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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+52 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/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 12:14:01 PM UTC 2026

% Result   : Theorem 18.28s 2.88s
% Output   : CNFRefutation 18.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   42 (  11 unt;   7 def)
%            Number of atoms       :  275 (   0 equ)
%            Maximal formula atoms :  147 (   6 avg)
%            Number of connectives :  313 (  80   ~;  64   |; 162   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  147 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   8 prp; 0-2 aty)
%            Number of functors    :   40 (  40 usr;  40 con; 0-0 aty)
%            Number of variables   :   55 (  41   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( val(X2,bmw_0)
      & val(X1,bmw_0)
      & subs(X4,n374bernehmen_1_1)
      & 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/sandbox2/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6] :
        ( val(X2,bmw_0)
        & val(X1,bmw_0)
        & subs(X4,n374bernehmen_1_1)
        & 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,
    ( sort(rover_0,fe)
    & sort(britisch__1_1,nq)
    & sort(altbew__344hrt_1_1,ql)
    & varia(c219,varia_c)
    & refer(c219,indet)
    & quant(c219,one)
    & gener(c219,sp)
    & fact(c219,real)
    & etype(c219,int0)
    & card(c219,int1)
    & sort(c219,na)
    & sort(bmw_0,fe)
    & sort(m__374nchner_1_1,gq)
    & varia(c166,varia_c)
    & refer(c166,indet)
    & quant(c166,one)
    & gener(c166,sp)
    & fact(c166,real)
    & etype(c166,int0)
    & card(c166,int1)
    & sort(c166,na)
    & gener(n374bernehmen_1_1,ge)
    & fact(n374bernehmen_1_1,real)
    & sort(n374bernehmen_1_1,da)
    & varia(c218,con)
    & refer(c218,det)
    & quant(c218,one)
    & gener(c218,sp)
    & fact(c218,real)
    & etype(c218,int0)
    & card(c218,int1)
    & sort(c218,io)
    & sort(c218,d)
    & varia(c165,con)
    & refer(c165,det)
    & quant(c165,one)
    & gener(c165,sp)
    & fact(c165,real)
    & etype(c165,int0)
    & card(c165,int1)
    & sort(c165,io)
    & sort(c165,d)
    & gener(c163,sp)
    & fact(c163,real)
    & sort(c163,da)
    & sort(m__374nchen_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(stadt__1_1,varia_c)
    & refer(stadt__1_1,refer_c)
    & quant(stadt__1_1,one)
    & gener(stadt__1_1,ge)
    & fact(stadt__1_1,real)
    & etype(stadt__1_1,int0)
    & card(stadt__1_1,int1)
    & sort(stadt__1_1,io)
    & sort(stadt__1_1,d)
    & varia(c1,varia_c)
    & refer(c1,det)
    & quant(c1,one)
    & gener(c1,sp)
    & fact(c1,real)
    & etype(c1,int0)
    & card(c1,int1)
    & sort(c1,na)
    & varia(c0,varia_c)
    & refer(c0,det)
    & quant(c0,one)
    & gener(c0,sp)
    & fact(c0,real)
    & etype(c0,int0)
    & card(c0,int1)
    & sort(c0,io)
    & sort(c0,d)
    & varia(unternehmen_1_1,varia_c)
    & refer(unternehmen_1_1,refer_c)
    & quant(unternehmen_1_1,one)
    & gener(unternehmen_1_1,ge)
    & fact(unternehmen_1_1,real)
    & etype(unternehmen_1_1,int0)
    & card(unternehmen_1_1,int1)
    & sort(unternehmen_1_1,io)
    & sort(unternehmen_1_1,d)
    & varia(autounternehmen_1_1,varia_c)
    & refer(autounternehmen_1_1,refer_c)
    & quant(autounternehmen_1_1,one)
    & gener(autounternehmen_1_1,ge)
    & fact(autounternehmen_1_1,real)
    & etype(autounternehmen_1_1,int0)
    & card(autounternehmen_1_1,int1)
    & sort(autounternehmen_1_1,io)
    & sort(autounternehmen_1_1,d)
    & varia(firmengruppe_1_1,varia_c)
    & refer(firmengruppe_1_1,refer_c)
    & quant(firmengruppe_1_1,one)
    & gener(firmengruppe_1_1,ge)
    & fact(firmengruppe_1_1,real)
    & etype(firmengruppe_1_1,int0)
    & card(firmengruppe_1_1,int1)
    & sort(firmengruppe_1_1,io)
    & sort(firmengruppe_1_1,d)
    & varia(auto__1_1,varia_c)
    & refer(auto__1_1,refer_c)
    & quant(auto__1_1,one)
    & gener(auto__1_1,ge)
    & fact(auto__1_1,real)
    & etype(auto__1_1,int0)
    & card(auto__1_1,int1)
    & sort(auto__1_1,d)
    & varia(autokonzern_1_1,varia_c)
    & refer(autokonzern_1_1,refer_c)
    & quant(autokonzern_1_1,one)
    & gener(autokonzern_1_1,ge)
    & fact(autokonzern_1_1,real)
    & etype(autokonzern_1_1,int0)
    & card(autokonzern_1_1,int1)
    & sort(autokonzern_1_1,io)
    & sort(autokonzern_1_1,d)
    & assoc(m__374nchner_1_1,c0)
    & val(c219,rover_0)
    & sub(c219,name_1_1)
    & sub(c218,autounternehmen_1_1)
    & prop(c218,britisch__1_1)
    & prop(c218,altbew__344hrt_1_1)
    & attr(c218,c219)
    & val(c166,bmw_0)
    & sub(c166,name_1_1)
    & sub(c165,autokonzern_1_1)
    & prop(c165,m__374nchner_1_1)
    & attr(c165,c166)
    & subs(c163,n374bernehmen_1_1)
    & obj(c163,c218)
    & agt(c163,c165)
    & val(c1,m__374nchen_0)
    & sub(c1,name_1_1)
    & sub(c0,stadt__1_1)
    & attr(c0,c1)
    & sub(autounternehmen_1_1,unternehmen_1_1)
    & assoc(autounternehmen_1_1,auto__1_1)
    & sub(autokonzern_1_1,firmengruppe_1_1)
    & assoc(autokonzern_1_1,auto__1_1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ val(X2,bmw_0)
      | ~ val(X1,bmw_0)
      | ~ subs(X4,n374bernehmen_1_1)
      | ~ 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)
          | ! [X4] :
              ( ~ subs(X4,n374bernehmen_1_1)
              | ~ sub(X2,name_1_1)
              | ~ sub(X1,name_1_1)
              | ! [X5,X6] : ~ attr(X5,X6)
              | ! [X3] :
                  ( ~ attr(X3,X2)
                  | ! [X0] : ~ attr(X0,X1)
                  | ~ 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)
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ 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,
    agt(c163,c165),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20828,plain,
    subs(c163,n374bernehmen_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20829,plain,
    attr(c165,c166),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20832,plain,
    sub(c166,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20833,plain,
    val(c166,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21000,definition,
    ! [X0,X1,X4] :
      ( sQ0_spl
    <=> ( ~ val(X4,bmw_0)
        | ~ subs(X0,n374bernehmen_1_1)
        | ~ sub(X4,name_1_1)
        | ~ attr(X1,X4)
        | ~ agt(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21001,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ val(X2,bmw_0)
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(X2,name_1_1)
      | ~ attr(X1,X2)
      | ~ agt(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,
    ! [X5,X6] :
      ( sQ2_spl
    <=> ~ attr(X5,X6) ),
    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(f21129,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20829,f21007]) ).

fof(f21130,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21129]) ).

fof(f21174,definition,
    ( sQ26_spl
  <=> sub(c166,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f21176,plain,
    ( sQ26_spl
    | ~ sub(c166,name_1_1) ),
    inference(component_clause,[status(thm)],[f21174]) ).

fof(f21463,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ val(c166,bmw_0)
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(c166,name_1_1)
      | ~ agt(X0,c165) ),
    inference(resolution,[status(thm)],[f20829,f21001]) ).

fof(f21464,definition,
    ! [X0] :
      ( sQ48_spl
    <=> ( ~ subs(X0,n374bernehmen_1_1)
        | ~ agt(X0,c165) ) ),
    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).

fof(f21465,plain,
    ! [X0] :
      ( ~ sQ48_spl
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ agt(X0,c165) ),
    inference(component_clause,[status(thm)],[f21464]) ).

fof(f21467,definition,
    ( sQ49_spl
  <=> val(c166,bmw_0) ),
    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).

fof(f21469,plain,
    ( sQ49_spl
    | ~ val(c166,bmw_0) ),
    inference(component_clause,[status(thm)],[f21467]) ).

fof(f21470,plain,
    ( ~ sQ0_spl
    | ~ sQ49_spl
    | ~ sQ26_spl
    | sQ48_spl ),
    inference(split_clause,[status(thm)],[f21463,f21464,f21174,f21467,f21000]) ).

fof(f21471,plain,
    ( sQ49_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21469,f20833]) ).

fof(f21472,plain,
    sQ49_spl,
    inference(contradiction_clause,[status(thm)],[f21471]) ).

fof(f21473,plain,
    ( ~ sQ48_spl
    | ~ agt(c163,c165) ),
    inference(resolution,[status(thm)],[f21465,f20828]) ).

fof(f21475,plain,
    ( ~ sQ48_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21473,f20826]) ).

fof(f21476,plain,
    ~ sQ48_spl,
    inference(contradiction_clause,[status(thm)],[f21475]) ).

fof(f21477,plain,
    ( sQ26_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21176,f20832]) ).

fof(f21478,plain,
    sQ26_spl,
    inference(contradiction_clause,[status(thm)],[f21477]) ).

fof(f21481,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c166,name_1_1)
      | ~ attr(X0,c166) ),
    inference(resolution,[status(thm)],[f21004,f20833]) ).

fof(f21482,definition,
    ! [X0] :
      ( sQ50_spl
    <=> ~ attr(X0,c166) ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f21483,plain,
    ! [X0] :
      ( ~ sQ50_spl
      | ~ attr(X0,c166) ),
    inference(component_clause,[status(thm)],[f21482]) ).

fof(f21485,plain,
    ( ~ sQ1_spl
    | ~ sQ26_spl
    | sQ50_spl ),
    inference(split_clause,[status(thm)],[f21481,f21482,f21174,f21003]) ).

fof(f21486,plain,
    ( ~ sQ50_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20829,f21483]) ).

fof(f21487,plain,
    ~ sQ50_spl,
    inference(contradiction_clause,[status(thm)],[f21486]) ).

fof(f21488,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21009,f21130,f21470,f21472,f21476,f21478,f21485,f21487]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+52 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34  % Computer : n003.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8046.5625MB
% 0.07/0.34  % OS       : Linux 6.8.0-71-generic
% 0.07/0.34  % CPULimit : 300
% 0.07/0.34  % WCLimit  : 300
% 0.07/0.34  % DateTime : Mon Sep 21 15:08:17 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.23/0.48  % Drodi V4.1.1
% 18.28/2.88  % Refutation found
% 18.28/2.88  % SZS status Theorem for theBenchmark: Theorem is valid
% 18.28/2.88  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 18.50/2.95  % Elapsed time: 2.593638 seconds
% 18.50/2.95  % CPU time: 19.005925 seconds
% 18.50/2.95  % Total memory used: 490.377 MB
% 18.50/2.95  % Net memory used: 484.036 MB
%------------------------------------------------------------------------------