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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+8 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:14:07 PM UTC 2026

% Result   : Theorem 94.70s 12.84s
% Output   : CNFRefutation 94.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   82 (  18 unt;  11 def)
%            Number of atoms       :  511 (   0 equ)
%            Maximal formula atoms :  259 (   6 avg)
%            Number of connectives :  578 ( 149   ~; 134   |; 281   &)
%                                         (  11 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  259 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   35 (  34 usr;  12 prp; 0-3 aty)
%            Number of functors    :   68 (  68 usr;  67 con; 0-2 aty)
%            Number of variables   :  108 (  93   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f97,axiom,
    ! [X0,X1,X2] :
      ( ( subs(X0,X1)
        & chea(X2,X1) )
     => ? [X3] :
          ( subs(X3,X2)
          & chea(X3,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,axiom,
    ! [X0,X1,X2] :
      ( ( chea(X1,X0)
        & agt(X0,X2) )
     => agt(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f101,axiom,
    ! [X0,X1,X2] :
      ( ( obj(X0,X2)
        & chea(X1,X0) )
     => obj(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8535,axiom,
    chea(n374bernehmen_1_1,annahme_1_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5] :
      ( val(X1,bmw_0)
      & subs(X3,n374bernehmen_1_1)
      & sub(X1,name_1_1)
      & sub(X0,firma_1_1)
      & prop(X0,britisch__1_1)
      & obj(X3,X0)
      & attr(X4,X5)
      & attr(X2,X1)
      & agt(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5] :
        ( val(X1,bmw_0)
        & subs(X3,n374bernehmen_1_1)
        & sub(X1,name_1_1)
        & sub(X0,firma_1_1)
        & prop(X0,britisch__1_1)
        & obj(X3,X0)
        & attr(X4,X5)
        & attr(X2,X1)
        & agt(X3,X2) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(c34,varia_c)
    & refer(c34,refer_c)
    & quant(c34,quant_c)
    & gener(c34,gener_c)
    & fact(c34,real)
    & etype(c34,etype_c)
    & card(c34,card_c)
    & sort(c34,ent)
    & varia(feb_1_1,varia_c)
    & refer(feb_1_1,refer_c)
    & quant(feb_1_1,one)
    & gener(feb_1_1,ge)
    & fact(feb_1_1,real)
    & etype(feb_1_1,int0)
    & card(feb_1_1,int1)
    & sort(feb_1_1,o)
    & varia(c21,varia_c)
    & refer(c21,refer_c)
    & quant(c21,one)
    & gener(c21,gener_c)
    & fact(c21,real)
    & etype(c21,int0)
    & card(c21,int1)
    & sort(c21,o)
    & gener(hundertstel__1_1,ge)
    & sort(hundertstel__1_1,me)
    & card(c2013,int20)
    & sort(c2013,nu)
    & gener(abziehen_1_2,ge)
    & fact(abziehen_1_2,real)
    & sort(abziehen_1_2,da)
    & gener(wollen_0,gener_c)
    & fact(wollen_0,real)
    & sort(wollen_0,md)
    & varia(anteil_1_1,varia_c)
    & refer(anteil_1_1,refer_c)
    & quant(anteil_1_1,quant_c)
    & gener(anteil_1_1,ge)
    & fact(anteil_1_1,real)
    & etype(anteil_1_1,etype_c)
    & card(anteil_1_1,card_c)
    & sort(anteil_1_1,co)
    & varia(c2036,con)
    & refer(c2036,refer_c)
    & quant(c2036,quant_c)
    & gener(c2036,gener_c)
    & fact(c2036,real)
    & etype(c2036,etype_c)
    & card(c2036,card_c)
    & sort(c2036,co)
    & sort(bmw_0,fe)
    & sort(bundesdeutsch_1_1,tq)
    & varia(c2007,varia_c)
    & refer(c2007,indet)
    & quant(c2007,one)
    & gener(c2007,sp)
    & fact(c2007,real)
    & etype(c2007,int0)
    & card(c2007,int1)
    & sort(c2007,na)
    & sort(rover_0,fe)
    & varia(firma_1_1,varia_c)
    & refer(firma_1_1,refer_c)
    & quant(firma_1_1,one)
    & gener(firma_1_1,ge)
    & fact(firma_1_1,real)
    & etype(firma_1_1,int0)
    & card(firma_1_1,int1)
    & sort(firma_1_1,io)
    & sort(firma_1_1,d)
    & sort(britisch__1_1,nq)
    & varia(c1913,varia_c)
    & refer(c1913,indet)
    & quant(c1913,one)
    & gener(c1913,sp)
    & fact(c1913,real)
    & etype(c1913,int0)
    & card(c1913,int1)
    & sort(c1913,na)
    & sort(tokio_0,fe)
    & varia(stadt__1_1,varia_c)
    & refer(stadt__1_1,refer_c)
    & quant(stadt__1_1,one)
    & gener(stadt__1_1,ge)
    & fact(stadt__1_1,real)
    & etype(stadt__1_1,int0)
    & card(stadt__1_1,int1)
    & sort(stadt__1_1,io)
    & sort(stadt__1_1,d)
    & varia(c19,varia_c)
    & refer(c19,indet)
    & quant(c19,one)
    & gener(c19,sp)
    & fact(c19,real)
    & etype(c19,int0)
    & card(c19,int1)
    & sort(c19,na)
    & varia(c18,con)
    & refer(c18,det)
    & quant(c18,one)
    & gener(c18,sp)
    & fact(c18,real)
    & etype(c18,int0)
    & card(c18,int1)
    & sort(c18,io)
    & sort(c18,d)
    & varia(annahme_1_1,varia_c)
    & refer(annahme_1_1,refer_c)
    & quant(annahme_1_1,one)
    & gener(annahme_1_1,ge)
    & fact(annahme_1_1,real)
    & etype(annahme_1_1,int0)
    & card(annahme_1_1,int1)
    & sort(annahme_1_1,ad)
    & varia(c1912,con)
    & refer(c1912,det)
    & quant(c1912,one)
    & gener(c1912,sp)
    & fact(c1912,real)
    & etype(c1912,int0)
    & card(c1912,int1)
    & sort(c1912,io)
    & sort(c1912,d)
    & gener(c2016,sp)
    & fact(c2016,real)
    & sort(c2016,da)
    & varia(c2006,con)
    & refer(c2006,det)
    & quant(c2006,one)
    & gener(c2006,sp)
    & fact(c2006,real)
    & etype(c2006,int0)
    & card(c2006,int1)
    & sort(c2006,io)
    & sort(c2006,d)
    & varia(c1730,con)
    & refer(c1730,det)
    & quant(c1730,one)
    & gener(c1730,sp)
    & fact(c1730,real)
    & etype(c1730,int0)
    & card(c1730,int1)
    & sort(c1730,ad)
    & sort(honda_0,fe)
    & varia(name_1_1,varia_c)
    & refer(name_1_1,refer_c)
    & quant(name_1_1,one)
    & gener(name_1_1,ge)
    & fact(name_1_1,real)
    & etype(name_1_1,int0)
    & card(name_1_1,int1)
    & sort(name_1_1,na)
    & sort(japanisch__1_1,nq)
    & varia(c2008,varia_c)
    & refer(c2008,det)
    & quant(c2008,quant_c)
    & gener(c2008,sp)
    & fact(c2008,real)
    & etype(c2008,etype_c)
    & card(c2008,card_c)
    & sort(c2008,co)
    & varia(c1725,varia_c)
    & refer(c1725,indet)
    & quant(c1725,one)
    & gener(c1725,sp)
    & fact(c1725,real)
    & etype(c1725,int0)
    & card(c1725,int1)
    & sort(c1725,na)
    & varia(c1724,con)
    & refer(c1724,det)
    & quant(c1724,one)
    & gener(c1724,sp)
    & fact(c1724,real)
    & etype(c1724,int0)
    & card(c1724,int1)
    & sort(c1724,io)
    & sort(c1724,d)
    & varia(firmengruppe_1_1,varia_c)
    & refer(firmengruppe_1_1,refer_c)
    & quant(firmengruppe_1_1,one)
    & gener(firmengruppe_1_1,ge)
    & fact(firmengruppe_1_1,real)
    & etype(firmengruppe_1_1,int0)
    & card(firmengruppe_1_1,int1)
    & sort(firmengruppe_1_1,io)
    & sort(firmengruppe_1_1,d)
    & varia(autokonzern_1_1,varia_c)
    & refer(autokonzern_1_1,refer_c)
    & quant(autokonzern_1_1,one)
    & gener(autokonzern_1_1,ge)
    & fact(autokonzern_1_1,real)
    & etype(autokonzern_1_1,int0)
    & card(autokonzern_1_1,int1)
    & sort(autokonzern_1_1,io)
    & sort(autokonzern_1_1,d)
    & varia(fabrikant_1_1,varia_c)
    & refer(fabrikant_1_1,refer_c)
    & quant(fabrikant_1_1,one)
    & gener(fabrikant_1_1,ge)
    & fact(fabrikant_1_1,real)
    & etype(fabrikant_1_1,int0)
    & card(fabrikant_1_1,int1)
    & sort(fabrikant_1_1,io)
    & sort(fabrikant_1_1,d)
    & varia(auto__1_1,varia_c)
    & refer(auto__1_1,refer_c)
    & quant(auto__1_1,one)
    & gener(auto__1_1,ge)
    & fact(auto__1_1,real)
    & etype(auto__1_1,int0)
    & card(auto__1_1,int1)
    & sort(auto__1_1,d)
    & varia(autobauer_1_1,varia_c)
    & refer(autobauer_1_1,refer_c)
    & quant(autobauer_1_1,one)
    & gener(autobauer_1_1,ge)
    & fact(autobauer_1_1,real)
    & etype(autobauer_1_1,int0)
    & card(autobauer_1_1,int1)
    & sort(autobauer_1_1,io)
    & sort(autobauer_1_1,d)
    & tupl(c34,c18,c21)
    & sub(c21,feb_1_1)
    & quant_p3(c2036,c2013,hundertstel__1_1)
    & subs(c2016,abziehen_1_2)
    & obj(c2016,c2008)
    & modl(c2016,wollen_0)
    & agt(c2016,c1724)
    & sub(c2008,anteil_1_1)
    & attch(c2008,c2036)
    & val(c2007,bmw_0)
    & sub(c2007,name_1_1)
    & sub(c2006,autobauer_1_1)
    & prop(c2006,bundesdeutsch_1_1)
    & attr(c2006,c2007)
    & val(c1913,rover_0)
    & sub(c1913,name_1_1)
    & sub(c1912,firma_1_1)
    & prop(c1912,britisch__1_1)
    & attr(c1912,c1913)
    & val(c19,tokio_0)
    & sub(c19,name_1_1)
    & sub(c18,stadt__1_1)
    & attr(c18,c19)
    & subs(c1730,annahme_1_1)
    & obj(c1730,c1912)
    & ante(c1730,c2016)
    & agt(c1730,c2006)
    & val(c1725,honda_0)
    & sub(c1725,name_1_1)
    & sub(c1724,autokonzern_1_1)
    & prop(c1724,japanisch__1_1)
    & poss(c1724,c2008)
    & attr(c1724,c1725)
    & sub(autokonzern_1_1,firmengruppe_1_1)
    & assoc(autokonzern_1_1,auto__1_1)
    & sub(autobauer_1_1,fabrikant_1_1)
    & assoc(autobauer_1_1,auto__1_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10373,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subs(X3,X2)
          & chea(X3,X0) )
      | ~ subs(X0,X1)
      | ~ chea(X2,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f97]) ).

fof(f10374,plain,
    ! [X0,X2] :
      ( ? [X3] :
          ( subs(X3,X2)
          & chea(X3,X0) )
      | ! [X1] :
          ( ~ subs(X0,X1)
          | ~ chea(X2,X1) ) ),
    inference(miniscoping,[status(thm)],[f10373]) ).

fof(f10375,plain,
    ! [X0,X2] :
      ( ( subs(sK4_skl(X2,X0),X2)
        & chea(sK4_skl(X2,X0),X0) )
      | ! [X1] :
          ( ~ subs(X0,X1)
          | ~ chea(X2,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(X3,sK4_skl(X2,X0))],[f10374]) ).

fof(f10376,plain,
    ! [X0,X1,X2] :
      ( chea(sK4_skl(X0,X2),X2)
      | ~ subs(X2,X1)
      | ~ chea(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10375]) ).

fof(f10377,plain,
    ! [X0,X1,X2] :
      ( subs(sK4_skl(X0,X2),X0)
      | ~ subs(X2,X1)
      | ~ chea(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10375]) ).

fof(f10381,plain,
    ! [X0,X1,X2] :
      ( agt(X1,X2)
      | ~ chea(X1,X0)
      | ~ agt(X0,X2) ),
    inference(pre_NNF_transformation,[status(thm)],[f99]) ).

fof(f10382,plain,
    ! [X1,X2] :
      ( agt(X1,X2)
      | ! [X0] :
          ( ~ chea(X1,X0)
          | ~ agt(X0,X2) ) ),
    inference(miniscoping,[status(thm)],[f10381]) ).

fof(f10383,plain,
    ! [X0,X1,X2] :
      ( agt(X2,X1)
      | ~ chea(X2,X0)
      | ~ agt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10382]) ).

fof(f10387,plain,
    ! [X0,X1,X2] :
      ( obj(X1,X2)
      | ~ obj(X0,X2)
      | ~ chea(X1,X0) ),
    inference(pre_NNF_transformation,[status(thm)],[f101]) ).

fof(f10388,plain,
    ! [X1,X2] :
      ( obj(X1,X2)
      | ! [X0] :
          ( ~ obj(X0,X2)
          | ~ chea(X1,X0) ) ),
    inference(miniscoping,[status(thm)],[f10387]) ).

fof(f10389,plain,
    ! [X0,X1,X2] :
      ( obj(X0,X2)
      | ~ obj(X1,X2)
      | ~ chea(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10388]) ).

fof(f19162,plain,
    chea(n374bernehmen_1_1,annahme_1_1),
    inference(cnf_transformation,[status(thm)],[f8535]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ val(X1,bmw_0)
      | ~ subs(X3,n374bernehmen_1_1)
      | ~ sub(X1,name_1_1)
      | ~ sub(X0,firma_1_1)
      | ~ prop(X0,britisch__1_1)
      | ~ obj(X3,X0)
      | ~ attr(X4,X5)
      | ~ attr(X2,X1)
      | ~ agt(X3,X2) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X1] :
      ( ~ val(X1,bmw_0)
      | ! [X3] :
          ( ~ subs(X3,n374bernehmen_1_1)
          | ~ sub(X1,name_1_1)
          | ! [X0] :
              ( ~ sub(X0,firma_1_1)
              | ~ prop(X0,britisch__1_1)
              | ~ obj(X3,X0)
              | ! [X4,X5] : ~ attr(X4,X5)
              | ! [X2] :
                  ( ~ attr(X2,X1)
                  | ~ agt(X3,X2) ) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ val(X2,bmw_0)
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(X2,name_1_1)
      | ~ sub(X5,firma_1_1)
      | ~ prop(X5,britisch__1_1)
      | ~ obj(X0,X5)
      | ~ attr(X3,X4)
      | ~ attr(X1,X2)
      | ~ agt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20828,plain,
    agt(c1730,c2006),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20830,plain,
    obj(c1730,c1912),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20831,plain,
    subs(c1730,annahme_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20837,plain,
    prop(c1912,britisch__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20838,plain,
    sub(c1912,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20841,plain,
    attr(c2006,c2007),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20844,plain,
    sub(c2007,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20845,plain,
    val(c2007,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21112,definition,
    ! [X0,X1,X2,X5] :
      ( sQ0_spl
    <=> ( ~ val(X2,bmw_0)
        | ~ subs(X0,n374bernehmen_1_1)
        | ~ sub(X2,name_1_1)
        | ~ sub(X5,firma_1_1)
        | ~ prop(X5,britisch__1_1)
        | ~ obj(X0,X5)
        | ~ attr(X1,X2)
        | ~ agt(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21113,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ0_spl
      | ~ val(X2,bmw_0)
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(X2,name_1_1)
      | ~ sub(X3,firma_1_1)
      | ~ prop(X3,britisch__1_1)
      | ~ obj(X0,X3)
      | ~ attr(X1,X2)
      | ~ agt(X0,X1) ),
    inference(component_clause,[status(thm)],[f21112]) ).

fof(f21115,definition,
    ! [X3,X4] :
      ( sQ1_spl
    <=> ~ attr(X3,X4) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21116,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21115]) ).

fof(f21118,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21112,f21115]) ).

fof(f21119,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(c2007,name_1_1)
      | ~ sub(X2,firma_1_1)
      | ~ prop(X2,britisch__1_1)
      | ~ obj(X0,X2)
      | ~ attr(X1,c2007)
      | ~ agt(X0,X1) ),
    inference(resolution,[status(thm)],[f20845,f21113]) ).

fof(f21120,definition,
    ! [X0,X1,X2] :
      ( sQ2_spl
    <=> ( ~ subs(X0,n374bernehmen_1_1)
        | ~ sub(X2,firma_1_1)
        | ~ prop(X2,britisch__1_1)
        | ~ obj(X0,X2)
        | ~ attr(X1,c2007)
        | ~ agt(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21121,plain,
    ! [X0,X1,X2] :
      ( ~ sQ2_spl
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(X2,firma_1_1)
      | ~ prop(X2,britisch__1_1)
      | ~ obj(X0,X2)
      | ~ attr(X1,c2007)
      | ~ agt(X0,X1) ),
    inference(component_clause,[status(thm)],[f21120]) ).

fof(f21123,definition,
    ( sQ3_spl
  <=> sub(c2007,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f21125,plain,
    ( sQ3_spl
    | ~ sub(c2007,name_1_1) ),
    inference(component_clause,[status(thm)],[f21123]) ).

fof(f21126,plain,
    ( ~ sQ0_spl
    | ~ sQ3_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f21119,f21120,f21123,f21112]) ).

fof(f21127,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20841,f21116]) ).

fof(f21136,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21125,f20844]) ).

fof(f21137,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f21136]) ).

fof(f21138,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21127]) ).

fof(f21140,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(X1,firma_1_1)
      | ~ prop(X1,britisch__1_1)
      | ~ obj(X0,X1)
      | ~ agt(X0,c2006) ),
    inference(resolution,[status(thm)],[f20841,f21121]) ).

fof(f21153,plain,
    ! [X0] :
      ( subs(sK4_skl(X0,c1730),X0)
      | ~ chea(X0,annahme_1_1) ),
    inference(resolution,[status(thm)],[f10377,f20831]) ).

fof(f21168,plain,
    subs(sK4_skl(n374bernehmen_1_1,c1730),n374bernehmen_1_1),
    inference(resolution,[status(thm)],[f21153,f19162]) ).

fof(f21169,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ sub(X0,firma_1_1)
      | ~ prop(X0,britisch__1_1)
      | ~ obj(sK4_skl(n374bernehmen_1_1,c1730),X0)
      | ~ agt(sK4_skl(n374bernehmen_1_1,c1730),c2006) ),
    inference(resolution,[status(thm)],[f21168,f21140]) ).

fof(f21175,definition,
    ( sQ4_spl
  <=> agt(sK4_skl(n374bernehmen_1_1,c1730),c2006) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21177,plain,
    ( sQ4_spl
    | ~ agt(sK4_skl(n374bernehmen_1_1,c1730),c2006) ),
    inference(component_clause,[status(thm)],[f21175]) ).

fof(f21178,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ( ~ sub(X0,firma_1_1)
        | ~ prop(X0,britisch__1_1)
        | ~ obj(sK4_skl(n374bernehmen_1_1,c1730),X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21179,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ sub(X0,firma_1_1)
      | ~ prop(X0,britisch__1_1)
      | ~ obj(sK4_skl(n374bernehmen_1_1,c1730),X0) ),
    inference(component_clause,[status(thm)],[f21178]) ).

fof(f21181,plain,
    ( ~ sQ2_spl
    | sQ5_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f21169,f21175,f21178,f21120]) ).

fof(f21186,plain,
    ( ~ sQ5_spl
    | ~ sub(c1912,firma_1_1)
    | ~ obj(sK4_skl(n374bernehmen_1_1,c1730),c1912) ),
    inference(resolution,[status(thm)],[f21179,f20837]) ).

fof(f21188,definition,
    ( sQ7_spl
  <=> obj(sK4_skl(n374bernehmen_1_1,c1730),c1912) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f21190,plain,
    ( sQ7_spl
    | ~ obj(sK4_skl(n374bernehmen_1_1,c1730),c1912) ),
    inference(component_clause,[status(thm)],[f21188]) ).

fof(f21191,definition,
    ( sQ8_spl
  <=> sub(c1912,firma_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f21193,plain,
    ( sQ8_spl
    | ~ sub(c1912,firma_1_1) ),
    inference(component_clause,[status(thm)],[f21191]) ).

fof(f21194,plain,
    ( ~ sQ5_spl
    | ~ sQ8_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f21186,f21188,f21191,f21178]) ).

fof(f21195,plain,
    ( sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21193,f20838]) ).

fof(f21196,plain,
    sQ8_spl,
    inference(contradiction_clause,[status(thm)],[f21195]) ).

fof(f21199,plain,
    ! [X0] :
      ( sQ4_spl
      | ~ chea(sK4_skl(n374bernehmen_1_1,c1730),X0)
      | ~ agt(X0,c2006) ),
    inference(resolution,[status(thm)],[f21177,f10383]) ).

fof(f21242,plain,
    ! [X0] :
      ( sQ7_spl
      | ~ obj(X0,c1912)
      | ~ chea(sK4_skl(n374bernehmen_1_1,c1730),X0) ),
    inference(resolution,[status(thm)],[f21190,f10389]) ).

fof(f21246,plain,
    ! [X0] :
      ( sQ4_spl
      | ~ subs(c1730,X0)
      | ~ chea(n374bernehmen_1_1,X0)
      | ~ agt(c1730,c2006) ),
    inference(resolution,[status(thm)],[f21199,f10376]) ).

fof(f21248,definition,
    ( sQ15_spl
  <=> agt(c1730,c2006) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f21250,plain,
    ( sQ15_spl
    | ~ agt(c1730,c2006) ),
    inference(component_clause,[status(thm)],[f21248]) ).

fof(f21251,definition,
    ! [X0] :
      ( sQ16_spl
    <=> ( ~ subs(c1730,X0)
        | ~ chea(n374bernehmen_1_1,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f21252,plain,
    ! [X0] :
      ( ~ sQ16_spl
      | ~ subs(c1730,X0)
      | ~ chea(n374bernehmen_1_1,X0) ),
    inference(component_clause,[status(thm)],[f21251]) ).

fof(f21254,plain,
    ( sQ4_spl
    | sQ16_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f21246,f21248,f21251,f21175]) ).

fof(f21255,plain,
    ( sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21250,f20828]) ).

fof(f21256,plain,
    sQ15_spl,
    inference(contradiction_clause,[status(thm)],[f21255]) ).

fof(f21257,plain,
    ( ~ sQ16_spl
    | ~ chea(n374bernehmen_1_1,annahme_1_1) ),
    inference(resolution,[status(thm)],[f21252,f20831]) ).

fof(f21258,plain,
    ( ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21257,f19162]) ).

fof(f21259,plain,
    ~ sQ16_spl,
    inference(contradiction_clause,[status(thm)],[f21258]) ).

fof(f21260,plain,
    ! [X0] :
      ( sQ7_spl
      | ~ subs(c1730,X0)
      | ~ chea(n374bernehmen_1_1,X0)
      | ~ obj(c1730,c1912) ),
    inference(resolution,[status(thm)],[f21242,f10376]) ).

fof(f21262,definition,
    ( sQ17_spl
  <=> obj(c1730,c1912) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f21264,plain,
    ( sQ17_spl
    | ~ obj(c1730,c1912) ),
    inference(component_clause,[status(thm)],[f21262]) ).

fof(f21265,plain,
    ( sQ7_spl
    | sQ16_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f21260,f21262,f21251,f21188]) ).

fof(f21266,plain,
    ( sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21264,f20830]) ).

fof(f21267,plain,
    sQ17_spl,
    inference(contradiction_clause,[status(thm)],[f21266]) ).

fof(f21268,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21118,f21126,f21137,f21138,f21181,f21194,f21196,f21254,f21256,f21259,f21265,f21267]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR115+8 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42  % Computer : n018.cluster.edu
% 0.18/0.42  % Model    : x86_64 x86_64
% 0.18/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42  % Memory   : 8046.5625MB
% 0.18/0.42  % OS       : Linux 6.8.0-71-generic
% 0.18/0.42  % CPULimit : 300
% 0.18/0.42  % WCLimit  : 300
% 0.18/0.42  % DateTime : Mon Sep 21 15:09:59 UTC 2026
% 0.18/0.42  % CPUTime  : 
% 0.43/0.65  % Drodi V4.1.1
% 94.70/12.84  % Refutation found
% 94.70/12.84  % SZS status Theorem for theBenchmark: Theorem is valid
% 94.70/12.84  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.45/12.98  % Elapsed time: 12.539509 seconds
% 7.45/12.98  % CPU time: 96.598047 seconds
% 7.45/12.98  % Total memory used: 571.858 MB
% 7.45/12.98  % Net memory used: 552.355 MB
%------------------------------------------------------------------------------