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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR113+15 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/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 12:13:48 PM UTC 2026

% Result   : Theorem 233.39s 30.17s
% Output   : CNFRefutation 226.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   37 (   8 unt;   2 def)
%            Number of atoms       :  264 (   0 equ)
%            Maximal formula atoms :  152 (   7 avg)
%            Number of connectives :  297 (  70   ~;  54   |; 169   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  152 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   28 (  27 usr;   3 prp; 0-2 aty)
%            Number of functors    :   42 (  42 usr;  41 con; 0-2 aty)
%            Number of variables   :   72 (  60   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f176,axiom,
    ! [X0,X1] :
      ( ( bei(X0,X1)
        | an(X0,X1)
        | in(X0,X1) )
     => flp(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f180,axiom,
    ! [X0,X1] :
      ( loc(X0,X1)
     => ? [X2] :
          ( subs(X2,stehen_1_1)
          & scar(X2,X0)
          & loc(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4] :
      ( val(X1,new_york_0)
      & subs(X3,stehen_1_1)
      & sub(X1,name_1_1)
      & scar(X3,X4)
      & loc(X3,X0)
      & flp(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4] :
        ( val(X1,new_york_0)
        & subs(X3,stehen_1_1)
        & sub(X1,name_1_1)
        & scar(X3,X4)
        & loc(X3,X0)
        & flp(X0,X2) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(statue_1_1,varia_c)
    & refer(statue_1_1,refer_c)
    & quant(statue_1_1,one)
    & gener(statue_1_1,ge)
    & fact(statue_1_1,real)
    & etype(statue_1_1,int0)
    & card(statue_1_1,int1)
    & sort(statue_1_1,d)
    & varia(freiheit_1_1,varia_c)
    & refer(freiheit_1_1,refer_c)
    & quant(freiheit_1_1,one)
    & gener(freiheit_1_1,ge)
    & fact(freiheit_1_1,real)
    & etype(freiheit_1_1,int0)
    & card(freiheit_1_1,int1)
    & sort(freiheit_1_1,io)
    & sort(freiheit_1_1,as)
    & gener(kommen_1_1,ge)
    & fact(kommen_1_1,real)
    & sort(kommen_1_1,da)
    & gener(nicht_1_1,gener_c)
    & fact(nicht_1_1,real)
    & sort(nicht_1_1,md)
    & varia(c55,varia_c)
    & refer(c55,det)
    & quant(c55,one)
    & gener(c55,sp)
    & fact(c55,real)
    & etype(c55,int0)
    & card(c55,int1)
    & sort(c55,d)
    & gener(c75,sp)
    & fact(c75,real)
    & sort(c75,da)
    & gener(errichten_1_1,ge)
    & fact(errichten_1_1,real)
    & sort(errichten_1_1,da)
    & varia(c79,con)
    & refer(c79,det)
    & quant(c79,one)
    & gener(c79,sp)
    & fact(c79,real)
    & etype(c79,int0)
    & card(c79,int1)
    & sort(c79,l)
    & varia(freiheitsstatue_1_1,varia_c)
    & refer(freiheitsstatue_1_1,refer_c)
    & quant(freiheitsstatue_1_1,one)
    & gener(freiheitsstatue_1_1,ge)
    & fact(freiheitsstatue_1_1,real)
    & etype(freiheitsstatue_1_1,int0)
    & card(freiheitsstatue_1_1,int1)
    & sort(freiheitsstatue_1_1,d)
    & varia(c32,varia_c)
    & refer(c32,indet)
    & quant(c32,one)
    & gener(c32,sp)
    & fact(c32,real)
    & etype(c32,int0)
    & card(c32,int1)
    & sort(c32,d)
    & sort(new_york_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(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(c31,varia_c)
    & refer(c31,indet)
    & quant(c31,one)
    & gener(c31,sp)
    & fact(c31,real)
    & etype(c31,int0)
    & card(c31,int1)
    & sort(c31,na)
    & varia(c30,con)
    & refer(c30,det)
    & quant(c30,one)
    & gener(c30,sp)
    & fact(c30,real)
    & etype(c30,int0)
    & card(c30,int1)
    & sort(c30,io)
    & sort(c30,d)
    & varia(bootshafen_1_1,varia_c)
    & refer(bootshafen_1_1,refer_c)
    & quant(bootshafen_1_1,one)
    & gener(bootshafen_1_1,ge)
    & fact(bootshafen_1_1,real)
    & etype(bootshafen_1_1,int0)
    & card(bootshafen_1_1,int1)
    & sort(bootshafen_1_1,d)
    & varia(c23,con)
    & refer(c23,det)
    & quant(c23,one)
    & gener(c23,sp)
    & fact(c23,real)
    & etype(c23,int0)
    & card(c23,int1)
    & sort(c23,d)
    & varia(gedanke_1_1,varia_c)
    & refer(gedanke_1_1,refer_c)
    & quant(gedanke_1_1,one)
    & gener(gedanke_1_1,ge)
    & fact(gedanke_1_1,real)
    & etype(gedanke_1_1,int0)
    & card(gedanke_1_1,int1)
    & sort(gedanke_1_1,io)
    & sort(gedanke_1_1,as)
    & gener(c43,sp)
    & fact(c43,real)
    & sort(c43,da)
    & varia(c17,con)
    & refer(c17,det)
    & quant(c17,one)
    & gener(c17,sp)
    & fact(c17,real)
    & etype(c17,int0)
    & card(c17,int1)
    & sort(c17,io)
    & sort(c17,as)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & in(c79,c23)
    & subs(c75,kommen_1_1)
    & semrel(c75,c43)
    & modl(c75,nicht_1_1)
    & agt(c75,c55)
    & subs(c43,errichten_1_1)
    & rslt(c43,c32)
    & loc(c43,c79)
    & sub(c32,freiheitsstatue_1_1)
    & val(c31,new_york_0)
    & sub(c31,name_1_1)
    & sub(c30,stadt__1_1)
    & attr(c30,c31)
    & attch(c30,c23)
    & sub(c23,bootshafen_1_1)
    & sub(c17,gedanke_1_1)
    & caus(c17,c43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10784,plain,
    ! [X0,X1] :
      ( flp(X0,X1)
      | ( ~ bei(X0,X1)
        & ~ an(X0,X1)
        & ~ in(X0,X1) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f176]) ).

fof(f10785,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | flp(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10784]) ).

fof(f10801,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( subs(X2,stehen_1_1)
          & scar(X2,X0)
          & loc(X2,X1) )
      | ~ loc(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f180]) ).

fof(f10802,plain,
    ! [X0,X1] :
      ( ( subs(sK62_skl(X1,X0),stehen_1_1)
        & scar(sK62_skl(X1,X0),X0)
        & loc(sK62_skl(X1,X0),X1) )
      | ~ loc(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK62_skl]),skolemize(X2,sK62_skl(X1,X0))],[f10801]) ).

fof(f10803,plain,
    ! [X0,X1] :
      ( loc(sK62_skl(X1,X0),X1)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10802]) ).

fof(f10804,plain,
    ! [X0,X1] :
      ( scar(sK62_skl(X1,X0),X0)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10802]) ).

fof(f10805,plain,
    ! [X0,X1] :
      ( ~ loc(X1,X0)
      | subs(sK62_skl(X0,X1),stehen_1_1) ),
    inference(cnf_transformation,[status(thm)],[f10802]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ val(X1,new_york_0)
      | ~ subs(X3,stehen_1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X3,X4)
      | ~ loc(X3,X0)
      | ~ flp(X0,X2) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X1] :
      ( ~ val(X1,new_york_0)
      | ! [X3] :
          ( ~ subs(X3,stehen_1_1)
          | ~ sub(X1,name_1_1)
          | ! [X4] : ~ scar(X3,X4)
          | ! [X0] :
              ( ~ loc(X3,X0)
              | ! [X2] : ~ flp(X0,X2) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ val(X4,new_york_0)
      | ~ subs(X2,stehen_1_1)
      | ~ sub(X4,name_1_1)
      | ~ scar(X2,X3)
      | ~ loc(X2,X0)
      | ~ flp(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20824,plain,
    sub(c31,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    val(c31,new_york_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    loc(c43,c79),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20834,plain,
    in(c79,c23),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21005,definition,
    ! [X0,X1,X2,X3] :
      ( sQ0_spl
    <=> ( ~ subs(X2,stehen_1_1)
        | ~ scar(X2,X3)
        | ~ loc(X2,X0)
        | ~ flp(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21006,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ0_spl
      | ~ flp(X2,X3)
      | ~ subs(X0,stehen_1_1)
      | ~ loc(X0,X2)
      | ~ scar(X0,X1) ),
    inference(component_clause,[status(thm)],[f21005]) ).

fof(f21008,definition,
    ! [X4] :
      ( sQ1_spl
    <=> ( ~ val(X4,new_york_0)
        | ~ sub(X4,name_1_1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21009,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(X0,name_1_1)
      | ~ val(X0,new_york_0) ),
    inference(component_clause,[status(thm)],[f21008]) ).

fof(f21011,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21005,f21008]) ).

fof(f21012,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ scar(sK62_skl(X1,X0),X4)
      | ~ flp(X2,X3)
      | ~ loc(sK62_skl(X1,X0),X2)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f10805,f21006]) ).

fof(f21179,plain,
    flp(c79,c23),
    inference(resolution,[status(thm)],[f20834,f10785]) ).

fof(f24368,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ0_spl
      | ~ flp(X2,X3)
      | ~ loc(sK62_skl(X1,X0),X2)
      | ~ loc(X0,X1)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f10804,f21012]) ).

fof(f24370,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ0_spl
      | ~ loc(sK62_skl(X1,X0),X2)
      | ~ flp(X2,X3)
      | ~ loc(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f24368]) ).

fof(f24378,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ loc(sK62_skl(X1,X0),c79)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f24370,f21179]) ).

fof(f24379,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ loc(X0,c79)
      | ~ loc(X0,c79) ),
    inference(resolution,[status(thm)],[f24378,f10803]) ).

fof(f24385,plain,
    ( ~ sQ0_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20827,f24386]) ).

fof(f24386,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ loc(X0,c79) ),
    inference(duplicate_literals_removal,[status(thm)],[f24379]) ).

fof(f24387,plain,
    ~ sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f24385]) ).

fof(f24389,plain,
    ( ~ sQ1_spl
    | ~ val(c31,new_york_0) ),
    inference(resolution,[status(thm)],[f21009,f20824]) ).

fof(f24390,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f24389,f20825]) ).

fof(f24391,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f24390]) ).

fof(f24392,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21011,f24387,f24391]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR113+15 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  % Computer : n004.cluster.edu
% 0.20/0.47  % Model    : x86_64 x86_64
% 0.20/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47  % Memory   : 8046.5625MB
% 0.20/0.47  % OS       : Linux 6.8.0-71-generic
% 0.20/0.47  % CPULimit : 300
% 0.20/0.47  % WCLimit  : 300
% 0.20/0.47  % DateTime : Mon Sep 21 15:02:51 UTC 2026
% 0.20/0.47  % CPUTime  : 
% 0.40/0.69  % Drodi V4.1.1
% 233.39/30.17  % Refutation found
% 233.39/30.17  % SZS status Theorem for theBenchmark: Theorem is valid
% 233.39/30.17  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 226.93/30.30  % Elapsed time: 29.812367 seconds
% 226.93/30.30  % CPU time: 234.307330 seconds
% 226.93/30.30  % Total memory used: 749.664 MB
% 226.93/30.30  % Net memory used: 687.436 MB
%------------------------------------------------------------------------------