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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR113+5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n013.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 14.92s 2.37s
% Output   : CNFRefutation 14.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   43 (   9 unt;   4 def)
%            Number of atoms       :  332 (   0 equ)
%            Maximal formula atoms :  216 (   7 avg)
%            Number of connectives :  353 (  64   ~;  48   |; 235   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  216 (  10 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   25 (  24 usr;   5 prp; 0-9 aty)
%            Number of functors    :   56 (  56 usr;  54 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)
    & varia(c61228,varia_c)
    & refer(c61228,det)
    & quant(c61228,one)
    & gener(c61228,sp)
    & fact(c61228,real)
    & etype(c61228,int0)
    & card(c61228,int1)
    & sort(c61228,o)
    & varia(c62887,varia_c)
    & refer(c62887,refer_c)
    & quant(c62887,quant_c)
    & gener(c62887,gener_c)
    & fact(c62887,real)
    & etype(c62887,etype_c)
    & card(c62887,card_c)
    & sort(c62887,ent)
    & varia(herzegowina_1_1,varia_c)
    & refer(herzegowina_1_1,refer_c)
    & quant(herzegowina_1_1,one)
    & gener(herzegowina_1_1,ge)
    & fact(herzegowina_1_1,real)
    & etype(herzegowina_1_1,int0)
    & card(herzegowina_1_1,int1)
    & sort(herzegowina_1_1,o)
    & varia(c61250,varia_c)
    & refer(c61250,refer_c)
    & quant(c61250,one)
    & gener(c61250,gener_c)
    & fact(c61250,real)
    & etype(c61250,int0)
    & card(c61250,int1)
    & sort(c61250,o)
    & sort(bosnien_0,fe)
    & varia(gebiet_1_1,varia_c)
    & refer(gebiet_1_1,refer_c)
    & quant(gebiet_1_1,one)
    & gener(gebiet_1_1,ge)
    & fact(gebiet_1_1,real)
    & etype(gebiet_1_1,int0)
    & card(gebiet_1_1,int1)
    & sort(gebiet_1_1,d)
    & varia(c61249,varia_c)
    & refer(c61249,indet)
    & quant(c61249,one)
    & gener(c61249,sp)
    & fact(c61249,real)
    & etype(c61249,int0)
    & card(c61249,int1)
    & sort(c61249,na)
    & varia(c61248,con)
    & refer(c61248,det)
    & quant(c61248,one)
    & gener(c61248,sp)
    & fact(c61248,real)
    & etype(c61248,int0)
    & card(c61248,int1)
    & sort(c61248,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)
    & varia(c61244,varia_c)
    & refer(c61244,indet)
    & quant(c61244,one)
    & gener(c61244,sp)
    & fact(c61244,real)
    & etype(c61244,int0)
    & card(c61244,int1)
    & sort(c61244,na)
    & varia(c61243,con)
    & refer(c61243,det)
    & quant(c61243,one)
    & gener(c61243,sp)
    & fact(c61243,real)
    & etype(c61243,int0)
    & card(c61243,int1)
    & sort(c61243,io)
    & sort(c61243,d)
    & varia(alkoholfahne_1_1,varia_c)
    & refer(alkoholfahne_1_1,refer_c)
    & quant(alkoholfahne_1_1,one)
    & gener(alkoholfahne_1_1,ge)
    & fact(alkoholfahne_1_1,real)
    & etype(alkoholfahne_1_1,int0)
    & card(alkoholfahne_1_1,int1)
    & sort(alkoholfahne_1_1,d)
    & varia(c61236,con)
    & refer(c61236,det)
    & quant(c61236,mult)
    & gener(c61236,sp)
    & fact(c61236,real)
    & etype(c61236,int1)
    & card(c61236,cons(x_constant,cons(int1,nil)))
    & sort(c61236,d)
    & varia(sich_1_1,varia_c)
    & refer(sich_1_1,refer_c)
    & quant(sich_1_1,one)
    & gener(sich_1_1,gener_c)
    & fact(sich_1_1,real)
    & etype(sich_1_1,int0)
    & card(sich_1_1,int1)
    & sort(sich_1_1,o)
    & varia(c61231,varia_c)
    & refer(c61231,refer_c)
    & quant(c61231,one)
    & gener(c61231,gener_c)
    & fact(c61231,real)
    & etype(c61231,int0)
    & card(c61231,int1)
    & sort(c61231,o)
    & varia(lilie_1_1,varia_c)
    & refer(lilie_1_1,refer_c)
    & quant(lilie_1_1,one)
    & gener(lilie_1_1,ge)
    & fact(lilie_1_1,real)
    & etype(lilie_1_1,int0)
    & card(lilie_1_1,int1)
    & sort(lilie_1_1,d)
    & varia(c61214,varia_c)
    & refer(c61214,indet)
    & quant(c61214,one)
    & gener(c61214,sp)
    & fact(c61214,real)
    & etype(c61214,int0)
    & card(c61214,int1)
    & sort(c61214,d)
    & varia(fackel_1_1,varia_c)
    & refer(fackel_1_1,refer_c)
    & quant(fackel_1_1,one)
    & gener(fackel_1_1,ge)
    & fact(fackel_1_1,real)
    & etype(fackel_1_1,int0)
    & card(fackel_1_1,int1)
    & sort(fackel_1_1,d)
    & varia(c61207,varia_c)
    & refer(c61207,det)
    & quant(c61207,one)
    & gener(c61207,sp)
    & fact(c61207,real)
    & etype(c61207,int0)
    & card(c61207,int1)
    & sort(c61207,d)
    & varia(c61204,varia_c)
    & refer(c61204,det)
    & quant(c61204,one)
    & gener(c61204,sp)
    & fact(c61204,real)
    & etype(c61204,int0)
    & card(c61204,int1)
    & sort(c61204,o)
    & 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(c61153,con)
    & refer(c61153,det)
    & quant(c61153,one)
    & gener(c61153,sp)
    & fact(c61153,real)
    & etype(c61153,int0)
    & card(c61153,int1)
    & sort(c61153,d)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & tupl_p9(c62887,c61153,c61207,c61214,c61228,c61231,c61236,c61248,c61250)
    & sub(c61250,herzegowina_1_1)
    & val(c61249,bosnien_0)
    & sub(c61249,name_1_1)
    & sub(c61248,gebiet_1_1)
    & attr(c61248,c61249)
    & val(c61244,usa_0)
    & sub(c61244,name_1_1)
    & sub(c61243,land_1_1)
    & attr(c61243,c61244)
    & attch(c61243,c61236)
    & pred(c61236,alkoholfahne_1_1)
    & sub(c61231,sich_1_1)
    & sub(c61214,lilie_1_1)
    & sub(c61207,fackel_1_1)
    & attch(c61204,c61207)
    & sub(c61153,freiheitsstatue_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(f20825,plain,
    attr(c61243,c61244),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    sub(c61244,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20828,plain,
    val(c61244,usa_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21069,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(f21070,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ val(X1,usa_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21069]) ).

fof(f21072,definition,
    ! [X2,X3] :
      ( sQ1_spl
    <=> ~ scar(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21073,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ scar(X0,X1) ),
    inference(component_clause,[status(thm)],[f21072]) ).

fof(f21075,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21069,f21072]) ).

fof(f21088,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,f21073]) ).

fof(f21089,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c61244,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21088,f20825]) ).

fof(f21090,plain,
    ( ~ sQ1_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21089,f20827]) ).

fof(f21091,plain,
    ( ~ sQ1_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21090,f10194]) ).

fof(f21092,plain,
    ( ~ sQ1_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f21091,f10194]) ).

fof(f21093,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21092,f10191]) ).

fof(f21094,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21093]) ).

fof(f21095,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sub(c61244,name_1_1)
      | ~ attr(X0,c61244) ),
    inference(resolution,[status(thm)],[f21070,f20828]) ).

fof(f21096,definition,
    ! [X0] :
      ( sQ4_spl
    <=> ~ attr(X0,c61244) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21097,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ attr(X0,c61244) ),
    inference(component_clause,[status(thm)],[f21096]) ).

fof(f21099,definition,
    ( sQ5_spl
  <=> sub(c61244,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21101,plain,
    ( sQ5_spl
    | ~ sub(c61244,name_1_1) ),
    inference(component_clause,[status(thm)],[f21099]) ).

fof(f21102,plain,
    ( ~ sQ0_spl
    | ~ sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f21095,f21096,f21099,f21069]) ).

fof(f21103,plain,
    ( ~ sQ4_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20825,f21097]) ).

fof(f21104,plain,
    ~ sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21103]) ).

fof(f21105,plain,
    ( sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21101,f20827]) ).

fof(f21106,plain,
    sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21105]) ).

fof(f21107,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21075,f21094,f21102,f21104,f21106]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR113+5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n013.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 15:03:21 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.42  % Drodi V4.1.1
% 14.92/2.37  % Refutation found
% 14.92/2.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 14.92/2.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.67/2.46  % Elapsed time: 2.085146 seconds
% 0.67/2.46  % CPU time: 15.499004 seconds
% 0.67/2.46  % Total memory used: 502.716 MB
% 0.67/2.46  % Net memory used: 493.489 MB
%------------------------------------------------------------------------------