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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR113+13 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/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 12:13:47 PM UTC 2026

% Result   : Theorem 10.01s 1.74s
% Output   : CNFRefutation 10.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   49 (  11 unt;   4 def)
%            Number of atoms       :  361 (   0 equ)
%            Maximal formula atoms :  221 (   7 avg)
%            Number of connectives :  390 (  78   ~;  61   |; 244   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  221 (   9 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   33 (  32 usr;   5 prp; 0-3 aty)
%            Number of functors    :   65 (  65 usr;  63 con; 0-2 aty)
%            Number of variables   :   86 (  73   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X0,X2)
     => member(X0,cons(X1,X2)) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ( bei(X0,X1)
        | an(X0,X1)
        | in(X0,X1) )
     => flp(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4] :
      ( val(X1,new_york_0)
      & sub(X1,name_1_1)
      & scar(X3,X4)
      & attr(X2,X1)
      & flp(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f10190,hypothesis,
    ( varia(parade__1_1,varia_c)
    & refer(parade__1_1,refer_c)
    & quant(parade__1_1,one)
    & gener(parade__1_1,ge)
    & fact(parade__1_1,real)
    & etype(parade__1_1,int0)
    & card(parade__1_1,int1)
    & sort(parade__1_1,ad)
    & varia(konfetti_1_1,varia_c)
    & refer(konfetti_1_1,refer_c)
    & quant(konfetti_1_1,one)
    & gener(konfetti_1_1,ge)
    & fact(konfetti_1_1,real)
    & etype(konfetti_1_1,int0)
    & card(konfetti_1_1,int1)
    & sort(konfetti_1_1,o)
    & 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)
    & card(c65,int1894)
    & sort(c65,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(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(c70,varia_c)
    & refer(c70,refer_c)
    & quant(c70,quant_c)
    & gener(c70,sp)
    & fact(c70,real)
    & etype(c70,etype_c)
    & card(c70,card_c)
    & sort(c70,ta)
    & sort(c70,oa)
    & sort(c70,me)
    & varia(konfettiparade_1_1,varia_c)
    & refer(konfettiparade_1_1,refer_c)
    & quant(konfettiparade_1_1,one)
    & gener(konfettiparade_1_1,ge)
    & fact(konfettiparade_1_1,real)
    & etype(konfettiparade_1_1,int0)
    & card(konfettiparade_1_1,int1)
    & sort(konfettiparade_1_1,ad)
    & card(erst_1_1,int1)
    & sort(erst_1_1,oq)
    & varia(c69,con)
    & refer(c69,det)
    & quant(c69,one)
    & gener(c69,sp)
    & fact(c69,real)
    & etype(c69,int0)
    & card(c69,int1)
    & sort(c69,t)
    & varia(c66,varia_c)
    & refer(c66,refer_c)
    & quant(c66,one)
    & gener(c66,ge)
    & fact(c66,real)
    & etype(c66,int0)
    & card(c66,int1)
    & sort(c66,ad)
    & 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(c59,varia_c)
    & refer(c59,indet)
    & quant(c59,one)
    & gener(c59,sp)
    & fact(c59,real)
    & etype(c59,int0)
    & card(c59,int1)
    & sort(c59,na)
    & varia(c58,con)
    & refer(c58,det)
    & quant(c58,one)
    & gener(c58,sp)
    & fact(c58,real)
    & etype(c58,int0)
    & card(c58,int1)
    & sort(c58,io)
    & sort(c58,d)
    & varia(einweihung_1_1,varia_c)
    & refer(einweihung_1_1,refer_c)
    & quant(einweihung_1_1,one)
    & gener(einweihung_1_1,ge)
    & fact(einweihung_1_1,real)
    & etype(einweihung_1_1,int0)
    & card(einweihung_1_1,int1)
    & sort(einweihung_1_1,ad)
    & varia(c7,con)
    & refer(c7,det)
    & quant(c7,one)
    & gener(c7,sp)
    & fact(c7,real)
    & etype(c7,int0)
    & card(c7,int1)
    & sort(c7,d)
    & varia(c3,varia_c)
    & refer(c3,det)
    & quant(c3,one)
    & gener(c3,sp)
    & fact(c3,real)
    & etype(c3,int0)
    & card(c3,int1)
    & sort(c3,ad)
    & gener(kommen_1_1,ge)
    & fact(kommen_1_1,real)
    & sort(kommen_1_1,da)
    & varia(c63,con)
    & refer(c63,det)
    & quant(c63,one)
    & gener(c63,sp)
    & fact(c63,real)
    & etype(c63,int0)
    & card(c63,int1)
    & sort(c63,ad)
    & sort(spontan_1_1,nq)
    & varia(c72,con)
    & refer(c72,det)
    & quant(c72,one)
    & gener(c72,sp)
    & fact(c72,real)
    & etype(c72,int0)
    & card(c72,int1)
    & sort(c72,l)
    & varia(c33,varia_c)
    & refer(c33,det)
    & quant(c33,one)
    & gener(c33,sp)
    & fact(c33,real)
    & etype(c33,int0)
    & card(c33,int1)
    & sort(c33,o)
    & gener(c16,sp)
    & fact(c16,real)
    & sort(c16,da)
    & varia(vortag_1_1,varia_c)
    & refer(vortag_1_1,refer_c)
    & quant(vortag_1_1,one)
    & gener(vortag_1_1,ge)
    & fact(vortag_1_1,real)
    & etype(vortag_1_1,int0)
    & card(vortag_1_1,int1)
    & sort(vortag_1_1,ta)
    & varia(c11,con)
    & refer(c11,det)
    & quant(c11,one)
    & gener(c11,sp)
    & fact(c11,real)
    & etype(c11,int0)
    & card(c11,int1)
    & sort(c11,ta)
    & subs(konfettiparade_1_1,parade__1_1)
    & assoc(konfettiparade_1_1,konfetti_1_1)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & in(c72,c58)
    & val(c70,c65)
    & sub(c70,jahr__1_1)
    & sub(c7,freiheitsstatue_1_1)
    & attr(c69,c70)
    & pmod(c66,erst_1_1,konfettiparade_1_1)
    & temp(c63,c69)
    & subs(c63,c66)
    & val(c59,new_york_0)
    & sub(c59,name_1_1)
    & sub(c58,stadt__1_1)
    & attr(c58,c59)
    & temp(c3,c11)
    & subs(c3,einweihung_1_1)
    & obj(c3,c7)
    & ante(c3,c16)
    & subs(c16,kommen_1_1)
    & purp(c16,c63)
    & mannr(c16,spontan_1_1)
    & dircl(c16,c72)
    & agt(c16,c33)
    & sub(c11,vortag_1_1) ),
    file('/export/starexec/sandbox2/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(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(f20815,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ val(X1,new_york_0)
      | ~ sub(X1,name_1_1)
      | ~ scar(X3,X4)
      | ~ attr(X2,X1)
      | ~ flp(X0,X2) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

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

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

fof(f20828,plain,
    attr(c58,c59),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20830,plain,
    sub(c59,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20831,plain,
    val(c59,new_york_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20839,plain,
    in(c72,c58),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21074,definition,
    ! [X0,X1,X2] :
      ( sQ0_spl
    <=> ( ~ val(X2,new_york_0)
        | ~ sub(X2,name_1_1)
        | ~ attr(X1,X2)
        | ~ flp(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21075,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ val(X2,new_york_0)
      | ~ sub(X2,name_1_1)
      | ~ attr(X1,X2)
      | ~ flp(X0,X1) ),
    inference(component_clause,[status(thm)],[f21074]) ).

fof(f21077,definition,
    ! [X3,X4] :
      ( sQ1_spl
    <=> ~ scar(X3,X4) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21078,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ scar(X0,X1) ),
    inference(component_clause,[status(thm)],[f21077]) ).

fof(f21080,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21074,f21077]) ).

fof(f21092,plain,
    flp(c72,c58),
    inference(resolution,[status(thm)],[f20839,f10785]) ).

fof(f21093,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,f21078]) ).

fof(f21094,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c59,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21093,f20828]) ).

fof(f21095,plain,
    ( ~ sQ1_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21094,f20830]) ).

fof(f21096,plain,
    ( ~ sQ1_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21095,f10194]) ).

fof(f21097,plain,
    ( ~ sQ1_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f21096,f10194]) ).

fof(f21098,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21097,f10191]) ).

fof(f21099,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21098]) ).

fof(f21100,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sub(c59,name_1_1)
      | ~ attr(X1,c59)
      | ~ flp(X0,X1) ),
    inference(resolution,[status(thm)],[f21075,f20831]) ).

fof(f21101,definition,
    ! [X0,X1] :
      ( sQ4_spl
    <=> ( ~ attr(X1,c59)
        | ~ flp(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21102,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | ~ attr(X1,c59)
      | ~ flp(X0,X1) ),
    inference(component_clause,[status(thm)],[f21101]) ).

fof(f21104,definition,
    ( sQ5_spl
  <=> sub(c59,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21106,plain,
    ( sQ5_spl
    | ~ sub(c59,name_1_1) ),
    inference(component_clause,[status(thm)],[f21104]) ).

fof(f21107,plain,
    ( ~ sQ0_spl
    | ~ sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f21100,f21101,f21104,f21074]) ).

fof(f21108,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ flp(X0,c58) ),
    inference(resolution,[status(thm)],[f21102,f20828]) ).

fof(f21109,plain,
    ( ~ sQ4_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f21092,f21108]) ).

fof(f21112,plain,
    ~ sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21109]) ).

fof(f21113,plain,
    ( sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21106,f20830]) ).

fof(f21114,plain,
    sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21113]) ).

fof(f21115,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21080,f21099,f21107,f21112,f21114]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR113+13 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n001.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 15:07:59 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.13/0.43  % Drodi V4.1.1
% 10.01/1.74  % Refutation found
% 10.01/1.74  % SZS status Theorem for theBenchmark: Theorem is valid
% 10.01/1.74  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.15/1.85  % Elapsed time: 1.485608 seconds
% 4.15/1.85  % CPU time: 10.502841 seconds
% 4.15/1.85  % Total memory used: 477.031 MB
% 4.15/1.85  % Net memory used: 473.210 MB
%------------------------------------------------------------------------------