TSTP Solution File: SWC412+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWC412+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 12:40:22 EDT 2023

% Result   : Theorem 0.15s 0.46s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : SWC412+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n013.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue May 30 11:16:35 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.15/0.46  % Refutation found
% 0.15/0.46  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.46  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.46  fof(f96,conjecture,(
% 0.15/0.46    (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( ( (? [Y] :( ssItem(Y)& (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& app(app(cons(Y,nil),cons(Z,nil)),X1) = X ) )) )))| (! [X2] :( ssItem(X2)=> (! [X3] :( ssItem(X3)=> (! [X4] :( ssList(X4)=> app(app(cons(X2,nil),cons(X3,nil)),X4) != V ) )) )) ))& ( (? [X5] :( ssItem(X5)& (? [X6] :( ssItem(X6)& (? [X7] :( ssList(X7)& app(app(cons(X6,nil),X7),cons(X5,nil)) != W& app(app(cons(X5,nil),X7),cons(X6,nil)) = X ) )) )))| (! [X8] :( ssItem(X8)=> (! [X9] :( ssItem(X9)=> (! [X10] :( ssList(X10)=> app(app(cons(X8,nil),cons(X9,nil)),X10) != V ) )) )))| (! [X11] :( ssItem(X11)=> (! [X12] :( ssItem(X12)=> (! [X13] :( ~ ssList(X13)| app(app(cons(X11,nil),X13),cons(X12,nil)) != V| app(app(cons(X12,nil),X13),cons(X11,nil)) = U ) )) )) )) ) ) )) )) )) )),
% 0.15/0.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.46  fof(f97,negated_conjecture,(
% 0.15/0.46    ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( ( (? [Y] :( ssItem(Y)& (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& app(app(cons(Y,nil),cons(Z,nil)),X1) = X ) )) )))| (! [X2] :( ssItem(X2)=> (! [X3] :( ssItem(X3)=> (! [X4] :( ssList(X4)=> app(app(cons(X2,nil),cons(X3,nil)),X4) != V ) )) )) ))& ( (? [X5] :( ssItem(X5)& (? [X6] :( ssItem(X6)& (? [X7] :( ssList(X7)& app(app(cons(X6,nil),X7),cons(X5,nil)) != W& app(app(cons(X5,nil),X7),cons(X6,nil)) = X ) )) )))| (! [X8] :( ssItem(X8)=> (! [X9] :( ssItem(X9)=> (! [X10] :( ssList(X10)=> app(app(cons(X8,nil),cons(X9,nil)),X10) != V ) )) )))| (! [X11] :( ssItem(X11)=> (! [X12] :( ssItem(X12)=> (! [X13] :( ~ ssList(X13)| app(app(cons(X11,nil),X13),cons(X12,nil)) != V| app(app(cons(X12,nil),X13),cons(X11,nil)) = U ) )) )) )) ) ) )) )) )) ))),
% 0.15/0.46    inference(negated_conjecture,[status(cth)],[f96])).
% 0.15/0.46  fof(f415,plain,(
% 0.15/0.46    (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((ssList(X)&V=X)&U=W)&(((![Y]: (~ssItem(Y)|(![Z]: (~ssItem(Z)|(![X1]: (~ssList(X1)|~app(app(cons(Y,nil),cons(Z,nil)),X1)=X))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&app(app(cons(X2,nil),cons(X3,nil)),X4)=V)))))))|(((![X5]: (~ssItem(X5)|(![X6]: (~ssItem(X6)|(![X7]: ((~ssList(X7)|app(app(cons(X6,nil),X7),cons(X5,nil))=W)|~app(app(cons(X5,nil),X7),cons(X6,nil))=X))))))&(?[X8]: (ssItem(X8)&(?[X9]: (ssItem(X9)&(?[X10]: (ssList(X10)&app(app(cons(X8,nil),cons(X9,nil)),X10)=V)))))))&(?[X11]: (ssItem(X11)&(?[X12]: (ssItem(X12)&(?[X13]: ((ssList(X13)&app(app(cons(X11,nil),X13),cons(X12,nil))=V)&~app(app(cons(X12,nil),X13),cons(X11,nil))=U))))))))))))))))),
% 0.15/0.46    inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.15/0.46  fof(f416,plain,(
% 0.15/0.46    ![V,X]: (pd0_0(X,V)=>((![Y]: (~ssItem(Y)|(![Z]: (~ssItem(Z)|(![X1]: (~ssList(X1)|~app(app(cons(Y,nil),cons(Z,nil)),X1)=X))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&app(app(cons(X2,nil),cons(X3,nil)),X4)=V))))))))),
% 0.15/0.46    introduced(predicate_definition,[f415])).
% 0.15/0.46  fof(f417,plain,(
% 0.15/0.46    ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((ssList(X)&V=X)&U=W)&(pd0_0(X,V)|(((![X5]: (~ssItem(X5)|(![X6]: (~ssItem(X6)|(![X7]: ((~ssList(X7)|app(app(cons(X6,nil),X7),cons(X5,nil))=W)|~app(app(cons(X5,nil),X7),cons(X6,nil))=X))))))&(?[X8]: (ssItem(X8)&(?[X9]: (ssItem(X9)&(?[X10]: (ssList(X10)&app(app(cons(X8,nil),cons(X9,nil)),X10)=V)))))))&(?[X11]: (ssItem(X11)&(?[X12]: (ssItem(X12)&(?[X13]: ((ssList(X13)&app(app(cons(X11,nil),X13),cons(X12,nil))=V)&~app(app(cons(X12,nil),X13),cons(X11,nil))=U)))))))))))))))),
% 0.15/0.46    inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.15/0.46  fof(f418,plain,(
% 0.15/0.46    (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_48)|(((![X5]: (~ssItem(X5)|(![X6]: (~ssItem(X6)|(![X7]: ((~ssList(X7)|app(app(cons(X6,nil),X7),cons(X5,nil))=sk0_49)|~app(app(cons(X5,nil),X7),cons(X6,nil))=sk0_50))))))&(ssItem(sk0_51)&(ssItem(sk0_52)&(ssList(sk0_53)&app(app(cons(sk0_51,nil),cons(sk0_52,nil)),sk0_53)=sk0_48))))&(ssItem(sk0_54)&(ssItem(sk0_55)&((ssList(sk0_56)&app(app(cons(sk0_54,nil),sk0_56),cons(sk0_55,nil))=sk0_48)&~app(app(cons(sk0_55,nil),sk0_56),cons(sk0_54,nil))=sk0_47)))))))))),
% 0.15/0.46    inference(skolemization,[status(esa)],[f417])).
% 0.15/0.46  fof(f423,plain,(
% 0.15/0.46    sk0_48=sk0_50),
% 0.15/0.46    inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.46  fof(f424,plain,(
% 0.15/0.46    sk0_47=sk0_49),
% 0.15/0.46    inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.46  fof(f425,plain,(
% 0.15/0.46    ![X0,X1,X2]: (pd0_0(sk0_50,sk0_48)|~ssItem(X0)|~ssItem(X1)|~ssList(X2)|app(app(cons(X1,nil),X2),cons(X0,nil))=sk0_49|~app(app(cons(X0,nil),X2),cons(X1,nil))=sk0_50)),
% 0.15/0.46    inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.46  fof(f430,plain,(
% 0.15/0.46    pd0_0(sk0_50,sk0_48)|ssItem(sk0_54)),
% 0.15/0.46    inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.46  fof(f431,plain,(
% 0.15/0.46    pd0_0(sk0_50,sk0_48)|ssItem(sk0_55)),
% 0.15/0.46    inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.46  fof(f432,plain,(
% 0.15/0.46    pd0_0(sk0_50,sk0_48)|ssList(sk0_56)),
% 0.15/0.46    inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.46  fof(f433,plain,(
% 0.15/0.46    pd0_0(sk0_50,sk0_48)|app(app(cons(sk0_54,nil),sk0_56),cons(sk0_55,nil))=sk0_48),
% 0.15/0.46    inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.46  fof(f434,plain,(
% 0.15/0.46    pd0_0(sk0_50,sk0_48)|~app(app(cons(sk0_55,nil),sk0_56),cons(sk0_54,nil))=sk0_47),
% 0.15/0.46    inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.46  fof(f435,plain,(
% 0.15/0.46    ![V,X]: (~pd0_0(X,V)|((![Y]: (~ssItem(Y)|(![Z]: (~ssItem(Z)|(![X1]: (~ssList(X1)|~app(app(cons(Y,nil),cons(Z,nil)),X1)=X))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&app(app(cons(X2,nil),cons(X3,nil)),X4)=V))))))))),
% 0.15/0.46    inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.15/0.46  fof(f436,plain,(
% 0.15/0.46    ![V,X]: (~pd0_0(X,V)|((![Y]: (~ssItem(Y)|(![Z]: (~ssItem(Z)|(![X1]: (~ssList(X1)|~app(app(cons(Y,nil),cons(Z,nil)),X1)=X))))))&(ssItem(sk0_57(X,V))&(ssItem(sk0_58(X,V))&(ssList(sk0_59(X,V))&app(app(cons(sk0_57(X,V),nil),cons(sk0_58(X,V),nil)),sk0_59(X,V))=V)))))),
% 0.15/0.46    inference(skolemization,[status(esa)],[f435])).
% 0.15/0.46  fof(f437,plain,(
% 0.15/0.46    ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1)|~ssItem(X2)|~ssItem(X3)|~ssList(X4)|~app(app(cons(X2,nil),cons(X3,nil)),X4)=X0)),
% 0.15/0.46    inference(cnf_transformation,[status(esa)],[f436])).
% 0.15/0.46  fof(f438,plain,(
% 0.15/0.46    ![X0,X1]: (~pd0_0(X0,X1)|ssItem(sk0_57(X0,X1)))),
% 0.15/0.46    inference(cnf_transformation,[status(esa)],[f436])).
% 0.15/0.46  fof(f439,plain,(
% 0.15/0.46    ![X0,X1]: (~pd0_0(X0,X1)|ssItem(sk0_58(X0,X1)))),
% 0.15/0.46    inference(cnf_transformation,[status(esa)],[f436])).
% 0.15/0.46  fof(f440,plain,(
% 0.15/0.46    ![X0,X1]: (~pd0_0(X0,X1)|ssList(sk0_59(X0,X1)))),
% 0.15/0.46    inference(cnf_transformation,[status(esa)],[f436])).
% 0.15/0.46  fof(f441,plain,(
% 0.15/0.46    ![X0,X1]: (~pd0_0(X0,X1)|app(app(cons(sk0_57(X0,X1),nil),cons(sk0_58(X0,X1),nil)),sk0_59(X0,X1))=X1)),
% 0.15/0.46    inference(cnf_transformation,[status(esa)],[f436])).
% 0.15/0.46  fof(f442,plain,(
% 0.15/0.46    spl0_0 <=> pd0_0(sk0_50,sk0_48)),
% 0.15/0.46    introduced(split_symbol_definition)).
% 0.15/0.46  fof(f443,plain,(
% 0.15/0.46    pd0_0(sk0_50,sk0_48)|~spl0_0),
% 0.15/0.46    inference(component_clause,[status(thm)],[f442])).
% 0.15/0.46  fof(f445,plain,(
% 0.15/0.46    spl0_1 <=> ~ssItem(X0)|~ssItem(X1)|~ssList(X2)|app(app(cons(X1,nil),X2),cons(X0,nil))=sk0_49|~app(app(cons(X0,nil),X2),cons(X1,nil))=sk0_50),
% 0.15/0.46    introduced(split_symbol_definition)).
% 0.15/0.46  fof(f446,plain,(
% 0.15/0.46    ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|app(app(cons(X1,nil),X2),cons(X0,nil))=sk0_49|~app(app(cons(X0,nil),X2),cons(X1,nil))=sk0_50|~spl0_1)),
% 0.15/0.46    inference(component_clause,[status(thm)],[f445])).
% 0.15/0.46  fof(f448,plain,(
% 0.15/0.46    spl0_0|spl0_1),
% 0.15/0.46    inference(split_clause,[status(thm)],[f425,f442,f445])).
% 0.15/0.46  fof(f465,plain,(
% 0.15/0.46    spl0_6 <=> ssItem(sk0_54)),
% 0.15/0.46    introduced(split_symbol_definition)).
% 0.15/0.46  fof(f468,plain,(
% 0.15/0.46    spl0_0|spl0_6),
% 0.15/0.46    inference(split_clause,[status(thm)],[f430,f442,f465])).
% 0.15/0.46  fof(f469,plain,(
% 0.15/0.46    spl0_7 <=> ssItem(sk0_55)),
% 0.15/0.46    introduced(split_symbol_definition)).
% 0.15/0.46  fof(f472,plain,(
% 0.15/0.46    spl0_0|spl0_7),
% 0.15/0.46    inference(split_clause,[status(thm)],[f431,f442,f469])).
% 0.15/0.46  fof(f473,plain,(
% 0.15/0.46    spl0_8 <=> ssList(sk0_56)),
% 0.15/0.46    introduced(split_symbol_definition)).
% 0.15/0.46  fof(f476,plain,(
% 0.15/0.46    spl0_0|spl0_8),
% 0.15/0.46    inference(split_clause,[status(thm)],[f432,f442,f473])).
% 0.15/0.46  fof(f477,plain,(
% 0.15/0.46    spl0_9 <=> app(app(cons(sk0_54,nil),sk0_56),cons(sk0_55,nil))=sk0_48),
% 0.15/0.46    introduced(split_symbol_definition)).
% 0.15/0.46  fof(f478,plain,(
% 0.15/0.46    app(app(cons(sk0_54,nil),sk0_56),cons(sk0_55,nil))=sk0_48|~spl0_9),
% 0.15/0.46    inference(component_clause,[status(thm)],[f477])).
% 0.15/0.46  fof(f480,plain,(
% 0.15/0.46    spl0_0|spl0_9),
% 0.15/0.46    inference(split_clause,[status(thm)],[f433,f442,f477])).
% 0.15/0.46  fof(f481,plain,(
% 0.15/0.46    spl0_10 <=> app(app(cons(sk0_55,nil),sk0_56),cons(sk0_54,nil))=sk0_47),
% 0.15/0.46    introduced(split_symbol_definition)).
% 0.15/0.46  fof(f484,plain,(
% 0.15/0.46    spl0_0|~spl0_10),
% 0.15/0.46    inference(split_clause,[status(thm)],[f434,f442,f481])).
% 0.15/0.46  fof(f515,plain,(
% 0.15/0.46    ![X0,X1,X2,X3]: (~pd0_0(app(app(cons(X0,nil),cons(X1,nil)),X2),X3)|~ssItem(X0)|~ssItem(X1)|~ssList(X2))),
% 0.15/0.46    inference(destructive_equality_resolution,[status(esa)],[f437])).
% 0.15/0.46  fof(f518,plain,(
% 0.15/0.46    pd0_0(sk0_48,sk0_48)|~spl0_0),
% 0.15/0.46    inference(forward_demodulation,[status(thm)],[f423,f443])).
% 0.15/0.46  fof(f519,plain,(
% 0.15/0.46    ssItem(sk0_57(sk0_48,sk0_48))|~spl0_0),
% 0.15/0.46    inference(resolution,[status(thm)],[f438,f518])).
% 0.15/0.46  fof(f520,plain,(
% 0.15/0.46    ssItem(sk0_58(sk0_48,sk0_48))|~spl0_0),
% 0.15/0.46    inference(resolution,[status(thm)],[f439,f518])).
% 0.15/0.46  fof(f521,plain,(
% 0.15/0.46    ssList(sk0_59(sk0_48,sk0_48))|~spl0_0),
% 0.15/0.46    inference(resolution,[status(thm)],[f440,f518])).
% 0.15/0.46  fof(f522,plain,(
% 0.15/0.46    app(app(cons(sk0_57(sk0_48,sk0_48),nil),cons(sk0_58(sk0_48,sk0_48),nil)),sk0_59(sk0_48,sk0_48))=sk0_48|~spl0_0),
% 0.15/0.46    inference(resolution,[status(thm)],[f441,f518])).
% 0.15/0.46  fof(f523,plain,(
% 0.15/0.46    spl0_11 <=> ~pd0_0(sk0_48,X0)),
% 0.15/0.46    introduced(split_symbol_definition)).
% 0.15/0.46  fof(f524,plain,(
% 0.15/0.46    ![X0]: (~pd0_0(sk0_48,X0)|~spl0_11)),
% 0.15/0.46    inference(component_clause,[status(thm)],[f523])).
% 0.15/0.46  fof(f526,plain,(
% 0.15/0.46    spl0_12 <=> ssItem(sk0_57(sk0_48,sk0_48))),
% 0.15/0.46    introduced(split_symbol_definition)).
% 0.15/0.46  fof(f528,plain,(
% 0.15/0.46    ~ssItem(sk0_57(sk0_48,sk0_48))|spl0_12),
% 0.15/0.46    inference(component_clause,[status(thm)],[f526])).
% 0.15/0.46  fof(f529,plain,(
% 0.15/0.46    spl0_13 <=> ssItem(sk0_58(sk0_48,sk0_48))),
% 0.15/0.46    introduced(split_symbol_definition)).
% 0.15/0.46  fof(f531,plain,(
% 0.15/0.46    ~ssItem(sk0_58(sk0_48,sk0_48))|spl0_13),
% 0.15/0.46    inference(component_clause,[status(thm)],[f529])).
% 0.15/0.46  fof(f532,plain,(
% 0.15/0.46    spl0_14 <=> ssList(sk0_59(sk0_48,sk0_48))),
% 0.15/0.46    introduced(split_symbol_definition)).
% 0.15/0.46  fof(f534,plain,(
% 0.15/0.46    ~ssList(sk0_59(sk0_48,sk0_48))|spl0_14),
% 0.15/0.46    inference(component_clause,[status(thm)],[f532])).
% 0.15/0.46  fof(f535,plain,(
% 0.15/0.46    ![X0]: (~pd0_0(sk0_48,X0)|~ssItem(sk0_57(sk0_48,sk0_48))|~ssItem(sk0_58(sk0_48,sk0_48))|~ssList(sk0_59(sk0_48,sk0_48))|~spl0_0)),
% 0.15/0.46    inference(paramodulation,[status(thm)],[f522,f515])).
% 0.15/0.46  fof(f536,plain,(
% 0.15/0.46    spl0_11|~spl0_12|~spl0_13|~spl0_14|~spl0_0),
% 0.15/0.46    inference(split_clause,[status(thm)],[f535,f523,f526,f529,f532,f442])).
% 0.15/0.46  fof(f537,plain,(
% 0.15/0.46    $false|~spl0_0|spl0_14),
% 0.15/0.46    inference(forward_subsumption_resolution,[status(thm)],[f534,f521])).
% 0.15/0.46  fof(f538,plain,(
% 0.15/0.46    ~spl0_0|spl0_14),
% 0.15/0.46    inference(contradiction_clause,[status(thm)],[f537])).
% 0.15/0.46  fof(f539,plain,(
% 0.15/0.46    ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|app(app(cons(X1,nil),X2),cons(X0,nil))=sk0_47|~app(app(cons(X0,nil),X2),cons(X1,nil))=sk0_50|~spl0_1)),
% 0.15/0.46    inference(forward_demodulation,[status(thm)],[f424,f446])).
% 0.15/0.46  fof(f540,plain,(
% 0.15/0.46    ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|app(app(cons(X1,nil),X2),cons(X0,nil))=sk0_47|~app(app(cons(X0,nil),X2),cons(X1,nil))=sk0_48|~spl0_1)),
% 0.15/0.46    inference(forward_demodulation,[status(thm)],[f423,f539])).
% 0.15/0.46  fof(f544,plain,(
% 0.15/0.46    $false|~spl0_11|~spl0_0),
% 0.15/0.46    inference(forward_subsumption_resolution,[status(thm)],[f518,f524])).
% 0.15/0.46  fof(f545,plain,(
% 0.15/0.46    ~spl0_11|~spl0_0),
% 0.15/0.46    inference(contradiction_clause,[status(thm)],[f544])).
% 0.15/0.46  fof(f546,plain,(
% 0.15/0.46    ~ssItem(sk0_54)|~ssItem(sk0_55)|~ssList(sk0_56)|app(app(cons(sk0_55,nil),sk0_56),cons(sk0_54,nil))=sk0_47|~spl0_9|~spl0_1),
% 0.15/0.46    inference(resolution,[status(thm)],[f478,f540])).
% 0.15/0.46  fof(f547,plain,(
% 0.15/0.46    ~spl0_6|~spl0_7|~spl0_8|spl0_10|~spl0_9|~spl0_1),
% 0.15/0.46    inference(split_clause,[status(thm)],[f546,f465,f469,f473,f481,f477,f445])).
% 0.15/0.46  fof(f572,plain,(
% 0.15/0.46    $false|spl0_12|~spl0_0),
% 0.15/0.46    inference(forward_subsumption_resolution,[status(thm)],[f519,f528])).
% 0.15/0.46  fof(f573,plain,(
% 0.15/0.46    spl0_12|~spl0_0),
% 0.15/0.46    inference(contradiction_clause,[status(thm)],[f572])).
% 0.15/0.46  fof(f574,plain,(
% 0.15/0.46    $false|spl0_13|~spl0_0),
% 0.15/0.46    inference(forward_subsumption_resolution,[status(thm)],[f520,f531])).
% 0.15/0.46  fof(f575,plain,(
% 0.15/0.46    spl0_13|~spl0_0),
% 0.15/0.46    inference(contradiction_clause,[status(thm)],[f574])).
% 0.15/0.46  fof(f576,plain,(
% 0.15/0.46    $false),
% 0.15/0.46    inference(sat_refutation,[status(thm)],[f448,f468,f472,f476,f480,f484,f536,f538,f545,f547,f573,f575])).
% 0.15/0.46  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.48  % Elapsed time: 0.171984 seconds
% 0.15/0.48  % CPU time: 0.402376 seconds
% 0.15/0.48  % Memory used: 64.863 MB
%------------------------------------------------------------------------------