↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+32 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n005.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 12:13:58 PM UTC 2026

% Result   : Theorem 11.79s 2.03s
% Output   : CNFRefutation 11.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   67 (  13 unt;   8 def)
%            Number of atoms       :  312 (   0 equ)
%            Maximal formula atoms :  103 (   4 avg)
%            Number of connectives :  369 ( 124   ~; 101   |; 133   &)
%                                         (   8 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  103 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   28 (  27 usr;   9 prp; 0-4 aty)
%            Number of functors    :   38 (  38 usr;  36 con; 0-2 aty)
%            Number of variables   :  111 (  94   !;  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(f73,axiom,
    ! [X0,X1,X2] :
      ( ( sub(X1,X2)
        & sub(X0,X1) )
     => sub(X0,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(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(umh__374llung_1_1,varia_c)
    & refer(umh__374llung_1_1,refer_c)
    & quant(umh__374llung_1_1,one)
    & gener(umh__374llung_1_1,ge)
    & fact(umh__374llung_1_1,real)
    & etype(umh__374llung_1_1,int0)
    & card(umh__374llung_1_1,int1)
    & sort(umh__374llung_1_1,d)
    & varia(c344,varia_c)
    & refer(c344,refer_c)
    & quant(c344,quant_c)
    & gener(c344,gener_c)
    & fact(c344,real)
    & etype(c344,etype_c)
    & card(c344,card_c)
    & sort(c344,ent)
    & varia(gruppe_1_1,varia_c)
    & refer(gruppe_1_1,refer_c)
    & quant(gruppe_1_1,quant_c)
    & gener(gruppe_1_1,ge)
    & fact(gruppe_1_1,real)
    & etype(gruppe_1_1,int1)
    & card(gruppe_1_1,card_c)
    & sort(gruppe_1_1,d)
    & sort(franko_1_1,nq)
    & varia(c195,varia_c)
    & refer(c195,refer_c)
    & quant(c195,one)
    & gener(c195,gener_c)
    & fact(c195,real)
    & etype(c195,int1)
    & card(c195,int1)
    & sort(c195,d)
    & varia(vogel__1_1,varia_c)
    & refer(vogel__1_1,refer_c)
    & quant(vogel__1_1,one)
    & gener(vogel__1_1,ge)
    & fact(vogel__1_1,real)
    & etype(vogel__1_1,int0)
    & card(vogel__1_1,int1)
    & sort(vogel__1_1,d)
    & varia(c188,varia_c)
    & refer(c188,refer_c)
    & quant(c188,one)
    & gener(c188,gener_c)
    & fact(c188,real)
    & etype(c188,int0)
    & card(c188,int1)
    & sort(c188,d)
    & 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(verpackungsfirma_1_1,varia_c)
    & refer(verpackungsfirma_1_1,refer_c)
    & quant(verpackungsfirma_1_1,one)
    & gener(verpackungsfirma_1_1,ge)
    & fact(verpackungsfirma_1_1,real)
    & etype(verpackungsfirma_1_1,int0)
    & card(verpackungsfirma_1_1,int1)
    & sort(verpackungsfirma_1_1,io)
    & sort(verpackungsfirma_1_1,d)
    & varia(c187,varia_c)
    & refer(c187,det)
    & quant(c187,one)
    & gener(c187,sp)
    & fact(c187,real)
    & etype(c187,int0)
    & card(c187,int1)
    & sort(c187,na)
    & varia(c186,varia_c)
    & refer(c186,det)
    & quant(c186,one)
    & gener(c186,sp)
    & fact(c186,real)
    & etype(c186,int0)
    & card(c186,int1)
    & sort(c186,io)
    & sort(c186,d)
    & sub(verpackungsfirma_1_1,firma_1_1)
    & assoc(verpackungsfirma_1_1,umh__374llung_1_1)
    & tupl_p4(c344,c186,c188,c195)
    & sub(c195,gruppe_1_1)
    & prop(c195,franko_1_1)
    & sub(c188,vogel__1_1)
    & val(c187,bmw_0)
    & sub(c187,name_1_1)
    & sub(c186,verpackungsfirma_1_1)
    & attr(c186,c187) ),
    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(f10290,plain,
    ! [X0,X1,X2] :
      ( sub(X0,X2)
      | ~ sub(X1,X2)
      | ~ sub(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f73]) ).

fof(f10291,plain,
    ! [X0,X2] :
      ( sub(X0,X2)
      | ! [X1] :
          ( ~ sub(X1,X2)
          | ~ sub(X0,X1) ) ),
    inference(miniscoping,[status(thm)],[f10290]) ).

fof(f10292,plain,
    ! [X0,X1,X2] :
      ( sub(X0,X2)
      | ~ sub(X1,X2)
      | ~ sub(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10291]) ).

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(c186,c187),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20819,plain,
    sub(c186,verpackungsfirma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20820,plain,
    sub(c187,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20821,plain,
    val(c187,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    sub(verpackungsfirma_1_1,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20956,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(f20957,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)],[f20956]) ).

fof(f20959,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(f20960,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20959]) ).

fof(f20962,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ~ attr(X4,X5) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f20963,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20962]) ).

fof(f20965,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f20956,f20959,f20962]) ).

fof(f20970,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20818,f20963]) ).

fof(f20971,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f20970]) ).

fof(f20977,definition,
    ( sQ4_spl
  <=> sub(c187,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f20979,plain,
    ( sQ4_spl
    | ~ sub(c187,name_1_1) ),
    inference(component_clause,[status(thm)],[f20977]) ).

fof(f20981,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20979,f20820]) ).

fof(f20982,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f20981]) ).

fof(f20983,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c187,name_1_1)
      | ~ attr(X0,c187) ),
    inference(resolution,[status(thm)],[f20960,f20821]) ).

fof(f20984,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ~ attr(X0,c187) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f20985,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ attr(X0,c187) ),
    inference(component_clause,[status(thm)],[f20984]) ).

fof(f20987,plain,
    ( ~ sQ1_spl
    | ~ sQ4_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f20983,f20984,f20977,f20959]) ).

fof(f20988,plain,
    ( ~ sQ5_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20818,f20985]) ).

fof(f20989,plain,
    ~ sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f20988]) ).

fof(f20990,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sub(X0,firma_1_1)
      | ~ sub(c187,name_1_1)
      | ~ obj(X1,X0)
      | ~ attr(X0,c187) ),
    inference(resolution,[status(thm)],[f20957,f20821]) ).

fof(f20991,definition,
    ! [X0,X1] :
      ( sQ6_spl
    <=> ( ~ sub(X0,firma_1_1)
        | ~ obj(X1,X0)
        | ~ attr(X0,c187) ) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f20992,plain,
    ! [X0,X1] :
      ( ~ sQ6_spl
      | ~ sub(X0,firma_1_1)
      | ~ obj(X1,X0)
      | ~ attr(X0,c187) ),
    inference(component_clause,[status(thm)],[f20991]) ).

fof(f20994,plain,
    ( ~ sQ0_spl
    | ~ sQ4_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f20990,f20991,f20977,f20956]) ).

fof(f20997,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ sub(c186,firma_1_1)
      | ~ obj(X0,c186) ),
    inference(resolution,[status(thm)],[f20992,f20818]) ).

fof(f20998,definition,
    ! [X0] :
      ( sQ7_spl
    <=> ~ obj(X0,c186) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f20999,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ obj(X0,c186) ),
    inference(component_clause,[status(thm)],[f20998]) ).

fof(f21001,definition,
    ( sQ8_spl
  <=> sub(c186,firma_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f21003,plain,
    ( sQ8_spl
    | ~ sub(c186,firma_1_1) ),
    inference(component_clause,[status(thm)],[f21001]) ).

fof(f21004,plain,
    ( ~ sQ6_spl
    | ~ sQ8_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f20997,f20998,f21001,f20991]) ).

fof(f21005,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(c186,X0) ),
    inference(resolution,[status(thm)],[f20999,f10702]) ).

fof(f21006,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ sub(c187,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21005,f20818]) ).

fof(f21007,plain,
    ( ~ sQ7_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21006,f20820]) ).

fof(f21014,plain,
    ! [X0] :
      ( sQ8_spl
      | ~ sub(X0,firma_1_1)
      | ~ sub(c186,X0) ),
    inference(resolution,[status(thm)],[f21003,f10292]) ).

fof(f21015,plain,
    ( sQ8_spl
    | ~ sub(verpackungsfirma_1_1,firma_1_1) ),
    inference(resolution,[status(thm)],[f21014,f20819]) ).

fof(f21017,plain,
    ( sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21015,f20827]) ).

fof(f21018,plain,
    sQ8_spl,
    inference(contradiction_clause,[status(thm)],[f21017]) ).

fof(f21020,plain,
    ( ~ sQ7_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21007,f10194]) ).

fof(f21021,plain,
    ( ~ sQ7_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f21020,f10194]) ).

fof(f21022,plain,
    ( ~ sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21021,f10191]) ).

fof(f21023,plain,
    ~ sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f21022]) ).

fof(f21024,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f20965,f20971,f20982,f20987,f20989,f20994,f21004,f21018,f21023]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR115+32 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n005.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 15:06:19 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.22/0.50  % Drodi V4.1.1
% 11.79/2.03  % Refutation found
% 11.79/2.03  % SZS status Theorem for theBenchmark: Theorem is valid
% 11.79/2.03  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.55/2.12  % Elapsed time: 1.742973 seconds
% 2.55/2.12  % CPU time: 12.261112 seconds
% 2.55/2.12  % Total memory used: 489.189 MB
% 2.55/2.12  % Net memory used: 481.321 MB
%------------------------------------------------------------------------------