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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+64 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.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 12:14:03 PM UTC 2026

% Result   : Theorem 18.24s 2.84s
% Output   : CNFRefutation 18.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   60 (  13 unt;   8 def)
%            Number of atoms       :  348 (   0 equ)
%            Maximal formula atoms :  152 (   5 avg)
%            Number of connectives :  404 ( 116   ~;  97   |; 181   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  152 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   30 (  29 usr;   9 prp; 0-2 aty)
%            Number of functors    :   44 (  44 usr;  42 con; 0-2 aty)
%            Number of variables   :   97 (  80   !;  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(industrie__1_1,varia_c)
    & refer(industrie__1_1,refer_c)
    & quant(industrie__1_1,quant_c)
    & gener(industrie__1_1,ge)
    & fact(industrie__1_1,real)
    & etype(industrie__1_1,int1)
    & card(industrie__1_1,card_c)
    & sort(industrie__1_1,io)
    & varia(r__374stung_1_1,varia_c)
    & refer(r__374stung_1_1,refer_c)
    & quant(r__374stung_1_1,one)
    & gener(r__374stung_1_1,ge)
    & fact(r__374stung_1_1,real)
    & etype(r__374stung_1_1,int0)
    & card(r__374stung_1_1,int1)
    & sort(r__374stung_1_1,d)
    & gener(akzeptieren_1_1,ge)
    & fact(akzeptieren_1_1,real)
    & sort(akzeptieren_1_1,da)
    & gener(c248,sp)
    & fact(c248,real)
    & sort(c248,da)
    & varia(r__374stungsindustrie_1_1,varia_c)
    & refer(r__374stungsindustrie_1_1,refer_c)
    & quant(r__374stungsindustrie_1_1,quant_c)
    & gener(r__374stungsindustrie_1_1,ge)
    & fact(r__374stungsindustrie_1_1,real)
    & etype(r__374stungsindustrie_1_1,int1)
    & card(r__374stungsindustrie_1_1,card_c)
    & sort(r__374stungsindustrie_1_1,io)
    & varia(c241,con)
    & refer(c241,det)
    & quant(c241,one)
    & gener(c241,sp)
    & fact(c241,real)
    & etype(c241,int1)
    & card(c241,int1)
    & sort(c241,io)
    & sort(eicher_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)
    & varia(mensch_1_1,varia_c)
    & refer(mensch_1_1,refer_c)
    & quant(mensch_1_1,one)
    & gener(mensch_1_1,ge)
    & fact(mensch_1_1,real)
    & etype(mensch_1_1,int0)
    & card(mensch_1_1,int1)
    & sort(mensch_1_1,d)
    & varia(c237,varia_c)
    & refer(c237,indet)
    & quant(c237,one)
    & gener(c237,sp)
    & fact(c237,real)
    & etype(c237,int0)
    & card(c237,int1)
    & sort(c237,na)
    & varia(c236,con)
    & refer(c236,det)
    & quant(c236,one)
    & gener(c236,sp)
    & fact(c236,real)
    & etype(c236,int0)
    & card(c236,int1)
    & sort(c236,d)
    & varia(auftrag_1_1,varia_c)
    & refer(auftrag_1_1,refer_c)
    & quant(auftrag_1_1,one)
    & gener(auftrag_1_1,ge)
    & fact(auftrag_1_1,real)
    & etype(auftrag_1_1,int0)
    & card(auftrag_1_1,int1)
    & sort(auftrag_1_1,io)
    & sort(auftrag_1_1,d)
    & varia(c234,varia_c)
    & refer(c234,indet)
    & quant(c234,mult)
    & gener(c234,sp)
    & fact(c234,real)
    & etype(c234,int1)
    & card(c234,cons(x_constant,cons(int1,nil)))
    & sort(c234,io)
    & sort(c234,d)
    & varia(c204,con)
    & refer(c204,det)
    & quant(c204,one)
    & gener(c204,sp)
    & fact(c204,real)
    & etype(c204,int0)
    & card(c204,int1)
    & sort(c204,io)
    & sort(c204,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(c201,varia_c)
    & refer(c201,indet)
    & quant(c201,one)
    & gener(c201,sp)
    & fact(c201,real)
    & etype(c201,int0)
    & card(c201,int1)
    & sort(c201,na)
    & varia(c200,con)
    & refer(c200,det)
    & quant(c200,one)
    & gener(c200,sp)
    & fact(c200,real)
    & etype(c200,int0)
    & card(c200,int1)
    & sort(c200,io)
    & sort(c200,d)
    & sub(r__374stungsindustrie_1_1,industrie__1_1)
    & assoc(r__374stungsindustrie_1_1,r__374stung_1_1)
    & subs(c248,akzeptieren_1_1)
    & obj(c248,c234)
    & benf(c248,c236)
    & assoc(c248,c200)
    & agt(c248,c204)
    & sub(c241,r__374stungsindustrie_1_1)
    & attch(c241,c234)
    & val(c237,eicher_0)
    & sub(c237,familiename_1_1)
    & sub(c236,mensch_1_1)
    & attr(c236,c237)
    & pred(c234,auftrag_1_1)
    & sub(c204,firma_1_1)
    & val(c201,bmw_0)
    & sub(c201,name_1_1)
    & sub(c200,firma_1_1)
    & attr(c200,c201) ),
    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(f20818,plain,
    attr(c200,c201),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20819,plain,
    sub(c200,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20820,plain,
    sub(c201,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20821,plain,
    val(c201,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21005,definition,
    ! [X0,X1,X6] :
      ( sQ0_spl
    <=> ( ~ val(X1,bmw_0)
        | ~ sub(X0,firma_1_1)
        | ~ sub(X1,name_1_1)
        | ~ obj(X6,X0)
        | ~ attr(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21006,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X1,name_1_1)
      | ~ obj(X2,X0)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21005]) ).

fof(f21008,definition,
    ! [X2,X3] :
      ( sQ1_spl
    <=> ( ~ val(X3,bmw_0)
        | ~ sub(X3,name_1_1)
        | ~ attr(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21009,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21008]) ).

fof(f21011,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ~ attr(X4,X5) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21012,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21011]) ).

fof(f21014,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21005,f21008,f21011]) ).

fof(f21015,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20818,f21012]) ).

fof(f21016,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21015]) ).

fof(f21017,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ0_spl
      | ~ val(X3,bmw_0)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X3,name_1_1)
      | ~ attr(X0,X3)
      | ~ sub(X1,X2)
      | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f10702,f21006]) ).

fof(f21022,definition,
    ( sQ4_spl
  <=> sub(c201,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21024,plain,
    ( sQ4_spl
    | ~ sub(c201,name_1_1) ),
    inference(component_clause,[status(thm)],[f21022]) ).

fof(f21026,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21024,f20820]) ).

fof(f21027,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21026]) ).

fof(f21028,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c201,name_1_1)
      | ~ attr(X0,c201) ),
    inference(resolution,[status(thm)],[f21009,f20821]) ).

fof(f21029,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ~ attr(X0,c201) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21030,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ attr(X0,c201) ),
    inference(component_clause,[status(thm)],[f21029]) ).

fof(f21032,plain,
    ( ~ sQ1_spl
    | ~ sQ4_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f21028,f21029,f21022,f21008]) ).

fof(f21033,plain,
    ( ~ sQ5_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20818,f21030]) ).

fof(f21034,plain,
    ~ sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21033]) ).

fof(f21036,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ val(c201,bmw_0)
      | ~ sub(c200,firma_1_1)
      | ~ sub(c201,name_1_1)
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(c200,X0) ),
    inference(resolution,[status(thm)],[f20818,f21017]) ).

fof(f21038,definition,
    ! [X0,X1] :
      ( sQ6_spl
    <=> ( ~ sub(X0,X1)
        | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(c200,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21039,plain,
    ! [X0,X1] :
      ( ~ sQ6_spl
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(c200,X0) ),
    inference(component_clause,[status(thm)],[f21038]) ).

fof(f21041,definition,
    ( sQ7_spl
  <=> sub(c200,firma_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f21043,plain,
    ( sQ7_spl
    | ~ sub(c200,firma_1_1) ),
    inference(component_clause,[status(thm)],[f21041]) ).

fof(f21045,definition,
    ( sQ8_spl
  <=> val(c201,bmw_0) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f21047,plain,
    ( sQ8_spl
    | ~ val(c201,bmw_0) ),
    inference(component_clause,[status(thm)],[f21045]) ).

fof(f21048,plain,
    ( ~ sQ0_spl
    | ~ sQ8_spl
    | ~ sQ7_spl
    | ~ sQ4_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f21036,f21038,f21022,f21041,f21045,f21005]) ).

fof(f21053,plain,
    ( sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21043,f20819]) ).

fof(f21054,plain,
    sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f21053]) ).

fof(f21055,plain,
    ( sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21047,f20821]) ).

fof(f21056,plain,
    sQ8_spl,
    inference(contradiction_clause,[status(thm)],[f21055]) ).

fof(f21058,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ sub(c201,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21039,f20818]) ).

fof(f21059,plain,
    ( ~ sQ6_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21058,f20820]) ).

fof(f21061,plain,
    ( ~ sQ6_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21059,f10194]) ).

fof(f21062,plain,
    ( ~ sQ6_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f21061,f10194]) ).

fof(f21063,plain,
    ( ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21062,f10191]) ).

fof(f21064,plain,
    ~ sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f21063]) ).

fof(f21065,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21014,f21016,f21027,f21032,f21034,f21048,f21054,f21056,f21064]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR115+64 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35  % Computer : n007.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 15:05:21 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.23/0.49  % Drodi V4.1.1
% 18.24/2.84  % Refutation found
% 18.24/2.84  % SZS status Theorem for theBenchmark: Theorem is valid
% 18.24/2.84  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.77/2.94  % Elapsed time: 2.563277 seconds
% 14.77/2.94  % CPU time: 18.803936 seconds
% 14.77/2.94  % Total memory used: 510.584 MB
% 14.77/2.94  % Net memory used: 499.126 MB
%------------------------------------------------------------------------------