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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR113+26 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.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 12:13:49 PM UTC 2026

% Result   : Theorem 131.52s 22.18s
% Output   : CNFRefutation 132.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   37 (   8 unt;   4 def)
%            Number of atoms       :  297 (   0 equ)
%            Maximal formula atoms :  194 (   8 avg)
%            Number of connectives :  320 (  60   ~;  46   |; 209   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  194 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   27 (  26 usr;   5 prp; 0-3 aty)
%            Number of functors    :   54 (  54 usr;  53 con; 0-2 aty)
%            Number of variables   :   60 (  48   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
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,usa_0)
      & subs(X3,stehen_1_1)
      & sub(X1,name_1_1)
      & scar(X3,X4)
      & loc(X3,X0)
      & attr(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4] :
        ( val(X1,usa_0)
        & subs(X3,stehen_1_1)
        & sub(X1,name_1_1)
        & scar(X3,X4)
        & loc(X3,X0)
        & attr(X2,X1) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(symbol_1_1,varia_c)
    & refer(symbol_1_1,refer_c)
    & quant(symbol_1_1,one)
    & gener(symbol_1_1,ge)
    & fact(symbol_1_1,real)
    & etype(symbol_1_1,int0)
    & card(symbol_1_1,int1)
    & sort(symbol_1_1,io)
    & sort(national__1_1,nq)
    & 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(prop_0,gener_c)
    & fact(prop_0,real)
    & sort(prop_0,st)
    & gener(c9,sp)
    & fact(c9,real)
    & sort(c9,st)
    & 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(c4,con)
    & refer(c4,det)
    & quant(c4,one)
    & gener(c4,sp)
    & fact(c4,real)
    & etype(c4,int0)
    & card(c4,int1)
    & sort(c4,d)
    & varia(c35,con)
    & refer(c35,det)
    & quant(c35,one)
    & gener(c35,sp)
    & fact(c35,real)
    & etype(c35,int0)
    & card(c35,int1)
    & sort(c35,l)
    & 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)
    & varia(c33,varia_c)
    & refer(c33,indet)
    & quant(c33,one)
    & gener(c33,sp)
    & fact(c33,real)
    & etype(c33,int0)
    & card(c33,int1)
    & sort(c33,na)
    & varia(c32,con)
    & refer(c32,det)
    & quant(c32,one)
    & gener(c32,sp)
    & fact(c32,real)
    & etype(c32,int0)
    & card(c32,int1)
    & sort(c32,io)
    & sort(c32,d)
    & varia(c28,varia_c)
    & refer(c28,refer_c)
    & quant(c28,quant_c)
    & gener(c28,gener_c)
    & fact(c28,real)
    & etype(c28,int2)
    & etype(c28,int1)
    & card(c28,card_c)
    & sort(c28,o)
    & sort(wichtig_1_1,nq)
    & varia(nationalsymbol_1_1,varia_c)
    & refer(nationalsymbol_1_1,refer_c)
    & quant(nationalsymbol_1_1,one)
    & gener(nationalsymbol_1_1,ge)
    & fact(nationalsymbol_1_1,real)
    & etype(nationalsymbol_1_1,int0)
    & card(nationalsymbol_1_1,int1)
    & sort(nationalsymbol_1_1,io)
    & sort(c27,tq)
    & varia(c23,con)
    & refer(c23,det)
    & quant(c23,one)
    & gener(c23,sp)
    & fact(c23,real)
    & etype(c23,int0)
    & card(c23,int1)
    & sort(c23,io)
    & sort(sam_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(c18,varia_c)
    & refer(c18,indet)
    & quant(c18,one)
    & gener(c18,sp)
    & fact(c18,real)
    & etype(c18,int0)
    & card(c18,int1)
    & sort(c18,na)
    & varia(c17,con)
    & refer(c17,det)
    & quant(c17,one)
    & gener(c17,sp)
    & fact(c17,real)
    & etype(c17,int0)
    & card(c17,int1)
    & sort(c17,d)
    & varia(uncle_1_1,varia_c)
    & refer(uncle_1_1,refer_c)
    & quant(uncle_1_1,one)
    & gener(uncle_1_1,ge)
    & fact(uncle_1_1,real)
    & etype(uncle_1_1,int0)
    & card(uncle_1_1,int1)
    & sort(uncle_1_1,o)
    & sort(aktuell_1_1,tq)
    & varia(c11,varia_c)
    & refer(c11,refer_c)
    & quant(c11,one)
    & gener(c11,gener_c)
    & fact(c11,real)
    & etype(c11,int0)
    & card(c11,int1)
    & sort(c11,o)
    & sub(nationalsymbol_1_1,symbol_1_1)
    & assoc(nationalsymbol_1_1,national__1_1)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & subr(c9,prop_0)
    & loc(c9,c35)
    & assoc(c9,c23)
    & assoc(c9,c17)
    & arg2(c9,aktuell_1_1)
    & arg1(c9,c11)
    & sub(c4,freiheitsstatue_1_1)
    & neben(c35,c4)
    & val(c33,usa_0)
    & sub(c33,name_1_1)
    & sub(c32,land_1_1)
    & attr(c32,c33)
    & attch(c32,c23)
    & supl(c27,wichtig_1_1,c28)
    & sub(c23,nationalsymbol_1_1)
    & prop(c23,c27)
    & val(c18,sam_0)
    & sub(c18,familiename_1_1)
    & sub(c17,mensch_1_1)
    & attr(c17,c18)
    & sub(c11,uncle_1_1)
    & prop(c11,aktuell_1_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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] :
      ( ~ loc(X1,X0)
      | scar(sK62_skl(X0,X1),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,usa_0)
      | ~ subs(X3,stehen_1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X3,X4)
      | ~ loc(X3,X0)
      | ~ attr(X2,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X1] :
      ( ~ val(X1,usa_0)
      | ! [X3] :
          ( ~ subs(X3,stehen_1_1)
          | ~ sub(X1,name_1_1)
          | ! [X4] : ~ scar(X3,X4)
          | ! [X0] : ~ loc(X3,X0)
          | ! [X2] : ~ attr(X2,X1) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ val(X1,usa_0)
      | ~ subs(X2,stehen_1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X2,X4)
      | ~ loc(X2,X3)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20828,plain,
    attr(c32,c33),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20830,plain,
    sub(c33,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20831,plain,
    val(c33,usa_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20838,plain,
    loc(c9,c35),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21047,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(f21048,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ attr(X1,X0)
      | ~ sub(X0,name_1_1)
      | ~ val(X0,usa_0) ),
    inference(component_clause,[status(thm)],[f21047]) ).

fof(f21050,definition,
    ! [X2,X3,X4] :
      ( sQ1_spl
    <=> ( ~ subs(X2,stehen_1_1)
        | ~ scar(X2,X4)
        | ~ loc(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21051,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1_spl
      | ~ loc(X0,X2)
      | ~ subs(X0,stehen_1_1)
      | ~ scar(X0,X1) ),
    inference(component_clause,[status(thm)],[f21050]) ).

fof(f21053,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21047,f21050]) ).

fof(f23966,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ attr(X0,c33)
      | ~ val(c33,usa_0) ),
    inference(resolution,[status(thm)],[f20830,f21048]) ).

fof(f23976,definition,
    ( sQ168_spl
  <=> val(c33,usa_0) ),
    introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).

fof(f23978,plain,
    ( sQ168_spl
    | ~ val(c33,usa_0) ),
    inference(component_clause,[status(thm)],[f23976]) ).

fof(f23979,definition,
    ! [X0] :
      ( sQ169_spl
    <=> ~ attr(X0,c33) ),
    introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).

fof(f23980,plain,
    ! [X0] :
      ( ~ sQ169_spl
      | ~ attr(X0,c33) ),
    inference(component_clause,[status(thm)],[f23979]) ).

fof(f23982,plain,
    ( ~ sQ0_spl
    | sQ169_spl
    | ~ sQ168_spl ),
    inference(split_clause,[status(thm)],[f23966,f23976,f23979,f21047]) ).

fof(f23983,plain,
    ( sQ168_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f23978,f20831]) ).

fof(f23984,plain,
    sQ168_spl,
    inference(contradiction_clause,[status(thm)],[f23983]) ).

fof(f24263,plain,
    ( ~ sQ169_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20828,f23980]) ).

fof(f24264,plain,
    ~ sQ169_spl,
    inference(contradiction_clause,[status(thm)],[f24263]) ).

fof(f30341,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1_spl
      | ~ subs(sK62_skl(X1,X0),stehen_1_1)
      | ~ scar(sK62_skl(X1,X0),X2)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f10803,f21051]) ).

fof(f30347,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1_spl
      | ~ scar(sK62_skl(X1,X0),X2)
      | ~ loc(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f30341,f10805]) ).

fof(f30487,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ loc(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f10804,f30347]) ).

fof(f30490,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20838,f30487]) ).

fof(f30496,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f30490]) ).

fof(f30497,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21053,f23982,f23984,f24264,f30496]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR113+26 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.39  % Computer : n007.cluster.edu
% 0.12/5.39  % Model    : x86_64 x86_64
% 0.12/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39  % Memory   : 8046.5625MB
% 0.12/5.39  % OS       : Linux 6.8.0-71-generic
% 0.12/5.39  % CPULimit : 300
% 0.12/5.39  % WCLimit  : 300
% 0.12/5.39  % DateTime : Mon Sep 21 15:01:26 UTC 2026
% 0.15/5.40  % CPUTime  : 
% 0.15/5.53  % Drodi V4.1.1
% 131.52/22.18  % Refutation found
% 131.52/22.18  % SZS status Theorem for theBenchmark: Theorem is valid
% 131.52/22.18  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 25.14/22.38  % Elapsed time: 16.960949 seconds
% 25.14/22.38  % CPU time: 132.918892 seconds
% 25.14/22.38  % Total memory used: 912.449 MB
% 25.14/22.38  % Net memory used: 880.039 MB
%------------------------------------------------------------------------------