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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR113+21 : 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 12:13:48 PM UTC 2026

% Result   : Theorem 11.12s 7.11s
% Output   : CNFRefutation 11.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   46 (   9 unt;   5 def)
%            Number of atoms       :  281 (   0 equ)
%            Maximal formula atoms :  156 (   6 avg)
%            Number of connectives :  299 (  64   ~;  53   |; 175   &)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  156 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   25 (  24 usr;   6 prp; 0-8 aty)
%            Number of functors    :   46 (  46 usr;  44 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,new_york_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,new_york_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(c28013,varia_c)
    & refer(c28013,det)
    & quant(c28013,one)
    & gener(c28013,sp)
    & fact(c28013,real)
    & etype(c28013,int0)
    & card(c28013,int1)
    & sort(c28013,d)
    & varia(c28887,varia_c)
    & refer(c28887,refer_c)
    & quant(c28887,quant_c)
    & gener(c28887,gener_c)
    & fact(c28887,real)
    & etype(c28887,etype_c)
    & card(c28887,card_c)
    & sort(c28887,ent)
    & 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(c28075,varia_c)
    & refer(c28075,indet)
    & quant(c28075,one)
    & gener(c28075,sp)
    & fact(c28075,real)
    & etype(c28075,int0)
    & card(c28075,int1)
    & sort(c28075,d)
    & 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(c28074,varia_c)
    & refer(c28074,indet)
    & quant(c28074,one)
    & gener(c28074,sp)
    & fact(c28074,real)
    & etype(c28074,int0)
    & card(c28074,int1)
    & sort(c28074,na)
    & varia(c28073,con)
    & refer(c28073,det)
    & quant(c28073,one)
    & gener(c28073,sp)
    & fact(c28073,real)
    & etype(c28073,int0)
    & card(c28073,int1)
    & sort(c28073,io)
    & sort(c28073,d)
    & varia(bootshafen_1_1,varia_c)
    & refer(bootshafen_1_1,refer_c)
    & quant(bootshafen_1_1,one)
    & gener(bootshafen_1_1,ge)
    & fact(bootshafen_1_1,real)
    & etype(bootshafen_1_1,int0)
    & card(bootshafen_1_1,int1)
    & sort(bootshafen_1_1,d)
    & varia(c28066,con)
    & refer(c28066,det)
    & quant(c28066,one)
    & gener(c28066,sp)
    & fact(c28066,real)
    & etype(c28066,int0)
    & card(c28066,int1)
    & sort(c28066,d)
    & varia(gedanke_1_1,varia_c)
    & refer(gedanke_1_1,refer_c)
    & quant(gedanke_1_1,one)
    & gener(gedanke_1_1,ge)
    & fact(gedanke_1_1,real)
    & etype(gedanke_1_1,int0)
    & card(gedanke_1_1,int1)
    & sort(gedanke_1_1,io)
    & sort(gedanke_1_1,as)
    & varia(c28060,con)
    & refer(c28060,det)
    & quant(c28060,one)
    & gener(c28060,sp)
    & fact(c28060,real)
    & etype(c28060,int0)
    & card(c28060,int1)
    & sort(c28060,io)
    & sort(c28060,as)
    & varia(c28053,varia_c)
    & refer(c28053,det)
    & quant(c28053,one)
    & gener(c28053,sp)
    & fact(c28053,real)
    & etype(c28053,int0)
    & card(c28053,int1)
    & sort(c28053,o)
    & varia(ironie_1_1,varia_c)
    & refer(ironie_1_1,refer_c)
    & quant(ironie_1_1,one)
    & gener(ironie_1_1,ge)
    & fact(ironie_1_1,real)
    & etype(ironie_1_1,int0)
    & card(ironie_1_1,int1)
    & sort(ironie_1_1,io)
    & sort(ironie_1_1,as)
    & varia(c28049,varia_c)
    & refer(c28049,det)
    & quant(c28049,one)
    & gener(c28049,sp)
    & fact(c28049,real)
    & etype(c28049,int0)
    & card(c28049,int1)
    & sort(c28049,io)
    & sort(c28049,as)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & tupl_p8(c28887,c28013,c28049,c28060,c28066,c28073,c28075,c28013)
    & sub(c28075,freiheitsstatue_1_1)
    & val(c28074,new_york_0)
    & sub(c28074,name_1_1)
    & sub(c28073,stadt__1_1)
    & attr(c28073,c28074)
    & sub(c28066,bootshafen_1_1)
    & sub(c28060,gedanke_1_1)
    & poss(c28053,c28049)
    & sub(c28049,ironie_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,new_york_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,new_york_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,new_york_0)
      | ~ sub(X1,name_1_1)
      | ~ scar(X2,X3)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20822,plain,
    attr(c28073,c28074),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    sub(c28074,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    val(c28074,new_york_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21009,definition,
    ! [X0,X1] :
      ( sQ0_spl
    <=> ( ~ val(X1,new_york_0)
        | ~ sub(X1,name_1_1)
        | ~ attr(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21010,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ val(X1,new_york_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21009]) ).

fof(f21012,definition,
    ! [X2,X3] :
      ( sQ1_spl
    <=> ~ scar(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21013,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ scar(X0,X1) ),
    inference(component_clause,[status(thm)],[f21012]) ).

fof(f21015,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21009,f21012]) ).

fof(f21016,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sub(c28074,name_1_1)
      | ~ attr(X0,c28074) ),
    inference(resolution,[status(thm)],[f20825,f21010]) ).

fof(f21017,definition,
    ! [X0] :
      ( sQ2_spl
    <=> ~ attr(X0,c28074) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21018,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ attr(X0,c28074) ),
    inference(component_clause,[status(thm)],[f21017]) ).

fof(f21020,definition,
    ( sQ3_spl
  <=> sub(c28074,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f21021,plain,
    ( ~ sQ3_spl
    | sub(c28074,name_1_1) ),
    inference(component_clause,[status(thm)],[f21020]) ).

fof(f21022,plain,
    ( sQ3_spl
    | ~ sub(c28074,name_1_1) ),
    inference(component_clause,[status(thm)],[f21020]) ).

fof(f21023,plain,
    ( ~ sQ0_spl
    | ~ sQ3_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f21016,f21017,f21020,f21009]) ).

fof(f21024,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20824,f21022]) ).

fof(f21025,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f21024]) ).

fof(f21026,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20822,f21018]) ).

fof(f21027,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21026]) ).

fof(f21029,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,f21013]) ).

fof(f21030,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sQ1_spl
      | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X0,c28074) ),
    inference(resolution,[status(thm)],[f21029,f21021]) ).

fof(f21031,definition,
    ( sQ4_spl
  <=> member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21033,plain,
    ( sQ4_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(component_clause,[status(thm)],[f21031]) ).

fof(f21034,plain,
    ( ~ sQ3_spl
    | ~ sQ1_spl
    | ~ sQ4_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f21030,f21017,f21031,f21012,f21020]) ).

fof(f21035,plain,
    ( sQ4_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21033,f10194]) ).

fof(f21036,plain,
    ( sQ4_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f21035,f10194]) ).

fof(f21037,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21036,f10191]) ).

fof(f21038,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21037]) ).

fof(f21039,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21015,f21023,f21025,f21027,f21034,f21038]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR113+21 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.39  % Computer : n003.cluster.edu
% 0.11/5.39  % Model    : x86_64 x86_64
% 0.11/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39  % Memory   : 8046.5625MB
% 0.11/5.39  % OS       : Linux 6.8.0-71-generic
% 0.11/5.39  % CPULimit : 300
% 0.11/5.39  % WCLimit  : 300
% 0.11/5.39  % DateTime : Mon Sep 21 15:04:51 UTC 2026
% 0.11/5.39  % CPUTime  : 
% 0.16/5.61  % Drodi V4.1.1
% 11.12/7.11  % Refutation found
% 11.12/7.11  % SZS status Theorem for theBenchmark: Theorem is valid
% 11.12/7.11  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.27/7.26  % Elapsed time: 1.854968 seconds
% 4.27/7.26  % CPU time: 12.197150 seconds
% 4.27/7.26  % Total memory used: 471.629 MB
% 4.27/7.26  % Net memory used: 469.407 MB
%------------------------------------------------------------------------------