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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR113+14 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n003.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 12:13:47 PM UTC 2026

% Result   : Theorem 168.97s 21.90s
% Output   : CNFRefutation 168.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   39 (   8 unt;   2 def)
%            Number of atoms       :  316 (   0 equ)
%            Maximal formula atoms :  184 (   8 avg)
%            Number of connectives :  362 (  85   ~;  70   |; 203   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  184 (  11 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   26 (  25 usr;   3 prp; 0-3 aty)
%            Number of functors    :   55 (  55 usr;  54 con; 0-2 aty)
%            Number of variables   :   83 (  71   !;  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)
      & attr(X2,X1)
      & 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)
        & attr(X2,X1)
        & 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)
    & 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(c38,varia_c)
    & refer(c38,indet)
    & quant(c38,one)
    & gener(c38,sp)
    & fact(c38,real)
    & etype(c38,int0)
    & card(c38,int1)
    & sort(c38,na)
    & varia(c37,con)
    & refer(c37,det)
    & quant(c37,one)
    & gener(c37,sp)
    & fact(c37,real)
    & etype(c37,int0)
    & card(c37,int1)
    & sort(c37,io)
    & sort(c37,d)
    & gener(einweihen_1_2,ge)
    & fact(einweihen_1_2,real)
    & sort(einweihen_1_2,da)
    & varia(c41,con)
    & refer(c41,det)
    & quant(c41,one)
    & gener(c41,sp)
    & fact(c41,real)
    & etype(c41,int0)
    & card(c41,int1)
    & sort(c41,l)
    & gener(c29,sp)
    & fact(c29,real)
    & sort(c29,da)
    & 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(c21,con)
    & refer(c21,det)
    & quant(c21,one)
    & gener(c21,sp)
    & fact(c21,real)
    & etype(c21,int0)
    & card(c21,int1)
    & sort(c21,d)
    & card(c16,int1886)
    & sort(c16,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(c20,varia_c)
    & refer(c20,refer_c)
    & quant(c20,quant_c)
    & gener(c20,sp)
    & fact(c20,real)
    & etype(c20,etype_c)
    & card(c20,card_c)
    & sort(c20,ta)
    & sort(c20,oa)
    & sort(c20,me)
    & varia(c19,con)
    & refer(c19,det)
    & quant(c19,one)
    & gener(c19,sp)
    & fact(c19,real)
    & etype(c19,int0)
    & card(c19,int1)
    & sort(c19,t)
    & varia(c8,varia_c)
    & refer(c8,det)
    & quant(c8,one)
    & gener(c8,sp)
    & fact(c8,real)
    & etype(c8,int0)
    & card(c8,int1)
    & sort(c8,ta)
    & varia(c15,varia_c)
    & refer(c15,det)
    & quant(c15,one)
    & gener(c15,sp)
    & fact(c15,real)
    & etype(c15,int0)
    & card(c15,int1)
    & sort(c15,o)
    & card(erst_1_1,int1)
    & sort(erst_1_1,oq)
    & varia(c12,varia_c)
    & refer(c12,refer_c)
    & quant(c12,one)
    & gener(c12,ge)
    & fact(c12,real)
    & etype(c12,int0)
    & card(c12,int1)
    & sort(c12,ta)
    & varia(zeit_1_1,varia_c)
    & refer(zeit_1_1,refer_c)
    & quant(zeit_1_1,one)
    & gener(zeit_1_1,ge)
    & fact(zeit_1_1,real)
    & etype(zeit_1_1,int0)
    & card(zeit_1_1,int1)
    & sort(zeit_1_1,ta)
    & varia(amt_1_2,varia_c)
    & refer(amt_1_2,refer_c)
    & quant(amt_1_2,one)
    & gener(amt_1_2,ge)
    & fact(amt_1_2,real)
    & etype(amt_1_2,int0)
    & card(amt_1_2,int1)
    & sort(amt_1_2,io)
    & sort(amt_1_2,ad)
    & varia(amtszeit__1_1,varia_c)
    & refer(amtszeit__1_1,refer_c)
    & quant(amtszeit__1_1,one)
    & gener(amtszeit__1_1,ge)
    & fact(amtszeit__1_1,real)
    & etype(amtszeit__1_1,int0)
    & card(amtszeit__1_1,int1)
    & sort(amtszeit__1_1,ta)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & sub(c8,c12)
    & in(c41,c37)
    & val(c38,new_york_0)
    & sub(c38,name_1_1)
    & sub(c37,stadt__1_1)
    & attr(c37,c38)
    & temp(c29,c8)
    & temp(c29,c19)
    & subs(c29,einweihen_1_2)
    & obj(c29,c21)
    & loc(c29,c41)
    & sub(c21,freiheitsstatue_1_1)
    & val(c20,c16)
    & sub(c20,jahr__1_1)
    & attr(c19,c20)
    & pars(c15,c8)
    & pmod(c12,erst_1_1,amtszeit__1_1)
    & sub(amtszeit__1_1,zeit_1_1)
    & assoc(amtszeit__1_1,amt_1_2) ),
    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] :
      ( flp(X0,X1)
      | ~ in(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(X1,X0)
      | loc(sK62_skl(X0,X1),X0) ),
    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] :
      ( subs(sK62_skl(X1,X0),stehen_1_1)
      | ~ loc(X0,X1) ),
    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)
      | ~ attr(X2,X1)
      | ~ 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] :
                  ( ~ attr(X2,X1)
                  | ~ flp(X0,X2) ) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

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

fof(f20826,plain,
    loc(c29,c41),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20831,plain,
    attr(c37,c38),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20833,plain,
    sub(c38,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20834,plain,
    val(c38,new_york_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20835,plain,
    in(c41,c37),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21047,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sub(X1,name_1_1)
      | ~ flp(X4,X0)
      | ~ val(X1,new_york_0)
      | ~ scar(sK62_skl(X3,X2),X5)
      | ~ loc(sK62_skl(X3,X2),X4)
      | ~ loc(X2,X3)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f10805,f20817]) ).

fof(f21346,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ flp(X3,X0)
      | ~ val(c38,new_york_0)
      | ~ scar(sK62_skl(X2,X1),X4)
      | ~ loc(sK62_skl(X2,X1),X3)
      | ~ loc(X1,X2)
      | ~ attr(X0,c38) ),
    inference(resolution,[status(thm)],[f20833,f21047]) ).

fof(f21358,definition,
    ( sQ1_spl
  <=> val(c38,new_york_0) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21360,plain,
    ( sQ1_spl
    | ~ val(c38,new_york_0) ),
    inference(component_clause,[status(thm)],[f21358]) ).

fof(f21362,definition,
    ! [X0,X1,X2,X3,X4] :
      ( sQ2_spl
    <=> ( ~ flp(X3,X0)
        | ~ scar(sK62_skl(X2,X1),X4)
        | ~ loc(sK62_skl(X2,X1),X3)
        | ~ loc(X1,X2)
        | ~ attr(X0,c38) ) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21363,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ2_spl
      | ~ scar(sK62_skl(X0,X1),X4)
      | ~ attr(X3,c38)
      | ~ loc(X1,X0)
      | ~ flp(X2,X3)
      | ~ loc(sK62_skl(X0,X1),X2) ),
    inference(component_clause,[status(thm)],[f21362]) ).

fof(f21365,plain,
    ( ~ sQ1_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f21346,f21362,f21358]) ).

fof(f21385,plain,
    ( sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21360,f20834]) ).

fof(f21386,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21385]) ).

fof(f21482,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ2_spl
      | ~ loc(X1,X0)
      | ~ loc(sK62_skl(X0,X1),X3)
      | ~ flp(X3,c37)
      | ~ scar(sK62_skl(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f20831,f21363]) ).

fof(f24158,plain,
    ! [X0,X1,X2] :
      ( ~ sQ2_spl
      | ~ loc(X0,X1)
      | ~ flp(X1,c37)
      | ~ scar(sK62_skl(X1,X0),X2)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f10803,f21482]) ).

fof(f24168,plain,
    ! [X0,X1,X2] :
      ( ~ sQ2_spl
      | ~ flp(X0,c37)
      | ~ loc(X1,X0)
      | ~ scar(sK62_skl(X0,X1),X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f24158]) ).

fof(f27011,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ flp(X1,c37)
      | ~ loc(X0,X1)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f10804,f24168]) ).

fof(f27014,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ flp(X1,c37)
      | ~ loc(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f27011]) ).

fof(f27031,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ in(X1,c37)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f27014,f10785]) ).

fof(f27032,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ loc(X0,c41) ),
    inference(resolution,[status(thm)],[f27031,f20835]) ).

fof(f27034,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20826,f27032]) ).

fof(f27059,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f27034]) ).

fof(f27060,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21365,f21386,f27059]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR113+14 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37  % Computer : n003.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 21 15:04:01 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.22/0.51  % Drodi V4.1.1
% 168.97/21.90  % Refutation found
% 168.97/21.90  % SZS status Theorem for theBenchmark: Theorem is valid
% 168.97/21.90  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.10/22.03  % Elapsed time: 21.642132 seconds
% 21.10/22.03  % CPU time: 170.195992 seconds
% 21.10/22.03  % Total memory used: 729.449 MB
% 21.10/22.03  % Net memory used: 688.565 MB
%------------------------------------------------------------------------------