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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR113+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n001.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 12:13:50 PM UTC 2026

% Result   : Theorem 26.83s 3.99s
% Output   : CNFRefutation 24.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   43 (   9 unt;   4 def)
%            Number of atoms       :  308 (   0 equ)
%            Maximal formula atoms :  192 (   7 avg)
%            Number of connectives :  329 (  64   ~;  48   |; 211   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  192 (   9 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   25 (  24 usr;   5 prp; 0-7 aty)
%            Number of functors    :   53 (  53 usr;  51 con; 0-2 aty)
%            Number of variables   :   69 (  58   !;  11   ?)

% 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] :
      ( val(X0,usa_0)
      & sub(X0,name_1_1)
      & scar(X2,X3)
      & attr(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3] :
        ( val(X0,usa_0)
        & sub(X0,name_1_1)
        & scar(X2,X3)
        & attr(X1,X0) ),
    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(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(c96,varia_c)
    & refer(c96,indet)
    & quant(c96,one)
    & gener(c96,sp)
    & fact(c96,real)
    & etype(c96,int0)
    & card(c96,int1)
    & sort(c96,na)
    & 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(c97,varia_c)
    & refer(c97,det)
    & quant(c97,one)
    & gener(c97,sp)
    & fact(c97,real)
    & etype(c97,int0)
    & card(c97,int1)
    & sort(c97,o)
    & varia(c95,con)
    & refer(c95,det)
    & quant(c95,one)
    & gener(c95,sp)
    & fact(c95,real)
    & etype(c95,int0)
    & card(c95,int1)
    & sort(c95,io)
    & sort(c95,d)
    & varia(c86,con)
    & refer(c86,det)
    & quant(c86,one)
    & gener(c86,sp)
    & fact(c86,real)
    & etype(c86,int0)
    & card(c86,int1)
    & sort(c86,d)
    & varia(c163,varia_c)
    & refer(c163,refer_c)
    & quant(c163,quant_c)
    & gener(c163,gener_c)
    & fact(c163,real)
    & etype(c163,etype_c)
    & card(c163,card_c)
    & sort(c163,ent)
    & varia(regierung_1_1,varia_c)
    & refer(regierung_1_1,refer_c)
    & quant(regierung_1_1,quant_c)
    & gener(regierung_1_1,ge)
    & fact(regierung_1_1,real)
    & etype(regierung_1_1,int1)
    & card(regierung_1_1,card_c)
    & sort(regierung_1_1,io)
    & sort(regierung_1_1,d)
    & varia(c115,varia_c)
    & refer(c115,refer_c)
    & quant(c115,one)
    & gener(c115,gener_c)
    & fact(c115,real)
    & etype(c115,int1)
    & card(c115,int1)
    & sort(c115,io)
    & sort(c115,d)
    & sort(usa_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(land_1_1,varia_c)
    & refer(land_1_1,refer_c)
    & quant(land_1_1,one)
    & gener(land_1_1,ge)
    & fact(land_1_1,real)
    & etype(land_1_1,int0)
    & card(land_1_1,int1)
    & sort(land_1_1,io)
    & sort(land_1_1,d)
    & sort(aktuell_1_1,nq)
    & varia(c114,varia_c)
    & refer(c114,indet)
    & quant(c114,one)
    & gener(c114,sp)
    & fact(c114,real)
    & etype(c114,int0)
    & card(c114,int1)
    & sort(c114,na)
    & varia(c113,con)
    & refer(c113,det)
    & quant(c113,one)
    & gener(c113,sp)
    & fact(c113,real)
    & etype(c113,int0)
    & card(c113,int1)
    & sort(c113,io)
    & sort(c113,d)
    & varia(c108,varia_c)
    & refer(c108,det)
    & quant(c108,one)
    & gener(c108,sp)
    & fact(c108,real)
    & etype(c108,int0)
    & card(c108,int1)
    & sort(c108,o)
    & varia(c103,varia_c)
    & refer(c103,det)
    & quant(c103,one)
    & gener(c103,sp)
    & fact(c103,real)
    & etype(c103,int0)
    & card(c103,int1)
    & sort(c103,io)
    & sort(c103,ad)
    & varia(event_1_1,varia_c)
    & refer(event_1_1,refer_c)
    & quant(event_1_1,one)
    & gener(event_1_1,ge)
    & fact(event_1_1,real)
    & etype(event_1_1,int0)
    & card(event_1_1,int1)
    & sort(event_1_1,io)
    & sort(event_1_1,ad)
    & varia(auftakt_1_1,varia_c)
    & refer(auftakt_1_1,refer_c)
    & quant(auftakt_1_1,one)
    & gener(auftakt_1_1,ge)
    & fact(auftakt_1_1,real)
    & etype(auftakt_1_1,int0)
    & card(auftakt_1_1,int1)
    & sort(auftakt_1_1,io)
    & sort(auftakt_1_1,ad)
    & varia(auftaktveranstaltung_1_1,varia_c)
    & refer(auftaktveranstaltung_1_1,refer_c)
    & quant(auftaktveranstaltung_1_1,one)
    & gener(auftaktveranstaltung_1_1,ge)
    & fact(auftaktveranstaltung_1_1,real)
    & etype(auftaktveranstaltung_1_1,int0)
    & card(auftaktveranstaltung_1_1,int1)
    & sort(auftaktveranstaltung_1_1,io)
    & sort(auftaktveranstaltung_1_1,ad)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & val(c96,new_york_0)
    & sub(c96,name_1_1)
    & sub(c95,stadt__1_1)
    & attr(c95,c96)
    & sub(c86,freiheitsstatue_1_1)
    & tupl_p7(c163,c86,c95,c97,c103,c113,c115)
    & sub(c115,regierung_1_1)
    & val(c114,usa_0)
    & sub(c114,name_1_1)
    & sub(c113,land_1_1)
    & prop(c113,aktuell_1_1)
    & attr(c113,c114)
    & poss(c108,c103)
    & sub(c103,auftaktveranstaltung_1_1)
    & sub(auftaktveranstaltung_1_1,event_1_1)
    & assoc(auftaktveranstaltung_1_1,auftakt_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,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(f10703,plain,
    ! [X0,X1,X2] :
      ( scar(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] :
      ( ~ val(X0,usa_0)
      | ~ sub(X0,name_1_1)
      | ~ scar(X2,X3)
      | ~ attr(X1,X0) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X0] :
      ( ~ val(X0,usa_0)
      | ~ sub(X0,name_1_1)
      | ! [X2,X3] : ~ scar(X2,X3)
      | ! [X1] : ~ attr(X1,X0) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3] :
      ( ~ val(X1,usa_0)
      | ~ sub(X1,name_1_1)
      | ~ scar(X2,X3)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20822,plain,
    attr(c113,c114),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    sub(c114,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    val(c114,usa_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21045,definition,
    ! [X0,X1] :
      ( sQ0_spl
    <=> ( ~ val(X1,usa_0)
        | ~ sub(X1,name_1_1)
        | ~ attr(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21046,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ val(X1,usa_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21045]) ).

fof(f21048,definition,
    ! [X2,X3] :
      ( sQ1_spl
    <=> ~ scar(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21049,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ scar(X0,X1) ),
    inference(component_clause,[status(thm)],[f21048]) ).

fof(f21051,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21045,f21048]) ).

fof(f21064,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1_spl
      | ~ sub(X1,X2)
      | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f10703,f21049]) ).

fof(f21065,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c114,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21064,f20822]) ).

fof(f21066,plain,
    ( ~ sQ1_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21065,f20825]) ).

fof(f21067,plain,
    ( ~ sQ1_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21066,f10194]) ).

fof(f21068,plain,
    ( ~ sQ1_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f21067,f10194]) ).

fof(f21069,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21068,f10191]) ).

fof(f21070,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21069]) ).

fof(f21071,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sub(c114,name_1_1)
      | ~ attr(X0,c114) ),
    inference(resolution,[status(thm)],[f21046,f20826]) ).

fof(f21072,definition,
    ! [X0] :
      ( sQ4_spl
    <=> ~ attr(X0,c114) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21073,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ attr(X0,c114) ),
    inference(component_clause,[status(thm)],[f21072]) ).

fof(f21075,definition,
    ( sQ5_spl
  <=> sub(c114,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21077,plain,
    ( sQ5_spl
    | ~ sub(c114,name_1_1) ),
    inference(component_clause,[status(thm)],[f21075]) ).

fof(f21078,plain,
    ( ~ sQ0_spl
    | ~ sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f21071,f21072,f21075,f21045]) ).

fof(f21079,plain,
    ( ~ sQ4_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20822,f21073]) ).

fof(f21080,plain,
    ~ sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21079]) ).

fof(f21081,plain,
    ( sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21077,f20825]) ).

fof(f21082,plain,
    sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21081]) ).

fof(f21083,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21051,f21070,f21078,f21080,f21082]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR113+4 : 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 : n001.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 15:09:29 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.25/0.50  % Drodi V4.1.1
% 26.83/3.99  % Refutation found
% 26.83/3.99  % SZS status Theorem for theBenchmark: Theorem is valid
% 26.83/3.99  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.13/4.18  % Elapsed time: 3.793016 seconds
% 6.13/4.18  % CPU time: 27.786353 seconds
% 6.13/4.18  % Total memory used: 500.704 MB
% 6.13/4.18  % Net memory used: 492.164 MB
%------------------------------------------------------------------------------