TSTP Solution File: SWC122+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC122+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 20:44:36 EDT 2024

% Result   : Theorem 6.22s 1.14s
% Output   : CNFRefutation 6.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC122+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34  % Computer : n007.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Tue Apr 30 00:05:02 EDT 2024
% 0.11/0.34  % CPUTime  : 
% 0.11/0.35  % Drodi V3.6.0
% 6.22/1.14  % Refutation found
% 6.22/1.14  % SZS status Theorem for theBenchmark: Theorem is valid
% 6.22/1.14  % SZS output start CNFRefutation for theBenchmark
% 6.22/1.14  fof(f1,axiom,(
% 6.22/1.14    (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 6.22/1.14    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.22/1.14  fof(f2,axiom,(
% 6.22/1.14    (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 6.22/1.14    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.22/1.14  fof(f6,axiom,(
% 6.22/1.14    (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( rearsegP(U,V)<=> (? [W] :( ssList(W)& app(W,V) = U ) )) ) )) )),
% 6.22/1.14    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.22/1.14  fof(f7,axiom,(
% 6.22/1.14    (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 6.22/1.14    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.22/1.14  fof(f16,axiom,(
% 6.22/1.14    (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 6.22/1.14    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.22/1.14  fof(f17,axiom,(
% 6.22/1.14    ssList(nil) ),
% 6.22/1.14    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.22/1.14  fof(f28,axiom,(
% 6.22/1.14    (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 6.22/1.14    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.22/1.14  fof(f49,axiom,(
% 6.22/1.14    (! [U] :( ssList(U)=> rearsegP(U,U) ) )),
% 6.22/1.14    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.22/1.14  fof(f84,axiom,(
% 6.22/1.14    (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 6.22/1.14    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.22/1.14  fof(f96,conjecture,(
% 6.22/1.14    (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| ( nil != W& nil = X )| ( neq(U,nil)& segmentP(V,U) )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) )),
% 6.22/1.14    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.22/1.14  fof(f97,negated_conjecture,(
% 6.22/1.14    ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| ( nil != W& nil = X )| ( neq(U,nil)& segmentP(V,U) )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) ))),
% 6.22/1.14    inference(negated_conjecture,[status(cth)],[f96])).
% 6.22/1.14  fof(f98,plain,(
% 6.22/1.14    ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 6.22/1.14    inference(pre_NNF_transformation,[status(esa)],[f1])).
% 6.22/1.14  fof(f99,plain,(
% 6.22/1.14    ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 6.22/1.14    inference(NNF_transformation,[status(esa)],[f98])).
% 6.22/1.14  fof(f100,plain,(
% 6.22/1.14    ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f99])).
% 6.22/1.14  fof(f102,plain,(
% 6.22/1.14    (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 6.22/1.14    inference(skolemization,[status(esa)],[f2])).
% 6.22/1.14  fof(f103,plain,(
% 6.22/1.14    ssItem(sk0_0)),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f102])).
% 6.22/1.14  fof(f104,plain,(
% 6.22/1.14    ssItem(sk0_1)),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f102])).
% 6.22/1.14  fof(f105,plain,(
% 6.22/1.14    ~sk0_0=sk0_1),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f102])).
% 6.22/1.14  fof(f125,plain,(
% 6.22/1.14    ![U]: (~ssList(U)|(![V]: (~ssList(V)|(rearsegP(U,V)<=>(?[W]: (ssList(W)&app(W,V)=U))))))),
% 6.22/1.14    inference(pre_NNF_transformation,[status(esa)],[f6])).
% 6.22/1.14  fof(f126,plain,(
% 6.22/1.14    ![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)))))))),
% 6.22/1.14    inference(NNF_transformation,[status(esa)],[f125])).
% 6.22/1.14  fof(f127,plain,(
% 6.22/1.14    ![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)))))))),
% 6.22/1.14    inference(skolemization,[status(esa)],[f126])).
% 6.22/1.14  fof(f128,plain,(
% 6.22/1.14    ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|ssList(sk0_6(X1,X0)))),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f127])).
% 6.22/1.14  fof(f129,plain,(
% 6.22/1.14    ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|app(sk0_6(X1,X0),X1)=X0)),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f127])).
% 6.22/1.14  fof(f131,plain,(
% 6.22/1.14    ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 6.22/1.14    inference(pre_NNF_transformation,[status(esa)],[f7])).
% 6.22/1.14  fof(f132,plain,(
% 6.22/1.14    ![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)))))))))),
% 6.22/1.14    inference(NNF_transformation,[status(esa)],[f131])).
% 6.22/1.14  fof(f133,plain,(
% 6.22/1.14    ![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)))))))))),
% 6.22/1.14    inference(skolemization,[status(esa)],[f132])).
% 6.22/1.14  fof(f137,plain,(
% 6.22/1.14    ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f133])).
% 6.22/1.14  fof(f221,plain,(
% 6.22/1.14    ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 6.22/1.14    inference(pre_NNF_transformation,[status(esa)],[f16])).
% 6.22/1.14  fof(f222,plain,(
% 6.22/1.14    ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f221])).
% 6.22/1.14  fof(f223,plain,(
% 6.22/1.14    ssList(nil)),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f17])).
% 6.22/1.14  fof(f248,plain,(
% 6.22/1.14    ![U]: (~ssList(U)|app(nil,U)=U)),
% 6.22/1.14    inference(pre_NNF_transformation,[status(esa)],[f28])).
% 6.22/1.14  fof(f249,plain,(
% 6.22/1.14    ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f248])).
% 6.22/1.14  fof(f304,plain,(
% 6.22/1.14    ![U]: (~ssList(U)|rearsegP(U,U))),
% 6.22/1.14    inference(pre_NNF_transformation,[status(esa)],[f49])).
% 6.22/1.14  fof(f305,plain,(
% 6.22/1.14    ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f304])).
% 6.22/1.14  fof(f388,plain,(
% 6.22/1.14    ![U]: (~ssList(U)|app(U,nil)=U)),
% 6.22/1.14    inference(pre_NNF_transformation,[status(esa)],[f84])).
% 6.22/1.14  fof(f389,plain,(
% 6.22/1.14    ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f388])).
% 6.22/1.14  fof(f415,plain,(
% 6.22/1.14    (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&neq(V,nil))&(nil=W|~nil=X))&(~neq(U,nil)|~segmentP(V,U)))&(~neq(X,nil)|(neq(W,nil)&rearsegP(X,W))))))))))))),
% 6.22/1.14    inference(pre_NNF_transformation,[status(esa)],[f97])).
% 6.22/1.14  fof(f416,plain,(
% 6.22/1.14    (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&(((((sk0_48=sk0_50&sk0_47=sk0_49)&neq(sk0_48,nil))&(nil=sk0_49|~nil=sk0_50))&(~neq(sk0_47,nil)|~segmentP(sk0_48,sk0_47)))&(~neq(sk0_50,nil)|(neq(sk0_49,nil)&rearsegP(sk0_50,sk0_49))))))))),
% 6.22/1.14    inference(skolemization,[status(esa)],[f415])).
% 6.22/1.14  fof(f417,plain,(
% 6.22/1.14    ssList(sk0_47)),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f416])).
% 6.22/1.14  fof(f418,plain,(
% 6.22/1.14    ssList(sk0_48)),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f416])).
% 6.22/1.14  fof(f421,plain,(
% 6.22/1.14    sk0_48=sk0_50),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f416])).
% 6.22/1.14  fof(f422,plain,(
% 6.22/1.14    sk0_47=sk0_49),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f416])).
% 6.22/1.14  fof(f423,plain,(
% 6.22/1.14    neq(sk0_48,nil)),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f416])).
% 6.22/1.14  fof(f425,plain,(
% 6.22/1.14    ~neq(sk0_47,nil)|~segmentP(sk0_48,sk0_47)),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f416])).
% 6.22/1.14  fof(f426,plain,(
% 6.22/1.14    ~neq(sk0_50,nil)|neq(sk0_49,nil)),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f416])).
% 6.22/1.14  fof(f427,plain,(
% 6.22/1.14    ~neq(sk0_50,nil)|rearsegP(sk0_50,sk0_49)),
% 6.22/1.14    inference(cnf_transformation,[status(esa)],[f416])).
% 6.22/1.14  fof(f435,plain,(
% 6.22/1.14    spl0_2 <=> neq(sk0_47,nil)),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f437,plain,(
% 6.22/1.14    ~neq(sk0_47,nil)|spl0_2),
% 6.22/1.14    inference(component_clause,[status(thm)],[f435])).
% 6.22/1.14  fof(f438,plain,(
% 6.22/1.14    spl0_3 <=> segmentP(sk0_48,sk0_47)),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f440,plain,(
% 6.22/1.14    ~segmentP(sk0_48,sk0_47)|spl0_3),
% 6.22/1.14    inference(component_clause,[status(thm)],[f438])).
% 6.22/1.14  fof(f441,plain,(
% 6.22/1.14    ~spl0_2|~spl0_3),
% 6.22/1.14    inference(split_clause,[status(thm)],[f425,f435,f438])).
% 6.22/1.14  fof(f442,plain,(
% 6.22/1.14    spl0_4 <=> neq(sk0_50,nil)),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f444,plain,(
% 6.22/1.14    ~neq(sk0_50,nil)|spl0_4),
% 6.22/1.14    inference(component_clause,[status(thm)],[f442])).
% 6.22/1.14  fof(f445,plain,(
% 6.22/1.14    spl0_5 <=> neq(sk0_49,nil)),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f446,plain,(
% 6.22/1.14    neq(sk0_49,nil)|~spl0_5),
% 6.22/1.14    inference(component_clause,[status(thm)],[f445])).
% 6.22/1.14  fof(f448,plain,(
% 6.22/1.14    ~spl0_4|spl0_5),
% 6.22/1.14    inference(split_clause,[status(thm)],[f426,f442,f445])).
% 6.22/1.14  fof(f449,plain,(
% 6.22/1.14    spl0_6 <=> rearsegP(sk0_50,sk0_49)),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f450,plain,(
% 6.22/1.14    rearsegP(sk0_50,sk0_49)|~spl0_6),
% 6.22/1.14    inference(component_clause,[status(thm)],[f449])).
% 6.22/1.14  fof(f452,plain,(
% 6.22/1.14    ~spl0_4|spl0_6),
% 6.22/1.14    inference(split_clause,[status(thm)],[f427,f442,f449])).
% 6.22/1.14  fof(f453,plain,(
% 6.22/1.14    ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 6.22/1.14    inference(destructive_equality_resolution,[status(esa)],[f100])).
% 6.22/1.14  fof(f454,plain,(
% 6.22/1.14    ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 6.22/1.14    inference(duplicate_literals_removal,[status(esa)],[f453])).
% 6.22/1.14  fof(f459,plain,(
% 6.22/1.14    ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 6.22/1.14    inference(destructive_equality_resolution,[status(esa)],[f137])).
% 6.22/1.14  fof(f484,plain,(
% 6.22/1.14    ~neq(sk0_48,nil)|spl0_4),
% 6.22/1.14    inference(forward_demodulation,[status(thm)],[f421,f444])).
% 6.22/1.14  fof(f485,plain,(
% 6.22/1.14    $false|spl0_4),
% 6.22/1.14    inference(forward_subsumption_resolution,[status(thm)],[f484,f423])).
% 6.22/1.14  fof(f486,plain,(
% 6.22/1.14    spl0_4),
% 6.22/1.14    inference(contradiction_clause,[status(thm)],[f485])).
% 6.22/1.14  fof(f491,plain,(
% 6.22/1.14    neq(sk0_47,nil)|~spl0_5),
% 6.22/1.14    inference(forward_demodulation,[status(thm)],[f422,f446])).
% 6.22/1.14  fof(f492,plain,(
% 6.22/1.14    $false|spl0_2|~spl0_5),
% 6.22/1.14    inference(forward_subsumption_resolution,[status(thm)],[f491,f437])).
% 6.22/1.14  fof(f493,plain,(
% 6.22/1.14    spl0_2|~spl0_5),
% 6.22/1.14    inference(contradiction_clause,[status(thm)],[f492])).
% 6.22/1.14  fof(f494,plain,(
% 6.22/1.14    rearsegP(sk0_48,sk0_49)|~spl0_6),
% 6.22/1.14    inference(forward_demodulation,[status(thm)],[f421,f450])).
% 6.22/1.14  fof(f495,plain,(
% 6.22/1.14    rearsegP(sk0_48,sk0_47)|~spl0_6),
% 6.22/1.14    inference(forward_demodulation,[status(thm)],[f422,f494])).
% 6.22/1.14  fof(f498,plain,(
% 6.22/1.14    rearsegP(sk0_48,sk0_48)),
% 6.22/1.14    inference(resolution,[status(thm)],[f305,f418])).
% 6.22/1.14  fof(f499,plain,(
% 6.22/1.14    rearsegP(sk0_47,sk0_47)),
% 6.22/1.14    inference(resolution,[status(thm)],[f305,f417])).
% 6.22/1.14  fof(f503,plain,(
% 6.22/1.14    spl0_7 <=> ssList(nil)),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f505,plain,(
% 6.22/1.14    ~ssList(nil)|spl0_7),
% 6.22/1.14    inference(component_clause,[status(thm)],[f503])).
% 6.22/1.14  fof(f511,plain,(
% 6.22/1.14    $false|spl0_7),
% 6.22/1.14    inference(forward_subsumption_resolution,[status(thm)],[f505,f223])).
% 6.22/1.14  fof(f512,plain,(
% 6.22/1.14    spl0_7),
% 6.22/1.14    inference(contradiction_clause,[status(thm)],[f511])).
% 6.22/1.14  fof(f613,plain,(
% 6.22/1.14    spl0_20 <=> ssList(sk0_48)),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f615,plain,(
% 6.22/1.14    ~ssList(sk0_48)|spl0_20),
% 6.22/1.14    inference(component_clause,[status(thm)],[f613])).
% 6.22/1.14  fof(f616,plain,(
% 6.22/1.14    spl0_21 <=> ssList(sk0_47)),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f618,plain,(
% 6.22/1.14    ~ssList(sk0_47)|spl0_21),
% 6.22/1.14    inference(component_clause,[status(thm)],[f616])).
% 6.22/1.14  fof(f684,plain,(
% 6.22/1.14    $false|spl0_21),
% 6.22/1.14    inference(forward_subsumption_resolution,[status(thm)],[f618,f417])).
% 6.22/1.14  fof(f685,plain,(
% 6.22/1.14    spl0_21),
% 6.22/1.14    inference(contradiction_clause,[status(thm)],[f684])).
% 6.22/1.14  fof(f686,plain,(
% 6.22/1.14    $false|spl0_20),
% 6.22/1.14    inference(forward_subsumption_resolution,[status(thm)],[f615,f418])).
% 6.22/1.14  fof(f687,plain,(
% 6.22/1.14    spl0_20),
% 6.22/1.14    inference(contradiction_clause,[status(thm)],[f686])).
% 6.22/1.14  fof(f840,plain,(
% 6.22/1.14    spl0_55 <=> rearsegP(sk0_48,app(nil,sk0_48))),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f842,plain,(
% 6.22/1.14    ~rearsegP(sk0_48,app(nil,sk0_48))|spl0_55),
% 6.22/1.14    inference(component_clause,[status(thm)],[f840])).
% 6.22/1.14  fof(f1179,plain,(
% 6.22/1.14    spl0_117 <=> rearsegP(sk0_47,app(nil,sk0_47))),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f1181,plain,(
% 6.22/1.14    ~rearsegP(sk0_47,app(nil,sk0_47))|spl0_117),
% 6.22/1.14    inference(component_clause,[status(thm)],[f1179])).
% 6.22/1.14  fof(f1232,plain,(
% 6.22/1.14    spl0_127 <=> sk0_0=sk0_1),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f1233,plain,(
% 6.22/1.14    sk0_0=sk0_1|~spl0_127),
% 6.22/1.14    inference(component_clause,[status(thm)],[f1232])).
% 6.22/1.14  fof(f1237,plain,(
% 6.22/1.14    spl0_128 <=> neq(sk0_0,sk0_0)),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f1238,plain,(
% 6.22/1.14    neq(sk0_0,sk0_0)|~spl0_128),
% 6.22/1.14    inference(component_clause,[status(thm)],[f1237])).
% 6.22/1.14  fof(f1246,plain,(
% 6.22/1.14    ~ssItem(sk0_0)|~spl0_128),
% 6.22/1.14    inference(resolution,[status(thm)],[f1238,f454])).
% 6.22/1.14  fof(f1247,plain,(
% 6.22/1.14    $false|~spl0_128),
% 6.22/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1246,f103])).
% 6.22/1.14  fof(f1248,plain,(
% 6.22/1.14    ~spl0_128),
% 6.22/1.14    inference(contradiction_clause,[status(thm)],[f1247])).
% 6.22/1.14  fof(f1249,plain,(
% 6.22/1.14    spl0_130 <=> neq(sk0_1,sk0_1)),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f1250,plain,(
% 6.22/1.14    neq(sk0_1,sk0_1)|~spl0_130),
% 6.22/1.14    inference(component_clause,[status(thm)],[f1249])).
% 6.22/1.14  fof(f1262,plain,(
% 6.22/1.14    $false|~spl0_127),
% 6.22/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1233,f105])).
% 6.22/1.14  fof(f1263,plain,(
% 6.22/1.14    ~spl0_127),
% 6.22/1.14    inference(contradiction_clause,[status(thm)],[f1262])).
% 6.22/1.14  fof(f1265,plain,(
% 6.22/1.14    ~ssItem(sk0_1)|~spl0_130),
% 6.22/1.14    inference(resolution,[status(thm)],[f1250,f454])).
% 6.22/1.14  fof(f1266,plain,(
% 6.22/1.14    $false|~spl0_130),
% 6.22/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1265,f104])).
% 6.22/1.14  fof(f1267,plain,(
% 6.22/1.14    ~spl0_130),
% 6.22/1.14    inference(contradiction_clause,[status(thm)],[f1266])).
% 6.22/1.14  fof(f1270,plain,(
% 6.22/1.14    ![X0]: (~ssItem(X0)|ssList(cons(X0,nil)))),
% 6.22/1.14    inference(resolution,[status(thm)],[f222,f223])).
% 6.22/1.14  fof(f1289,plain,(
% 6.22/1.14    spl0_136 <=> app(sk0_6(sk0_47,sk0_48),sk0_47)=sk0_48),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f1290,plain,(
% 6.22/1.14    app(sk0_6(sk0_47,sk0_48),sk0_47)=sk0_48|~spl0_136),
% 6.22/1.14    inference(component_clause,[status(thm)],[f1289])).
% 6.22/1.14  fof(f1292,plain,(
% 6.22/1.14    ~ssList(sk0_48)|~ssList(sk0_47)|app(sk0_6(sk0_47,sk0_48),sk0_47)=sk0_48|~spl0_6),
% 6.22/1.14    inference(resolution,[status(thm)],[f129,f495])).
% 6.22/1.14  fof(f1293,plain,(
% 6.22/1.14    ~spl0_20|~spl0_21|spl0_136|~spl0_6),
% 6.22/1.14    inference(split_clause,[status(thm)],[f1292,f613,f616,f1289,f449])).
% 6.22/1.14  fof(f1349,plain,(
% 6.22/1.14    spl0_148 <=> ssItem(sk0_1)),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f1351,plain,(
% 6.22/1.14    ~ssItem(sk0_1)|spl0_148),
% 6.22/1.14    inference(component_clause,[status(thm)],[f1349])).
% 6.22/1.14  fof(f1357,plain,(
% 6.22/1.14    $false|spl0_148),
% 6.22/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1351,f104])).
% 6.22/1.14  fof(f1358,plain,(
% 6.22/1.14    spl0_148),
% 6.22/1.14    inference(contradiction_clause,[status(thm)],[f1357])).
% 6.22/1.14  fof(f1359,plain,(
% 6.22/1.14    spl0_150 <=> ssItem(sk0_0)),
% 6.22/1.14    introduced(split_symbol_definition)).
% 6.22/1.14  fof(f1361,plain,(
% 6.22/1.14    ~ssItem(sk0_0)|spl0_150),
% 6.22/1.14    inference(component_clause,[status(thm)],[f1359])).
% 6.22/1.14  fof(f1367,plain,(
% 6.22/1.14    $false|spl0_150),
% 6.22/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1361,f103])).
% 6.22/1.14  fof(f1368,plain,(
% 6.22/1.14    spl0_150),
% 6.22/1.14    inference(contradiction_clause,[status(thm)],[f1367])).
% 6.22/1.14  fof(f1407,plain,(
% 6.22/1.14    app(nil,sk0_47)=sk0_47),
% 6.22/1.14    inference(resolution,[status(thm)],[f249,f417])).
% 6.22/1.15  fof(f1408,plain,(
% 6.22/1.15    app(nil,sk0_48)=sk0_48),
% 6.22/1.15    inference(resolution,[status(thm)],[f249,f418])).
% 6.22/1.15  fof(f1419,plain,(
% 6.22/1.15    ~rearsegP(sk0_48,sk0_48)|spl0_55),
% 6.22/1.15    inference(forward_demodulation,[status(thm)],[f1408,f842])).
% 6.22/1.15  fof(f1420,plain,(
% 6.22/1.15    $false|spl0_55),
% 6.22/1.15    inference(forward_subsumption_resolution,[status(thm)],[f1419,f498])).
% 6.22/1.15  fof(f1421,plain,(
% 6.22/1.15    spl0_55),
% 6.22/1.15    inference(contradiction_clause,[status(thm)],[f1420])).
% 6.22/1.15  fof(f1422,plain,(
% 6.22/1.15    ~rearsegP(sk0_47,sk0_47)|spl0_117),
% 6.22/1.15    inference(forward_demodulation,[status(thm)],[f1407,f1181])).
% 6.22/1.15  fof(f1423,plain,(
% 6.22/1.15    $false|spl0_117),
% 6.22/1.15    inference(forward_subsumption_resolution,[status(thm)],[f1422,f499])).
% 6.22/1.15  fof(f1424,plain,(
% 6.22/1.15    spl0_117),
% 6.22/1.15    inference(contradiction_clause,[status(thm)],[f1423])).
% 6.22/1.15  fof(f1460,plain,(
% 6.22/1.15    app(sk0_48,nil)=sk0_48),
% 6.22/1.15    inference(resolution,[status(thm)],[f389,f418])).
% 6.22/1.15  fof(f1551,plain,(
% 6.22/1.15    spl0_177 <=> ssList(sk0_6(sk0_47,sk0_48))),
% 6.22/1.15    introduced(split_symbol_definition)).
% 6.22/1.15  fof(f1554,plain,(
% 6.22/1.15    ~ssList(sk0_48)|~ssList(sk0_47)|ssList(sk0_6(sk0_47,sk0_48))|~spl0_6),
% 6.22/1.15    inference(resolution,[status(thm)],[f128,f495])).
% 6.22/1.15  fof(f1555,plain,(
% 6.22/1.15    ~spl0_20|~spl0_21|spl0_177|~spl0_6),
% 6.22/1.15    inference(split_clause,[status(thm)],[f1554,f613,f616,f1551,f449])).
% 6.22/1.15  fof(f2423,plain,(
% 6.22/1.15    spl0_288 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_6(sk0_47,sk0_48),sk0_47),X0),sk0_47)|~ssList(X0)),
% 6.22/1.15    introduced(split_symbol_definition)).
% 6.22/1.15  fof(f2424,plain,(
% 6.22/1.15    ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_6(sk0_47,sk0_48),sk0_47),X0),sk0_47)|~ssList(X0)|~spl0_288)),
% 6.22/1.15    inference(component_clause,[status(thm)],[f2423])).
% 6.22/1.15  fof(f2426,plain,(
% 6.22/1.15    ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_47)|segmentP(app(app(sk0_6(sk0_47,sk0_48),sk0_47),X0),sk0_47)|~ssList(sk0_6(sk0_47,sk0_48))|~ssList(X0)|~spl0_136)),
% 6.22/1.15    inference(paramodulation,[status(thm)],[f1290,f459])).
% 6.22/1.15  fof(f2427,plain,(
% 6.22/1.15    spl0_288|~spl0_21|~spl0_177|~spl0_136),
% 6.22/1.15    inference(split_clause,[status(thm)],[f2426,f2423,f616,f1551,f1289])).
% 6.22/1.15  fof(f2428,plain,(
% 6.22/1.15    ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_47)|~ssList(X0)|~spl0_136|~spl0_288)),
% 6.22/1.16    inference(forward_demodulation,[status(thm)],[f1290,f2424])).
% 6.22/1.16  fof(f3846,plain,(
% 6.22/1.16    ssList(cons(sk0_1,nil))),
% 6.22/1.16    inference(resolution,[status(thm)],[f1270,f104])).
% 6.22/1.16  fof(f3847,plain,(
% 6.22/1.16    ssList(cons(sk0_0,nil))),
% 6.22/1.16    inference(resolution,[status(thm)],[f1270,f103])).
% 6.22/1.16  fof(f3881,plain,(
% 6.22/1.16    spl0_448 <=> ssList(cons(sk0_1,nil))),
% 6.22/1.16    introduced(split_symbol_definition)).
% 6.22/1.16  fof(f3883,plain,(
% 6.22/1.16    ~ssList(cons(sk0_1,nil))|spl0_448),
% 6.22/1.16    inference(component_clause,[status(thm)],[f3881])).
% 6.22/1.16  fof(f3894,plain,(
% 6.22/1.16    $false|spl0_448),
% 6.22/1.16    inference(forward_subsumption_resolution,[status(thm)],[f3883,f3846])).
% 6.22/1.16  fof(f3895,plain,(
% 6.22/1.16    spl0_448),
% 6.22/1.16    inference(contradiction_clause,[status(thm)],[f3894])).
% 6.22/1.16  fof(f3896,plain,(
% 6.22/1.16    spl0_451 <=> ssList(cons(sk0_0,nil))),
% 6.22/1.16    introduced(split_symbol_definition)).
% 6.22/1.16  fof(f3898,plain,(
% 6.22/1.16    ~ssList(cons(sk0_0,nil))|spl0_451),
% 6.22/1.16    inference(component_clause,[status(thm)],[f3896])).
% 6.22/1.16  fof(f3909,plain,(
% 6.22/1.16    $false|spl0_451),
% 6.22/1.16    inference(forward_subsumption_resolution,[status(thm)],[f3898,f3847])).
% 6.22/1.16  fof(f3910,plain,(
% 6.22/1.16    spl0_451),
% 6.22/1.16    inference(contradiction_clause,[status(thm)],[f3909])).
% 6.22/1.16  fof(f8382,plain,(
% 6.22/1.16    spl0_1215 <=> segmentP(app(sk0_48,nil),sk0_47)),
% 6.22/1.16    introduced(split_symbol_definition)).
% 6.22/1.16  fof(f8383,plain,(
% 6.22/1.16    segmentP(app(sk0_48,nil),sk0_47)|~spl0_1215),
% 6.22/1.16    inference(component_clause,[status(thm)],[f8382])).
% 6.22/1.16  fof(f8385,plain,(
% 6.22/1.16    ~ssList(sk0_48)|segmentP(app(sk0_48,nil),sk0_47)|~ssList(nil)|~spl0_136|~spl0_288),
% 6.22/1.16    inference(paramodulation,[status(thm)],[f1460,f2428])).
% 6.22/1.16  fof(f8386,plain,(
% 6.22/1.16    ~spl0_20|spl0_1215|~spl0_7|~spl0_136|~spl0_288),
% 6.22/1.16    inference(split_clause,[status(thm)],[f8385,f613,f8382,f503,f1289,f2423])).
% 6.22/1.16  fof(f8387,plain,(
% 6.22/1.16    segmentP(sk0_48,sk0_47)|~spl0_1215),
% 6.22/1.16    inference(forward_demodulation,[status(thm)],[f1460,f8383])).
% 6.22/1.16  fof(f8388,plain,(
% 6.22/1.16    $false|spl0_3|~spl0_1215),
% 6.22/1.16    inference(forward_subsumption_resolution,[status(thm)],[f8387,f440])).
% 6.22/1.16  fof(f8389,plain,(
% 6.22/1.16    spl0_3|~spl0_1215),
% 6.22/1.16    inference(contradiction_clause,[status(thm)],[f8388])).
% 6.22/1.16  fof(f8390,plain,(
% 6.22/1.16    $false),
% 6.22/1.16    inference(sat_refutation,[status(thm)],[f441,f448,f452,f486,f493,f512,f685,f687,f1248,f1263,f1267,f1293,f1358,f1368,f1421,f1424,f1555,f2427,f3895,f3910,f8386,f8389])).
% 6.22/1.16  % SZS output end CNFRefutation for theBenchmark.p
% 6.22/1.16  % Elapsed time: 0.815337 seconds
% 6.22/1.16  % CPU time: 6.333741 seconds
% 6.22/1.16  % Total memory used: 114.378 MB
% 6.22/1.16  % Net memory used: 112.714 MB
%------------------------------------------------------------------------------