%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC310+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:42:07 PM UTC 2026
% Result : Theorem 54.74s 7.64s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC310+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n012.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 08:14:37 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 54.74/7.64 % Refutation found
% 54.74/7.64 % SZS status Theorem for theBenchmark: Theorem is valid
% 54.74/7.64 % SZS output start CNFRefutation for theBenchmark
% 54.74/7.64 fof(f1,axiom,(
% 54.74/7.64 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f2,axiom,(
% 54.74/7.64 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f9,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> ( totalorderP(U)<=> (! [V] :( ssItem(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssList(X)=> (! [Y] :( ssList(Y)=> (! [Z] :( ssList(Z)=> ( app(app(X,cons(V,Y)),cons(W,Z)) = U=> ( leq(V,W)| leq(W,V) ) ) ) )) )) )) )) )) ) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f11,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> ( totalorderedP(U)<=> (! [V] :( ssItem(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssList(X)=> (! [Y] :( ssList(Y)=> (! [Z] :( ssList(Z)=> ( app(app(X,cons(V,Y)),cons(W,Z)) = U=> leq(V,W) ) ) )) )) )) )) )) ) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f15,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f16,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f17,axiom,(
% 54.74/7.64 ssList(nil) ),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f19,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssItem(X)=> ( cons(W,U) = cons(X,V)=> ( W = X& V = U ) ) ) )) )) )) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f21,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> nil != cons(V,U) ) )) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f22,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> ( nil != U=> ssItem(hd(U)) ) ) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f23,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> hd(cons(V,U)) = V ) )) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f24,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> ( nil != U=> ssList(tl(U)) ) ) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f25,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> tl(cons(V,U)) = U ) )) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f28,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f36,axiom,(
% 54.74/7.64 (! [U] :( ssItem(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( memberP(app(V,W),U)<=> ( memberP(V,U)| memberP(W,U) ) ) ) )) )) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f78,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> ( nil != U=> cons(hd(U),tl(U)) = U ) ) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f79,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(W,V) = app(U,V)=> W = U ) ) )) )) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f80,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(V,W) = app(V,U)=> W = U ) ) )) )) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f81,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> cons(V,U) = app(cons(V,nil),U) ) )) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f86,axiom,(
% 54.74/7.64 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil != U=> tl(app(U,V)) = app(tl(U),V) ) ) )) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f96,conjecture,(
% 54.74/7.64 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( nil != W& nil = X )| ( (! [Y] :( ssItem(Y)=> (! [Z] :( ~ ssList(Z)| app(cons(Y,nil),Z) != X| app(Z,cons(Y,nil)) != W ) )))& neq(X,nil) )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [X1] :( ssList(X1)& U = X1& (? [X2] :( ssList(X2)& (? [X3] :( ssList(X3)& tl(V) = X2& app(X2,X3) = X1& (? [X4] :( ssItem(X4)& cons(X4,nil) = X3& hd(V) = X4& neq(nil,V) ))& neq(nil,V) ) )) )) )) ) ) )) )) )) )),
% 54.74/7.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 54.74/7.64 fof(f97,negated_conjecture,(
% 54.74/7.64 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( nil != W& nil = X )| ( (! [Y] :( ssItem(Y)=> (! [Z] :( ~ ssList(Z)| app(cons(Y,nil),Z) != X| app(Z,cons(Y,nil)) != W ) )))& neq(X,nil) )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [X1] :( ssList(X1)& U = X1& (? [X2] :( ssList(X2)& (? [X3] :( ssList(X3)& tl(V) = X2& app(X2,X3) = X1& (? [X4] :( ssItem(X4)& cons(X4,nil) = X3& hd(V) = X4& neq(nil,V) ))& neq(nil,V) ) )) )) )) ) ) )) )) )) ))),
% 54.74/7.64 inference(negated_conjecture,[status(cth)],[f96])).
% 54.74/7.64 fof(f98,plain,(
% 54.74/7.64 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 54.74/7.64 fof(f99,plain,(
% 54.74/7.64 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 54.74/7.64 inference(NNF_transformation,[status(thm)],[f98])).
% 54.74/7.64 fof(f100,plain,(
% 54.74/7.64 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f99])).
% 54.74/7.64 fof(f101,plain,(
% 54.74/7.64 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f99])).
% 54.74/7.64 fof(f102,plain,(
% 54.74/7.64 (ssItem(sK0_skl)&(ssItem(sK1_skl)&~sK0_skl=sK1_skl))),
% 54.74/7.64 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl)],[f2])).
% 54.74/7.64 fof(f103,plain,(
% 54.74/7.64 ssItem(sK0_skl)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f102])).
% 54.74/7.64 fof(f104,plain,(
% 54.74/7.64 ssItem(sK1_skl)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f102])).
% 54.74/7.64 fof(f105,plain,(
% 54.74/7.64 ~sK0_skl=sK1_skl),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f102])).
% 54.74/7.64 fof(f150,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(totalorderP(U)<=>(![V]: (~ssItem(V)|(![W]: (~ssItem(W)|(![X]: (~ssList(X)|(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(~app(app(X,cons(V,Y)),cons(W,Z))=U|(leq(V,W)|leq(W,V)))))))))))))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 54.74/7.64 fof(f151,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|((~totalorderP(U)|(![V]: (~ssItem(V)|(![W]: (~ssItem(W)|(![X]: (~ssList(X)|(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(~app(app(X,cons(V,Y)),cons(W,Z))=U|(leq(V,W)|leq(W,V))))))))))))))&(totalorderP(U)|(?[V]: (ssItem(V)&(?[W]: (ssItem(W)&(?[X]: (ssList(X)&(?[Y]: (ssList(Y)&(?[Z]: (ssList(Z)&(app(app(X,cons(V,Y)),cons(W,Z))=U&(~leq(V,W)&~leq(W,V))))))))))))))))),
% 54.74/7.64 inference(NNF_transformation,[status(thm)],[f150])).
% 54.74/7.64 fof(f152,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|((~totalorderP(U)|(![V]: (~ssItem(V)|(![W]: (~ssItem(W)|(![X]: (~ssList(X)|(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(~app(app(X,cons(V,Y)),cons(W,Z))=U|(leq(V,W)|leq(W,V))))))))))))))&(totalorderP(U)|(ssItem(sK14_skl(U))&(ssItem(sK15_skl(U))&(ssList(sK16_skl(U))&(ssList(sK17_skl(U))&(ssList(sK18_skl(U))&(app(app(sK16_skl(U),cons(sK14_skl(U),sK17_skl(U))),cons(sK15_skl(U),sK18_skl(U)))=U&(~leq(sK14_skl(U),sK15_skl(U))&~leq(sK15_skl(U),sK14_skl(U))))))))))))),
% 54.74/7.64 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl,sK17_skl,sK18_skl]),skolemize(V,sK14_skl(U)),skolemize(W,sK15_skl(U)),skolemize(X,sK16_skl(U)),skolemize(Y,sK17_skl(U)),skolemize(Z,sK18_skl(U))],[f151])).
% 54.74/7.64 fof(f154,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|totalorderP(X0)|ssItem(sK14_skl(X0)))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f152])).
% 54.74/7.64 fof(f155,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|totalorderP(X0)|ssItem(sK15_skl(X0)))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f152])).
% 54.74/7.64 fof(f156,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|totalorderP(X0)|ssList(sK16_skl(X0)))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f152])).
% 54.74/7.64 fof(f157,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|totalorderP(X0)|ssList(sK17_skl(X0)))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f152])).
% 54.74/7.64 fof(f158,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|totalorderP(X0)|ssList(sK18_skl(X0)))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f152])).
% 54.74/7.64 fof(f174,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(totalorderedP(U)<=>(![V]: (~ssItem(V)|(![W]: (~ssItem(W)|(![X]: (~ssList(X)|(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(~app(app(X,cons(V,Y)),cons(W,Z))=U|leq(V,W))))))))))))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 54.74/7.64 fof(f175,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|((~totalorderedP(U)|(![V]: (~ssItem(V)|(![W]: (~ssItem(W)|(![X]: (~ssList(X)|(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(~app(app(X,cons(V,Y)),cons(W,Z))=U|leq(V,W)))))))))))))&(totalorderedP(U)|(?[V]: (ssItem(V)&(?[W]: (ssItem(W)&(?[X]: (ssList(X)&(?[Y]: (ssList(Y)&(?[Z]: (ssList(Z)&(app(app(X,cons(V,Y)),cons(W,Z))=U&~leq(V,W)))))))))))))))),
% 54.74/7.64 inference(NNF_transformation,[status(thm)],[f174])).
% 54.74/7.64 fof(f176,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|((~totalorderedP(U)|(![V]: (~ssItem(V)|(![W]: (~ssItem(W)|(![X]: (~ssList(X)|(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(~app(app(X,cons(V,Y)),cons(W,Z))=U|leq(V,W)))))))))))))&(totalorderedP(U)|(ssItem(sK24_skl(U))&(ssItem(sK25_skl(U))&(ssList(sK26_skl(U))&(ssList(sK27_skl(U))&(ssList(sK28_skl(U))&(app(app(sK26_skl(U),cons(sK24_skl(U),sK27_skl(U))),cons(sK25_skl(U),sK28_skl(U)))=U&~leq(sK24_skl(U),sK25_skl(U)))))))))))),
% 54.74/7.64 inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl]),skolemize(V,sK24_skl(U)),skolemize(W,sK25_skl(U)),skolemize(X,sK26_skl(U)),skolemize(Y,sK27_skl(U)),skolemize(Z,sK28_skl(U))],[f175])).
% 54.74/7.64 fof(f178,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|totalorderedP(X0)|ssItem(sK24_skl(X0)))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f176])).
% 54.74/7.64 fof(f179,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|totalorderedP(X0)|ssItem(sK25_skl(X0)))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f176])).
% 54.74/7.64 fof(f180,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|totalorderedP(X0)|ssList(sK26_skl(X0)))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f176])).
% 54.74/7.64 fof(f181,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|totalorderedP(X0)|ssList(sK27_skl(X0)))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f176])).
% 54.74/7.64 fof(f182,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|totalorderedP(X0)|ssList(sK28_skl(X0)))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f176])).
% 54.74/7.64 fof(f183,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|totalorderedP(X0)|app(app(sK26_skl(X0),cons(sK24_skl(X0),sK27_skl(X0))),cons(sK25_skl(X0),sK28_skl(X0)))=X0)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f176])).
% 54.74/7.64 fof(f217,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 54.74/7.64 fof(f218,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 54.74/7.64 inference(NNF_transformation,[status(thm)],[f217])).
% 54.74/7.64 fof(f219,plain,(
% 54.74/7.64 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f218])).
% 54.74/7.64 fof(f220,plain,(
% 54.74/7.64 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f218])).
% 54.74/7.64 fof(f221,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 54.74/7.64 fof(f222,plain,(
% 54.74/7.64 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f221])).
% 54.74/7.64 fof(f223,plain,(
% 54.74/7.64 ssList(nil)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f17])).
% 54.74/7.64 fof(f226,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssItem(W)|(![X]: (~ssItem(X)|(~cons(W,U)=cons(X,V)|(W=X&V=U)))))))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 54.74/7.64 fof(f227,plain,(
% 54.74/7.64 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X2=X3)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f226])).
% 54.74/7.64 fof(f234,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~nil=cons(V,U))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 54.74/7.64 fof(f235,plain,(
% 54.74/7.64 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~nil=cons(X1,X0))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f234])).
% 54.74/7.64 fof(f236,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(nil=U|ssItem(hd(U))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 54.74/7.64 fof(f237,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|nil=X0|ssItem(hd(X0)))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f236])).
% 54.74/7.64 fof(f238,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|hd(cons(V,U))=V)))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 54.74/7.64 fof(f239,plain,(
% 54.74/7.64 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|hd(cons(X1,X0))=X1)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f238])).
% 54.74/7.64 fof(f240,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(nil=U|ssList(tl(U))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 54.74/7.64 fof(f241,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|nil=X0|ssList(tl(X0)))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f240])).
% 54.74/7.64 fof(f242,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|tl(cons(V,U))=U)))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 54.74/7.64 fof(f243,plain,(
% 54.74/7.64 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|tl(cons(X1,X0))=X0)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f242])).
% 54.74/7.64 fof(f248,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|app(nil,U)=U)),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 54.74/7.64 fof(f249,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f248])).
% 54.74/7.64 fof(f268,plain,(
% 54.74/7.64 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(memberP(app(V,W),U)<=>(memberP(V,U)|memberP(W,U))))))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 54.74/7.64 fof(f269,plain,(
% 54.74/7.64 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~memberP(app(V,W),U)|(memberP(V,U)|memberP(W,U)))&(memberP(app(V,W),U)|(~memberP(V,U)&~memberP(W,U)))))))))),
% 54.74/7.64 inference(NNF_transformation,[status(thm)],[f268])).
% 54.74/7.64 fof(f270,plain,(
% 54.74/7.64 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~memberP(app(X1,X2),X0)|memberP(X1,X0)|memberP(X2,X0))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f269])).
% 54.74/7.64 fof(f373,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(nil=U|cons(hd(U),tl(U))=U))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f78])).
% 54.74/7.64 fof(f374,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|nil=X0|cons(hd(X0),tl(X0))=X0)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f373])).
% 54.74/7.64 fof(f375,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(W,V)=app(U,V)|W=U))))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f79])).
% 54.74/7.64 fof(f376,plain,(
% 54.74/7.64 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X2,X1)=app(X0,X1)|X2=X0)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f375])).
% 54.74/7.64 fof(f377,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(V,W)=app(V,U)|W=U))))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f80])).
% 54.74/7.64 fof(f378,plain,(
% 54.74/7.64 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X1,X2)=app(X1,X0)|X2=X0)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f377])).
% 54.74/7.64 fof(f379,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|cons(V,U)=app(cons(V,nil),U))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f81])).
% 54.74/7.64 fof(f380,plain,(
% 54.74/7.64 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|cons(X1,X0)=app(cons(X1,nil),X0))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f379])).
% 54.74/7.64 fof(f392,plain,(
% 54.74/7.64 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=U|tl(app(U,V))=app(tl(U),V)))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f86])).
% 54.74/7.64 fof(f393,plain,(
% 54.74/7.64 ![X0,X1]: (~ssList(X0)|~ssList(X1)|nil=X0|tl(app(X0,X1))=app(tl(X0),X1))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f392])).
% 54.74/7.64 fof(f415,plain,(
% 54.74/7.64 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((((ssList(X)&V=X)&U=W)&(nil=W|~nil=X))&((?[Y]: (ssItem(Y)&(?[Z]: ((ssList(Z)&app(cons(Y,nil),Z)=X)&app(Z,cons(Y,nil))=W))))|~neq(X,nil)))&((nil=V&~nil=U)|(neq(V,nil)&(![X1]: ((~ssList(X1)|~U=X1)|(![X2]: (~ssList(X2)|(![X3]: ((((~ssList(X3)|~tl(V)=X2)|~app(X2,X3)=X1)|(![X4]: (((~ssItem(X4)|~cons(X4,nil)=X3)|~hd(V)=X4)|~neq(nil,V))))|~neq(nil,V)))))))))))))))))),
% 54.74/7.64 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 54.74/7.64 fof(f416,definition,(
% 54.74/7.64 ![U,V]: (sP0_prd(V,U)<=>(nil=V&~nil=U))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 54.74/7.64 fof(f417,plain,(
% 54.74/7.64 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((((ssList(X)&V=X)&U=W)&(nil=W|~nil=X))&((?[Y]: (ssItem(Y)&(?[Z]: ((ssList(Z)&app(cons(Y,nil),Z)=X)&app(Z,cons(Y,nil))=W))))|~neq(X,nil)))&(sP0_prd(V,U)|(neq(V,nil)&(![X1]: ((~ssList(X1)|~U=X1)|(![X2]: (~ssList(X2)|(![X3]: ((((~ssList(X3)|~tl(V)=X2)|~app(X2,X3)=X1)|(![X4]: (((~ssItem(X4)|~cons(X4,nil)=X3)|~hd(V)=X4)|~neq(nil,V))))|~neq(nil,V))))))))))))))))),
% 54.74/7.64 inference(formula_renaming,[status(thm)],[f415,f416])).
% 54.74/7.64 fof(f418,plain,(
% 54.74/7.64 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&((?[X]: ((((ssList(X)&V=X)&U=W)&(nil=W|~nil=X))&((?[Y]: (ssItem(Y)&(?[Z]: ((ssList(Z)&app(cons(Y,nil),Z)=X)&app(Z,cons(Y,nil))=W))))|~neq(X,nil))))&(sP0_prd(V,U)|(neq(V,nil)&(![X1]: ((~ssList(X1)|~U=X1)|(![X2]: (~ssList(X2)|((![X3]: (((~ssList(X3)|~tl(V)=X2)|~app(X2,X3)=X1)|((![X4]: ((~ssItem(X4)|~cons(X4,nil)=X3)|~hd(V)=X4))|~neq(nil,V))))|~neq(nil,V))))))))))))))),
% 54.74/7.64 inference(miniscoping,[status(thm)],[f417])).
% 54.74/7.64 fof(f419,plain,(
% 54.74/7.64 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(((((ssList(sK50_skl)&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&(nil=sK49_skl|~nil=sK50_skl))&((ssItem(sK51_skl)&((ssList(sK52_skl)&app(cons(sK51_skl,nil),sK52_skl)=sK50_skl)&app(sK52_skl,cons(sK51_skl,nil))=sK49_skl))|~neq(sK50_skl,nil)))&(sP0_prd(sK48_skl,sK47_skl)|(neq(sK48_skl,nil)&(![X1]: ((~ssList(X1)|~sK47_skl=X1)|(![X2]: (~ssList(X2)|((![X3]: (((~ssList(X3)|~tl(sK48_skl)=X2)|~app(X2,X3)=X1)|((![X4]: ((~ssItem(X4)|~cons(X4,nil)=X3)|~hd(sK48_skl)=X4))|~neq(nil,sK48_skl))))|~neq(nil,sK48_skl))))))))))))),
% 54.74/7.64 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl,sK52_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Y,sK51_skl),skolemize(Z,sK52_skl)],[f418])).
% 54.74/7.64 fof(f420,plain,(
% 54.74/7.64 ssList(sK47_skl)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f419])).
% 54.74/7.64 fof(f421,plain,(
% 54.74/7.64 ssList(sK48_skl)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f419])).
% 54.74/7.64 fof(f422,plain,(
% 54.74/7.64 ssList(sK49_skl)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f419])).
% 54.74/7.64 fof(f424,plain,(
% 54.74/7.64 sK48_skl=sK50_skl),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f419])).
% 54.74/7.64 fof(f425,plain,(
% 54.74/7.64 sK47_skl=sK49_skl),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f419])).
% 54.74/7.64 fof(f426,plain,(
% 54.74/7.64 nil=sK49_skl|~nil=sK50_skl),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f419])).
% 54.74/7.64 fof(f427,plain,(
% 54.74/7.64 ssItem(sK51_skl)|~neq(sK50_skl,nil)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f419])).
% 54.74/7.64 fof(f428,plain,(
% 54.74/7.64 ssList(sK52_skl)|~neq(sK50_skl,nil)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f419])).
% 54.74/7.64 fof(f429,plain,(
% 54.74/7.64 app(cons(sK51_skl,nil),sK52_skl)=sK50_skl|~neq(sK50_skl,nil)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f419])).
% 54.74/7.64 fof(f430,plain,(
% 54.74/7.64 app(sK52_skl,cons(sK51_skl,nil))=sK49_skl|~neq(sK50_skl,nil)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f419])).
% 54.74/7.64 fof(f431,plain,(
% 54.74/7.64 sP0_prd(sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f419])).
% 54.74/7.64 fof(f432,plain,(
% 54.74/7.64 ![X0,X1,X2,X3]: (sP0_prd(sK48_skl,sK47_skl)|~ssList(X0)|~sK47_skl=X0|~ssList(X1)|~ssList(X2)|~tl(sK48_skl)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sK48_skl)=X3|~neq(nil,sK48_skl)|~neq(nil,sK48_skl))),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f419])).
% 54.74/7.64 fof(f433,plain,(
% 54.74/7.64 ![U,V]: ((~sP0_prd(V,U)|(nil=V&~nil=U))&(sP0_prd(V,U)|(~nil=V|nil=U)))),
% 54.74/7.64 inference(NNF_transformation,[status(thm)],[f416])).
% 54.74/7.64 fof(f434,plain,(
% 54.74/7.64 (![U,V]: (~sP0_prd(V,U)|(nil=V&~nil=U)))&(![U,V]: (sP0_prd(V,U)|(~nil=V|nil=U)))),
% 54.74/7.64 inference(miniscoping,[status(thm)],[f433])).
% 54.74/7.64 fof(f435,plain,(
% 54.74/7.64 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f434])).
% 54.74/7.64 fof(f436,plain,(
% 54.74/7.64 ![X0,X1]: (~sP0_prd(X0,X1)|~nil=X1)),
% 54.74/7.64 inference(cnf_transformation,[status(thm)],[f434])).
% 54.74/7.64 fof(f438,definition,(
% 54.74/7.64 sQ0_spl <=> (nil=sK49_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f439,plain,(
% 54.74/7.64 nil=sK49_skl|~sQ0_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f438])).
% 54.74/7.64 fof(f441,definition,(
% 54.74/7.64 sQ1_spl <=> (nil=sK50_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f443,plain,(
% 54.74/7.64 ~nil=sK50_skl|sQ1_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f441])).
% 54.74/7.64 fof(f444,plain,(
% 54.74/7.64 sQ0_spl|~sQ1_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f426,f438,f441])).
% 54.74/7.64 fof(f445,definition,(
% 54.74/7.64 sQ2_spl <=> (ssItem(sK51_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f446,plain,(
% 54.74/7.64 ssItem(sK51_skl)|~sQ2_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f445])).
% 54.74/7.64 fof(f448,definition,(
% 54.74/7.64 sQ3_spl <=> (neq(sK50_skl,nil))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f450,plain,(
% 54.74/7.64 ~neq(sK50_skl,nil)|sQ3_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f448])).
% 54.74/7.64 fof(f451,plain,(
% 54.74/7.64 sQ2_spl|~sQ3_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f427,f445,f448])).
% 54.74/7.64 fof(f452,definition,(
% 54.74/7.64 sQ4_spl <=> (ssList(sK52_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f453,plain,(
% 54.74/7.64 ssList(sK52_skl)|~sQ4_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f452])).
% 54.74/7.64 fof(f455,plain,(
% 54.74/7.64 sQ4_spl|~sQ3_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f428,f452,f448])).
% 54.74/7.64 fof(f456,definition,(
% 54.74/7.64 sQ5_spl <=> (app(cons(sK51_skl,nil),sK52_skl)=sK50_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f457,plain,(
% 54.74/7.64 app(cons(sK51_skl,nil),sK52_skl)=sK50_skl|~sQ5_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f456])).
% 54.74/7.64 fof(f459,plain,(
% 54.74/7.64 sQ5_spl|~sQ3_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f429,f456,f448])).
% 54.74/7.64 fof(f460,definition,(
% 54.74/7.64 sQ6_spl <=> (app(sK52_skl,cons(sK51_skl,nil))=sK49_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f461,plain,(
% 54.74/7.64 app(sK52_skl,cons(sK51_skl,nil))=sK49_skl|~sQ6_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f460])).
% 54.74/7.64 fof(f463,plain,(
% 54.74/7.64 sQ6_spl|~sQ3_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f430,f460,f448])).
% 54.74/7.64 fof(f464,definition,(
% 54.74/7.64 sQ7_spl <=> (sP0_prd(sK48_skl,sK47_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f465,plain,(
% 54.74/7.64 sP0_prd(sK48_skl,sK47_skl)|~sQ7_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f464])).
% 54.74/7.64 fof(f467,definition,(
% 54.74/7.64 sQ8_spl <=> (neq(sK48_skl,nil))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f468,plain,(
% 54.74/7.64 neq(sK48_skl,nil)|~sQ8_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f467])).
% 54.74/7.64 fof(f470,plain,(
% 54.74/7.64 sQ7_spl|sQ8_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f431,f464,f467])).
% 54.74/7.64 fof(f471,definition,(
% 54.74/7.64 ![X0,X1,X2,X3]: (sQ9_spl <=> (~ssList(X0)|~sK47_skl=X0|~ssList(X1)|~ssList(X2)|~tl(sK48_skl)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sK48_skl)=X3))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f472,plain,(
% 54.74/7.64 ![X0,X1,X2,X3]: (~ssList(X0)|~sK47_skl=X0|~ssList(X1)|~ssList(X2)|~tl(sK48_skl)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sK48_skl)=X3|~sQ9_spl)),
% 54.74/7.64 inference(component_clause,[status(thm)],[f471])).
% 54.74/7.64 fof(f474,definition,(
% 54.74/7.64 sQ10_spl <=> (neq(nil,sK48_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f476,plain,(
% 54.74/7.64 ~neq(nil,sK48_skl)|sQ10_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f474])).
% 54.74/7.64 fof(f477,plain,(
% 54.74/7.64 sQ7_spl|sQ9_spl|~sQ10_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f432,f464,f471,f474])).
% 54.74/7.64 fof(f478,plain,(
% 54.74/7.64 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 54.74/7.64 inference(destructive_equality_resolution,[status(thm)],[f100])).
% 54.74/7.64 fof(f479,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 54.74/7.64 inference(duplicate_literals_removal,[status(thm)],[f478])).
% 54.74/7.64 fof(f493,plain,(
% 54.74/7.64 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 54.74/7.64 inference(destructive_equality_resolution,[status(thm)],[f219])).
% 54.74/7.64 fof(f494,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 54.74/7.64 inference(duplicate_literals_removal,[status(thm)],[f493])).
% 54.74/7.64 fof(f508,plain,(
% 54.74/7.64 ![X0]: (~sP0_prd(X0,nil))),
% 54.74/7.64 inference(destructive_equality_resolution,[status(thm)],[f436])).
% 54.74/7.64 fof(f524,plain,(
% 54.74/7.64 app(nil,sK48_skl)=sK48_skl),
% 54.74/7.64 inference(resolution,[status(thm)],[f249,f421])).
% 54.74/7.64 fof(f527,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|neq(sK48_skl,X0)|sK48_skl=X0)),
% 54.74/7.64 inference(resolution,[status(thm)],[f220,f421])).
% 54.74/7.64 fof(f528,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|neq(sK47_skl,X0)|sK47_skl=X0)),
% 54.74/7.64 inference(resolution,[status(thm)],[f220,f420])).
% 54.74/7.64 fof(f529,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|neq(sK0_skl,X0)|sK0_skl=X0)),
% 54.74/7.64 inference(resolution,[status(thm)],[f103,f101])).
% 54.74/7.64 fof(f530,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|neq(sK1_skl,X0)|sK1_skl=X0)),
% 54.74/7.64 inference(resolution,[status(thm)],[f104,f101])).
% 54.74/7.64 fof(f533,plain,(
% 54.74/7.64 nil=sK47_skl|cons(hd(sK47_skl),tl(sK47_skl))=sK47_skl),
% 54.74/7.64 inference(resolution,[status(thm)],[f374,f420])).
% 54.74/7.64 fof(f538,definition,(
% 54.74/7.64 sQ12_spl <=> (nil=sK48_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f539,plain,(
% 54.74/7.64 nil=sK48_skl|~sQ12_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f538])).
% 54.74/7.64 fof(f541,definition,(
% 54.74/7.64 sQ13_spl <=> (cons(hd(sK48_skl),tl(sK48_skl))=sK48_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f542,plain,(
% 54.74/7.64 cons(hd(sK48_skl),tl(sK48_skl))=sK48_skl|~sQ13_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f541])).
% 54.74/7.64 fof(f543,plain,(
% 54.74/7.64 ~cons(hd(sK48_skl),tl(sK48_skl))=sK48_skl|sQ13_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f541])).
% 54.74/7.64 fof(f545,definition,(
% 54.74/7.64 sQ14_spl <=> (nil=sK47_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f546,plain,(
% 54.74/7.64 nil=sK47_skl|~sQ14_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f545])).
% 54.74/7.64 fof(f548,definition,(
% 54.74/7.64 sQ15_spl <=> (cons(hd(sK47_skl),tl(sK47_skl))=sK47_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f551,plain,(
% 54.74/7.64 sQ14_spl|sQ15_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f533,f545,f548])).
% 54.74/7.64 fof(f561,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|nil=X0|tl(app(X0,sK49_skl))=app(tl(X0),sK49_skl))),
% 54.74/7.64 inference(resolution,[status(thm)],[f393,f422])).
% 54.74/7.64 fof(f565,plain,(
% 54.74/7.64 sK47_skl=nil|~sQ0_spl),
% 54.74/7.64 inference(backward_demodulation,[status(thm)],[f439,f425])).
% 54.74/7.64 fof(f588,definition,(
% 54.74/7.64 sQ16_spl <=> (neq(nil,sK47_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f589,plain,(
% 54.74/7.64 neq(nil,sK47_skl)|~sQ16_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f588])).
% 54.74/7.64 fof(f592,plain,(
% 54.74/7.64 ~nil=sK48_skl|sQ1_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f424,f443])).
% 54.74/7.64 fof(f593,plain,(
% 54.74/7.64 neq(sK48_skl,sK48_skl)|sK48_skl=sK48_skl),
% 54.74/7.64 inference(resolution,[status(thm)],[f527,f421])).
% 54.74/7.64 fof(f595,definition,(
% 54.74/7.64 sQ17_spl <=> (neq(sK48_skl,sK48_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f596,plain,(
% 54.74/7.64 neq(sK48_skl,sK48_skl)|~sQ17_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f595])).
% 54.74/7.64 fof(f598,definition,(
% 54.74/7.64 sQ18_spl <=> (sK48_skl=sK48_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f601,plain,(
% 54.74/7.64 sQ17_spl|sQ18_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f593,f595,f598])).
% 54.74/7.64 fof(f605,definition,(
% 54.74/7.64 sQ20_spl <=> (sK48_skl=sK47_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f606,plain,(
% 54.74/7.64 sK48_skl=sK47_skl|~sQ20_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f605])).
% 54.74/7.64 fof(f609,plain,(
% 54.74/7.64 neq(sK47_skl,sK48_skl)|sK47_skl=sK48_skl),
% 54.74/7.64 inference(resolution,[status(thm)],[f528,f421])).
% 54.74/7.64 fof(f611,definition,(
% 54.74/7.64 sQ21_spl <=> (neq(sK47_skl,sK48_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f612,plain,(
% 54.74/7.64 neq(sK47_skl,sK48_skl)|~sQ21_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f611])).
% 54.74/7.64 fof(f614,plain,(
% 54.74/7.64 sQ21_spl|sQ20_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f609,f611,f605])).
% 54.74/7.64 fof(f622,plain,(
% 54.74/7.64 neq(sK0_skl,sK1_skl)|sK0_skl=sK1_skl),
% 54.74/7.64 inference(resolution,[status(thm)],[f529,f104])).
% 54.74/7.64 fof(f623,plain,(
% 54.74/7.64 neq(sK0_skl,sK0_skl)|sK0_skl=sK0_skl),
% 54.74/7.64 inference(resolution,[status(thm)],[f529,f103])).
% 54.74/7.64 fof(f624,definition,(
% 54.74/7.64 sQ24_spl <=> (neq(sK0_skl,sK1_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f627,definition,(
% 54.74/7.64 sQ25_spl <=> (sK0_skl=sK1_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f628,plain,(
% 54.74/7.64 sK0_skl=sK1_skl|~sQ25_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f627])).
% 54.74/7.64 fof(f630,plain,(
% 54.74/7.64 sQ24_spl|sQ25_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f622,f624,f627])).
% 54.74/7.64 fof(f631,definition,(
% 54.74/7.64 sQ26_spl <=> (neq(sK0_skl,sK0_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f632,plain,(
% 54.74/7.64 neq(sK0_skl,sK0_skl)|~sQ26_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f631])).
% 54.74/7.64 fof(f634,definition,(
% 54.74/7.64 sQ27_spl <=> (sK0_skl=sK0_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f637,plain,(
% 54.74/7.64 sQ26_spl|sQ27_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f623,f631,f634])).
% 54.74/7.64 fof(f639,plain,(
% 54.74/7.64 neq(sK48_skl,nil)|sK48_skl=nil),
% 54.74/7.64 inference(resolution,[status(thm)],[f223,f527])).
% 54.74/7.64 fof(f643,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|cons(X0,nil)=app(cons(X0,nil),nil))),
% 54.74/7.64 inference(resolution,[status(thm)],[f223,f380])).
% 54.74/7.64 fof(f645,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|neq(nil,X0)|nil=X0)),
% 54.74/7.64 inference(resolution,[status(thm)],[f223,f220])).
% 54.74/7.64 fof(f650,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|ssList(cons(X0,nil)))),
% 54.74/7.64 inference(resolution,[status(thm)],[f223,f222])).
% 54.74/7.64 fof(f655,plain,(
% 54.74/7.64 sQ8_spl|sQ12_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f639,f467,f538])).
% 54.74/7.64 fof(f656,definition,(
% 54.74/7.64 sQ29_spl <=> (nil=nil)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f663,plain,(
% 54.74/7.64 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X1=X1)),
% 54.74/7.64 inference(equality_resolution,[status(thm)],[f227])).
% 54.74/7.64 fof(f664,definition,(
% 54.74/7.64 ![X0]: (sQ31_spl <=> (~ssList(X0)|~ssList(X0)))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f665,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|~ssList(X0)|~sQ31_spl)),
% 54.74/7.64 inference(component_clause,[status(thm)],[f664])).
% 54.74/7.64 fof(f667,definition,(
% 54.74/7.64 ![X1]: (sQ32_spl <=> (~ssItem(X1)|~ssItem(X1)|X1=X1))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f670,plain,(
% 54.74/7.64 sQ31_spl|sQ32_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f663,f664,f667])).
% 54.74/7.64 fof(f671,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|~sQ31_spl)),
% 54.74/7.64 inference(duplicate_literals_removal,[status(thm)],[f665])).
% 54.74/7.64 fof(f672,plain,(
% 54.74/7.64 neq(sK1_skl,sK1_skl)|sK1_skl=sK1_skl),
% 54.74/7.64 inference(resolution,[status(thm)],[f530,f104])).
% 54.74/7.64 fof(f673,plain,(
% 54.74/7.64 neq(sK1_skl,sK0_skl)|sK1_skl=sK0_skl),
% 54.74/7.64 inference(resolution,[status(thm)],[f530,f103])).
% 54.74/7.64 fof(f674,definition,(
% 54.74/7.64 sQ33_spl <=> (neq(sK1_skl,sK1_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f675,plain,(
% 54.74/7.64 neq(sK1_skl,sK1_skl)|~sQ33_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f674])).
% 54.74/7.64 fof(f677,definition,(
% 54.74/7.64 sQ34_spl <=> (sK1_skl=sK1_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f680,plain,(
% 54.74/7.64 sQ33_spl|sQ34_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f672,f674,f677])).
% 54.74/7.64 fof(f681,definition,(
% 54.74/7.64 sQ35_spl <=> (neq(sK1_skl,sK0_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f684,plain,(
% 54.74/7.64 sQ35_spl|sQ25_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f673,f681,f627])).
% 54.74/7.64 fof(f685,plain,(
% 54.74/7.64 $false|~sQ25_spl),
% 54.74/7.64 inference(forward_subsumption_resolution,[status(thm)],[f628,f105])).
% 54.74/7.64 fof(f686,plain,(
% 54.74/7.64 ~sQ25_spl),
% 54.74/7.64 inference(contradiction_clause,[status(thm)],[f685])).
% 54.74/7.64 fof(f742,plain,(
% 54.74/7.64 ~nil=nil|~sQ12_spl|sQ1_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f539,f592])).
% 54.74/7.64 fof(f743,plain,(
% 54.74/7.64 $false|~sQ12_spl|sQ1_spl),
% 54.74/7.64 inference(trivial_equality_resolution,[status(thm)],[f742])).
% 54.74/7.64 fof(f744,plain,(
% 54.74/7.64 ~sQ12_spl|sQ1_spl),
% 54.74/7.64 inference(contradiction_clause,[status(thm)],[f743])).
% 54.74/7.64 fof(f756,definition,(
% 54.74/7.64 ![X0]: (sQ39_spl <=> (~ssList(X0)|~ssList(X0)|X0=X0))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f759,definition,(
% 54.74/7.64 ![X1]: (sQ40_spl <=> (~ssItem(X1)|~ssItem(X1)))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f760,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|~ssItem(X0)|~sQ40_spl)),
% 54.74/7.64 inference(component_clause,[status(thm)],[f759])).
% 54.74/7.64 fof(f772,plain,(
% 54.74/7.64 nil=sK49_skl|~sQ14_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f546,f425])).
% 54.74/7.64 fof(f782,plain,(
% 54.74/7.64 sK48_skl=nil|~sQ14_spl|~sQ20_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f546,f606])).
% 54.74/7.64 fof(f790,plain,(
% 54.74/7.64 sQ14_spl|~sQ0_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f565,f545,f438])).
% 54.74/7.64 fof(f792,plain,(
% 54.74/7.64 ~ssItem(sK0_skl)|~sQ26_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f632,f479])).
% 54.74/7.64 fof(f793,plain,(
% 54.74/7.64 $false|~sQ26_spl),
% 54.74/7.64 inference(forward_subsumption_resolution,[status(thm)],[f792,f103])).
% 54.74/7.64 fof(f794,plain,(
% 54.74/7.64 ~sQ26_spl),
% 54.74/7.64 inference(contradiction_clause,[status(thm)],[f793])).
% 54.74/7.64 fof(f818,plain,(
% 54.74/7.64 $false|~sQ31_spl),
% 54.74/7.64 inference(backward_subsumption_resolution,[status(thm)],[f223,f671])).
% 54.74/7.64 fof(f819,plain,(
% 54.74/7.64 ~sQ31_spl),
% 54.74/7.64 inference(contradiction_clause,[status(thm)],[f818])).
% 54.74/7.64 fof(f820,plain,(
% 54.74/7.64 ~ssItem(sK1_skl)|~sQ33_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f675,f479])).
% 54.74/7.64 fof(f821,plain,(
% 54.74/7.64 $false|~sQ33_spl),
% 54.74/7.64 inference(forward_subsumption_resolution,[status(thm)],[f820,f104])).
% 54.74/7.64 fof(f822,plain,(
% 54.74/7.64 ~sQ33_spl),
% 54.74/7.64 inference(contradiction_clause,[status(thm)],[f821])).
% 54.74/7.64 fof(f831,plain,(
% 54.74/7.64 nil=sK48_skl|ssList(tl(sK48_skl))),
% 54.74/7.64 inference(resolution,[status(thm)],[f421,f241])).
% 54.74/7.64 fof(f832,plain,(
% 54.74/7.64 nil=sK48_skl|ssItem(hd(sK48_skl))),
% 54.74/7.64 inference(resolution,[status(thm)],[f421,f237])).
% 54.74/7.64 fof(f838,definition,(
% 54.74/7.64 sQ44_spl <=> (ssList(tl(sK48_skl)))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f840,plain,(
% 54.74/7.64 ~ssList(tl(sK48_skl))|sQ44_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f838])).
% 54.74/7.64 fof(f841,plain,(
% 54.74/7.64 sQ12_spl|sQ44_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f831,f538,f838])).
% 54.74/7.64 fof(f842,definition,(
% 54.74/7.64 sQ45_spl <=> (ssItem(hd(sK48_skl)))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f843,plain,(
% 54.74/7.64 ssItem(hd(sK48_skl))|~sQ45_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f842])).
% 54.74/7.64 fof(f844,plain,(
% 54.74/7.64 ~ssItem(hd(sK48_skl))|sQ45_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f842])).
% 54.74/7.64 fof(f845,plain,(
% 54.74/7.64 sQ12_spl|sQ45_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f832,f538,f842])).
% 54.74/7.64 fof(f853,definition,(
% 54.74/7.64 sQ46_spl <=> (ssList(sK48_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f855,plain,(
% 54.74/7.64 ~ssList(sK48_skl)|sQ46_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f853])).
% 54.74/7.64 fof(f871,plain,(
% 54.74/7.64 ~neq(sK48_skl,nil)|sQ3_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f424,f450])).
% 54.74/7.64 fof(f936,plain,(
% 54.74/7.64 sP0_prd(sK47_skl,sK47_skl)|~sQ20_spl|~sQ7_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f606,f465])).
% 54.74/7.64 fof(f937,plain,(
% 54.74/7.64 nil=sK47_skl|~sQ20_spl|~sQ7_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f936,f435])).
% 54.74/7.64 fof(f953,plain,(
% 54.74/7.64 sK47_skl=nil|~sQ0_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f439,f425])).
% 54.74/7.64 fof(f960,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|~sQ40_spl)),
% 54.74/7.64 inference(duplicate_literals_removal,[status(thm)],[f760])).
% 54.74/7.64 fof(f961,plain,(
% 54.74/7.64 ~ssList(sK47_skl)|~ssList(tl(sK48_skl))|~ssList(cons(hd(sK48_skl),nil))|~app(tl(sK48_skl),cons(hd(sK48_skl),nil))=sK47_skl|~ssItem(hd(sK48_skl))|~sQ9_spl),
% 54.74/7.64 inference(destructive_equality_resolution,[status(thm)],[f472])).
% 54.74/7.64 fof(f992,definition,(
% 54.74/7.64 sQ66_spl <=> (ssList(sK47_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f994,plain,(
% 54.74/7.64 ~ssList(sK47_skl)|sQ66_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f992])).
% 54.74/7.64 fof(f1209,definition,(
% 54.74/7.64 sQ99_spl <=> (totalorderedP(sK48_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f1218,plain,(
% 54.74/7.64 $false|~sQ8_spl|sQ3_spl),
% 54.74/7.64 inference(forward_subsumption_resolution,[status(thm)],[f871,f468])).
% 54.74/7.64 fof(f1219,plain,(
% 54.74/7.64 ~sQ8_spl|sQ3_spl),
% 54.74/7.64 inference(contradiction_clause,[status(thm)],[f1218])).
% 54.74/7.64 fof(f1230,plain,(
% 54.74/7.64 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(X0)|X0=X0)),
% 54.74/7.64 inference(equality_resolution,[status(thm)],[f376])).
% 54.74/7.64 fof(f1256,definition,(
% 54.74/7.64 ![X1]: (sQ106_spl <=> (~ssList(X1)))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f1257,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|~sQ106_spl)),
% 54.74/7.64 inference(component_clause,[status(thm)],[f1256])).
% 54.74/7.64 fof(f1259,plain,(
% 54.74/7.64 sQ39_spl|sQ106_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f1230,f756,f1256])).
% 54.74/7.64 fof(f1331,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|nil=X0|tl(app(X0,sK48_skl))=app(tl(X0),sK48_skl))),
% 54.74/7.64 inference(resolution,[status(thm)],[f421,f393])).
% 54.74/7.64 fof(f1482,plain,(
% 54.74/7.64 $false|sQ46_spl),
% 54.74/7.64 inference(forward_subsumption_resolution,[status(thm)],[f855,f421])).
% 54.74/7.64 fof(f1483,plain,(
% 54.74/7.64 sQ46_spl),
% 54.74/7.64 inference(contradiction_clause,[status(thm)],[f1482])).
% 54.74/7.64 fof(f1597,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|nil=X0|tl(app(X0,sK47_skl))=app(tl(X0),sK49_skl))),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f425,f561])).
% 54.74/7.64 fof(f1598,plain,(
% 54.74/7.64 ![X0]: (~ssList(X0)|nil=X0|tl(app(X0,sK47_skl))=app(tl(X0),sK47_skl))),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f425,f1597])).
% 54.74/7.64 fof(f1740,plain,(
% 54.74/7.64 ~ssList(sK48_skl)|~sQ17_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f596,f494])).
% 54.74/7.64 fof(f1742,plain,(
% 54.74/7.64 ~sQ46_spl|~sQ17_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f1740,f853,f595])).
% 54.74/7.64 fof(f1743,plain,(
% 54.74/7.64 $false|sQ66_spl),
% 54.74/7.64 inference(forward_subsumption_resolution,[status(thm)],[f420,f994])).
% 54.74/7.64 fof(f1744,plain,(
% 54.74/7.64 sQ66_spl),
% 54.74/7.64 inference(contradiction_clause,[status(thm)],[f1743])).
% 54.74/7.64 fof(f1778,plain,(
% 54.74/7.64 cons(sK51_skl,nil)=app(cons(sK51_skl,nil),nil)|~sQ2_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f446,f643])).
% 54.74/7.64 fof(f1800,plain,(
% 54.74/7.64 nil=sK52_skl|tl(app(sK52_skl,sK47_skl))=app(tl(sK52_skl),sK47_skl)|~sQ4_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f453,f1598])).
% 54.74/7.64 fof(f1811,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|hd(cons(X0,sK52_skl))=X0|~sQ4_spl)),
% 54.74/7.64 inference(resolution,[status(thm)],[f453,f239])).
% 54.74/7.64 fof(f1812,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|tl(cons(X0,sK52_skl))=sK52_skl|~sQ4_spl)),
% 54.74/7.64 inference(resolution,[status(thm)],[f453,f243])).
% 54.74/7.64 fof(f1815,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|cons(X0,sK52_skl)=app(cons(X0,nil),sK52_skl)|~sQ4_spl)),
% 54.74/7.64 inference(resolution,[status(thm)],[f453,f380])).
% 54.74/7.64 fof(f1825,plain,(
% 54.74/7.64 nil=sK52_skl|ssList(tl(sK52_skl))|~sQ4_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f453,f241])).
% 54.74/7.64 fof(f1849,definition,(
% 54.74/7.64 sQ185_spl <=> (nil=sK52_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f1850,plain,(
% 54.74/7.64 nil=sK52_skl|~sQ185_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f1849])).
% 54.74/7.64 fof(f1852,definition,(
% 54.74/7.64 sQ186_spl <=> (tl(app(sK52_skl,sK47_skl))=app(tl(sK52_skl),sK47_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f1853,plain,(
% 54.74/7.64 tl(app(sK52_skl,sK47_skl))=app(tl(sK52_skl),sK47_skl)|~sQ186_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f1852])).
% 54.74/7.64 fof(f1855,plain,(
% 54.74/7.64 sQ185_spl|sQ186_spl|~sQ4_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f1800,f1849,f1852,f452])).
% 54.74/7.64 fof(f1899,definition,(
% 54.74/7.64 sQ198_spl <=> (ssList(tl(sK52_skl)))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f1900,plain,(
% 54.74/7.64 ssList(tl(sK52_skl))|~sQ198_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f1899])).
% 54.74/7.64 fof(f1902,plain,(
% 54.74/7.64 sQ185_spl|sQ198_spl|~sQ4_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f1825,f1849,f1899,f452])).
% 54.74/7.64 fof(f1907,plain,(
% 54.74/7.64 app(cons(sK51_skl,nil),sK52_skl)=sK48_skl|~sQ5_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f424,f457])).
% 54.74/7.64 fof(f1937,plain,(
% 54.74/7.64 app(sK52_skl,cons(sK51_skl,nil))=sK47_skl|~sQ6_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f425,f461])).
% 54.74/7.64 fof(f1967,plain,(
% 54.74/7.64 $false|~sQ106_spl),
% 54.74/7.64 inference(backward_subsumption_resolution,[status(thm)],[f421,f1257])).
% 54.74/7.64 fof(f1968,plain,(
% 54.74/7.64 ~sQ106_spl),
% 54.74/7.64 inference(contradiction_clause,[status(thm)],[f1967])).
% 54.74/7.64 fof(f1969,plain,(
% 54.74/7.64 sK47_skl=nil|~sQ0_spl),
% 54.74/7.64 inference(backward_demodulation,[status(thm)],[f439,f425])).
% 54.74/7.64 fof(f1981,plain,(
% 54.74/7.64 neq(nil,sK48_skl)|~sQ0_spl|~sQ21_spl),
% 54.74/7.64 inference(backward_demodulation,[status(thm)],[f953,f612])).
% 54.74/7.64 fof(f1994,definition,(
% 54.74/7.64 sQ209_spl <=> (ssList(cons(hd(sK48_skl),nil)))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f1996,plain,(
% 54.74/7.64 ~ssList(cons(hd(sK48_skl),nil))|sQ209_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f1994])).
% 54.74/7.64 fof(f1997,definition,(
% 54.74/7.64 sQ210_spl <=> (app(tl(sK48_skl),cons(hd(sK48_skl),nil))=sK47_skl)),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f1999,plain,(
% 54.74/7.64 ~app(tl(sK48_skl),cons(hd(sK48_skl),nil))=sK47_skl|sQ210_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f1997])).
% 54.74/7.64 fof(f2000,plain,(
% 54.74/7.64 ~sQ66_spl|~sQ44_spl|~sQ209_spl|~sQ210_spl|~sQ45_spl|~sQ9_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f961,f992,f838,f1994,f1997,f842,f471])).
% 54.74/7.64 fof(f2002,plain,(
% 54.74/7.64 sQ14_spl|~sQ20_spl|~sQ7_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f937,f545,f605,f464])).
% 54.74/7.64 fof(f2022,plain,(
% 54.74/7.64 sQ0_spl|~sQ14_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f772,f438,f545])).
% 54.74/7.64 fof(f2023,plain,(
% 54.74/7.64 sQ12_spl|~sQ14_spl|~sQ20_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f782,f538,f545,f605])).
% 54.74/7.64 fof(f2106,plain,(
% 54.74/7.64 ssList(tl(nil))|~sQ185_spl|~sQ198_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f1850,f1900])).
% 54.74/7.64 fof(f2107,plain,(
% 54.74/7.64 totalorderP(tl(nil))|ssList(sK18_skl(tl(nil)))|~sQ185_spl|~sQ198_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f2106,f158])).
% 54.74/7.64 fof(f2108,plain,(
% 54.74/7.64 totalorderP(tl(nil))|ssList(sK17_skl(tl(nil)))|~sQ185_spl|~sQ198_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f2106,f157])).
% 54.74/7.64 fof(f2109,plain,(
% 54.74/7.64 totalorderP(tl(nil))|ssList(sK16_skl(tl(nil)))|~sQ185_spl|~sQ198_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f2106,f156])).
% 54.74/7.64 fof(f2110,plain,(
% 54.74/7.64 nil=tl(nil)|tl(app(tl(nil),sK48_skl))=app(tl(tl(nil)),sK48_skl)|~sQ185_spl|~sQ198_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f2106,f1331])).
% 54.74/7.64 fof(f2111,plain,(
% 54.74/7.64 totalorderP(tl(nil))|ssItem(sK15_skl(tl(nil)))|~sQ185_spl|~sQ198_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f2106,f155])).
% 54.74/7.64 fof(f2112,plain,(
% 54.74/7.64 totalorderP(tl(nil))|ssItem(sK14_skl(tl(nil)))|~sQ185_spl|~sQ198_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f2106,f154])).
% 54.74/7.64 fof(f2113,definition,(
% 54.74/7.64 sQ228_spl <=> (totalorderP(tl(nil)))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f2116,definition,(
% 54.74/7.64 sQ229_spl <=> (ssList(sK18_skl(tl(nil))))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f2119,plain,(
% 54.74/7.64 sQ228_spl|sQ229_spl|~sQ185_spl|~sQ198_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f2107,f2113,f2116,f1849,f1899])).
% 54.74/7.64 fof(f2120,definition,(
% 54.74/7.64 sQ230_spl <=> (ssList(sK17_skl(tl(nil))))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f2123,plain,(
% 54.74/7.64 sQ228_spl|sQ230_spl|~sQ185_spl|~sQ198_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f2108,f2113,f2120,f1849,f1899])).
% 54.74/7.64 fof(f2124,definition,(
% 54.74/7.64 sQ231_spl <=> (ssList(sK16_skl(tl(nil))))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f2127,plain,(
% 54.74/7.64 sQ228_spl|sQ231_spl|~sQ185_spl|~sQ198_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f2109,f2113,f2124,f1849,f1899])).
% 54.74/7.64 fof(f2128,definition,(
% 54.74/7.64 sQ232_spl <=> (nil=tl(nil))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f2131,definition,(
% 54.74/7.64 sQ233_spl <=> (tl(app(tl(nil),sK48_skl))=app(tl(tl(nil)),sK48_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f2134,plain,(
% 54.74/7.64 sQ232_spl|sQ233_spl|~sQ185_spl|~sQ198_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f2110,f2128,f2131,f1849,f1899])).
% 54.74/7.64 fof(f2135,definition,(
% 54.74/7.64 sQ234_spl <=> (ssItem(sK15_skl(tl(nil))))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f2138,plain,(
% 54.74/7.64 sQ228_spl|sQ234_spl|~sQ185_spl|~sQ198_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f2111,f2113,f2135,f1849,f1899])).
% 54.74/7.64 fof(f2139,definition,(
% 54.74/7.64 sQ235_spl <=> (ssItem(sK14_skl(tl(nil))))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f2142,plain,(
% 54.74/7.64 sQ228_spl|sQ235_spl|~sQ185_spl|~sQ198_spl),
% 54.74/7.64 inference(split_clause,[status(thm)],[f2112,f2113,f2139,f1849,f1899])).
% 54.74/7.64 fof(f2263,plain,(
% 54.74/7.64 ssList(nil)|~sQ185_spl|~sQ4_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f1850,f453])).
% 54.74/7.64 fof(f2331,plain,(
% 54.74/7.64 $false|~sQ40_spl),
% 54.74/7.64 inference(backward_subsumption_resolution,[status(thm)],[f104,f960])).
% 54.74/7.64 fof(f2333,plain,(
% 54.74/7.64 ~sQ40_spl),
% 54.74/7.64 inference(contradiction_clause,[status(thm)],[f2331])).
% 54.74/7.64 fof(f2334,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|hd(cons(X0,nil))=X0|~sQ185_spl|~sQ4_spl)),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f1850,f1811])).
% 54.74/7.64 fof(f2335,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|tl(cons(X0,nil))=sK52_skl|~sQ185_spl|~sQ4_spl)),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f1850,f1812])).
% 54.74/7.64 fof(f2336,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|tl(cons(X0,nil))=nil|~sQ185_spl|~sQ4_spl)),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f1850,f2335])).
% 54.74/7.64 fof(f2339,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|cons(X0,nil)=app(cons(X0,nil),sK52_skl)|~sQ185_spl|~sQ4_spl)),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f1850,f1815])).
% 54.74/7.64 fof(f2340,plain,(
% 54.74/7.64 ![X0]: (~ssItem(X0)|cons(X0,nil)=app(cons(X0,nil),nil)|~sQ185_spl|~sQ4_spl)),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f1850,f2339])).
% 54.74/7.64 fof(f2358,plain,(
% 54.74/7.64 app(nil,cons(sK51_skl,nil))=sK47_skl|~sQ185_spl|~sQ6_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f1850,f1937])).
% 54.74/7.64 fof(f2365,plain,(
% 54.74/7.64 app(cons(sK51_skl,nil),nil)=sK48_skl|~sQ185_spl|~sQ5_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f1850,f1907])).
% 54.74/7.64 fof(f2366,plain,(
% 54.74/7.64 cons(sK51_skl,nil)=app(cons(sK51_skl,nil),nil)|~sQ2_spl|~sQ185_spl|~sQ4_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f446,f2340])).
% 54.74/7.64 fof(f2367,plain,(
% 54.74/7.64 tl(cons(sK51_skl,nil))=nil|~sQ2_spl|~sQ185_spl|~sQ4_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f446,f2336])).
% 54.74/7.64 fof(f2368,plain,(
% 54.74/7.64 hd(cons(sK51_skl,nil))=sK51_skl|~sQ2_spl|~sQ185_spl|~sQ4_spl),
% 54.74/7.64 inference(resolution,[status(thm)],[f446,f2334])).
% 54.74/7.64 fof(f2369,plain,(
% 54.74/7.64 cons(sK51_skl,nil)=sK48_skl|~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ4_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f2365,f2366])).
% 54.74/7.64 fof(f2377,plain,(
% 54.74/7.64 app(nil,sK48_skl)=sK47_skl|~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ6_spl),
% 54.74/7.64 inference(backward_demodulation,[status(thm)],[f2378,f2358])).
% 54.74/7.64 fof(f2378,plain,(
% 54.74/7.64 cons(sK51_skl,nil)=sK48_skl|~sQ185_spl|~sQ5_spl|~sQ2_spl),
% 54.74/7.64 inference(forward_demodulation,[status(thm)],[f2365,f1778])).
% 54.74/7.64 fof(f2432,definition,(
% 54.74/7.64 sQ264_spl <=> (ssItem(sK1_skl))),
% 54.74/7.64 introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition])).
% 54.74/7.64 fof(f2434,plain,(
% 54.74/7.64 ~ssItem(sK1_skl)|sQ264_spl),
% 54.74/7.64 inference(component_clause,[status(thm)],[f2432])).
% 54.74/7.65 fof(f2453,definition,(
% 54.74/7.65 sQ267_spl <=> (ssItem(sK0_skl))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f2455,plain,(
% 54.74/7.65 ~ssItem(sK0_skl)|sQ267_spl),
% 54.74/7.65 inference(component_clause,[status(thm)],[f2453])).
% 54.74/7.65 fof(f2724,plain,(
% 54.74/7.65 sP0_prd(sK48_skl,nil)|~sQ0_spl|~sQ7_spl),
% 54.74/7.65 inference(forward_demodulation,[status(thm)],[f1969,f465])).
% 54.74/7.65 fof(f2725,plain,(
% 54.74/7.65 $false|~sQ0_spl|~sQ7_spl),
% 54.74/7.65 inference(forward_subsumption_resolution,[status(thm)],[f2724,f508])).
% 54.74/7.65 fof(f2726,plain,(
% 54.74/7.65 ~sQ0_spl|~sQ7_spl),
% 54.74/7.65 inference(contradiction_clause,[status(thm)],[f2725])).
% 54.74/7.65 fof(f3045,plain,(
% 54.74/7.65 tl(sK48_skl)=nil|~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ4_spl),
% 54.74/7.65 inference(forward_demodulation,[status(thm)],[f2369,f2367])).
% 54.74/7.65 fof(f3109,plain,(
% 54.74/7.65 hd(sK48_skl)=sK51_skl|~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ4_spl),
% 54.74/7.65 inference(forward_demodulation,[status(thm)],[f2369,f2368])).
% 54.74/7.65 fof(f3152,plain,(
% 54.74/7.65 sK47_skl=sK48_skl|~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ6_spl),
% 54.74/7.65 inference(backward_demodulation,[status(thm)],[f2377,f524])).
% 54.74/7.65 fof(f3159,plain,(
% 54.74/7.65 sQ20_spl|~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ6_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f3152,f605,f456,f445,f1849,f460])).
% 54.74/7.65 fof(f3182,plain,(
% 54.74/7.65 ~ssList(nil)|~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ4_spl|sQ44_spl),
% 54.74/7.65 inference(forward_demodulation,[status(thm)],[f3045,f840])).
% 54.74/7.65 fof(f3183,plain,(
% 54.74/7.65 $false|~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ4_spl|sQ44_spl),
% 54.74/7.65 inference(forward_subsumption_resolution,[status(thm)],[f3182,f2263])).
% 54.74/7.65 fof(f3184,plain,(
% 54.74/7.65 ~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ4_spl|sQ44_spl),
% 54.74/7.65 inference(contradiction_clause,[status(thm)],[f3183])).
% 54.74/7.65 fof(f3191,plain,(
% 54.74/7.65 ~ssItem(sK51_skl)|~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ4_spl|sQ45_spl),
% 54.74/7.65 inference(forward_demodulation,[status(thm)],[f3109,f844])).
% 54.74/7.65 fof(f3192,plain,(
% 54.74/7.65 $false|~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ4_spl|sQ45_spl),
% 54.74/7.65 inference(forward_subsumption_resolution,[status(thm)],[f3191,f446])).
% 54.74/7.65 fof(f3193,plain,(
% 54.74/7.65 ~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ4_spl|sQ45_spl),
% 54.74/7.65 inference(contradiction_clause,[status(thm)],[f3192])).
% 54.74/7.65 fof(f3198,plain,(
% 54.74/7.65 ~cons(sK51_skl,tl(sK48_skl))=sK48_skl|~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ4_spl|sQ13_spl),
% 54.74/7.65 inference(forward_demodulation,[status(thm)],[f3109,f543])).
% 54.74/7.65 fof(f3199,plain,(
% 54.74/7.65 ~cons(sK51_skl,nil)=sK48_skl|~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ4_spl|sQ13_spl),
% 54.74/7.65 inference(forward_demodulation,[status(thm)],[f3045,f3198])).
% 54.74/7.65 fof(f3200,plain,(
% 54.74/7.65 ~sK48_skl=sK48_skl|~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ4_spl|sQ13_spl),
% 54.74/7.65 inference(forward_demodulation,[status(thm)],[f2369,f3199])).
% 54.74/7.65 fof(f3201,plain,(
% 54.74/7.65 $false|~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ4_spl|sQ13_spl),
% 54.74/7.65 inference(trivial_equality_resolution,[status(thm)],[f3200])).
% 54.74/7.65 fof(f3202,plain,(
% 54.74/7.65 ~sQ5_spl|~sQ2_spl|~sQ185_spl|~sQ4_spl|sQ13_spl),
% 54.74/7.65 inference(contradiction_clause,[status(thm)],[f3201])).
% 54.74/7.65 fof(f3207,plain,(
% 54.74/7.65 $false|sQ264_spl),
% 54.74/7.65 inference(forward_subsumption_resolution,[status(thm)],[f2434,f104])).
% 54.74/7.65 fof(f3208,plain,(
% 54.74/7.65 sQ264_spl),
% 54.74/7.65 inference(contradiction_clause,[status(thm)],[f3207])).
% 54.74/7.65 fof(f3209,plain,(
% 54.74/7.65 $false|sQ267_spl),
% 54.74/7.65 inference(forward_subsumption_resolution,[status(thm)],[f2455,f103])).
% 54.74/7.65 fof(f3210,plain,(
% 54.74/7.65 sQ267_spl),
% 54.74/7.65 inference(contradiction_clause,[status(thm)],[f3209])).
% 54.74/7.65 fof(f3785,plain,(
% 54.74/7.65 ![X0]: (~ssList(X0)|neq(sK52_skl,X0)|sK52_skl=X0|~sQ4_spl)),
% 54.74/7.65 inference(resolution,[status(thm)],[f453,f220])).
% 54.74/7.65 fof(f3909,plain,(
% 54.74/7.65 ![X0]: (~ssList(tl(sK52_skl))|~ssList(sK47_skl)|~ssList(X0)|~app(X0,sK47_skl)=tl(app(sK52_skl,sK47_skl))|X0=tl(sK52_skl)|~sQ186_spl)),
% 54.74/7.65 inference(paramodulation,[status(thm)],[f1853,f376])).
% 54.74/7.65 fof(f3911,plain,(
% 54.74/7.65 ![X0]: (~ssList(sK47_skl)|~ssList(tl(sK52_skl))|~ssList(X0)|~app(tl(sK52_skl),X0)=tl(app(sK52_skl,sK47_skl))|X0=sK47_skl|~sQ186_spl)),
% 54.74/7.65 inference(paramodulation,[status(thm)],[f1853,f378])).
% 54.74/7.65 fof(f3915,definition,(
% 54.74/7.65 ![X0]: (sQ414_spl <=> (~ssList(X0)|~app(X0,sK47_skl)=tl(app(sK52_skl,sK47_skl))|X0=tl(sK52_skl)))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f3918,plain,(
% 54.74/7.65 ~sQ198_spl|~sQ66_spl|sQ414_spl|~sQ186_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f3909,f1899,f992,f3915,f1852])).
% 54.74/7.65 fof(f3920,definition,(
% 54.74/7.65 ![X0]: (sQ415_spl <=> (~ssList(X0)|~app(tl(sK52_skl),X0)=tl(app(sK52_skl,sK47_skl))|X0=sK47_skl))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f3923,plain,(
% 54.74/7.65 ~sQ66_spl|~sQ198_spl|sQ415_spl|~sQ186_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f3911,f992,f1899,f3920,f1852])).
% 54.74/7.65 fof(f4365,plain,(
% 54.74/7.65 ssList(cons(hd(sK48_skl),nil))|~sQ45_spl),
% 54.74/7.65 inference(resolution,[status(thm)],[f843,f650])).
% 54.74/7.65 fof(f4377,plain,(
% 54.74/7.65 $false|sQ209_spl|~sQ45_spl),
% 54.74/7.65 inference(forward_subsumption_resolution,[status(thm)],[f4365,f1996])).
% 54.74/7.65 fof(f4378,plain,(
% 54.74/7.65 sQ209_spl|~sQ45_spl),
% 54.74/7.65 inference(contradiction_clause,[status(thm)],[f4377])).
% 54.74/7.65 fof(f4765,plain,(
% 54.74/7.65 ~ssList(tl(sK48_skl))|~ssItem(hd(sK48_skl))|~nil=sK48_skl|~sQ13_spl),
% 54.74/7.65 inference(paramodulation,[status(thm)],[f542,f235])).
% 54.74/7.65 fof(f4767,plain,(
% 54.74/7.65 ~sQ44_spl|~sQ45_spl|~sQ12_spl|~sQ13_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f4765,f838,f842,f538,f541])).
% 54.74/7.65 fof(f5149,definition,(
% 54.74/7.65 sQ581_spl <=> (neq(nil,nil))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ581_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f5150,plain,(
% 54.74/7.65 neq(nil,nil)|~sQ581_spl),
% 54.74/7.65 inference(component_clause,[status(thm)],[f5149])).
% 54.74/7.65 fof(f5508,plain,(
% 54.74/7.65 ~neq(nil,sK47_skl)|~sQ20_spl|sQ10_spl),
% 54.74/7.65 inference(forward_demodulation,[status(thm)],[f606,f476])).
% 54.74/7.65 fof(f6423,plain,(
% 54.74/7.65 $false|~sQ20_spl|sQ10_spl|~sQ16_spl),
% 54.74/7.65 inference(forward_subsumption_resolution,[status(thm)],[f589,f5508])).
% 54.74/7.65 fof(f6424,plain,(
% 54.74/7.65 ~sQ20_spl|sQ10_spl|~sQ16_spl),
% 54.74/7.65 inference(contradiction_clause,[status(thm)],[f6423])).
% 54.74/7.65 fof(f6425,plain,(
% 54.74/7.65 sQ10_spl|~sQ0_spl|~sQ21_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f1981,f474,f438,f611])).
% 54.74/7.65 fof(f6462,plain,(
% 54.74/7.65 ~ssList(nil)|~sQ581_spl),
% 54.74/7.65 inference(resolution,[status(thm)],[f5150,f494])).
% 54.74/7.65 fof(f7124,plain,(
% 54.74/7.65 neq(sK52_skl,sK52_skl)|sK52_skl=sK52_skl|~sQ4_spl),
% 54.74/7.65 inference(resolution,[status(thm)],[f453,f3785])).
% 54.74/7.65 fof(f7188,definition,(
% 54.74/7.65 sQ838_spl <=> (neq(sK52_skl,sK52_skl))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ838_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f7189,plain,(
% 54.74/7.65 neq(sK52_skl,sK52_skl)|~sQ838_spl),
% 54.74/7.65 inference(component_clause,[status(thm)],[f7188])).
% 54.74/7.65 fof(f7191,definition,(
% 54.74/7.65 sQ839_spl <=> (sK52_skl=sK52_skl)),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ839_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f7194,plain,(
% 54.74/7.65 sQ838_spl|sQ839_spl|~sQ4_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f7124,f7188,f7191,f452])).
% 54.74/7.65 fof(f7435,plain,(
% 54.74/7.65 hd(cons(sK51_skl,sK52_skl))=sK51_skl|~sQ4_spl|~sQ2_spl),
% 54.74/7.65 inference(resolution,[status(thm)],[f1811,f446])).
% 54.74/7.65 fof(f7438,plain,(
% 54.74/7.65 tl(cons(sK51_skl,sK52_skl))=sK52_skl|~sQ4_spl|~sQ2_spl),
% 54.74/7.65 inference(resolution,[status(thm)],[f1812,f446])).
% 54.74/7.65 fof(f7453,plain,(
% 54.74/7.65 cons(sK51_skl,sK52_skl)=app(cons(sK51_skl,nil),sK52_skl)|~sQ4_spl|~sQ2_spl),
% 54.74/7.65 inference(resolution,[status(thm)],[f1815,f446])).
% 54.74/7.65 fof(f7456,plain,(
% 54.74/7.65 cons(sK51_skl,sK52_skl)=sK48_skl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 54.74/7.65 inference(forward_demodulation,[status(thm)],[f1907,f7453])).
% 54.74/7.65 fof(f7617,plain,(
% 54.74/7.65 neq(sK48_skl,tl(sK52_skl))|sK48_skl=tl(sK52_skl)|~sQ198_spl),
% 54.74/7.65 inference(resolution,[status(thm)],[f1900,f527])).
% 54.74/7.65 fof(f7642,plain,(
% 54.74/7.65 totalorderedP(tl(sK52_skl))|app(app(sK26_skl(tl(sK52_skl)),cons(sK24_skl(tl(sK52_skl)),sK27_skl(tl(sK52_skl)))),cons(sK25_skl(tl(sK52_skl)),sK28_skl(tl(sK52_skl))))=tl(sK52_skl)|~sQ198_spl),
% 54.74/7.65 inference(resolution,[status(thm)],[f1900,f183])).
% 54.74/7.65 fof(f7643,plain,(
% 54.74/7.65 totalorderedP(tl(sK52_skl))|ssList(sK28_skl(tl(sK52_skl)))|~sQ198_spl),
% 54.74/7.65 inference(resolution,[status(thm)],[f1900,f182])).
% 54.74/7.65 fof(f7644,plain,(
% 54.74/7.65 totalorderedP(tl(sK52_skl))|ssList(sK27_skl(tl(sK52_skl)))|~sQ198_spl),
% 54.74/7.65 inference(resolution,[status(thm)],[f1900,f181])).
% 54.74/7.65 fof(f7645,plain,(
% 54.74/7.65 totalorderedP(tl(sK52_skl))|ssList(sK26_skl(tl(sK52_skl)))|~sQ198_spl),
% 54.74/7.65 inference(resolution,[status(thm)],[f1900,f180])).
% 54.74/7.65 fof(f7650,plain,(
% 54.74/7.65 totalorderedP(tl(sK52_skl))|ssItem(sK25_skl(tl(sK52_skl)))|~sQ198_spl),
% 54.74/7.65 inference(resolution,[status(thm)],[f1900,f179])).
% 54.74/7.65 fof(f7651,plain,(
% 54.74/7.65 totalorderedP(tl(sK52_skl))|ssItem(sK24_skl(tl(sK52_skl)))|~sQ198_spl),
% 54.74/7.65 inference(resolution,[status(thm)],[f1900,f178])).
% 54.74/7.65 fof(f7692,definition,(
% 54.74/7.65 sQ883_spl <=> (neq(sK48_skl,tl(sK52_skl)))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ883_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f7693,plain,(
% 54.74/7.65 neq(sK48_skl,tl(sK52_skl))|~sQ883_spl),
% 54.74/7.65 inference(component_clause,[status(thm)],[f7692])).
% 54.74/7.65 fof(f7695,definition,(
% 54.74/7.65 sQ884_spl <=> (sK48_skl=tl(sK52_skl))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ884_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f7696,plain,(
% 54.74/7.65 sK48_skl=tl(sK52_skl)|~sQ884_spl),
% 54.74/7.65 inference(component_clause,[status(thm)],[f7695])).
% 54.74/7.65 fof(f7698,plain,(
% 54.74/7.65 sQ883_spl|sQ884_spl|~sQ198_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f7617,f7692,f7695,f1899])).
% 54.74/7.65 fof(f7800,definition,(
% 54.74/7.65 sQ911_spl <=> (totalorderedP(tl(sK52_skl)))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ911_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f7801,plain,(
% 54.74/7.65 totalorderedP(tl(sK52_skl))|~sQ911_spl),
% 54.74/7.65 inference(component_clause,[status(thm)],[f7800])).
% 54.74/7.65 fof(f7803,definition,(
% 54.74/7.65 sQ912_spl <=> (app(app(sK26_skl(tl(sK52_skl)),cons(sK24_skl(tl(sK52_skl)),sK27_skl(tl(sK52_skl)))),cons(sK25_skl(tl(sK52_skl)),sK28_skl(tl(sK52_skl))))=tl(sK52_skl))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ912_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f7806,plain,(
% 54.74/7.65 sQ911_spl|sQ912_spl|~sQ198_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f7642,f7800,f7803,f1899])).
% 54.74/7.65 fof(f7807,definition,(
% 54.74/7.65 sQ913_spl <=> (ssList(sK28_skl(tl(sK52_skl))))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ913_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f7810,plain,(
% 54.74/7.65 sQ911_spl|sQ913_spl|~sQ198_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f7643,f7800,f7807,f1899])).
% 54.74/7.65 fof(f7811,definition,(
% 54.74/7.65 sQ914_spl <=> (ssList(sK27_skl(tl(sK52_skl))))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ914_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f7814,plain,(
% 54.74/7.65 sQ911_spl|sQ914_spl|~sQ198_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f7644,f7800,f7811,f1899])).
% 54.74/7.65 fof(f7815,definition,(
% 54.74/7.65 sQ915_spl <=> (ssList(sK26_skl(tl(sK52_skl))))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ915_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f7818,plain,(
% 54.74/7.65 sQ911_spl|sQ915_spl|~sQ198_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f7645,f7800,f7815,f1899])).
% 54.74/7.65 fof(f7819,definition,(
% 54.74/7.65 sQ916_spl <=> (ssItem(sK25_skl(tl(sK52_skl))))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ916_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f7822,plain,(
% 54.74/7.65 sQ911_spl|sQ916_spl|~sQ198_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f7650,f7800,f7819,f1899])).
% 54.74/7.65 fof(f7823,definition,(
% 54.74/7.65 sQ917_spl <=> (ssItem(sK24_skl(tl(sK52_skl))))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ917_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f7826,plain,(
% 54.74/7.65 sQ911_spl|sQ917_spl|~sQ198_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f7651,f7800,f7823,f1899])).
% 54.74/7.65 fof(f8336,plain,(
% 54.74/7.65 ~ssList(sK52_skl)|~sQ838_spl),
% 54.74/7.65 inference(resolution,[status(thm)],[f7189,f494])).
% 54.74/7.65 fof(f8337,plain,(
% 54.74/7.65 $false|~sQ4_spl|~sQ838_spl),
% 54.74/7.65 inference(forward_subsumption_resolution,[status(thm)],[f8336,f453])).
% 54.74/7.65 fof(f8338,plain,(
% 54.74/7.65 ~sQ4_spl|~sQ838_spl),
% 54.74/7.65 inference(contradiction_clause,[status(thm)],[f8337])).
% 54.74/7.65 fof(f8369,plain,(
% 54.74/7.65 tl(sK48_skl)=sK52_skl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 54.74/7.65 inference(backward_demodulation,[status(thm)],[f7456,f7438])).
% 54.74/7.65 fof(f8370,plain,(
% 54.74/7.65 hd(sK48_skl)=sK51_skl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 54.74/7.65 inference(backward_demodulation,[status(thm)],[f7456,f7435])).
% 54.74/7.65 fof(f8373,plain,(
% 54.74/7.65 ~ssList(sK52_skl)|~ssItem(sK51_skl)|~nil=sK48_skl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 54.74/7.65 inference(paramodulation,[status(thm)],[f7456,f235])).
% 54.74/7.65 fof(f8397,plain,(
% 54.74/7.65 ~sQ4_spl|~sQ2_spl|~sQ12_spl|~sQ5_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f8373,f452,f445,f538,f456])).
% 54.74/7.65 fof(f8891,plain,(
% 54.74/7.65 neq(sK48_skl,sK48_skl)|~sQ884_spl|~sQ883_spl),
% 54.74/7.65 inference(backward_demodulation,[status(thm)],[f7696,f7693])).
% 54.74/7.65 fof(f8893,plain,(
% 54.74/7.65 totalorderedP(sK48_skl)|~sQ884_spl|~sQ911_spl),
% 54.74/7.65 inference(backward_demodulation,[status(thm)],[f7696,f7801])).
% 54.74/7.65 fof(f8909,plain,(
% 54.74/7.65 sQ17_spl|~sQ884_spl|~sQ883_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f8891,f595,f7695,f7692])).
% 54.74/7.65 fof(f8910,plain,(
% 54.74/7.65 sQ99_spl|~sQ884_spl|~sQ911_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f8893,f1209,f7695,f7800])).
% 54.74/7.65 fof(f9669,plain,(
% 54.74/7.65 ~app(sK52_skl,cons(hd(sK48_skl),nil))=sK47_skl|~sQ5_spl|~sQ4_spl|~sQ2_spl|sQ210_spl),
% 54.74/7.65 inference(forward_demodulation,[status(thm)],[f8369,f1999])).
% 54.74/7.65 fof(f9670,plain,(
% 54.74/7.65 ~app(sK52_skl,cons(sK51_skl,nil))=sK47_skl|~sQ5_spl|~sQ4_spl|~sQ2_spl|sQ210_spl),
% 54.74/7.65 inference(forward_demodulation,[status(thm)],[f8370,f9669])).
% 54.74/7.65 fof(f10611,plain,(
% 54.74/7.65 $false|~sQ5_spl|~sQ4_spl|~sQ2_spl|sQ210_spl|~sQ6_spl),
% 54.74/7.65 inference(forward_subsumption_resolution,[status(thm)],[f1937,f9670])).
% 54.74/7.65 fof(f10612,plain,(
% 54.74/7.65 ~sQ5_spl|~sQ4_spl|~sQ2_spl|sQ210_spl|~sQ6_spl),
% 54.74/7.65 inference(contradiction_clause,[status(thm)],[f10611])).
% 54.74/7.65 fof(f13116,plain,(
% 54.74/7.65 ![X0]: (~ssItem(X0)|~ssList(tl(sK52_skl))|~ssList(sK47_skl)|~memberP(tl(app(sK52_skl,sK47_skl)),X0)|memberP(tl(sK52_skl),X0)|memberP(sK47_skl,X0)|~sQ186_spl)),
% 54.74/7.65 inference(paramodulation,[status(thm)],[f1853,f270])).
% 54.74/7.65 fof(f13123,definition,(
% 54.74/7.65 ![X0]: (sQ1586_spl <=> (~ssItem(X0)|~memberP(tl(app(sK52_skl,sK47_skl)),X0)|memberP(tl(sK52_skl),X0)|memberP(sK47_skl,X0)))),
% 54.74/7.65 introduced(definition,[new_symbols(definition,[sQ1586_spl])],[split_symbol_definition])).
% 54.74/7.65 fof(f13126,plain,(
% 54.74/7.65 sQ1586_spl|~sQ198_spl|~sQ66_spl|~sQ186_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f13116,f13123,f1899,f992,f1852])).
% 54.74/7.65 fof(f13232,plain,(
% 54.74/7.65 neq(nil,sK47_skl)|nil=sK47_skl),
% 54.74/7.65 inference(resolution,[status(thm)],[f645,f420])).
% 54.74/7.65 fof(f13237,plain,(
% 54.74/7.65 neq(nil,nil)|nil=nil),
% 54.74/7.65 inference(resolution,[status(thm)],[f645,f223])).
% 54.74/7.65 fof(f13238,plain,(
% 54.74/7.65 neq(nil,sK48_skl)|nil=sK48_skl),
% 54.74/7.65 inference(resolution,[status(thm)],[f645,f421])).
% 54.74/7.65 fof(f13247,plain,(
% 54.74/7.65 sQ16_spl|sQ14_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f13232,f588,f545])).
% 54.74/7.65 fof(f13261,plain,(
% 54.74/7.65 sQ581_spl|sQ29_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f13237,f5149,f656])).
% 54.74/7.65 fof(f13262,plain,(
% 54.74/7.65 sQ10_spl|sQ12_spl),
% 54.74/7.65 inference(split_clause,[status(thm)],[f13238,f474,f538])).
% 54.74/7.65 fof(f13263,plain,(
% 54.74/7.65 $false|~sQ581_spl),
% 54.74/7.65 inference(forward_subsumption_resolution,[status(thm)],[f6462,f223])).
% 54.74/7.70 fof(f13264,plain,(
% 54.74/7.70 ~sQ581_spl),
% 54.74/7.70 inference(contradiction_clause,[status(thm)],[f13263])).
% 54.74/7.70 fof(f13568,plain,(
% 54.74/7.70 nil=sK48_skl|~sQ7_spl),
% 54.74/7.70 inference(resolution,[status(thm)],[f465,f435])).
% 54.74/7.70 fof(f13569,plain,(
% 54.74/7.70 sQ12_spl|~sQ7_spl),
% 54.74/7.70 inference(split_clause,[status(thm)],[f13568,f538,f464])).
% 54.74/7.70 fof(f13570,plain,(
% 54.74/7.70 $false),
% 54.74/7.70 inference(sat_refutation,[status(thm)],[f444,f451,f455,f459,f463,f470,f477,f551,f601,f614,f630,f637,f655,f670,f680,f684,f686,f744,f790,f794,f819,f822,f841,f845,f1219,f1259,f1483,f1742,f1744,f1855,f1902,f1968,f2000,f2002,f2022,f2023,f2119,f2123,f2127,f2134,f2138,f2142,f2333,f2726,f3159,f3184,f3193,f3202,f3208,f3210,f3918,f3923,f4378,f4767,f6424,f6425,f7194,f7698,f7806,f7810,f7814,f7818,f7822,f7826,f8338,f8397,f8909,f8910,f10612,f13126,f13247,f13261,f13262,f13264,f13569])).
% 54.74/7.70 % SZS output end CNFRefutation for theBenchmark.p
% 54.74/7.70 % Elapsed time: 7.305919 seconds
% 54.74/7.70 % CPU time: 57.651973 seconds
% 54.74/7.70 % Total memory used: 420.446 MB
% 54.74/7.70 % Net memory used: 398.337 MB
%------------------------------------------------------------------------------