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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+41 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n019.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 12:13:59 PM UTC 2026

% Result   : Theorem 14.08s 2.46s
% Output   : CNFRefutation 14.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   35 (   9 unt;   0 def)
%            Number of atoms       :  326 (   0 equ)
%            Maximal formula atoms :  188 (   9 avg)
%            Number of connectives :  375 (  84   ~;  72   |; 217   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  188 (  12 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-5 aty)
%            Number of functors    :   55 (  55 usr;  53 con; 0-2 aty)
%            Number of variables   :  104 (  87   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X0,X2)
     => member(X0,cons(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f160,axiom,
    ! [X0,X1,X2] :
      ( ( sub(X0,X1)
        & member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        & attr(X2,X0) )
     => ? [X3] :
          ( subs(X3,stehen_1_b)
          & scar(X3,X2)
          & obj(X3,X2)
          & mcont(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( val(X2,bmw_0)
      & val(X1,bmw_0)
      & sub(X2,name_1_1)
      & sub(X0,firma_1_1)
      & sub(X1,name_1_1)
      & obj(X4,X0)
      & attr(X5,X6)
      & attr(X3,X2)
      & attr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6] :
        ( val(X2,bmw_0)
        & val(X1,bmw_0)
        & sub(X2,name_1_1)
        & sub(X0,firma_1_1)
        & sub(X1,name_1_1)
        & obj(X4,X0)
        & attr(X5,X6)
        & attr(X3,X2)
        & attr(X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(c299,varia_c)
    & refer(c299,refer_c)
    & quant(c299,quant_c)
    & gener(c299,gener_c)
    & fact(c299,real)
    & etype(c299,etype_c)
    & card(c299,card_c)
    & sort(c299,ent)
    & sort(carweek_0,fe)
    & sort(britisch__1_1,nq)
    & varia(c187,varia_c)
    & refer(c187,indet)
    & quant(c187,one)
    & gener(c187,sp)
    & fact(c187,real)
    & etype(c187,int0)
    & card(c187,int1)
    & sort(c187,na)
    & varia(c181,con)
    & refer(c181,det)
    & quant(c181,one)
    & gener(c181,sp)
    & fact(c181,real)
    & etype(c181,int0)
    & card(c181,int1)
    & sort(c181,io)
    & sort(c181,d)
    & varia(c177,varia_c)
    & refer(c177,refer_c)
    & quant(c177,quant_c)
    & gener(c177,gener_c)
    & fact(c177,real)
    & etype(c177,int2)
    & etype(c177,int1)
    & card(c177,card_c)
    & sort(c177,o)
    & sort(neo_1_1,nq)
    & varia(ausgabe_1_1,varia_c)
    & refer(ausgabe_1_1,refer_c)
    & quant(ausgabe_1_1,one)
    & gener(ausgabe_1_1,ge)
    & fact(ausgabe_1_1,real)
    & etype(ausgabe_1_1,int0)
    & card(ausgabe_1_1,int1)
    & sort(ausgabe_1_1,ad)
    & sort(c176,tq)
    & varia(c173,con)
    & refer(c173,det)
    & quant(c173,one)
    & gener(c173,sp)
    & fact(c173,real)
    & etype(c173,int0)
    & card(c173,int1)
    & sort(c173,ad)
    & sort(pischetsrieder_0,fe)
    & varia(familiename_1_1,varia_c)
    & refer(familiename_1_1,refer_c)
    & quant(familiename_1_1,one)
    & gener(familiename_1_1,ge)
    & fact(familiename_1_1,real)
    & etype(familiename_1_1,int0)
    & card(familiename_1_1,int1)
    & sort(familiename_1_1,na)
    & sort(bernd_0,fe)
    & varia(eigenname_1_1,varia_c)
    & refer(eigenname_1_1,refer_c)
    & quant(eigenname_1_1,one)
    & gener(eigenname_1_1,ge)
    & fact(eigenname_1_1,real)
    & etype(eigenname_1_1,int0)
    & card(eigenname_1_1,int1)
    & sort(eigenname_1_1,na)
    & varia(an_f__374hrer_1_1,varia_c)
    & refer(an_f__374hrer_1_1,refer_c)
    & quant(an_f__374hrer_1_1,one)
    & gener(an_f__374hrer_1_1,ge)
    & fact(an_f__374hrer_1_1,real)
    & etype(an_f__374hrer_1_1,int0)
    & card(an_f__374hrer_1_1,int1)
    & sort(an_f__374hrer_1_1,d)
    & varia(c166,varia_c)
    & refer(c166,det)
    & quant(c166,one)
    & gener(c166,sp)
    & fact(c166,real)
    & etype(c166,int0)
    & card(c166,int1)
    & sort(c166,na)
    & varia(c165,varia_c)
    & refer(c165,indet)
    & quant(c165,one)
    & gener(c165,sp)
    & fact(c165,real)
    & etype(c165,int0)
    & card(c165,int1)
    & sort(c165,na)
    & varia(c164,varia_c)
    & refer(c164,det)
    & quant(c164,one)
    & gener(c164,sp)
    & fact(c164,real)
    & etype(c164,int0)
    & card(c164,int1)
    & sort(c164,d)
    & sort(bmw_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)
    & 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)
    & varia(c158,varia_c)
    & refer(c158,indet)
    & quant(c158,one)
    & gener(c158,sp)
    & fact(c158,real)
    & etype(c158,int0)
    & card(c158,int1)
    & sort(c158,na)
    & varia(c157,con)
    & refer(c157,det)
    & quant(c157,one)
    & gener(c157,sp)
    & fact(c157,real)
    & etype(c157,int0)
    & card(c157,int1)
    & sort(c157,io)
    & sort(c157,d)
    & varia(journal_1_1,varia_c)
    & refer(journal_1_1,refer_c)
    & quant(journal_1_1,one)
    & gener(journal_1_1,ge)
    & fact(journal_1_1,real)
    & etype(journal_1_1,int0)
    & card(journal_1_1,int1)
    & sort(journal_1_1,io)
    & sort(journal_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(autojournal_1_1,varia_c)
    & refer(autojournal_1_1,refer_c)
    & quant(autojournal_1_1,one)
    & gener(autojournal_1_1,ge)
    & fact(autojournal_1_1,real)
    & etype(autojournal_1_1,int0)
    & card(autojournal_1_1,int1)
    & sort(autojournal_1_1,io)
    & sort(autojournal_1_1,d)
    & tupl_p5(c299,c157,c164,c173,c176)
    & val(c187,carweek_0)
    & sub(c187,name_1_1)
    & sub(c181,autojournal_1_1)
    & prop(c181,britisch__1_1)
    & attr(c181,c187)
    & attch(c181,c173)
    & supl(c176,neo_1_1,c177)
    & subs(c173,ausgabe_1_1)
    & prop(c173,c176)
    & val(c166,pischetsrieder_0)
    & sub(c166,familiename_1_1)
    & val(c165,bernd_0)
    & sub(c165,eigenname_1_1)
    & sub(c164,an_f__374hrer_1_1)
    & attr(c164,c166)
    & attr(c164,c165)
    & val(c158,bmw_0)
    & sub(c158,name_1_1)
    & sub(c157,firma_1_1)
    & attr(c157,c158)
    & sub(autojournal_1_1,journal_1_1)
    & assoc(autojournal_1_1,auto__1_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10191,plain,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f10192,plain,
    ! [X0,X1,X2] :
      ( member(X0,cons(X1,X2))
      | ~ member(X0,X2) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f10193,plain,
    ! [X0,X2] :
      ( ! [X1] : member(X0,cons(X1,X2))
      | ~ member(X0,X2) ),
    inference(miniscoping,[status(thm)],[f10192]) ).

fof(f10194,plain,
    ! [X0,X1,X2] :
      ( member(X0,cons(X2,X1))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10193]) ).

fof(f10698,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subs(X3,stehen_1_b)
          & scar(X3,X2)
          & obj(X3,X2)
          & mcont(X3,X2) )
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X2,X0) ),
    inference(pre_NNF_transformation,[status(thm)],[f160]) ).

fof(f10699,plain,
    ! [X2] :
      ( ? [X3] :
          ( subs(X3,stehen_1_b)
          & scar(X3,X2)
          & obj(X3,X2)
          & mcont(X3,X2) )
      | ! [X0,X1] :
          ( ~ sub(X0,X1)
          | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
          | ~ attr(X2,X0) ) ),
    inference(miniscoping,[status(thm)],[f10698]) ).

fof(f10700,plain,
    ! [X2] :
      ( ( subs(sK51_skl(X2),stehen_1_b)
        & scar(sK51_skl(X2),X2)
        & obj(sK51_skl(X2),X2)
        & mcont(sK51_skl(X2),X2) )
      | ! [X0,X1] :
          ( ~ sub(X0,X1)
          | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
          | ~ attr(X2,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK51_skl]),skolemize(X3,sK51_skl(X2))],[f10699]) ).

fof(f10702,plain,
    ! [X0,X1,X2] :
      ( obj(sK51_skl(X0),X0)
      | ~ sub(X1,X2)
      | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10700]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ val(X2,bmw_0)
      | ~ val(X1,bmw_0)
      | ~ sub(X2,name_1_1)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X1,name_1_1)
      | ~ obj(X4,X0)
      | ~ attr(X5,X6)
      | ~ attr(X3,X2)
      | ~ attr(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X2] :
      ( ~ val(X2,bmw_0)
      | ! [X1] :
          ( ~ val(X1,bmw_0)
          | ~ sub(X2,name_1_1)
          | ! [X0] :
              ( ~ sub(X0,firma_1_1)
              | ~ sub(X1,name_1_1)
              | ! [X4] : ~ obj(X4,X0)
              | ! [X5,X6] : ~ attr(X5,X6)
              | ! [X3] : ~ attr(X3,X2)
              | ~ attr(X0,X1) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ val(X3,bmw_0)
      | ~ val(X1,bmw_0)
      | ~ sub(X3,name_1_1)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X1,name_1_1)
      | ~ obj(X6,X0)
      | ~ attr(X4,X5)
      | ~ attr(X2,X3)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20820,plain,
    attr(c157,c158),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20821,plain,
    sub(c157,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20822,plain,
    sub(c158,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20823,plain,
    val(c158,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21041,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X1,name_1_1)
      | ~ obj(X5,X0)
      | ~ attr(X3,X4)
      | ~ attr(X2,X1)
      | ~ attr(X0,X1) ),
    inference(factoring,[status(thm)],[f20817]) ).

fof(f21042,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ val(X1,bmw_0)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X1,name_1_1)
      | ~ obj(X5,X0)
      | ~ attr(X3,X4)
      | ~ attr(X2,X1)
      | ~ attr(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f21041]) ).

fof(f21045,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X0,firma_1_1)
      | ~ sub(c158,name_1_1)
      | ~ obj(X4,X0)
      | ~ attr(X2,X3)
      | ~ attr(X1,c158)
      | ~ attr(X0,c158) ),
    inference(resolution,[status(thm)],[f20823,f21042]) ).

fof(f21058,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X0,firma_1_1)
      | ~ obj(X4,X0)
      | ~ attr(X2,X3)
      | ~ attr(X1,c158)
      | ~ attr(X0,c158) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21045,f20822]) ).

fof(f21059,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sub(X0,firma_1_1)
      | ~ obj(X3,X0)
      | ~ attr(X1,X2)
      | ~ attr(X0,c158) ),
    inference(resolution,[status(thm)],[f21058,f20820]) ).

fof(f21060,plain,
    ! [X0,X1,X2] :
      ( ~ sub(c157,firma_1_1)
      | ~ obj(X2,c157)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21059,f20820]) ).

fof(f21061,plain,
    ! [X0,X1,X2] :
      ( ~ obj(X2,c157)
      | ~ attr(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21060,f20821]) ).

fof(f21064,plain,
    ! [X0] :
      ( obj(sK51_skl(c157),c157)
      | ~ sub(c158,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f10702,f20820]) ).

fof(f21067,plain,
    ( obj(sK51_skl(c157),c157)
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21064,f20822]) ).

fof(f21068,plain,
    ( ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil)))
    | obj(sK51_skl(c157),c157) ),
    inference(resolution,[status(thm)],[f21067,f10194]) ).

fof(f21069,plain,
    ( ~ member(name_1_1,cons(name_1_1,nil))
    | obj(sK51_skl(c157),c157) ),
    inference(resolution,[status(thm)],[f21068,f10194]) ).

fof(f21070,plain,
    obj(sK51_skl(c157),c157),
    inference(forward_subsumption_resolution,[status(thm)],[f21069,f10191]) ).

fof(f21072,plain,
    ! [X0,X1] : ~ attr(X0,X1),
    inference(resolution,[status(thm)],[f21070,f21061]) ).

fof(f21075,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f20820,f21072]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+41 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n019.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 21 15:06:50 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.25/0.51  % Drodi V4.1.1
% 14.08/2.46  % Refutation found
% 14.08/2.46  % SZS status Theorem for theBenchmark: Theorem is valid
% 14.08/2.46  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.64/2.54  % Elapsed time: 2.155644 seconds
% 1.64/2.54  % CPU time: 15.519083 seconds
% 1.64/2.54  % Total memory used: 499.244 MB
% 1.64/2.54  % Net memory used: 490.598 MB
%------------------------------------------------------------------------------