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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+61 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n003.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 12:14:02 PM UTC 2026

% Result   : Theorem 15.82s 2.56s
% Output   : CNFRefutation 13.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   60 (  12 unt;   8 def)
%            Number of atoms       :  338 (   0 equ)
%            Maximal formula atoms :  147 (   5 avg)
%            Number of connectives :  393 ( 115   ~;  92   |; 176   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  147 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   31 (  30 usr;   9 prp; 0-2 aty)
%            Number of functors    :   53 (  53 usr;  51 con; 0-2 aty)
%            Number of variables   :   98 (  81   !;  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(c10386,varia_c)
    & refer(c10386,det)
    & quant(c10386,quant_c)
    & gener(c10386,sp)
    & fact(c10386,real)
    & etype(c10386,etype_c)
    & card(c10386,card_c)
    & sort(c10386,co)
    & gener(c5,sp)
    & fact(c5,real)
    & sort(c5,st)
    & varia(re_1_1,varia_c)
    & refer(re_1_1,refer_c)
    & quant(re_1_1,one)
    & gener(re_1_1,sp)
    & fact(re_1_1,real)
    & etype(re_1_1,int0)
    & card(re_1_1,int1)
    & sort(re_1_1,t)
    & varia(future_0,varia_c)
    & refer(future_0,refer_c)
    & quant(future_0,one)
    & gener(future_0,sp)
    & fact(future_0,real)
    & etype(future_0,int0)
    & card(future_0,int1)
    & sort(future_0,t)
    & varia(bald_1_1,varia_c)
    & refer(bald_1_1,refer_c)
    & quant(bald_1_1,one)
    & gener(bald_1_1,sp)
    & fact(bald_1_1,real)
    & etype(bald_1_1,int0)
    & card(bald_1_1,int1)
    & sort(bald_1_1,t)
    & gener(befinden_1_2,ge)
    & fact(befinden_1_2,real)
    & sort(befinden_1_2,st)
    & gener(so_1_1,gener_c)
    & fact(so_1_1,real)
    & sort(so_1_1,md)
    & gener(c11981,sp)
    & fact(c11981,real)
    & sort(c11981,st)
    & sort(rover_0,fe)
    & varia(c11966,varia_c)
    & refer(c11966,indet)
    & quant(c11966,one)
    & gener(c11966,sp)
    & fact(c11966,real)
    & etype(c11966,int0)
    & card(c11966,int1)
    & sort(c11966,na)
    & gener(nehmen_1_7,ge)
    & fact(nehmen_1_7,real)
    & sort(nehmen_1_7,da)
    & varia(c11965,con)
    & refer(c11965,det)
    & quant(c11965,one)
    & gener(c11965,sp)
    & fact(c11965,real)
    & etype(c11965,int0)
    & card(c11965,int1)
    & sort(c11965,io)
    & sort(c11965,d)
    & gener(c11873,sp)
    & fact(c11873,real)
    & sort(c11873,da)
    & varia(marke_1_1,varia_c)
    & refer(marke_1_1,refer_c)
    & quant(marke_1_1,one)
    & gener(marke_1_1,ge)
    & fact(marke_1_1,real)
    & etype(marke_1_1,int0)
    & card(marke_1_1,int1)
    & sort(marke_1_1,oa)
    & sort(marke_1_1,io)
    & sort(britisch__1_1,nq)
    & varia(c11687,con)
    & refer(c11687,det)
    & quant(c11687,one)
    & gener(c11687,sp)
    & fact(c11687,real)
    & etype(c11687,int0)
    & card(c11687,int1)
    & sort(c11687,oa)
    & sort(c11687,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(c11683,varia_c)
    & refer(c11683,indet)
    & quant(c11683,one)
    & gener(c11683,sp)
    & fact(c11683,real)
    & etype(c11683,int0)
    & card(c11683,int1)
    & sort(c11683,na)
    & varia(c11682,con)
    & refer(c11682,det)
    & quant(c11682,one)
    & gener(c11682,sp)
    & fact(c11682,real)
    & etype(c11682,int0)
    & card(c11682,int1)
    & sort(c11682,io)
    & sort(c11682,d)
    & temp(c5,c11873)
    & subs(c5,befinden_1_2)
    & scar(c5,c10386)
    & modl(c5,so_1_1)
    & temp(c11981,re_1_1)
    & temp(c11981,future_0)
    & temp(c11981,bald_1_1)
    & subs(c11981,befinden_1_2)
    & semrel(c11981,c11873)
    & scar(c11981,c11682)
    & modl(c11981,so_1_1)
    & val(c11966,rover_0)
    & sub(c11966,name_1_1)
    & sub(c11965,firma_1_1)
    & attr(c11965,c11966)
    & subs(c11873,nehmen_1_7)
    & obj(c11873,c11687)
    & benf(c11873,c11682)
    & agt(c11873,c11965)
    & sub(c11687,marke_1_1)
    & prop(c11687,britisch__1_1)
    & val(c11683,bmw_0)
    & sub(c11683,name_1_1)
    & sub(c11682,firma_1_1)
    & attr(c11682,c11683) ),
    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(c11682,c11683),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20819,plain,
    sub(c11682,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20820,plain,
    sub(c11683,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20821,plain,
    val(c11683,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21000,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(f21001,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)],[f21000]) ).

fof(f21003,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(f21004,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21003]) ).

fof(f21006,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ~ attr(X4,X5) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21007,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21006]) ).

fof(f21009,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21000,f21003,f21006]) ).

fof(f21010,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20818,f21007]) ).

fof(f21011,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21010]) ).

fof(f21020,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c11683,name_1_1)
      | ~ attr(X0,c11683) ),
    inference(resolution,[status(thm)],[f21004,f20821]) ).

fof(f21021,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ~ attr(X0,c11683) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21022,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ attr(X0,c11683) ),
    inference(component_clause,[status(thm)],[f21021]) ).

fof(f21024,definition,
    ( sQ6_spl
  <=> sub(c11683,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21026,plain,
    ( sQ6_spl
    | ~ sub(c11683,name_1_1) ),
    inference(component_clause,[status(thm)],[f21024]) ).

fof(f21027,plain,
    ( ~ sQ1_spl
    | ~ sQ6_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f21020,f21021,f21024,f21003]) ).

fof(f21028,plain,
    ( sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21026,f20820]) ).

fof(f21029,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f21028]) ).

fof(f21030,plain,
    ( ~ sQ5_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20818,f21022]) ).

fof(f21031,plain,
    ~ sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21030]) ).

fof(f21032,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sub(X0,firma_1_1)
      | ~ sub(c11683,name_1_1)
      | ~ obj(X1,X0)
      | ~ attr(X0,c11683) ),
    inference(resolution,[status(thm)],[f21001,f20821]) ).

fof(f21033,definition,
    ! [X0,X1] :
      ( sQ7_spl
    <=> ( ~ sub(X0,firma_1_1)
        | ~ obj(X1,X0)
        | ~ attr(X0,c11683) ) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f21034,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sub(X0,firma_1_1)
      | ~ obj(X1,X0)
      | ~ attr(X0,c11683) ),
    inference(component_clause,[status(thm)],[f21033]) ).

fof(f21036,plain,
    ( ~ sQ0_spl
    | ~ sQ6_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f21032,f21033,f21024,f21000]) ).

fof(f21037,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ sub(c11682,firma_1_1)
      | ~ obj(X0,c11682) ),
    inference(resolution,[status(thm)],[f21034,f20818]) ).

fof(f21038,definition,
    ! [X0] :
      ( sQ8_spl
    <=> ~ obj(X0,c11682) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f21039,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ obj(X0,c11682) ),
    inference(component_clause,[status(thm)],[f21038]) ).

fof(f21041,definition,
    ( sQ9_spl
  <=> sub(c11682,firma_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f21043,plain,
    ( sQ9_spl
    | ~ sub(c11682,firma_1_1) ),
    inference(component_clause,[status(thm)],[f21041]) ).

fof(f21044,plain,
    ( ~ sQ7_spl
    | ~ sQ9_spl
    | sQ8_spl ),
    inference(split_clause,[status(thm)],[f21037,f21038,f21041,f21033]) ).

fof(f21045,plain,
    ! [X0,X1] :
      ( ~ sQ8_spl
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(c11682,X0) ),
    inference(resolution,[status(thm)],[f21039,f10702]) ).

fof(f21046,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ sub(c11683,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21045,f20818]) ).

fof(f21047,plain,
    ( ~ sQ8_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21046,f20820]) ).

fof(f21049,plain,
    ( ~ sQ8_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21047,f10194]) ).

fof(f21050,plain,
    ( ~ sQ8_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f21049,f10194]) ).

fof(f21051,plain,
    ( ~ sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21050,f10191]) ).

fof(f21052,plain,
    ~ sQ8_spl,
    inference(contradiction_clause,[status(thm)],[f21051]) ).

fof(f21053,plain,
    ( sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21043,f20819]) ).

fof(f21054,plain,
    sQ9_spl,
    inference(contradiction_clause,[status(thm)],[f21053]) ).

fof(f21055,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21009,f21011,f21027,f21029,f21031,f21036,f21044,f21052,f21054]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+61 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n003.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 15:09:01 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.12/0.48  % Drodi V4.1.1
% 15.82/2.56  % Refutation found
% 15.82/2.56  % SZS status Theorem for theBenchmark: Theorem is valid
% 15.82/2.56  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.65/2.65  % Elapsed time: 2.281694 seconds
% 13.65/2.65  % CPU time: 16.566610 seconds
% 13.65/2.65  % Total memory used: 499.545 MB
% 13.65/2.65  % Net memory used: 491.183 MB
%------------------------------------------------------------------------------