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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+68 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/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 12:14:03 PM UTC 2026

% Result   : Theorem 13.17s 2.30s
% Output   : CNFRefutation 14.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   60 (  13 unt;   8 def)
%            Number of atoms       :  340 (   0 equ)
%            Maximal formula atoms :  144 (   5 avg)
%            Number of connectives :  396 ( 116   ~;  97   |; 173   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  144 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   30 (  29 usr;   9 prp; 0-5 aty)
%            Number of functors    :   50 (  50 usr;  48 con; 0-2 aty)
%            Number of variables   :   97 (  80   !;  17   ?)

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

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X0,X2)
     => member(X0,cons(X1,X2)) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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,
    ( card(zw__366lf_1_1,int12)
    & sort(zw__366lf_1_1,nu)
    & varia(walze_1_1,varia_c)
    & refer(walze_1_1,refer_c)
    & quant(walze_1_1,one)
    & gener(walze_1_1,ge)
    & fact(walze_1_1,real)
    & etype(walze_1_1,int0)
    & card(walze_1_1,int1)
    & sort(walze_1_1,d)
    & varia(sport__1_1,varia_c)
    & refer(sport__1_1,refer_c)
    & quant(sport__1_1,one)
    & gener(sport__1_1,ge)
    & fact(sport__1_1,real)
    & etype(sport__1_1,int0)
    & card(sport__1_1,int1)
    & sort(sport__1_1,ad)
    & varia(c218,varia_c)
    & refer(c218,refer_c)
    & quant(c218,quant_c)
    & gener(c218,gener_c)
    & fact(c218,real)
    & etype(c218,etype_c)
    & card(c218,card_c)
    & sort(c218,ent)
    & varia(gmbh__1_1,varia_c)
    & refer(gmbh__1_1,refer_c)
    & quant(gmbh__1_1,quant_c)
    & gener(gmbh__1_1,ge)
    & fact(gmbh__1_1,real)
    & etype(gmbh__1_1,int1)
    & card(gmbh__1_1,card_c)
    & sort(gmbh__1_1,io)
    & sort(gmbh__1_1,d)
    & varia(c149,varia_c)
    & refer(c149,refer_c)
    & quant(c149,one)
    & gener(c149,gener_c)
    & fact(c149,real)
    & etype(c149,int1)
    & card(c149,int1)
    & sort(c149,io)
    & sort(c149,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(c148,varia_c)
    & refer(c148,indet)
    & quant(c148,one)
    & gener(c148,sp)
    & fact(c148,real)
    & etype(c148,int0)
    & card(c148,int1)
    & sort(c148,na)
    & varia(c147,con)
    & refer(c147,det)
    & quant(c147,one)
    & gener(c147,sp)
    & fact(c147,real)
    & etype(c147,int0)
    & card(c147,int1)
    & sort(c147,io)
    & sort(c147,d)
    & varia(gehsport_1_1,varia_c)
    & refer(gehsport_1_1,refer_c)
    & quant(gehsport_1_1,one)
    & gener(gehsport_1_1,ge)
    & fact(gehsport_1_1,real)
    & etype(gehsport_1_1,int0)
    & card(gehsport_1_1,int1)
    & sort(gehsport_1_1,ad)
    & varia(c145,varia_c)
    & refer(c145,refer_c)
    & quant(c145,one)
    & gener(c145,gener_c)
    & fact(c145,real)
    & etype(c145,int0)
    & card(c145,int1)
    & sort(c145,ad)
    & sort(leistungsgesteigerten_1_1,gq)
    & varia(zw__366lfzylindermotor_1_1,varia_c)
    & refer(zw__366lfzylindermotor_1_1,refer_c)
    & quant(zw__366lfzylindermotor_1_1,one)
    & gener(zw__366lfzylindermotor_1_1,ge)
    & fact(zw__366lfzylindermotor_1_1,real)
    & etype(zw__366lfzylindermotor_1_1,int0)
    & card(zw__366lfzylindermotor_1_1,int1)
    & sort(zw__366lfzylindermotor_1_1,d)
    & varia(c130,varia_c)
    & refer(c130,det)
    & quant(c130,mult)
    & gener(c130,sp)
    & fact(c130,real)
    & etype(c130,int1)
    & card(c130,cons(x_constant,cons(int1,nil)))
    & sort(c130,d)
    & varia(motor__1_1,varia_c)
    & refer(motor__1_1,refer_c)
    & quant(motor__1_1,one)
    & gener(motor__1_1,ge)
    & fact(motor__1_1,real)
    & etype(motor__1_1,int0)
    & card(motor__1_1,int1)
    & sort(motor__1_1,d)
    & varia(c123,con)
    & refer(c123,det)
    & quant(c123,mult)
    & gener(c123,sp)
    & fact(c123,real)
    & etype(c123,int1)
    & card(c123,cons(x_constant,cons(int1,nil)))
    & sort(c123,d)
    & sub(zw__366lfzylindermotor_1_1,motor__1_1)
    & assoc(zw__366lfzylindermotor_1_1,zw__366lf_1_1)
    & assoc(zw__366lfzylindermotor_1_1,walze_1_1)
    & subs(gehsport_1_1,sport__1_1)
    & assoc(gehsport_1_1,motor__1_1)
    & tupl_p5(c218,c123,c130,c145,c149)
    & sub(c149,gmbh__1_1)
    & val(c148,bmw_0)
    & sub(c148,name_1_1)
    & sub(c147,firma_1_1)
    & attr(c147,c148)
    & attch(c147,c130)
    & subs(c145,gehsport_1_1)
    & prop(c130,leistungsgesteigerten_1_1)
    & pred(c130,zw__366lfzylindermotor_1_1)
    & pred(c123,motor__1_1) ),
    file('/export/starexec/sandbox/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(f20823,plain,
    attr(c147,c148),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    sub(c147,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    sub(c148,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    val(c148,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20997,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(f20998,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)],[f20997]) ).

fof(f21000,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(f21001,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21000]) ).

fof(f21003,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ~ attr(X4,X5) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21004,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21003]) ).

fof(f21006,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f20997,f21000,f21003]) ).

fof(f21007,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20823,f21004]) ).

fof(f21008,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21007]) ).

fof(f21009,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ0_spl
      | ~ val(X3,bmw_0)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X3,name_1_1)
      | ~ attr(X0,X3)
      | ~ sub(X1,X2)
      | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f10702,f20998]) ).

fof(f21016,definition,
    ( sQ4_spl
  <=> sub(c148,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21018,plain,
    ( sQ4_spl
    | ~ sub(c148,name_1_1) ),
    inference(component_clause,[status(thm)],[f21016]) ).

fof(f21020,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21018,f20825]) ).

fof(f21021,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21020]) ).

fof(f21022,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c148,name_1_1)
      | ~ attr(X0,c148) ),
    inference(resolution,[status(thm)],[f21001,f20826]) ).

fof(f21023,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ~ attr(X0,c148) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21024,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ attr(X0,c148) ),
    inference(component_clause,[status(thm)],[f21023]) ).

fof(f21026,plain,
    ( ~ sQ1_spl
    | ~ sQ4_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f21022,f21023,f21016,f21000]) ).

fof(f21027,plain,
    ( ~ sQ5_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20823,f21024]) ).

fof(f21028,plain,
    ~ sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21027]) ).

fof(f21030,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ val(c148,bmw_0)
      | ~ sub(c147,firma_1_1)
      | ~ sub(c148,name_1_1)
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(c147,X0) ),
    inference(resolution,[status(thm)],[f20823,f21009]) ).

fof(f21032,definition,
    ! [X0,X1] :
      ( sQ6_spl
    <=> ( ~ sub(X0,X1)
        | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(c147,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21033,plain,
    ! [X0,X1] :
      ( ~ sQ6_spl
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(c147,X0) ),
    inference(component_clause,[status(thm)],[f21032]) ).

fof(f21035,definition,
    ( sQ7_spl
  <=> sub(c147,firma_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f21037,plain,
    ( sQ7_spl
    | ~ sub(c147,firma_1_1) ),
    inference(component_clause,[status(thm)],[f21035]) ).

fof(f21039,definition,
    ( sQ8_spl
  <=> val(c148,bmw_0) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f21041,plain,
    ( sQ8_spl
    | ~ val(c148,bmw_0) ),
    inference(component_clause,[status(thm)],[f21039]) ).

fof(f21042,plain,
    ( ~ sQ0_spl
    | ~ sQ8_spl
    | ~ sQ7_spl
    | ~ sQ4_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f21030,f21032,f21016,f21035,f21039,f20997]) ).

fof(f21047,plain,
    ( sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21037,f20824]) ).

fof(f21048,plain,
    sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f21047]) ).

fof(f21049,plain,
    ( sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21041,f20826]) ).

fof(f21050,plain,
    sQ8_spl,
    inference(contradiction_clause,[status(thm)],[f21049]) ).

fof(f21052,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ sub(c148,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21033,f20823]) ).

fof(f21053,plain,
    ( ~ sQ6_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21052,f20825]) ).

fof(f21055,plain,
    ( ~ sQ6_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21053,f10194]) ).

fof(f21056,plain,
    ( ~ sQ6_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f21055,f10194]) ).

fof(f21057,plain,
    ( ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21056,f10191]) ).

fof(f21058,plain,
    ~ sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f21057]) ).

fof(f21059,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21006,f21008,f21021,f21026,f21028,f21042,f21048,f21050,f21058]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR115+68 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n005.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 15:07:48 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.13/0.42  % Drodi V4.1.1
% 13.17/2.30  % Refutation found
% 13.17/2.30  % SZS status Theorem for theBenchmark: Theorem is valid
% 13.17/2.30  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.48/2.48  % Elapsed time: 2.104883 seconds
% 5.48/2.48  % CPU time: 15.006634 seconds
% 5.48/2.48  % Total memory used: 489.080 MB
% 5.48/2.48  % Net memory used: 483.302 MB
%------------------------------------------------------------------------------