil)),X1) = V& app(app(X1,cons(Y,nil)),Z) = U ) )) )))| ( nil != W& nil = X )| ( (? [X2] :( ssList(X2)& W != X2& (? [X3] :( ssList(X3)& (? [X4] :( ssList(X4)& tl(X) = X3& app(X3,X4) = X2& (? [X5] :( ssItem(X5)& cons(X5,nil) = X4& hd(X) = X5& neq(nil,X) ))& neq(nil,X) ) )) )))& neq(X,nil) ) ) ) )) )) )) ))),
% 43.30/5.78 inference(negated_conjecture,[status(cth)],[f96])).
% 43.30/5.78 fof(f102,plain,(
% 43.30/5.78 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 43.30/5.78 inference(skolemization,[status(esa)],[f2])).
% 43.30/5.78 fof(f103,plain,(
% 43.30/5.78 ssItem(sk0_0)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f102])).
% 43.30/5.78 fof(f104,plain,(
% 43.30/5.78 ssItem(sk0_1)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f102])).
% 43.30/5.78 fof(f105,plain,(
% 43.30/5.78 ~sk0_0=sk0_1),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f102])).
% 43.30/5.78 fof(f119,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 43.30/5.78 fof(f120,plain,(
% 43.30/5.78 ![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)))))))),
% 43.30/5.78 inference(NNF_transformation,[status(esa)],[f119])).
% 43.30/5.78 fof(f121,plain,(
% 43.30/5.78 ![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)))))))),
% 43.30/5.78 inference(skolemization,[status(esa)],[f120])).
% 43.30/5.78 fof(f123,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sk0_5(X1,X0))=X0)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f121])).
% 43.30/5.78 fof(f124,plain,(
% 43.30/5.78 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|frontsegP(X0,X1)|~ssList(X2)|~app(X1,X2)=X0)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f121])).
% 43.30/5.78 fof(f125,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(rearsegP(U,V)<=>(?[W]: (ssList(W)&app(W,V)=U))))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 43.30/5.78 fof(f126,plain,(
% 43.30/5.78 ![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)))))))),
% 43.30/5.78 inference(NNF_transformation,[status(esa)],[f125])).
% 43.30/5.78 fof(f127,plain,(
% 43.30/5.78 ![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)))))))),
% 43.30/5.78 inference(skolemization,[status(esa)],[f126])).
% 43.30/5.78 fof(f130,plain,(
% 43.30/5.78 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|rearsegP(X0,X1)|~ssList(X2)|~app(X2,X1)=X0)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f127])).
% 43.30/5.78 fof(f217,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 43.30/5.78 fof(f218,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 43.30/5.78 inference(NNF_transformation,[status(esa)],[f217])).
% 43.30/5.78 fof(f219,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f218])).
% 43.30/5.78 fof(f220,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f218])).
% 43.30/5.78 fof(f221,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 43.30/5.78 fof(f222,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f221])).
% 43.30/5.78 fof(f223,plain,(
% 43.30/5.78 ssList(nil)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f17])).
% 43.30/5.78 fof(f226,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssItem(W)|(![X]: (~ssItem(X)|(~cons(W,U)=cons(X,V)|(W=X&V=U)))))))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 43.30/5.78 fof(f227,plain,(
% 43.30/5.78 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X2=X3)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f226])).
% 43.30/5.78 fof(f229,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(nil=U|(?[V]: (ssList(V)&(?[W]: (ssItem(W)&cons(W,V)=U))))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 43.30/5.78 fof(f230,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(nil=U|(ssList(sk0_43(U))&(ssItem(sk0_44(U))&cons(sk0_44(U),sk0_43(U))=U))))),
% 43.30/5.78 inference(skolemization,[status(esa)],[f229])).
% 43.30/5.78 fof(f233,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|nil=X0|cons(sk0_44(X0),sk0_43(X0))=X0)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f230])).
% 43.30/5.78 fof(f236,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(nil=U|ssItem(hd(U))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 43.30/5.78 fof(f237,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|nil=X0|ssItem(hd(X0)))),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f236])).
% 43.30/5.78 fof(f238,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|hd(cons(V,U))=V)))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 43.30/5.78 fof(f239,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|hd(cons(X1,X0))=X1)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f238])).
% 43.30/5.78 fof(f240,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(nil=U|ssList(tl(U))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 43.30/5.78 fof(f241,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|nil=X0|ssList(tl(X0)))),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f240])).
% 43.30/5.78 fof(f244,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 43.30/5.78 fof(f245,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f244])).
% 43.30/5.78 fof(f248,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|app(nil,U)=U)),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 43.30/5.78 fof(f249,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f248])).
% 43.30/5.78 fof(f252,plain,(
% 43.30/5.78 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssItem(W)|((~leq(U,V)|~leq(V,W))|leq(U,W)))))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 43.30/5.78 fof(f253,plain,(
% 43.30/5.78 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssItem(X2)|~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f252])).
% 43.30/5.78 fof(f254,plain,(
% 43.30/5.78 ![U]: (~ssItem(U)|leq(U,U))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 43.30/5.78 fof(f255,plain,(
% 43.30/5.78 ![X0]: (~ssItem(X0)|leq(X0,X0))),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f254])).
% 43.30/5.78 fof(f285,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|frontsegP(U,U))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 43.30/5.78 fof(f286,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f285])).
% 43.30/5.78 fof(f363,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(nil=U|(?[V]: (ssItem(V)&hd(U)=V))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 43.30/5.78 fof(f364,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(nil=U|(ssItem(sk0_45(U))&hd(U)=sk0_45(U))))),
% 43.30/5.78 inference(skolemization,[status(esa)],[f363])).
% 43.30/5.78 fof(f366,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|nil=X0|hd(X0)=sk0_45(X0))),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f364])).
% 43.30/5.78 fof(f367,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(nil=U|(?[V]: (ssList(V)&tl(U)=V))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 43.30/5.78 fof(f368,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(nil=U|(ssList(sk0_46(U))&tl(U)=sk0_46(U))))),
% 43.30/5.78 inference(skolemization,[status(esa)],[f367])).
% 43.30/5.78 fof(f370,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|nil=X0|tl(X0)=sk0_46(X0))),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f368])).
% 43.30/5.78 fof(f373,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(nil=U|cons(hd(U),tl(U))=U))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f78])).
% 43.30/5.78 fof(f374,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|nil=X0|cons(hd(X0),tl(X0))=X0)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f373])).
% 43.30/5.78 fof(f375,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(W,V)=app(U,V)|W=U))))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f79])).
% 43.30/5.78 fof(f376,plain,(
% 43.30/5.78 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X2,X1)=app(X0,X1)|X2=X0)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f375])).
% 43.30/5.78 fof(f377,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(V,W)=app(V,U)|W=U))))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f80])).
% 43.30/5.78 fof(f378,plain,(
% 43.30/5.78 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X1,X2)=app(X1,X0)|X2=X0)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f377])).
% 43.30/5.78 fof(f379,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|cons(V,U)=app(cons(V,nil),U))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 43.30/5.78 fof(f380,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|cons(X1,X0)=app(cons(X1,nil),X0))),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f379])).
% 43.30/5.78 fof(f383,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=app(U,V)<=>(nil=V&nil=U)))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 43.30/5.78 fof(f384,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~nil=app(U,V)|(nil=V&nil=U))&(nil=app(U,V)|(~nil=V|~nil=U))))))),
% 43.30/5.78 inference(NNF_transformation,[status(esa)],[f383])).
% 43.30/5.78 fof(f385,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X1)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f384])).
% 43.30/5.78 fof(f388,plain,(
% 43.30/5.78 ![U]: (~ssList(U)|app(U,nil)=U)),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 43.30/5.78 fof(f389,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f388])).
% 43.30/5.78 fof(f394,plain,(
% 43.30/5.78 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~geq(U,V)|~geq(V,U))|U=V))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f87])).
% 43.30/5.78 fof(f395,plain,(
% 43.30/5.78 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~geq(X0,X1)|~geq(X1,X0)|X0=X1)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f394])).
% 43.30/5.78 fof(f396,plain,(
% 43.30/5.78 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssItem(W)|((~geq(U,V)|~geq(V,W))|geq(U,W)))))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f88])).
% 43.30/5.78 fof(f397,plain,(
% 43.30/5.78 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssItem(X2)|~geq(X0,X1)|~geq(X1,X2)|geq(X0,X2))),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f396])).
% 43.30/5.78 fof(f398,plain,(
% 43.30/5.78 ![U]: (~ssItem(U)|geq(U,U))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f89])).
% 43.30/5.78 fof(f399,plain,(
% 43.30/5.78 ![X0]: (~ssItem(X0)|geq(X0,X0))),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f398])).
% 43.30/5.78 fof(f415,plain,(
% 43.30/5.78 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&neq(V,nil))&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=V)|~app(app(X1,cons(Y,nil)),Z)=U)))))))&(nil=W|~nil=X))&((![X2]: ((~ssList(X2)|W=X2)|(![X3]: (~ssList(X3)|(![X4]: ((((~ssList(X4)|~tl(X)=X3)|~app(X3,X4)=X2)|(![X5]: (((~ssItem(X5)|~cons(X5,nil)=X4)|~hd(X)=X5)|~neq(nil,X))))|~neq(nil,X)))))))|~neq(X,nil)))))))))))),
% 43.30/5.78 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 43.30/5.78 fof(f416,plain,(
% 43.30/5.78 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&neq(V,nil))&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=V)|~app(app(X1,cons(Y,nil)),Z)=U)))))))&(nil=W|~nil=X))&((![X2]: ((~ssList(X2)|W=X2)|(![X3]: (~ssList(X3)|((![X4]: (((~ssList(X4)|~tl(X)=X3)|~app(X3,X4)=X2)|((![X5]: ((~ssItem(X5)|~cons(X5,nil)=X4)|~hd(X)=X5))|~neq(nil,X))))|~neq(nil,X))))))|~neq(X,nil))))))))))),
% 43.30/5.78 inference(miniscoping,[status(esa)],[f415])).
% 43.30/5.78 fof(f417,plain,(
% 43.30/5.78 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&(((((sk0_48=sk0_50&sk0_47=sk0_49)&neq(sk0_48,nil))&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=sk0_48)|~app(app(X1,cons(Y,nil)),Z)=sk0_47)))))))&(nil=sk0_49|~nil=sk0_50))&((![X2]: ((~ssList(X2)|sk0_49=X2)|(![X3]: (~ssList(X3)|((![X4]: (((~ssList(X4)|~tl(sk0_50)=X3)|~app(X3,X4)=X2)|((![X5]: ((~ssItem(X5)|~cons(X5,nil)=X4)|~hd(sk0_50)=X5))|~neq(nil,sk0_50))))|~neq(nil,sk0_50))))))|~neq(sk0_50,nil)))))))),
% 43.30/5.78 inference(skolemization,[status(esa)],[f416])).
% 43.30/5.78 fof(f418,plain,(
% 43.30/5.78 ssList(sk0_47)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f417])).
% 43.30/5.78 fof(f419,plain,(
% 43.30/5.78 ssList(sk0_48)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f417])).
% 43.30/5.78 fof(f422,plain,(
% 43.30/5.78 sk0_48=sk0_50),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f417])).
% 43.30/5.78 fof(f423,plain,(
% 43.30/5.78 sk0_47=sk0_49),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f417])).
% 43.30/5.78 fof(f424,plain,(
% 43.30/5.78 neq(sk0_48,nil)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f417])).
% 43.30/5.78 fof(f425,plain,(
% 43.30/5.78 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk0_48|~app(app(X2,cons(X0,nil)),X1)=sk0_47)),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f417])).
% 43.30/5.78 fof(f426,plain,(
% 43.30/5.78 nil=sk0_49|~nil=sk0_50),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f417])).
% 43.30/5.78 fof(f427,plain,(
% 43.30/5.78 ![X0,X1,X2,X3]: (~ssList(X0)|sk0_49=X0|~ssList(X1)|~ssList(X2)|~tl(sk0_50)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk0_50)=X3|~neq(nil,sk0_50)|~neq(nil,sk0_50)|~neq(sk0_50,nil))),
% 43.30/5.78 inference(cnf_transformation,[status(esa)],[f417])).
% 43.30/5.78 fof(f428,plain,(
% 43.30/5.78 spl0_0 <=> nil=sk0_49),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f429,plain,(
% 43.30/5.78 nil=sk0_49|~spl0_0),
% 43.30/5.78 inference(component_clause,[status(thm)],[f428])).
% 43.30/5.78 fof(f430,plain,(
% 43.30/5.78 ~nil=sk0_49|spl0_0),
% 43.30/5.78 inference(component_clause,[status(thm)],[f428])).
% 43.30/5.78 fof(f431,plain,(
% 43.30/5.78 spl0_1 <=> nil=sk0_50),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f433,plain,(
% 43.30/5.78 ~nil=sk0_50|spl0_1),
% 43.30/5.78 inference(component_clause,[status(thm)],[f431])).
% 43.30/5.78 fof(f434,plain,(
% 43.30/5.78 spl0_0|~spl0_1),
% 43.30/5.78 inference(split_clause,[status(thm)],[f426,f428,f431])).
% 43.30/5.78 fof(f435,plain,(
% 43.30/5.78 spl0_2 <=> ~ssList(X0)|sk0_49=X0|~ssList(X1)|~ssList(X2)|~tl(sk0_50)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk0_50)=X3),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f436,plain,(
% 43.30/5.78 ![X0,X1,X2,X3]: (~ssList(X0)|sk0_49=X0|~ssList(X1)|~ssList(X2)|~tl(sk0_50)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk0_50)=X3|~spl0_2)),
% 43.30/5.78 inference(component_clause,[status(thm)],[f435])).
% 43.30/5.78 fof(f438,plain,(
% 43.30/5.78 spl0_3 <=> neq(nil,sk0_50)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f440,plain,(
% 43.30/5.78 ~neq(nil,sk0_50)|spl0_3),
% 43.30/5.78 inference(component_clause,[status(thm)],[f438])).
% 43.30/5.78 fof(f441,plain,(
% 43.30/5.78 spl0_4 <=> neq(sk0_50,nil)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f443,plain,(
% 43.30/5.78 ~neq(sk0_50,nil)|spl0_4),
% 43.30/5.78 inference(component_clause,[status(thm)],[f441])).
% 43.30/5.78 fof(f444,plain,(
% 43.30/5.78 spl0_2|~spl0_3|~spl0_4),
% 43.30/5.78 inference(split_clause,[status(thm)],[f427,f435,f438,f441])).
% 43.30/5.78 fof(f449,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 43.30/5.78 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 43.30/5.78 fof(f450,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X1)|rearsegP(app(X0,X1),X1)|~ssList(X0))),
% 43.30/5.78 inference(destructive_equality_resolution,[status(esa)],[f130])).
% 43.30/5.78 fof(f460,plain,(
% 43.30/5.78 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 43.30/5.78 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 43.30/5.78 fof(f461,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 43.30/5.78 inference(duplicate_literals_removal,[status(esa)],[f460])).
% 43.30/5.78 fof(f475,plain,(
% 43.30/5.78 ~nil=sk0_48|spl0_1),
% 43.30/5.78 inference(forward_demodulation,[status(thm)],[f422,f433])).
% 43.30/5.78 fof(f476,plain,(
% 43.30/5.78 ~neq(sk0_48,nil)|spl0_4),
% 43.30/5.78 inference(forward_demodulation,[status(thm)],[f422,f443])).
% 43.30/5.78 fof(f477,plain,(
% 43.30/5.78 $false|spl0_4),
% 43.30/5.78 inference(forward_subsumption_resolution,[status(thm)],[f476,f424])).
% 43.30/5.78 fof(f478,plain,(
% 43.30/5.78 spl0_4),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f477])).
% 43.30/5.78 fof(f479,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|rearsegP(app(X1,X0),X0)|~ssList(X1))),
% 43.30/5.78 inference(backward_subsumption_resolution,[status(thm)],[f450,f245])).
% 43.30/5.78 fof(f480,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 43.30/5.78 inference(backward_subsumption_resolution,[status(thm)],[f449,f245])).
% 43.30/5.78 fof(f483,plain,(
% 43.30/5.78 ~neq(nil,sk0_48)|spl0_3),
% 43.30/5.78 inference(forward_demodulation,[status(thm)],[f422,f440])).
% 43.30/5.78 fof(f485,plain,(
% 43.30/5.78 ~neq(sk0_48,sk0_48)),
% 43.30/5.78 inference(resolution,[status(thm)],[f461,f419])).
% 43.30/5.78 fof(f486,plain,(
% 43.30/5.78 ~neq(sk0_47,sk0_47)),
% 43.30/5.78 inference(resolution,[status(thm)],[f461,f418])).
% 43.30/5.78 fof(f487,plain,(
% 43.30/5.78 app(nil,sk0_48)=sk0_48),
% 43.30/5.78 inference(resolution,[status(thm)],[f249,f419])).
% 43.30/5.78 fof(f488,plain,(
% 43.30/5.78 app(nil,sk0_47)=sk0_47),
% 43.30/5.78 inference(resolution,[status(thm)],[f249,f418])).
% 43.30/5.78 fof(f489,plain,(
% 43.30/5.78 app(sk0_48,nil)=sk0_48),
% 43.30/5.78 inference(resolution,[status(thm)],[f389,f419])).
% 43.30/5.78 fof(f490,plain,(
% 43.30/5.78 app(sk0_47,nil)=sk0_47),
% 43.30/5.78 inference(resolution,[status(thm)],[f389,f418])).
% 43.30/5.78 fof(f495,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|neq(X0,sk0_48)|X0=sk0_48)),
% 43.30/5.78 inference(resolution,[status(thm)],[f220,f419])).
% 43.30/5.78 fof(f496,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|neq(X0,sk0_47)|X0=sk0_47)),
% 43.30/5.78 inference(resolution,[status(thm)],[f220,f418])).
% 43.30/5.78 fof(f501,plain,(
% 43.30/5.78 leq(sk0_1,sk0_1)),
% 43.30/5.78 inference(resolution,[status(thm)],[f255,f104])).
% 43.30/5.78 fof(f502,plain,(
% 43.30/5.78 leq(sk0_0,sk0_0)),
% 43.30/5.78 inference(resolution,[status(thm)],[f255,f103])).
% 43.30/5.78 fof(f504,plain,(
% 43.30/5.78 frontsegP(sk0_48,sk0_48)),
% 43.30/5.78 inference(resolution,[status(thm)],[f286,f419])).
% 43.30/5.78 fof(f505,plain,(
% 43.30/5.78 frontsegP(sk0_47,sk0_47)),
% 43.30/5.78 inference(resolution,[status(thm)],[f286,f418])).
% 43.30/5.78 fof(f522,plain,(
% 43.30/5.78 spl0_5 <=> ssList(nil)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f524,plain,(
% 43.30/5.78 ~ssList(nil)|spl0_5),
% 43.30/5.78 inference(component_clause,[status(thm)],[f522])).
% 43.30/5.78 fof(f525,plain,(
% 43.30/5.78 spl0_6 <=> nil=sk0_48),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f526,plain,(
% 43.30/5.78 nil=sk0_48|~spl0_6),
% 43.30/5.78 inference(component_clause,[status(thm)],[f525])).
% 43.30/5.78 fof(f528,plain,(
% 43.30/5.78 ~ssList(nil)|nil=sk0_48|spl0_3),
% 43.30/5.78 inference(resolution,[status(thm)],[f495,f483])).
% 43.30/5.78 fof(f529,plain,(
% 43.30/5.78 ~spl0_5|spl0_6|spl0_3),
% 43.30/5.78 inference(split_clause,[status(thm)],[f528,f522,f525,f438])).
% 43.30/5.78 fof(f530,plain,(
% 43.30/5.78 $false|spl0_5),
% 43.30/5.78 inference(forward_subsumption_resolution,[status(thm)],[f524,f223])).
% 43.30/5.78 fof(f531,plain,(
% 43.30/5.78 spl0_5),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f530])).
% 43.30/5.78 fof(f532,plain,(
% 43.30/5.78 ![X0,X1,X2,X3]: (~ssList(X0)|sk0_47=X0|~ssList(X1)|~ssList(X2)|~tl(sk0_50)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk0_50)=X3|~spl0_2)),
% 43.30/5.78 inference(forward_demodulation,[status(thm)],[f423,f436])).
% 43.30/5.78 fof(f533,plain,(
% 43.30/5.78 ![X0,X1,X2,X3]: (~ssList(X0)|sk0_47=X0|~ssList(X1)|~ssList(X2)|~tl(sk0_48)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk0_50)=X3|~spl0_2)),
% 43.30/5.78 inference(forward_demodulation,[status(thm)],[f422,f532])).
% 43.30/5.78 fof(f534,plain,(
% 43.30/5.78 ![X0,X1,X2,X3]: (~ssList(X0)|sk0_47=X0|~ssList(X1)|~ssList(X2)|~tl(sk0_48)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk0_48)=X3|~spl0_2)),
% 43.30/5.78 inference(forward_demodulation,[status(thm)],[f422,f533])).
% 43.30/5.78 fof(f535,plain,(
% 43.30/5.78 ~ssList(app(tl(sk0_48),cons(hd(sk0_48),nil)))|sk0_47=app(tl(sk0_48),cons(hd(sk0_48),nil))|~ssList(tl(sk0_48))|~ssList(cons(hd(sk0_48),nil))|~ssItem(hd(sk0_48))|~spl0_2),
% 43.30/5.78 inference(destructive_equality_resolution,[status(esa)],[f534])).
% 43.30/5.78 fof(f536,plain,(
% 43.30/5.78 sk0_47=app(tl(sk0_48),cons(hd(sk0_48),nil))|~ssList(tl(sk0_48))|~ssList(cons(hd(sk0_48),nil))|~ssItem(hd(sk0_48))|~spl0_2),
% 43.30/5.78 inference(forward_subsumption_resolution,[status(thm)],[f535,f245])).
% 43.30/5.78 fof(f537,plain,(
% 43.30/5.78 $false|spl0_1|~spl0_6),
% 43.30/5.78 inference(forward_subsumption_resolution,[status(thm)],[f526,f475])).
% 43.30/5.78 fof(f538,plain,(
% 43.30/5.78 spl0_1|~spl0_6),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f537])).
% 43.30/5.78 fof(f539,plain,(
% 43.30/5.78 nil=sk0_47|~spl0_0),
% 43.30/5.78 inference(forward_demodulation,[status(thm)],[f423,f429])).
% 43.30/5.78 fof(f557,plain,(
% 43.30/5.78 spl0_8 <=> ssList(tl(sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f558,plain,(
% 43.30/5.78 ssList(tl(sk0_48))|~spl0_8),
% 43.30/5.78 inference(component_clause,[status(thm)],[f557])).
% 43.30/5.78 fof(f559,plain,(
% 43.30/5.78 ~ssList(tl(sk0_48))|spl0_8),
% 43.30/5.78 inference(component_clause,[status(thm)],[f557])).
% 43.30/5.78 fof(f560,plain,(
% 43.30/5.78 spl0_9 <=> ssList(cons(hd(sk0_48),nil))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f561,plain,(
% 43.30/5.78 ssList(cons(hd(sk0_48),nil))|~spl0_9),
% 43.30/5.78 inference(component_clause,[status(thm)],[f560])).
% 43.30/5.78 fof(f562,plain,(
% 43.30/5.78 ~ssList(cons(hd(sk0_48),nil))|spl0_9),
% 43.30/5.78 inference(component_clause,[status(thm)],[f560])).
% 43.30/5.78 fof(f563,plain,(
% 43.30/5.78 spl0_10 <=> ssItem(hd(sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f564,plain,(
% 43.30/5.78 ssItem(hd(sk0_48))|~spl0_10),
% 43.30/5.78 inference(component_clause,[status(thm)],[f563])).
% 43.30/5.78 fof(f565,plain,(
% 43.30/5.78 ~ssItem(hd(sk0_48))|spl0_10),
% 43.30/5.78 inference(component_clause,[status(thm)],[f563])).
% 43.30/5.78 fof(f572,plain,(
% 43.30/5.78 ~neq(sk0_47,nil)|~spl0_0),
% 43.30/5.78 inference(backward_demodulation,[status(thm)],[f539,f486])).
% 43.30/5.78 fof(f573,plain,(
% 43.30/5.78 ~neq(nil,nil)|~spl0_0),
% 43.30/5.78 inference(forward_demodulation,[status(thm)],[f539,f572])).
% 43.30/5.78 fof(f581,plain,(
% 43.30/5.78 neq(nil,nil)|~spl0_6),
% 43.30/5.78 inference(backward_demodulation,[status(thm)],[f526,f424])).
% 43.30/5.78 fof(f582,plain,(
% 43.30/5.78 $false|~spl0_0|~spl0_6),
% 43.30/5.78 inference(forward_subsumption_resolution,[status(thm)],[f581,f573])).
% 43.30/5.78 fof(f583,plain,(
% 43.30/5.78 ~spl0_0|~spl0_6),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f582])).
% 43.30/5.78 fof(f585,plain,(
% 43.30/5.78 spl0_11 <=> ssList(sk0_48)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f587,plain,(
% 43.30/5.78 ~ssList(sk0_48)|spl0_11),
% 43.30/5.78 inference(component_clause,[status(thm)],[f585])).
% 43.30/5.78 fof(f588,plain,(
% 43.30/5.78 ~ssList(sk0_48)|nil=sk0_48|spl0_10),
% 43.30/5.78 inference(resolution,[status(thm)],[f565,f237])).
% 43.30/5.78 fof(f589,plain,(
% 43.30/5.78 ~spl0_11|spl0_6|spl0_10),
% 43.30/5.78 inference(split_clause,[status(thm)],[f588,f585,f525,f563])).
% 43.30/5.78 fof(f590,plain,(
% 43.30/5.78 $false|spl0_11),
% 43.30/5.78 inference(forward_subsumption_resolution,[status(thm)],[f587,f419])).
% 43.30/5.78 fof(f591,plain,(
% 43.30/5.78 spl0_11),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f590])).
% 43.30/5.78 fof(f595,plain,(
% 43.30/5.78 spl0_12 <=> nil=nil),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f612,plain,(
% 43.30/5.78 spl0_14 <=> sk0_48=sk0_48),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f615,plain,(
% 43.30/5.78 ~ssList(sk0_48)|sk0_48=sk0_48),
% 43.30/5.78 inference(resolution,[status(thm)],[f485,f495])).
% 43.30/5.78 fof(f616,plain,(
% 43.30/5.78 ~spl0_11|spl0_14),
% 43.30/5.78 inference(split_clause,[status(thm)],[f615,f585,f612])).
% 43.30/5.78 fof(f621,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|nil=X0|app(tl(X0),nil)=tl(X0))),
% 43.30/5.78 inference(resolution,[status(thm)],[f241,f389])).
% 43.30/5.78 fof(f622,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|nil=X0|app(nil,tl(X0))=tl(X0))),
% 43.30/5.78 inference(resolution,[status(thm)],[f241,f249])).
% 43.30/5.78 fof(f624,plain,(
% 43.30/5.78 ~ssList(nil)|~ssItem(hd(sk0_48))|spl0_9),
% 43.30/5.78 inference(resolution,[status(thm)],[f222,f562])).
% 43.30/5.78 fof(f625,plain,(
% 43.30/5.78 ~spl0_5|~spl0_10|spl0_9),
% 43.30/5.78 inference(split_clause,[status(thm)],[f624,f522,f563,f560])).
% 43.30/5.78 fof(f633,plain,(
% 43.30/5.78 ~ssList(sk0_48)|nil=sk0_48|spl0_8),
% 43.30/5.78 inference(resolution,[status(thm)],[f559,f241])).
% 43.30/5.78 fof(f634,plain,(
% 43.30/5.78 ~spl0_11|spl0_6|spl0_8),
% 43.30/5.78 inference(split_clause,[status(thm)],[f633,f585,f525,f557])).
% 43.30/5.78 fof(f635,plain,(
% 43.30/5.78 spl0_15 <=> sk0_47=app(tl(sk0_48),cons(hd(sk0_48),nil))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f636,plain,(
% 43.30/5.78 sk0_47=app(tl(sk0_48),cons(hd(sk0_48),nil))|~spl0_15),
% 43.30/5.78 inference(component_clause,[status(thm)],[f635])).
% 43.30/5.78 fof(f638,plain,(
% 43.30/5.78 spl0_15|~spl0_8|~spl0_9|~spl0_10|~spl0_2),
% 43.30/5.78 inference(split_clause,[status(thm)],[f536,f635,f557,f560,f563,f435])).
% 43.30/5.78 fof(f639,plain,(
% 43.30/5.78 ~nil=sk0_47|spl0_0),
% 43.30/5.78 inference(forward_demodulation,[status(thm)],[f423,f430])).
% 43.30/5.78 fof(f645,plain,(
% 43.30/5.78 app(nil,cons(hd(sk0_48),nil))=cons(hd(sk0_48),nil)|~spl0_9),
% 43.30/5.78 inference(resolution,[status(thm)],[f561,f249])).
% 43.30/5.78 fof(f658,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|~ssList(X1)|app(app(X0,X1),nil)=app(X0,X1))),
% 43.30/5.78 inference(resolution,[status(thm)],[f245,f389])).
% 43.30/5.78 fof(f659,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|~ssList(X1)|app(nil,app(X0,X1))=app(X0,X1))),
% 43.30/5.78 inference(resolution,[status(thm)],[f245,f249])).
% 43.30/5.78 fof(f660,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(app(X0,X1),app(X0,X1)))),
% 43.30/5.78 inference(resolution,[status(thm)],[f245,f461])).
% 43.30/5.78 fof(f661,plain,(
% 43.30/5.78 spl0_16 <=> ssList(sk0_47)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f663,plain,(
% 43.30/5.78 ~ssList(sk0_47)|spl0_16),
% 43.30/5.78 inference(component_clause,[status(thm)],[f661])).
% 43.30/5.78 fof(f673,plain,(
% 43.30/5.78 ![X0]: (~ssItem(X0)|hd(cons(X0,sk0_47))=X0)),
% 43.30/5.78 inference(resolution,[status(thm)],[f239,f418])).
% 43.30/5.78 fof(f677,plain,(
% 43.30/5.78 ![X0]: (~ssItem(X0)|hd(cons(X0,sk0_48))=X0)),
% 43.30/5.78 inference(resolution,[status(thm)],[f239,f419])).
% 43.30/5.78 fof(f683,plain,(
% 43.30/5.78 ![X0]: (hd(cons(hd(X0),sk0_47))=hd(X0)|~ssList(X0)|nil=X0)),
% 43.30/5.78 inference(resolution,[status(thm)],[f673,f237])).
% 43.30/5.78 fof(f684,plain,(
% 43.30/5.78 spl0_17 <=> ssList(cons(sk0_1,sk0_47))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f686,plain,(
% 43.30/5.78 ~ssList(cons(sk0_1,sk0_47))|spl0_17),
% 43.30/5.78 inference(component_clause,[status(thm)],[f684])).
% 43.30/5.78 fof(f690,plain,(
% 43.30/5.78 spl0_19 <=> ssItem(sk0_1)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f692,plain,(
% 43.30/5.78 ~ssItem(sk0_1)|spl0_19),
% 43.30/5.78 inference(component_clause,[status(thm)],[f690])).
% 43.30/5.78 fof(f695,plain,(
% 43.30/5.78 spl0_20 <=> ssList(cons(sk0_0,sk0_47))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f696,plain,(
% 43.30/5.78 ssList(cons(sk0_0,sk0_47))|~spl0_20),
% 43.30/5.78 inference(component_clause,[status(thm)],[f695])).
% 43.30/5.78 fof(f701,plain,(
% 43.30/5.78 spl0_22 <=> ssItem(sk0_0)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f703,plain,(
% 43.30/5.78 ~ssItem(sk0_0)|spl0_22),
% 43.30/5.78 inference(component_clause,[status(thm)],[f701])).
% 43.30/5.78 fof(f709,plain,(
% 43.30/5.78 ![X0]: (hd(cons(hd(X0),sk0_48))=hd(X0)|~ssList(X0)|nil=X0)),
% 43.30/5.78 inference(resolution,[status(thm)],[f677,f237])).
% 43.30/5.78 fof(f710,plain,(
% 43.30/5.78 spl0_23 <=> ssList(cons(sk0_1,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f711,plain,(
% 43.30/5.78 ssList(cons(sk0_1,sk0_48))|~spl0_23),
% 43.30/5.78 inference(component_clause,[status(thm)],[f710])).
% 43.30/5.78 fof(f718,plain,(
% 43.30/5.78 spl0_25 <=> ssList(cons(sk0_0,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f719,plain,(
% 43.30/5.78 ssList(cons(sk0_0,sk0_48))|~spl0_25),
% 43.30/5.78 inference(component_clause,[status(thm)],[f718])).
% 43.30/5.78 fof(f729,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|neq(X0,nil)|X0=nil)),
% 43.30/5.78 inference(resolution,[status(thm)],[f223,f220])).
% 43.30/5.78 fof(f731,plain,(
% 43.30/5.78 app(nil,nil)=nil),
% 43.30/5.78 inference(resolution,[status(thm)],[f223,f389])).
% 43.30/5.78 fof(f733,plain,(
% 43.30/5.78 ~neq(nil,nil)),
% 43.30/5.78 inference(resolution,[status(thm)],[f223,f461])).
% 43.30/5.78 fof(f734,plain,(
% 43.30/5.78 spl0_27 <=> ~ssList(X0)|~ssList(X0)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f735,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_27)),
% 43.30/5.78 inference(component_clause,[status(thm)],[f734])).
% 43.30/5.78 fof(f737,plain,(
% 43.30/5.78 spl0_28 <=> ~ssItem(X1)|~ssItem(X1)|X1=X1),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f740,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X1=X1)),
% 43.30/5.78 inference(equality_resolution,[status(esa)],[f227])).
% 43.30/5.78 fof(f741,plain,(
% 43.30/5.78 spl0_27|spl0_28),
% 43.30/5.78 inference(split_clause,[status(thm)],[f740,f734,f737])).
% 43.30/5.78 fof(f742,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~spl0_27)),
% 43.30/5.78 inference(duplicate_literals_removal,[status(esa)],[f735])).
% 43.30/5.78 fof(f743,plain,(
% 43.30/5.78 $false|~spl0_27),
% 43.30/5.78 inference(backward_subsumption_resolution,[status(thm)],[f223,f742])).
% 43.30/5.78 fof(f744,plain,(
% 43.30/5.78 ~spl0_27),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f743])).
% 43.30/5.78 fof(f745,plain,(
% 43.30/5.78 geq(sk0_1,sk0_1)),
% 43.30/5.78 inference(resolution,[status(thm)],[f399,f104])).
% 43.30/5.78 fof(f746,plain,(
% 43.30/5.78 geq(sk0_0,sk0_0)),
% 43.30/5.78 inference(resolution,[status(thm)],[f399,f103])).
% 43.30/5.78 fof(f762,plain,(
% 43.30/5.78 spl0_29 <=> ~ssItem(X0)|~leq(X0,sk0_1)|leq(X0,sk0_1)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f765,plain,(
% 43.30/5.78 spl0_30 <=> leq(sk0_1,sk0_1)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f767,plain,(
% 43.30/5.78 ~leq(sk0_1,sk0_1)|spl0_30),
% 43.30/5.78 inference(component_clause,[status(thm)],[f765])).
% 43.30/5.78 fof(f768,plain,(
% 43.30/5.78 ![X0]: (~ssItem(X0)|~leq(X0,sk0_1)|~leq(sk0_1,sk0_1)|leq(X0,sk0_1))),
% 43.30/5.78 inference(resolution,[status(thm)],[f253,f104])).
% 43.30/5.78 fof(f769,plain,(
% 43.30/5.78 spl0_29|~spl0_30),
% 43.30/5.78 inference(split_clause,[status(thm)],[f768,f762,f765])).
% 43.30/5.78 fof(f771,plain,(
% 43.30/5.78 spl0_31 <=> ~ssItem(X0)|~leq(X0,sk0_0)|leq(X0,sk0_0)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f774,plain,(
% 43.30/5.78 spl0_32 <=> leq(sk0_0,sk0_0)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f776,plain,(
% 43.30/5.78 ~leq(sk0_0,sk0_0)|spl0_32),
% 43.30/5.78 inference(component_clause,[status(thm)],[f774])).
% 43.30/5.78 fof(f777,plain,(
% 43.30/5.78 ![X0]: (~ssItem(X0)|~leq(X0,sk0_0)|~leq(sk0_0,sk0_0)|leq(X0,sk0_0))),
% 43.30/5.78 inference(resolution,[status(thm)],[f253,f103])).
% 43.30/5.78 fof(f778,plain,(
% 43.30/5.78 spl0_31|~spl0_32),
% 43.30/5.78 inference(split_clause,[status(thm)],[f777,f771,f774])).
% 43.30/5.78 fof(f794,plain,(
% 43.30/5.78 $false|spl0_32),
% 43.30/5.78 inference(forward_subsumption_resolution,[status(thm)],[f776,f502])).
% 43.30/5.78 fof(f795,plain,(
% 43.30/5.78 spl0_32),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f794])).
% 43.30/5.78 fof(f796,plain,(
% 43.30/5.78 $false|spl0_30),
% 43.30/5.78 inference(forward_subsumption_resolution,[status(thm)],[f767,f501])).
% 43.30/5.78 fof(f797,plain,(
% 43.30/5.78 spl0_30),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f796])).
% 43.30/5.78 fof(f830,plain,(
% 43.30/5.78 spl0_37 <=> ~ssList(X0)|~app(cons(hd(sk0_48),nil),X0)=sk0_48|~app(app(X0,cons(hd(sk0_48),nil)),nil)=sk0_47),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f831,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~app(cons(hd(sk0_48),nil),X0)=sk0_48|~app(app(X0,cons(hd(sk0_48),nil)),nil)=sk0_47|~spl0_37)),
% 43.30/5.78 inference(component_clause,[status(thm)],[f830])).
% 43.30/5.78 fof(f833,plain,(
% 43.30/5.78 ![X0]: (~ssItem(hd(sk0_48))|~ssList(nil)|~ssList(X0)|~app(cons(hd(sk0_48),nil),X0)=sk0_48|~app(app(X0,cons(hd(sk0_48),nil)),nil)=sk0_47|~spl0_9)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f645,f425])).
% 43.30/5.78 fof(f834,plain,(
% 43.30/5.78 ~spl0_10|~spl0_5|spl0_37|~spl0_9),
% 43.30/5.78 inference(split_clause,[status(thm)],[f833,f563,f522,f830,f560])).
% 43.30/5.78 fof(f852,plain,(
% 43.30/5.78 spl0_42 <=> app(cons(hd(sk0_48),nil),tl(sk0_48))=sk0_48),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f854,plain,(
% 43.30/5.78 ~app(cons(hd(sk0_48),nil),tl(sk0_48))=sk0_48|spl0_42),
% 43.30/5.78 inference(component_clause,[status(thm)],[f852])).
% 43.30/5.78 fof(f855,plain,(
% 43.30/5.78 spl0_43 <=> app(sk0_47,nil)=sk0_47),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f857,plain,(
% 43.30/5.78 ~app(sk0_47,nil)=sk0_47|spl0_43),
% 43.30/5.78 inference(component_clause,[status(thm)],[f855])).
% 43.30/5.78 fof(f858,plain,(
% 43.30/5.78 ~ssList(tl(sk0_48))|~app(cons(hd(sk0_48),nil),tl(sk0_48))=sk0_48|~app(sk0_47,nil)=sk0_47|~spl0_37|~spl0_15),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f636,f831])).
% 43.30/5.78 fof(f859,plain,(
% 43.30/5.78 ~spl0_8|~spl0_42|~spl0_43|~spl0_37|~spl0_15),
% 43.30/5.78 inference(split_clause,[status(thm)],[f858,f557,f852,f855,f830,f635])).
% 43.30/5.78 fof(f870,plain,(
% 43.30/5.78 ~sk0_47=sk0_47|spl0_43),
% 43.30/5.78 inference(forward_demodulation,[status(thm)],[f490,f857])).
% 43.30/5.78 fof(f871,plain,(
% 43.30/5.78 $false|spl0_43),
% 43.30/5.78 inference(trivial_equality_resolution,[status(esa)],[f870])).
% 43.30/5.78 fof(f872,plain,(
% 43.30/5.78 spl0_43),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f871])).
% 43.30/5.78 fof(f875,plain,(
% 43.30/5.78 spl0_46 <=> sk0_47=sk0_47),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f878,plain,(
% 43.30/5.78 ~ssList(sk0_47)|sk0_47=sk0_47),
% 43.30/5.78 inference(resolution,[status(thm)],[f486,f496])).
% 43.30/5.78 fof(f879,plain,(
% 43.30/5.78 ~spl0_16|spl0_46),
% 43.30/5.78 inference(split_clause,[status(thm)],[f878,f661,f875])).
% 43.30/5.78 fof(f880,plain,(
% 43.30/5.78 $false|spl0_16),
% 43.30/5.78 inference(forward_subsumption_resolution,[status(thm)],[f663,f418])).
% 43.30/5.78 fof(f881,plain,(
% 43.30/5.78 spl0_16),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f880])).
% 43.30/5.78 fof(f903,plain,(
% 43.30/5.78 spl0_52 <=> hd(cons(hd(sk0_47),sk0_48))=hd(sk0_47)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f906,plain,(
% 43.30/5.78 spl0_53 <=> nil=sk0_47),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f907,plain,(
% 43.30/5.78 nil=sk0_47|~spl0_53),
% 43.30/5.78 inference(component_clause,[status(thm)],[f906])).
% 43.30/5.78 fof(f909,plain,(
% 43.30/5.78 hd(cons(hd(sk0_47),sk0_48))=hd(sk0_47)|nil=sk0_47),
% 43.30/5.78 inference(resolution,[status(thm)],[f709,f418])).
% 43.30/5.78 fof(f910,plain,(
% 43.30/5.78 spl0_52|spl0_53),
% 43.30/5.78 inference(split_clause,[status(thm)],[f909,f903,f906])).
% 43.30/5.78 fof(f926,plain,(
% 43.30/5.78 spl0_57 <=> hd(cons(hd(sk0_47),sk0_47))=hd(sk0_47)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f929,plain,(
% 43.30/5.78 hd(cons(hd(sk0_47),sk0_47))=hd(sk0_47)|nil=sk0_47),
% 43.30/5.78 inference(resolution,[status(thm)],[f683,f418])).
% 43.30/5.78 fof(f930,plain,(
% 43.30/5.78 spl0_57|spl0_53),
% 43.30/5.78 inference(split_clause,[status(thm)],[f929,f926,f906])).
% 43.30/5.78 fof(f931,plain,(
% 43.30/5.78 $false|spl0_0|~spl0_53),
% 43.30/5.78 inference(forward_subsumption_resolution,[status(thm)],[f907,f639])).
% 43.30/5.78 fof(f932,plain,(
% 43.30/5.78 spl0_0|~spl0_53),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f931])).
% 43.30/5.78 fof(f1020,plain,(
% 43.30/5.78 ~ssList(nil)|nil=nil),
% 43.30/5.78 inference(resolution,[status(thm)],[f729,f733])).
% 43.30/5.78 fof(f1021,plain,(
% 43.30/5.78 ~spl0_5|spl0_12),
% 43.30/5.78 inference(split_clause,[status(thm)],[f1020,f522,f595])).
% 43.30/5.78 fof(f1049,plain,(
% 43.30/5.78 $false|spl0_19),
% 43.30/5.78 inference(forward_subsumption_resolution,[status(thm)],[f692,f104])).
% 43.30/5.78 fof(f1050,plain,(
% 43.30/5.78 spl0_19),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f1049])).
% 43.30/5.78 fof(f1051,plain,(
% 43.30/5.78 $false|spl0_22),
% 43.30/5.78 inference(forward_subsumption_resolution,[status(thm)],[f703,f103])).
% 43.30/5.78 fof(f1052,plain,(
% 43.30/5.78 spl0_22),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f1051])).
% 43.30/5.78 fof(f1091,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|frontsegP(app(X0,tl(X1)),X0)|~ssList(X1)|nil=X1)),
% 43.30/5.78 inference(resolution,[status(thm)],[f480,f241])).
% 43.30/5.78 fof(f1099,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|rearsegP(app(tl(X1),X0),X0)|~ssList(X1)|nil=X1)),
% 43.30/5.78 inference(resolution,[status(thm)],[f479,f241])).
% 43.30/5.78 fof(f1299,plain,(
% 43.30/5.78 app(nil,cons(sk0_1,sk0_48))=cons(sk0_1,sk0_48)|~spl0_23),
% 43.30/5.78 inference(resolution,[status(thm)],[f711,f249])).
% 43.30/5.78 fof(f1300,plain,(
% 43.30/5.78 app(cons(sk0_1,sk0_48),nil)=cons(sk0_1,sk0_48)|~spl0_23),
% 43.30/5.78 inference(resolution,[status(thm)],[f711,f389])).
% 43.30/5.78 fof(f1355,plain,(
% 43.30/5.78 app(nil,cons(sk0_0,sk0_48))=cons(sk0_0,sk0_48)|~spl0_25),
% 43.30/5.78 inference(resolution,[status(thm)],[f719,f249])).
% 43.30/5.78 fof(f1356,plain,(
% 43.30/5.78 app(cons(sk0_0,sk0_48),nil)=cons(sk0_0,sk0_48)|~spl0_25),
% 43.30/5.78 inference(resolution,[status(thm)],[f719,f389])).
% 43.30/5.78 fof(f1922,plain,(
% 43.30/5.78 spl0_111 <=> cons(hd(sk0_48),tl(sk0_48))=sk0_48),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f1923,plain,(
% 43.30/5.78 cons(hd(sk0_48),tl(sk0_48))=sk0_48|~spl0_111),
% 43.30/5.78 inference(component_clause,[status(thm)],[f1922])).
% 43.30/5.78 fof(f1925,plain,(
% 43.30/5.78 nil=sk0_48|cons(hd(sk0_48),tl(sk0_48))=sk0_48),
% 43.30/5.78 inference(resolution,[status(thm)],[f374,f419])).
% 43.30/5.78 fof(f1926,plain,(
% 43.30/5.78 spl0_6|spl0_111),
% 43.30/5.78 inference(split_clause,[status(thm)],[f1925,f525,f1922])).
% 43.30/5.78 fof(f2021,plain,(
% 43.30/5.78 ~ssList(sk0_47)|~ssItem(sk0_1)|spl0_17),
% 43.30/5.78 inference(resolution,[status(thm)],[f686,f222])).
% 43.30/5.78 fof(f2022,plain,(
% 43.30/5.78 ~spl0_16|~spl0_19|spl0_17),
% 43.30/5.78 inference(split_clause,[status(thm)],[f2021,f661,f690,f684])).
% 43.30/5.78 fof(f2673,plain,(
% 43.30/5.78 app(nil,cons(sk0_0,sk0_47))=cons(sk0_0,sk0_47)|~spl0_20),
% 43.30/5.78 inference(resolution,[status(thm)],[f696,f249])).
% 43.30/5.78 fof(f2674,plain,(
% 43.30/5.78 app(cons(sk0_0,sk0_47),nil)=cons(sk0_0,sk0_47)|~spl0_20),
% 43.30/5.78 inference(resolution,[status(thm)],[f696,f389])).
% 43.30/5.78 fof(f3106,plain,(
% 43.30/5.78 spl0_147 <=> neq(sk0_48,app(sk0_48,nil))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3109,plain,(
% 43.30/5.78 ~ssList(sk0_48)|~ssList(nil)|~neq(sk0_48,app(sk0_48,nil))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f489,f660])).
% 43.30/5.78 fof(f3110,plain,(
% 43.30/5.78 ~spl0_11|~spl0_5|~spl0_147),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3109,f585,f522,f3106])).
% 43.30/5.78 fof(f3111,plain,(
% 43.30/5.78 spl0_148 <=> neq(sk0_47,app(sk0_47,nil))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3114,plain,(
% 43.30/5.78 ~ssList(sk0_47)|~ssList(nil)|~neq(sk0_47,app(sk0_47,nil))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f490,f660])).
% 43.30/5.78 fof(f3115,plain,(
% 43.30/5.78 ~spl0_16|~spl0_5|~spl0_148),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3114,f661,f522,f3111])).
% 43.30/5.78 fof(f3116,plain,(
% 43.30/5.78 spl0_149 <=> neq(sk0_48,app(nil,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3119,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(sk0_48)|~neq(sk0_48,app(nil,sk0_48))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f487,f660])).
% 43.30/5.78 fof(f3120,plain,(
% 43.30/5.78 ~spl0_5|~spl0_11|~spl0_149),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3119,f522,f585,f3116])).
% 43.30/5.78 fof(f3121,plain,(
% 43.30/5.78 spl0_150 <=> neq(sk0_47,app(nil,sk0_47))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3124,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(sk0_47)|~neq(sk0_47,app(nil,sk0_47))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f488,f660])).
% 43.30/5.78 fof(f3125,plain,(
% 43.30/5.78 ~spl0_5|~spl0_16|~spl0_150),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3124,f522,f661,f3121])).
% 43.30/5.78 fof(f3126,plain,(
% 43.30/5.78 spl0_151 <=> neq(nil,app(nil,nil))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3129,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(nil)|~neq(nil,app(nil,nil))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f731,f660])).
% 43.30/5.78 fof(f3130,plain,(
% 43.30/5.78 ~spl0_5|~spl0_151),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3129,f522,f3126])).
% 43.30/5.78 fof(f3131,plain,(
% 43.30/5.78 spl0_152 <=> neq(app(sk0_48,nil),sk0_48)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3134,plain,(
% 43.30/5.78 ~ssList(sk0_48)|~ssList(nil)|~neq(app(sk0_48,nil),sk0_48)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f489,f660])).
% 43.30/5.78 fof(f3135,plain,(
% 43.30/5.78 ~spl0_11|~spl0_5|~spl0_152),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3134,f585,f522,f3131])).
% 43.30/5.78 fof(f3136,plain,(
% 43.30/5.78 spl0_153 <=> neq(app(sk0_47,nil),sk0_47)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3139,plain,(
% 43.30/5.78 ~ssList(sk0_47)|~ssList(nil)|~neq(app(sk0_47,nil),sk0_47)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f490,f660])).
% 43.30/5.78 fof(f3140,plain,(
% 43.30/5.78 ~spl0_16|~spl0_5|~spl0_153),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3139,f661,f522,f3136])).
% 43.30/5.78 fof(f3141,plain,(
% 43.30/5.78 spl0_154 <=> neq(app(nil,sk0_48),sk0_48)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3144,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(sk0_48)|~neq(app(nil,sk0_48),sk0_48)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f487,f660])).
% 43.30/5.78 fof(f3145,plain,(
% 43.30/5.78 ~spl0_5|~spl0_11|~spl0_154),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3144,f522,f585,f3141])).
% 43.30/5.78 fof(f3146,plain,(
% 43.30/5.78 spl0_155 <=> neq(app(nil,sk0_47),sk0_47)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3149,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(sk0_47)|~neq(app(nil,sk0_47),sk0_47)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f488,f660])).
% 43.30/5.78 fof(f3150,plain,(
% 43.30/5.78 ~spl0_5|~spl0_16|~spl0_155),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3149,f522,f661,f3146])).
% 43.30/5.78 fof(f3151,plain,(
% 43.30/5.78 spl0_156 <=> neq(app(nil,nil),nil)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3154,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(nil)|~neq(app(nil,nil),nil)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f731,f660])).
% 43.30/5.78 fof(f3155,plain,(
% 43.30/5.78 ~spl0_5|~spl0_156),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3154,f522,f3151])).
% 43.30/5.78 fof(f3329,plain,(
% 43.30/5.78 ![X0]: (~ssItem(X0)|~geq(X0,sk0_1)|~geq(sk0_1,X0)|X0=sk0_1)),
% 43.30/5.78 inference(resolution,[status(thm)],[f395,f104])).
% 43.30/5.78 fof(f3330,plain,(
% 43.30/5.78 ![X0]: (~ssItem(X0)|~geq(X0,sk0_0)|~geq(sk0_0,X0)|X0=sk0_0)),
% 43.30/5.78 inference(resolution,[status(thm)],[f395,f103])).
% 43.30/5.78 fof(f3555,plain,(
% 43.30/5.78 spl0_175 <=> neq(app(nil,cons(sk0_0,sk0_48)),cons(sk0_0,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3558,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(cons(sk0_0,sk0_48))|~neq(app(nil,cons(sk0_0,sk0_48)),cons(sk0_0,sk0_48))|~spl0_25),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f1355,f660])).
% 43.30/5.78 fof(f3559,plain,(
% 43.30/5.78 ~spl0_5|~spl0_25|~spl0_175),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3558,f522,f718,f3555])).
% 43.30/5.78 fof(f3560,plain,(
% 43.30/5.78 spl0_176 <=> neq(cons(sk0_0,sk0_48),app(nil,cons(sk0_0,sk0_48)))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3563,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(cons(sk0_0,sk0_48))|~neq(cons(sk0_0,sk0_48),app(nil,cons(sk0_0,sk0_48)))|~spl0_25),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f1355,f660])).
% 43.30/5.78 fof(f3564,plain,(
% 43.30/5.78 ~spl0_5|~spl0_25|~spl0_176),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3563,f522,f718,f3560])).
% 43.30/5.78 fof(f3573,plain,(
% 43.30/5.78 spl0_177 <=> neq(app(cons(sk0_0,sk0_48),nil),cons(sk0_0,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3576,plain,(
% 43.30/5.78 ~ssList(cons(sk0_0,sk0_48))|~ssList(nil)|~neq(app(cons(sk0_0,sk0_48),nil),cons(sk0_0,sk0_48))|~spl0_25),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f1356,f660])).
% 43.30/5.78 fof(f3577,plain,(
% 43.30/5.78 ~spl0_25|~spl0_5|~spl0_177),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3576,f718,f522,f3573])).
% 43.30/5.78 fof(f3578,plain,(
% 43.30/5.78 spl0_178 <=> neq(cons(sk0_0,sk0_48),app(cons(sk0_0,sk0_48),nil))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3581,plain,(
% 43.30/5.78 ~ssList(cons(sk0_0,sk0_48))|~ssList(nil)|~neq(cons(sk0_0,sk0_48),app(cons(sk0_0,sk0_48),nil))|~spl0_25),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f1356,f660])).
% 43.30/5.78 fof(f3582,plain,(
% 43.30/5.78 ~spl0_25|~spl0_5|~spl0_178),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3581,f718,f522,f3578])).
% 43.30/5.78 fof(f3591,plain,(
% 43.30/5.78 spl0_179 <=> neq(app(cons(sk0_1,sk0_48),nil),cons(sk0_1,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3594,plain,(
% 43.30/5.78 ~ssList(cons(sk0_1,sk0_48))|~ssList(nil)|~neq(app(cons(sk0_1,sk0_48),nil),cons(sk0_1,sk0_48))|~spl0_23),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f1300,f660])).
% 43.30/5.78 fof(f3595,plain,(
% 43.30/5.78 ~spl0_23|~spl0_5|~spl0_179),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3594,f710,f522,f3591])).
% 43.30/5.78 fof(f3596,plain,(
% 43.30/5.78 spl0_180 <=> neq(cons(sk0_1,sk0_48),app(cons(sk0_1,sk0_48),nil))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3599,plain,(
% 43.30/5.78 ~ssList(cons(sk0_1,sk0_48))|~ssList(nil)|~neq(cons(sk0_1,sk0_48),app(cons(sk0_1,sk0_48),nil))|~spl0_23),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f1300,f660])).
% 43.30/5.78 fof(f3600,plain,(
% 43.30/5.78 ~spl0_23|~spl0_5|~spl0_180),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3599,f710,f522,f3596])).
% 43.30/5.78 fof(f3609,plain,(
% 43.30/5.78 spl0_181 <=> neq(app(nil,cons(sk0_1,sk0_48)),cons(sk0_1,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3612,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(cons(sk0_1,sk0_48))|~neq(app(nil,cons(sk0_1,sk0_48)),cons(sk0_1,sk0_48))|~spl0_23),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f1299,f660])).
% 43.30/5.78 fof(f3613,plain,(
% 43.30/5.78 ~spl0_5|~spl0_23|~spl0_181),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3612,f522,f710,f3609])).
% 43.30/5.78 fof(f3614,plain,(
% 43.30/5.78 spl0_182 <=> neq(cons(sk0_1,sk0_48),app(nil,cons(sk0_1,sk0_48)))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3617,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(cons(sk0_1,sk0_48))|~neq(cons(sk0_1,sk0_48),app(nil,cons(sk0_1,sk0_48)))|~spl0_23),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f1299,f660])).
% 43.30/5.78 fof(f3618,plain,(
% 43.30/5.78 ~spl0_5|~spl0_23|~spl0_182),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3617,f522,f710,f3614])).
% 43.30/5.78 fof(f3627,plain,(
% 43.30/5.78 spl0_183 <=> neq(app(cons(sk0_0,sk0_47),nil),cons(sk0_0,sk0_47))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3630,plain,(
% 43.30/5.78 ~ssList(cons(sk0_0,sk0_47))|~ssList(nil)|~neq(app(cons(sk0_0,sk0_47),nil),cons(sk0_0,sk0_47))|~spl0_20),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f2674,f660])).
% 43.30/5.78 fof(f3631,plain,(
% 43.30/5.78 ~spl0_20|~spl0_5|~spl0_183),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3630,f695,f522,f3627])).
% 43.30/5.78 fof(f3632,plain,(
% 43.30/5.78 spl0_184 <=> neq(cons(sk0_0,sk0_47),app(cons(sk0_0,sk0_47),nil))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3635,plain,(
% 43.30/5.78 ~ssList(cons(sk0_0,sk0_47))|~ssList(nil)|~neq(cons(sk0_0,sk0_47),app(cons(sk0_0,sk0_47),nil))|~spl0_20),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f2674,f660])).
% 43.30/5.78 fof(f3636,plain,(
% 43.30/5.78 ~spl0_20|~spl0_5|~spl0_184),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3635,f695,f522,f3632])).
% 43.30/5.78 fof(f3645,plain,(
% 43.30/5.78 spl0_185 <=> neq(app(nil,cons(sk0_0,sk0_47)),cons(sk0_0,sk0_47))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3648,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(cons(sk0_0,sk0_47))|~neq(app(nil,cons(sk0_0,sk0_47)),cons(sk0_0,sk0_47))|~spl0_20),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f2673,f660])).
% 43.30/5.78 fof(f3649,plain,(
% 43.30/5.78 ~spl0_5|~spl0_20|~spl0_185),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3648,f522,f695,f3645])).
% 43.30/5.78 fof(f3650,plain,(
% 43.30/5.78 spl0_186 <=> neq(cons(sk0_0,sk0_47),app(nil,cons(sk0_0,sk0_47)))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3653,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(cons(sk0_0,sk0_47))|~neq(cons(sk0_0,sk0_47),app(nil,cons(sk0_0,sk0_47)))|~spl0_20),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f2673,f660])).
% 43.30/5.78 fof(f3654,plain,(
% 43.30/5.78 ~spl0_5|~spl0_20|~spl0_186),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3653,f522,f695,f3650])).
% 43.30/5.78 fof(f3783,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|app(nil,app(X0,sk0_47))=app(X0,sk0_47))),
% 43.30/5.78 inference(resolution,[status(thm)],[f659,f418])).
% 43.30/5.78 fof(f3784,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|app(nil,app(X0,sk0_48))=app(X0,sk0_48))),
% 43.30/5.78 inference(resolution,[status(thm)],[f659,f419])).
% 43.30/5.78 fof(f3792,plain,(
% 43.30/5.78 app(nil,app(sk0_47,sk0_47))=app(sk0_47,sk0_47)),
% 43.30/5.78 inference(resolution,[status(thm)],[f3783,f418])).
% 43.30/5.78 fof(f3793,plain,(
% 43.30/5.78 app(nil,app(sk0_48,sk0_47))=app(sk0_48,sk0_47)),
% 43.30/5.78 inference(resolution,[status(thm)],[f3783,f419])).
% 43.30/5.78 fof(f3803,plain,(
% 43.30/5.78 spl0_199 <=> ssList(app(sk0_47,sk0_47))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3804,plain,(
% 43.30/5.78 ssList(app(sk0_47,sk0_47))|~spl0_199),
% 43.30/5.78 inference(component_clause,[status(thm)],[f3803])).
% 43.30/5.78 fof(f3805,plain,(
% 43.30/5.78 ~ssList(app(sk0_47,sk0_47))|spl0_199),
% 43.30/5.78 inference(component_clause,[status(thm)],[f3803])).
% 43.30/5.78 fof(f3806,plain,(
% 43.30/5.78 spl0_200 <=> neq(app(nil,app(sk0_47,sk0_47)),app(sk0_47,sk0_47))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3809,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(app(sk0_47,sk0_47))|~neq(app(nil,app(sk0_47,sk0_47)),app(sk0_47,sk0_47))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f3792,f660])).
% 43.30/5.78 fof(f3810,plain,(
% 43.30/5.78 ~spl0_5|~spl0_199|~spl0_200),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3809,f522,f3803,f3806])).
% 43.30/5.78 fof(f3811,plain,(
% 43.30/5.78 spl0_201 <=> neq(app(sk0_47,sk0_47),app(nil,app(sk0_47,sk0_47)))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3814,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(app(sk0_47,sk0_47))|~neq(app(sk0_47,sk0_47),app(nil,app(sk0_47,sk0_47)))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f3792,f660])).
% 43.30/5.78 fof(f3815,plain,(
% 43.30/5.78 ~spl0_5|~spl0_199|~spl0_201),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3814,f522,f3803,f3811])).
% 43.30/5.78 fof(f3816,plain,(
% 43.30/5.78 spl0_202 <=> nil=app(sk0_47,sk0_47)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3817,plain,(
% 43.30/5.78 nil=app(sk0_47,sk0_47)|~spl0_202),
% 43.30/5.78 inference(component_clause,[status(thm)],[f3816])).
% 43.30/5.78 fof(f3826,plain,(
% 43.30/5.78 spl0_203 <=> ssList(app(sk0_48,sk0_47))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3828,plain,(
% 43.30/5.78 ~ssList(app(sk0_48,sk0_47))|spl0_203),
% 43.30/5.78 inference(component_clause,[status(thm)],[f3826])).
% 43.30/5.78 fof(f3829,plain,(
% 43.30/5.78 spl0_204 <=> neq(app(nil,app(sk0_48,sk0_47)),app(sk0_48,sk0_47))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3832,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(app(sk0_48,sk0_47))|~neq(app(nil,app(sk0_48,sk0_47)),app(sk0_48,sk0_47))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f3793,f660])).
% 43.30/5.78 fof(f3833,plain,(
% 43.30/5.78 ~spl0_5|~spl0_203|~spl0_204),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3832,f522,f3826,f3829])).
% 43.30/5.78 fof(f3834,plain,(
% 43.30/5.78 spl0_205 <=> neq(app(sk0_48,sk0_47),app(nil,app(sk0_48,sk0_47)))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3837,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(app(sk0_48,sk0_47))|~neq(app(sk0_48,sk0_47),app(nil,app(sk0_48,sk0_47)))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f3793,f660])).
% 43.30/5.78 fof(f3838,plain,(
% 43.30/5.78 ~spl0_5|~spl0_203|~spl0_205),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3837,f522,f3826,f3834])).
% 43.30/5.78 fof(f3849,plain,(
% 43.30/5.78 app(nil,app(sk0_47,sk0_48))=app(sk0_47,sk0_48)),
% 43.30/5.78 inference(resolution,[status(thm)],[f3784,f418])).
% 43.30/5.78 fof(f3850,plain,(
% 43.30/5.78 app(nil,app(sk0_48,sk0_48))=app(sk0_48,sk0_48)),
% 43.30/5.78 inference(resolution,[status(thm)],[f3784,f419])).
% 43.30/5.78 fof(f3858,plain,(
% 43.30/5.78 spl0_207 <=> ssList(app(sk0_47,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3859,plain,(
% 43.30/5.78 ssList(app(sk0_47,sk0_48))|~spl0_207),
% 43.30/5.78 inference(component_clause,[status(thm)],[f3858])).
% 43.30/5.78 fof(f3860,plain,(
% 43.30/5.78 ~ssList(app(sk0_47,sk0_48))|spl0_207),
% 43.30/5.78 inference(component_clause,[status(thm)],[f3858])).
% 43.30/5.78 fof(f3861,plain,(
% 43.30/5.78 spl0_208 <=> neq(app(nil,app(sk0_47,sk0_48)),app(sk0_47,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3864,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(app(sk0_47,sk0_48))|~neq(app(nil,app(sk0_47,sk0_48)),app(sk0_47,sk0_48))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f3849,f660])).
% 43.30/5.78 fof(f3865,plain,(
% 43.30/5.78 ~spl0_5|~spl0_207|~spl0_208),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3864,f522,f3858,f3861])).
% 43.30/5.78 fof(f3866,plain,(
% 43.30/5.78 spl0_209 <=> neq(app(sk0_47,sk0_48),app(nil,app(sk0_47,sk0_48)))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3869,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(app(sk0_47,sk0_48))|~neq(app(sk0_47,sk0_48),app(nil,app(sk0_47,sk0_48)))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f3849,f660])).
% 43.30/5.78 fof(f3870,plain,(
% 43.30/5.78 ~spl0_5|~spl0_207|~spl0_209),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3869,f522,f3858,f3866])).
% 43.30/5.78 fof(f3908,plain,(
% 43.30/5.78 ![X0]: (~ssItem(X0)|cons(X0,sk0_47)=app(cons(X0,nil),sk0_47))),
% 43.30/5.78 inference(resolution,[status(thm)],[f380,f418])).
% 43.30/5.78 fof(f3909,plain,(
% 43.30/5.78 ![X0]: (~ssItem(X0)|cons(X0,sk0_48)=app(cons(X0,nil),sk0_48))),
% 43.30/5.78 inference(resolution,[status(thm)],[f380,f419])).
% 43.30/5.78 fof(f3915,plain,(
% 43.30/5.78 ![X0]: (~ssItem(X0)|cons(X0,tl(sk0_48))=app(cons(X0,nil),tl(sk0_48))|~spl0_8)),
% 43.30/5.78 inference(resolution,[status(thm)],[f380,f558])).
% 43.30/5.78 fof(f3920,plain,(
% 43.30/5.78 spl0_212 <=> sk0_0=sk0_1),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3921,plain,(
% 43.30/5.78 sk0_0=sk0_1|~spl0_212),
% 43.30/5.78 inference(component_clause,[status(thm)],[f3920])).
% 43.30/5.78 fof(f3928,plain,(
% 43.30/5.78 spl0_214 <=> sk0_1=sk0_1),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3944,plain,(
% 43.30/5.78 spl0_218 <=> sk0_0=sk0_0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3968,plain,(
% 43.30/5.78 spl0_224 <=> geq(sk0_1,sk0_1)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3970,plain,(
% 43.30/5.78 ~geq(sk0_1,sk0_1)|spl0_224),
% 43.30/5.78 inference(component_clause,[status(thm)],[f3968])).
% 43.30/5.78 fof(f3971,plain,(
% 43.30/5.78 ~ssItem(sk0_1)|~geq(sk0_1,sk0_1)|sk0_1=sk0_1),
% 43.30/5.78 inference(resolution,[status(thm)],[f3329,f745])).
% 43.30/5.78 fof(f3972,plain,(
% 43.30/5.78 ~spl0_19|~spl0_224|spl0_214),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3971,f690,f3968,f3928])).
% 43.30/5.78 fof(f3973,plain,(
% 43.30/5.78 $false|spl0_224),
% 43.30/5.78 inference(forward_subsumption_resolution,[status(thm)],[f3970,f745])).
% 43.30/5.78 fof(f3974,plain,(
% 43.30/5.78 spl0_224),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f3973])).
% 43.30/5.78 fof(f3975,plain,(
% 43.30/5.78 spl0_225 <=> geq(sk0_0,sk0_0)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3977,plain,(
% 43.30/5.78 ~geq(sk0_0,sk0_0)|spl0_225),
% 43.30/5.78 inference(component_clause,[status(thm)],[f3975])).
% 43.30/5.78 fof(f3978,plain,(
% 43.30/5.78 ~ssItem(sk0_0)|~geq(sk0_0,sk0_0)|sk0_0=sk0_0),
% 43.30/5.78 inference(resolution,[status(thm)],[f3330,f746])).
% 43.30/5.78 fof(f3979,plain,(
% 43.30/5.78 ~spl0_22|~spl0_225|spl0_218),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3978,f701,f3975,f3944])).
% 43.30/5.78 fof(f3980,plain,(
% 43.30/5.78 $false|spl0_225),
% 43.30/5.78 inference(forward_subsumption_resolution,[status(thm)],[f3977,f746])).
% 43.30/5.78 fof(f3981,plain,(
% 43.30/5.78 spl0_225),
% 43.30/5.78 inference(contradiction_clause,[status(thm)],[f3980])).
% 43.30/5.78 fof(f3982,plain,(
% 43.30/5.78 spl0_226 <=> ssList(app(sk0_48,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3984,plain,(
% 43.30/5.78 ~ssList(app(sk0_48,sk0_48))|spl0_226),
% 43.30/5.78 inference(component_clause,[status(thm)],[f3982])).
% 43.30/5.78 fof(f3985,plain,(
% 43.30/5.78 spl0_227 <=> neq(app(nil,app(sk0_48,sk0_48)),app(sk0_48,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3988,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(app(sk0_48,sk0_48))|~neq(app(nil,app(sk0_48,sk0_48)),app(sk0_48,sk0_48))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f3850,f660])).
% 43.30/5.78 fof(f3989,plain,(
% 43.30/5.78 ~spl0_5|~spl0_226|~spl0_227),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3988,f522,f3982,f3985])).
% 43.30/5.78 fof(f3990,plain,(
% 43.30/5.78 spl0_228 <=> neq(app(sk0_48,sk0_48),app(nil,app(sk0_48,sk0_48)))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f3993,plain,(
% 43.30/5.78 ~ssList(nil)|~ssList(app(sk0_48,sk0_48))|~neq(app(sk0_48,sk0_48),app(nil,app(sk0_48,sk0_48)))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f3850,f660])).
% 43.30/5.78 fof(f3994,plain,(
% 43.30/5.78 ~spl0_5|~spl0_226|~spl0_228),
% 43.30/5.78 inference(split_clause,[status(thm)],[f3993,f522,f3982,f3990])).
% 43.30/5.78 fof(f4007,plain,(
% 43.30/5.78 cons(sk0_0,sk0_47)=app(cons(sk0_0,nil),sk0_47)),
% 43.30/5.78 inference(resolution,[status(thm)],[f3908,f103])).
% 43.30/5.78 fof(f4076,plain,(
% 43.30/5.78 spl0_230 <=> ssList(cons(sk0_0,nil))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4078,plain,(
% 43.30/5.78 ~ssList(cons(sk0_0,nil))|spl0_230),
% 43.30/5.78 inference(component_clause,[status(thm)],[f4076])).
% 43.30/5.78 fof(f4079,plain,(
% 43.30/5.78 spl0_231 <=> neq(app(cons(sk0_0,nil),sk0_47),cons(sk0_0,sk0_47))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4082,plain,(
% 43.30/5.78 ~ssList(cons(sk0_0,nil))|~ssList(sk0_47)|~neq(app(cons(sk0_0,nil),sk0_47),cons(sk0_0,sk0_47))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4007,f660])).
% 43.30/5.78 fof(f4083,plain,(
% 43.30/5.78 ~spl0_230|~spl0_16|~spl0_231),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4082,f4076,f661,f4079])).
% 43.30/5.78 fof(f4084,plain,(
% 43.30/5.78 spl0_232 <=> neq(cons(sk0_0,sk0_47),app(cons(sk0_0,nil),sk0_47))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4087,plain,(
% 43.30/5.78 ~ssList(cons(sk0_0,nil))|~ssList(sk0_47)|~neq(cons(sk0_0,sk0_47),app(cons(sk0_0,nil),sk0_47))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4007,f660])).
% 43.30/5.78 fof(f4088,plain,(
% 43.30/5.78 ~spl0_230|~spl0_16|~spl0_232),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4087,f4076,f661,f4084])).
% 43.30/5.78 fof(f4096,plain,(
% 43.30/5.78 ~ssList(cons(sk0_0,nil))|~ssList(sk0_47)|ssList(cons(sk0_0,sk0_47))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4007,f245])).
% 43.30/5.78 fof(f4097,plain,(
% 43.30/5.78 ~spl0_230|~spl0_16|spl0_20),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4096,f4076,f661,f695])).
% 43.30/5.78 fof(f4098,plain,(
% 43.30/5.78 cons(sk0_1,sk0_48)=app(cons(sk0_1,nil),sk0_48)),
% 43.30/5.78 inference(resolution,[status(thm)],[f3909,f104])).
% 43.30/5.78 fof(f4099,plain,(
% 43.30/5.78 cons(sk0_0,sk0_48)=app(cons(sk0_0,nil),sk0_48)),
% 43.30/5.78 inference(resolution,[status(thm)],[f3909,f103])).
% 43.30/5.78 fof(f4106,plain,(
% 43.30/5.78 spl0_234 <=> ssList(cons(sk0_1,nil))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4108,plain,(
% 43.30/5.78 ~ssList(cons(sk0_1,nil))|spl0_234),
% 43.30/5.78 inference(component_clause,[status(thm)],[f4106])).
% 43.30/5.78 fof(f4109,plain,(
% 43.30/5.78 spl0_235 <=> neq(app(cons(sk0_1,nil),sk0_48),cons(sk0_1,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4112,plain,(
% 43.30/5.78 ~ssList(cons(sk0_1,nil))|~ssList(sk0_48)|~neq(app(cons(sk0_1,nil),sk0_48),cons(sk0_1,sk0_48))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4098,f660])).
% 43.30/5.78 fof(f4113,plain,(
% 43.30/5.78 ~spl0_234|~spl0_11|~spl0_235),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4112,f4106,f585,f4109])).
% 43.30/5.78 fof(f4114,plain,(
% 43.30/5.78 spl0_236 <=> neq(cons(sk0_1,sk0_48),app(cons(sk0_1,nil),sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4117,plain,(
% 43.30/5.78 ~ssList(cons(sk0_1,nil))|~ssList(sk0_48)|~neq(cons(sk0_1,sk0_48),app(cons(sk0_1,nil),sk0_48))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4098,f660])).
% 43.30/5.78 fof(f4118,plain,(
% 43.30/5.78 ~spl0_234|~spl0_11|~spl0_236),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4117,f4106,f585,f4114])).
% 43.30/5.78 fof(f4126,plain,(
% 43.30/5.78 ~ssList(cons(sk0_1,nil))|~ssList(sk0_48)|ssList(cons(sk0_1,sk0_48))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4098,f245])).
% 43.30/5.78 fof(f4127,plain,(
% 43.30/5.78 ~spl0_234|~spl0_11|spl0_23),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4126,f4106,f585,f710])).
% 43.30/5.78 fof(f4128,plain,(
% 43.30/5.78 spl0_238 <=> neq(app(cons(sk0_0,nil),sk0_48),cons(sk0_0,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4131,plain,(
% 43.30/5.78 ~ssList(cons(sk0_0,nil))|~ssList(sk0_48)|~neq(app(cons(sk0_0,nil),sk0_48),cons(sk0_0,sk0_48))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4099,f660])).
% 43.30/5.78 fof(f4132,plain,(
% 43.30/5.78 ~spl0_230|~spl0_11|~spl0_238),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4131,f4076,f585,f4128])).
% 43.30/5.78 fof(f4133,plain,(
% 43.30/5.78 spl0_239 <=> neq(cons(sk0_0,sk0_48),app(cons(sk0_0,nil),sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4136,plain,(
% 43.30/5.78 ~ssList(cons(sk0_0,nil))|~ssList(sk0_48)|~neq(cons(sk0_0,sk0_48),app(cons(sk0_0,nil),sk0_48))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4099,f660])).
% 43.30/5.78 fof(f4137,plain,(
% 43.30/5.78 ~spl0_230|~spl0_11|~spl0_239),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4136,f4076,f585,f4133])).
% 43.30/5.78 fof(f4142,plain,(
% 43.30/5.78 ~ssList(cons(sk0_0,nil))|~ssList(sk0_48)|ssList(cons(sk0_0,sk0_48))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4099,f245])).
% 43.30/5.78 fof(f4143,plain,(
% 43.30/5.78 ~spl0_230|~spl0_11|spl0_25),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4142,f4076,f585,f718])).
% 43.30/5.78 fof(f4144,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|app(app(X0,sk0_47),nil)=app(X0,sk0_47))),
% 43.30/5.78 inference(resolution,[status(thm)],[f658,f418])).
% 43.30/5.78 fof(f4145,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|app(app(X0,sk0_48),nil)=app(X0,sk0_48))),
% 43.30/5.78 inference(resolution,[status(thm)],[f658,f419])).
% 43.30/5.78 fof(f4153,plain,(
% 43.30/5.78 app(app(sk0_47,sk0_47),nil)=app(sk0_47,sk0_47)),
% 43.30/5.78 inference(resolution,[status(thm)],[f4144,f418])).
% 43.30/5.78 fof(f4154,plain,(
% 43.30/5.78 app(app(sk0_48,sk0_47),nil)=app(sk0_48,sk0_47)),
% 43.30/5.78 inference(resolution,[status(thm)],[f4144,f419])).
% 43.30/5.78 fof(f4164,plain,(
% 43.30/5.78 spl0_240 <=> ~ssItem(X0)|~geq(X0,sk0_1)|geq(X0,sk0_1)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4167,plain,(
% 43.30/5.78 ![X0]: (~ssItem(X0)|~geq(X0,sk0_1)|~geq(sk0_1,sk0_1)|geq(X0,sk0_1))),
% 43.30/5.78 inference(resolution,[status(thm)],[f397,f104])).
% 43.30/5.78 fof(f4168,plain,(
% 43.30/5.78 spl0_240|~spl0_224),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4167,f4164,f3968])).
% 43.30/5.78 fof(f4170,plain,(
% 43.30/5.78 spl0_241 <=> ~ssItem(X0)|~geq(X0,sk0_0)|geq(X0,sk0_0)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4173,plain,(
% 43.30/5.78 ![X0]: (~ssItem(X0)|~geq(X0,sk0_0)|~geq(sk0_0,sk0_0)|geq(X0,sk0_0))),
% 43.30/5.78 inference(resolution,[status(thm)],[f397,f103])).
% 43.30/5.78 fof(f4174,plain,(
% 43.30/5.78 spl0_241|~spl0_225),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4173,f4170,f3975])).
% 43.30/5.78 fof(f4731,plain,(
% 43.30/5.78 spl0_264 <=> neq(app(app(sk0_47,sk0_47),nil),app(sk0_47,sk0_47))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4734,plain,(
% 43.30/5.78 ~ssList(app(sk0_47,sk0_47))|~ssList(nil)|~neq(app(app(sk0_47,sk0_47),nil),app(sk0_47,sk0_47))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4153,f660])).
% 43.30/5.78 fof(f4735,plain,(
% 43.30/5.78 ~spl0_199|~spl0_5|~spl0_264),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4734,f3803,f522,f4731])).
% 43.30/5.78 fof(f4736,plain,(
% 43.30/5.78 spl0_265 <=> neq(app(sk0_47,sk0_47),app(app(sk0_47,sk0_47),nil))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4739,plain,(
% 43.30/5.78 ~ssList(app(sk0_47,sk0_47))|~ssList(nil)|~neq(app(sk0_47,sk0_47),app(app(sk0_47,sk0_47),nil))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4153,f660])).
% 43.30/5.78 fof(f4740,plain,(
% 43.30/5.78 ~spl0_199|~spl0_5|~spl0_265),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4739,f3803,f522,f4736])).
% 43.30/5.78 fof(f4747,plain,(
% 43.30/5.78 spl0_266 <=> neq(app(app(sk0_48,sk0_47),nil),app(sk0_48,sk0_47))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4750,plain,(
% 43.30/5.78 ~ssList(app(sk0_48,sk0_47))|~ssList(nil)|~neq(app(app(sk0_48,sk0_47),nil),app(sk0_48,sk0_47))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4154,f660])).
% 43.30/5.78 fof(f4751,plain,(
% 43.30/5.78 ~spl0_203|~spl0_5|~spl0_266),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4750,f3826,f522,f4747])).
% 43.30/5.78 fof(f4752,plain,(
% 43.30/5.78 spl0_267 <=> neq(app(sk0_48,sk0_47),app(app(sk0_48,sk0_47),nil))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4755,plain,(
% 43.30/5.78 ~ssList(app(sk0_48,sk0_47))|~ssList(nil)|~neq(app(sk0_48,sk0_47),app(app(sk0_48,sk0_47),nil))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4154,f660])).
% 43.30/5.78 fof(f4756,plain,(
% 43.30/5.78 ~spl0_203|~spl0_5|~spl0_267),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4755,f3826,f522,f4752])).
% 43.30/5.78 fof(f4775,plain,(
% 43.30/5.78 app(app(sk0_47,sk0_48),nil)=app(sk0_47,sk0_48)),
% 43.30/5.78 inference(resolution,[status(thm)],[f4145,f418])).
% 43.30/5.78 fof(f4776,plain,(
% 43.30/5.78 app(app(sk0_48,sk0_48),nil)=app(sk0_48,sk0_48)),
% 43.30/5.78 inference(resolution,[status(thm)],[f4145,f419])).
% 43.30/5.78 fof(f4787,plain,(
% 43.30/5.78 spl0_268 <=> neq(app(app(sk0_47,sk0_48),nil),app(sk0_47,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4790,plain,(
% 43.30/5.78 ~ssList(app(sk0_47,sk0_48))|~ssList(nil)|~neq(app(app(sk0_47,sk0_48),nil),app(sk0_47,sk0_48))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4775,f660])).
% 43.30/5.78 fof(f4791,plain,(
% 43.30/5.78 ~spl0_207|~spl0_5|~spl0_268),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4790,f3858,f522,f4787])).
% 43.30/5.78 fof(f4792,plain,(
% 43.30/5.78 spl0_269 <=> neq(app(sk0_47,sk0_48),app(app(sk0_47,sk0_48),nil))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4795,plain,(
% 43.30/5.78 ~ssList(app(sk0_47,sk0_48))|~ssList(nil)|~neq(app(sk0_47,sk0_48),app(app(sk0_47,sk0_48),nil))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4775,f660])).
% 43.30/5.78 fof(f4796,plain,(
% 43.30/5.78 ~spl0_207|~spl0_5|~spl0_269),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4795,f3858,f522,f4792])).
% 43.30/5.78 fof(f4803,plain,(
% 43.30/5.78 spl0_270 <=> neq(app(app(sk0_48,sk0_48),nil),app(sk0_48,sk0_48))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4806,plain,(
% 43.30/5.78 ~ssList(app(sk0_48,sk0_48))|~ssList(nil)|~neq(app(app(sk0_48,sk0_48),nil),app(sk0_48,sk0_48))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4776,f660])).
% 43.30/5.78 fof(f4807,plain,(
% 43.30/5.78 ~spl0_226|~spl0_5|~spl0_270),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4806,f3982,f522,f4803])).
% 43.30/5.78 fof(f4808,plain,(
% 43.30/5.78 spl0_271 <=> neq(app(sk0_48,sk0_48),app(app(sk0_48,sk0_48),nil))),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f4811,plain,(
% 43.30/5.78 ~ssList(app(sk0_48,sk0_48))|~ssList(nil)|~neq(app(sk0_48,sk0_48),app(app(sk0_48,sk0_48),nil))),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4776,f660])).
% 43.30/5.78 fof(f4812,plain,(
% 43.30/5.78 ~spl0_226|~spl0_5|~spl0_271),
% 43.30/5.78 inference(split_clause,[status(thm)],[f4811,f3982,f522,f4808])).
% 43.30/5.78 fof(f5145,plain,(
% 43.30/5.78 spl0_280 <=> ~ssList(X0)|~app(sk0_48,sk0_48)=app(app(sk0_48,sk0_48),X0)|nil=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5148,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(app(sk0_48,sk0_48))|~ssList(nil)|~app(sk0_48,sk0_48)=app(app(sk0_48,sk0_48),X0)|nil=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4776,f378])).
% 43.30/5.78 fof(f5149,plain,(
% 43.30/5.78 spl0_280|~spl0_226|~spl0_5),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5148,f5145,f3982,f522])).
% 43.30/5.78 fof(f5150,plain,(
% 43.30/5.78 spl0_281 <=> ~ssList(X0)|~app(sk0_48,sk0_47)=app(app(sk0_48,sk0_47),X0)|nil=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5153,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(app(sk0_48,sk0_47))|~ssList(nil)|~app(sk0_48,sk0_47)=app(app(sk0_48,sk0_47),X0)|nil=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4154,f378])).
% 43.30/5.78 fof(f5154,plain,(
% 43.30/5.78 spl0_281|~spl0_203|~spl0_5),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5153,f5150,f3826,f522])).
% 43.30/5.78 fof(f5155,plain,(
% 43.30/5.78 spl0_282 <=> ~ssList(X0)|~app(sk0_47,sk0_48)=app(app(sk0_47,sk0_48),X0)|nil=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5158,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(app(sk0_47,sk0_48))|~ssList(nil)|~app(sk0_47,sk0_48)=app(app(sk0_47,sk0_48),X0)|nil=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4775,f378])).
% 43.30/5.78 fof(f5159,plain,(
% 43.30/5.78 spl0_282|~spl0_207|~spl0_5),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5158,f5155,f3858,f522])).
% 43.30/5.78 fof(f5160,plain,(
% 43.30/5.78 spl0_283 <=> ~ssList(X0)|~app(sk0_47,sk0_47)=app(app(sk0_47,sk0_47),X0)|nil=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5163,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(app(sk0_47,sk0_47))|~ssList(nil)|~app(sk0_47,sk0_47)=app(app(sk0_47,sk0_47),X0)|nil=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4153,f378])).
% 43.30/5.78 fof(f5164,plain,(
% 43.30/5.78 spl0_283|~spl0_199|~spl0_5),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5163,f5160,f3803,f522])).
% 43.30/5.78 fof(f5170,plain,(
% 43.30/5.78 spl0_285 <=> ~ssList(X0)|~cons(sk0_1,sk0_48)=app(cons(sk0_1,nil),X0)|sk0_48=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5173,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(cons(sk0_1,nil))|~ssList(sk0_48)|~cons(sk0_1,sk0_48)=app(cons(sk0_1,nil),X0)|sk0_48=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4098,f378])).
% 43.30/5.78 fof(f5174,plain,(
% 43.30/5.78 spl0_285|~spl0_234|~spl0_11),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5173,f5170,f4106,f585])).
% 43.30/5.78 fof(f5175,plain,(
% 43.30/5.78 spl0_286 <=> ~ssList(X0)|~cons(sk0_0,sk0_48)=app(cons(sk0_0,nil),X0)|sk0_48=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5178,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(cons(sk0_0,nil))|~ssList(sk0_48)|~cons(sk0_0,sk0_48)=app(cons(sk0_0,nil),X0)|sk0_48=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4099,f378])).
% 43.30/5.78 fof(f5179,plain,(
% 43.30/5.78 spl0_286|~spl0_230|~spl0_11),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5178,f5175,f4076,f585])).
% 43.30/5.78 fof(f5180,plain,(
% 43.30/5.78 spl0_287 <=> ~ssList(X0)|~cons(sk0_0,sk0_47)=app(cons(sk0_0,nil),X0)|sk0_47=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5183,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(cons(sk0_0,nil))|~ssList(sk0_47)|~cons(sk0_0,sk0_47)=app(cons(sk0_0,nil),X0)|sk0_47=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4007,f378])).
% 43.30/5.78 fof(f5184,plain,(
% 43.30/5.78 spl0_287|~spl0_230|~spl0_16),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5183,f5180,f4076,f661])).
% 43.30/5.78 fof(f5185,plain,(
% 43.30/5.78 spl0_288 <=> ~ssList(X0)|~cons(sk0_0,sk0_47)=app(cons(sk0_0,sk0_47),X0)|nil=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5188,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(cons(sk0_0,sk0_47))|~ssList(nil)|~cons(sk0_0,sk0_47)=app(cons(sk0_0,sk0_47),X0)|nil=X0|~spl0_20)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f2674,f378])).
% 43.30/5.78 fof(f5189,plain,(
% 43.30/5.78 spl0_288|~spl0_20|~spl0_5),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5188,f5185,f695,f522])).
% 43.30/5.78 fof(f5190,plain,(
% 43.30/5.78 spl0_289 <=> ~ssList(X0)|~cons(sk0_0,sk0_48)=app(cons(sk0_0,sk0_48),X0)|nil=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5193,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(cons(sk0_0,sk0_48))|~ssList(nil)|~cons(sk0_0,sk0_48)=app(cons(sk0_0,sk0_48),X0)|nil=X0|~spl0_25)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f1356,f378])).
% 43.30/5.78 fof(f5194,plain,(
% 43.30/5.78 spl0_289|~spl0_25|~spl0_5),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5193,f5190,f718,f522])).
% 43.30/5.78 fof(f5195,plain,(
% 43.30/5.78 spl0_290 <=> ~ssList(X0)|~sk0_47=app(sk0_47,X0)|nil=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5198,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(sk0_47)|~ssList(nil)|~sk0_47=app(sk0_47,X0)|nil=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f490,f378])).
% 43.30/5.78 fof(f5199,plain,(
% 43.30/5.78 spl0_290|~spl0_16|~spl0_5),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5198,f5195,f661,f522])).
% 43.30/5.78 fof(f5200,plain,(
% 43.30/5.78 spl0_291 <=> ~ssList(X0)|~sk0_48=app(sk0_48,X0)|nil=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5203,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(sk0_48)|~ssList(nil)|~sk0_48=app(sk0_48,X0)|nil=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f489,f378])).
% 43.30/5.78 fof(f5204,plain,(
% 43.30/5.78 spl0_291|~spl0_11|~spl0_5),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5203,f5200,f585,f522])).
% 43.30/5.78 fof(f5210,plain,(
% 43.30/5.78 spl0_293 <=> ~ssList(X0)|~app(sk0_48,sk0_48)=app(nil,X0)|app(sk0_48,sk0_48)=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5213,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(sk0_48,sk0_48))|~app(sk0_48,sk0_48)=app(nil,X0)|app(sk0_48,sk0_48)=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f3850,f378])).
% 43.30/5.78 fof(f5214,plain,(
% 43.30/5.78 spl0_293|~spl0_5|~spl0_226),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5213,f5210,f522,f3982])).
% 43.30/5.78 fof(f5215,plain,(
% 43.30/5.78 spl0_294 <=> ~ssList(X0)|~app(sk0_48,sk0_47)=app(nil,X0)|app(sk0_48,sk0_47)=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5218,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(sk0_48,sk0_47))|~app(sk0_48,sk0_47)=app(nil,X0)|app(sk0_48,sk0_47)=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f3793,f378])).
% 43.30/5.78 fof(f5219,plain,(
% 43.30/5.78 spl0_294|~spl0_5|~spl0_203),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5218,f5215,f522,f3826])).
% 43.30/5.78 fof(f5220,plain,(
% 43.30/5.78 spl0_295 <=> ~ssList(X0)|~app(sk0_47,sk0_48)=app(nil,X0)|app(sk0_47,sk0_48)=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5223,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(sk0_47,sk0_48))|~app(sk0_47,sk0_48)=app(nil,X0)|app(sk0_47,sk0_48)=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f3849,f378])).
% 43.30/5.78 fof(f5224,plain,(
% 43.30/5.78 spl0_295|~spl0_5|~spl0_207),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5223,f5220,f522,f3858])).
% 43.30/5.78 fof(f5225,plain,(
% 43.30/5.78 spl0_296 <=> ~ssList(X0)|~app(sk0_47,sk0_47)=app(nil,X0)|app(sk0_47,sk0_47)=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5228,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(sk0_47,sk0_47))|~app(sk0_47,sk0_47)=app(nil,X0)|app(sk0_47,sk0_47)=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f3792,f378])).
% 43.30/5.78 fof(f5229,plain,(
% 43.30/5.78 spl0_296|~spl0_5|~spl0_199),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5228,f5225,f522,f3803])).
% 43.30/5.78 fof(f5230,plain,(
% 43.30/5.78 spl0_297 <=> ~ssList(X0)|~cons(sk0_0,sk0_47)=app(nil,X0)|cons(sk0_0,sk0_47)=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5233,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(cons(sk0_0,sk0_47))|~cons(sk0_0,sk0_47)=app(nil,X0)|cons(sk0_0,sk0_47)=X0|~spl0_20)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f2673,f378])).
% 43.30/5.78 fof(f5234,plain,(
% 43.30/5.78 spl0_297|~spl0_5|~spl0_20),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5233,f5230,f522,f695])).
% 43.30/5.78 fof(f5235,plain,(
% 43.30/5.78 spl0_298 <=> ~ssList(X0)|~cons(sk0_0,sk0_48)=app(nil,X0)|cons(sk0_0,sk0_48)=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5238,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(cons(sk0_0,sk0_48))|~cons(sk0_0,sk0_48)=app(nil,X0)|cons(sk0_0,sk0_48)=X0|~spl0_25)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f1355,f378])).
% 43.30/5.78 fof(f5239,plain,(
% 43.30/5.78 spl0_298|~spl0_5|~spl0_25),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5238,f5235,f522,f718])).
% 43.30/5.78 fof(f5240,plain,(
% 43.30/5.78 spl0_299 <=> ~ssList(X0)|~sk0_47=app(nil,X0)|sk0_47=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5243,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk0_47)|~sk0_47=app(nil,X0)|sk0_47=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f488,f378])).
% 43.30/5.78 fof(f5244,plain,(
% 43.30/5.78 spl0_299|~spl0_5|~spl0_16),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5243,f5240,f522,f661])).
% 43.30/5.78 fof(f5245,plain,(
% 43.30/5.78 spl0_300 <=> ~ssList(X0)|~sk0_48=app(nil,X0)|sk0_48=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5248,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk0_48)|~sk0_48=app(nil,X0)|sk0_48=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f487,f378])).
% 43.30/5.78 fof(f5249,plain,(
% 43.30/5.78 spl0_300|~spl0_5|~spl0_11),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5248,f5245,f522,f585])).
% 43.30/5.78 fof(f5250,plain,(
% 43.30/5.78 spl0_301 <=> ~ssList(X0)|~nil=app(nil,X0)|nil=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5253,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|~nil=app(nil,X0)|nil=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f731,f378])).
% 43.30/5.78 fof(f5254,plain,(
% 43.30/5.78 spl0_301|~spl0_5),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5253,f5250,f522])).
% 43.30/5.78 fof(f5299,plain,(
% 43.30/5.78 spl0_302 <=> ~ssList(X0)|~ssList(X0)|X0=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5302,plain,(
% 43.30/5.78 spl0_303 <=> ~ssList(X1)),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5303,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~spl0_303)),
% 43.30/5.78 inference(component_clause,[status(thm)],[f5302])).
% 43.30/5.78 fof(f5305,plain,(
% 43.30/5.78 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(X0)|X0=X0)),
% 43.30/5.78 inference(equality_resolution,[status(esa)],[f378])).
% 43.30/5.78 fof(f5306,plain,(
% 43.30/5.78 spl0_302|spl0_303),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5305,f5299,f5302])).
% 43.30/5.78 fof(f5307,plain,(
% 43.30/5.78 spl0_304 <=> ~ssList(X0)|~app(sk0_48,sk0_48)=app(X0,nil)|app(sk0_48,sk0_48)=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5310,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(sk0_48,sk0_48))|~app(sk0_48,sk0_48)=app(X0,nil)|app(sk0_48,sk0_48)=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4776,f376])).
% 43.30/5.78 fof(f5311,plain,(
% 43.30/5.78 spl0_304|~spl0_5|~spl0_226),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5310,f5307,f522,f3982])).
% 43.30/5.78 fof(f5312,plain,(
% 43.30/5.78 spl0_305 <=> ~ssList(X0)|~app(sk0_48,sk0_47)=app(X0,nil)|app(sk0_48,sk0_47)=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5315,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(sk0_48,sk0_47))|~app(sk0_48,sk0_47)=app(X0,nil)|app(sk0_48,sk0_47)=X0)),
% 43.30/5.78 inference(paramodulation,[status(thm)],[f4154,f376])).
% 43.30/5.78 fof(f5316,plain,(
% 43.30/5.78 spl0_305|~spl0_5|~spl0_203),
% 43.30/5.78 inference(split_clause,[status(thm)],[f5315,f5312,f522,f3826])).
% 43.30/5.78 fof(f5317,plain,(
% 43.30/5.78 spl0_306 <=> ~ssList(X0)|~app(sk0_47,sk0_48)=app(X0,nil)|app(sk0_47,sk0_48)=X0),
% 43.30/5.78 introduced(split_symbol_definition)).
% 43.30/5.78 fof(f5320,plain,(
% 43.30/5.78 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(sk0_47,sk0_48))|~app(sk0_47,sk0_48)=app(X0,nil)|app(sk0_47,sk0_48)=X0)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f4775,f376])).
% 43.30/5.79 fof(f5321,plain,(
% 43.30/5.79 spl0_306|~spl0_5|~spl0_207),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5320,f5317,f522,f3858])).
% 43.30/5.79 fof(f5322,plain,(
% 43.30/5.79 spl0_307 <=> ~ssList(X0)|~app(sk0_47,sk0_47)=app(X0,nil)|app(sk0_47,sk0_47)=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5325,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(sk0_47,sk0_47))|~app(sk0_47,sk0_47)=app(X0,nil)|app(sk0_47,sk0_47)=X0)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f4153,f376])).
% 43.30/5.79 fof(f5326,plain,(
% 43.30/5.79 spl0_307|~spl0_5|~spl0_199),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5325,f5322,f522,f3803])).
% 43.30/5.79 fof(f5332,plain,(
% 43.30/5.79 spl0_309 <=> ~ssList(X0)|~cons(sk0_1,sk0_48)=app(X0,sk0_48)|cons(sk0_1,nil)=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5335,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(sk0_48)|~ssList(cons(sk0_1,nil))|~cons(sk0_1,sk0_48)=app(X0,sk0_48)|cons(sk0_1,nil)=X0)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f4098,f376])).
% 43.30/5.79 fof(f5336,plain,(
% 43.30/5.79 spl0_309|~spl0_11|~spl0_234),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5335,f5332,f585,f4106])).
% 43.30/5.79 fof(f5337,plain,(
% 43.30/5.79 spl0_310 <=> ~ssList(X0)|~cons(sk0_0,sk0_48)=app(X0,sk0_48)|cons(sk0_0,nil)=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5340,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(sk0_48)|~ssList(cons(sk0_0,nil))|~cons(sk0_0,sk0_48)=app(X0,sk0_48)|cons(sk0_0,nil)=X0)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f4099,f376])).
% 43.30/5.79 fof(f5341,plain,(
% 43.30/5.79 spl0_310|~spl0_11|~spl0_230),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5340,f5337,f585,f4076])).
% 43.30/5.79 fof(f5342,plain,(
% 43.30/5.79 spl0_311 <=> ~ssList(X0)|~cons(sk0_0,sk0_47)=app(X0,sk0_47)|cons(sk0_0,nil)=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5345,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(sk0_47)|~ssList(cons(sk0_0,nil))|~cons(sk0_0,sk0_47)=app(X0,sk0_47)|cons(sk0_0,nil)=X0)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f4007,f376])).
% 43.30/5.79 fof(f5346,plain,(
% 43.30/5.79 spl0_311|~spl0_16|~spl0_230),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5345,f5342,f661,f4076])).
% 43.30/5.79 fof(f5347,plain,(
% 43.30/5.79 spl0_312 <=> ~ssList(X0)|~cons(sk0_0,sk0_47)=app(X0,nil)|cons(sk0_0,sk0_47)=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5350,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(cons(sk0_0,sk0_47))|~cons(sk0_0,sk0_47)=app(X0,nil)|cons(sk0_0,sk0_47)=X0|~spl0_20)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f2674,f376])).
% 43.30/5.79 fof(f5351,plain,(
% 43.30/5.79 spl0_312|~spl0_5|~spl0_20),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5350,f5347,f522,f695])).
% 43.30/5.79 fof(f5352,plain,(
% 43.30/5.79 spl0_313 <=> ~ssList(X0)|~cons(sk0_0,sk0_48)=app(X0,nil)|cons(sk0_0,sk0_48)=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5355,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(cons(sk0_0,sk0_48))|~cons(sk0_0,sk0_48)=app(X0,nil)|cons(sk0_0,sk0_48)=X0|~spl0_25)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f1356,f376])).
% 43.30/5.79 fof(f5356,plain,(
% 43.30/5.79 spl0_313|~spl0_5|~spl0_25),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5355,f5352,f522,f718])).
% 43.30/5.79 fof(f5357,plain,(
% 43.30/5.79 spl0_314 <=> ~ssList(X0)|~sk0_47=app(X0,nil)|sk0_47=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5360,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk0_47)|~sk0_47=app(X0,nil)|sk0_47=X0)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f490,f376])).
% 43.30/5.79 fof(f5361,plain,(
% 43.30/5.79 spl0_314|~spl0_5|~spl0_16),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5360,f5357,f522,f661])).
% 43.30/5.79 fof(f5362,plain,(
% 43.30/5.79 spl0_315 <=> ~ssList(X0)|~sk0_48=app(X0,nil)|sk0_48=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5365,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk0_48)|~sk0_48=app(X0,nil)|sk0_48=X0)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f489,f376])).
% 43.30/5.79 fof(f5366,plain,(
% 43.30/5.79 spl0_315|~spl0_5|~spl0_11),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5365,f5362,f522,f585])).
% 43.30/5.79 fof(f5372,plain,(
% 43.30/5.79 spl0_317 <=> ~ssList(X0)|~app(sk0_48,sk0_48)=app(X0,app(sk0_48,sk0_48))|nil=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5375,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(app(sk0_48,sk0_48))|~ssList(nil)|~app(sk0_48,sk0_48)=app(X0,app(sk0_48,sk0_48))|nil=X0)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f3850,f376])).
% 43.30/5.79 fof(f5376,plain,(
% 43.30/5.79 spl0_317|~spl0_226|~spl0_5),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5375,f5372,f3982,f522])).
% 43.30/5.79 fof(f5377,plain,(
% 43.30/5.79 spl0_318 <=> ~ssList(X0)|~app(sk0_48,sk0_47)=app(X0,app(sk0_48,sk0_47))|nil=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5380,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(app(sk0_48,sk0_47))|~ssList(nil)|~app(sk0_48,sk0_47)=app(X0,app(sk0_48,sk0_47))|nil=X0)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f3793,f376])).
% 43.30/5.79 fof(f5381,plain,(
% 43.30/5.79 spl0_318|~spl0_203|~spl0_5),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5380,f5377,f3826,f522])).
% 43.30/5.79 fof(f5382,plain,(
% 43.30/5.79 spl0_319 <=> ~ssList(X0)|~app(sk0_47,sk0_48)=app(X0,app(sk0_47,sk0_48))|nil=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5385,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(app(sk0_47,sk0_48))|~ssList(nil)|~app(sk0_47,sk0_48)=app(X0,app(sk0_47,sk0_48))|nil=X0)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f3849,f376])).
% 43.30/5.79 fof(f5386,plain,(
% 43.30/5.79 spl0_319|~spl0_207|~spl0_5),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5385,f5382,f3858,f522])).
% 43.30/5.79 fof(f5387,plain,(
% 43.30/5.79 spl0_320 <=> ~ssList(X0)|~app(sk0_47,sk0_47)=app(X0,app(sk0_47,sk0_47))|nil=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5390,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(app(sk0_47,sk0_47))|~ssList(nil)|~app(sk0_47,sk0_47)=app(X0,app(sk0_47,sk0_47))|nil=X0)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f3792,f376])).
% 43.30/5.79 fof(f5391,plain,(
% 43.30/5.79 spl0_320|~spl0_199|~spl0_5),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5390,f5387,f3803,f522])).
% 43.30/5.79 fof(f5392,plain,(
% 43.30/5.79 spl0_321 <=> ~ssList(X0)|~cons(sk0_0,sk0_47)=app(X0,cons(sk0_0,sk0_47))|nil=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5395,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(cons(sk0_0,sk0_47))|~ssList(nil)|~cons(sk0_0,sk0_47)=app(X0,cons(sk0_0,sk0_47))|nil=X0|~spl0_20)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f2673,f376])).
% 43.30/5.79 fof(f5396,plain,(
% 43.30/5.79 spl0_321|~spl0_20|~spl0_5),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5395,f5392,f695,f522])).
% 43.30/5.79 fof(f5397,plain,(
% 43.30/5.79 spl0_322 <=> ~ssList(X0)|~cons(sk0_0,sk0_48)=app(X0,cons(sk0_0,sk0_48))|nil=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5400,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(cons(sk0_0,sk0_48))|~ssList(nil)|~cons(sk0_0,sk0_48)=app(X0,cons(sk0_0,sk0_48))|nil=X0|~spl0_25)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f1355,f376])).
% 43.30/5.79 fof(f5401,plain,(
% 43.30/5.79 spl0_322|~spl0_25|~spl0_5),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5400,f5397,f718,f522])).
% 43.30/5.79 fof(f5402,plain,(
% 43.30/5.79 spl0_323 <=> ~ssList(X0)|~sk0_47=app(X0,sk0_47)|nil=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5405,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(sk0_47)|~ssList(nil)|~sk0_47=app(X0,sk0_47)|nil=X0)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f488,f376])).
% 43.30/5.79 fof(f5406,plain,(
% 43.30/5.79 spl0_323|~spl0_16|~spl0_5),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5405,f5402,f661,f522])).
% 43.30/5.79 fof(f5407,plain,(
% 43.30/5.79 spl0_324 <=> ~ssList(X0)|~sk0_48=app(X0,sk0_48)|nil=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5410,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(sk0_48)|~ssList(nil)|~sk0_48=app(X0,sk0_48)|nil=X0)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f487,f376])).
% 43.30/5.79 fof(f5411,plain,(
% 43.30/5.79 spl0_324|~spl0_11|~spl0_5),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5410,f5407,f585,f522])).
% 43.30/5.79 fof(f5412,plain,(
% 43.30/5.79 spl0_325 <=> ~ssList(X0)|~nil=app(X0,nil)|nil=X0),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5415,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|~nil=app(X0,nil)|nil=X0)),
% 43.30/5.79 inference(paramodulation,[status(thm)],[f731,f376])).
% 43.30/5.79 fof(f5416,plain,(
% 43.30/5.79 spl0_325|~spl0_5),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5415,f5412,f522])).
% 43.30/5.79 fof(f5463,plain,(
% 43.30/5.79 spl0_326 <=> ~ssItem(X0)|~ssItem(X0)),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5464,plain,(
% 43.30/5.79 ![X0]: (~ssItem(X0)|~ssItem(X0)|~spl0_326)),
% 43.30/5.79 inference(component_clause,[status(thm)],[f5463])).
% 43.30/5.79 fof(f5505,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_47)|app(sk0_47,sk0_5(sk0_47,X0))=X0)),
% 43.30/5.79 inference(resolution,[status(thm)],[f123,f418])).
% 43.30/5.79 fof(f5506,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_48)|app(sk0_48,sk0_5(sk0_48,X0))=X0)),
% 43.30/5.79 inference(resolution,[status(thm)],[f123,f419])).
% 43.30/5.79 fof(f5625,plain,(
% 43.30/5.79 spl0_354 <=> app(sk0_47,sk0_5(sk0_47,sk0_47))=sk0_47),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5628,plain,(
% 43.30/5.79 ~ssList(sk0_47)|app(sk0_47,sk0_5(sk0_47,sk0_47))=sk0_47),
% 43.30/5.79 inference(resolution,[status(thm)],[f5505,f505])).
% 43.30/5.79 fof(f5629,plain,(
% 43.30/5.79 ~spl0_16|spl0_354),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5628,f661,f5625])).
% 43.30/5.79 fof(f5630,plain,(
% 43.30/5.79 spl0_355 <=> app(sk0_48,sk0_5(sk0_48,sk0_48))=sk0_48),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5633,plain,(
% 43.30/5.79 ~ssList(sk0_48)|app(sk0_48,sk0_5(sk0_48,sk0_48))=sk0_48),
% 43.30/5.79 inference(resolution,[status(thm)],[f5506,f504])).
% 43.30/5.79 fof(f5634,plain,(
% 43.30/5.79 ~spl0_11|spl0_355),
% 43.30/5.79 inference(split_clause,[status(thm)],[f5633,f585,f5630])).
% 43.30/5.79 fof(f5652,plain,(
% 43.30/5.79 spl0_358 <=> neq(sk0_47,sk0_47)),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5653,plain,(
% 43.30/5.79 neq(sk0_47,sk0_47)|~spl0_358),
% 43.30/5.79 inference(component_clause,[status(thm)],[f5652])).
% 43.30/5.79 fof(f5688,plain,(
% 43.30/5.79 $false|~spl0_358),
% 43.30/5.79 inference(forward_subsumption_resolution,[status(thm)],[f5653,f486])).
% 43.30/5.79 fof(f5689,plain,(
% 43.30/5.79 ~spl0_358),
% 43.30/5.79 inference(contradiction_clause,[status(thm)],[f5688])).
% 43.30/5.79 fof(f5690,plain,(
% 43.30/5.79 spl0_366 <=> neq(sk0_48,sk0_48)),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f5691,plain,(
% 43.30/5.79 neq(sk0_48,sk0_48)|~spl0_366),
% 43.30/5.79 inference(component_clause,[status(thm)],[f5690])).
% 43.30/5.79 fof(f5734,plain,(
% 43.30/5.79 $false|~spl0_366),
% 43.30/5.79 inference(forward_subsumption_resolution,[status(thm)],[f5691,f485])).
% 43.30/5.79 fof(f5735,plain,(
% 43.30/5.79 ~spl0_366),
% 43.30/5.79 inference(contradiction_clause,[status(thm)],[f5734])).
% 43.30/5.79 fof(f5925,plain,(
% 43.30/5.79 ![X0]: (~ssItem(X0)|~spl0_326)),
% 43.30/5.79 inference(duplicate_literals_removal,[status(esa)],[f5464])).
% 43.30/5.79 fof(f5926,plain,(
% 43.30/5.79 $false|~spl0_212),
% 43.30/5.79 inference(forward_subsumption_resolution,[status(thm)],[f3921,f105])).
% 43.30/5.79 fof(f5927,plain,(
% 43.30/5.79 ~spl0_212),
% 43.30/5.79 inference(contradiction_clause,[status(thm)],[f5926])).
% 43.30/5.79 fof(f5948,plain,(
% 43.30/5.79 $false|~spl0_326),
% 43.30/5.79 inference(backward_subsumption_resolution,[status(thm)],[f104,f5925])).
% 43.30/5.79 fof(f5949,plain,(
% 43.30/5.79 ~spl0_326),
% 43.30/5.79 inference(contradiction_clause,[status(thm)],[f5948])).
% 43.30/5.79 fof(f6067,plain,(
% 43.30/5.79 ~ssList(sk0_48)|~ssList(sk0_48)|spl0_226),
% 43.30/5.79 inference(resolution,[status(thm)],[f3984,f245])).
% 43.30/5.79 fof(f6068,plain,(
% 43.30/5.79 ~spl0_11|spl0_226),
% 43.30/5.79 inference(split_clause,[status(thm)],[f6067,f585,f3982])).
% 43.30/5.79 fof(f6069,plain,(
% 43.30/5.79 ~ssList(sk0_48)|~ssList(sk0_47)|spl0_203),
% 43.30/5.79 inference(resolution,[status(thm)],[f3828,f245])).
% 43.30/5.79 fof(f6070,plain,(
% 43.30/5.79 ~spl0_11|~spl0_16|spl0_203),
% 43.30/5.79 inference(split_clause,[status(thm)],[f6069,f585,f661,f3826])).
% 43.30/5.79 fof(f6185,plain,(
% 43.30/5.79 ~ssList(sk0_47)|~ssList(sk0_48)|spl0_207),
% 43.30/5.79 inference(resolution,[status(thm)],[f3860,f245])).
% 43.30/5.79 fof(f6186,plain,(
% 43.30/5.79 ~spl0_16|~spl0_11|spl0_207),
% 43.30/5.79 inference(split_clause,[status(thm)],[f6185,f661,f585,f3858])).
% 43.30/5.79 fof(f6200,plain,(
% 43.30/5.79 ~ssList(sk0_47)|~ssList(sk0_47)|spl0_199),
% 43.30/5.79 inference(resolution,[status(thm)],[f3805,f245])).
% 43.30/5.79 fof(f6201,plain,(
% 43.30/5.79 ~spl0_16|spl0_199),
% 43.30/5.79 inference(split_clause,[status(thm)],[f6200,f661,f3803])).
% 43.30/5.79 fof(f6519,plain,(
% 43.30/5.79 spl0_415 <=> ~ssList(X0)|rearsegP(app(tl(app(sk0_47,sk0_47)),X0),X0)),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f6522,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|rearsegP(app(tl(app(sk0_47,sk0_47)),X0),X0)|nil=app(sk0_47,sk0_47)|~spl0_199)),
% 43.30/5.79 inference(resolution,[status(thm)],[f3804,f1099])).
% 43.30/5.79 fof(f6523,plain,(
% 43.30/5.79 spl0_415|spl0_202|~spl0_199),
% 43.30/5.79 inference(split_clause,[status(thm)],[f6522,f6519,f3816,f3803])).
% 43.30/5.79 fof(f6524,plain,(
% 43.30/5.79 spl0_416 <=> ~ssList(X0)|frontsegP(app(X0,tl(app(sk0_47,sk0_47))),X0)),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f6527,plain,(
% 43.30/5.79 ![X0]: (~ssList(X0)|frontsegP(app(X0,tl(app(sk0_47,sk0_47))),X0)|nil=app(sk0_47,sk0_47)|~spl0_199)),
% 43.30/5.79 inference(resolution,[status(thm)],[f3804,f1091])).
% 43.30/5.79 fof(f6528,plain,(
% 43.30/5.79 spl0_416|spl0_202|~spl0_199),
% 43.30/5.79 inference(split_clause,[status(thm)],[f6527,f6524,f3816,f3803])).
% 43.30/5.79 fof(f6540,plain,(
% 43.30/5.79 spl0_417 <=> app(tl(app(sk0_47,sk0_47)),nil)=tl(app(sk0_47,sk0_47))),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f6543,plain,(
% 43.30/5.79 nil=app(sk0_47,sk0_47)|app(tl(app(sk0_47,sk0_47)),nil)=tl(app(sk0_47,sk0_47))|~spl0_199),
% 43.30/5.79 inference(resolution,[status(thm)],[f3804,f621])).
% 43.30/5.79 fof(f6544,plain,(
% 43.30/5.79 spl0_202|spl0_417|~spl0_199),
% 43.30/5.79 inference(split_clause,[status(thm)],[f6543,f3816,f6540,f3803])).
% 43.30/5.79 fof(f6550,plain,(
% 43.30/5.79 spl0_418 <=> app(nil,tl(app(sk0_47,sk0_47)))=tl(app(sk0_47,sk0_47))),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f6553,plain,(
% 43.30/5.79 nil=app(sk0_47,sk0_47)|app(nil,tl(app(sk0_47,sk0_47)))=tl(app(sk0_47,sk0_47))|~spl0_199),
% 43.30/5.79 inference(resolution,[status(thm)],[f3804,f622])).
% 43.30/5.79 fof(f6554,plain,(
% 43.30/5.79 spl0_202|spl0_418|~spl0_199),
% 43.30/5.79 inference(split_clause,[status(thm)],[f6553,f3816,f6550,f3803])).
% 43.30/5.79 fof(f6555,plain,(
% 43.30/5.79 spl0_419 <=> cons(sk0_44(app(sk0_47,sk0_47)),sk0_43(app(sk0_47,sk0_47)))=app(sk0_47,sk0_47)),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f6558,plain,(
% 43.30/5.79 nil=app(sk0_47,sk0_47)|cons(sk0_44(app(sk0_47,sk0_47)),sk0_43(app(sk0_47,sk0_47)))=app(sk0_47,sk0_47)|~spl0_199),
% 43.30/5.79 inference(resolution,[status(thm)],[f3804,f233])).
% 43.30/5.79 fof(f6559,plain,(
% 43.30/5.79 spl0_202|spl0_419|~spl0_199),
% 43.30/5.79 inference(split_clause,[status(thm)],[f6558,f3816,f6555,f3803])).
% 43.30/5.79 fof(f6561,plain,(
% 43.30/5.79 spl0_420 <=> cons(hd(app(sk0_47,sk0_47)),tl(app(sk0_47,sk0_47)))=app(sk0_47,sk0_47)),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f6564,plain,(
% 43.30/5.79 nil=app(sk0_47,sk0_47)|cons(hd(app(sk0_47,sk0_47)),tl(app(sk0_47,sk0_47)))=app(sk0_47,sk0_47)|~spl0_199),
% 43.30/5.79 inference(resolution,[status(thm)],[f3804,f374])).
% 43.30/5.79 fof(f6565,plain,(
% 43.30/5.79 spl0_202|spl0_420|~spl0_199),
% 43.30/5.79 inference(split_clause,[status(thm)],[f6564,f3816,f6561,f3803])).
% 43.30/5.79 fof(f6570,plain,(
% 43.30/5.79 spl0_421 <=> hd(app(sk0_47,sk0_47))=sk0_45(app(sk0_47,sk0_47))),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f6573,plain,(
% 43.30/5.79 nil=app(sk0_47,sk0_47)|hd(app(sk0_47,sk0_47))=sk0_45(app(sk0_47,sk0_47))|~spl0_199),
% 43.30/5.79 inference(resolution,[status(thm)],[f3804,f366])).
% 43.30/5.79 fof(f6574,plain,(
% 43.30/5.79 spl0_202|spl0_421|~spl0_199),
% 43.30/5.79 inference(split_clause,[status(thm)],[f6573,f3816,f6570,f3803])).
% 43.30/5.79 fof(f6575,plain,(
% 43.30/5.79 spl0_422 <=> tl(app(sk0_47,sk0_47))=sk0_46(app(sk0_47,sk0_47))),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f6578,plain,(
% 43.30/5.79 nil=app(sk0_47,sk0_47)|tl(app(sk0_47,sk0_47))=sk0_46(app(sk0_47,sk0_47))|~spl0_199),
% 43.30/5.79 inference(resolution,[status(thm)],[f3804,f370])).
% 43.30/5.79 fof(f6579,plain,(
% 43.30/5.79 spl0_202|spl0_422|~spl0_199),
% 43.30/5.79 inference(split_clause,[status(thm)],[f6578,f3816,f6575,f3803])).
% 43.30/5.79 fof(f6586,plain,(
% 43.30/5.79 app(nil,app(sk0_47,sk0_47))=nil|~spl0_202),
% 43.30/5.79 inference(backward_demodulation,[status(thm)],[f3817,f3792])).
% 43.30/5.79 fof(f6587,plain,(
% 43.30/5.79 app(sk0_47,sk0_47)=nil|~spl0_202),
% 43.30/5.79 inference(forward_demodulation,[status(thm)],[f3792,f6586])).
% 43.30/5.79 fof(f6911,plain,(
% 43.30/5.79 ~ssList(sk0_47)|~ssList(sk0_47)|nil=sk0_47|~spl0_202),
% 43.30/5.79 inference(resolution,[status(thm)],[f6587,f385])).
% 43.30/5.79 fof(f6912,plain,(
% 43.30/5.79 ~spl0_16|spl0_53|~spl0_202),
% 43.30/5.79 inference(split_clause,[status(thm)],[f6911,f661,f906,f3816])).
% 43.30/5.79 fof(f6929,plain,(
% 43.30/5.79 spl0_433 <=> neq(app(sk0_47,sk0_47),nil)),
% 43.30/5.79 introduced(split_symbol_definition)).
% 43.30/5.79 fof(f6931,plain,(
% 43.30/5.79 ~neq(app(sk0_47,sk0_47),nil)|spl0_433),
% 43.30/5.79 inference(component_clause,[status(thm)],[f6929])).
% 43.30/5.79 fof(f6983,plain,(
% 43.30/5.79 $false|~spl0_303|~spl0_207),
% 43.30/5.79 inference(forward_subsumption_resolution,[status(thm)],[f3859,f5303])).
% 43.30/5.79 fof(f6984,plain,(
% 43.30/5.79 ~spl0_303|~spl0_207),
% 43.30/5.79 inference(contradiction_clause,[status(thm)],[f6983])).
% 43.30/5.79 fof(f8091,plain,(
% 43.30/5.79 ~ssList(app(sk0_47,sk0_47))|app(sk0_47,sk0_47)=nil|spl0_433),
% 43.30/5.79 inference(resolution,[status(thm)],[f729,f6931])).
% 43.30/5.79 fof(f8092,plain,(
% 43.30/5.79 ~spl0_199|spl0_202|spl0_433),
% 43.30/5.79 inference(split_clause,[status(thm)],[f8091,f3803,f3816,f6929])).
% 43.30/5.79 fof(f8352,plain,(
% 43.30/5.79 ~ssList(nil)|~ssItem(sk0_1)|spl0_234),
% 43.30/5.79 inference(resolution,[status(thm)],[f222,f4108])).
% 43.30/5.79 fof(f8353,plain,(
% 43.30/5.79 ~spl0_5|~spl0_19|spl0_234),
% 43.30/5.79 inference(split_clause,[status(thm)],[f8352,f522,f690,f4106])).
% 43.30/5.79 fof(f8354,plain,(
% 43.30/5.79 ~ssList(nil)|~ssItem(sk0_0)|spl0_230),
% 43.30/5.79 inference(resolution,[status(thm)],[f222,f4078])).
% 43.30/5.79 fof(f8355,plain,(
% 43.30/5.79 ~spl0_5|~spl0_22|spl0_230),
% 43.30/5.79 inference(split_clause,[status(thm)],[f8354,f522,f701,f4076])).
% 43.30/5.79 fof(f8597,plain,(
% 43.30/5.79 cons(hd(sk0_48),tl(sk0_48))=app(cons(hd(sk0_48),nil),tl(sk0_48))|~spl0_8|~spl0_10),
% 43.30/5.79 inference(resolution,[status(thm)],[f3915,f564])).
% 43.30/5.79 fof(f8598,plain,(
% 43.30/5.79 sk0_48=app(cons(hd(sk0_48),nil),tl(sk0_48))|~spl0_111|~spl0_8|~spl0_10),
% 43.30/5.79 inference(forward_demodulation,[status(thm)],[f1923,f8597])).
% 43.30/5.80 fof(f8599,plain,(
% 43.30/5.80 $false|spl0_42|~spl0_111|~spl0_8|~spl0_10),
% 43.30/5.80 inference(forward_subsumption_resolution,[status(thm)],[f8598,f854])).
% 43.30/5.80 fof(f8600,plain,(
% 43.30/5.80 spl0_42|~spl0_111|~spl0_8|~spl0_10),
% 43.30/5.80 inference(contradiction_clause,[status(thm)],[f8599])).
% 43.30/5.80 fof(f8601,plain,(
% 43.30/5.80 $false),
% 43.30/5.80 inference(sat_refutation,[status(thm)],[f434,f444,f478,f529,f531,f538,f583,f589,f591,f616,f625,f634,f638,f741,f744,f769,f778,f795,f797,f834,f859,f872,f879,f881,f910,f930,f932,f1021,f1050,f1052,f1926,f2022,f3110,f3115,f3120,f3125,f3130,f3135,f3140,f3145,f3150,f3155,f3559,f3564,f3577,f3582,f3595,f3600,f3613,f3618,f3631,f3636,f3649,f3654,f3810,f3815,f3833,f3838,f3865,f3870,f3972,f3974,f3979,f3981,f3989,f3994,f4083,f4088,f4097,f4113,f4118,f4127,f4132,f4137,f4143,f4168,f4174,f4735,f4740,f4751,f4756,f4791,f4796,f4807,f4812,f5149,f5154,f5159,f5164,f5174,f5179,f5184,f5189,f5194,f5199,f5204,f5214,f5219,f5224,f5229,f5234,f5239,f5244,f5249,f5254,f5306,f5311,f5316,f5321,f5326,f5336,f5341,f5346,f5351,f5356,f5361,f5366,f5376,f5381,f5386,f5391,f5396,f5401,f5406,f5411,f5416,f5629,f5634,f5689,f5735,f5927,f5949,f6068,f6070,f6186,f6201,f6523,f6528,f6544,f6554,f6559,f6565,f6574,f6579,f6912,f6984,f8092,f8353,f8355,f8600])).
% 43.30/5.80 % SZS output end CNFRefutation for theBenchmark.p
% 43.87/5.83 % Elapsed time: 5.510584 seconds
% 43.87/5.83 % CPU time: 43.589582 seconds
% 43.87/5.83 % Total memory used: 308.743 MB
% 43.87/5.83 % Net memory used: 300.397 MB
%------------------------------------------------------------------------------