↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+87 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n010.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 48.33s 6.61s
% Output   : CNFRefutation 48.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   59 (  12 unt;   8 def)
%            Number of atoms       :  380 (   0 equ)
%            Maximal formula atoms :  183 (   6 avg)
%            Number of connectives :  439 ( 118   ~;  99   |; 212   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  183 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   28 (  27 usr;   9 prp; 0-8 aty)
%            Number of functors    :   51 (  51 usr;  49 con; 0-2 aty)
%            Number of variables   :   99 (  82   !;  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,
    ( sort(puch_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(c74,varia_c)
    & refer(c74,indet)
    & quant(c74,one)
    & gener(c74,sp)
    & fact(c74,real)
    & etype(c74,int0)
    & card(c74,int1)
    & sort(c74,na)
    & sort(steyr_0,fe)
    & varia(stadt__1_1,varia_c)
    & refer(stadt__1_1,refer_c)
    & quant(stadt__1_1,one)
    & gener(stadt__1_1,ge)
    & fact(stadt__1_1,real)
    & etype(stadt__1_1,int0)
    & card(stadt__1_1,int1)
    & sort(stadt__1_1,io)
    & sort(stadt__1_1,d)
    & varia(c69,varia_c)
    & refer(c69,indet)
    & quant(c69,one)
    & gener(c69,sp)
    & fact(c69,real)
    & etype(c69,int0)
    & card(c69,int1)
    & sort(c69,na)
    & varia(c63,con)
    & refer(c63,det)
    & quant(c63,one)
    & gener(c63,sp)
    & fact(c63,real)
    & etype(c63,int0)
    & card(c63,int1)
    & sort(c63,io)
    & sort(c63,d)
    & varia(fabrikat_1_1,varia_c)
    & refer(fabrikat_1_1,refer_c)
    & quant(fabrikat_1_1,one)
    & gener(fabrikat_1_1,ge)
    & fact(fabrikat_1_1,real)
    & etype(fabrikat_1_1,int0)
    & card(fabrikat_1_1,int1)
    & sort(fabrikat_1_1,o)
    & varia(zasada_1_1,varia_c)
    & refer(zasada_1_1,refer_c)
    & quant(zasada_1_1,one)
    & gener(zasada_1_1,ge)
    & fact(zasada_1_1,real)
    & etype(zasada_1_1,int0)
    & card(zasada_1_1,int1)
    & sort(zasada_1_1,o)
    & varia(c73,con)
    & refer(c73,det)
    & quant(c73,one)
    & gener(c73,sp)
    & fact(c73,real)
    & etype(c73,int0)
    & card(c73,int1)
    & sort(c73,d)
    & varia(c68,con)
    & refer(c68,det)
    & quant(c68,one)
    & gener(c68,sp)
    & fact(c68,real)
    & etype(c68,int0)
    & card(c68,int1)
    & sort(c68,io)
    & sort(c68,d)
    & varia(c58,varia_c)
    & refer(c58,indet)
    & quant(c58,mult)
    & gener(c58,sp)
    & fact(c58,real)
    & etype(c58,int1)
    & card(c58,cons(x_constant,cons(int1,nil)))
    & sort(c58,o)
    & varia(c57,varia_c)
    & refer(c57,indet)
    & quant(c57,mult)
    & gener(c57,gener_c)
    & fact(c57,real)
    & etype(c57,int1)
    & card(c57,cons(x_constant,cons(int1,nil)))
    & sort(c57,o)
    & varia(c222,varia_c)
    & refer(c222,refer_c)
    & quant(c222,quant_c)
    & gener(c222,gener_c)
    & fact(c222,real)
    & etype(c222,etype_c)
    & card(c222,card_c)
    & sort(c222,ent)
    & sort(bmw_0,fe)
    & varia(c126,varia_c)
    & refer(c126,indet)
    & quant(c126,one)
    & gener(c126,sp)
    & fact(c126,real)
    & etype(c126,int0)
    & card(c126,int1)
    & sort(c126,na)
    & varia(c125,con)
    & refer(c125,det)
    & quant(c125,one)
    & gener(c125,sp)
    & fact(c125,real)
    & etype(c125,int0)
    & card(c125,int1)
    & sort(c125,io)
    & sort(c125,d)
    & sort(porsche_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(c110,varia_c)
    & refer(c110,indet)
    & quant(c110,one)
    & gener(c110,sp)
    & fact(c110,real)
    & etype(c110,int0)
    & card(c110,int1)
    & sort(c110,na)
    & varia(c109,con)
    & refer(c109,det)
    & quant(c109,one)
    & gener(c109,sp)
    & fact(c109,real)
    & etype(c109,int0)
    & card(c109,int1)
    & sort(c109,io)
    & sort(c109,d)
    & val(c74,puch_0)
    & sub(c74,familiename_1_1)
    & sub(c73,mensch_1_1)
    & attr(c73,c74)
    & val(c69,steyr_0)
    & sub(c69,name_1_1)
    & sub(c68,stadt__1_1)
    & attr(c68,c69)
    & sub(c63,firma_1_1)
    & attch(c63,c58)
    & pred(c58,fabrikat_1_1)
    & pred(c57,zasada_1_1)
    & tupl_p8(c222,c57,c58,c68,c73,c68,c109,c125)
    & val(c126,bmw_0)
    & sub(c126,name_1_1)
    & sub(c125,firma_1_1)
    & attr(c125,c126)
    & val(c110,porsche_0)
    & sub(c110,name_1_1)
    & sub(c109,firma_1_1)
    & attr(c109,c110) ),
    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(f20822,plain,
    attr(c125,c126),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20823,plain,
    sub(c125,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    sub(c126,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    val(c126,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21036,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(f21037,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)],[f21036]) ).

fof(f21039,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(f21040,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21039]) ).

fof(f21042,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ~ attr(X4,X5) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21043,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21042]) ).

fof(f21045,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21036,f21039,f21042]) ).

fof(f21254,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20822,f21043]) ).

fof(f21255,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21254]) ).

fof(f21290,definition,
    ( sQ32_spl
  <=> sub(c125,firma_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f21292,plain,
    ( sQ32_spl
    | ~ sub(c125,firma_1_1) ),
    inference(component_clause,[status(thm)],[f21290]) ).

fof(f21332,definition,
    ( sQ38_spl
  <=> sub(c126,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f21334,plain,
    ( sQ38_spl
    | ~ sub(c126,name_1_1) ),
    inference(component_clause,[status(thm)],[f21332]) ).

fof(f21913,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,f21037]) ).

fof(f21925,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c126,name_1_1)
      | ~ attr(X0,c126) ),
    inference(resolution,[status(thm)],[f21040,f20825]) ).

fof(f21926,definition,
    ! [X0] :
      ( sQ76_spl
    <=> ~ attr(X0,c126) ),
    introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).

fof(f21927,plain,
    ! [X0] :
      ( ~ sQ76_spl
      | ~ attr(X0,c126) ),
    inference(component_clause,[status(thm)],[f21926]) ).

fof(f21929,plain,
    ( ~ sQ1_spl
    | ~ sQ38_spl
    | sQ76_spl ),
    inference(split_clause,[status(thm)],[f21925,f21926,f21332,f21039]) ).

fof(f21930,plain,
    ( ~ sQ76_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20822,f21927]) ).

fof(f21931,plain,
    ~ sQ76_spl,
    inference(contradiction_clause,[status(thm)],[f21930]) ).

fof(f21932,plain,
    ( sQ38_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21334,f20824]) ).

fof(f21933,plain,
    sQ38_spl,
    inference(contradiction_clause,[status(thm)],[f21932]) ).

fof(f21954,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ val(c126,bmw_0)
      | ~ sub(c125,firma_1_1)
      | ~ sub(c126,name_1_1)
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(c125,X0) ),
    inference(resolution,[status(thm)],[f20822,f21913]) ).

fof(f21956,definition,
    ! [X0,X1] :
      ( sQ77_spl
    <=> ( ~ sub(X0,X1)
        | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(c125,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).

fof(f21957,plain,
    ! [X0,X1] :
      ( ~ sQ77_spl
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(c125,X0) ),
    inference(component_clause,[status(thm)],[f21956]) ).

fof(f21959,definition,
    ( sQ78_spl
  <=> val(c126,bmw_0) ),
    introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).

fof(f21961,plain,
    ( sQ78_spl
    | ~ val(c126,bmw_0) ),
    inference(component_clause,[status(thm)],[f21959]) ).

fof(f21962,plain,
    ( ~ sQ0_spl
    | ~ sQ78_spl
    | ~ sQ32_spl
    | ~ sQ38_spl
    | sQ77_spl ),
    inference(split_clause,[status(thm)],[f21954,f21956,f21332,f21290,f21959,f21036]) ).

fof(f21967,plain,
    ( sQ78_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21961,f20825]) ).

fof(f21968,plain,
    sQ78_spl,
    inference(contradiction_clause,[status(thm)],[f21967]) ).

fof(f21970,plain,
    ! [X0] :
      ( ~ sQ77_spl
      | ~ sub(c126,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21957,f20822]) ).

fof(f21971,plain,
    ! [X0] :
      ( ~ sQ77_spl
      | ~ member(X0,cons(familiename_1_1,cons(name_1_1,nil)))
      | ~ sub(c126,X0) ),
    inference(resolution,[status(thm)],[f21970,f10194]) ).

fof(f21973,plain,
    ! [X0] :
      ( ~ sQ77_spl
      | ~ member(X0,cons(name_1_1,nil))
      | ~ sub(c126,X0) ),
    inference(resolution,[status(thm)],[f21971,f10194]) ).

fof(f21976,plain,
    ( ~ sQ77_spl
    | ~ sub(c126,name_1_1) ),
    inference(resolution,[status(thm)],[f21973,f10191]) ).

fof(f21977,plain,
    ( ~ sQ77_spl
    | ~ sQ38_spl ),
    inference(split_clause,[status(thm)],[f21976,f21332,f21956]) ).

fof(f21978,plain,
    ( sQ32_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21292,f20823]) ).

fof(f21979,plain,
    sQ32_spl,
    inference(contradiction_clause,[status(thm)],[f21978]) ).

fof(f21980,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21045,f21255,f21929,f21931,f21933,f21962,f21968,f21977,f21979]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+87 : 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 : n010.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 15:08:25 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.23/0.49  % Drodi V4.1.1
% 48.33/6.61  % Refutation found
% 48.33/6.61  % SZS status Theorem for theBenchmark: Theorem is valid
% 48.33/6.61  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.69/6.72  % Elapsed time: 6.351708 seconds
% 7.69/6.72  % CPU time: 48.815302 seconds
% 7.69/6.72  % Total memory used: 578.439 MB
% 7.69/6.72  % Net memory used: 548.568 MB
%------------------------------------------------------------------------------