↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+15 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n008.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 12:13:55 PM UTC 2026

% Result   : Theorem 18.44s 3.11s
% Output   : CNFRefutation 19.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   65 (  11 unt;  10 def)
%            Number of atoms       :  332 (   0 equ)
%            Maximal formula atoms :  127 (   5 avg)
%            Number of connectives :  389 ( 122   ~;  99   |; 156   &)
%                                         (  10 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  127 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   30 (  29 usr;  11 prp; 0-5 aty)
%            Number of functors    :   43 (  43 usr;  41 con; 0-2 aty)
%            Number of variables   :  100 (  83   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X0,X2)
     => member(X0,cons(X1,X2)) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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(bahn_1_1,varia_c)
    & refer(bahn_1_1,refer_c)
    & quant(bahn_1_1,one)
    & gener(bahn_1_1,ge)
    & fact(bahn_1_1,real)
    & etype(bahn_1_1,int0)
    & card(bahn_1_1,int1)
    & sort(bahn_1_1,io)
    & varia(info_2_1,varia_c)
    & refer(info_2_1,refer_c)
    & quant(info_2_1,one)
    & gener(info_2_1,ge)
    & fact(info_2_1,real)
    & etype(info_2_1,int0)
    & card(info_2_1,int1)
    & sort(info_2_1,io)
    & sort(info_2_1,d)
    & varia(c1439,varia_c)
    & refer(c1439,refer_c)
    & quant(c1439,quant_c)
    & gener(c1439,gener_c)
    & fact(c1439,real)
    & etype(c1439,etype_c)
    & card(c1439,card_c)
    & sort(c1439,ent)
    & sort(bmw_0,fe)
    & varia(c1133,varia_c)
    & refer(c1133,indet)
    & quant(c1133,one)
    & gener(c1133,sp)
    & fact(c1133,real)
    & etype(c1133,int0)
    & card(c1133,int1)
    & sort(c1133,na)
    & varia(c1132,con)
    & refer(c1132,det)
    & quant(c1132,one)
    & gener(c1132,sp)
    & fact(c1132,real)
    & etype(c1132,int0)
    & card(c1132,int1)
    & sort(c1132,io)
    & sort(c1132,d)
    & 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(c1121,varia_c)
    & refer(c1121,refer_c)
    & quant(c1121,one)
    & gener(c1121,gener_c)
    & fact(c1121,real)
    & etype(c1121,int0)
    & card(c1121,int1)
    & sort(c1121,io)
    & sort(c1121,d)
    & sort(usa_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(land_1_1,varia_c)
    & refer(land_1_1,refer_c)
    & quant(land_1_1,one)
    & gener(land_1_1,ge)
    & fact(land_1_1,real)
    & etype(land_1_1,int0)
    & card(land_1_1,int1)
    & sort(land_1_1,io)
    & sort(land_1_1,d)
    & sort(klein_1_1,mq)
    & varia(c1120,varia_c)
    & refer(c1120,indet)
    & quant(c1120,one)
    & gener(c1120,sp)
    & fact(c1120,real)
    & etype(c1120,int0)
    & card(c1120,int1)
    & sort(c1120,na)
    & varia(c1119,con)
    & refer(c1119,indet)
    & quant(c1119,one)
    & gener(c1119,sp)
    & fact(c1119,real)
    & etype(c1119,int0)
    & card(c1119,int1)
    & sort(c1119,io)
    & sort(c1119,d)
    & varia(infobahn_1_1,varia_c)
    & refer(infobahn_1_1,refer_c)
    & quant(infobahn_1_1,one)
    & gener(infobahn_1_1,ge)
    & fact(infobahn_1_1,real)
    & etype(infobahn_1_1,int0)
    & card(infobahn_1_1,int1)
    & sort(infobahn_1_1,io)
    & varia(c1089,con)
    & refer(c1089,det)
    & quant(c1089,one)
    & gener(c1089,sp)
    & fact(c1089,real)
    & etype(c1089,int0)
    & card(c1089,int1)
    & sort(c1089,io)
    & sub(infobahn_1_1,bahn_1_1)
    & assoc(infobahn_1_1,info_2_1)
    & tupl_p5(c1439,c1089,c1119,c1121,c1132)
    & val(c1133,bmw_0)
    & sub(c1133,name_1_1)
    & sub(c1132,firma_1_1)
    & attr(c1132,c1133)
    & sub(c1121,firma_1_1)
    & val(c1120,usa_0)
    & sub(c1120,name_1_1)
    & sub(c1119,land_1_1)
    & prop(c1119,klein_1_1)
    & attr(c1119,c1120)
    & sub(c1089,infobahn_1_1) ),
    file('/export/starexec/sandbox2/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(f20825,plain,
    attr(c1132,c1133),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    sub(c1132,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    sub(c1133,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20828,plain,
    val(c1133,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20980,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(f20981,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)],[f20980]) ).

fof(f20983,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(f20984,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20983]) ).

fof(f20986,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ~ attr(X4,X5) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f20987,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20986]) ).

fof(f20989,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f20980,f20983,f20986]) ).

fof(f20992,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20825,f20987]) ).

fof(f20993,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f20992]) ).

fof(f20994,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sub(X0,firma_1_1)
      | ~ sub(c1133,name_1_1)
      | ~ obj(X1,X0)
      | ~ attr(X0,c1133) ),
    inference(resolution,[status(thm)],[f20981,f20828]) ).

fof(f20995,definition,
    ! [X0,X1] :
      ( sQ3_spl
    <=> ( ~ sub(X0,firma_1_1)
        | ~ obj(X1,X0)
        | ~ attr(X0,c1133) ) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f20996,plain,
    ! [X0,X1] :
      ( ~ sQ3_spl
      | ~ sub(X0,firma_1_1)
      | ~ obj(X1,X0)
      | ~ attr(X0,c1133) ),
    inference(component_clause,[status(thm)],[f20995]) ).

fof(f20998,definition,
    ( sQ4_spl
  <=> sub(c1133,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21000,plain,
    ( sQ4_spl
    | ~ sub(c1133,name_1_1) ),
    inference(component_clause,[status(thm)],[f20998]) ).

fof(f21001,plain,
    ( ~ sQ0_spl
    | ~ sQ4_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f20994,f20995,f20998,f20980]) ).

fof(f21002,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21000,f20827]) ).

fof(f21003,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21002]) ).

fof(f21004,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c1133,name_1_1)
      | ~ attr(X0,c1133) ),
    inference(resolution,[status(thm)],[f20984,f20828]) ).

fof(f21005,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ~ attr(X0,c1133) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21006,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ attr(X0,c1133) ),
    inference(component_clause,[status(thm)],[f21005]) ).

fof(f21008,plain,
    ( ~ sQ1_spl
    | ~ sQ4_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f21004,f21005,f20998,f20983]) ).

fof(f21009,plain,
    ( ~ sQ5_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20825,f21006]) ).

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

fof(f21014,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sub(c1132,firma_1_1)
      | ~ obj(X0,c1132) ),
    inference(resolution,[status(thm)],[f20996,f20825]) ).

fof(f21015,definition,
    ! [X0] :
      ( sQ6_spl
    <=> ~ obj(X0,c1132) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21016,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ obj(X0,c1132) ),
    inference(component_clause,[status(thm)],[f21015]) ).

fof(f21018,definition,
    ( sQ7_spl
  <=> sub(c1132,firma_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f21020,plain,
    ( sQ7_spl
    | ~ sub(c1132,firma_1_1) ),
    inference(component_clause,[status(thm)],[f21018]) ).

fof(f21021,plain,
    ( ~ sQ3_spl
    | ~ sQ7_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f21014,f21015,f21018,f20995]) ).

fof(f21023,plain,
    ! [X0] :
      ( obj(sK51_skl(c1132),c1132)
      | ~ sub(c1133,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f10702,f20825]) ).

fof(f21024,definition,
    ! [X0] :
      ( sQ8_spl
    <=> ( ~ sub(c1133,X0)
        | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f21025,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ sub(c1133,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(component_clause,[status(thm)],[f21024]) ).

fof(f21027,definition,
    ( sQ9_spl
  <=> obj(sK51_skl(c1132),c1132) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f21028,plain,
    ( ~ sQ9_spl
    | obj(sK51_skl(c1132),c1132) ),
    inference(component_clause,[status(thm)],[f21027]) ).

fof(f21030,plain,
    ( sQ9_spl
    | sQ8_spl ),
    inference(split_clause,[status(thm)],[f21023,f21024,f21027]) ).

fof(f21031,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ member(X0,cons(familiename_1_1,cons(name_1_1,nil)))
      | ~ sub(c1133,X0) ),
    inference(resolution,[status(thm)],[f21025,f10194]) ).

fof(f21033,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ member(X0,cons(name_1_1,nil))
      | ~ sub(c1133,X0) ),
    inference(resolution,[status(thm)],[f21031,f10194]) ).

fof(f21036,plain,
    ( ~ sQ8_spl
    | ~ sub(c1133,name_1_1) ),
    inference(resolution,[status(thm)],[f21033,f10191]) ).

fof(f21037,plain,
    ( ~ sQ8_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f21036,f20998,f21024]) ).

fof(f21038,plain,
    ( ~ sQ9_spl
    | ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21028,f21016]) ).

fof(f21039,plain,
    ( ~ sQ9_spl
    | ~ sQ6_spl ),
    inference(contradiction_clause,[status(thm)],[f21038]) ).

fof(f21040,plain,
    ( sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21020,f20826]) ).

fof(f21041,plain,
    sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f21040]) ).

fof(f21042,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f20989,f20993,f21001,f21003,f21008,f21010,f21021,f21030,f21037,f21039,f21041]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR115+15 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  % Computer : n008.cluster.edu
% 0.18/0.46  % Model    : x86_64 x86_64
% 0.18/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46  % Memory   : 8046.5625MB
% 0.18/0.46  % OS       : Linux 6.8.0-71-generic
% 0.18/0.46  % CPULimit : 300
% 0.18/0.46  % WCLimit  : 300
% 0.18/0.46  % DateTime : Mon Sep 21 15:06:24 UTC 2026
% 0.18/0.47  % CPUTime  : 
% 0.43/0.68  % Drodi V4.1.1
% 18.44/3.11  % Refutation found
% 18.44/3.11  % SZS status Theorem for theBenchmark: Theorem is valid
% 18.44/3.11  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.17/3.29  % Elapsed time: 2.796092 seconds
% 8.17/3.29  % CPU time: 19.401040 seconds
% 8.17/3.29  % Total memory used: 482.299 MB
% 8.17/3.29  % Net memory used: 476.206 MB
%------------------------------------------------------------------------------