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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+79 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/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 12:14:05 PM UTC 2026

% Result   : Theorem 21.85s 3.36s
% Output   : CNFRefutation 21.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   35 (   9 unt;   0 def)
%            Number of atoms       :  266 (   0 equ)
%            Maximal formula atoms :  128 (   7 avg)
%            Number of connectives :  315 (  84   ~;  72   |; 157   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  128 (  11 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  19 usr;   1 prp; 0-5 aty)
%            Number of functors    :   41 (  41 usr;  39 con; 0-2 aty)
%            Number of variables   :  104 (  87   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X0,X2)
     => member(X0,cons(X1,X2)) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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(bein_1_1,varia_c)
    & refer(bein_1_1,refer_c)
    & quant(bein_1_1,one)
    & gener(bein_1_1,ge)
    & fact(bein_1_1,real)
    & etype(bein_1_1,int0)
    & card(bein_1_1,int1)
    & sort(bein_1_1,d)
    & varia(stand_1_1,varia_c)
    & refer(stand_1_1,refer_c)
    & quant(stand_1_1,one)
    & gener(stand_1_1,ge)
    & fact(stand_1_1,real)
    & etype(stand_1_1,int0)
    & card(stand_1_1,int1)
    & sort(stand_1_1,d)
    & varia(c287,varia_c)
    & refer(c287,refer_c)
    & quant(c287,quant_c)
    & gener(c287,gener_c)
    & fact(c287,real)
    & etype(c287,etype_c)
    & card(c287,card_c)
    & sort(c287,ent)
    & varia(c142,con)
    & refer(c142,det)
    & quant(c142,one)
    & gener(c142,sp)
    & fact(c142,real)
    & etype(c142,int0)
    & card(c142,int1)
    & sort(c142,io)
    & sort(c142,d)
    & varia(standbein_1_1,varia_c)
    & refer(standbein_1_1,refer_c)
    & quant(standbein_1_1,one)
    & gener(standbein_1_1,ge)
    & fact(standbein_1_1,real)
    & etype(standbein_1_1,int0)
    & card(standbein_1_1,int1)
    & sort(standbein_1_1,d)
    & varia(c138,con)
    & refer(c138,det)
    & quant(c138,one)
    & gener(c138,sp)
    & fact(c138,real)
    & etype(c138,int0)
    & card(c138,int1)
    & sort(c138,d)
    & varia(basis_1_1,varia_c)
    & refer(basis_1_1,refer_c)
    & quant(basis_1_1,one)
    & gener(basis_1_1,ge)
    & fact(basis_1_1,real)
    & etype(basis_1_1,int0)
    & card(basis_1_1,int1)
    & sort(basis_1_1,io)
    & varia(c134,varia_c)
    & refer(c134,refer_c)
    & quant(c134,one)
    & gener(c134,gener_c)
    & fact(c134,real)
    & etype(c134,int0)
    & card(c134,int1)
    & sort(c134,io)
    & 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(c130,varia_c)
    & refer(c130,indet)
    & quant(c130,one)
    & gener(c130,sp)
    & fact(c130,real)
    & etype(c130,int0)
    & card(c130,int1)
    & sort(c130,na)
    & varia(c129,con)
    & refer(c129,det)
    & quant(c129,one)
    & gener(c129,sp)
    & fact(c129,real)
    & etype(c129,int0)
    & card(c129,int1)
    & sort(c129,io)
    & sort(c129,d)
    & varia(roadster_1_1,varia_c)
    & refer(roadster_1_1,refer_c)
    & quant(roadster_1_1,one)
    & gener(roadster_1_1,ge)
    & fact(roadster_1_1,real)
    & etype(roadster_1_1,int0)
    & card(roadster_1_1,int1)
    & sort(roadster_1_1,d)
    & varia(c104,varia_c)
    & refer(c104,refer_c)
    & quant(c104,one)
    & gener(c104,gener_c)
    & fact(c104,real)
    & etype(c104,int0)
    & card(c104,int1)
    & sort(c104,d)
    & sub(standbein_1_1,bein_1_1)
    & assoc(standbein_1_1,stand_1_1)
    & tupl_p5(c287,c104,c129,c134,c138)
    & sub(c142,firma_1_1)
    & attch(c142,c138)
    & sub(c138,standbein_1_1)
    & sub(c134,basis_1_1)
    & val(c130,bmw_0)
    & sub(c130,name_1_1)
    & sub(c129,firma_1_1)
    & attr(c129,c130)
    & sub(c104,roadster_1_1) ),
    file('/export/starexec/sandbox2/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(f20819,plain,
    attr(c129,c130),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20820,plain,
    sub(c129,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20821,plain,
    sub(c130,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20822,plain,
    val(c130,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20981,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(f20982,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)],[f20981]) ).

fof(f20985,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X0,firma_1_1)
      | ~ sub(c130,name_1_1)
      | ~ obj(X4,X0)
      | ~ attr(X2,X3)
      | ~ attr(X1,c130)
      | ~ attr(X0,c130) ),
    inference(resolution,[status(thm)],[f20822,f20982]) ).

fof(f20998,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X0,firma_1_1)
      | ~ obj(X4,X0)
      | ~ attr(X2,X3)
      | ~ attr(X1,c130)
      | ~ attr(X0,c130) ),
    inference(forward_subsumption_resolution,[status(thm)],[f20985,f20821]) ).

fof(f20999,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sub(X0,firma_1_1)
      | ~ obj(X3,X0)
      | ~ attr(X1,X2)
      | ~ attr(X0,c130) ),
    inference(resolution,[status(thm)],[f20998,f20819]) ).

fof(f21000,plain,
    ! [X0,X1,X2] :
      ( ~ sub(c129,firma_1_1)
      | ~ obj(X2,c129)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f20999,f20819]) ).

fof(f21001,plain,
    ! [X0,X1,X2] :
      ( ~ obj(X2,c129)
      | ~ attr(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21000,f20820]) ).

fof(f21004,plain,
    ! [X0] :
      ( obj(sK51_skl(c129),c129)
      | ~ sub(c130,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f10702,f20819]) ).

fof(f21005,plain,
    ( obj(sK51_skl(c129),c129)
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21004,f20821]) ).

fof(f21008,plain,
    ( ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil)))
    | obj(sK51_skl(c129),c129) ),
    inference(resolution,[status(thm)],[f21005,f10194]) ).

fof(f21009,plain,
    ( ~ member(name_1_1,cons(name_1_1,nil))
    | obj(sK51_skl(c129),c129) ),
    inference(resolution,[status(thm)],[f21008,f10194]) ).

fof(f21010,plain,
    obj(sK51_skl(c129),c129),
    inference(forward_subsumption_resolution,[status(thm)],[f21009,f10191]) ).

fof(f21011,plain,
    ! [X0,X1] : ~ attr(X0,X1),
    inference(resolution,[status(thm)],[f21010,f21001]) ).

fof(f21015,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f20819,f21011]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+79 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34  % Computer : n019.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit : 300
% 0.08/0.34  % WCLimit  : 300
% 0.08/0.34  % DateTime : Mon Sep 21 15:07:50 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.27/0.57  % Drodi V4.1.1
% 21.85/3.36  % Refutation found
% 21.85/3.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 21.85/3.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.49/3.55  % Elapsed time: 3.182692 seconds
% 1.49/3.55  % CPU time: 22.418780 seconds
% 1.49/3.55  % Total memory used: 480.778 MB
% 1.49/3.55  % Net memory used: 474.718 MB
%------------------------------------------------------------------------------