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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+7 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n016.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 12:14:05 PM UTC 2026

% Result   : Theorem 83.86s 11.08s
% Output   : CNFRefutation 83.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   39 (  11 unt;   0 def)
%            Number of atoms       :  398 (   0 equ)
%            Maximal formula atoms :  259 (  10 avg)
%            Number of connectives :  452 (  93   ~;  77   |; 280   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  259 (  13 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   1 prp; 0-3 aty)
%            Number of functors    :   68 (  68 usr;  67 con; 0-2 aty)
%            Number of variables   :  113 (  96   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f97,axiom,
    ! [X0,X1,X2] :
      ( ( subs(X0,X1)
        & chea(X2,X1) )
     => ? [X3] :
          ( subs(X3,X2)
          & chea(X3,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f99,axiom,
    ! [X0,X1,X2] :
      ( ( chea(X1,X0)
        & agt(X0,X2) )
     => agt(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8535,axiom,
    chea(n374bernehmen_1_1,annahme_1_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( val(X2,bmw_0)
      & val(X1,bmw_0)
      & subs(X4,n374bernehmen_1_1)
      & sub(X2,name_1_1)
      & sub(X1,name_1_1)
      & attr(X5,X6)
      & attr(X3,X2)
      & attr(X0,X1)
      & agt(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6] :
        ( val(X2,bmw_0)
        & val(X1,bmw_0)
        & subs(X4,n374bernehmen_1_1)
        & sub(X2,name_1_1)
        & sub(X1,name_1_1)
        & attr(X5,X6)
        & attr(X3,X2)
        & attr(X0,X1)
        & agt(X4,X3) ),
    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/sandbox2/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(f19162,plain,
    chea(n374bernehmen_1_1,annahme_1_1),
    inference(cnf_transformation,[status(thm)],[f8535]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ val(X2,bmw_0)
      | ~ val(X1,bmw_0)
      | ~ subs(X4,n374bernehmen_1_1)
      | ~ sub(X2,name_1_1)
      | ~ sub(X1,name_1_1)
      | ~ attr(X5,X6)
      | ~ attr(X3,X2)
      | ~ attr(X0,X1)
      | ~ agt(X4,X3) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X2] :
      ( ~ val(X2,bmw_0)
      | ! [X1] :
          ( ~ val(X1,bmw_0)
          | ! [X4] :
              ( ~ subs(X4,n374bernehmen_1_1)
              | ~ sub(X2,name_1_1)
              | ~ sub(X1,name_1_1)
              | ! [X5,X6] : ~ attr(X5,X6)
              | ! [X3] :
                  ( ~ attr(X3,X2)
                  | ! [X0] : ~ attr(X0,X1)
                  | ~ agt(X4,X3) ) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ val(X4,bmw_0)
      | ~ val(X3,bmw_0)
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(X4,name_1_1)
      | ~ sub(X3,name_1_1)
      | ~ attr(X5,X6)
      | ~ attr(X1,X4)
      | ~ attr(X2,X3)
      | ~ agt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

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

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

fof(f20836,plain,
    attr(c1912,c1913),
    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,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ val(X3,bmw_0)
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(X3,name_1_1)
      | ~ sub(X3,name_1_1)
      | ~ attr(X4,X5)
      | ~ attr(X1,X3)
      | ~ attr(X2,X3)
      | ~ agt(X0,X1) ),
    inference(factoring,[status(thm)],[f20817]) ).

fof(f21113,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ val(X3,bmw_0)
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(X3,name_1_1)
      | ~ attr(X4,X5)
      | ~ attr(X1,X3)
      | ~ attr(X2,X3)
      | ~ agt(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f21112]) ).

fof(f21114,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(c2007,name_1_1)
      | ~ attr(X3,X4)
      | ~ attr(X1,c2007)
      | ~ attr(X2,c2007)
      | ~ agt(X0,X1) ),
    inference(resolution,[status(thm)],[f20845,f21113]) ).

fof(f21124,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ subs(X0,n374bernehmen_1_1)
      | ~ attr(X3,X4)
      | ~ attr(X1,c2007)
      | ~ attr(X2,c2007)
      | ~ agt(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f21114,f20844]) ).

fof(f21135,plain,
    ! [X0] :
      ( subs(sK4_skl(X0,c1730),X0)
      | ~ chea(X0,annahme_1_1) ),
    inference(resolution,[status(thm)],[f10377,f20831]) ).

fof(f29047,plain,
    subs(sK4_skl(n374bernehmen_1_1,c1730),n374bernehmen_1_1),
    inference(resolution,[status(thm)],[f21135,f19162]) ).

fof(f29050,plain,
    ! [X0,X1,X2,X3] :
      ( ~ attr(X2,X3)
      | ~ attr(X0,c2007)
      | ~ attr(X1,c2007)
      | ~ agt(sK4_skl(n374bernehmen_1_1,c1730),X0) ),
    inference(resolution,[status(thm)],[f29047,f21124]) ).

fof(f29056,plain,
    ! [X0,X1,X2] :
      ( ~ attr(X1,X2)
      | ~ attr(X0,c2007)
      | ~ agt(sK4_skl(n374bernehmen_1_1,c1730),X0) ),
    inference(resolution,[status(thm)],[f29050,f20841]) ).

fof(f29057,plain,
    ! [X0,X1] :
      ( ~ attr(X0,X1)
      | ~ agt(sK4_skl(n374bernehmen_1_1,c1730),c2006) ),
    inference(resolution,[status(thm)],[f29056,f20841]) ).

fof(f29058,plain,
    ! [X0,X1,X2] :
      ( ~ chea(sK4_skl(n374bernehmen_1_1,c1730),X2)
      | ~ agt(X2,c2006)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f29057,f10383]) ).

fof(f29060,plain,
    ! [X0,X1,X2] :
      ( ~ subs(c1730,X2)
      | ~ chea(n374bernehmen_1_1,X2)
      | ~ agt(c1730,c2006)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f29058,f10376]) ).

fof(f29062,plain,
    ! [X0,X1,X2] :
      ( ~ subs(c1730,X2)
      | ~ chea(n374bernehmen_1_1,X2)
      | ~ attr(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f29060,f20828]) ).

fof(f29063,plain,
    ! [X0,X1] :
      ( ~ chea(n374bernehmen_1_1,annahme_1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f29062,f20831]) ).

fof(f29064,plain,
    ! [X0,X1] : ~ attr(X0,X1),
    inference(forward_subsumption_resolution,[status(thm)],[f29063,f19162]) ).

fof(f29066,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f20836,f29064]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+7 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n016.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 15:12:23 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.15/0.42  % Drodi V4.1.1
% 83.86/11.08  % Refutation found
% 83.86/11.08  % SZS status Theorem for theBenchmark: Theorem is valid
% 83.86/11.08  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.40/11.24  % Elapsed time: 10.878088 seconds
% 11.40/11.24  % CPU time: 84.981926 seconds
% 11.40/11.24  % Total memory used: 695.120 MB
% 11.40/11.24  % Net memory used: 669.194 MB
%------------------------------------------------------------------------------