TSTP Solution File: SWC204+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC204+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:44:56 EDT 2024

% Result   : Theorem 0.20s 0.42s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWC204+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Apr 30 00:14:25 EDT 2024
% 0.13/0.36  % CPUTime  : 
% 0.20/0.37  % Drodi V3.6.0
% 0.20/0.42  % Refutation found
% 0.20/0.42  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.42  % SZS output start CNFRefutation for theBenchmark
% 0.20/0.42  fof(f3,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ( memberP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(W,cons(V,X)) = U ) )) )) ) )) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f5,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f6,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( rearsegP(U,V)<=> (? [W] :( ssList(W)& app(W,V) = U ) )) ) )) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f7,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f15,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f17,axiom,(
% 0.20/0.42    ssList(nil) ),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f18,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> cons(V,U) != U ) )) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f22,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> ( nil != U=> ssItem(hd(U)) ) ) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f24,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> ( nil != U=> ssList(tl(U)) ) ) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f26,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f28,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f78,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> ( nil != U=> cons(hd(U),tl(U)) = U ) ) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f79,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(W,V) = app(U,V)=> W = U ) ) )) )) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f80,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(V,W) = app(V,U)=> W = U ) ) )) )) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f82,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> app(app(U,V),W) = app(U,app(V,W)) ) )) )) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f83,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil = app(U,V)<=> ( nil = V& nil = U ) ) ) )) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f84,axiom,(
% 0.20/0.42    (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f96,conjecture,(
% 0.20/0.42    (! [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) ) )))| neq(U,nil) )& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 0.20/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42  fof(f97,negated_conjecture,(
% 0.20/0.42    ~((! [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) ) )))| neq(U,nil) )& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 0.20/0.42    inference(negated_conjecture,[status(cth)],[f96])).
% 0.20/0.42  fof(f106,plain,(
% 0.20/0.42    ![U]: (~ssList(U)|(![V]: (~ssItem(V)|(memberP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U))))))))),
% 0.20/0.42    inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.20/0.42  fof(f107,plain,(
% 0.20/0.42    ![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)))))))))),
% 0.20/0.42    inference(NNF_transformation,[status(esa)],[f106])).
% 0.20/0.43  fof(f108,plain,(
% 0.20/0.43    ![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)))))))))),
% 0.20/0.43    inference(skolemization,[status(esa)],[f107])).
% 0.20/0.43  fof(f111,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~memberP(X0,X1)|app(sk0_2(X1,X0),cons(X1,sk0_3(X1,X0)))=X0)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f108])).
% 0.20/0.43  fof(f119,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.20/0.43  fof(f120,plain,(
% 0.20/0.43    ![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)))))))),
% 0.20/0.43    inference(NNF_transformation,[status(esa)],[f119])).
% 0.20/0.43  fof(f121,plain,(
% 0.20/0.43    ![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)))))))),
% 0.20/0.43    inference(skolemization,[status(esa)],[f120])).
% 0.20/0.43  fof(f122,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sk0_5(X1,X0)))),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f121])).
% 0.20/0.43  fof(f123,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sk0_5(X1,X0))=X0)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f121])).
% 0.20/0.43  fof(f124,plain,(
% 0.20/0.43    ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|frontsegP(X0,X1)|~ssList(X2)|~app(X1,X2)=X0)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f121])).
% 0.20/0.43  fof(f125,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(![V]: (~ssList(V)|(rearsegP(U,V)<=>(?[W]: (ssList(W)&app(W,V)=U))))))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.20/0.43  fof(f126,plain,(
% 0.20/0.43    ![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)))))))),
% 0.20/0.43    inference(NNF_transformation,[status(esa)],[f125])).
% 0.20/0.43  fof(f127,plain,(
% 0.20/0.43    ![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)))))))),
% 0.20/0.43    inference(skolemization,[status(esa)],[f126])).
% 0.20/0.43  fof(f128,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|ssList(sk0_6(X1,X0)))),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f127])).
% 0.20/0.43  fof(f129,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|app(sk0_6(X1,X0),X1)=X0)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f127])).
% 0.20/0.43  fof(f130,plain,(
% 0.20/0.43    ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|rearsegP(X0,X1)|~ssList(X2)|~app(X2,X1)=X0)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f127])).
% 0.20/0.43  fof(f131,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.20/0.43  fof(f132,plain,(
% 0.20/0.43    ![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)))))))))),
% 0.20/0.43    inference(NNF_transformation,[status(esa)],[f131])).
% 0.20/0.43  fof(f133,plain,(
% 0.20/0.43    ![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)))))))))),
% 0.20/0.43    inference(skolemization,[status(esa)],[f132])).
% 0.20/0.43  fof(f136,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|app(app(sk0_7(X1,X0),X1),sk0_8(X1,X0))=X0)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f133])).
% 0.20/0.43  fof(f217,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.20/0.43  fof(f218,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.20/0.43    inference(NNF_transformation,[status(esa)],[f217])).
% 0.20/0.43  fof(f219,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f218])).
% 0.20/0.43  fof(f220,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f218])).
% 0.20/0.43  fof(f223,plain,(
% 0.20/0.43    ssList(nil)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.43  fof(f224,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~cons(V,U)=U)))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.20/0.43  fof(f225,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~cons(X1,X0)=X0)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f224])).
% 0.20/0.43  fof(f236,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(nil=U|ssItem(hd(U))))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.20/0.43  fof(f237,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|nil=X0|ssItem(hd(X0)))),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f236])).
% 0.20/0.43  fof(f240,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(nil=U|ssList(tl(U))))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.20/0.43  fof(f241,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|nil=X0|ssList(tl(X0)))),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f240])).
% 0.20/0.43  fof(f244,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.20/0.43  fof(f245,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f244])).
% 0.20/0.43  fof(f248,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.20/0.43  fof(f249,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f248])).
% 0.20/0.43  fof(f373,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(nil=U|cons(hd(U),tl(U))=U))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f78])).
% 0.20/0.43  fof(f374,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|nil=X0|cons(hd(X0),tl(X0))=X0)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f373])).
% 0.20/0.43  fof(f375,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(W,V)=app(U,V)|W=U))))))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f79])).
% 0.20/0.43  fof(f376,plain,(
% 0.20/0.43    ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X2,X1)=app(X0,X1)|X2=X0)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f375])).
% 0.20/0.43  fof(f377,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(V,W)=app(V,U)|W=U))))))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f80])).
% 0.20/0.43  fof(f378,plain,(
% 0.20/0.43    ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X1,X2)=app(X1,X0)|X2=X0)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f377])).
% 0.20/0.43  fof(f381,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|app(app(U,V),W)=app(U,app(V,W)))))))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f82])).
% 0.20/0.43  fof(f382,plain,(
% 0.20/0.43    ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X0,X1),X2)=app(X0,app(X1,X2)))),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f381])).
% 0.20/0.43  fof(f383,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=app(U,V)<=>(nil=V&nil=U)))))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f83])).
% 0.20/0.43  fof(f384,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~nil=app(U,V)|(nil=V&nil=U))&(nil=app(U,V)|(~nil=V|~nil=U))))))),
% 0.20/0.43    inference(NNF_transformation,[status(esa)],[f383])).
% 0.20/0.43  fof(f385,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X1)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f384])).
% 0.20/0.43  fof(f386,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X0)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f384])).
% 0.20/0.43  fof(f388,plain,(
% 0.20/0.43    ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.20/0.43  fof(f389,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f388])).
% 0.20/0.43  fof(f415,plain,(
% 0.20/0.43    (?[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))))))&~neq(U,nil))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.20/0.43  fof(f416,plain,(
% 0.20/0.43    ![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))))))&~neq(U,nil)))),
% 0.20/0.43    introduced(predicate_definition,[f415])).
% 0.20/0.43  fof(f417,plain,(
% 0.20/0.43    ?[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)))))))))))),
% 0.20/0.43    inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.20/0.43  fof(f418,plain,(
% 0.20/0.43    (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))))))))),
% 0.20/0.43    inference(skolemization,[status(esa)],[f417])).
% 0.20/0.43  fof(f419,plain,(
% 0.20/0.43    ssList(sk0_47)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f418])).
% 0.20/0.43  fof(f420,plain,(
% 0.20/0.43    ssList(sk0_48)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f418])).
% 0.20/0.43  fof(f423,plain,(
% 0.20/0.43    sk0_48=sk0_50),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f418])).
% 0.20/0.43  fof(f424,plain,(
% 0.20/0.43    sk0_47=sk0_49),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f418])).
% 0.20/0.43  fof(f425,plain,(
% 0.20/0.43    pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f418])).
% 0.20/0.43  fof(f426,plain,(
% 0.20/0.43    pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~neq(sk0_50,nil)),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f418])).
% 0.20/0.43  fof(f427,plain,(
% 0.20/0.43    ![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))))))&~neq(U,nil)))),
% 0.20/0.43    inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.20/0.43  fof(f428,plain,(
% 0.20/0.43    ![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)))))&~neq(U,nil)))),
% 0.20/0.43    inference(miniscoping,[status(esa)],[f427])).
% 0.20/0.43  fof(f429,plain,(
% 0.20/0.43    ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|neq(X2,nil))),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f428])).
% 0.20/0.43  fof(f430,plain,(
% 0.20/0.43    ![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))),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f428])).
% 0.20/0.43  fof(f431,plain,(
% 0.20/0.43    ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|~neq(X3,nil))),
% 0.20/0.43    inference(cnf_transformation,[status(esa)],[f428])).
% 0.20/0.43  fof(f432,plain,(
% 0.20/0.43    spl0_0 <=> pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f433,plain,(
% 0.20/0.43    pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.20/0.43    inference(component_clause,[status(thm)],[f432])).
% 0.20/0.43  fof(f435,plain,(
% 0.20/0.43    spl0_1 <=> neq(sk0_48,nil)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f436,plain,(
% 0.20/0.43    neq(sk0_48,nil)|~spl0_1),
% 0.20/0.43    inference(component_clause,[status(thm)],[f435])).
% 0.20/0.43  fof(f438,plain,(
% 0.20/0.43    spl0_0|spl0_1),
% 0.20/0.43    inference(split_clause,[status(thm)],[f425,f432,f435])).
% 0.20/0.43  fof(f439,plain,(
% 0.20/0.43    spl0_2 <=> neq(sk0_50,nil)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f441,plain,(
% 0.20/0.43    ~neq(sk0_50,nil)|spl0_2),
% 0.20/0.43    inference(component_clause,[status(thm)],[f439])).
% 0.20/0.43  fof(f442,plain,(
% 0.20/0.43    spl0_0|~spl0_2),
% 0.20/0.43    inference(split_clause,[status(thm)],[f426,f432,f439])).
% 0.20/0.43  fof(f447,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 0.20/0.43    inference(destructive_equality_resolution,[status(esa)],[f124])).
% 0.20/0.43  fof(f448,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X1)|rearsegP(app(X0,X1),X1)|~ssList(X0))),
% 0.20/0.43    inference(destructive_equality_resolution,[status(esa)],[f130])).
% 0.20/0.43  fof(f458,plain,(
% 0.20/0.43    ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.20/0.43    inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.20/0.43  fof(f459,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.20/0.43    inference(duplicate_literals_removal,[status(esa)],[f458])).
% 0.20/0.43  fof(f473,plain,(
% 0.20/0.43    ![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))),
% 0.20/0.43    inference(destructive_equality_resolution,[status(esa)],[f430])).
% 0.20/0.43  fof(f476,plain,(
% 0.20/0.43    ~neq(sk0_48,nil)|spl0_2),
% 0.20/0.43    inference(forward_demodulation,[status(thm)],[f423,f441])).
% 0.20/0.43  fof(f477,plain,(
% 0.20/0.43    spl0_3 <=> ssList(sk0_48)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f479,plain,(
% 0.20/0.43    ~ssList(sk0_48)|spl0_3),
% 0.20/0.43    inference(component_clause,[status(thm)],[f477])).
% 0.20/0.43  fof(f480,plain,(
% 0.20/0.43    spl0_4 <=> ssList(nil)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f482,plain,(
% 0.20/0.43    ~ssList(nil)|spl0_4),
% 0.20/0.43    inference(component_clause,[status(thm)],[f480])).
% 0.20/0.43  fof(f483,plain,(
% 0.20/0.43    spl0_5 <=> sk0_48=nil),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f484,plain,(
% 0.20/0.43    sk0_48=nil|~spl0_5),
% 0.20/0.43    inference(component_clause,[status(thm)],[f483])).
% 0.20/0.43  fof(f485,plain,(
% 0.20/0.43    ~sk0_48=nil|spl0_5),
% 0.20/0.43    inference(component_clause,[status(thm)],[f483])).
% 0.20/0.43  fof(f486,plain,(
% 0.20/0.43    ~ssList(sk0_48)|~ssList(nil)|sk0_48=nil|spl0_2),
% 0.20/0.43    inference(resolution,[status(thm)],[f476,f220])).
% 0.20/0.43  fof(f487,plain,(
% 0.20/0.43    ~spl0_3|~spl0_4|spl0_5|spl0_2),
% 0.20/0.43    inference(split_clause,[status(thm)],[f486,f477,f480,f483,f439])).
% 0.20/0.43  fof(f496,plain,(
% 0.20/0.43    $false|spl0_4),
% 0.20/0.43    inference(forward_subsumption_resolution,[status(thm)],[f482,f223])).
% 0.20/0.43  fof(f497,plain,(
% 0.20/0.43    spl0_4),
% 0.20/0.43    inference(contradiction_clause,[status(thm)],[f496])).
% 0.20/0.43  fof(f498,plain,(
% 0.20/0.43    $false|spl0_3),
% 0.20/0.43    inference(forward_subsumption_resolution,[status(thm)],[f479,f420])).
% 0.20/0.43  fof(f499,plain,(
% 0.20/0.43    spl0_3),
% 0.20/0.43    inference(contradiction_clause,[status(thm)],[f498])).
% 0.20/0.43  fof(f507,plain,(
% 0.20/0.43    spl0_8 <=> ssList(sk0_47)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f509,plain,(
% 0.20/0.43    ~ssList(sk0_47)|spl0_8),
% 0.20/0.43    inference(component_clause,[status(thm)],[f507])).
% 0.20/0.43  fof(f510,plain,(
% 0.20/0.43    spl0_9 <=> sk0_47=nil),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f511,plain,(
% 0.20/0.43    sk0_47=nil|~spl0_9),
% 0.20/0.43    inference(component_clause,[status(thm)],[f510])).
% 0.20/0.43  fof(f520,plain,(
% 0.20/0.43    $false|spl0_8),
% 0.20/0.43    inference(forward_subsumption_resolution,[status(thm)],[f509,f419])).
% 0.20/0.43  fof(f521,plain,(
% 0.20/0.43    spl0_8),
% 0.20/0.43    inference(contradiction_clause,[status(thm)],[f520])).
% 0.20/0.43  fof(f522,plain,(
% 0.20/0.43    pd0_0(sk0_50,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 0.20/0.43    inference(forward_demodulation,[status(thm)],[f424,f433])).
% 0.20/0.43  fof(f525,plain,(
% 0.20/0.43    pd0_0(sk0_50,nil,sk0_48,sk0_47)|~spl0_9|~spl0_0),
% 0.20/0.43    inference(forward_demodulation,[status(thm)],[f511,f522])).
% 0.20/0.43  fof(f526,plain,(
% 0.20/0.43    pd0_0(sk0_50,nil,sk0_48,nil)|~spl0_9|~spl0_0),
% 0.20/0.43    inference(forward_demodulation,[status(thm)],[f511,f525])).
% 0.20/0.43  fof(f527,plain,(
% 0.20/0.43    ~neq(nil,nil)|~spl0_9|~spl0_0),
% 0.20/0.43    inference(resolution,[status(thm)],[f526,f431])).
% 0.20/0.43  fof(f528,plain,(
% 0.20/0.43    neq(sk0_48,nil)|~spl0_9|~spl0_0),
% 0.20/0.43    inference(resolution,[status(thm)],[f526,f429])).
% 0.20/0.43  fof(f529,plain,(
% 0.20/0.43    spl0_11 <=> nil=nil),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f536,plain,(
% 0.20/0.43    pd0_0(sk0_48,nil,sk0_48,nil)|~spl0_9|~spl0_0),
% 0.20/0.43    inference(backward_demodulation,[status(thm)],[f423,f526])).
% 0.20/0.43  fof(f539,plain,(
% 0.20/0.43    spl0_12 <=> ssList(app(nil,tl(sk0_48)))),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f541,plain,(
% 0.20/0.43    ~ssList(app(nil,tl(sk0_48)))|spl0_12),
% 0.20/0.43    inference(component_clause,[status(thm)],[f539])).
% 0.20/0.43  fof(f542,plain,(
% 0.20/0.43    spl0_13 <=> sk0_48=app(nil,tl(sk0_48))),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f543,plain,(
% 0.20/0.43    sk0_48=app(nil,tl(sk0_48))|~spl0_13),
% 0.20/0.43    inference(component_clause,[status(thm)],[f542])).
% 0.20/0.43  fof(f545,plain,(
% 0.20/0.43    spl0_14 <=> ssList(tl(sk0_48))),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f547,plain,(
% 0.20/0.43    ~ssList(tl(sk0_48))|spl0_14),
% 0.20/0.43    inference(component_clause,[status(thm)],[f545])).
% 0.20/0.43  fof(f548,plain,(
% 0.20/0.43    spl0_15 <=> neq(nil,sk0_48)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f550,plain,(
% 0.20/0.43    ~neq(nil,sk0_48)|spl0_15),
% 0.20/0.43    inference(component_clause,[status(thm)],[f548])).
% 0.20/0.43  fof(f551,plain,(
% 0.20/0.43    ~ssList(app(nil,tl(sk0_48)))|sk0_48=app(nil,tl(sk0_48))|~ssList(tl(sk0_48))|~neq(nil,sk0_48)|~spl0_9|~spl0_0),
% 0.20/0.43    inference(resolution,[status(thm)],[f473,f536])).
% 0.20/0.43  fof(f552,plain,(
% 0.20/0.43    ~spl0_12|spl0_13|~spl0_14|~spl0_15|~spl0_9|~spl0_0),
% 0.20/0.43    inference(split_clause,[status(thm)],[f551,f539,f542,f545,f548,f510,f432])).
% 0.20/0.43  fof(f553,plain,(
% 0.20/0.43    ~ssList(nil)|~ssList(sk0_48)|nil=sk0_48|spl0_15),
% 0.20/0.43    inference(resolution,[status(thm)],[f550,f220])).
% 0.20/0.43  fof(f554,plain,(
% 0.20/0.43    ~spl0_4|~spl0_3|spl0_5|spl0_15),
% 0.20/0.43    inference(split_clause,[status(thm)],[f553,f480,f477,f483,f548])).
% 0.20/0.43  fof(f563,plain,(
% 0.20/0.43    neq(nil,nil)|~spl0_5|~spl0_1),
% 0.20/0.43    inference(backward_demodulation,[status(thm)],[f484,f436])).
% 0.20/0.43  fof(f572,plain,(
% 0.20/0.43    ~ssList(sk0_48)|nil=sk0_48|spl0_14),
% 0.20/0.43    inference(resolution,[status(thm)],[f547,f241])).
% 0.20/0.43  fof(f573,plain,(
% 0.20/0.43    ~spl0_3|spl0_5|spl0_14),
% 0.20/0.43    inference(split_clause,[status(thm)],[f572,f477,f483,f545])).
% 0.20/0.43  fof(f581,plain,(
% 0.20/0.43    neq(nil,nil)|~spl0_5|~spl0_9|~spl0_0),
% 0.20/0.43    inference(forward_demodulation,[status(thm)],[f484,f528])).
% 0.20/0.43  fof(f582,plain,(
% 0.20/0.43    $false|~spl0_5|~spl0_9|~spl0_0),
% 0.20/0.43    inference(forward_subsumption_resolution,[status(thm)],[f581,f527])).
% 0.20/0.43  fof(f583,plain,(
% 0.20/0.43    ~spl0_5|~spl0_9|~spl0_0),
% 0.20/0.43    inference(contradiction_clause,[status(thm)],[f582])).
% 0.20/0.43  fof(f587,plain,(
% 0.20/0.43    ~ssList(nil)|~ssList(tl(sk0_48))|spl0_12),
% 0.20/0.43    inference(resolution,[status(thm)],[f541,f245])).
% 0.20/0.43  fof(f588,plain,(
% 0.20/0.43    ~spl0_4|~spl0_14|spl0_12),
% 0.20/0.43    inference(split_clause,[status(thm)],[f587,f480,f545,f539])).
% 0.20/0.43  fof(f589,plain,(
% 0.20/0.43    spl0_16 <=> sk0_48=tl(sk0_48)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f590,plain,(
% 0.20/0.43    sk0_48=tl(sk0_48)|~spl0_16),
% 0.20/0.43    inference(component_clause,[status(thm)],[f589])).
% 0.20/0.43  fof(f592,plain,(
% 0.20/0.43    ~ssList(tl(sk0_48))|sk0_48=tl(sk0_48)|~spl0_13),
% 0.20/0.43    inference(paramodulation,[status(thm)],[f543,f249])).
% 0.20/0.43  fof(f593,plain,(
% 0.20/0.43    ~spl0_14|spl0_16|~spl0_13),
% 0.20/0.43    inference(split_clause,[status(thm)],[f592,f545,f589,f542])).
% 0.20/0.43  fof(f597,plain,(
% 0.20/0.43    spl0_17 <=> ~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=cons(X0,sk0_3(X0,nil))|~ssItem(X0)|~memberP(nil,X0)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f600,plain,(
% 0.20/0.43    ![X0]: (~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=cons(X0,sk0_3(X0,nil))|~ssList(nil)|~ssItem(X0)|~memberP(nil,X0))),
% 0.20/0.43    inference(resolution,[status(thm)],[f385,f111])).
% 0.20/0.43  fof(f601,plain,(
% 0.20/0.43    spl0_17|~spl0_4),
% 0.20/0.43    inference(split_clause,[status(thm)],[f600,f597,f480])).
% 0.20/0.43  fof(f602,plain,(
% 0.20/0.43    ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.20/0.43    inference(resolution,[status(thm)],[f385,f249])).
% 0.20/0.43  fof(f603,plain,(
% 0.20/0.43    ~spl0_4|spl0_11),
% 0.20/0.43    inference(split_clause,[status(thm)],[f602,f480,f529])).
% 0.20/0.43  fof(f612,plain,(
% 0.20/0.43    spl0_19 <=> ~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=sk0_2(X0,nil)|~ssItem(X0)|~memberP(nil,X0)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f615,plain,(
% 0.20/0.43    ![X0]: (~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=sk0_2(X0,nil)|~ssList(nil)|~ssItem(X0)|~memberP(nil,X0))),
% 0.20/0.43    inference(resolution,[status(thm)],[f386,f111])).
% 0.20/0.43  fof(f616,plain,(
% 0.20/0.43    spl0_19|~spl0_4),
% 0.20/0.43    inference(split_clause,[status(thm)],[f615,f612,f480])).
% 0.20/0.43  fof(f621,plain,(
% 0.20/0.43    spl0_20 <=> ~ssList(X0)|~ssList(app(X0,nil))|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f624,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(X0,nil))|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.20/0.43    inference(resolution,[status(thm)],[f376,f389])).
% 0.20/0.43  fof(f625,plain,(
% 0.20/0.43    spl0_20|~spl0_4),
% 0.20/0.43    inference(split_clause,[status(thm)],[f624,f621,f480])).
% 0.20/0.43  fof(f637,plain,(
% 0.20/0.43    spl0_23 <=> ~ssList(X0)|~ssList(app(nil,X0))|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f640,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(nil,X0))|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.20/0.43    inference(resolution,[status(thm)],[f378,f249])).
% 0.20/0.43  fof(f641,plain,(
% 0.20/0.43    spl0_23|~spl0_4),
% 0.20/0.43    inference(split_clause,[status(thm)],[f640,f637,f480])).
% 0.20/0.43  fof(f653,plain,(
% 0.20/0.43    ~ssList(nil)|~spl0_5|~spl0_1),
% 0.20/0.43    inference(resolution,[status(thm)],[f563,f459])).
% 0.20/0.43  fof(f654,plain,(
% 0.20/0.43    ~spl0_4|~spl0_5|~spl0_1),
% 0.20/0.43    inference(split_clause,[status(thm)],[f653,f480,f483,f435])).
% 0.20/0.43  fof(f656,plain,(
% 0.20/0.43    spl0_24 <=> ssList(app(sk0_47,tl(sk0_50)))),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f658,plain,(
% 0.20/0.43    ~ssList(app(sk0_47,tl(sk0_50)))|spl0_24),
% 0.20/0.43    inference(component_clause,[status(thm)],[f656])).
% 0.20/0.43  fof(f659,plain,(
% 0.20/0.43    spl0_25 <=> sk0_50=app(sk0_47,tl(sk0_50))),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f660,plain,(
% 0.20/0.43    sk0_50=app(sk0_47,tl(sk0_50))|~spl0_25),
% 0.20/0.43    inference(component_clause,[status(thm)],[f659])).
% 0.20/0.43  fof(f662,plain,(
% 0.20/0.43    spl0_26 <=> ssList(tl(sk0_50))),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f664,plain,(
% 0.20/0.43    ~ssList(tl(sk0_50))|spl0_26),
% 0.20/0.43    inference(component_clause,[status(thm)],[f662])).
% 0.20/0.43  fof(f665,plain,(
% 0.20/0.43    spl0_27 <=> neq(nil,sk0_50)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f667,plain,(
% 0.20/0.43    ~neq(nil,sk0_50)|spl0_27),
% 0.20/0.43    inference(component_clause,[status(thm)],[f665])).
% 0.20/0.43  fof(f668,plain,(
% 0.20/0.43    ~ssList(app(sk0_47,tl(sk0_50)))|sk0_50=app(sk0_47,tl(sk0_50))|~ssList(tl(sk0_50))|~neq(nil,sk0_50)|~spl0_0),
% 0.20/0.43    inference(resolution,[status(thm)],[f522,f473])).
% 0.20/0.43  fof(f669,plain,(
% 0.20/0.43    ~spl0_24|spl0_25|~spl0_26|~spl0_27|~spl0_0),
% 0.20/0.43    inference(split_clause,[status(thm)],[f668,f656,f659,f662,f665,f432])).
% 0.20/0.43  fof(f670,plain,(
% 0.20/0.43    ~neq(sk0_47,nil)|~spl0_0),
% 0.20/0.43    inference(resolution,[status(thm)],[f522,f431])).
% 0.20/0.43  fof(f684,plain,(
% 0.20/0.43    spl0_30 <=> cons(hd(sk0_48),sk0_48)=sk0_48),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f685,plain,(
% 0.20/0.43    cons(hd(sk0_48),sk0_48)=sk0_48|~spl0_30),
% 0.20/0.43    inference(component_clause,[status(thm)],[f684])).
% 0.20/0.43  fof(f687,plain,(
% 0.20/0.43    ~ssList(sk0_48)|nil=sk0_48|cons(hd(sk0_48),sk0_48)=sk0_48|~spl0_16),
% 0.20/0.43    inference(paramodulation,[status(thm)],[f590,f374])).
% 0.20/0.43  fof(f688,plain,(
% 0.20/0.43    ~spl0_3|spl0_5|spl0_30|~spl0_16),
% 0.20/0.43    inference(split_clause,[status(thm)],[f687,f477,f483,f684,f589])).
% 0.20/0.43  fof(f702,plain,(
% 0.20/0.43    spl0_31 <=> ssList(sk0_50)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f704,plain,(
% 0.20/0.43    ~ssList(sk0_50)|spl0_31),
% 0.20/0.43    inference(component_clause,[status(thm)],[f702])).
% 0.20/0.43  fof(f705,plain,(
% 0.20/0.43    spl0_32 <=> nil=sk0_50),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f706,plain,(
% 0.20/0.43    nil=sk0_50|~spl0_32),
% 0.20/0.43    inference(component_clause,[status(thm)],[f705])).
% 0.20/0.43  fof(f708,plain,(
% 0.20/0.43    ~ssList(nil)|~ssList(sk0_50)|nil=sk0_50|spl0_27),
% 0.20/0.43    inference(resolution,[status(thm)],[f667,f220])).
% 0.20/0.43  fof(f709,plain,(
% 0.20/0.43    ~spl0_4|~spl0_31|spl0_32|spl0_27),
% 0.20/0.43    inference(split_clause,[status(thm)],[f708,f480,f702,f705,f665])).
% 0.20/0.43  fof(f718,plain,(
% 0.20/0.43    spl0_34 <=> ssList(app(nil,tl(sk0_50)))),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f720,plain,(
% 0.20/0.43    ~ssList(app(nil,tl(sk0_50)))|spl0_34),
% 0.20/0.43    inference(component_clause,[status(thm)],[f718])).
% 0.20/0.43  fof(f727,plain,(
% 0.20/0.43    ~ssList(app(nil,tl(sk0_50)))|~spl0_9|spl0_24),
% 0.20/0.43    inference(forward_demodulation,[status(thm)],[f511,f658])).
% 0.20/0.43  fof(f729,plain,(
% 0.20/0.43    spl0_36 <=> sk0_48=sk0_48),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f734,plain,(
% 0.20/0.43    spl0_37 <=> ~ssList(X0)|app(sk0_48,X0)=app(nil,app(sk0_48,X0))),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f744,plain,(
% 0.20/0.43    spl0_39 <=> ~ssList(X0)|~app(nil,X0)=sk0_48|X0=sk0_48),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f751,plain,(
% 0.20/0.43    spl0_40 <=> ~ssList(X0)|~app(X0,sk0_48)=sk0_48|X0=nil),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f752,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~app(X0,sk0_48)=sk0_48|X0=nil|~spl0_40)),
% 0.20/0.43    inference(component_clause,[status(thm)],[f751])).
% 0.20/0.43  fof(f769,plain,(
% 0.20/0.43    spl0_42 <=> ssItem(hd(sk0_48))),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f771,plain,(
% 0.20/0.43    ~ssItem(hd(sk0_48))|spl0_42),
% 0.20/0.43    inference(component_clause,[status(thm)],[f769])).
% 0.20/0.43  fof(f781,plain,(
% 0.20/0.43    ~ssList(nil)|~ssList(tl(sk0_50))|spl0_34),
% 0.20/0.43    inference(resolution,[status(thm)],[f720,f245])).
% 0.20/0.43  fof(f782,plain,(
% 0.20/0.43    ~spl0_4|~spl0_26|spl0_34),
% 0.20/0.43    inference(split_clause,[status(thm)],[f781,f480,f662,f718])).
% 0.20/0.43  fof(f783,plain,(
% 0.20/0.43    ~ssList(sk0_50)|nil=sk0_50|spl0_26),
% 0.20/0.43    inference(resolution,[status(thm)],[f664,f241])).
% 0.20/0.43  fof(f784,plain,(
% 0.20/0.43    ~spl0_31|spl0_32|spl0_26),
% 0.20/0.43    inference(split_clause,[status(thm)],[f783,f702,f705,f662])).
% 0.20/0.43  fof(f812,plain,(
% 0.20/0.43    ~ssList(sk0_48)|spl0_31),
% 0.20/0.43    inference(backward_demodulation,[status(thm)],[f423,f704])).
% 0.20/0.43  fof(f813,plain,(
% 0.20/0.43    ~spl0_3|spl0_31),
% 0.20/0.43    inference(split_clause,[status(thm)],[f812,f477,f702])).
% 0.20/0.43  fof(f816,plain,(
% 0.20/0.43    ~spl0_34|~spl0_9|spl0_24),
% 0.20/0.43    inference(split_clause,[status(thm)],[f727,f718,f510,f656])).
% 0.20/0.43  fof(f817,plain,(
% 0.20/0.43    nil=sk0_48|~spl0_32),
% 0.20/0.43    inference(forward_demodulation,[status(thm)],[f423,f706])).
% 0.20/0.43  fof(f818,plain,(
% 0.20/0.43    $false|spl0_5|~spl0_32),
% 0.20/0.43    inference(forward_subsumption_resolution,[status(thm)],[f817,f485])).
% 0.20/0.43  fof(f819,plain,(
% 0.20/0.43    spl0_5|~spl0_32),
% 0.20/0.43    inference(contradiction_clause,[status(thm)],[f818])).
% 0.20/0.43  fof(f825,plain,(
% 0.20/0.43    sk0_48=app(sk0_47,tl(sk0_50))|~spl0_25),
% 0.20/0.43    inference(forward_demodulation,[status(thm)],[f423,f660])).
% 0.20/0.43  fof(f826,plain,(
% 0.20/0.43    sk0_48=app(sk0_47,tl(sk0_48))|~spl0_25),
% 0.20/0.43    inference(forward_demodulation,[status(thm)],[f423,f825])).
% 0.20/0.43  fof(f827,plain,(
% 0.20/0.43    sk0_48=app(sk0_47,sk0_48)|~spl0_16|~spl0_25),
% 0.20/0.43    inference(forward_demodulation,[status(thm)],[f590,f826])).
% 0.20/0.43  fof(f831,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|~frontsegP(app(X0,X1),X0)|~ssList(X1)|~ssList(X0)|~ssList(sk0_5(X0,app(X0,X1)))|sk0_5(X0,app(X0,X1))=X1)),
% 0.20/0.43    inference(resolution,[status(thm)],[f123,f378])).
% 0.20/0.43  fof(f832,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|~frontsegP(app(X0,X1),X0)|~ssList(X1)|~ssList(sk0_5(X0,app(X0,X1)))|sk0_5(X0,app(X0,X1))=X1)),
% 0.20/0.43    inference(duplicate_literals_removal,[status(esa)],[f831])).
% 0.20/0.43  fof(f833,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~frontsegP(app(X0,X1),X0)|~ssList(X1)|~ssList(sk0_5(X0,app(X0,X1)))|sk0_5(X0,app(X0,X1))=X1)),
% 0.20/0.43    inference(forward_subsumption_resolution,[status(thm)],[f832,f245])).
% 0.20/0.43  fof(f837,plain,(
% 0.20/0.43    spl0_47 <=> ~ssList(X0)|~frontsegP(nil,X0)|~ssList(X0)|~ssList(sk0_5(X0,nil))|nil=X0),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f838,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|~ssList(X0)|~ssList(sk0_5(X0,nil))|nil=X0|~spl0_47)),
% 0.20/0.43    inference(component_clause,[status(thm)],[f837])).
% 0.20/0.43  fof(f840,plain,(
% 0.20/0.43    ![X0]: (~ssList(nil)|~ssList(X0)|~frontsegP(nil,X0)|~ssList(X0)|~ssList(sk0_5(X0,nil))|nil=X0)),
% 0.20/0.43    inference(resolution,[status(thm)],[f123,f386])).
% 0.20/0.43  fof(f841,plain,(
% 0.20/0.43    ~spl0_4|spl0_47),
% 0.20/0.43    inference(split_clause,[status(thm)],[f840,f480,f837])).
% 0.20/0.43  fof(f842,plain,(
% 0.20/0.43    spl0_48 <=> ~ssList(X0)|~frontsegP(nil,X0)|~ssList(X0)|~ssList(sk0_5(X0,nil))|nil=sk0_5(X0,nil)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f843,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|~ssList(X0)|~ssList(sk0_5(X0,nil))|nil=sk0_5(X0,nil)|~spl0_48)),
% 0.20/0.43    inference(component_clause,[status(thm)],[f842])).
% 0.20/0.43  fof(f845,plain,(
% 0.20/0.43    ![X0]: (~ssList(nil)|~ssList(X0)|~frontsegP(nil,X0)|~ssList(X0)|~ssList(sk0_5(X0,nil))|nil=sk0_5(X0,nil))),
% 0.20/0.43    inference(resolution,[status(thm)],[f123,f385])).
% 0.20/0.43  fof(f846,plain,(
% 0.20/0.43    ~spl0_4|spl0_48),
% 0.20/0.43    inference(split_clause,[status(thm)],[f845,f480,f842])).
% 0.20/0.43  fof(f847,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|~ssList(sk0_5(X0,nil))|nil=X0|~spl0_47)),
% 0.20/0.43    inference(duplicate_literals_removal,[status(esa)],[f838])).
% 0.20/0.43  fof(f848,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|~ssList(sk0_5(X0,nil))|nil=sk0_5(X0,nil)|~spl0_48)),
% 0.20/0.43    inference(duplicate_literals_removal,[status(esa)],[f843])).
% 0.20/0.43  fof(f849,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~frontsegP(app(X0,X1),X0)|~ssList(X1)|sk0_5(X0,app(X0,X1))=X1|~ssList(app(X0,X1))|~ssList(X0)|~frontsegP(app(X0,X1),X0))),
% 0.20/0.43    inference(resolution,[status(thm)],[f833,f122])).
% 0.20/0.43  fof(f850,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~frontsegP(app(X0,X1),X0)|~ssList(X1)|sk0_5(X0,app(X0,X1))=X1|~ssList(app(X0,X1)))),
% 0.20/0.43    inference(duplicate_literals_removal,[status(esa)],[f849])).
% 0.20/0.43  fof(f851,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~frontsegP(app(X0,X1),X0)|~ssList(X1)|sk0_5(X0,app(X0,X1))=X1)),
% 0.20/0.43    inference(forward_subsumption_resolution,[status(thm)],[f850,f245])).
% 0.20/0.43  fof(f852,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 0.20/0.43    inference(forward_subsumption_resolution,[status(thm)],[f447,f245])).
% 0.20/0.43  fof(f853,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~ssList(X1)|sk0_5(X0,app(X0,X1))=X1)),
% 0.20/0.43    inference(backward_subsumption_resolution,[status(thm)],[f851,f852])).
% 0.20/0.43  fof(f854,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X1)|~rearsegP(app(X0,X1),X1)|~ssList(X0)|~ssList(X1)|~ssList(sk0_6(X1,app(X0,X1)))|sk0_6(X1,app(X0,X1))=X0)),
% 0.20/0.43    inference(resolution,[status(thm)],[f129,f376])).
% 0.20/0.43  fof(f855,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X1)|~rearsegP(app(X0,X1),X1)|~ssList(X0)|~ssList(sk0_6(X1,app(X0,X1)))|sk0_6(X1,app(X0,X1))=X0)),
% 0.20/0.43    inference(duplicate_literals_removal,[status(esa)],[f854])).
% 0.20/0.43  fof(f856,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~rearsegP(app(X1,X0),X0)|~ssList(X1)|~ssList(sk0_6(X0,app(X1,X0)))|sk0_6(X0,app(X1,X0))=X1)),
% 0.20/0.43    inference(forward_subsumption_resolution,[status(thm)],[f855,f245])).
% 0.20/0.43  fof(f860,plain,(
% 0.20/0.43    spl0_49 <=> ~ssList(X0)|~rearsegP(nil,X0)|~ssList(sk0_6(X0,nil))|~ssList(X0)|nil=sk0_6(X0,nil)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f861,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~rearsegP(nil,X0)|~ssList(sk0_6(X0,nil))|~ssList(X0)|nil=sk0_6(X0,nil)|~spl0_49)),
% 0.20/0.43    inference(component_clause,[status(thm)],[f860])).
% 0.20/0.43  fof(f863,plain,(
% 0.20/0.43    ![X0]: (~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|~ssList(sk0_6(X0,nil))|~ssList(X0)|nil=sk0_6(X0,nil))),
% 0.20/0.43    inference(resolution,[status(thm)],[f129,f386])).
% 0.20/0.43  fof(f864,plain,(
% 0.20/0.43    ~spl0_4|spl0_49),
% 0.20/0.43    inference(split_clause,[status(thm)],[f863,f480,f860])).
% 0.20/0.43  fof(f865,plain,(
% 0.20/0.43    spl0_50 <=> ~ssList(X0)|~rearsegP(nil,X0)|~ssList(sk0_6(X0,nil))|~ssList(X0)|nil=X0),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f866,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~rearsegP(nil,X0)|~ssList(sk0_6(X0,nil))|~ssList(X0)|nil=X0|~spl0_50)),
% 0.20/0.43    inference(component_clause,[status(thm)],[f865])).
% 0.20/0.43  fof(f868,plain,(
% 0.20/0.43    ![X0]: (~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|~ssList(sk0_6(X0,nil))|~ssList(X0)|nil=X0)),
% 0.20/0.43    inference(resolution,[status(thm)],[f129,f385])).
% 0.20/0.43  fof(f869,plain,(
% 0.20/0.43    ~spl0_4|spl0_50),
% 0.20/0.43    inference(split_clause,[status(thm)],[f868,f480,f865])).
% 0.20/0.43  fof(f870,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~rearsegP(nil,X0)|~ssList(sk0_6(X0,nil))|nil=sk0_6(X0,nil)|~spl0_49)),
% 0.20/0.43    inference(duplicate_literals_removal,[status(esa)],[f861])).
% 0.20/0.43  fof(f871,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~rearsegP(nil,X0)|~ssList(sk0_6(X0,nil))|nil=X0|~spl0_50)),
% 0.20/0.43    inference(duplicate_literals_removal,[status(esa)],[f866])).
% 0.20/0.43  fof(f872,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|rearsegP(app(X1,X0),X0)|~ssList(X1))),
% 0.20/0.43    inference(forward_subsumption_resolution,[status(thm)],[f448,f245])).
% 0.20/0.43  fof(f873,plain,(
% 0.20/0.43    ~ssList(sk0_47)|~ssList(nil)|sk0_47=nil|~spl0_0),
% 0.20/0.43    inference(resolution,[status(thm)],[f670,f220])).
% 0.20/0.43  fof(f874,plain,(
% 0.20/0.43    ~spl0_8|~spl0_4|spl0_9|~spl0_0),
% 0.20/0.43    inference(split_clause,[status(thm)],[f873,f507,f480,f510,f432])).
% 0.20/0.43  fof(f883,plain,(
% 0.20/0.43    spl0_51 <=> ssList(app(sk0_47,tl(sk0_48)))),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f885,plain,(
% 0.20/0.43    ~ssList(app(sk0_47,tl(sk0_48)))|spl0_51),
% 0.20/0.43    inference(component_clause,[status(thm)],[f883])).
% 0.20/0.43  fof(f892,plain,(
% 0.20/0.43    ~ssList(app(sk0_47,sk0_48))|~spl0_16|spl0_51),
% 0.20/0.43    inference(forward_demodulation,[status(thm)],[f590,f885])).
% 0.20/0.43  fof(f902,plain,(
% 0.20/0.43    sk0_48=app(nil,sk0_48)|~spl0_9|~spl0_16|~spl0_25),
% 0.20/0.43    inference(forward_demodulation,[status(thm)],[f511,f827])).
% 0.20/0.43  fof(f904,plain,(
% 0.20/0.43    ~ssList(sk0_48)|sk0_48=sk0_48|~spl0_9|~spl0_16|~spl0_25),
% 0.20/0.43    inference(paramodulation,[status(thm)],[f902,f249])).
% 0.20/0.43  fof(f905,plain,(
% 0.20/0.43    ~spl0_3|spl0_36|~spl0_9|~spl0_16|~spl0_25),
% 0.20/0.43    inference(split_clause,[status(thm)],[f904,f477,f729,f510,f589,f659])).
% 0.20/0.43  fof(f906,plain,(
% 0.20/0.43    spl0_53 <=> rearsegP(sk0_48,sk0_48)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f909,plain,(
% 0.20/0.43    ~ssList(sk0_48)|rearsegP(sk0_48,sk0_48)|~ssList(nil)|~spl0_9|~spl0_16|~spl0_25),
% 0.20/0.43    inference(paramodulation,[status(thm)],[f902,f872])).
% 0.20/0.43  fof(f910,plain,(
% 0.20/0.43    ~spl0_3|spl0_53|~spl0_4|~spl0_9|~spl0_16|~spl0_25),
% 0.20/0.43    inference(split_clause,[status(thm)],[f909,f477,f906,f480,f510,f589,f659])).
% 0.20/0.43  fof(f911,plain,(
% 0.20/0.43    spl0_54 <=> sk0_5(nil,sk0_48)=sk0_48),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f912,plain,(
% 0.20/0.43    sk0_5(nil,sk0_48)=sk0_48|~spl0_54),
% 0.20/0.43    inference(component_clause,[status(thm)],[f911])).
% 0.20/0.43  fof(f914,plain,(
% 0.20/0.43    ~ssList(nil)|~ssList(sk0_48)|sk0_5(nil,sk0_48)=sk0_48|~spl0_9|~spl0_16|~spl0_25),
% 0.20/0.43    inference(paramodulation,[status(thm)],[f902,f853])).
% 0.20/0.43  fof(f915,plain,(
% 0.20/0.43    ~spl0_4|~spl0_3|spl0_54|~spl0_9|~spl0_16|~spl0_25),
% 0.20/0.43    inference(split_clause,[status(thm)],[f914,f480,f477,f911,f510,f589,f659])).
% 0.20/0.43  fof(f916,plain,(
% 0.20/0.43    spl0_55 <=> frontsegP(sk0_48,nil)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f919,plain,(
% 0.20/0.43    ~ssList(nil)|frontsegP(sk0_48,nil)|~ssList(sk0_48)|~spl0_9|~spl0_16|~spl0_25),
% 0.20/0.43    inference(paramodulation,[status(thm)],[f902,f852])).
% 0.20/0.43  fof(f920,plain,(
% 0.20/0.43    ~spl0_4|spl0_55|~spl0_3|~spl0_9|~spl0_16|~spl0_25),
% 0.20/0.43    inference(split_clause,[status(thm)],[f919,f480,f916,f477,f510,f589,f659])).
% 0.20/0.43  fof(f921,plain,(
% 0.20/0.43    ![X0]: (~ssList(nil)|~ssList(sk0_48)|~ssList(X0)|app(sk0_48,X0)=app(nil,app(sk0_48,X0))|~spl0_9|~spl0_16|~spl0_25)),
% 0.20/0.43    inference(paramodulation,[status(thm)],[f902,f382])).
% 0.20/0.43  fof(f922,plain,(
% 0.20/0.43    ~spl0_4|~spl0_3|spl0_37|~spl0_9|~spl0_16|~spl0_25),
% 0.20/0.43    inference(split_clause,[status(thm)],[f921,f480,f477,f734,f510,f589,f659])).
% 0.20/0.43  fof(f925,plain,(
% 0.20/0.43    ![X0]: (~ssList(sk0_48)|~ssList(nil)|~ssList(X0)|~app(nil,X0)=sk0_48|X0=sk0_48|~spl0_9|~spl0_16|~spl0_25)),
% 0.20/0.43    inference(paramodulation,[status(thm)],[f902,f378])).
% 0.20/0.43  fof(f926,plain,(
% 0.20/0.43    ~spl0_3|~spl0_4|spl0_39|~spl0_9|~spl0_16|~spl0_25),
% 0.20/0.43    inference(split_clause,[status(thm)],[f925,f477,f480,f744,f510,f589,f659])).
% 0.20/0.43  fof(f929,plain,(
% 0.20/0.43    ![X0]: (~ssList(nil)|~ssList(sk0_48)|~ssList(X0)|~app(X0,sk0_48)=sk0_48|X0=nil|~spl0_9|~spl0_16|~spl0_25)),
% 0.20/0.43    inference(paramodulation,[status(thm)],[f902,f376])).
% 0.20/0.43  fof(f930,plain,(
% 0.20/0.43    ~spl0_4|~spl0_3|spl0_40|~spl0_9|~spl0_16|~spl0_25),
% 0.20/0.43    inference(split_clause,[status(thm)],[f929,f480,f477,f751,f510,f589,f659])).
% 0.20/0.43  fof(f945,plain,(
% 0.20/0.43    ~ssList(app(nil,sk0_48))|~spl0_9|~spl0_16|spl0_51),
% 0.20/0.43    inference(forward_demodulation,[status(thm)],[f511,f892])).
% 0.20/0.43  fof(f946,plain,(
% 0.20/0.43    ~ssList(sk0_48)|~spl0_25|~spl0_9|~spl0_16|spl0_51),
% 0.20/0.43    inference(forward_demodulation,[status(thm)],[f902,f945])).
% 0.20/0.43  fof(f947,plain,(
% 0.20/0.43    $false|~spl0_25|~spl0_9|~spl0_16|spl0_51),
% 0.20/0.43    inference(forward_subsumption_resolution,[status(thm)],[f946,f420])).
% 0.20/0.43  fof(f948,plain,(
% 0.20/0.43    ~spl0_25|~spl0_9|~spl0_16|spl0_51),
% 0.20/0.43    inference(contradiction_clause,[status(thm)],[f947])).
% 0.20/0.43  fof(f954,plain,(
% 0.20/0.43    spl0_56 <=> app(nil,sk0_48)=sk0_48),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f957,plain,(
% 0.20/0.43    ~ssList(sk0_48)|~ssList(nil)|~frontsegP(sk0_48,nil)|app(nil,sk0_48)=sk0_48|~spl0_54),
% 0.20/0.43    inference(paramodulation,[status(thm)],[f912,f123])).
% 0.20/0.43  fof(f958,plain,(
% 0.20/0.43    ~spl0_3|~spl0_4|~spl0_55|spl0_56|~spl0_54),
% 0.20/0.43    inference(split_clause,[status(thm)],[f957,f477,f480,f916,f954,f911])).
% 0.20/0.43  fof(f961,plain,(
% 0.20/0.43    spl0_57 <=> ssList(sk0_6(sk0_48,sk0_48))),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f963,plain,(
% 0.20/0.43    ~ssList(sk0_6(sk0_48,sk0_48))|spl0_57),
% 0.20/0.43    inference(component_clause,[status(thm)],[f961])).
% 0.20/0.43  fof(f964,plain,(
% 0.20/0.43    spl0_58 <=> sk0_6(sk0_48,sk0_48)=nil),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f967,plain,(
% 0.20/0.43    ~ssList(sk0_6(sk0_48,sk0_48))|sk0_6(sk0_48,sk0_48)=nil|~ssList(sk0_48)|~ssList(sk0_48)|~rearsegP(sk0_48,sk0_48)|~spl0_40),
% 0.20/0.43    inference(resolution,[status(thm)],[f752,f129])).
% 0.20/0.43  fof(f968,plain,(
% 0.20/0.43    ~spl0_57|spl0_58|~spl0_3|~spl0_53|~spl0_40),
% 0.20/0.43    inference(split_clause,[status(thm)],[f967,f961,f964,f477,f906,f751])).
% 0.20/0.43  fof(f975,plain,(
% 0.20/0.43    ~ssList(sk0_48)|~ssList(sk0_48)|~rearsegP(sk0_48,sk0_48)|spl0_57),
% 0.20/0.43    inference(resolution,[status(thm)],[f963,f128])).
% 0.20/0.43  fof(f976,plain,(
% 0.20/0.43    ~spl0_3|~spl0_53|spl0_57),
% 0.20/0.43    inference(split_clause,[status(thm)],[f975,f477,f906,f961])).
% 0.20/0.43  fof(f993,plain,(
% 0.20/0.43    spl0_60 <=> ~ssList(X0)|~frontsegP(nil,X0)|nil=X0|~ssList(X0)|~frontsegP(nil,X0)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f996,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|nil=X0|~ssList(nil)|~ssList(X0)|~frontsegP(nil,X0)|~spl0_47)),
% 0.20/0.43    inference(resolution,[status(thm)],[f847,f122])).
% 0.20/0.43  fof(f997,plain,(
% 0.20/0.43    spl0_60|~spl0_4|~spl0_47),
% 0.20/0.43    inference(split_clause,[status(thm)],[f996,f993,f480,f837])).
% 0.20/0.43  fof(f1003,plain,(
% 0.20/0.43    spl0_61 <=> ~ssList(X0)|~rearsegP(nil,X0)|nil=X0|~ssList(X0)|~rearsegP(nil,X0)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f1006,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~rearsegP(nil,X0)|nil=X0|~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|~spl0_50)),
% 0.20/0.43    inference(resolution,[status(thm)],[f871,f128])).
% 0.20/0.43  fof(f1007,plain,(
% 0.20/0.43    spl0_61|~spl0_4|~spl0_50),
% 0.20/0.43    inference(split_clause,[status(thm)],[f1006,f1003,f480,f865])).
% 0.20/0.43  fof(f1013,plain,(
% 0.20/0.43    spl0_62 <=> ~ssList(X0)|~frontsegP(nil,X0)|nil=sk0_5(X0,nil)|~ssList(X0)|~frontsegP(nil,X0)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f1016,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|nil=sk0_5(X0,nil)|~ssList(nil)|~ssList(X0)|~frontsegP(nil,X0)|~spl0_48)),
% 0.20/0.43    inference(resolution,[status(thm)],[f848,f122])).
% 0.20/0.43  fof(f1017,plain,(
% 0.20/0.43    spl0_62|~spl0_4|~spl0_48),
% 0.20/0.43    inference(split_clause,[status(thm)],[f1016,f1013,f480,f842])).
% 0.20/0.43  fof(f1019,plain,(
% 0.20/0.43    spl0_63 <=> ~ssList(X0)|~rearsegP(nil,X0)|nil=sk0_6(X0,nil)|~ssList(X0)|~rearsegP(nil,X0)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f1022,plain,(
% 0.20/0.43    ![X0]: (~ssList(X0)|~rearsegP(nil,X0)|nil=sk0_6(X0,nil)|~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|~spl0_49)),
% 0.20/0.43    inference(resolution,[status(thm)],[f870,f128])).
% 0.20/0.43  fof(f1023,plain,(
% 0.20/0.43    spl0_63|~spl0_4|~spl0_49),
% 0.20/0.43    inference(split_clause,[status(thm)],[f1022,f1019,f480,f860])).
% 0.20/0.43  fof(f1025,plain,(
% 0.20/0.43    ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(sk0_6(X0,app(X1,X0)))|sk0_6(X0,app(X1,X0))=X1)),
% 0.20/0.43    inference(forward_subsumption_resolution,[status(thm)],[f856,f872])).
% 0.20/0.43  fof(f1029,plain,(
% 0.20/0.43    spl0_64 <=> sk0_6(sk0_48,app(nil,sk0_48))=nil),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f1032,plain,(
% 0.20/0.43    ~ssList(sk0_48)|~ssList(nil)|~ssList(sk0_6(sk0_48,sk0_48))|sk0_6(sk0_48,app(nil,sk0_48))=nil|~spl0_9|~spl0_16|~spl0_25),
% 0.20/0.43    inference(paramodulation,[status(thm)],[f902,f1025])).
% 0.20/0.43  fof(f1033,plain,(
% 0.20/0.43    ~spl0_3|~spl0_4|~spl0_57|spl0_64|~spl0_9|~spl0_16|~spl0_25),
% 0.20/0.43    inference(split_clause,[status(thm)],[f1032,f477,f480,f961,f1029,f510,f589,f659])).
% 0.20/0.43  fof(f1038,plain,(
% 0.20/0.43    spl0_65 <=> ~ssList(X0)|~segmentP(nil,X0)|~ssList(app(sk0_7(X0,nil),X0))|~ssList(sk0_8(X0,nil))|nil=app(sk0_7(X0,nil),X0)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f1041,plain,(
% 0.20/0.43    ![X0]: (~ssList(nil)|~ssList(X0)|~segmentP(nil,X0)|~ssList(app(sk0_7(X0,nil),X0))|~ssList(sk0_8(X0,nil))|nil=app(sk0_7(X0,nil),X0))),
% 0.20/0.43    inference(resolution,[status(thm)],[f136,f386])).
% 0.20/0.43  fof(f1042,plain,(
% 0.20/0.43    ~spl0_4|spl0_65),
% 0.20/0.43    inference(split_clause,[status(thm)],[f1041,f480,f1038])).
% 0.20/0.43  fof(f1043,plain,(
% 0.20/0.43    spl0_66 <=> ~ssList(X0)|~segmentP(nil,X0)|~ssList(app(sk0_7(X0,nil),X0))|~ssList(sk0_8(X0,nil))|nil=sk0_8(X0,nil)),
% 0.20/0.43    introduced(split_symbol_definition)).
% 0.20/0.43  fof(f1046,plain,(
% 0.20/0.43    ![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))),
% 0.20/0.43    inference(resolution,[status(thm)],[f136,f385])).
% 0.20/0.43  fof(f1047,plain,(
% 0.20/0.43    ~spl0_4|spl0_66),
% 0.20/0.43    inference(split_clause,[status(thm)],[f1046,f480,f1043])).
% 0.20/0.43  fof(f1056,plain,(
% 0.20/0.43    ~ssList(sk0_48)|~ssItem(hd(sk0_48))|~spl0_30),
% 0.20/0.43    inference(resolution,[status(thm)],[f225,f685])).
% 0.20/0.43  fof(f1057,plain,(
% 0.20/0.43    ~spl0_3|~spl0_42|~spl0_30),
% 0.20/0.43    inference(split_clause,[status(thm)],[f1056,f477,f769,f684])).
% 0.20/0.43  fof(f1060,plain,(
% 0.20/0.43    ~ssList(sk0_48)|nil=sk0_48|spl0_42),
% 0.20/0.43    inference(resolution,[status(thm)],[f237,f771])).
% 0.20/0.43  fof(f1061,plain,(
% 0.20/0.43    ~spl0_3|spl0_5|spl0_42),
% 0.20/0.43    inference(split_clause,[status(thm)],[f1060,f477,f483,f769])).
% 0.20/0.43  fof(f1062,plain,(
% 0.20/0.43    $false),
% 0.20/0.43    inference(sat_refutation,[status(thm)],[f438,f442,f487,f497,f499,f521,f552,f554,f573,f583,f588,f593,f601,f603,f616,f625,f641,f654,f669,f688,f709,f782,f784,f813,f816,f819,f841,f846,f864,f869,f874,f905,f910,f915,f920,f922,f926,f930,f948,f958,f968,f976,f997,f1007,f1017,f1023,f1033,f1042,f1047,f1057,f1061])).
% 0.20/0.43  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.44  % Elapsed time: 0.072227 seconds
% 0.20/0.44  % CPU time: 0.387999 seconds
% 0.20/0.44  % Total memory used: 69.884 MB
% 0.20/0.44  % Net memory used: 69.745 MB
%------------------------------------------------------------------------------