↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+92 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n017.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 12:14:07 PM UTC 2026

% Result   : Theorem 12.30s 2.27s
% Output   : CNFRefutation 12.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   58 (  14 unt;   7 def)
%            Number of atoms       :  277 (   0 equ)
%            Maximal formula atoms :   96 (   4 avg)
%            Number of connectives :  321 ( 102   ~;  85   |; 125   &)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   96 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   25 (  24 usr;   8 prp; 0-4 aty)
%            Number of functors    :   37 (  37 usr;  35 con; 0-2 aty)
%            Number of variables   :   89 (  72   !;  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(c17915,varia_c)
    & refer(c17915,refer_c)
    & quant(c17915,quant_c)
    & gener(c17915,gener_c)
    & fact(c17915,real)
    & etype(c17915,etype_c)
    & card(c17915,card_c)
    & sort(c17915,ent)
    & sort(sauber_0,fe)
    & varia(familiename_1_1,varia_c)
    & refer(familiename_1_1,refer_c)
    & quant(familiename_1_1,one)
    & gener(familiename_1_1,ge)
    & fact(familiename_1_1,real)
    & etype(familiename_1_1,int0)
    & card(familiename_1_1,int1)
    & sort(familiename_1_1,na)
    & varia(mensch_1_1,varia_c)
    & refer(mensch_1_1,refer_c)
    & quant(mensch_1_1,one)
    & gener(mensch_1_1,ge)
    & fact(mensch_1_1,real)
    & etype(mensch_1_1,int0)
    & card(mensch_1_1,int1)
    & sort(mensch_1_1,d)
    & varia(c17770,varia_c)
    & refer(c17770,indet)
    & quant(c17770,one)
    & gener(c17770,sp)
    & fact(c17770,real)
    & etype(c17770,int0)
    & card(c17770,int1)
    & sort(c17770,na)
    & varia(c17769,con)
    & refer(c17769,det)
    & quant(c17769,one)
    & gener(c17769,sp)
    & fact(c17769,real)
    & etype(c17769,int0)
    & card(c17769,int1)
    & sort(c17769,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(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(c17760,varia_c)
    & refer(c17760,indet)
    & quant(c17760,one)
    & gener(c17760,sp)
    & fact(c17760,real)
    & etype(c17760,int0)
    & card(c17760,int1)
    & sort(c17760,na)
    & varia(c17729,varia_c)
    & refer(c17729,indet)
    & quant(c17729,one)
    & gener(c17729,sp)
    & fact(c17729,real)
    & etype(c17729,int0)
    & card(c17729,int1)
    & sort(c17729,na)
    & varia(c17728,con)
    & refer(c17728,det)
    & quant(c17728,one)
    & gener(c17728,sp)
    & fact(c17728,real)
    & etype(c17728,int0)
    & card(c17728,int1)
    & sort(c17728,io)
    & sort(c17728,d)
    & tupl_p4(c17915,c17728,c17728,c17769)
    & val(c17770,sauber_0)
    & sub(c17770,familiename_1_1)
    & sub(c17769,mensch_1_1)
    & attr(c17769,c17770)
    & val(c17760,bmw_0)
    & sub(c17760,name_1_1)
    & val(c17729,bmw_0)
    & sub(c17729,name_1_1)
    & sub(c17728,firma_1_1)
    & attr(c17728,c17760)
    & attr(c17728,c17729) ),
    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(f20818,plain,
    attr(c17728,c17729),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20819,plain,
    attr(c17728,c17760),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20820,plain,
    sub(c17728,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20821,plain,
    sub(c17729,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20823,plain,
    sub(c17760,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    val(c17760,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20949,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(f20950,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)],[f20949]) ).

fof(f20952,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(f20953,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20952]) ).

fof(f20955,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ~ attr(X4,X5) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f20956,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20955]) ).

fof(f20958,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f20949,f20952,f20955]) ).

fof(f20961,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20818,f20956]) ).

fof(f20962,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f20961]) ).

fof(f20963,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ val(c17760,bmw_0)
      | ~ sub(c17728,firma_1_1)
      | ~ sub(c17760,name_1_1)
      | ~ obj(X0,c17728) ),
    inference(resolution,[status(thm)],[f20819,f20950]) ).

fof(f20964,definition,
    ! [X0] :
      ( sQ3_spl
    <=> ~ obj(X0,c17728) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f20965,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ obj(X0,c17728) ),
    inference(component_clause,[status(thm)],[f20964]) ).

fof(f20967,definition,
    ( sQ4_spl
  <=> sub(c17760,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f20969,plain,
    ( sQ4_spl
    | ~ sub(c17760,name_1_1) ),
    inference(component_clause,[status(thm)],[f20967]) ).

fof(f20970,definition,
    ( sQ5_spl
  <=> sub(c17728,firma_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f20972,plain,
    ( sQ5_spl
    | ~ sub(c17728,firma_1_1) ),
    inference(component_clause,[status(thm)],[f20970]) ).

fof(f20973,definition,
    ( sQ6_spl
  <=> val(c17760,bmw_0) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f20975,plain,
    ( sQ6_spl
    | ~ val(c17760,bmw_0) ),
    inference(component_clause,[status(thm)],[f20973]) ).

fof(f20976,plain,
    ( ~ sQ0_spl
    | ~ sQ6_spl
    | ~ sQ5_spl
    | ~ sQ4_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f20963,f20964,f20967,f20970,f20973,f20949]) ).

fof(f20977,plain,
    ( sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20975,f20824]) ).

fof(f20978,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f20977]) ).

fof(f20979,plain,
    ( sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20972,f20820]) ).

fof(f20980,plain,
    sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f20979]) ).

fof(f20983,plain,
    ( ~ sQ1_spl
    | ~ val(c17760,bmw_0)
    | ~ sub(c17760,name_1_1) ),
    inference(resolution,[status(thm)],[f20953,f20819]) ).

fof(f20984,plain,
    ( ~ sQ1_spl
    | ~ sQ6_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f20983,f20967,f20973,f20952]) ).

fof(f20989,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20823,f20969]) ).

fof(f20990,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f20989]) ).

fof(f21000,plain,
    ! [X0,X1] :
      ( ~ sQ3_spl
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(c17728,X0) ),
    inference(resolution,[status(thm)],[f10702,f20965]) ).

fof(f21002,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sub(c17729,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21000,f20818]) ).

fof(f21004,plain,
    ( ~ sQ3_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21002,f20821]) ).

fof(f21006,plain,
    ( ~ sQ3_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21004,f10194]) ).

fof(f21007,plain,
    ( ~ sQ3_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f21006,f10194]) ).

fof(f21008,plain,
    ( ~ sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21007,f10191]) ).

fof(f21009,plain,
    ~ sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f21008]) ).

fof(f21010,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f20958,f20962,f20976,f20978,f20980,f20984,f20990,f21009]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+92 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  % Computer : n017.cluster.edu
% 0.18/0.45  % Model    : x86_64 x86_64
% 0.18/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45  % Memory   : 8046.5625MB
% 0.18/0.45  % OS       : Linux 6.8.0-71-generic
% 0.18/0.45  % CPULimit : 300
% 0.18/0.45  % WCLimit  : 300
% 0.18/0.45  % DateTime : Mon Sep 21 15:03:58 UTC 2026
% 0.18/0.45  % CPUTime  : 
% 0.40/0.67  % Drodi V4.1.1
% 12.30/2.27  % Refutation found
% 12.30/2.27  % SZS status Theorem for theBenchmark: Theorem is valid
% 12.30/2.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.17/2.45  % Elapsed time: 1.963400 seconds
% 8.17/2.45  % CPU time: 12.853583 seconds
% 8.17/2.45  % Total memory used: 478.429 MB
% 8.17/2.45  % Net memory used: 473.781 MB
%------------------------------------------------------------------------------