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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+82 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.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 74.55s 10.29s
% Output   : CNFRefutation 2.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   5 unt;   2 def)
%            Number of atoms       :  168 (   0 equ)
%            Maximal formula atoms :  101 (   6 avg)
%            Number of connectives :  180 (  37   ~;  26   |; 114   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   3 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  33 con; 0-2 aty)
%            Number of variables   :   55 (  41   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f177,axiom,
    ! [X0,X1] :
      ( name(X1,X0)
     => ? [X2] :
          ( val(X2,X0)
          & sub(X2,name_1_1)
          & attr(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5] :
      ( sub(X2,name_1_1)
      & sub(X1,name_1_1)
      & attr(X4,X5)
      & attr(X3,X2)
      & attr(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5] :
        ( sub(X2,name_1_1)
        & sub(X1,name_1_1)
        & attr(X4,X5)
        & attr(X3,X2)
        & attr(X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( gener(einl__344uten_1_1,ge)
    & fact(einl__344uten_1_1,real)
    & sort(einl__344uten_1_1,dn)
    & varia(c373,con)
    & refer(c373,det)
    & quant(c373,one)
    & gener(c373,sp)
    & fact(c373,real)
    & etype(c373,int0)
    & card(c373,int1)
    & sort(c373,l)
    & gener(c368,sp)
    & fact(c368,real)
    & sort(c368,dn)
    & varia(bereich_1_1,varia_c)
    & refer(bereich_1_1,refer_c)
    & quant(bereich_1_1,one)
    & gener(bereich_1_1,ge)
    & fact(bereich_1_1,real)
    & etype(bereich_1_1,int0)
    & card(bereich_1_1,int1)
    & sort(bereich_1_1,d)
    & varia(c364,varia_c)
    & refer(c364,refer_c)
    & quant(c364,one)
    & gener(c364,sp)
    & fact(c364,real)
    & etype(c364,int0)
    & card(c364,int1)
    & sort(c364,d)
    & varia(mountain_bike_1_1,varia_c)
    & refer(mountain_bike_1_1,refer_c)
    & quant(mountain_bike_1_1,one)
    & gener(mountain_bike_1_1,ge)
    & fact(mountain_bike_1_1,real)
    & etype(mountain_bike_1_1,int0)
    & card(mountain_bike_1_1,int1)
    & sort(mountain_bike_1_1,d)
    & varia(c362,con)
    & refer(c362,det)
    & quant(c362,one)
    & gener(c362,sp)
    & fact(c362,real)
    & etype(c362,int0)
    & card(c362,int1)
    & sort(c362,d)
    & sort(freeride_____344ra_0,fe)
    & varia(c358,varia_c)
    & refer(c358,refer_c)
    & quant(c358,one)
    & gener(c358,sp)
    & fact(c358,hypo)
    & etype(c358,int0)
    & card(c358,int1)
    & sort(c358,o)
    & sort(marzocchi_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(c342,varia_c)
    & refer(c342,indet)
    & quant(c342,one)
    & gener(c342,sp)
    & fact(c342,real)
    & etype(c342,int0)
    & card(c342,int1)
    & sort(c342,na)
    & varia(c341,con)
    & refer(c341,det)
    & quant(c341,one)
    & gener(c341,sp)
    & fact(c341,real)
    & etype(c341,int0)
    & card(c341,int1)
    & sort(c341,d)
    & in(c373,c362)
    & subs(c368,einl__344uten_1_1)
    & mcont(c368,c358)
    & loc(c368,c373)
    & exp(c368,c341)
    & benf(c368,c364)
    & sub(c364,bereich_1_1)
    & sub(c362,mountain_bike_1_1)
    & name(c358,freeride_____344ra_0)
    & val(c342,marzocchi_0)
    & sub(c342,familiename_1_1)
    & sub(c341,mensch_1_1)
    & attr(c341,c342) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10788,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( val(X2,X0)
          & sub(X2,name_1_1)
          & attr(X1,X2) )
      | ~ name(X1,X0) ),
    inference(pre_NNF_transformation,[status(thm)],[f177]) ).

fof(f10789,plain,
    ! [X0,X1] :
      ( ( val(sK60_skl(X1,X0),X0)
        & sub(sK60_skl(X1,X0),name_1_1)
        & attr(X1,sK60_skl(X1,X0)) )
      | ~ name(X1,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK60_skl]),skolemize(X2,sK60_skl(X1,X0))],[f10788]) ).

fof(f10790,plain,
    ! [X0,X1] :
      ( ~ name(X0,X1)
      | attr(X0,sK60_skl(X0,X1)) ),
    inference(cnf_transformation,[status(thm)],[f10789]) ).

fof(f10791,plain,
    ! [X0,X1] :
      ( ~ name(X0,X1)
      | sub(sK60_skl(X0,X1),name_1_1) ),
    inference(cnf_transformation,[status(thm)],[f10789]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sub(X2,name_1_1)
      | ~ sub(X1,name_1_1)
      | ~ attr(X4,X5)
      | ~ attr(X3,X2)
      | ~ attr(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X2] :
      ( ~ sub(X2,name_1_1)
      | ! [X1] :
          ( ~ sub(X1,name_1_1)
          | ! [X4,X5] : ~ attr(X4,X5)
          | ! [X3] : ~ attr(X3,X2)
          | ! [X0] : ~ attr(X0,X1) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sub(X3,name_1_1)
      | ~ sub(X1,name_1_1)
      | ~ attr(X4,X5)
      | ~ attr(X2,X3)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20818,plain,
    attr(c341,c342),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20822,plain,
    name(c358,freeride_____344ra_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20954,definition,
    ! [X0,X1] :
      ( sQ0_spl
    <=> ( ~ sub(X1,name_1_1)
        | ~ attr(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f20955,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20954]) ).

fof(f20957,definition,
    ! [X4,X5] :
      ( sQ1_spl
    <=> ~ attr(X4,X5) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f20958,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20957]) ).

fof(f20960,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f20954,f20957]) ).

fof(f21738,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20818,f20958]) ).

fof(f21739,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21738]) ).

fof(f29568,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ attr(X2,sK60_skl(X0,X1))
      | ~ name(X0,X1) ),
    inference(resolution,[status(thm)],[f10791,f20955]) ).

fof(f30059,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ name(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f10790,f29568]) ).

fof(f30060,plain,
    ( ~ sQ0_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20822,f30059]) ).

fof(f30061,plain,
    ~ sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f30060]) ).

fof(f30062,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f20960,f21739,f30061]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+82 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.54  % Computer : n004.cluster.edu
% 0.09/0.54  % Model    : x86_64 x86_64
% 0.09/0.54  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.54  % Memory   : 8046.5625MB
% 0.09/0.54  % OS       : Linux 6.8.0-71-generic
% 0.09/0.54  % CPULimit : 300
% 0.09/0.54  % WCLimit  : 300
% 0.09/0.54  % DateTime : Mon Sep 21 15:07:52 UTC 2026
% 0.09/0.54  % CPUTime  : 
% 0.15/0.67  % Drodi V4.1.1
% 74.55/10.29  % Refutation found
% 74.55/10.29  % SZS status Theorem for theBenchmark: Theorem is valid
% 74.55/10.29  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.92/10.60  % Elapsed time: 10.041248 seconds
% 2.92/10.60  % CPU time: 76.790348 seconds
% 2.92/10.60  % Total memory used: 739.874 MB
% 2.92/10.60  % Net memory used: 676.184 MB
%------------------------------------------------------------------------------