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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR114+28 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n012.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 14.33s 7.30s
% Output   : CNFRefutation 13.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   45 (  10 unt;   4 def)
%            Number of atoms       :  266 (   0 equ)
%            Maximal formula atoms :  134 (   5 avg)
%            Number of connectives :  295 (  74   ~;  60   |; 155   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  134 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   23 (  22 usr;   5 prp; 0-6 aty)
%            Number of functors    :   44 (  44 usr;  42 con; 0-2 aty)
%            Number of variables   :   75 (  64   !;  11   ?)

% 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(f10188,conjecture,
    ? [X0,X1,X2,X3] :
      ( val(X1,rom_0)
      & sub(X0,stadt__1_1)
      & sub(X1,name_1_1)
      & scar(X3,X2)
      & attr(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f10190,hypothesis,
    ( varia(c895,varia_c)
    & refer(c895,refer_c)
    & quant(c895,quant_c)
    & gener(c895,gener_c)
    & fact(c895,real)
    & etype(c895,etype_c)
    & card(c895,card_c)
    & sort(c895,ent)
    & 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(c621,varia_c)
    & refer(c621,indet)
    & quant(c621,one)
    & gener(c621,sp)
    & fact(c621,real)
    & etype(c621,int0)
    & card(c621,int1)
    & sort(c621,na)
    & varia(c620,con)
    & refer(c620,det)
    & quant(c620,one)
    & gener(c620,sp)
    & fact(c620,real)
    & etype(c620,int0)
    & card(c620,int1)
    & sort(c620,io)
    & sort(c620,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(c614,con)
    & refer(c614,det)
    & quant(c614,one)
    & gener(c614,sp)
    & fact(c614,real)
    & etype(c614,int0)
    & card(c614,int1)
    & sort(c614,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(c609,varia_c)
    & refer(c609,refer_c)
    & quant(c609,one)
    & gener(c609,gener_c)
    & fact(c609,real)
    & etype(c609,int0)
    & card(c609,int1)
    & sort(c609,o)
    & varia(c582,con)
    & refer(c582,det)
    & quant(c582,one)
    & gener(c582,sp)
    & fact(c582,real)
    & etype(c582,int0)
    & card(c582,int1)
    & sort(c582,d)
    & varia(architektur_1_1,varia_c)
    & refer(architektur_1_1,refer_c)
    & quant(architektur_1_1,one)
    & gener(architektur_1_1,ge)
    & fact(architektur_1_1,real)
    & etype(architektur_1_1,int0)
    & card(architektur_1_1,int1)
    & sort(architektur_1_1,io)
    & varia(c573,con)
    & refer(c573,det)
    & quant(c573,one)
    & gener(c573,sp)
    & fact(c573,real)
    & etype(c573,int0)
    & card(c573,int1)
    & sort(c573,io)
    & varia(fassade_1_1,varia_c)
    & refer(fassade_1_1,refer_c)
    & quant(fassade_1_1,one)
    & gener(fassade_1_1,ge)
    & fact(fassade_1_1,real)
    & etype(fassade_1_1,int0)
    & card(fassade_1_1,int1)
    & sort(fassade_1_1,d)
    & varia(au__337en_1_1,varia_c)
    & refer(au__337en_1_1,refer_c)
    & quant(au__337en_1_1,one)
    & gener(au__337en_1_1,gener_c)
    & fact(au__337en_1_1,real)
    & etype(au__337en_1_1,int0)
    & card(au__337en_1_1,int1)
    & sort(au__337en_1_1,l)
    & varia(au__337enfassade_1_1,varia_c)
    & refer(au__337enfassade_1_1,refer_c)
    & quant(au__337enfassade_1_1,one)
    & gener(au__337enfassade_1_1,ge)
    & fact(au__337enfassade_1_1,real)
    & etype(au__337enfassade_1_1,int0)
    & card(au__337enfassade_1_1,int1)
    & sort(au__337enfassade_1_1,d)
    & tupl_p6(c895,c573,c582,c609,c614,c620)
    & val(c621,rom_0)
    & sub(c621,name_1_1)
    & sub(c620,stadt__1_1)
    & attr(c620,c621)
    & sub(c614,kolosseum_1_1)
    & sub(c609,sich_1_1)
    & sub(c582,au__337enfassade_1_1)
    & sub(c573,architektur_1_1)
    & sub(au__337enfassade_1_1,fassade_1_1)
    & assoc(au__337enfassade_1_1,au__337en_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(f20815,plain,
    ! [X0,X1,X2,X3] :
      ( ~ val(X1,rom_0)
      | ~ sub(X0,stadt__1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X3,X2)
      | ~ attr(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

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

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

fof(f20824,plain,
    attr(c620,c621),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    sub(c620,stadt__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    sub(c621,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    val(c621,rom_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20987,definition,
    ! [X0,X1] :
      ( sQ0_spl
    <=> ( ~ val(X1,rom_0)
        | ~ sub(X0,stadt__1_1)
        | ~ sub(X1,name_1_1)
        | ~ attr(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f20988,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ val(X1,rom_0)
      | ~ sub(X0,stadt__1_1)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20987]) ).

fof(f20990,definition,
    ! [X2,X3] :
      ( sQ1_spl
    <=> ~ scar(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f20991,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ scar(X0,X1) ),
    inference(component_clause,[status(thm)],[f20990]) ).

fof(f20993,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f20987,f20990]) ).

fof(f20998,definition,
    ( sQ3_spl
  <=> sub(c621,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f21000,plain,
    ( sQ3_spl
    | ~ sub(c621,name_1_1) ),
    inference(component_clause,[status(thm)],[f20998]) ).

fof(f21003,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20826,f21000]) ).

fof(f21004,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f21003]) ).

fof(f21006,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,f20991]) ).

fof(f21007,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1_spl
      | ~ member(X2,cons(familiename_1_1,cons(name_1_1,nil)))
      | ~ sub(X1,X2)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21006,f10194]) ).

fof(f21009,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1_spl
      | ~ member(X2,cons(name_1_1,nil))
      | ~ sub(X1,X2)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21007,f10194]) ).

fof(f21014,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21009,f10191]) ).

fof(f21015,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ attr(X0,c621) ),
    inference(resolution,[status(thm)],[f21014,f20826]) ).

fof(f21016,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20824,f21015]) ).

fof(f21017,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21016]) ).

fof(f21018,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ val(X0,rom_0)
      | ~ sub(X0,name_1_1)
      | ~ attr(c620,X0) ),
    inference(resolution,[status(thm)],[f20988,f20825]) ).

fof(f21021,plain,
    ( ~ sQ0_spl
    | ~ sub(c621,name_1_1)
    | ~ attr(c620,c621) ),
    inference(resolution,[status(thm)],[f21018,f20827]) ).

fof(f21022,definition,
    ( sQ4_spl
  <=> attr(c620,c621) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21024,plain,
    ( sQ4_spl
    | ~ attr(c620,c621) ),
    inference(component_clause,[status(thm)],[f21022]) ).

fof(f21025,plain,
    ( ~ sQ0_spl
    | ~ sQ3_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f21021,f21022,f20998,f20987]) ).

fof(f21026,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20824,f21024]) ).

fof(f21027,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21026]) ).

fof(f21028,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f20993,f21004,f21017,f21025,f21027]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR114+28 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/5.31  % Computer : n012.cluster.edu
% 0.04/5.31  % Model    : x86_64 x86_64
% 0.04/5.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/5.31  % Memory   : 8046.5625MB
% 0.04/5.31  % OS       : Linux 6.8.0-71-generic
% 0.04/5.31  % CPULimit : 300
% 0.04/5.31  % WCLimit  : 300
% 0.04/5.31  % DateTime : Mon Sep 21 15:05:02 UTC 2026
% 0.04/5.31  % CPUTime  : 
% 0.07/5.40  % Drodi V4.1.1
% 14.33/7.30  % Refutation found
% 14.33/7.30  % SZS status Theorem for theBenchmark: Theorem is valid
% 14.33/7.30  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.71/7.41  % Elapsed time: 2.091919 seconds
% 0.71/7.41  % CPU time: 15.193378 seconds
% 0.71/7.41  % Total memory used: 496.553 MB
% 0.71/7.41  % Net memory used: 490.406 MB
%------------------------------------------------------------------------------