↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+51 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n001.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 15.85s 2.83s
% Output   : CNFRefutation 15.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   41 (  12 unt;   6 def)
%            Number of atoms       :  278 (   0 equ)
%            Maximal formula atoms :  147 (   6 avg)
%            Number of connectives :  320 (  83   ~;  71   |; 160   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  147 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   23 (  22 usr;   7 prp; 0-2 aty)
%            Number of functors    :   40 (  40 usr;  40 con; 0-0 aty)
%            Number of variables   :   54 (  42   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5] :
      ( val(X1,bmw_0)
      & subs(X3,n374bernehmen_1_1)
      & sub(X1,name_1_1)
      & prop(X0,britisch__1_1)
      & obj(X3,X0)
      & attr(X4,X5)
      & attr(X2,X1)
      & agt(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5] :
        ( val(X1,bmw_0)
        & subs(X3,n374bernehmen_1_1)
        & sub(X1,name_1_1)
        & prop(X0,britisch__1_1)
        & obj(X3,X0)
        & attr(X4,X5)
        & attr(X2,X1)
        & agt(X3,X2) ),
    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/sandbox/benchmark/theBenchmark.p') ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ val(X1,bmw_0)
      | ~ subs(X3,n374bernehmen_1_1)
      | ~ sub(X1,name_1_1)
      | ~ prop(X0,britisch__1_1)
      | ~ obj(X3,X0)
      | ~ attr(X4,X5)
      | ~ attr(X2,X1)
      | ~ agt(X3,X2) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X1] :
      ( ~ val(X1,bmw_0)
      | ! [X3] :
          ( ~ subs(X3,n374bernehmen_1_1)
          | ~ sub(X1,name_1_1)
          | ! [X0] :
              ( ~ prop(X0,britisch__1_1)
              | ~ obj(X3,X0)
              | ! [X4,X5] : ~ attr(X4,X5)
              | ! [X2] :
                  ( ~ attr(X2,X1)
                  | ~ agt(X3,X2) ) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ val(X2,bmw_0)
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(X2,name_1_1)
      | ~ prop(X5,britisch__1_1)
      | ~ obj(X0,X5)
      | ~ attr(X3,X4)
      | ~ attr(X1,X2)
      | ~ agt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20826,plain,
    agt(c163,c165),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    obj(c163,c218),
    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(f20836,plain,
    prop(c218,britisch__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21000,definition,
    ! [X0,X1,X2,X5] :
      ( sQ0_spl
    <=> ( ~ val(X2,bmw_0)
        | ~ subs(X0,n374bernehmen_1_1)
        | ~ sub(X2,name_1_1)
        | ~ prop(X5,britisch__1_1)
        | ~ obj(X0,X5)
        | ~ attr(X1,X2)
        | ~ agt(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21001,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ0_spl
      | ~ val(X2,bmw_0)
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(X2,name_1_1)
      | ~ prop(X3,britisch__1_1)
      | ~ obj(X0,X3)
      | ~ attr(X1,X2)
      | ~ agt(X0,X1) ),
    inference(component_clause,[status(thm)],[f21000]) ).

fof(f21003,definition,
    ! [X3,X4] :
      ( sQ1_spl
    <=> ~ attr(X3,X4) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

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

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

fof(f21012,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(c166,name_1_1)
      | ~ prop(X2,britisch__1_1)
      | ~ obj(X0,X2)
      | ~ attr(X1,c166)
      | ~ agt(X0,X1) ),
    inference(resolution,[status(thm)],[f20833,f21001]) ).

fof(f21013,definition,
    ! [X0,X1,X2] :
      ( sQ2_spl
    <=> ( ~ subs(X0,n374bernehmen_1_1)
        | ~ prop(X2,britisch__1_1)
        | ~ obj(X0,X2)
        | ~ attr(X1,c166)
        | ~ agt(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21014,plain,
    ! [X0,X1,X2] :
      ( ~ sQ2_spl
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ prop(X2,britisch__1_1)
      | ~ obj(X0,X2)
      | ~ attr(X1,c166)
      | ~ agt(X0,X1) ),
    inference(component_clause,[status(thm)],[f21013]) ).

fof(f21016,definition,
    ( sQ3_spl
  <=> sub(c166,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f21018,plain,
    ( sQ3_spl
    | ~ sub(c166,name_1_1) ),
    inference(component_clause,[status(thm)],[f21016]) ).

fof(f21019,plain,
    ( ~ sQ0_spl
    | ~ sQ3_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f21012,f21013,f21016,f21000]) ).

fof(f21052,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20829,f21004]) ).

fof(f21053,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21052]) ).

fof(f21154,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ prop(X1,britisch__1_1)
      | ~ obj(X0,X1)
      | ~ agt(X0,c165) ),
    inference(resolution,[status(thm)],[f20829,f21014]) ).

fof(f21157,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ obj(X0,c218)
      | ~ agt(X0,c165) ),
    inference(resolution,[status(thm)],[f21154,f20836]) ).

fof(f21158,plain,
    ( ~ sQ2_spl
    | ~ subs(c163,n374bernehmen_1_1)
    | ~ agt(c163,c165) ),
    inference(resolution,[status(thm)],[f21157,f20827]) ).

fof(f21160,definition,
    ( sQ16_spl
  <=> agt(c163,c165) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f21162,plain,
    ( sQ16_spl
    | ~ agt(c163,c165) ),
    inference(component_clause,[status(thm)],[f21160]) ).

fof(f21163,definition,
    ( sQ17_spl
  <=> subs(c163,n374bernehmen_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f21165,plain,
    ( sQ17_spl
    | ~ subs(c163,n374bernehmen_1_1) ),
    inference(component_clause,[status(thm)],[f21163]) ).

fof(f21166,plain,
    ( ~ sQ2_spl
    | ~ sQ17_spl
    | ~ sQ16_spl ),
    inference(split_clause,[status(thm)],[f21158,f21160,f21163,f21013]) ).

fof(f21167,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21018,f20832]) ).

fof(f21168,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f21167]) ).

fof(f21169,plain,
    ( sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21162,f20826]) ).

fof(f21170,plain,
    sQ16_spl,
    inference(contradiction_clause,[status(thm)],[f21169]) ).

fof(f21171,plain,
    ( sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21165,f20828]) ).

fof(f21172,plain,
    sQ17_spl,
    inference(contradiction_clause,[status(thm)],[f21171]) ).

fof(f21173,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21006,f21019,f21053,f21166,f21168,f21170,f21172]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR115+51 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.72  % Computer : n001.cluster.edu
% 0.10/0.72  % Model    : x86_64 x86_64
% 0.10/0.72  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.72  % Memory   : 8046.5625MB
% 0.10/0.72  % OS       : Linux 6.8.0-71-generic
% 0.10/0.72  % CPULimit : 300
% 0.10/0.73  % WCLimit  : 300
% 0.10/0.73  % DateTime : Mon Sep 21 15:12:15 UTC 2026
% 0.10/0.73  % CPUTime  : 
% 0.10/0.79  % Drodi V4.1.1
% 15.85/2.83  % Refutation found
% 15.85/2.83  % SZS status Theorem for theBenchmark: Theorem is valid
% 15.85/2.83  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.00/2.92  % Elapsed time: 2.186402 seconds
% 4.00/2.92  % CPU time: 16.364165 seconds
% 4.00/2.92  % Total memory used: 489.212 MB
% 4.00/2.92  % Net memory used: 482.432 MB
%------------------------------------------------------------------------------