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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR114+25 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n016.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 12:13:53 PM UTC 2026

% Result   : Theorem 24.47s 3.70s
% Output   : CNFRefutation 25.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   57 (  15 unt;   8 def)
%            Number of atoms       :  383 (   0 equ)
%            Maximal formula atoms :  215 (   6 avg)
%            Number of connectives :  421 (  95   ~;  81   |; 236   &)
%                                         (   8 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  215 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   37 (  36 usr;   9 prp; 0-2 aty)
%            Number of functors    :   65 (  65 usr;  63 con; 0-2 aty)
%            Number of variables   :   57 (  45   !;  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,rom_0)
      & subs(X4,stehen_1_1)
      & sub(X3,kolosseum_1_1)
      & sub(X0,stadt__1_1)
      & sub(X1,name_1_1)
      & scar(X4,X3)
      & loc(X4,X2)
      & attr(X0,X1)
      & in(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4] :
        ( val(X1,rom_0)
        & subs(X4,stehen_1_1)
        & sub(X3,kolosseum_1_1)
        & sub(X0,stadt__1_1)
        & sub(X1,name_1_1)
        & scar(X4,X3)
        & loc(X4,X2)
        & attr(X0,X1)
        & in(X2,X0) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(art_1_1,varia_c)
    & refer(art_1_1,refer_c)
    & quant(art_1_1,quant_c)
    & gener(art_1_1,ge)
    & fact(art_1_1,real)
    & etype(art_1_1,int1)
    & card(art_1_1,card_c)
    & sort(art_1_1,ad)
    & varia(c9853,varia_c)
    & refer(c9853,det)
    & quant(c9853,one)
    & gener(c9853,sp)
    & fact(c9853,real)
    & etype(c9853,int1)
    & card(c9853,int1)
    & sort(c9853,ad)
    & sort(spaet_1_1,mq)
    & varia(anlage_1_1,varia_c)
    & refer(anlage_1_1,refer_c)
    & quant(anlage_1_1,one)
    & gener(anlage_1_1,ge)
    & fact(anlage_1_1,real)
    & etype(anlage_1_1,int0)
    & card(anlage_1_1,int1)
    & sort(anlage_1_1,as)
    & varia(technik__1_1,varia_c)
    & refer(technik__1_1,refer_c)
    & quant(technik__1_1,one)
    & gener(technik__1_1,ge)
    & fact(technik__1_1,real)
    & etype(technik__1_1,int0)
    & card(technik__1_1,int1)
    & sort(technik__1_1,io)
    & varia(man_1_1,varia_c)
    & refer(man_1_1,refer_c)
    & quant(man_1_1,one)
    & gener(man_1_1,ge)
    & fact(man_1_1,real)
    & etype(man_1_1,int0)
    & card(man_1_1,int1)
    & sort(man_1_1,d)
    & gener(geben_1_4,ge)
    & fact(geben_1_4,real)
    & sort(geben_1_4,da)
    & varia(c9837,con)
    & refer(c9837,det)
    & quant(c9837,one)
    & gener(c9837,sp)
    & fact(c9837,real)
    & etype(c9837,int0)
    & card(c9837,int1)
    & sort(c9837,io)
    & gener(nicht_1_1,gener_c)
    & fact(nicht_1_1,real)
    & sort(nicht_1_1,md)
    & sort(wie_1_1,mq)
    & varia(c9847,varia_c)
    & refer(c9847,det)
    & quant(c9847,mult)
    & gener(c9847,sp)
    & fact(c9847,real)
    & etype(c9847,int1)
    & card(c9847,cons(x_constant,cons(int1,nil)))
    & sort(c9847,as)
    & varia(c9825,varia_c)
    & refer(c9825,det)
    & quant(c9825,one)
    & gener(c9825,sp)
    & fact(c9825,real)
    & etype(c9825,int0)
    & card(c9825,int1)
    & sort(c9825,o)
    & gener(haben_1_1,ge)
    & fact(haben_1_1,real)
    & sort(haben_1_1,st)
    & varia(c4,varia_c)
    & refer(c4,refer_c)
    & quant(c4,one)
    & gener(c4,ge)
    & fact(c4,real)
    & etype(c4,int0)
    & card(c4,int1)
    & sort(c4,d)
    & gener(c24,sp)
    & fact(c24,real)
    & sort(c24,da)
    & gener(c21,sp)
    & fact(c21,real)
    & sort(c21,st)
    & varia(bau_1_1,varia_c)
    & refer(bau_1_1,refer_c)
    & quant(bau_1_1,one)
    & gener(bau_1_1,ge)
    & fact(bau_1_1,real)
    & etype(bau_1_1,int0)
    & card(bau_1_1,int1)
    & sort(bau_1_1,d)
    & varia(c20,varia_c)
    & refer(c20,det)
    & quant(c20,mult)
    & gener(c20,sp)
    & fact(c20,real)
    & etype(c20,int1)
    & card(c20,cons(x_constant,cons(int1,nil)))
    & sort(c20,d)
    & sort(rom_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(c13132,varia_c)
    & refer(c13132,indet)
    & quant(c13132,one)
    & gener(c13132,sp)
    & fact(c13132,real)
    & etype(c13132,int0)
    & card(c13132,int1)
    & sort(c13132,na)
    & varia(c13131,con)
    & refer(c13131,det)
    & quant(c13131,one)
    & gener(c13131,sp)
    & fact(c13131,real)
    & etype(c13131,int0)
    & card(c13131,int1)
    & sort(c13131,io)
    & sort(c13131,d)
    & varia(kolosseum_1_1,con)
    & refer(kolosseum_1_1,det)
    & quant(kolosseum_1_1,one)
    & gener(kolosseum_1_1,sp)
    & fact(kolosseum_1_1,real)
    & etype(kolosseum_1_1,int0)
    & card(kolosseum_1_1,int1)
    & sort(kolosseum_1_1,d)
    & varia(c13134,con)
    & refer(c13134,det)
    & quant(c13134,one)
    & gener(c13134,sp)
    & fact(c13134,real)
    & etype(c13134,int0)
    & card(c13134,int1)
    & sort(c13134,l)
    & varia(c13125,con)
    & refer(c13125,det)
    & quant(c13125,one)
    & gener(c13125,sp)
    & fact(c13125,real)
    & etype(c13125,int0)
    & card(c13125,int1)
    & sort(c13125,d)
    & varia(er_fahrung_1_1,varia_c)
    & refer(er_fahrung_1_1,refer_c)
    & quant(er_fahrung_1_1,one)
    & gener(er_fahrung_1_1,ge)
    & fact(er_fahrung_1_1,real)
    & etype(er_fahrung_1_1,int0)
    & card(er_fahrung_1_1,int1)
    & sort(er_fahrung_1_1,io)
    & sort(er_fahrung_1_1,as)
    & varia(c11,varia_c)
    & refer(c11,indet)
    & quant(c11,mult)
    & gener(c11,sp)
    & fact(c11,nonreal)
    & etype(c11,int1)
    & card(c11,cons(x_constant,cons(int1,nil)))
    & sort(c11,io)
    & sort(c11,as)
    & sort(c0,tq)
    & gener(auskl__374geln_1_1,ge)
    & fact(auskl__374geln_1_1,real)
    & sort(auskl__374geln_1_1,dn)
    & subs(c9853,art_1_1)
    & attch(c9853,c9847)
    & prop(c9847,spaet_1_1)
    & preds(c9847,anlage_1_1)
    & sub(c9837,technik__1_1)
    & prop(c9837,c0)
    & sub(c4,man_1_1)
    & subs(c24,geben_1_4)
    & obj(c24,c9837)
    & modl(c24,nicht_1_1)
    & mannr(c24,wie_1_1)
    & circ(c24,c9847)
    & benf(c24,c13125)
    & agt(c24,c9825)
    & subs(c21,haben_1_1)
    & scar(c21,c4)
    & reas(c21,c24)
    & obj(c21,c11)
    & assoc(c21,c20)
    & pred(c20,bau_1_1)
    & in(c13134,c13131)
    & val(c13132,rom_0)
    & sub(c13132,name_1_1)
    & sub(c13131,stadt__1_1)
    & attr(c13131,c13132)
    & sub(c13125,kolosseum_1_1)
    & loc(c13125,c13134)
    & pred(c11,er_fahrung_1_1)
    & chsp2(auskl__374geln_1_1,c0) ),
    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(sK62_skl(X1,X0),X1)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10802]) ).

fof(f10804,plain,
    ! [X0,X1] :
      ( scar(sK62_skl(X1,X0),X0)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10802]) ).

fof(f10805,plain,
    ! [X0,X1] :
      ( subs(sK62_skl(X1,X0),stehen_1_1)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10802]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ val(X1,rom_0)
      | ~ subs(X4,stehen_1_1)
      | ~ sub(X3,kolosseum_1_1)
      | ~ sub(X0,stadt__1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X4,X3)
      | ~ loc(X4,X2)
      | ~ attr(X0,X1)
      | ~ in(X2,X0) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X1] :
      ( ~ val(X1,rom_0)
      | ! [X4] :
          ( ~ subs(X4,stehen_1_1)
          | ! [X3] :
              ( ~ sub(X3,kolosseum_1_1)
              | ! [X0] :
                  ( ~ sub(X0,stadt__1_1)
                  | ~ sub(X1,name_1_1)
                  | ~ scar(X4,X3)
                  | ! [X2] :
                      ( ~ loc(X4,X2)
                      | ~ attr(X0,X1)
                      | ~ in(X2,X0) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ val(X2,rom_0)
      | ~ subs(X3,stehen_1_1)
      | ~ sub(X4,kolosseum_1_1)
      | ~ sub(X1,stadt__1_1)
      | ~ sub(X2,name_1_1)
      | ~ scar(X3,X4)
      | ~ loc(X3,X0)
      | ~ attr(X1,X2)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20820,plain,
    loc(c13125,c13134),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20821,plain,
    sub(c13125,kolosseum_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20822,plain,
    attr(c13131,c13132),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20823,plain,
    sub(c13131,stadt__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    sub(c13132,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    val(c13132,rom_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    in(c13134,c13131),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21075,definition,
    ( sQ1_spl
  <=> sub(c13132,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21077,plain,
    ( sQ1_spl
    | ~ sub(c13132,name_1_1) ),
    inference(component_clause,[status(thm)],[f21075]) ).

fof(f21086,plain,
    subs(sK62_skl(c13134,c13125),stehen_1_1),
    inference(resolution,[status(thm)],[f20820,f10805]) ).

fof(f21088,plain,
    ! [X0,X1,X2,X3] :
      ( ~ val(X1,rom_0)
      | ~ subs(X2,stehen_1_1)
      | ~ sub(X3,kolosseum_1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X2,X3)
      | ~ loc(X2,X0)
      | ~ attr(c13131,X1)
      | ~ in(X0,c13131) ),
    inference(resolution,[status(thm)],[f20823,f20817]) ).

fof(f21090,definition,
    ! [X0,X2,X3] :
      ( sQ3_spl
    <=> ( ~ subs(X2,stehen_1_1)
        | ~ sub(X3,kolosseum_1_1)
        | ~ scar(X2,X3)
        | ~ loc(X2,X0)
        | ~ in(X0,c13131) ) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f21091,plain,
    ! [X0,X1,X2] :
      ( ~ sQ3_spl
      | ~ subs(X1,stehen_1_1)
      | ~ sub(X2,kolosseum_1_1)
      | ~ scar(X1,X2)
      | ~ loc(X1,X0)
      | ~ in(X0,c13131) ),
    inference(component_clause,[status(thm)],[f21090]) ).

fof(f21093,definition,
    ! [X1] :
      ( sQ4_spl
    <=> ( ~ val(X1,rom_0)
        | ~ sub(X1,name_1_1)
        | ~ attr(c13131,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21094,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ val(X0,rom_0)
      | ~ sub(X0,name_1_1)
      | ~ attr(c13131,X0) ),
    inference(component_clause,[status(thm)],[f21093]) ).

fof(f21096,plain,
    ( sQ4_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f21088,f21090,f21093]) ).

fof(f21097,plain,
    ( sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20824,f21077]) ).

fof(f21098,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21097]) ).

fof(f21101,plain,
    ! [X0,X1] :
      ( ~ sQ3_spl
      | ~ sub(X1,kolosseum_1_1)
      | ~ scar(sK62_skl(c13134,c13125),X1)
      | ~ loc(sK62_skl(c13134,c13125),X0)
      | ~ in(X0,c13131) ),
    inference(resolution,[status(thm)],[f21086,f21091]) ).

fof(f21108,definition,
    ! [X2] :
      ( sQ6_spl
    <=> ( ~ sub(X2,kolosseum_1_1)
        | ~ scar(sK62_skl(c13134,c13125),X2) ) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21109,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ sub(X0,kolosseum_1_1)
      | ~ scar(sK62_skl(c13134,c13125),X0) ),
    inference(component_clause,[status(thm)],[f21108]) ).

fof(f21112,definition,
    ! [X0] :
      ( sQ7_spl
    <=> ( ~ loc(sK62_skl(c13134,c13125),X0)
        | ~ in(X0,c13131) ) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f21113,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ loc(sK62_skl(c13134,c13125),X0)
      | ~ in(X0,c13131) ),
    inference(component_clause,[status(thm)],[f21112]) ).

fof(f21115,plain,
    ( ~ sQ3_spl
    | sQ6_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f21101,f21112,f21108,f21090]) ).

fof(f21120,plain,
    ( ~ sQ4_spl
    | ~ sub(c13132,name_1_1)
    | ~ attr(c13131,c13132) ),
    inference(resolution,[status(thm)],[f21094,f20825]) ).

fof(f21121,definition,
    ( sQ9_spl
  <=> attr(c13131,c13132) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f21123,plain,
    ( sQ9_spl
    | ~ attr(c13131,c13132) ),
    inference(component_clause,[status(thm)],[f21121]) ).

fof(f21124,plain,
    ( ~ sQ4_spl
    | ~ sQ1_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f21120,f21121,f21075,f21093]) ).

fof(f21125,plain,
    ( sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21123,f20822]) ).

fof(f21126,plain,
    sQ9_spl,
    inference(contradiction_clause,[status(thm)],[f21125]) ).

fof(f21150,plain,
    loc(sK62_skl(c13134,c13125),c13134),
    inference(resolution,[status(thm)],[f10803,f20820]) ).

fof(f21220,plain,
    ( ~ sQ6_spl
    | ~ sub(c13125,kolosseum_1_1)
    | ~ loc(c13125,c13134) ),
    inference(resolution,[status(thm)],[f10804,f21109]) ).

fof(f21230,definition,
    ( sQ24_spl
  <=> loc(c13125,c13134) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f21232,plain,
    ( sQ24_spl
    | ~ loc(c13125,c13134) ),
    inference(component_clause,[status(thm)],[f21230]) ).

fof(f21237,definition,
    ( sQ26_spl
  <=> sub(c13125,kolosseum_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f21239,plain,
    ( sQ26_spl
    | ~ sub(c13125,kolosseum_1_1) ),
    inference(component_clause,[status(thm)],[f21237]) ).

fof(f21240,plain,
    ( ~ sQ6_spl
    | ~ sQ26_spl
    | ~ sQ24_spl ),
    inference(split_clause,[status(thm)],[f21220,f21230,f21237,f21108]) ).

fof(f21243,plain,
    ( sQ24_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21232,f20820]) ).

fof(f21244,plain,
    sQ24_spl,
    inference(contradiction_clause,[status(thm)],[f21243]) ).

fof(f21245,plain,
    ( sQ26_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21239,f20821]) ).

fof(f21246,plain,
    sQ26_spl,
    inference(contradiction_clause,[status(thm)],[f21245]) ).

fof(f21294,plain,
    ( ~ sQ7_spl
    | ~ loc(sK62_skl(c13134,c13125),c13134) ),
    inference(resolution,[status(thm)],[f21113,f20826]) ).

fof(f21295,plain,
    ( ~ sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21294,f21150]) ).

fof(f21296,plain,
    ~ sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f21295]) ).

fof(f21297,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21096,f21098,f21115,f21124,f21126,f21240,f21244,f21246,f21296]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR114+25 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n016.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 15:09:38 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.24/0.49  % Drodi V4.1.1
% 24.47/3.70  % Refutation found
% 24.47/3.70  % SZS status Theorem for theBenchmark: Theorem is valid
% 24.47/3.70  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.56/3.90  % Elapsed time: 3.517070 seconds
% 14.56/3.90  % CPU time: 25.652203 seconds
% 14.56/3.90  % Total memory used: 511.770 MB
% 14.56/3.90  % Net memory used: 505.537 MB
%------------------------------------------------------------------------------