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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+21 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n015.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 12:13:56 PM UTC 2026

% Result   : Theorem 24.44s 3.82s
% Output   : CNFRefutation 25.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   37 (   9 unt;   6 def)
%            Number of atoms       :  246 (   0 equ)
%            Maximal formula atoms :  135 (   6 avg)
%            Number of connectives :  281 (  72   ~;  55   |; 148   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  135 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   30 (  29 usr;   7 prp; 0-2 aty)
%            Number of functors    :   43 (  43 usr;  43 con; 0-0 aty)
%            Number of variables   :   59 (  45   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( val(X2,bmw_0)
      & val(X1,bmw_0)
      & sub(X2,name_1_1)
      & sub(X1,name_1_1)
      & attr(X5,X6)
      & attr(X3,X2)
      & attr(X0,X1)
      & agt(X4,X3) ),
    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(X1,name_1_1)
        & attr(X5,X6)
        & attr(X3,X2)
        & attr(X0,X1)
        & agt(X4,X3) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( gener(val_0,gener_c)
    & fact(val_0,real)
    & sort(val_0,st)
    & gener(zulegen_1_1,ge)
    & fact(zulegen_1_1,real)
    & sort(zulegen_1_1,da)
    & gener(just_1_1,gener_c)
    & fact(just_1_1,real)
    & sort(just_1_1,md)
    & gener(c816,sp)
    & fact(c816,real)
    & sort(c816,da)
    & 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(c814,varia_c)
    & refer(c814,det)
    & quant(c814,one)
    & gener(c814,sp)
    & fact(c814,real)
    & etype(c814,int0)
    & card(c814,int1)
    & sort(c814,io)
    & sort(c814,d)
    & varia(wert_1_1,varia_c)
    & refer(wert_1_1,refer_c)
    & quant(wert_1_1,one)
    & gener(wert_1_1,ge)
    & fact(wert_1_1,real)
    & etype(wert_1_1,int0)
    & card(wert_1_1,int1)
    & sort(wert_1_1,oa)
    & sort(wert_1_1,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(k__344ufer_1_1,varia_c)
    & refer(k__344ufer_1_1,refer_c)
    & quant(k__344ufer_1_1,one)
    & gener(k__344ufer_1_1,ge)
    & fact(k__344ufer_1_1,real)
    & etype(k__344ufer_1_1,int0)
    & card(k__344ufer_1_1,int1)
    & sort(k__344ufer_1_1,io)
    & sort(k__344ufer_1_1,d)
    & varia(c718,varia_c)
    & refer(c718,indet)
    & quant(c718,one)
    & gener(c718,sp)
    & fact(c718,real)
    & etype(c718,int0)
    & card(c718,int1)
    & sort(c718,na)
    & varia(c717,con)
    & refer(c717,det)
    & quant(c717,one)
    & gener(c717,sp)
    & fact(c717,real)
    & etype(c717,int0)
    & card(c717,int1)
    & sort(c717,io)
    & sort(c717,d)
    & gener(gewinnen_1_2,ge)
    & fact(gewinnen_1_2,real)
    & sort(gewinnen_1_2,dn)
    & gener(c821,sp)
    & fact(c821,real)
    & sort(c821,st)
    & sort(enorm_1_1,nq)
    & gener(c822,sp)
    & fact(c822,real)
    & sort(c822,st)
    & gener(c537,sp)
    & fact(c537,real)
    & sort(c537,dn)
    & varia(papier_1_1,varia_c)
    & refer(papier_1_1,refer_c)
    & quant(papier_1_1,one)
    & gener(papier_1_1,ge)
    & fact(papier_1_1,real)
    & etype(papier_1_1,int0)
    & card(papier_1_1,int1)
    & sort(papier_1_1,s)
    & varia(c802,varia_c)
    & refer(c802,refer_c)
    & quant(c802,one)
    & gener(c802,gener_c)
    & fact(c802,real)
    & etype(c802,int0)
    & card(c802,int1)
    & sort(c802,oa)
    & sort(c802,io)
    & varia(c5,con)
    & refer(c5,det)
    & quant(c5,one)
    & gener(c5,sp)
    & fact(c5,real)
    & etype(c5,int0)
    & card(c5,int1)
    & sort(c5,s)
    & subr(c822,val_0)
    & arg1(c822,c802)
    & subr(c821,val_0)
    & arg1(c821,c802)
    & subs(c816,zulegen_1_1)
    & reas(c816,c537)
    & obj(c816,c814)
    & modl(c816,just_1_1)
    & agt(c816,c717)
    & sub(c814,firma_1_1)
    & sub(c802,wert_1_1)
    & val(c718,bmw_0)
    & sub(c718,name_1_1)
    & sub(c717,k__344ufer_1_1)
    & attr(c717,c718)
    & attch(c717,c5)
    & subs(c537,gewinnen_1_2)
    & rslt(c537,c821)
    & mannr(c537,enorm_1_1)
    & init(c537,c822)
    & aff(c537,c5)
    & sub(c5,papier_1_1)
    & attr(c5,c802) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ val(X2,bmw_0)
      | ~ val(X1,bmw_0)
      | ~ sub(X2,name_1_1)
      | ~ sub(X1,name_1_1)
      | ~ attr(X5,X6)
      | ~ attr(X3,X2)
      | ~ attr(X0,X1)
      | ~ agt(X4,X3) ),
    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)
          | ~ sub(X1,name_1_1)
          | ! [X5,X6] : ~ attr(X5,X6)
          | ! [X3] :
              ( ~ attr(X3,X2)
              | ! [X0] : ~ attr(X0,X1)
              | ! [X4] : ~ agt(X4,X3) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ val(X4,bmw_0)
      | ~ val(X3,bmw_0)
      | ~ sub(X4,name_1_1)
      | ~ sub(X3,name_1_1)
      | ~ attr(X5,X6)
      | ~ attr(X1,X4)
      | ~ attr(X2,X3)
      | ~ agt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20826,plain,
    attr(c717,c718),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20828,plain,
    sub(c718,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20829,plain,
    val(c718,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20832,plain,
    agt(c816,c717),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20988,definition,
    ! [X0,X1,X4] :
      ( sQ0_spl
    <=> ( ~ val(X4,bmw_0)
        | ~ sub(X4,name_1_1)
        | ~ attr(X1,X4)
        | ~ agt(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f20989,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ val(X2,bmw_0)
      | ~ sub(X2,name_1_1)
      | ~ attr(X1,X2)
      | ~ agt(X0,X1) ),
    inference(component_clause,[status(thm)],[f20988]) ).

fof(f20991,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(f20992,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20991]) ).

fof(f20994,definition,
    ! [X5,X6] :
      ( sQ2_spl
    <=> ~ attr(X5,X6) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f20995,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20994]) ).

fof(f20997,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f20988,f20991,f20994]) ).

fof(f21231,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20826,f20995]) ).

fof(f21232,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21231]) ).

fof(f21285,definition,
    ( sQ21_spl
  <=> sub(c718,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f21287,plain,
    ( sQ21_spl
    | ~ sub(c718,name_1_1) ),
    inference(component_clause,[status(thm)],[f21285]) ).

fof(f21315,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sub(c718,name_1_1)
      | ~ attr(X1,c718)
      | ~ agt(X0,X1) ),
    inference(resolution,[status(thm)],[f20989,f20829]) ).

fof(f21316,definition,
    ! [X0,X1] :
      ( sQ24_spl
    <=> ( ~ attr(X1,c718)
        | ~ agt(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f21317,plain,
    ! [X0,X1] :
      ( ~ sQ24_spl
      | ~ attr(X1,c718)
      | ~ agt(X0,X1) ),
    inference(component_clause,[status(thm)],[f21316]) ).

fof(f21319,plain,
    ( ~ sQ0_spl
    | ~ sQ21_spl
    | sQ24_spl ),
    inference(split_clause,[status(thm)],[f21315,f21316,f21285,f20988]) ).

fof(f21320,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ agt(X0,c717) ),
    inference(resolution,[status(thm)],[f21317,f20826]) ).

fof(f21321,plain,
    ( ~ sQ24_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20832,f21320]) ).

fof(f21324,plain,
    ~ sQ24_spl,
    inference(contradiction_clause,[status(thm)],[f21321]) ).

fof(f21325,plain,
    ( sQ21_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21287,f20828]) ).

fof(f21326,plain,
    sQ21_spl,
    inference(contradiction_clause,[status(thm)],[f21325]) ).

fof(f21327,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c718,name_1_1)
      | ~ attr(X0,c718) ),
    inference(resolution,[status(thm)],[f20992,f20829]) ).

fof(f21328,definition,
    ! [X0] :
      ( sQ25_spl
    <=> ~ attr(X0,c718) ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f21329,plain,
    ! [X0] :
      ( ~ sQ25_spl
      | ~ attr(X0,c718) ),
    inference(component_clause,[status(thm)],[f21328]) ).

fof(f21331,plain,
    ( ~ sQ1_spl
    | ~ sQ21_spl
    | sQ25_spl ),
    inference(split_clause,[status(thm)],[f21327,f21328,f21285,f20991]) ).

fof(f21332,plain,
    ( ~ sQ25_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20826,f21329]) ).

fof(f21333,plain,
    ~ sQ25_spl,
    inference(contradiction_clause,[status(thm)],[f21332]) ).

fof(f21334,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f20997,f21232,f21319,f21324,f21326,f21331,f21333]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR115+21 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  % Computer : n015.cluster.edu
% 0.20/0.46  % Model    : x86_64 x86_64
% 0.20/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46  % Memory   : 8046.5625MB
% 0.20/0.46  % OS       : Linux 6.8.0-71-generic
% 0.20/0.46  % CPULimit : 300
% 0.20/0.46  % WCLimit  : 300
% 0.20/0.46  % DateTime : Mon Sep 21 15:09:07 UTC 2026
% 0.20/0.47  % CPUTime  : 
% 0.24/0.65  % Drodi V4.1.1
% 24.44/3.82  % Refutation found
% 24.44/3.82  % SZS status Theorem for theBenchmark: Theorem is valid
% 24.44/3.82  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.39/3.96  % Elapsed time: 3.473234 seconds
% 4.39/3.96  % CPU time: 25.384104 seconds
% 4.39/3.96  % Total memory used: 508.317 MB
% 4.39/3.96  % Net memory used: 496.539 MB
%------------------------------------------------------------------------------