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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+71 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n006.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 12:14:04 PM UTC 2026

% Result   : Theorem 12.62s 2.30s
% Output   : CNFRefutation 13.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   66 (  13 unt;  10 def)
%            Number of atoms       :  324 (   0 equ)
%            Maximal formula atoms :  125 (   4 avg)
%            Number of connectives :  369 ( 111   ~;  92   |; 154   &)
%                                         (  10 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  125 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   32 (  31 usr;  11 prp; 0-2 aty)
%            Number of functors    :   44 (  44 usr;  42 con; 0-2 aty)
%            Number of variables   :   92 (  75   !;  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,
    ( gener(darlegen_1_1,ge)
    & fact(darlegen_1_1,real)
    & sort(darlegen_1_1,da)
    & gener(sollen_0,gener_c)
    & fact(sollen_0,real)
    & sort(sollen_0,md)
    & gener(c21,sp)
    & fact(c21,real)
    & sort(c21,da)
    & varia(vorzeitigkeit_1_1,varia_c)
    & refer(vorzeitigkeit_1_1,refer_c)
    & quant(vorzeitigkeit_1_1,one)
    & gener(vorzeitigkeit_1_1,ge)
    & fact(vorzeitigkeit_1_1,real)
    & etype(vorzeitigkeit_1_1,int0)
    & card(vorzeitigkeit_1_1,int1)
    & sort(vorzeitigkeit_1_1,ta)
    & varia(c1585,con)
    & refer(c1585,det)
    & quant(c1585,one)
    & gener(c1585,sp)
    & fact(c1585,real)
    & etype(c1585,int0)
    & card(c1585,int1)
    & sort(c1585,ta)
    & varia(gegenwart__1_1,varia_c)
    & refer(gegenwart__1_1,refer_c)
    & quant(gegenwart__1_1,one)
    & gener(gegenwart__1_1,ge)
    & fact(gegenwart__1_1,real)
    & etype(gegenwart__1_1,int0)
    & card(gegenwart__1_1,int1)
    & sort(gegenwart__1_1,ta)
    & varia(historie_1_1,varia_c)
    & refer(historie_1_1,refer_c)
    & quant(historie_1_1,one)
    & gener(historie_1_1,ge)
    & fact(historie_1_1,real)
    & etype(historie_1_1,int0)
    & card(historie_1_1,int1)
    & sort(historie_1_1,ta)
    & 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(c1566,varia_c)
    & refer(c1566,indet)
    & quant(c1566,one)
    & gener(c1566,sp)
    & fact(c1566,real)
    & etype(c1566,int0)
    & card(c1566,int1)
    & sort(c1566,na)
    & varia(c1576,con)
    & refer(c1576,det)
    & quant(c1576,one)
    & gener(c1576,sp)
    & fact(c1576,real)
    & etype(c1576,int0)
    & card(c1576,int1)
    & sort(c1576,ta)
    & varia(entwicklung_1_2,varia_c)
    & refer(entwicklung_1_2,refer_c)
    & quant(entwicklung_1_2,one)
    & gener(entwicklung_1_2,ge)
    & fact(entwicklung_1_2,real)
    & etype(entwicklung_1_2,int0)
    & card(entwicklung_1_2,int1)
    & sort(entwicklung_1_2,ad)
    & sort(technisch__1_1,nq)
    & varia(c1569,con)
    & refer(c1569,det)
    & quant(c1569,one)
    & gener(c1569,sp)
    & fact(c1569,real)
    & etype(c1569,int0)
    & card(c1569,int1)
    & sort(c1569,ta)
    & varia(c1565,con)
    & refer(c1565,det)
    & quant(c1565,one)
    & gener(c1565,sp)
    & fact(c1565,real)
    & etype(c1565,int0)
    & card(c1565,int1)
    & sort(c1565,io)
    & sort(c1565,d)
    & varia(c1371,con)
    & refer(c1371,det)
    & quant(c1371,one)
    & gener(c1371,sp)
    & fact(c1371,real)
    & etype(c1371,int0)
    & card(c1371,int1)
    & sort(c1371,ad)
    & temp(c21,c1585)
    & subs(c21,darlegen_1_1)
    & obj(c21,c1371)
    & modl(c21,sollen_0)
    & sub(c1585,vorzeitigkeit_1_1)
    & sub(c1576,gegenwart__1_1)
    & sub(c1569,historie_1_1)
    & val(c1566,bmw_0)
    & sub(c1566,name_1_1)
    & sub(c1565,firma_1_1)
    & attr(c1565,c1566)
    & temp(c1371,c1576)
    & subs(c1371,entwicklung_1_2)
    & prop(c1371,technisch__1_1)
    & init(c1371,c1569)
    & aff(c1371,c1565) ),
    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(f20823,plain,
    attr(c1565,c1566),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    sub(c1565,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    sub(c1566,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    val(c1566,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20978,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(f20979,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)],[f20978]) ).

fof(f20981,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(f20982,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20981]) ).

fof(f20984,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ~ attr(X4,X5) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f20985,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20984]) ).

fof(f20987,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f20978,f20981,f20984]) ).

fof(f20990,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20823,f20985]) ).

fof(f20991,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f20990]) ).

fof(f20993,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ val(c1566,bmw_0)
      | ~ sub(c1565,firma_1_1)
      | ~ sub(c1566,name_1_1)
      | ~ obj(X0,c1565) ),
    inference(resolution,[status(thm)],[f20823,f20979]) ).

fof(f20994,definition,
    ! [X0] :
      ( sQ3_spl
    <=> ~ obj(X0,c1565) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f20995,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ obj(X0,c1565) ),
    inference(component_clause,[status(thm)],[f20994]) ).

fof(f20997,definition,
    ( sQ4_spl
  <=> sub(c1566,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f20999,plain,
    ( sQ4_spl
    | ~ sub(c1566,name_1_1) ),
    inference(component_clause,[status(thm)],[f20997]) ).

fof(f21000,definition,
    ( sQ5_spl
  <=> sub(c1565,firma_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21002,plain,
    ( sQ5_spl
    | ~ sub(c1565,firma_1_1) ),
    inference(component_clause,[status(thm)],[f21000]) ).

fof(f21003,definition,
    ( sQ6_spl
  <=> val(c1566,bmw_0) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21005,plain,
    ( sQ6_spl
    | ~ val(c1566,bmw_0) ),
    inference(component_clause,[status(thm)],[f21003]) ).

fof(f21006,plain,
    ( ~ sQ0_spl
    | ~ sQ6_spl
    | ~ sQ5_spl
    | ~ sQ4_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f20993,f20994,f20997,f21000,f21003,f20978]) ).

fof(f21007,plain,
    ( sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21005,f20826]) ).

fof(f21008,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f21007]) ).

fof(f21009,plain,
    ( sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21002,f20824]) ).

fof(f21010,plain,
    sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21009]) ).

fof(f21011,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20999,f20825]) ).

fof(f21012,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21011]) ).

fof(f21014,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c1566,name_1_1)
      | ~ attr(X0,c1566) ),
    inference(resolution,[status(thm)],[f20982,f20826]) ).

fof(f21015,definition,
    ! [X0] :
      ( sQ7_spl
    <=> ~ attr(X0,c1566) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f21016,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ attr(X0,c1566) ),
    inference(component_clause,[status(thm)],[f21015]) ).

fof(f21018,plain,
    ( ~ sQ1_spl
    | ~ sQ4_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f21014,f21015,f20997,f20981]) ).

fof(f21019,plain,
    ( ~ sQ7_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20823,f21016]) ).

fof(f21020,plain,
    ~ sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f21019]) ).

fof(f21026,plain,
    ! [X0] :
      ( obj(sK51_skl(c1565),c1565)
      | ~ sub(c1566,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f10702,f20823]) ).

fof(f21027,definition,
    ! [X0] :
      ( sQ9_spl
    <=> ( ~ sub(c1566,X0)
        | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f21028,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | ~ sub(c1566,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(component_clause,[status(thm)],[f21027]) ).

fof(f21030,definition,
    ( sQ10_spl
  <=> obj(sK51_skl(c1565),c1565) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f21031,plain,
    ( ~ sQ10_spl
    | obj(sK51_skl(c1565),c1565) ),
    inference(component_clause,[status(thm)],[f21030]) ).

fof(f21033,plain,
    ( sQ10_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f21026,f21027,f21030]) ).

fof(f21034,plain,
    ( ~ sQ9_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21028,f20825]) ).

fof(f21036,plain,
    ( ~ sQ9_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21034,f10194]) ).

fof(f21037,plain,
    ( ~ sQ9_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f21036,f10194]) ).

fof(f21038,plain,
    ( ~ sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21037,f10191]) ).

fof(f21039,plain,
    ~ sQ9_spl,
    inference(contradiction_clause,[status(thm)],[f21038]) ).

fof(f21040,plain,
    ( ~ sQ10_spl
    | ~ sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21031,f20995]) ).

fof(f21041,plain,
    ( ~ sQ10_spl
    | ~ sQ3_spl ),
    inference(contradiction_clause,[status(thm)],[f21040]) ).

fof(f21042,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f20987,f20991,f21006,f21008,f21010,f21012,f21018,f21020,f21033,f21039,f21041]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR115+71 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.51  % Computer : n006.cluster.edu
% 0.09/0.51  % Model    : x86_64 x86_64
% 0.09/0.51  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51  % Memory   : 8046.5625MB
% 0.09/0.51  % OS       : Linux 6.8.0-71-generic
% 0.09/0.51  % CPULimit : 300
% 0.09/0.51  % WCLimit  : 300
% 0.09/0.51  % DateTime : Mon Sep 21 15:07:45 UTC 2026
% 0.09/0.51  % CPUTime  : 
% 0.24/0.64  % Drodi V4.1.1
% 12.62/2.30  % Refutation found
% 12.62/2.30  % SZS status Theorem for theBenchmark: Theorem is valid
% 12.62/2.30  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.03/2.39  % Elapsed time: 1.873324 seconds
% 13.03/2.39  % CPU time: 13.321222 seconds
% 13.03/2.39  % Total memory used: 493.600 MB
% 13.03/2.39  % Net memory used: 485.855 MB
%------------------------------------------------------------------------------