TSTP Solution File: SWC015+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC015+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:38:52 EDT 2023
% Result : Theorem 0.16s 0.53s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWC015+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n010.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:09:52 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.53 % Refutation found
% 0.16/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.53 fof(f3,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ( memberP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(W,cons(V,X)) = U ) )) )) ) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f4,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> ( singletonP(U)<=> (? [V] :( ssItem(V)& cons(V,nil) = U ) )) ) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f5,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f6,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( rearsegP(U,V)<=> (? [W] :( ssList(W)& app(W,V) = U ) )) ) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f7,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f15,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f16,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f17,axiom,(
% 0.16/0.53 ssList(nil) ),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f18,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> cons(V,U) != U ) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f19,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssItem(X)=> ( cons(W,U) = cons(X,V)=> ( W = X& V = U ) ) ) )) )) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f22,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> ( nil != U=> ssItem(hd(U)) ) ) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f23,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> hd(cons(V,U)) = V ) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f24,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> ( nil != U=> ssList(tl(U)) ) ) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f26,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f28,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f36,axiom,(
% 0.16/0.53 (! [U] :( ssItem(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( memberP(app(V,W),U)<=> ( memberP(V,U)| memberP(W,U) ) ) ) )) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f40,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( frontsegP(U,V)& frontsegP(V,W) )=> frontsegP(U,W) ) ) )) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f42,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f43,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( frontsegP(U,V)=> frontsegP(app(U,W),V) ) ) )) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f47,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( rearsegP(U,V)& rearsegP(V,W) )=> rearsegP(U,W) ) ) )) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f49,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> rearsegP(U,U) ) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f50,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( rearsegP(U,V)=> rearsegP(app(W,U),V) ) ) )) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f77,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( nil != V& nil != U& hd(V) = hd(U)& tl(V) = tl(U) )=> V = U ) ) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f78,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> ( nil != U=> cons(hd(U),tl(U)) = U ) ) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f79,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(W,V) = app(U,V)=> W = U ) ) )) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f80,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(V,W) = app(V,U)=> W = U ) ) )) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f82,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> app(app(U,V),W) = app(U,app(V,W)) ) )) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f83,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil = app(U,V)<=> ( nil = V& nil = U ) ) ) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f84,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f86,axiom,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil != U=> tl(app(U,V)) = app(tl(U),V) ) ) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f96,conjecture,(
% 0.16/0.53 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& X != Y& (? [Z] :( ssList(Z)& tl(X) = Z& app(W,Z) = Y& neq(nil,X) ) )))| (? [X1] :( ssItem(X1)& (? [X2] :( ssList(X2)& cons(X1,nil) = U& app(cons(X1,nil),X2) = V ) )) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53 fof(f97,negated_conjecture,(
% 0.16/0.53 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& X != Y& (? [Z] :( ssList(Z)& tl(X) = Z& app(W,Z) = Y& neq(nil,X) ) )))| (? [X1] :( ssItem(X1)& (? [X2] :( ssList(X2)& cons(X1,nil) = U& app(cons(X1,nil),X2) = V ) )) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 0.16/0.53 inference(negated_conjecture,[status(cth)],[f96])).
% 0.16/0.53 fof(f106,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|(memberP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U))))))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.16/0.53 fof(f107,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U)))))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 0.16/0.53 inference(NNF_transformation,[status(esa)],[f106])).
% 0.16/0.53 fof(f108,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(ssList(sk0_2(V,U))&(ssList(sk0_3(V,U))&app(sk0_2(V,U),cons(V,sk0_3(V,U)))=U)))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 0.16/0.53 inference(skolemization,[status(esa)],[f107])).
% 0.16/0.53 fof(f111,plain,(
% 0.16/0.53 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~memberP(X0,X1)|app(sk0_2(X1,X0),cons(X1,sk0_3(X1,X0)))=X0)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f108])).
% 0.16/0.53 fof(f113,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(singletonP(U)<=>(?[V]: (ssItem(V)&cons(V,nil)=U))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.16/0.53 fof(f114,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|((~singletonP(U)|(?[V]: (ssItem(V)&cons(V,nil)=U)))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.16/0.53 inference(NNF_transformation,[status(esa)],[f113])).
% 0.16/0.53 fof(f115,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|((~singletonP(U)|(ssItem(sk0_4(U))&cons(sk0_4(U),nil)=U))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.16/0.53 inference(skolemization,[status(esa)],[f114])).
% 0.16/0.53 fof(f117,plain,(
% 0.16/0.53 ![X0]: (~ssList(X0)|~singletonP(X0)|cons(sk0_4(X0),nil)=X0)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f115])).
% 0.16/0.53 fof(f118,plain,(
% 0.16/0.53 ![X0,X1]: (~ssList(X0)|singletonP(X0)|~ssItem(X1)|~cons(X1,nil)=X0)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f115])).
% 0.16/0.53 fof(f119,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.16/0.53 fof(f120,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(?[W]: (ssList(W)&app(V,W)=U)))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.16/0.53 inference(NNF_transformation,[status(esa)],[f119])).
% 0.16/0.53 fof(f121,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(ssList(sk0_5(V,U))&app(V,sk0_5(V,U))=U))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.16/0.53 inference(skolemization,[status(esa)],[f120])).
% 0.16/0.53 fof(f122,plain,(
% 0.16/0.53 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sk0_5(X1,X0)))),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f121])).
% 0.16/0.53 fof(f123,plain,(
% 0.16/0.53 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sk0_5(X1,X0))=X0)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f121])).
% 0.16/0.53 fof(f124,plain,(
% 0.16/0.53 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|frontsegP(X0,X1)|~ssList(X2)|~app(X1,X2)=X0)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f121])).
% 0.16/0.53 fof(f125,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(rearsegP(U,V)<=>(?[W]: (ssList(W)&app(W,V)=U))))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.16/0.53 fof(f126,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|(?[W]: (ssList(W)&app(W,V)=U)))&(rearsegP(U,V)|(![W]: (~ssList(W)|~app(W,V)=U)))))))),
% 0.16/0.53 inference(NNF_transformation,[status(esa)],[f125])).
% 0.16/0.53 fof(f127,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|(ssList(sk0_6(V,U))&app(sk0_6(V,U),V)=U))&(rearsegP(U,V)|(![W]: (~ssList(W)|~app(W,V)=U)))))))),
% 0.16/0.53 inference(skolemization,[status(esa)],[f126])).
% 0.16/0.53 fof(f129,plain,(
% 0.16/0.53 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|app(sk0_6(X1,X0),X1)=X0)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f127])).
% 0.16/0.53 fof(f130,plain,(
% 0.16/0.53 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|rearsegP(X0,X1)|~ssList(X2)|~app(X2,X1)=X0)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f127])).
% 0.16/0.53 fof(f131,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.16/0.53 fof(f132,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U)))))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.16/0.53 inference(NNF_transformation,[status(esa)],[f131])).
% 0.16/0.53 fof(f133,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(ssList(sk0_7(V,U))&(ssList(sk0_8(V,U))&app(app(sk0_7(V,U),V),sk0_8(V,U))=U)))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.16/0.53 inference(skolemization,[status(esa)],[f132])).
% 0.16/0.53 fof(f136,plain,(
% 0.16/0.53 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|app(app(sk0_7(X1,X0),X1),sk0_8(X1,X0))=X0)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f133])).
% 0.16/0.53 fof(f137,plain,(
% 0.16/0.53 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f133])).
% 0.16/0.53 fof(f217,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.16/0.53 fof(f218,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.16/0.53 inference(NNF_transformation,[status(esa)],[f217])).
% 0.16/0.53 fof(f219,plain,(
% 0.16/0.53 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f218])).
% 0.16/0.53 fof(f220,plain,(
% 0.16/0.53 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f218])).
% 0.16/0.53 fof(f221,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.16/0.53 fof(f222,plain,(
% 0.16/0.53 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f221])).
% 0.16/0.53 fof(f223,plain,(
% 0.16/0.53 ssList(nil)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f17])).
% 0.16/0.53 fof(f224,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~cons(V,U)=U)))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.16/0.53 fof(f225,plain,(
% 0.16/0.53 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~cons(X1,X0)=X0)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f224])).
% 0.16/0.53 fof(f226,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssItem(W)|(![X]: (~ssItem(X)|(~cons(W,U)=cons(X,V)|(W=X&V=U)))))))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.16/0.53 fof(f227,plain,(
% 0.16/0.53 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X2=X3)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f226])).
% 0.16/0.53 fof(f228,plain,(
% 0.16/0.53 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X1=X0)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f226])).
% 0.16/0.53 fof(f236,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(nil=U|ssItem(hd(U))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.16/0.53 fof(f237,plain,(
% 0.16/0.53 ![X0]: (~ssList(X0)|nil=X0|ssItem(hd(X0)))),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f236])).
% 0.16/0.53 fof(f238,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|hd(cons(V,U))=V)))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.16/0.53 fof(f239,plain,(
% 0.16/0.53 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|hd(cons(X1,X0))=X1)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f238])).
% 0.16/0.53 fof(f240,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(nil=U|ssList(tl(U))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.16/0.53 fof(f241,plain,(
% 0.16/0.53 ![X0]: (~ssList(X0)|nil=X0|ssList(tl(X0)))),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f240])).
% 0.16/0.53 fof(f244,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.16/0.53 fof(f245,plain,(
% 0.16/0.53 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f244])).
% 0.16/0.53 fof(f248,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.16/0.53 fof(f249,plain,(
% 0.16/0.53 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f248])).
% 0.16/0.53 fof(f268,plain,(
% 0.16/0.53 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(memberP(app(V,W),U)<=>(memberP(V,U)|memberP(W,U))))))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.16/0.53 fof(f269,plain,(
% 0.16/0.53 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~memberP(app(V,W),U)|(memberP(V,U)|memberP(W,U)))&(memberP(app(V,W),U)|(~memberP(V,U)&~memberP(W,U)))))))))),
% 0.16/0.53 inference(NNF_transformation,[status(esa)],[f268])).
% 0.16/0.53 fof(f270,plain,(
% 0.16/0.53 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~memberP(app(X1,X2),X0)|memberP(X1,X0)|memberP(X2,X0))),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f269])).
% 0.16/0.53 fof(f271,plain,(
% 0.16/0.53 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X1,X0))),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f269])).
% 0.16/0.53 fof(f272,plain,(
% 0.16/0.53 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X2,X0))),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f269])).
% 0.16/0.53 fof(f281,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~frontsegP(U,V)|~frontsegP(V,W))|frontsegP(U,W)))))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.16/0.53 fof(f282,plain,(
% 0.16/0.53 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X0,X1)|~frontsegP(X1,X2)|frontsegP(X0,X2))),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f281])).
% 0.16/0.53 fof(f285,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|frontsegP(U,U))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.16/0.53 fof(f286,plain,(
% 0.16/0.53 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f285])).
% 0.16/0.53 fof(f287,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~frontsegP(U,V)|frontsegP(app(U,W),V)))))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.16/0.53 fof(f288,plain,(
% 0.16/0.53 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X0,X1)|frontsegP(app(X0,X2),X1))),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f287])).
% 0.16/0.53 fof(f300,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~rearsegP(U,V)|~rearsegP(V,W))|rearsegP(U,W)))))))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.16/0.53 fof(f301,plain,(
% 0.16/0.53 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~rearsegP(X0,X1)|~rearsegP(X1,X2)|rearsegP(X0,X2))),
% 0.16/0.53 inference(cnf_transformation,[status(esa)],[f300])).
% 0.16/0.53 fof(f304,plain,(
% 0.16/0.53 ![U]: (~ssList(U)|rearsegP(U,U))),
% 0.16/0.53 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 0.16/0.53 fof(f305,plain,(
% 0.16/0.53 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f304])).
% 0.16/0.54 fof(f306,plain,(
% 0.16/0.54 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~rearsegP(U,V)|rearsegP(app(W,U),V)))))))),
% 0.16/0.54 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 0.16/0.54 fof(f307,plain,(
% 0.16/0.54 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~rearsegP(X0,X1)|rearsegP(app(X2,X0),X1))),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f306])).
% 0.16/0.54 fof(f371,plain,(
% 0.16/0.54 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((((nil=V|nil=U)|~hd(V)=hd(U))|~tl(V)=tl(U))|V=U))))),
% 0.16/0.54 inference(pre_NNF_transformation,[status(esa)],[f77])).
% 0.16/0.54 fof(f372,plain,(
% 0.16/0.54 ![X0,X1]: (~ssList(X0)|~ssList(X1)|nil=X1|nil=X0|~hd(X1)=hd(X0)|~tl(X1)=tl(X0)|X1=X0)),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f371])).
% 0.16/0.54 fof(f373,plain,(
% 0.16/0.54 ![U]: (~ssList(U)|(nil=U|cons(hd(U),tl(U))=U))),
% 0.16/0.54 inference(pre_NNF_transformation,[status(esa)],[f78])).
% 0.16/0.54 fof(f374,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|nil=X0|cons(hd(X0),tl(X0))=X0)),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f373])).
% 0.16/0.54 fof(f375,plain,(
% 0.16/0.54 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(W,V)=app(U,V)|W=U))))))),
% 0.16/0.54 inference(pre_NNF_transformation,[status(esa)],[f79])).
% 0.16/0.54 fof(f376,plain,(
% 0.16/0.54 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X2,X1)=app(X0,X1)|X2=X0)),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f375])).
% 0.16/0.54 fof(f377,plain,(
% 0.16/0.54 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(V,W)=app(V,U)|W=U))))))),
% 0.16/0.54 inference(pre_NNF_transformation,[status(esa)],[f80])).
% 0.16/0.54 fof(f378,plain,(
% 0.16/0.54 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X1,X2)=app(X1,X0)|X2=X0)),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f377])).
% 0.16/0.54 fof(f381,plain,(
% 0.16/0.54 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|app(app(U,V),W)=app(U,app(V,W)))))))),
% 0.16/0.54 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 0.16/0.54 fof(f382,plain,(
% 0.16/0.54 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X0,X1),X2)=app(X0,app(X1,X2)))),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f381])).
% 0.16/0.54 fof(f383,plain,(
% 0.16/0.54 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=app(U,V)<=>(nil=V&nil=U)))))),
% 0.16/0.54 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 0.16/0.54 fof(f384,plain,(
% 0.16/0.54 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~nil=app(U,V)|(nil=V&nil=U))&(nil=app(U,V)|(~nil=V|~nil=U))))))),
% 0.16/0.54 inference(NNF_transformation,[status(esa)],[f383])).
% 0.16/0.54 fof(f385,plain,(
% 0.16/0.54 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X1)),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f384])).
% 0.16/0.54 fof(f386,plain,(
% 0.16/0.54 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X0)),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f384])).
% 0.16/0.54 fof(f387,plain,(
% 0.16/0.54 ![X0,X1]: (~ssList(X0)|~ssList(X1)|nil=app(X0,X1)|~nil=X1|~nil=X0)),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f384])).
% 0.16/0.54 fof(f388,plain,(
% 0.16/0.54 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.16/0.54 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.16/0.54 fof(f389,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f388])).
% 0.16/0.54 fof(f392,plain,(
% 0.16/0.54 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=U|tl(app(U,V))=app(tl(U),V)))))),
% 0.16/0.54 inference(pre_NNF_transformation,[status(esa)],[f86])).
% 0.16/0.54 fof(f393,plain,(
% 0.16/0.54 ![X0,X1]: (~ssList(X0)|~ssList(X1)|nil=X0|tl(app(X0,X1))=app(tl(X0),X1))),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f392])).
% 0.16/0.54 fof(f415,plain,(
% 0.16/0.54 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(((neq(V,nil)&(![Y]: ((~ssList(Y)|X=Y)|(![Z]: (((~ssList(Z)|~tl(X)=Z)|~app(W,Z)=Y)|~neq(nil,X))))))&(![X1]: (~ssItem(X1)|(![X2]: ((~ssList(X2)|~cons(X1,nil)=U)|~app(cons(X1,nil),X2)=V)))))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 0.16/0.54 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.16/0.54 fof(f416,plain,(
% 0.16/0.54 ![U,V,W,X]: (pd0_0(X,W,V,U)=>((neq(V,nil)&(![Y]: ((~ssList(Y)|X=Y)|(![Z]: (((~ssList(Z)|~tl(X)=Z)|~app(W,Z)=Y)|~neq(nil,X))))))&(![X1]: (~ssItem(X1)|(![X2]: ((~ssList(X2)|~cons(X1,nil)=U)|~app(cons(X1,nil),X2)=V))))))),
% 0.16/0.54 introduced(predicate_definition,[f415])).
% 0.16/0.54 fof(f417,plain,(
% 0.16/0.54 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(pd0_0(X,W,V,U)|(neq(V,nil)&~neq(X,nil)))))))))))),
% 0.16/0.54 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.16/0.54 fof(f418,plain,(
% 0.16/0.54 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((sk0_48=sk0_50&sk0_47=sk0_49)&(pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|(neq(sk0_48,nil)&~neq(sk0_50,nil))))))))),
% 0.16/0.54 inference(skolemization,[status(esa)],[f417])).
% 0.16/0.54 fof(f419,plain,(
% 0.16/0.54 ssList(sk0_47)),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.54 fof(f420,plain,(
% 0.16/0.54 ssList(sk0_48)),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.54 fof(f423,plain,(
% 0.16/0.54 sk0_48=sk0_50),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.54 fof(f424,plain,(
% 0.16/0.54 sk0_47=sk0_49),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.54 fof(f425,plain,(
% 0.16/0.54 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.54 fof(f426,plain,(
% 0.16/0.54 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~neq(sk0_50,nil)),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f418])).
% 0.16/0.54 fof(f427,plain,(
% 0.16/0.54 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: ((~ssList(Y)|X=Y)|(![Z]: (((~ssList(Z)|~tl(X)=Z)|~app(W,Z)=Y)|~neq(nil,X))))))&(![X1]: (~ssItem(X1)|(![X2]: ((~ssList(X2)|~cons(X1,nil)=U)|~app(cons(X1,nil),X2)=V))))))),
% 0.16/0.54 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.16/0.54 fof(f428,plain,(
% 0.16/0.54 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: ((~ssList(Y)|X=Y)|((![Z]: ((~ssList(Z)|~tl(X)=Z)|~app(W,Z)=Y))|~neq(nil,X)))))&(![X1]: (~ssItem(X1)|(![X2]: ((~ssList(X2)|~cons(X1,nil)=U)|~app(cons(X1,nil),X2)=V))))))),
% 0.16/0.54 inference(miniscoping,[status(esa)],[f427])).
% 0.16/0.54 fof(f429,plain,(
% 0.16/0.54 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|neq(X2,nil))),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f428])).
% 0.16/0.54 fof(f430,plain,(
% 0.16/0.54 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3)|~ssList(X4)|X0=X4|~ssList(X5)|~tl(X0)=X5|~app(X1,X5)=X4|~neq(nil,X0))),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f428])).
% 0.16/0.54 fof(f431,plain,(
% 0.16/0.54 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3)|~ssItem(X4)|~ssList(X5)|~cons(X4,nil)=X3|~app(cons(X4,nil),X5)=X2)),
% 0.16/0.54 inference(cnf_transformation,[status(esa)],[f428])).
% 0.16/0.54 fof(f432,plain,(
% 0.16/0.54 spl0_0 <=> pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f433,plain,(
% 0.16/0.54 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.16/0.54 inference(component_clause,[status(thm)],[f432])).
% 0.16/0.54 fof(f435,plain,(
% 0.16/0.54 spl0_1 <=> neq(sk0_48,nil)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f436,plain,(
% 0.16/0.54 neq(sk0_48,nil)|~spl0_1),
% 0.16/0.54 inference(component_clause,[status(thm)],[f435])).
% 0.16/0.54 fof(f438,plain,(
% 0.16/0.54 spl0_0|spl0_1),
% 0.16/0.54 inference(split_clause,[status(thm)],[f425,f432,f435])).
% 0.16/0.54 fof(f439,plain,(
% 0.16/0.54 spl0_2 <=> neq(sk0_50,nil)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f441,plain,(
% 0.16/0.54 ~neq(sk0_50,nil)|spl0_2),
% 0.16/0.54 inference(component_clause,[status(thm)],[f439])).
% 0.16/0.54 fof(f442,plain,(
% 0.16/0.54 spl0_0|~spl0_2),
% 0.16/0.54 inference(split_clause,[status(thm)],[f426,f432,f439])).
% 0.16/0.54 fof(f446,plain,(
% 0.16/0.54 ![X0]: (~ssList(cons(X0,nil))|singletonP(cons(X0,nil))|~ssItem(X0))),
% 0.16/0.54 inference(destructive_equality_resolution,[status(esa)],[f118])).
% 0.16/0.54 fof(f447,plain,(
% 0.16/0.54 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 0.16/0.54 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 0.16/0.54 fof(f448,plain,(
% 0.16/0.54 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X1)|rearsegP(app(X0,X1),X1)|~ssList(X0))),
% 0.16/0.54 inference(destructive_equality_resolution,[status(esa)],[f130])).
% 0.16/0.54 fof(f449,plain,(
% 0.16/0.54 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.16/0.54 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.16/0.54 fof(f458,plain,(
% 0.16/0.54 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.16/0.54 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.16/0.54 fof(f459,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.16/0.54 inference(duplicate_literals_removal,[status(esa)],[f458])).
% 0.16/0.54 fof(f469,plain,(
% 0.16/0.54 ~ssList(nil)|~ssList(nil)|nil=app(nil,nil)),
% 0.16/0.54 inference(destructive_equality_resolution,[status(esa)],[f387])).
% 0.16/0.54 fof(f470,plain,(
% 0.16/0.54 ~ssList(nil)|nil=app(nil,nil)),
% 0.16/0.54 inference(duplicate_literals_removal,[status(esa)],[f469])).
% 0.16/0.54 fof(f473,plain,(
% 0.16/0.54 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|~ssList(app(X1,tl(X0)))|X0=app(X1,tl(X0))|~ssList(tl(X0))|~neq(nil,X0))),
% 0.16/0.54 inference(destructive_equality_resolution,[status(esa)],[f430])).
% 0.16/0.54 fof(f474,plain,(
% 0.16/0.54 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,app(cons(X2,nil),X3),cons(X2,nil))|~ssItem(X2)|~ssList(X3))),
% 0.16/0.54 inference(destructive_equality_resolution,[status(esa)],[f431])).
% 0.16/0.54 fof(f477,plain,(
% 0.16/0.54 ~neq(sk0_48,nil)|spl0_2),
% 0.16/0.54 inference(forward_demodulation,[status(thm)],[f423,f441])).
% 0.16/0.54 fof(f478,plain,(
% 0.16/0.54 pd0_0(sk0_48,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.16/0.54 inference(forward_demodulation,[status(thm)],[f423,f433])).
% 0.16/0.54 fof(f479,plain,(
% 0.16/0.54 pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 0.16/0.54 inference(forward_demodulation,[status(thm)],[f424,f478])).
% 0.16/0.54 fof(f480,plain,(
% 0.16/0.54 neq(sk0_48,nil)|~spl0_0),
% 0.16/0.54 inference(resolution,[status(thm)],[f479,f429])).
% 0.16/0.54 fof(f483,plain,(
% 0.16/0.54 $false|spl0_2|~spl0_1),
% 0.16/0.54 inference(forward_subsumption_resolution,[status(thm)],[f436,f477])).
% 0.16/0.54 fof(f484,plain,(
% 0.16/0.54 spl0_2|~spl0_1),
% 0.16/0.54 inference(contradiction_clause,[status(thm)],[f483])).
% 0.16/0.54 fof(f487,plain,(
% 0.16/0.54 spl0_3 <=> ssList(app(sk0_47,tl(sk0_48)))),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f489,plain,(
% 0.16/0.54 ~ssList(app(sk0_47,tl(sk0_48)))|spl0_3),
% 0.16/0.54 inference(component_clause,[status(thm)],[f487])).
% 0.16/0.54 fof(f490,plain,(
% 0.16/0.54 spl0_4 <=> sk0_48=app(sk0_47,tl(sk0_48))),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f491,plain,(
% 0.16/0.54 sk0_48=app(sk0_47,tl(sk0_48))|~spl0_4),
% 0.16/0.54 inference(component_clause,[status(thm)],[f490])).
% 0.16/0.54 fof(f493,plain,(
% 0.16/0.54 spl0_5 <=> ssList(tl(sk0_48))),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f495,plain,(
% 0.16/0.54 ~ssList(tl(sk0_48))|spl0_5),
% 0.16/0.54 inference(component_clause,[status(thm)],[f493])).
% 0.16/0.54 fof(f496,plain,(
% 0.16/0.54 spl0_6 <=> neq(nil,sk0_48)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f498,plain,(
% 0.16/0.54 ~neq(nil,sk0_48)|spl0_6),
% 0.16/0.54 inference(component_clause,[status(thm)],[f496])).
% 0.16/0.54 fof(f499,plain,(
% 0.16/0.54 ~ssList(app(sk0_47,tl(sk0_48)))|sk0_48=app(sk0_47,tl(sk0_48))|~ssList(tl(sk0_48))|~neq(nil,sk0_48)|~spl0_0),
% 0.16/0.54 inference(resolution,[status(thm)],[f473,f479])).
% 0.16/0.54 fof(f500,plain,(
% 0.16/0.54 ~spl0_3|spl0_4|~spl0_5|~spl0_6|~spl0_0),
% 0.16/0.54 inference(split_clause,[status(thm)],[f499,f487,f490,f493,f496,f432])).
% 0.16/0.54 fof(f507,plain,(
% 0.16/0.54 spl0_9 <=> nil=sk0_48),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f508,plain,(
% 0.16/0.54 nil=sk0_48|~spl0_9),
% 0.16/0.54 inference(component_clause,[status(thm)],[f507])).
% 0.16/0.54 fof(f512,plain,(
% 0.16/0.54 spl0_10 <=> ssList(sk0_48)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f514,plain,(
% 0.16/0.54 ~ssList(sk0_48)|spl0_10),
% 0.16/0.54 inference(component_clause,[status(thm)],[f512])).
% 0.16/0.54 fof(f515,plain,(
% 0.16/0.54 ~ssList(sk0_48)|nil=sk0_48|spl0_5),
% 0.16/0.54 inference(resolution,[status(thm)],[f241,f495])).
% 0.16/0.54 fof(f516,plain,(
% 0.16/0.54 ~spl0_10|spl0_9|spl0_5),
% 0.16/0.54 inference(split_clause,[status(thm)],[f515,f512,f507,f493])).
% 0.16/0.54 fof(f517,plain,(
% 0.16/0.54 $false|spl0_10),
% 0.16/0.54 inference(forward_subsumption_resolution,[status(thm)],[f514,f420])).
% 0.16/0.54 fof(f518,plain,(
% 0.16/0.54 spl0_10),
% 0.16/0.54 inference(contradiction_clause,[status(thm)],[f517])).
% 0.16/0.54 fof(f521,plain,(
% 0.16/0.54 neq(nil,nil)|~spl0_9|~spl0_0),
% 0.16/0.54 inference(backward_demodulation,[status(thm)],[f508,f480])).
% 0.16/0.54 fof(f524,plain,(
% 0.16/0.54 ~ssList(nil)|~spl0_9|~spl0_0),
% 0.16/0.54 inference(resolution,[status(thm)],[f521,f459])).
% 0.16/0.54 fof(f525,plain,(
% 0.16/0.54 $false|~spl0_9|~spl0_0),
% 0.16/0.54 inference(forward_subsumption_resolution,[status(thm)],[f524,f223])).
% 0.16/0.54 fof(f526,plain,(
% 0.16/0.54 ~spl0_9|~spl0_0),
% 0.16/0.54 inference(contradiction_clause,[status(thm)],[f525])).
% 0.16/0.54 fof(f530,plain,(
% 0.16/0.54 spl0_11 <=> ssList(sk0_47)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f532,plain,(
% 0.16/0.54 ~ssList(sk0_47)|spl0_11),
% 0.16/0.54 inference(component_clause,[status(thm)],[f530])).
% 0.16/0.54 fof(f533,plain,(
% 0.16/0.54 ~ssList(sk0_47)|~ssList(tl(sk0_48))|spl0_3),
% 0.16/0.54 inference(resolution,[status(thm)],[f245,f489])).
% 0.16/0.54 fof(f534,plain,(
% 0.16/0.54 ~spl0_11|~spl0_5|spl0_3),
% 0.16/0.54 inference(split_clause,[status(thm)],[f533,f530,f493,f487])).
% 0.16/0.54 fof(f535,plain,(
% 0.16/0.54 $false|spl0_11),
% 0.16/0.54 inference(forward_subsumption_resolution,[status(thm)],[f532,f419])).
% 0.16/0.54 fof(f536,plain,(
% 0.16/0.54 spl0_11),
% 0.16/0.54 inference(contradiction_clause,[status(thm)],[f535])).
% 0.16/0.54 fof(f540,plain,(
% 0.16/0.54 nil=app(nil,nil)),
% 0.16/0.54 inference(forward_subsumption_resolution,[status(thm)],[f470,f223])).
% 0.16/0.54 fof(f541,plain,(
% 0.16/0.54 spl0_12 <=> ssList(nil)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f543,plain,(
% 0.16/0.54 ~ssList(nil)|spl0_12),
% 0.16/0.54 inference(component_clause,[status(thm)],[f541])).
% 0.16/0.54 fof(f546,plain,(
% 0.16/0.54 spl0_13 <=> nil=nil),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f554,plain,(
% 0.16/0.54 spl0_15 <=> nil=sk0_47),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f555,plain,(
% 0.16/0.54 nil=sk0_47|~spl0_15),
% 0.16/0.54 inference(component_clause,[status(thm)],[f554])).
% 0.16/0.54 fof(f557,plain,(
% 0.16/0.54 spl0_16 <=> tl(sk0_48)=app(tl(sk0_47),tl(sk0_48))),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f558,plain,(
% 0.16/0.54 tl(sk0_48)=app(tl(sk0_47),tl(sk0_48))|~spl0_16),
% 0.16/0.54 inference(component_clause,[status(thm)],[f557])).
% 0.16/0.54 fof(f560,plain,(
% 0.16/0.54 ~ssList(sk0_47)|~ssList(tl(sk0_48))|nil=sk0_47|tl(sk0_48)=app(tl(sk0_47),tl(sk0_48))|~spl0_4),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f491,f393])).
% 0.16/0.54 fof(f561,plain,(
% 0.16/0.54 ~spl0_11|~spl0_5|spl0_15|spl0_16|~spl0_4),
% 0.16/0.54 inference(split_clause,[status(thm)],[f560,f530,f493,f554,f557,f490])).
% 0.16/0.54 fof(f562,plain,(
% 0.16/0.54 $false|spl0_12),
% 0.16/0.54 inference(forward_subsumption_resolution,[status(thm)],[f543,f223])).
% 0.16/0.54 fof(f563,plain,(
% 0.16/0.54 spl0_12),
% 0.16/0.54 inference(contradiction_clause,[status(thm)],[f562])).
% 0.16/0.54 fof(f564,plain,(
% 0.16/0.54 sk0_48=app(nil,tl(sk0_48))|~spl0_15|~spl0_4),
% 0.16/0.54 inference(backward_demodulation,[status(thm)],[f555,f491])).
% 0.16/0.54 fof(f576,plain,(
% 0.16/0.54 spl0_18 <=> ssList(app(nil,tl(sk0_48)))),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f578,plain,(
% 0.16/0.54 ~ssList(app(nil,tl(sk0_48)))|spl0_18),
% 0.16/0.54 inference(component_clause,[status(thm)],[f576])).
% 0.16/0.54 fof(f585,plain,(
% 0.16/0.54 ~ssList(nil)|~ssList(sk0_48)|nil=sk0_48|spl0_6),
% 0.16/0.54 inference(resolution,[status(thm)],[f498,f220])).
% 0.16/0.54 fof(f586,plain,(
% 0.16/0.54 ~spl0_12|~spl0_10|spl0_9|spl0_6),
% 0.16/0.54 inference(split_clause,[status(thm)],[f585,f541,f512,f507,f496])).
% 0.16/0.54 fof(f592,plain,(
% 0.16/0.54 ~ssList(nil)|~ssList(tl(sk0_48))|spl0_18),
% 0.16/0.54 inference(resolution,[status(thm)],[f578,f245])).
% 0.16/0.54 fof(f593,plain,(
% 0.16/0.54 ~spl0_12|~spl0_5|spl0_18),
% 0.16/0.54 inference(split_clause,[status(thm)],[f592,f541,f493,f576])).
% 0.16/0.54 fof(f606,plain,(
% 0.16/0.54 spl0_20 <=> sk0_48=tl(sk0_48)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f607,plain,(
% 0.16/0.54 sk0_48=tl(sk0_48)|~spl0_20),
% 0.16/0.54 inference(component_clause,[status(thm)],[f606])).
% 0.16/0.54 fof(f609,plain,(
% 0.16/0.54 ~ssList(tl(sk0_48))|sk0_48=tl(sk0_48)|~spl0_15|~spl0_4),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f564,f249])).
% 0.16/0.54 fof(f610,plain,(
% 0.16/0.54 ~spl0_5|spl0_20|~spl0_15|~spl0_4),
% 0.16/0.54 inference(split_clause,[status(thm)],[f609,f493,f606,f554,f490])).
% 0.16/0.54 fof(f611,plain,(
% 0.16/0.54 ~ssList(nil)|nil=nil),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f540,f249])).
% 0.16/0.54 fof(f612,plain,(
% 0.16/0.54 ~spl0_12|spl0_13),
% 0.16/0.54 inference(split_clause,[status(thm)],[f611,f541,f546])).
% 0.16/0.54 fof(f613,plain,(
% 0.16/0.54 sk0_48=app(nil,sk0_48)|~spl0_20|~spl0_15|~spl0_4),
% 0.16/0.54 inference(backward_demodulation,[status(thm)],[f607,f564])).
% 0.16/0.54 fof(f617,plain,(
% 0.16/0.54 spl0_21 <=> sk0_48=sk0_48),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f642,plain,(
% 0.16/0.54 spl0_25 <=> cons(hd(sk0_48),sk0_48)=sk0_48),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f643,plain,(
% 0.16/0.54 cons(hd(sk0_48),sk0_48)=sk0_48|~spl0_25),
% 0.16/0.54 inference(component_clause,[status(thm)],[f642])).
% 0.16/0.54 fof(f645,plain,(
% 0.16/0.54 ~ssList(sk0_48)|nil=sk0_48|cons(hd(sk0_48),sk0_48)=sk0_48|~spl0_20),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f607,f374])).
% 0.16/0.54 fof(f646,plain,(
% 0.16/0.54 ~spl0_10|spl0_9|spl0_25|~spl0_20),
% 0.16/0.54 inference(split_clause,[status(thm)],[f645,f512,f507,f642,f606])).
% 0.16/0.54 fof(f647,plain,(
% 0.16/0.54 spl0_26 <=> ssItem(hd(sk0_48))),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f649,plain,(
% 0.16/0.54 ~ssItem(hd(sk0_48))|spl0_26),
% 0.16/0.54 inference(component_clause,[status(thm)],[f647])).
% 0.16/0.54 fof(f650,plain,(
% 0.16/0.54 ~ssList(sk0_48)|~ssItem(hd(sk0_48))|~spl0_25),
% 0.16/0.54 inference(resolution,[status(thm)],[f643,f225])).
% 0.16/0.54 fof(f651,plain,(
% 0.16/0.54 ~spl0_10|~spl0_26|~spl0_25),
% 0.16/0.54 inference(split_clause,[status(thm)],[f650,f512,f647,f642])).
% 0.16/0.54 fof(f680,plain,(
% 0.16/0.54 spl0_27 <=> ~ssList(X0)|~ssList(app(X0,nil))|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f683,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(X0,nil))|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.16/0.54 inference(resolution,[status(thm)],[f376,f389])).
% 0.16/0.54 fof(f684,plain,(
% 0.16/0.54 spl0_27|~spl0_12),
% 0.16/0.54 inference(split_clause,[status(thm)],[f683,f680,f541])).
% 0.16/0.54 fof(f687,plain,(
% 0.16/0.54 spl0_28 <=> ~ssList(X0)|~sk0_48=app(X0,sk0_48)|nil=X0),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f688,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|~sk0_48=app(X0,sk0_48)|nil=X0|~spl0_28)),
% 0.16/0.54 inference(component_clause,[status(thm)],[f687])).
% 0.16/0.54 fof(f690,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|~ssList(sk0_48)|~ssList(nil)|~sk0_48=app(X0,sk0_48)|nil=X0|~spl0_20|~spl0_15|~spl0_4)),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f613,f376])).
% 0.16/0.54 fof(f691,plain,(
% 0.16/0.54 spl0_28|~spl0_10|~spl0_12|~spl0_20|~spl0_15|~spl0_4),
% 0.16/0.54 inference(split_clause,[status(thm)],[f690,f687,f512,f541,f606,f554,f490])).
% 0.16/0.54 fof(f692,plain,(
% 0.16/0.54 spl0_29 <=> ~ssList(X0)|~nil=app(X0,nil)|nil=X0),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f695,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|~nil=app(X0,nil)|nil=X0)),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f540,f376])).
% 0.16/0.54 fof(f696,plain,(
% 0.16/0.54 spl0_29|~spl0_12),
% 0.16/0.54 inference(split_clause,[status(thm)],[f695,f692,f541])).
% 0.16/0.54 fof(f701,plain,(
% 0.16/0.54 spl0_30 <=> ~ssList(X0)|~ssList(X0)|X0=X0),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f704,plain,(
% 0.16/0.54 spl0_31 <=> ~ssList(X1)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f705,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|~spl0_31)),
% 0.16/0.54 inference(component_clause,[status(thm)],[f704])).
% 0.16/0.54 fof(f707,plain,(
% 0.16/0.54 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(X0)|X0=X0)),
% 0.16/0.54 inference(equality_resolution,[status(esa)],[f376])).
% 0.16/0.54 fof(f708,plain,(
% 0.16/0.54 spl0_30|spl0_31),
% 0.16/0.54 inference(split_clause,[status(thm)],[f707,f701,f704])).
% 0.16/0.54 fof(f724,plain,(
% 0.16/0.54 spl0_32 <=> ~ssList(X0)|~ssList(app(nil,X0))|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f727,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(nil,X0))|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.16/0.54 inference(resolution,[status(thm)],[f378,f249])).
% 0.16/0.54 fof(f728,plain,(
% 0.16/0.54 spl0_32|~spl0_12),
% 0.16/0.54 inference(split_clause,[status(thm)],[f727,f724,f541])).
% 0.16/0.54 fof(f731,plain,(
% 0.16/0.54 spl0_33 <=> ~ssList(X0)|~sk0_48=app(nil,X0)|sk0_48=X0),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f734,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk0_48)|~sk0_48=app(nil,X0)|sk0_48=X0|~spl0_20|~spl0_15|~spl0_4)),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f613,f378])).
% 0.16/0.54 fof(f735,plain,(
% 0.16/0.54 spl0_33|~spl0_12|~spl0_10|~spl0_20|~spl0_15|~spl0_4),
% 0.16/0.54 inference(split_clause,[status(thm)],[f734,f731,f541,f512,f606,f554,f490])).
% 0.16/0.54 fof(f736,plain,(
% 0.16/0.54 spl0_34 <=> ~ssList(X0)|~nil=app(nil,X0)|nil=X0),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f737,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|~nil=app(nil,X0)|nil=X0|~spl0_34)),
% 0.16/0.54 inference(component_clause,[status(thm)],[f736])).
% 0.16/0.54 fof(f739,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|~nil=app(nil,X0)|nil=X0)),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f540,f378])).
% 0.16/0.54 fof(f740,plain,(
% 0.16/0.54 spl0_34|~spl0_12),
% 0.16/0.54 inference(split_clause,[status(thm)],[f739,f736,f541])).
% 0.16/0.54 fof(f777,plain,(
% 0.16/0.54 spl0_36 <=> ~ssList(X0)|~ssList(X0)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f778,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_36)),
% 0.16/0.54 inference(component_clause,[status(thm)],[f777])).
% 0.16/0.54 fof(f780,plain,(
% 0.16/0.54 spl0_37 <=> ~ssItem(X1)|~ssItem(X1)|X1=X1),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f783,plain,(
% 0.16/0.54 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X1=X1)),
% 0.16/0.54 inference(equality_resolution,[status(esa)],[f227])).
% 0.16/0.54 fof(f784,plain,(
% 0.16/0.54 spl0_36|spl0_37),
% 0.16/0.54 inference(split_clause,[status(thm)],[f783,f777,f780])).
% 0.16/0.54 fof(f785,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|~spl0_36)),
% 0.16/0.54 inference(duplicate_literals_removal,[status(esa)],[f778])).
% 0.16/0.54 fof(f786,plain,(
% 0.16/0.54 $false|~spl0_36),
% 0.16/0.54 inference(backward_subsumption_resolution,[status(thm)],[f420,f785])).
% 0.16/0.54 fof(f787,plain,(
% 0.16/0.54 ~spl0_36),
% 0.16/0.54 inference(contradiction_clause,[status(thm)],[f786])).
% 0.16/0.54 fof(f863,plain,(
% 0.16/0.54 spl0_39 <=> ~ssItem(X1)|~ssItem(X1)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f864,plain,(
% 0.16/0.54 ![X0]: (~ssItem(X0)|~ssItem(X0)|~spl0_39)),
% 0.16/0.54 inference(component_clause,[status(thm)],[f863])).
% 0.16/0.54 fof(f884,plain,(
% 0.16/0.54 spl0_42 <=> ~ssList(X0)|app(sk0_48,X0)=app(nil,app(sk0_48,X0))),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f887,plain,(
% 0.16/0.54 ![X0]: (~ssList(nil)|~ssList(sk0_48)|~ssList(X0)|app(sk0_48,X0)=app(nil,app(sk0_48,X0))|~spl0_20|~spl0_15|~spl0_4)),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f613,f382])).
% 0.16/0.54 fof(f888,plain,(
% 0.16/0.54 ~spl0_12|~spl0_10|spl0_42|~spl0_20|~spl0_15|~spl0_4),
% 0.16/0.54 inference(split_clause,[status(thm)],[f887,f541,f512,f884,f606,f554,f490])).
% 0.16/0.54 fof(f889,plain,(
% 0.16/0.54 spl0_43 <=> ~ssList(X0)|app(nil,X0)=app(nil,app(nil,X0))),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f892,plain,(
% 0.16/0.54 ![X0]: (~ssList(nil)|~ssList(nil)|~ssList(X0)|app(nil,X0)=app(nil,app(nil,X0)))),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f540,f382])).
% 0.16/0.54 fof(f893,plain,(
% 0.16/0.54 ~spl0_12|spl0_43),
% 0.16/0.54 inference(split_clause,[status(thm)],[f892,f541,f889])).
% 0.16/0.54 fof(f930,plain,(
% 0.16/0.54 ~ssList(sk0_48)|nil=sk0_48|spl0_26),
% 0.16/0.54 inference(resolution,[status(thm)],[f237,f649])).
% 0.16/0.54 fof(f931,plain,(
% 0.16/0.54 ~spl0_10|spl0_9|spl0_26),
% 0.16/0.54 inference(split_clause,[status(thm)],[f930,f512,f507,f647])).
% 0.16/0.54 fof(f936,plain,(
% 0.16/0.54 spl0_44 <=> ssList(tl(sk0_47))),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f938,plain,(
% 0.16/0.54 ~ssList(tl(sk0_47))|spl0_44),
% 0.16/0.54 inference(component_clause,[status(thm)],[f936])).
% 0.16/0.54 fof(f939,plain,(
% 0.16/0.54 spl0_45 <=> ~ssList(X0)|~app(X0,tl(sk0_48))=tl(sk0_48)|X0=tl(sk0_47)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f940,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|~app(X0,tl(sk0_48))=tl(sk0_48)|X0=tl(sk0_47)|~spl0_45)),
% 0.16/0.54 inference(component_clause,[status(thm)],[f939])).
% 0.16/0.54 fof(f942,plain,(
% 0.16/0.54 ![X0]: (~ssList(tl(sk0_47))|~ssList(tl(sk0_48))|~ssList(X0)|~app(X0,tl(sk0_48))=tl(sk0_48)|X0=tl(sk0_47)|~spl0_16)),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f558,f376])).
% 0.16/0.54 fof(f943,plain,(
% 0.16/0.54 ~spl0_44|~spl0_5|spl0_45|~spl0_16),
% 0.16/0.54 inference(split_clause,[status(thm)],[f942,f936,f493,f939,f557])).
% 0.16/0.54 fof(f961,plain,(
% 0.16/0.54 spl0_49 <=> nil=tl(sk0_47)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f962,plain,(
% 0.16/0.54 nil=tl(sk0_47)|~spl0_49),
% 0.16/0.54 inference(component_clause,[status(thm)],[f961])).
% 0.16/0.54 fof(f973,plain,(
% 0.16/0.54 ~ssList(sk0_47)|nil=sk0_47|spl0_44),
% 0.16/0.54 inference(resolution,[status(thm)],[f938,f241])).
% 0.16/0.54 fof(f974,plain,(
% 0.16/0.54 ~spl0_11|spl0_15|spl0_44),
% 0.16/0.54 inference(split_clause,[status(thm)],[f973,f530,f554,f936])).
% 0.16/0.54 fof(f976,plain,(
% 0.16/0.54 spl0_51 <=> ~ssList(X0)|nil=X0|~hd(X0)=hd(sk0_47)|~tl(X0)=nil|X0=sk0_47),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f977,plain,(
% 0.16/0.54 ![X0]: (~ssList(X0)|nil=X0|~hd(X0)=hd(sk0_47)|~tl(X0)=nil|X0=sk0_47|~spl0_51)),
% 0.16/0.54 inference(component_clause,[status(thm)],[f976])).
% 0.16/0.54 fof(f979,plain,(
% 0.16/0.54 ![X0]: (~ssList(sk0_47)|~ssList(X0)|nil=X0|nil=sk0_47|~hd(X0)=hd(sk0_47)|~tl(X0)=nil|X0=sk0_47|~spl0_49)),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f962,f372])).
% 0.16/0.54 fof(f980,plain,(
% 0.16/0.54 ~spl0_11|spl0_51|spl0_15|~spl0_49),
% 0.16/0.54 inference(split_clause,[status(thm)],[f979,f530,f976,f554,f961])).
% 0.16/0.54 fof(f1022,plain,(
% 0.16/0.54 spl0_55 <=> ~ssItem(X0)|memberP(nil,X0)|~memberP(nil,X0)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f1025,plain,(
% 0.16/0.54 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(nil)|memberP(nil,X0)|~memberP(nil,X0))),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f540,f271])).
% 0.16/0.54 fof(f1026,plain,(
% 0.16/0.54 spl0_55|~spl0_12),
% 0.16/0.54 inference(split_clause,[status(thm)],[f1025,f1022,f541])).
% 0.16/0.54 fof(f1027,plain,(
% 0.16/0.54 spl0_56 <=> ~ssItem(X0)|memberP(tl(sk0_48),X0)|~memberP(tl(sk0_48),X0)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f1039,plain,(
% 0.16/0.54 spl0_58 <=> ~ssList(X0)|~frontsegP(nil,X0)|frontsegP(nil,X0)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f1042,plain,(
% 0.16/0.54 ![X0]: (~ssList(nil)|~ssList(X0)|~ssList(nil)|~frontsegP(nil,X0)|frontsegP(nil,X0))),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f540,f288])).
% 0.16/0.54 fof(f1043,plain,(
% 0.16/0.54 ~spl0_12|spl0_58),
% 0.16/0.54 inference(split_clause,[status(thm)],[f1042,f541,f1039])).
% 0.16/0.54 fof(f1044,plain,(
% 0.16/0.54 spl0_59 <=> ~ssList(X0)|~rearsegP(tl(sk0_48),X0)|rearsegP(tl(sk0_48),X0)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f1049,plain,(
% 0.16/0.54 spl0_60 <=> ~ssList(X0)|~rearsegP(nil,X0)|rearsegP(nil,X0)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f1052,plain,(
% 0.16/0.54 ![X0]: (~ssList(nil)|~ssList(X0)|~ssList(nil)|~rearsegP(nil,X0)|rearsegP(nil,X0))),
% 0.16/0.54 inference(paramodulation,[status(thm)],[f540,f307])).
% 0.16/0.54 fof(f1053,plain,(
% 0.16/0.54 ~spl0_12|spl0_60),
% 0.16/0.54 inference(split_clause,[status(thm)],[f1052,f541,f1049])).
% 0.16/0.54 fof(f1054,plain,(
% 0.16/0.54 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(app(X1,X2))|~ssList(X3)|~frontsegP(X0,app(X1,X2))|frontsegP(X0,X3)|~ssList(X1)|~ssList(X3)|~ssList(X2)|~frontsegP(X1,X3))),
% 0.16/0.54 inference(resolution,[status(thm)],[f282,f288])).
% 0.16/0.54 fof(f1055,plain,(
% 0.16/0.54 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(app(X1,X2))|~ssList(X3)|~frontsegP(X0,app(X1,X2))|frontsegP(X0,X3)|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X3))),
% 0.16/0.54 inference(duplicate_literals_removal,[status(esa)],[f1054])).
% 0.16/0.54 fof(f1056,plain,(
% 0.16/0.54 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,app(X2,X3))|frontsegP(X0,X1)|~ssList(X2)|~ssList(X3)|~frontsegP(X2,X1))),
% 0.16/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1055,f245])).
% 0.16/0.54 fof(f1057,plain,(
% 0.16/0.54 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(app(X1,X2))|~ssList(X3)|~rearsegP(X0,app(X1,X2))|rearsegP(X0,X3)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~rearsegP(X2,X3))),
% 0.16/0.54 inference(resolution,[status(thm)],[f301,f307])).
% 0.16/0.54 fof(f1058,plain,(
% 0.16/0.54 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(app(X1,X2))|~ssList(X3)|~rearsegP(X0,app(X1,X2))|rearsegP(X0,X3)|~ssList(X2)|~ssList(X1)|~rearsegP(X2,X3))),
% 0.16/0.54 inference(duplicate_literals_removal,[status(esa)],[f1057])).
% 0.16/0.54 fof(f1059,plain,(
% 0.16/0.54 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,app(X2,X3))|rearsegP(X0,X1)|~ssList(X3)|~ssList(X2)|~rearsegP(X3,X1))),
% 0.16/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1058,f245])).
% 0.16/0.54 fof(f1060,plain,(
% 0.16/0.54 spl0_61 <=> ~ssItem(X0)|~memberP(nil,X0)|~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=sk0_2(X0,nil)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f1063,plain,(
% 0.16/0.54 ![X0]: (~ssList(nil)|~ssItem(X0)|~memberP(nil,X0)|~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=sk0_2(X0,nil))),
% 0.16/0.54 inference(resolution,[status(thm)],[f111,f386])).
% 0.16/0.54 fof(f1064,plain,(
% 0.16/0.54 ~spl0_12|spl0_61),
% 0.16/0.54 inference(split_clause,[status(thm)],[f1063,f541,f1060])).
% 0.16/0.54 fof(f1065,plain,(
% 0.16/0.54 spl0_62 <=> ~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|sk0_4(cons(X0,X1))=X0),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f1068,plain,(
% 0.16/0.54 ![X0,X1]: (~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(nil)|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|sk0_4(cons(X0,X1))=X0)),
% 0.16/0.54 inference(resolution,[status(thm)],[f117,f227])).
% 0.16/0.54 fof(f1069,plain,(
% 0.16/0.54 spl0_62|~spl0_12),
% 0.16/0.54 inference(split_clause,[status(thm)],[f1068,f1065,f541])).
% 0.16/0.54 fof(f1070,plain,(
% 0.16/0.54 spl0_63 <=> ~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|X1=nil),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f1073,plain,(
% 0.16/0.54 ![X0,X1]: (~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(nil)|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|X1=nil)),
% 0.16/0.54 inference(resolution,[status(thm)],[f117,f228])).
% 0.16/0.54 fof(f1074,plain,(
% 0.16/0.54 spl0_63|~spl0_12),
% 0.16/0.54 inference(split_clause,[status(thm)],[f1073,f1070,f541])).
% 0.16/0.54 fof(f1091,plain,(
% 0.16/0.54 spl0_66 <=> singletonP(cons(X0,nil))|~ssItem(X0)|~ssItem(X0)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f1094,plain,(
% 0.16/0.54 ![X0]: (singletonP(cons(X0,nil))|~ssItem(X0)|~ssList(nil)|~ssItem(X0))),
% 0.16/0.54 inference(resolution,[status(thm)],[f446,f222])).
% 0.16/0.54 fof(f1095,plain,(
% 0.16/0.54 spl0_66|~spl0_12),
% 0.16/0.54 inference(split_clause,[status(thm)],[f1094,f1091,f541])).
% 0.16/0.54 fof(f1103,plain,(
% 0.16/0.54 spl0_67 <=> frontsegP(nil,nil)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f1106,plain,(
% 0.16/0.54 spl0_68 <=> ssList(sk0_5(nil,nil))),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f1108,plain,(
% 0.16/0.54 ~ssList(sk0_5(nil,nil))|spl0_68),
% 0.16/0.54 inference(component_clause,[status(thm)],[f1106])).
% 0.16/0.54 fof(f1109,plain,(
% 0.16/0.54 spl0_69 <=> nil=sk0_5(nil,nil)),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f1110,plain,(
% 0.16/0.54 nil=sk0_5(nil,nil)|~spl0_69),
% 0.16/0.54 inference(component_clause,[status(thm)],[f1109])).
% 0.16/0.54 fof(f1112,plain,(
% 0.16/0.54 ~ssList(nil)|~ssList(nil)|~frontsegP(nil,nil)|~ssList(sk0_5(nil,nil))|nil=sk0_5(nil,nil)|~spl0_34),
% 0.16/0.54 inference(resolution,[status(thm)],[f123,f737])).
% 0.16/0.54 fof(f1113,plain,(
% 0.16/0.54 ~spl0_12|~spl0_67|~spl0_68|spl0_69|~spl0_34),
% 0.16/0.54 inference(split_clause,[status(thm)],[f1112,f541,f1103,f1106,f1109,f736])).
% 0.16/0.54 fof(f1114,plain,(
% 0.16/0.54 spl0_70 <=> ~ssList(X0)|~frontsegP(nil,X0)|~ssList(X0)|~ssList(sk0_5(X0,nil))|nil=X0),
% 0.16/0.54 introduced(split_symbol_definition)).
% 0.16/0.54 fof(f1117,plain,(
% 0.16/0.54 ![X0]: (~ssList(nil)|~ssList(X0)|~frontsegP(nil,X0)|~ssList(X0)|~ssList(sk0_5(X0,nil))|nil=X0)),
% 0.16/0.55 inference(resolution,[status(thm)],[f123,f386])).
% 0.16/0.55 fof(f1118,plain,(
% 0.16/0.55 ~spl0_12|spl0_70),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1117,f541,f1114])).
% 0.16/0.55 fof(f1120,plain,(
% 0.16/0.55 ![X0,X1]: (~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 0.16/0.55 inference(forward_subsumption_resolution,[status(thm)],[f447,f245])).
% 0.16/0.55 fof(f1121,plain,(
% 0.16/0.55 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(X0,X1))|~ssList(X0)|~frontsegP(X2,app(X0,X1))|frontsegP(X2,X0))),
% 0.16/0.55 inference(resolution,[status(thm)],[f1120,f282])).
% 0.16/0.55 fof(f1122,plain,(
% 0.16/0.55 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(X0,X1))|~frontsegP(X2,app(X0,X1))|frontsegP(X2,X0))),
% 0.16/0.55 inference(duplicate_literals_removal,[status(esa)],[f1121])).
% 0.16/0.55 fof(f1123,plain,(
% 0.16/0.55 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X2,app(X0,X1))|frontsegP(X2,X0))),
% 0.16/0.55 inference(forward_subsumption_resolution,[status(thm)],[f1122,f245])).
% 0.16/0.55 fof(f1129,plain,(
% 0.16/0.55 ~ssList(nil)|frontsegP(nil,nil)|~ssList(nil)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f540,f1120])).
% 0.16/0.55 fof(f1130,plain,(
% 0.16/0.55 ~spl0_12|spl0_67),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1129,f541,f1103])).
% 0.16/0.55 fof(f1131,plain,(
% 0.16/0.55 spl0_72 <=> ~ssList(cons(hd(sk0_47),X0))|nil=cons(hd(sk0_47),X0)|~tl(cons(hd(sk0_47),X0))=nil|cons(hd(sk0_47),X0)=sk0_47|~ssList(X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1134,plain,(
% 0.16/0.55 spl0_73 <=> ssItem(hd(sk0_47))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1135,plain,(
% 0.16/0.55 ssItem(hd(sk0_47))|~spl0_73),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1134])).
% 0.16/0.55 fof(f1136,plain,(
% 0.16/0.55 ~ssItem(hd(sk0_47))|spl0_73),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1134])).
% 0.16/0.55 fof(f1137,plain,(
% 0.16/0.55 ![X0]: (~ssList(cons(hd(sk0_47),X0))|nil=cons(hd(sk0_47),X0)|~tl(cons(hd(sk0_47),X0))=nil|cons(hd(sk0_47),X0)=sk0_47|~ssList(X0)|~ssItem(hd(sk0_47))|~spl0_51)),
% 0.16/0.55 inference(resolution,[status(thm)],[f977,f239])).
% 0.16/0.55 fof(f1138,plain,(
% 0.16/0.55 spl0_72|~spl0_73|~spl0_51),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1137,f1131,f1134,f976])).
% 0.16/0.55 fof(f1139,plain,(
% 0.16/0.55 spl0_74 <=> sk0_47=sk0_47),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1144,plain,(
% 0.16/0.55 ~ssList(sk0_47)|nil=sk0_47|spl0_73),
% 0.16/0.55 inference(resolution,[status(thm)],[f1136,f237])).
% 0.16/0.55 fof(f1145,plain,(
% 0.16/0.55 ~spl0_11|spl0_15|spl0_73),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1144,f530,f554,f1134])).
% 0.16/0.55 fof(f1146,plain,(
% 0.16/0.55 spl0_75 <=> frontsegP(sk0_48,sk0_47)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1147,plain,(
% 0.16/0.55 frontsegP(sk0_48,sk0_47)|~spl0_75),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1146])).
% 0.16/0.55 fof(f1149,plain,(
% 0.16/0.55 ~ssList(sk0_47)|frontsegP(sk0_48,sk0_47)|~ssList(tl(sk0_48))|~spl0_4),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f491,f1120])).
% 0.16/0.55 fof(f1150,plain,(
% 0.16/0.55 ~spl0_11|spl0_75|~spl0_5|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1149,f530,f1146,f493,f490])).
% 0.16/0.55 fof(f1151,plain,(
% 0.16/0.55 spl0_76 <=> ~ssList(X0)|~rearsegP(tl(sk0_48),X0)|rearsegP(sk0_48,X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1152,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~rearsegP(tl(sk0_48),X0)|rearsegP(sk0_48,X0)|~spl0_76)),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1151])).
% 0.16/0.55 fof(f1154,plain,(
% 0.16/0.55 ![X0]: (~ssList(tl(sk0_48))|~ssList(X0)|~ssList(sk0_47)|~rearsegP(tl(sk0_48),X0)|rearsegP(sk0_48,X0)|~spl0_4)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f491,f307])).
% 0.16/0.55 fof(f1155,plain,(
% 0.16/0.55 ~spl0_5|spl0_76|~spl0_11|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1154,f493,f1151,f530,f490])).
% 0.16/0.55 fof(f1156,plain,(
% 0.16/0.55 spl0_77 <=> ~ssList(X0)|~frontsegP(sk0_47,X0)|frontsegP(sk0_48,X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1157,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~frontsegP(sk0_47,X0)|frontsegP(sk0_48,X0)|~spl0_77)),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1156])).
% 0.16/0.55 fof(f1159,plain,(
% 0.16/0.55 ![X0]: (~ssList(sk0_47)|~ssList(X0)|~ssList(tl(sk0_48))|~frontsegP(sk0_47,X0)|frontsegP(sk0_48,X0)|~spl0_4)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f491,f288])).
% 0.16/0.55 fof(f1160,plain,(
% 0.16/0.55 ~spl0_11|spl0_77|~spl0_5|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1159,f530,f1156,f493,f490])).
% 0.16/0.55 fof(f1161,plain,(
% 0.16/0.55 spl0_78 <=> ~ssItem(X0)|memberP(sk0_48,X0)|~memberP(tl(sk0_48),X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1164,plain,(
% 0.16/0.55 ![X0]: (~ssItem(X0)|~ssList(sk0_47)|~ssList(tl(sk0_48))|memberP(sk0_48,X0)|~memberP(tl(sk0_48),X0)|~spl0_4)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f491,f272])).
% 0.16/0.55 fof(f1165,plain,(
% 0.16/0.55 spl0_78|~spl0_11|~spl0_5|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1164,f1161,f530,f493,f490])).
% 0.16/0.55 fof(f1166,plain,(
% 0.16/0.55 spl0_79 <=> ~ssItem(X0)|memberP(sk0_48,X0)|~memberP(sk0_47,X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1169,plain,(
% 0.16/0.55 ![X0]: (~ssItem(X0)|~ssList(sk0_47)|~ssList(tl(sk0_48))|memberP(sk0_48,X0)|~memberP(sk0_47,X0)|~spl0_4)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f491,f271])).
% 0.16/0.55 fof(f1170,plain,(
% 0.16/0.55 spl0_79|~spl0_11|~spl0_5|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1169,f1166,f530,f493,f490])).
% 0.16/0.55 fof(f1171,plain,(
% 0.16/0.55 spl0_80 <=> ~ssList(X0)|~app(X0,tl(sk0_48))=sk0_48|X0=sk0_47),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1172,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~app(X0,tl(sk0_48))=sk0_48|X0=sk0_47|~spl0_80)),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1171])).
% 0.16/0.55 fof(f1174,plain,(
% 0.16/0.55 ![X0]: (~ssList(sk0_47)|~ssList(tl(sk0_48))|~ssList(X0)|~app(X0,tl(sk0_48))=sk0_48|X0=sk0_47|~spl0_4)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f491,f376])).
% 0.16/0.55 fof(f1175,plain,(
% 0.16/0.55 ~spl0_11|~spl0_5|spl0_80|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1174,f530,f493,f1171,f490])).
% 0.16/0.55 fof(f1178,plain,(
% 0.16/0.55 spl0_81 <=> ~ssList(X0)|~app(sk0_47,X0)=sk0_48|X0=tl(sk0_48)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1179,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~app(sk0_47,X0)=sk0_48|X0=tl(sk0_48)|~spl0_81)),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1178])).
% 0.16/0.55 fof(f1181,plain,(
% 0.16/0.55 ![X0]: (~ssList(tl(sk0_48))|~ssList(sk0_47)|~ssList(X0)|~app(sk0_47,X0)=sk0_48|X0=tl(sk0_48)|~spl0_4)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f491,f378])).
% 0.16/0.55 fof(f1182,plain,(
% 0.16/0.55 ~spl0_5|~spl0_11|spl0_81|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1181,f493,f530,f1178,f490])).
% 0.16/0.55 fof(f1185,plain,(
% 0.16/0.55 spl0_82 <=> ~ssList(X0)|app(sk0_48,X0)=app(sk0_47,app(tl(sk0_48),X0))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1188,plain,(
% 0.16/0.55 ![X0]: (~ssList(sk0_47)|~ssList(tl(sk0_48))|~ssList(X0)|app(sk0_48,X0)=app(sk0_47,app(tl(sk0_48),X0))|~spl0_4)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f491,f382])).
% 0.16/0.55 fof(f1189,plain,(
% 0.16/0.55 ~spl0_11|~spl0_5|spl0_82|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1188,f530,f493,f1185,f490])).
% 0.16/0.55 fof(f1196,plain,(
% 0.16/0.55 spl0_83 <=> ~ssList(X0)|~frontsegP(X0,sk0_48)|frontsegP(X0,sk0_47)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1197,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_48)|frontsegP(X0,sk0_47)|~spl0_83)),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1196])).
% 0.16/0.55 fof(f1199,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~ssList(sk0_48)|~ssList(sk0_47)|~frontsegP(X0,sk0_48)|frontsegP(X0,sk0_47)|~spl0_75)),
% 0.16/0.55 inference(resolution,[status(thm)],[f1147,f282])).
% 0.16/0.55 fof(f1200,plain,(
% 0.16/0.55 spl0_83|~spl0_10|~spl0_11|~spl0_75),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1199,f1196,f512,f530,f1146])).
% 0.16/0.55 fof(f1201,plain,(
% 0.16/0.55 spl0_84 <=> ~ssList(app(sk0_48,X0))|frontsegP(app(sk0_48,X0),sk0_47)|~ssList(X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1204,plain,(
% 0.16/0.55 ![X0]: (~ssList(app(sk0_48,X0))|frontsegP(app(sk0_48,X0),sk0_47)|~ssList(sk0_48)|~ssList(X0)|~spl0_83)),
% 0.16/0.55 inference(resolution,[status(thm)],[f1197,f1120])).
% 0.16/0.55 fof(f1205,plain,(
% 0.16/0.55 spl0_84|~spl0_10|~spl0_83),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1204,f1201,f512,f1196])).
% 0.16/0.55 fof(f1206,plain,(
% 0.16/0.55 spl0_85 <=> ~ssList(app(X0,X1))|frontsegP(app(X0,X1),sk0_47)|~ssList(X0)|~ssList(X1)|~frontsegP(X0,sk0_48)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1209,plain,(
% 0.16/0.55 ![X0,X1]: (~ssList(app(X0,X1))|frontsegP(app(X0,X1),sk0_47)|~ssList(X0)|~ssList(sk0_48)|~ssList(X1)|~frontsegP(X0,sk0_48)|~spl0_83)),
% 0.16/0.55 inference(resolution,[status(thm)],[f1197,f288])).
% 0.16/0.55 fof(f1210,plain,(
% 0.16/0.55 spl0_85|~spl0_10|~spl0_83),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1209,f1206,f512,f1196])).
% 0.16/0.55 fof(f1211,plain,(
% 0.16/0.55 ~ssList(sk0_48)|frontsegP(sk0_48,sk0_47)|~ssList(sk0_48)|~spl0_83),
% 0.16/0.55 inference(resolution,[status(thm)],[f1197,f286])).
% 0.16/0.55 fof(f1212,plain,(
% 0.16/0.55 ~spl0_10|spl0_75|~spl0_83),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1211,f512,f1146,f1196])).
% 0.16/0.55 fof(f1223,plain,(
% 0.16/0.55 ~ssList(sk0_47)|frontsegP(sk0_48,sk0_47)|~ssList(sk0_47)|~spl0_77),
% 0.16/0.55 inference(resolution,[status(thm)],[f1157,f286])).
% 0.16/0.55 fof(f1224,plain,(
% 0.16/0.55 ~spl0_11|spl0_75|~spl0_77),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1223,f530,f1146,f1156])).
% 0.16/0.55 fof(f1225,plain,(
% 0.16/0.55 spl0_87 <=> rearsegP(sk0_48,tl(sk0_48))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1226,plain,(
% 0.16/0.55 rearsegP(sk0_48,tl(sk0_48))|~spl0_87),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1225])).
% 0.16/0.55 fof(f1228,plain,(
% 0.16/0.55 ~ssList(tl(sk0_48))|rearsegP(sk0_48,tl(sk0_48))|~ssList(tl(sk0_48))|~spl0_76),
% 0.16/0.55 inference(resolution,[status(thm)],[f1152,f305])).
% 0.16/0.55 fof(f1229,plain,(
% 0.16/0.55 ~spl0_5|spl0_87|~spl0_76),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1228,f493,f1225,f1151])).
% 0.16/0.55 fof(f1230,plain,(
% 0.16/0.55 spl0_88 <=> ~ssList(X0)|~rearsegP(X0,sk0_48)|rearsegP(X0,tl(sk0_48))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1231,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~rearsegP(X0,sk0_48)|rearsegP(X0,tl(sk0_48))|~spl0_88)),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1230])).
% 0.16/0.55 fof(f1233,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~ssList(sk0_48)|~ssList(tl(sk0_48))|~rearsegP(X0,sk0_48)|rearsegP(X0,tl(sk0_48))|~spl0_87)),
% 0.16/0.55 inference(resolution,[status(thm)],[f1226,f301])).
% 0.16/0.55 fof(f1234,plain,(
% 0.16/0.55 spl0_88|~spl0_10|~spl0_5|~spl0_87),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1233,f1230,f512,f493,f1225])).
% 0.16/0.55 fof(f1235,plain,(
% 0.16/0.55 ~ssList(sk0_47)|sk0_47=sk0_47|~spl0_80|~spl0_4),
% 0.16/0.55 inference(resolution,[status(thm)],[f1172,f491])).
% 0.16/0.55 fof(f1236,plain,(
% 0.16/0.55 ~spl0_11|spl0_74|~spl0_80|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1235,f530,f1139,f1171,f490])).
% 0.16/0.55 fof(f1239,plain,(
% 0.16/0.55 spl0_89 <=> tl(sk0_47)=sk0_47),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1244,plain,(
% 0.16/0.55 spl0_90 <=> ssList(sk0_5(sk0_47,sk0_48))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1246,plain,(
% 0.16/0.55 ~ssList(sk0_5(sk0_47,sk0_48))|spl0_90),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1244])).
% 0.16/0.55 fof(f1247,plain,(
% 0.16/0.55 spl0_91 <=> sk0_5(sk0_47,sk0_48)=tl(sk0_48)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1248,plain,(
% 0.16/0.55 sk0_5(sk0_47,sk0_48)=tl(sk0_48)|~spl0_91),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1247])).
% 0.16/0.55 fof(f1250,plain,(
% 0.16/0.55 ~ssList(sk0_5(sk0_47,sk0_48))|sk0_5(sk0_47,sk0_48)=tl(sk0_48)|~ssList(sk0_48)|~ssList(sk0_47)|~frontsegP(sk0_48,sk0_47)|~spl0_81),
% 0.16/0.55 inference(resolution,[status(thm)],[f1179,f123])).
% 0.16/0.55 fof(f1251,plain,(
% 0.16/0.55 ~spl0_90|spl0_91|~spl0_10|~spl0_11|~spl0_75|~spl0_81),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1250,f1244,f1247,f512,f530,f1146,f1178])).
% 0.16/0.55 fof(f1252,plain,(
% 0.16/0.55 spl0_92 <=> tl(sk0_48)=tl(sk0_48)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1255,plain,(
% 0.16/0.55 ~ssList(tl(sk0_48))|tl(sk0_48)=tl(sk0_48)|~spl0_81|~spl0_4),
% 0.16/0.55 inference(resolution,[status(thm)],[f1179,f491])).
% 0.16/0.55 fof(f1256,plain,(
% 0.16/0.55 ~spl0_5|spl0_92|~spl0_81|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1255,f493,f1252,f1178,f490])).
% 0.16/0.55 fof(f1259,plain,(
% 0.16/0.55 ~ssList(sk0_48)|~ssList(sk0_47)|~frontsegP(sk0_48,sk0_47)|spl0_90),
% 0.16/0.55 inference(resolution,[status(thm)],[f1246,f122])).
% 0.16/0.55 fof(f1260,plain,(
% 0.16/0.55 ~spl0_10|~spl0_11|~spl0_75|spl0_90),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1259,f512,f530,f1146,f1244])).
% 0.16/0.55 fof(f1261,plain,(
% 0.16/0.55 ~ssList(sk0_48)|~ssList(sk0_47)|~frontsegP(sk0_48,sk0_47)|app(sk0_47,tl(sk0_48))=sk0_48|~spl0_91),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1248,f123])).
% 0.16/0.55 fof(f1262,plain,(
% 0.16/0.55 ~spl0_10|~spl0_11|~spl0_75|spl0_4|~spl0_91),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1261,f512,f530,f1146,f490,f1247])).
% 0.16/0.55 fof(f1270,plain,(
% 0.16/0.55 spl0_94 <=> ~ssList(X0)|~rearsegP(X0,sk0_48)|~ssList(X1)|~ssList(X0)|~rearsegP(X1,X0)|rearsegP(X1,tl(sk0_48))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1273,plain,(
% 0.16/0.55 ![X0,X1]: (~ssList(X0)|~rearsegP(X0,sk0_48)|~ssList(X1)|~ssList(X0)|~ssList(tl(sk0_48))|~rearsegP(X1,X0)|rearsegP(X1,tl(sk0_48))|~spl0_88)),
% 0.16/0.55 inference(resolution,[status(thm)],[f1231,f301])).
% 0.16/0.55 fof(f1274,plain,(
% 0.16/0.55 spl0_94|~spl0_5|~spl0_88),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1273,f1270,f493,f1230])).
% 0.16/0.55 fof(f1376,plain,(
% 0.16/0.55 ~ssList(nil)|nil=tl(sk0_47)|~ssList(tl(sk0_48))|~spl0_45),
% 0.16/0.55 inference(resolution,[status(thm)],[f940,f249])).
% 0.16/0.55 fof(f1377,plain,(
% 0.16/0.55 ~spl0_12|spl0_49|~spl0_5|~spl0_45),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1376,f541,f961,f493,f939])).
% 0.16/0.55 fof(f1383,plain,(
% 0.16/0.55 ~ssList(sk0_47)|~sk0_48=tl(sk0_48)|sk0_47=tl(sk0_47)|~spl0_45|~spl0_4),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f491,f940])).
% 0.16/0.55 fof(f1384,plain,(
% 0.16/0.55 ~spl0_11|~spl0_20|spl0_89|~spl0_45|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1383,f530,f606,f1239,f939,f490])).
% 0.16/0.55 fof(f1403,plain,(
% 0.16/0.55 tl(sk0_48)=app(nil,tl(sk0_48))|~spl0_49|~spl0_16),
% 0.16/0.55 inference(forward_demodulation,[status(thm)],[f962,f558])).
% 0.16/0.55 fof(f1410,plain,(
% 0.16/0.55 spl0_114 <=> frontsegP(tl(sk0_48),nil)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1411,plain,(
% 0.16/0.55 frontsegP(tl(sk0_48),nil)|~spl0_114),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1410])).
% 0.16/0.55 fof(f1413,plain,(
% 0.16/0.55 ~ssList(nil)|frontsegP(tl(sk0_48),nil)|~ssList(tl(sk0_48))|~spl0_49|~spl0_16),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1403,f1120])).
% 0.16/0.55 fof(f1414,plain,(
% 0.16/0.55 ~spl0_12|spl0_114|~spl0_5|~spl0_49|~spl0_16),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1413,f541,f1410,f493,f961,f557])).
% 0.16/0.55 fof(f1415,plain,(
% 0.16/0.55 ![X0]: (~ssList(tl(sk0_48))|~ssList(X0)|~ssList(nil)|~rearsegP(tl(sk0_48),X0)|rearsegP(tl(sk0_48),X0)|~spl0_49|~spl0_16)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1403,f307])).
% 0.16/0.55 fof(f1416,plain,(
% 0.16/0.55 ~spl0_5|spl0_59|~spl0_12|~spl0_49|~spl0_16),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1415,f493,f1044,f541,f961,f557])).
% 0.16/0.55 fof(f1417,plain,(
% 0.16/0.55 spl0_115 <=> ~ssList(X0)|~frontsegP(nil,X0)|frontsegP(tl(sk0_48),X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1420,plain,(
% 0.16/0.55 ![X0]: (~ssList(nil)|~ssList(X0)|~ssList(tl(sk0_48))|~frontsegP(nil,X0)|frontsegP(tl(sk0_48),X0)|~spl0_49|~spl0_16)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1403,f288])).
% 0.16/0.55 fof(f1421,plain,(
% 0.16/0.55 ~spl0_12|spl0_115|~spl0_5|~spl0_49|~spl0_16),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1420,f541,f1417,f493,f961,f557])).
% 0.16/0.55 fof(f1422,plain,(
% 0.16/0.55 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(tl(sk0_48))|memberP(tl(sk0_48),X0)|~memberP(tl(sk0_48),X0)|~spl0_49|~spl0_16)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1403,f272])).
% 0.16/0.55 fof(f1423,plain,(
% 0.16/0.55 spl0_56|~spl0_12|~spl0_5|~spl0_49|~spl0_16),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1422,f1027,f541,f493,f961,f557])).
% 0.16/0.55 fof(f1424,plain,(
% 0.16/0.55 spl0_116 <=> ~ssItem(X0)|memberP(tl(sk0_48),X0)|~memberP(nil,X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1427,plain,(
% 0.16/0.55 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(tl(sk0_48))|memberP(tl(sk0_48),X0)|~memberP(nil,X0)|~spl0_49|~spl0_16)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1403,f271])).
% 0.16/0.55 fof(f1428,plain,(
% 0.16/0.55 spl0_116|~spl0_12|~spl0_5|~spl0_49|~spl0_16),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1427,f1424,f541,f493,f961,f557])).
% 0.16/0.55 fof(f1429,plain,(
% 0.16/0.55 spl0_117 <=> ~ssList(X0)|~app(X0,tl(sk0_48))=tl(sk0_48)|X0=nil),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1432,plain,(
% 0.16/0.55 ![X0]: (~ssList(nil)|~ssList(tl(sk0_48))|~ssList(X0)|~app(X0,tl(sk0_48))=tl(sk0_48)|X0=nil|~spl0_49|~spl0_16)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1403,f376])).
% 0.16/0.55 fof(f1433,plain,(
% 0.16/0.55 ~spl0_12|~spl0_5|spl0_117|~spl0_49|~spl0_16),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1432,f541,f493,f1429,f961,f557])).
% 0.16/0.55 fof(f1436,plain,(
% 0.16/0.55 spl0_118 <=> ~ssList(X0)|~app(nil,X0)=tl(sk0_48)|X0=tl(sk0_48)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1439,plain,(
% 0.16/0.55 ![X0]: (~ssList(tl(sk0_48))|~ssList(nil)|~ssList(X0)|~app(nil,X0)=tl(sk0_48)|X0=tl(sk0_48)|~spl0_49|~spl0_16)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1403,f378])).
% 0.16/0.55 fof(f1440,plain,(
% 0.16/0.55 ~spl0_5|~spl0_12|spl0_118|~spl0_49|~spl0_16),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1439,f493,f541,f1436,f961,f557])).
% 0.16/0.55 fof(f1443,plain,(
% 0.16/0.55 spl0_119 <=> ~ssList(X0)|app(tl(sk0_48),X0)=app(nil,app(tl(sk0_48),X0))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1446,plain,(
% 0.16/0.55 ![X0]: (~ssList(nil)|~ssList(tl(sk0_48))|~ssList(X0)|app(tl(sk0_48),X0)=app(nil,app(tl(sk0_48),X0))|~spl0_49|~spl0_16)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1403,f382])).
% 0.16/0.55 fof(f1447,plain,(
% 0.16/0.55 ~spl0_12|~spl0_5|spl0_119|~spl0_49|~spl0_16),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1446,f541,f493,f1443,f961,f557])).
% 0.16/0.55 fof(f1461,plain,(
% 0.16/0.55 spl0_121 <=> ~ssList(X0)|~frontsegP(X0,tl(sk0_48))|frontsegP(X0,nil)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1464,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~ssList(tl(sk0_48))|~ssList(nil)|~frontsegP(X0,tl(sk0_48))|frontsegP(X0,nil)|~spl0_114)),
% 0.16/0.55 inference(resolution,[status(thm)],[f1411,f282])).
% 0.16/0.55 fof(f1465,plain,(
% 0.16/0.55 spl0_121|~spl0_5|~spl0_12|~spl0_114),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1464,f1461,f493,f541,f1410])).
% 0.16/0.55 fof(f1481,plain,(
% 0.16/0.55 ![X0]: (~ssItem(X0)|~spl0_39)),
% 0.16/0.55 inference(duplicate_literals_removal,[status(esa)],[f864])).
% 0.16/0.55 fof(f1597,plain,(
% 0.16/0.55 $false|~spl0_39|~spl0_73),
% 0.16/0.55 inference(backward_subsumption_resolution,[status(thm)],[f1135,f1481])).
% 0.16/0.55 fof(f1598,plain,(
% 0.16/0.55 ~spl0_39|~spl0_73),
% 0.16/0.55 inference(contradiction_clause,[status(thm)],[f1597])).
% 0.16/0.55 fof(f1599,plain,(
% 0.16/0.55 $false|~spl0_31),
% 0.16/0.55 inference(backward_subsumption_resolution,[status(thm)],[f419,f705])).
% 0.16/0.55 fof(f1600,plain,(
% 0.16/0.55 ~spl0_31),
% 0.16/0.55 inference(contradiction_clause,[status(thm)],[f1599])).
% 0.16/0.55 fof(f1601,plain,(
% 0.16/0.55 ~ssList(nil)|~spl0_69|spl0_68),
% 0.16/0.55 inference(backward_demodulation,[status(thm)],[f1110,f1108])).
% 0.16/0.55 fof(f1602,plain,(
% 0.16/0.55 ~spl0_12|~spl0_69|spl0_68),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1601,f541,f1109,f1106])).
% 0.16/0.55 fof(f1627,plain,(
% 0.16/0.55 spl0_137 <=> ~ssList(X0)|~frontsegP(X0,nil)|frontsegP(X0,nil)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1630,plain,(
% 0.16/0.55 ![X0]: (~ssList(nil)|~ssList(nil)|~ssList(X0)|~frontsegP(X0,nil)|frontsegP(X0,nil))),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f540,f1123])).
% 0.16/0.55 fof(f1631,plain,(
% 0.16/0.55 ~spl0_12|spl0_137),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1630,f541,f1627])).
% 0.16/0.55 fof(f1642,plain,(
% 0.16/0.55 spl0_138 <=> ~ssList(X0)|~ssList(X1)|~frontsegP(X0,sk0_48)|frontsegP(X0,X1)|~frontsegP(sk0_47,X1)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1645,plain,(
% 0.16/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,sk0_48)|frontsegP(X0,X1)|~ssList(sk0_47)|~ssList(tl(sk0_48))|~frontsegP(sk0_47,X1)|~spl0_4)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f491,f1056])).
% 0.16/0.55 fof(f1646,plain,(
% 0.16/0.55 spl0_138|~spl0_11|~spl0_5|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1645,f1642,f530,f493,f490])).
% 0.16/0.55 fof(f1647,plain,(
% 0.16/0.55 spl0_139 <=> ~ssList(X0)|~ssList(X1)|~frontsegP(X0,tl(sk0_48))|frontsegP(X0,X1)|~frontsegP(nil,X1)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1650,plain,(
% 0.16/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,tl(sk0_48))|frontsegP(X0,X1)|~ssList(nil)|~ssList(tl(sk0_48))|~frontsegP(nil,X1)|~spl0_49|~spl0_16)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1403,f1056])).
% 0.16/0.55 fof(f1651,plain,(
% 0.16/0.55 spl0_139|~spl0_12|~spl0_5|~spl0_49|~spl0_16),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1650,f1647,f541,f493,f961,f557])).
% 0.16/0.55 fof(f1652,plain,(
% 0.16/0.55 spl0_140 <=> ~ssList(X0)|~ssList(X1)|~frontsegP(X0,nil)|frontsegP(X0,X1)|~frontsegP(nil,X1)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1655,plain,(
% 0.16/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,nil)|frontsegP(X0,X1)|~ssList(nil)|~ssList(nil)|~frontsegP(nil,X1))),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f540,f1056])).
% 0.16/0.55 fof(f1656,plain,(
% 0.16/0.55 spl0_140|~spl0_12),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1655,f1652,f541])).
% 0.16/0.55 fof(f1657,plain,(
% 0.16/0.55 spl0_141 <=> ~ssList(X0)|~ssList(X1)|~rearsegP(X0,sk0_48)|rearsegP(X0,X1)|~rearsegP(tl(sk0_48),X1)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1660,plain,(
% 0.16/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,sk0_48)|rearsegP(X0,X1)|~ssList(tl(sk0_48))|~ssList(sk0_47)|~rearsegP(tl(sk0_48),X1)|~spl0_4)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f491,f1059])).
% 0.16/0.55 fof(f1661,plain,(
% 0.16/0.55 spl0_141|~spl0_5|~spl0_11|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1660,f1657,f493,f530,f490])).
% 0.16/0.55 fof(f1662,plain,(
% 0.16/0.55 spl0_142 <=> ~ssList(X0)|~ssList(X1)|~rearsegP(X0,tl(sk0_48))|rearsegP(X0,X1)|~rearsegP(tl(sk0_48),X1)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1665,plain,(
% 0.16/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,tl(sk0_48))|rearsegP(X0,X1)|~ssList(tl(sk0_48))|~ssList(nil)|~rearsegP(tl(sk0_48),X1)|~spl0_49|~spl0_16)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1403,f1059])).
% 0.16/0.55 fof(f1666,plain,(
% 0.16/0.55 spl0_142|~spl0_5|~spl0_12|~spl0_49|~spl0_16),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1665,f1662,f493,f541,f961,f557])).
% 0.16/0.55 fof(f1667,plain,(
% 0.16/0.55 spl0_143 <=> ~ssList(X0)|~ssList(X1)|~rearsegP(X0,nil)|rearsegP(X0,X1)|~rearsegP(nil,X1)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1670,plain,(
% 0.16/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,nil)|rearsegP(X0,X1)|~ssList(nil)|~ssList(nil)|~rearsegP(nil,X1))),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f540,f1059])).
% 0.16/0.55 fof(f1671,plain,(
% 0.16/0.55 spl0_143|~spl0_12),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1670,f1667,f541])).
% 0.16/0.55 fof(f1722,plain,(
% 0.16/0.55 spl0_150 <=> cons(hd(sk0_47),nil)=sk0_47),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1723,plain,(
% 0.16/0.55 cons(hd(sk0_47),nil)=sk0_47|~spl0_150),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1722])).
% 0.16/0.55 fof(f1725,plain,(
% 0.16/0.55 ~ssList(sk0_47)|nil=sk0_47|cons(hd(sk0_47),nil)=sk0_47|~spl0_49),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f962,f374])).
% 0.16/0.55 fof(f1726,plain,(
% 0.16/0.55 ~spl0_11|spl0_15|spl0_150|~spl0_49),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1725,f530,f554,f1722,f961])).
% 0.16/0.55 fof(f1815,plain,(
% 0.16/0.55 spl0_151 <=> ~ssItem(X0)|~memberP(sk0_48,X0)|memberP(sk0_47,X0)|memberP(tl(sk0_48),X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1818,plain,(
% 0.16/0.55 ![X0]: (~ssItem(X0)|~ssList(sk0_47)|~ssList(tl(sk0_48))|~memberP(sk0_48,X0)|memberP(sk0_47,X0)|memberP(tl(sk0_48),X0)|~spl0_4)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f491,f270])).
% 0.16/0.55 fof(f1819,plain,(
% 0.16/0.55 spl0_151|~spl0_11|~spl0_5|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1818,f1815,f530,f493,f490])).
% 0.16/0.55 fof(f1820,plain,(
% 0.16/0.55 spl0_152 <=> ~ssItem(X0)|~memberP(tl(sk0_48),X0)|memberP(nil,X0)|memberP(tl(sk0_48),X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1823,plain,(
% 0.16/0.55 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(tl(sk0_48))|~memberP(tl(sk0_48),X0)|memberP(nil,X0)|memberP(tl(sk0_48),X0)|~spl0_49|~spl0_16)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1403,f270])).
% 0.16/0.55 fof(f1824,plain,(
% 0.16/0.55 spl0_152|~spl0_12|~spl0_5|~spl0_49|~spl0_16),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1823,f1820,f541,f493,f961,f557])).
% 0.16/0.55 fof(f1825,plain,(
% 0.16/0.55 spl0_153 <=> ~ssItem(X0)|~memberP(nil,X0)|memberP(nil,X0)|memberP(nil,X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1828,plain,(
% 0.16/0.55 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(nil)|~memberP(nil,X0)|memberP(nil,X0)|memberP(nil,X0))),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f540,f270])).
% 0.16/0.55 fof(f1829,plain,(
% 0.16/0.55 spl0_153|~spl0_12),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1828,f1825,f541])).
% 0.16/0.55 fof(f1835,plain,(
% 0.16/0.55 spl0_154 <=> ~ssList(X0)|~rearsegP(nil,X0)|~ssList(sk0_6(X0,nil))|~ssList(X0)|nil=X0),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1838,plain,(
% 0.16/0.55 ![X0]: (~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|~ssList(sk0_6(X0,nil))|~ssList(X0)|nil=X0)),
% 0.16/0.55 inference(resolution,[status(thm)],[f129,f385])).
% 0.16/0.55 fof(f1839,plain,(
% 0.16/0.55 ~spl0_12|spl0_154),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1838,f541,f1835])).
% 0.16/0.55 fof(f1841,plain,(
% 0.16/0.55 ![X0,X1]: (~ssList(X0)|rearsegP(app(X1,X0),X0)|~ssList(X1))),
% 0.16/0.55 inference(forward_subsumption_resolution,[status(thm)],[f448,f245])).
% 0.16/0.55 fof(f1849,plain,(
% 0.16/0.55 spl0_155 <=> rearsegP(tl(sk0_48),tl(sk0_48))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1850,plain,(
% 0.16/0.55 rearsegP(tl(sk0_48),tl(sk0_48))|~spl0_155),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1849])).
% 0.16/0.55 fof(f1852,plain,(
% 0.16/0.55 ~ssList(tl(sk0_48))|rearsegP(tl(sk0_48),tl(sk0_48))|~ssList(nil)|~spl0_49|~spl0_16),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1403,f1841])).
% 0.16/0.55 fof(f1853,plain,(
% 0.16/0.55 ~spl0_5|spl0_155|~spl0_12|~spl0_49|~spl0_16),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1852,f493,f1849,f541,f961,f557])).
% 0.16/0.55 fof(f1854,plain,(
% 0.16/0.55 spl0_156 <=> rearsegP(nil,nil)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1857,plain,(
% 0.16/0.55 ~ssList(nil)|rearsegP(nil,nil)|~ssList(nil)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f540,f1841])).
% 0.16/0.55 fof(f1858,plain,(
% 0.16/0.55 ~spl0_12|spl0_156),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1857,f541,f1854])).
% 0.16/0.55 fof(f1859,plain,(
% 0.16/0.55 spl0_157 <=> ~ssList(X0)|~segmentP(nil,X0)|~ssList(app(sk0_7(X0,nil),X0))|~ssList(sk0_8(X0,nil))|nil=sk0_8(X0,nil)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1862,plain,(
% 0.16/0.55 ![X0]: (~ssList(nil)|~ssList(X0)|~segmentP(nil,X0)|~ssList(app(sk0_7(X0,nil),X0))|~ssList(sk0_8(X0,nil))|nil=sk0_8(X0,nil))),
% 0.16/0.55 inference(resolution,[status(thm)],[f136,f385])).
% 0.16/0.55 fof(f1863,plain,(
% 0.16/0.55 ~spl0_12|spl0_157),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1862,f541,f1859])).
% 0.16/0.55 fof(f1866,plain,(
% 0.16/0.55 spl0_158 <=> ~ssList(app(app(sk0_47,tl(sk0_48)),X0))|segmentP(app(sk0_48,X0),tl(sk0_48))|~ssList(X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1869,plain,(
% 0.16/0.55 ![X0]: (~ssList(app(app(sk0_47,tl(sk0_48)),X0))|~ssList(tl(sk0_48))|segmentP(app(sk0_48,X0),tl(sk0_48))|~ssList(sk0_47)|~ssList(X0)|~spl0_4)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f491,f449])).
% 0.16/0.55 fof(f1870,plain,(
% 0.16/0.55 spl0_158|~spl0_5|~spl0_11|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1869,f1866,f493,f530,f490])).
% 0.16/0.55 fof(f1871,plain,(
% 0.16/0.55 spl0_159 <=> ~ssList(app(app(nil,tl(sk0_48)),X0))|segmentP(app(tl(sk0_48),X0),tl(sk0_48))|~ssList(X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1874,plain,(
% 0.16/0.55 ![X0]: (~ssList(app(app(nil,tl(sk0_48)),X0))|~ssList(tl(sk0_48))|segmentP(app(tl(sk0_48),X0),tl(sk0_48))|~ssList(nil)|~ssList(X0)|~spl0_49|~spl0_16)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1403,f449])).
% 0.16/0.55 fof(f1875,plain,(
% 0.16/0.55 spl0_159|~spl0_5|~spl0_12|~spl0_49|~spl0_16),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1874,f1871,f493,f541,f961,f557])).
% 0.16/0.55 fof(f1876,plain,(
% 0.16/0.55 spl0_160 <=> ~ssList(app(app(nil,nil),X0))|segmentP(app(nil,X0),nil)|~ssList(X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1879,plain,(
% 0.16/0.55 ![X0]: (~ssList(app(app(nil,nil),X0))|~ssList(nil)|segmentP(app(nil,X0),nil)|~ssList(nil)|~ssList(X0))),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f540,f449])).
% 0.16/0.55 fof(f1880,plain,(
% 0.16/0.55 spl0_160|~spl0_12),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1879,f1876,f541])).
% 0.16/0.55 fof(f1884,plain,(
% 0.16/0.55 spl0_161 <=> ~pd0_0(X0,X1,app(cons(hd(sk0_47),nil),X2),sk0_47)|~ssList(X2)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f1885,plain,(
% 0.16/0.55 ![X0,X1,X2]: (~pd0_0(X0,X1,app(cons(hd(sk0_47),nil),X2),sk0_47)|~ssList(X2)|~spl0_161)),
% 0.16/0.55 inference(component_clause,[status(thm)],[f1884])).
% 0.16/0.55 fof(f1887,plain,(
% 0.16/0.55 ![X0,X1,X2]: (~pd0_0(X0,X1,app(cons(hd(sk0_47),nil),X2),sk0_47)|~ssItem(hd(sk0_47))|~ssList(X2)|~spl0_150)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f1723,f474])).
% 0.16/0.55 fof(f1888,plain,(
% 0.16/0.55 spl0_161|~spl0_73|~spl0_150),
% 0.16/0.55 inference(split_clause,[status(thm)],[f1887,f1884,f1134,f1722])).
% 0.16/0.55 fof(f1992,plain,(
% 0.16/0.55 ![X0,X1,X2]: (~pd0_0(X0,X1,app(sk0_47,X2),sk0_47)|~ssList(X2)|~spl0_150|~spl0_161)),
% 0.16/0.55 inference(forward_demodulation,[status(thm)],[f1723,f1885])).
% 0.16/0.55 fof(f1998,plain,(
% 0.16/0.55 spl0_181 <=> ~ssList(X0)|~rearsegP(X0,tl(sk0_48))|rearsegP(X0,tl(sk0_48))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2001,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~ssList(tl(sk0_48))|~ssList(tl(sk0_48))|~rearsegP(X0,tl(sk0_48))|rearsegP(X0,tl(sk0_48))|~spl0_155)),
% 0.16/0.55 inference(resolution,[status(thm)],[f1850,f301])).
% 0.16/0.55 fof(f2002,plain,(
% 0.16/0.55 spl0_181|~spl0_5|~spl0_155),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2001,f1998,f493,f1849])).
% 0.16/0.55 fof(f2010,plain,(
% 0.16/0.55 spl0_183 <=> ssList(sk0_6(sk0_48,sk0_48))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2012,plain,(
% 0.16/0.55 ~ssList(sk0_6(sk0_48,sk0_48))|spl0_183),
% 0.16/0.55 inference(component_clause,[status(thm)],[f2010])).
% 0.16/0.55 fof(f2013,plain,(
% 0.16/0.55 spl0_184 <=> nil=sk0_6(sk0_48,sk0_48)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2014,plain,(
% 0.16/0.55 nil=sk0_6(sk0_48,sk0_48)|~spl0_184),
% 0.16/0.55 inference(component_clause,[status(thm)],[f2013])).
% 0.16/0.55 fof(f2016,plain,(
% 0.16/0.55 spl0_185 <=> rearsegP(sk0_48,sk0_48)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2017,plain,(
% 0.16/0.55 rearsegP(sk0_48,sk0_48)|~spl0_185),
% 0.16/0.55 inference(component_clause,[status(thm)],[f2016])).
% 0.16/0.55 fof(f2018,plain,(
% 0.16/0.55 ~rearsegP(sk0_48,sk0_48)|spl0_185),
% 0.16/0.55 inference(component_clause,[status(thm)],[f2016])).
% 0.16/0.55 fof(f2019,plain,(
% 0.16/0.55 ~ssList(sk0_6(sk0_48,sk0_48))|nil=sk0_6(sk0_48,sk0_48)|~ssList(sk0_48)|~ssList(sk0_48)|~rearsegP(sk0_48,sk0_48)|~spl0_28),
% 0.16/0.55 inference(resolution,[status(thm)],[f688,f129])).
% 0.16/0.55 fof(f2020,plain,(
% 0.16/0.55 ~spl0_183|spl0_184|~spl0_10|~spl0_185|~spl0_28),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2019,f2010,f2013,f512,f2016,f687])).
% 0.16/0.55 fof(f2023,plain,(
% 0.16/0.55 ~ssList(sk0_48)|spl0_185),
% 0.16/0.55 inference(resolution,[status(thm)],[f2018,f305])).
% 0.16/0.55 fof(f2024,plain,(
% 0.16/0.55 ~spl0_10|spl0_185),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2023,f512,f2016])).
% 0.16/0.55 fof(f2025,plain,(
% 0.16/0.55 spl0_186 <=> ~ssList(X0)|~rearsegP(X0,sk0_48)|rearsegP(X0,sk0_48)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2028,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~ssList(sk0_48)|~ssList(sk0_48)|~rearsegP(X0,sk0_48)|rearsegP(X0,sk0_48)|~spl0_185)),
% 0.16/0.55 inference(resolution,[status(thm)],[f2017,f301])).
% 0.16/0.55 fof(f2029,plain,(
% 0.16/0.55 spl0_186|~spl0_10|~spl0_185),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2028,f2025,f512,f2016])).
% 0.16/0.55 fof(f2030,plain,(
% 0.16/0.55 ~ssList(nil)|~spl0_184|spl0_183),
% 0.16/0.55 inference(backward_demodulation,[status(thm)],[f2014,f2012])).
% 0.16/0.55 fof(f2031,plain,(
% 0.16/0.55 ~spl0_12|~spl0_184|spl0_183),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2030,f541,f2013,f2010])).
% 0.16/0.55 fof(f2032,plain,(
% 0.16/0.55 spl0_187 <=> app(nil,sk0_48)=sk0_48),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2033,plain,(
% 0.16/0.55 app(nil,sk0_48)=sk0_48|~spl0_187),
% 0.16/0.55 inference(component_clause,[status(thm)],[f2032])).
% 0.16/0.55 fof(f2034,plain,(
% 0.16/0.55 ~app(nil,sk0_48)=sk0_48|spl0_187),
% 0.16/0.55 inference(component_clause,[status(thm)],[f2032])).
% 0.16/0.55 fof(f2037,plain,(
% 0.16/0.55 ~ssList(sk0_48)|sk0_48=sk0_48|~spl0_187),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f2033,f249])).
% 0.16/0.55 fof(f2038,plain,(
% 0.16/0.55 ~spl0_10|spl0_21|~spl0_187),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2037,f512,f617,f2032])).
% 0.16/0.55 fof(f2039,plain,(
% 0.16/0.55 spl0_188 <=> ~ssList(app(app(nil,sk0_48),X0))|segmentP(app(sk0_48,X0),sk0_48)|~ssList(X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2042,plain,(
% 0.16/0.55 ![X0]: (~ssList(app(app(nil,sk0_48),X0))|~ssList(sk0_48)|segmentP(app(sk0_48,X0),sk0_48)|~ssList(nil)|~ssList(X0)|~spl0_187)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f2033,f449])).
% 0.16/0.55 fof(f2043,plain,(
% 0.16/0.55 spl0_188|~spl0_10|~spl0_12|~spl0_187),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2042,f2039,f512,f541,f2032])).
% 0.16/0.55 fof(f2046,plain,(
% 0.16/0.55 spl0_189 <=> ~ssItem(X0)|~memberP(sk0_48,X0)|memberP(nil,X0)|memberP(sk0_48,X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2049,plain,(
% 0.16/0.55 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(sk0_48)|~memberP(sk0_48,X0)|memberP(nil,X0)|memberP(sk0_48,X0)|~spl0_187)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f2033,f270])).
% 0.16/0.55 fof(f2050,plain,(
% 0.16/0.55 spl0_189|~spl0_12|~spl0_10|~spl0_187),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2049,f2046,f541,f512,f2032])).
% 0.16/0.55 fof(f2051,plain,(
% 0.16/0.55 spl0_190 <=> ~ssList(X0)|~frontsegP(nil,X0)|frontsegP(sk0_48,X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2052,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|frontsegP(sk0_48,X0)|~spl0_190)),
% 0.16/0.55 inference(component_clause,[status(thm)],[f2051])).
% 0.16/0.55 fof(f2054,plain,(
% 0.16/0.55 ![X0]: (~ssList(nil)|~ssList(X0)|~ssList(sk0_48)|~frontsegP(nil,X0)|frontsegP(sk0_48,X0)|~spl0_187)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f2033,f288])).
% 0.16/0.55 fof(f2055,plain,(
% 0.16/0.55 ~spl0_12|spl0_190|~spl0_10|~spl0_187),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2054,f541,f2051,f512,f2032])).
% 0.16/0.55 fof(f2056,plain,(
% 0.16/0.55 spl0_191 <=> ~ssList(X0)|~rearsegP(sk0_48,X0)|rearsegP(sk0_48,X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2059,plain,(
% 0.16/0.55 ![X0]: (~ssList(sk0_48)|~ssList(X0)|~ssList(nil)|~rearsegP(sk0_48,X0)|rearsegP(sk0_48,X0)|~spl0_187)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f2033,f307])).
% 0.16/0.55 fof(f2060,plain,(
% 0.16/0.55 ~spl0_10|spl0_191|~spl0_12|~spl0_187),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2059,f512,f2056,f541,f2032])).
% 0.16/0.55 fof(f2061,plain,(
% 0.16/0.55 spl0_192 <=> ~ssItem(X0)|memberP(sk0_48,X0)|~memberP(nil,X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2064,plain,(
% 0.16/0.55 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(sk0_48)|memberP(sk0_48,X0)|~memberP(nil,X0)|~spl0_187)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f2033,f271])).
% 0.16/0.55 fof(f2065,plain,(
% 0.16/0.55 spl0_192|~spl0_12|~spl0_10|~spl0_187),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2064,f2061,f541,f512,f2032])).
% 0.16/0.55 fof(f2066,plain,(
% 0.16/0.55 spl0_193 <=> ~ssItem(X0)|memberP(sk0_48,X0)|~memberP(sk0_48,X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2069,plain,(
% 0.16/0.55 ![X0]: (~ssItem(X0)|~ssList(nil)|~ssList(sk0_48)|memberP(sk0_48,X0)|~memberP(sk0_48,X0)|~spl0_187)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f2033,f272])).
% 0.16/0.55 fof(f2070,plain,(
% 0.16/0.55 spl0_193|~spl0_12|~spl0_10|~spl0_187),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2069,f2066,f541,f512,f2032])).
% 0.16/0.55 fof(f2073,plain,(
% 0.16/0.55 spl0_194 <=> ~ssList(X0)|~ssList(X1)|~rearsegP(X0,sk0_48)|rearsegP(X0,X1)|~rearsegP(sk0_48,X1)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2076,plain,(
% 0.16/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,sk0_48)|rearsegP(X0,X1)|~ssList(sk0_48)|~ssList(nil)|~rearsegP(sk0_48,X1)|~spl0_187)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f2033,f1059])).
% 0.16/0.55 fof(f2077,plain,(
% 0.16/0.55 spl0_194|~spl0_10|~spl0_12|~spl0_187),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2076,f2073,f512,f541,f2032])).
% 0.16/0.55 fof(f2078,plain,(
% 0.16/0.55 spl0_195 <=> ~ssList(X0)|~ssList(X1)|~frontsegP(X0,sk0_48)|frontsegP(X0,X1)|~frontsegP(nil,X1)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2081,plain,(
% 0.16/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,sk0_48)|frontsegP(X0,X1)|~ssList(nil)|~ssList(sk0_48)|~frontsegP(nil,X1)|~spl0_187)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f2033,f1056])).
% 0.16/0.55 fof(f2082,plain,(
% 0.16/0.55 spl0_195|~spl0_12|~spl0_10|~spl0_187),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2081,f2078,f541,f512,f2032])).
% 0.16/0.55 fof(f2085,plain,(
% 0.16/0.55 spl0_196 <=> ~ssList(X0)|~frontsegP(X0,sk0_48)|frontsegP(X0,nil)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2086,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_48)|frontsegP(X0,nil)|~spl0_196)),
% 0.16/0.55 inference(component_clause,[status(thm)],[f2085])).
% 0.16/0.55 fof(f2090,plain,(
% 0.16/0.55 spl0_197 <=> frontsegP(sk0_48,nil)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2091,plain,(
% 0.16/0.55 frontsegP(sk0_48,nil)|~spl0_197),
% 0.16/0.55 inference(component_clause,[status(thm)],[f2090])).
% 0.16/0.55 fof(f2097,plain,(
% 0.16/0.55 ![X0]: (~ssList(X0)|~ssList(sk0_48)|~ssList(nil)|~frontsegP(X0,sk0_48)|frontsegP(X0,nil)|~spl0_197)),
% 0.16/0.55 inference(resolution,[status(thm)],[f2091,f282])).
% 0.16/0.55 fof(f2098,plain,(
% 0.16/0.55 spl0_196|~spl0_10|~spl0_12|~spl0_197),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2097,f2085,f512,f541,f2090])).
% 0.16/0.55 fof(f2099,plain,(
% 0.16/0.55 ~ssList(sk0_48)|spl0_187),
% 0.16/0.55 inference(resolution,[status(thm)],[f2034,f249])).
% 0.16/0.55 fof(f2100,plain,(
% 0.16/0.55 ~spl0_10|spl0_187),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2099,f512,f2032])).
% 0.16/0.55 fof(f2135,plain,(
% 0.16/0.55 spl0_198 <=> ~ssList(app(X0,X1))|frontsegP(app(X0,X1),nil)|~ssList(X0)|~ssList(X1)|~frontsegP(X0,sk0_48)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2138,plain,(
% 0.16/0.55 ![X0,X1]: (~ssList(app(X0,X1))|frontsegP(app(X0,X1),nil)|~ssList(X0)|~ssList(sk0_48)|~ssList(X1)|~frontsegP(X0,sk0_48)|~spl0_196)),
% 0.16/0.55 inference(resolution,[status(thm)],[f2086,f288])).
% 0.16/0.55 fof(f2139,plain,(
% 0.16/0.55 spl0_198|~spl0_10|~spl0_196),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2138,f2135,f512,f2085])).
% 0.16/0.55 fof(f2140,plain,(
% 0.16/0.55 spl0_199 <=> ~ssList(app(sk0_48,X0))|frontsegP(app(sk0_48,X0),nil)|~ssList(X0)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2143,plain,(
% 0.16/0.55 ![X0]: (~ssList(app(sk0_48,X0))|frontsegP(app(sk0_48,X0),nil)|~ssList(sk0_48)|~ssList(X0)|~spl0_196)),
% 0.16/0.55 inference(resolution,[status(thm)],[f2086,f1120])).
% 0.16/0.55 fof(f2144,plain,(
% 0.16/0.55 spl0_199|~spl0_10|~spl0_196),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2143,f2140,f512,f2085])).
% 0.16/0.55 fof(f2150,plain,(
% 0.16/0.55 ~ssList(nil)|frontsegP(sk0_48,nil)|~ssList(nil)|~spl0_190),
% 0.16/0.55 inference(resolution,[status(thm)],[f2052,f286])).
% 0.16/0.55 fof(f2151,plain,(
% 0.16/0.55 ~spl0_12|spl0_197|~spl0_190),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2150,f541,f2090,f2051])).
% 0.16/0.55 fof(f2156,plain,(
% 0.16/0.55 spl0_200 <=> ssList(sk0_6(tl(sk0_48),sk0_48))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2158,plain,(
% 0.16/0.55 ~ssList(sk0_6(tl(sk0_48),sk0_48))|spl0_200),
% 0.16/0.55 inference(component_clause,[status(thm)],[f2156])).
% 0.16/0.55 fof(f2159,plain,(
% 0.16/0.55 spl0_201 <=> sk0_6(tl(sk0_48),sk0_48)=sk0_47),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2160,plain,(
% 0.16/0.55 sk0_6(tl(sk0_48),sk0_48)=sk0_47|~spl0_201),
% 0.16/0.55 inference(component_clause,[status(thm)],[f2159])).
% 0.16/0.55 fof(f2162,plain,(
% 0.16/0.55 ~ssList(sk0_6(tl(sk0_48),sk0_48))|sk0_6(tl(sk0_48),sk0_48)=sk0_47|~ssList(sk0_48)|~ssList(tl(sk0_48))|~rearsegP(sk0_48,tl(sk0_48))|~spl0_80),
% 0.16/0.55 inference(resolution,[status(thm)],[f1172,f129])).
% 0.16/0.55 fof(f2163,plain,(
% 0.16/0.55 ~spl0_200|spl0_201|~spl0_10|~spl0_5|~spl0_87|~spl0_80),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2162,f2156,f2159,f512,f493,f1225,f1171])).
% 0.16/0.55 fof(f2170,plain,(
% 0.16/0.55 ~ssList(sk0_47)|~spl0_201|spl0_200),
% 0.16/0.55 inference(backward_demodulation,[status(thm)],[f2160,f2158])).
% 0.16/0.55 fof(f2171,plain,(
% 0.16/0.55 ~spl0_11|~spl0_201|spl0_200),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2170,f530,f2159,f2156])).
% 0.16/0.55 fof(f2175,plain,(
% 0.16/0.55 spl0_202 <=> ~pd0_0(X0,X1,sk0_48,sk0_47)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f2176,plain,(
% 0.16/0.55 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~spl0_202)),
% 0.16/0.55 inference(component_clause,[status(thm)],[f2175])).
% 0.16/0.55 fof(f2178,plain,(
% 0.16/0.55 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~ssList(tl(sk0_48))|~spl0_150|~spl0_161|~spl0_4)),
% 0.16/0.55 inference(paramodulation,[status(thm)],[f491,f1992])).
% 0.16/0.55 fof(f2179,plain,(
% 0.16/0.55 spl0_202|~spl0_5|~spl0_150|~spl0_161|~spl0_4),
% 0.16/0.55 inference(split_clause,[status(thm)],[f2178,f2175,f493,f1722,f1884,f490])).
% 0.16/0.55 fof(f2180,plain,(
% 0.16/0.55 $false|~spl0_202|~spl0_0),
% 0.16/0.55 inference(backward_subsumption_resolution,[status(thm)],[f479,f2176])).
% 0.16/0.55 fof(f2181,plain,(
% 0.16/0.55 ~spl0_202|~spl0_0),
% 0.16/0.55 inference(contradiction_clause,[status(thm)],[f2180])).
% 0.16/0.55 fof(f2182,plain,(
% 0.16/0.55 $false),
% 0.16/0.55 inference(sat_refutation,[status(thm)],[f438,f442,f484,f500,f516,f518,f526,f534,f536,f561,f563,f586,f593,f610,f612,f646,f651,f684,f691,f696,f708,f728,f735,f740,f784,f787,f888,f893,f931,f943,f974,f980,f1026,f1043,f1053,f1064,f1069,f1074,f1095,f1113,f1118,f1130,f1138,f1145,f1150,f1155,f1160,f1165,f1170,f1175,f1182,f1189,f1200,f1205,f1210,f1212,f1224,f1229,f1234,f1236,f1251,f1256,f1260,f1262,f1274,f1377,f1384,f1414,f1416,f1421,f1423,f1428,f1433,f1440,f1447,f1465,f1598,f1600,f1602,f1631,f1646,f1651,f1656,f1661,f1666,f1671,f1726,f1819,f1824,f1829,f1839,f1853,f1858,f1863,f1870,f1875,f1880,f1888,f2002,f2020,f2024,f2029,f2031,f2038,f2043,f2050,f2055,f2060,f2065,f2070,f2077,f2082,f2098,f2100,f2139,f2144,f2151,f2163,f2171,f2179,f2181])).
% 0.16/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.56 % Elapsed time: 0.240120 seconds
% 0.16/0.56 % CPU time: 1.265741 seconds
% 0.16/0.56 % Memory used: 73.596 MB
%------------------------------------------------------------------------------