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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR114+27 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n006.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 7.05s 21.46s
% Output   : CNFRefutation 7.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   46 (  11 unt;   5 def)
%            Number of atoms       :  256 (   0 equ)
%            Maximal formula atoms :  105 (   5 avg)
%            Number of connectives :  301 (  91   ~;  78   |; 126   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  105 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   6 prp; 0-2 aty)
%            Number of functors    :   33 (  33 usr;  32 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/sandbox2/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/sandbox2/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,
    ( 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(c32,varia_c)
    & refer(c32,indet)
    & quant(c32,one)
    & gener(c32,sp)
    & fact(c32,real)
    & etype(c32,int0)
    & card(c32,int1)
    & sort(c32,na)
    & varia(c31,con)
    & refer(c31,det)
    & quant(c31,one)
    & gener(c31,sp)
    & fact(c31,real)
    & etype(c31,int0)
    & card(c31,int1)
    & sort(c31,io)
    & sort(c31,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(c34,con)
    & refer(c34,det)
    & quant(c34,one)
    & gener(c34,sp)
    & fact(c34,real)
    & etype(c34,int0)
    & card(c34,int1)
    & sort(c34,l)
    & varia(c25,con)
    & refer(c25,det)
    & quant(c25,one)
    & gener(c25,sp)
    & fact(c25,real)
    & etype(c25,int0)
    & card(c25,int1)
    & sort(c25,d)
    & varia(konzert__1_1,varia_c)
    & refer(konzert__1_1,refer_c)
    & quant(konzert__1_1,one)
    & gener(konzert__1_1,ge)
    & fact(konzert__1_1,real)
    & etype(konzert__1_1,int0)
    & card(konzert__1_1,int1)
    & sort(konzert__1_1,io)
    & sort(konzert__1_1,d)
    & sort(konzert__1_1,ad)
    & varia(c35,con)
    & refer(c35,det)
    & quant(c35,one)
    & gener(c35,sp)
    & fact(c35,real)
    & etype(c35,int0)
    & card(c35,int1)
    & sort(c35,l)
    & gener(aufnehmen_1_1,ge)
    & fact(aufnehmen_1_1,real)
    & sort(aufnehmen_1_1,dn)
    & varia(c21,con)
    & refer(c21,det)
    & quant(c21,one)
    & gener(c21,sp)
    & fact(c21,real)
    & etype(c21,int0)
    & card(c21,int1)
    & sort(c21,io)
    & sort(c21,d)
    & sort(c21,ad)
    & gener(c16,sp)
    & fact(c16,real)
    & sort(c16,dn)
    & in(c35,c25)
    & in(c34,c31)
    & val(c32,rom_0)
    & sub(c32,name_1_1)
    & sub(c31,stadt__1_1)
    & attr(c31,c32)
    & sub(c25,kolosseum_1_1)
    & loc(c25,c34)
    & sub(c21,konzert__1_1)
    & loc(c21,c35)
    & subs(c16,aufnehmen_1_1)
    & obj(c16,c21) ),
    file('/export/starexec/sandbox2/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(f20822,plain,
    loc(c25,c34),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20823,plain,
    sub(c25,kolosseum_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    attr(c31,c32),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    sub(c31,stadt__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    sub(c32,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    val(c32,rom_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20828,plain,
    in(c34,c31),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20964,definition,
    ( sQ1_spl
  <=> sub(c32,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f20966,plain,
    ( sQ1_spl
    | ~ sub(c32,name_1_1) ),
    inference(component_clause,[status(thm)],[f20964]) ).

fof(f20983,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(c31,X1)
      | ~ in(X0,c31) ),
    inference(resolution,[status(thm)],[f20825,f20817]) ).

fof(f20985,definition,
    ! [X0,X2,X3] :
      ( sQ3_spl
    <=> ( ~ subs(X2,stehen_1_1)
        | ~ sub(X3,kolosseum_1_1)
        | ~ scar(X2,X3)
        | ~ loc(X2,X0)
        | ~ in(X0,c31) ) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f20986,plain,
    ! [X0,X1,X2] :
      ( ~ sQ3_spl
      | ~ subs(X1,stehen_1_1)
      | ~ sub(X2,kolosseum_1_1)
      | ~ scar(X1,X2)
      | ~ loc(X1,X0)
      | ~ in(X0,c31) ),
    inference(component_clause,[status(thm)],[f20985]) ).

fof(f20988,definition,
    ! [X1] :
      ( sQ4_spl
    <=> ( ~ val(X1,rom_0)
        | ~ sub(X1,name_1_1)
        | ~ attr(c31,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f20989,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ val(X0,rom_0)
      | ~ sub(X0,name_1_1)
      | ~ attr(c31,X0) ),
    inference(component_clause,[status(thm)],[f20988]) ).

fof(f20991,plain,
    ( sQ4_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f20983,f20985,f20988]) ).

fof(f20992,plain,
    ( sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20826,f20966]) ).

fof(f20993,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f20992]) ).

fof(f21014,plain,
    ! [X0,X1,X2] :
      ( ~ sQ3_spl
      | ~ subs(sK62_skl(X1,X0),stehen_1_1)
      | ~ sub(X0,kolosseum_1_1)
      | ~ loc(sK62_skl(X1,X0),X2)
      | ~ in(X2,c31)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f10804,f20986]) ).

fof(f21019,plain,
    ! [X0,X1,X2] :
      ( ~ sQ3_spl
      | ~ sub(X0,kolosseum_1_1)
      | ~ loc(sK62_skl(X1,X0),X2)
      | ~ in(X2,c31)
      | ~ loc(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21014,f10805]) ).

fof(f21021,plain,
    ! [X0,X1] :
      ( ~ sQ3_spl
      | ~ sub(X0,kolosseum_1_1)
      | ~ loc(sK62_skl(X1,X0),c34)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f21019,f20828]) ).

fof(f21022,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ loc(sK62_skl(X0,c25),c34)
      | ~ loc(c25,X0) ),
    inference(resolution,[status(thm)],[f21021,f20823]) ).

fof(f21029,plain,
    ( ~ sQ3_spl
    | ~ loc(c25,c34)
    | ~ loc(c25,c34) ),
    inference(resolution,[status(thm)],[f21022,f10803]) ).

fof(f21032,definition,
    ( sQ6_spl
  <=> loc(c25,c34) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21034,plain,
    ( sQ6_spl
    | ~ loc(c25,c34) ),
    inference(component_clause,[status(thm)],[f21032]) ).

fof(f21035,plain,
    ( ~ sQ3_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f21029,f21032,f20985]) ).

fof(f21036,plain,
    ( sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21034,f20822]) ).

fof(f21037,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f21036]) ).

fof(f21038,plain,
    ( ~ sQ4_spl
    | ~ sub(c32,name_1_1)
    | ~ attr(c31,c32) ),
    inference(resolution,[status(thm)],[f20989,f20827]) ).

fof(f21039,definition,
    ( sQ7_spl
  <=> attr(c31,c32) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f21041,plain,
    ( sQ7_spl
    | ~ attr(c31,c32) ),
    inference(component_clause,[status(thm)],[f21039]) ).

fof(f21042,plain,
    ( ~ sQ4_spl
    | ~ sQ1_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f21038,f21039,f20964,f20988]) ).

fof(f21043,plain,
    ( sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21041,f20824]) ).

fof(f21044,plain,
    sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f21043]) ).

fof(f21045,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f20991,f20993,f21035,f21037,f21042,f21044]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR114+27 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/20.40  % Computer : n006.cluster.edu
% 0.03/20.40  % Model    : x86_64 x86_64
% 0.03/20.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/20.40  % Memory   : 8046.5625MB
% 0.03/20.40  % OS       : Linux 6.8.0-71-generic
% 0.03/20.40  % CPULimit : 300
% 0.03/20.40  % WCLimit  : 300
% 0.03/20.40  % DateTime : Mon Sep 21 15:05:04 UTC 2026
% 0.03/20.40  % CPUTime  : 
% 0.15/20.53  % Drodi V4.1.1
% 7.05/21.46  % Refutation found
% 7.05/21.46  % SZS status Theorem for theBenchmark: Theorem is valid
% 7.05/21.46  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.92/21.57  % Elapsed time: 1.152949 seconds
% 3.92/21.57  % CPU time: 7.626993 seconds
% 3.92/21.57  % Total memory used: 467.395 MB
% 3.92/21.57  % Net memory used: 464.899 MB
%------------------------------------------------------------------------------