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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+75 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n005.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 0.50s 1.09s
% Output   : CNFRefutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   35 (   9 unt;   0 def)
%            Number of atoms       :  242 (   0 equ)
%            Maximal formula atoms :  104 (   6 avg)
%            Number of connectives :  291 (  84   ~;  72   |; 133   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  104 (  10 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-4 aty)
%            Number of functors    :   46 (  46 usr;  44 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,
    ( 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(c86,varia_c)
    & refer(c86,indet)
    & quant(c86,one)
    & gener(c86,sp)
    & fact(c86,real)
    & etype(c86,int0)
    & card(c86,int1)
    & sort(c86,na)
    & varia(c85,con)
    & refer(c85,det)
    & quant(c85,one)
    & gener(c85,sp)
    & fact(c85,real)
    & etype(c85,int0)
    & card(c85,int1)
    & sort(c85,io)
    & sort(c85,d)
    & varia(motor__1_1,varia_c)
    & refer(motor__1_1,refer_c)
    & quant(motor__1_1,one)
    & gener(motor__1_1,ge)
    & fact(motor__1_1,real)
    & etype(motor__1_1,int0)
    & card(motor__1_1,int1)
    & sort(motor__1_1,d)
    & sort(gleich_1_1,rq)
    & varia(l6_1_1,varia_c)
    & refer(l6_1_1,refer_c)
    & quant(l6_1_1,one)
    & gener(l6_1_1,ge)
    & fact(l6_1_1,real)
    & etype(l6_1_1,int0)
    & card(l6_1_1,int1)
    & sort(l6_1_1,o)
    & varia(beid_2_1,varia_c)
    & refer(beid_2_1,refer_c)
    & quant(beid_2_1,both)
    & gener(beid_2_1,gener_c)
    & fact(beid_2_1,real)
    & etype(beid_2_1,int1)
    & card(beid_2_1,int2)
    & sort(beid_2_1,o)
    & varia(c72,varia_c)
    & refer(c72,indet)
    & quant(c72,mult)
    & gener(c72,sp)
    & fact(c72,real)
    & etype(c72,int1)
    & card(c72,cons(x_constant,cons(int1,nil)))
    & sort(c72,d)
    & varia(c69,varia_c)
    & refer(c69,refer_c)
    & quant(c69,mult)
    & gener(c69,gener_c)
    & fact(c69,real)
    & etype(c69,int1)
    & card(c69,cons(x_constant,cons(int1,nil)))
    & sort(c69,o)
    & varia(c62,varia_c)
    & refer(c62,refer_c)
    & quant(c62,both)
    & gener(c62,gener_c)
    & fact(c62,real)
    & etype(c62,int3)
    & etype(c62,int2)
    & etype(c62,int1)
    & card(c62,int2)
    & sort(c62,o)
    & varia(c269,varia_c)
    & refer(c269,refer_c)
    & quant(c269,quant_c)
    & gener(c269,gener_c)
    & fact(c269,real)
    & etype(c269,etype_c)
    & card(c269,card_c)
    & sort(c269,ent)
    & val(c86,bmw_0)
    & sub(c86,name_1_1)
    & sub(c85,firma_1_1)
    & attr(c85,c86)
    & attch(c85,c72)
    & pred(c72,motor__1_1)
    & propr(c69,gleich_1_1)
    & pred(c69,l6_1_1)
    & pred(c62,beid_2_1)
    & tupl_p4(c269,c62,c69,c72) ),
    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(f20824,plain,
    attr(c85,c86),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    sub(c85,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    sub(c86,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    val(c86,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20957,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(f20958,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)],[f20957]) ).

fof(f20961,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X0,firma_1_1)
      | ~ sub(c86,name_1_1)
      | ~ obj(X4,X0)
      | ~ attr(X2,X3)
      | ~ attr(X1,c86)
      | ~ attr(X0,c86) ),
    inference(resolution,[status(thm)],[f20827,f20958]) ).

fof(f20974,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X0,firma_1_1)
      | ~ obj(X4,X0)
      | ~ attr(X2,X3)
      | ~ attr(X1,c86)
      | ~ attr(X0,c86) ),
    inference(forward_subsumption_resolution,[status(thm)],[f20961,f20826]) ).

fof(f20975,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sub(X0,firma_1_1)
      | ~ obj(X3,X0)
      | ~ attr(X1,X2)
      | ~ attr(X0,c86) ),
    inference(resolution,[status(thm)],[f20974,f20824]) ).

fof(f20976,plain,
    ! [X0,X1,X2] :
      ( ~ sub(c85,firma_1_1)
      | ~ obj(X2,c85)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f20975,f20824]) ).

fof(f20977,plain,
    ! [X0,X1,X2] :
      ( ~ obj(X2,c85)
      | ~ attr(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f20976,f20825]) ).

fof(f20982,plain,
    ! [X0] :
      ( obj(sK51_skl(c85),c85)
      | ~ sub(c86,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f10702,f20824]) ).

fof(f20983,plain,
    ( obj(sK51_skl(c85),c85)
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f20982,f20826]) ).

fof(f20985,plain,
    ( ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil)))
    | obj(sK51_skl(c85),c85) ),
    inference(resolution,[status(thm)],[f20983,f10194]) ).

fof(f20986,plain,
    ( ~ member(name_1_1,cons(name_1_1,nil))
    | obj(sK51_skl(c85),c85) ),
    inference(resolution,[status(thm)],[f20985,f10194]) ).

fof(f20987,plain,
    obj(sK51_skl(c85),c85),
    inference(forward_subsumption_resolution,[status(thm)],[f20986,f10191]) ).

fof(f20988,plain,
    ! [X0,X1] : ~ attr(X0,X1),
    inference(resolution,[status(thm)],[f20987,f20977]) ).

fof(f20992,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f20824,f20988]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR115+75 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43  % Computer : n005.cluster.edu
% 0.19/0.43  % Model    : x86_64 x86_64
% 0.19/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43  % Memory   : 8046.5625MB
% 0.19/0.43  % OS       : Linux 6.8.0-71-generic
% 0.19/0.43  % CPULimit : 300
% 0.19/0.43  % WCLimit  : 300
% 0.19/0.43  % DateTime : Mon Sep 21 15:07:32 UTC 2026
% 0.19/0.44  % CPUTime  : 
% 0.39/0.65  % Drodi V4.1.1
% 0.50/1.09  % Refutation found
% 0.50/1.09  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.50/1.09  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.50/1.26  % Elapsed time: 0.800109 seconds
% 0.50/1.26  % CPU time: 3.782310 seconds
% 0.50/1.26  % Total memory used: 445.466 MB
% 0.50/1.26  % Net memory used: 444.790 MB
%------------------------------------------------------------------------------