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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+85 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n009.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 12:14:06 PM UTC 2026

% Result   : Theorem 230.81s 29.76s
% Output   : CNFRefutation 216.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   63 (  14 unt;   8 def)
%            Number of atoms       :  431 (   0 equ)
%            Maximal formula atoms :  227 (   6 avg)
%            Number of connectives :  492 ( 124   ~; 100   |; 258   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  227 (   9 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   27 (  26 usr;   9 prp; 0-12 aty)
%            Number of functors    :   62 (  62 usr;  60 con; 0-2 aty)
%            Number of variables   :   98 (  81   !;  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(X6,jahr__1_1)
      & 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(X6,jahr__1_1)
        & 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(wagen_1_1,varia_c)
    & refer(wagen_1_1,refer_c)
    & quant(wagen_1_1,one)
    & gener(wagen_1_1,ge)
    & fact(wagen_1_1,real)
    & etype(wagen_1_1,int0)
    & card(wagen_1_1,int1)
    & sort(wagen_1_1,d)
    & varia(brite_1_1,varia_c)
    & refer(brite_1_1,refer_c)
    & quant(brite_1_1,one)
    & gener(brite_1_1,ge)
    & fact(brite_1_1,real)
    & etype(brite_1_1,int0)
    & card(brite_1_1,int1)
    & sort(brite_1_1,d)
    & varia(c2169,varia_c)
    & refer(c2169,det)
    & quant(c2169,one)
    & gener(c2169,sp)
    & fact(c2169,real)
    & etype(c2169,int0)
    & card(c2169,int1)
    & sort(c2169,o)
    & varia(c954,varia_c)
    & refer(c954,det)
    & quant(c954,one)
    & gener(c954,sp)
    & fact(c954,real)
    & etype(c954,int0)
    & card(c954,int1)
    & sort(c954,o)
    & varia(c948,con)
    & refer(c948,det)
    & quant(c948,one)
    & gener(c948,sp)
    & fact(c948,real)
    & etype(c948,int0)
    & card(c948,int1)
    & sort(c948,d)
    & varia(c2326,varia_c)
    & refer(c2326,refer_c)
    & quant(c2326,quant_c)
    & gener(c2326,gener_c)
    & fact(c2326,real)
    & etype(c2326,etype_c)
    & card(c2326,card_c)
    & sort(c2326,ent)
    & 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(c2214,varia_c)
    & refer(c2214,indet)
    & quant(c2214,mult)
    & gener(c2214,gener_c)
    & fact(c2214,real)
    & etype(c2214,int1)
    & card(c2214,cons(x_constant,cons(int1,nil)))
    & sort(c2214,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(c2213,varia_c)
    & refer(c2213,indet)
    & quant(c2213,one)
    & gener(c2213,sp)
    & fact(c2213,real)
    & etype(c2213,int0)
    & card(c2213,int1)
    & sort(c2213,na)
    & varia(c2212,con)
    & refer(c2212,det)
    & quant(c2212,one)
    & gener(c2212,sp)
    & fact(c2212,real)
    & etype(c2212,int0)
    & card(c2212,int1)
    & sort(c2212,io)
    & sort(c2212,d)
    & card(c2201,int1934)
    & sort(c2201,nu)
    & varia(jahr__1_1,varia_c)
    & refer(jahr__1_1,refer_c)
    & quant(jahr__1_1,quant_c)
    & gener(jahr__1_1,ge)
    & fact(jahr__1_1,real)
    & etype(jahr__1_1,etype_c)
    & card(jahr__1_1,card_c)
    & sort(jahr__1_1,ta)
    & sort(jahr__1_1,oa)
    & sort(jahr__1_1,me)
    & varia(c2205,varia_c)
    & refer(c2205,refer_c)
    & quant(c2205,quant_c)
    & gener(c2205,sp)
    & fact(c2205,real)
    & etype(c2205,etype_c)
    & card(c2205,card_c)
    & sort(c2205,ta)
    & sort(c2205,oa)
    & sort(c2205,me)
    & varia(c2204,con)
    & refer(c2204,det)
    & quant(c2204,one)
    & gener(c2204,sp)
    & fact(c2204,real)
    & etype(c2204,int0)
    & card(c2204,int1)
    & sort(c2204,t)
    & 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(c2196,varia_c)
    & refer(c2196,det)
    & quant(c2196,one)
    & gener(c2196,sp)
    & fact(c2196,real)
    & etype(c2196,int0)
    & card(c2196,int1)
    & sort(c2196,io)
    & sort(c2196,d)
    & sort(nash_0,fe)
    & varia(c2187,varia_c)
    & refer(c2187,indet)
    & quant(c2187,one)
    & gener(c2187,sp)
    & fact(c2187,real)
    & etype(c2187,int0)
    & card(c2187,int1)
    & sort(c2187,na)
    & varia(c2186,con)
    & refer(c2186,det)
    & quant(c2186,one)
    & gener(c2186,sp)
    & fact(c2186,real)
    & etype(c2186,int0)
    & card(c2186,int1)
    & sort(c2186,d)
    & sort(frazer_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(c2182,varia_c)
    & refer(c2182,indet)
    & quant(c2182,one)
    & gener(c2182,sp)
    & fact(c2182,real)
    & etype(c2182,int0)
    & card(c2182,int1)
    & sort(c2182,na)
    & varia(c2181,con)
    & refer(c2181,det)
    & quant(c2181,one)
    & gener(c2181,sp)
    & fact(c2181,real)
    & etype(c2181,int0)
    & card(c2181,int1)
    & sort(c2181,d)
    & varia(lizenz__1_1,varia_c)
    & refer(lizenz__1_1,refer_c)
    & quant(lizenz__1_1,one)
    & gener(lizenz__1_1,ge)
    & fact(lizenz__1_1,real)
    & etype(lizenz__1_1,int0)
    & card(lizenz__1_1,int1)
    & sort(lizenz__1_1,io)
    & sort(lizenz__1_1,d)
    & varia(c2174,varia_c)
    & refer(c2174,refer_c)
    & quant(c2174,one)
    & gener(c2174,gener_c)
    & fact(c2174,real)
    & etype(c2174,int0)
    & card(c2174,int1)
    & sort(c2174,io)
    & sort(c2174,d)
    & sub(c954,wagen_1_1)
    & sub(c948,brite_1_1)
    & tupl_p12(c2326,c948,c954,c2169,c954,c2174,c2181,c2186,c2196,c2204,c2212,c2214)
    & pred(c2214,motor__1_1)
    & val(c2213,bmw_0)
    & sub(c2213,name_1_1)
    & sub(c2212,firma_1_1)
    & attr(c2212,c2213)
    & val(c2205,c2201)
    & sub(c2205,jahr__1_1)
    & attr(c2204,c2205)
    & sub(c2196,firma_1_1)
    & val(c2187,nash_0)
    & sub(c2187,familiename_1_1)
    & sub(c2186,mensch_1_1)
    & attr(c2186,c2187)
    & val(c2182,frazer_0)
    & sub(c2182,familiename_1_1)
    & sub(c2181,mensch_1_1)
    & attr(c2181,c2182)
    & sub(c2174,lizenz__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,X2)
      | member(X0,cons(X1,X2)) ),
    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] :
      ( ~ attr(X0,X1)
      | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X1,X2)
      | obj(sK51_skl(X0),X0) ),
    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(X6,jahr__1_1)
      | ~ 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)
          | ! [X6] :
              ( ~ sub(X6,jahr__1_1)
              | ~ sub(X2,name_1_1)
              | ! [X0] :
                  ( ~ sub(X0,firma_1_1)
                  | ~ sub(X1,name_1_1)
                  | ! [X4] : ~ obj(X4,X0)
                  | ! [X5] : ~ 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(X5,jahr__1_1)
      | ~ 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(f20828,plain,
    attr(c2204,c2205),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20829,plain,
    sub(c2205,jahr__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20831,plain,
    attr(c2212,c2213),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20832,plain,
    sub(c2212,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20833,plain,
    sub(c2213,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20834,plain,
    val(c2213,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21080,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(f21081,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sub(X2,name_1_1)
      | ~ attr(X1,X2)
      | ~ val(X2,bmw_0)
      | ~ sub(X1,firma_1_1)
      | ~ obj(X0,X1) ),
    inference(component_clause,[status(thm)],[f21080]) ).

fof(f21083,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(f21084,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ sub(X0,name_1_1)
      | ~ attr(X1,X0)
      | ~ val(X0,bmw_0) ),
    inference(component_clause,[status(thm)],[f21083]) ).

fof(f21086,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ( ~ sub(X5,jahr__1_1)
        | ~ attr(X4,X5) ) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21087,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ sub(X1,jahr__1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21086]) ).

fof(f21089,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21080,f21083,f21086]) ).

fof(f21315,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ attr(X0,c2205) ),
    inference(resolution,[status(thm)],[f20829,f21087]) ).

fof(f21317,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20828,f21315]) ).

fof(f21318,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21317]) ).

fof(f21946,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sub(X1,name_1_1)
      | ~ attr(c2212,X1)
      | ~ val(X1,bmw_0)
      | ~ obj(X0,c2212) ),
    inference(resolution,[status(thm)],[f21081,f20832]) ).

fof(f21947,definition,
    ! [X0] :
      ( sQ6_spl
    <=> ~ obj(X0,c2212) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21948,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ obj(X0,c2212) ),
    inference(component_clause,[status(thm)],[f21947]) ).

fof(f21950,definition,
    ! [X1] :
      ( sQ7_spl
    <=> ( ~ sub(X1,name_1_1)
        | ~ attr(c2212,X1)
        | ~ val(X1,bmw_0) ) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f21951,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ val(X0,bmw_0)
      | ~ attr(c2212,X0)
      | ~ sub(X0,name_1_1) ),
    inference(component_clause,[status(thm)],[f21950]) ).

fof(f21953,plain,
    ( ~ sQ0_spl
    | sQ7_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f21946,f21947,f21950,f21080]) ).

fof(f21958,plain,
    ! [X0,X1] :
      ( ~ sQ6_spl
      | ~ attr(c2212,X1)
      | ~ sub(X1,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21948,f10702]) ).

fof(f22001,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ sub(c2213,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21958,f20831]) ).

fof(f22015,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ member(X0,cons(familiename_1_1,cons(name_1_1,nil)))
      | ~ sub(c2213,X0) ),
    inference(resolution,[status(thm)],[f22001,f10194]) ).

fof(f22017,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ sub(c2213,X0)
      | ~ member(X0,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f22015,f10194]) ).

fof(f22021,plain,
    ( ~ sQ6_spl
    | ~ sub(c2213,name_1_1) ),
    inference(resolution,[status(thm)],[f22017,f10191]) ).

fof(f22022,plain,
    ( ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f22021,f20833]) ).

fof(f22023,plain,
    ~ sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f22022]) ).

fof(f25082,plain,
    ( ~ sQ7_spl
    | ~ val(c2213,bmw_0)
    | ~ attr(c2212,c2213) ),
    inference(resolution,[status(thm)],[f20833,f21951]) ).

fof(f25086,definition,
    ( sQ49_spl
  <=> attr(c2212,c2213) ),
    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).

fof(f25088,plain,
    ( sQ49_spl
    | ~ attr(c2212,c2213) ),
    inference(component_clause,[status(thm)],[f25086]) ).

fof(f25089,definition,
    ( sQ50_spl
  <=> val(c2213,bmw_0) ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f25091,plain,
    ( sQ50_spl
    | ~ val(c2213,bmw_0) ),
    inference(component_clause,[status(thm)],[f25089]) ).

fof(f25092,plain,
    ( ~ sQ7_spl
    | ~ sQ50_spl
    | ~ sQ49_spl ),
    inference(split_clause,[status(thm)],[f25082,f25086,f25089,f21950]) ).

fof(f25093,plain,
    ( sQ49_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f25088,f20831]) ).

fof(f25094,plain,
    sQ49_spl,
    inference(contradiction_clause,[status(thm)],[f25093]) ).

fof(f25095,plain,
    ( sQ50_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f25091,f20834]) ).

fof(f25096,plain,
    sQ50_spl,
    inference(contradiction_clause,[status(thm)],[f25095]) ).

fof(f25097,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ attr(X0,c2213)
      | ~ val(c2213,bmw_0) ),
    inference(resolution,[status(thm)],[f21084,f20833]) ).

fof(f25099,definition,
    ! [X0] :
      ( sQ51_spl
    <=> ~ attr(X0,c2213) ),
    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).

fof(f25100,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | ~ attr(X0,c2213) ),
    inference(component_clause,[status(thm)],[f25099]) ).

fof(f25102,plain,
    ( ~ sQ1_spl
    | sQ51_spl
    | ~ sQ50_spl ),
    inference(split_clause,[status(thm)],[f25097,f25089,f25099,f21083]) ).

fof(f25104,plain,
    ( ~ sQ51_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20831,f25100]) ).

fof(f25105,plain,
    ~ sQ51_spl,
    inference(contradiction_clause,[status(thm)],[f25104]) ).

fof(f25106,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21089,f21318,f21953,f22023,f25092,f25094,f25096,f25102,f25105]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+85 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n009.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 15:08:13 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.22/0.50  % Drodi V4.1.1
% 230.81/29.76  % Refutation found
% 230.81/29.76  % SZS status Theorem for theBenchmark: Theorem is valid
% 230.81/29.76  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 35.28/31.05  % Elapsed time: 30.446406 seconds
% 35.28/31.05  % CPU time: 226.539026 seconds
% 35.28/31.05  % Total memory used: 691.785 MB
% 35.28/31.05  % Net memory used: 636.782 MB
%------------------------------------------------------------------------------