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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR114+17 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/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 12:13:52 PM UTC 2026

% Result   : Theorem 226.30s 29.39s
% Output   : CNFRefutation 227.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   36 (  10 unt;   0 def)
%            Number of atoms       :  304 (   0 equ)
%            Maximal formula atoms :  166 (   8 avg)
%            Number of connectives :  343 (  75   ~;  60   |; 206   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  166 (  11 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-8 aty)
%            Number of functors    :   59 (  59 usr;  55 con; 0-2 aty)
%            Number of variables   :   96 (  75   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f155,axiom,
    ! [X0,X1,X2] :
      ( ( state_adjective_state_binding(X1,X2)
        & prop(X0,X1) )
     => ? [X3,X4,X5] :
          ( val(X4,X2)
          & sub(X4,name_1_1)
          & sub(X3,land_1_1)
          & loc(X0,X5)
          & attr(X3,X4)
          & in(X5,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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(f9067,axiom,
    state_adjective_state_binding(italienisch__1_1,italien_0),
    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(X0,stadt__1_1)
      & sub(X1,name_1_1)
      & scar(X4,X3)
      & prop(X0,italienisch__1_1)
      & loc(X4,X2)
      & attr(X0,X1) ),
    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(X0,stadt__1_1)
        & sub(X1,name_1_1)
        & scar(X4,X3)
        & prop(X0,italienisch__1_1)
        & loc(X4,X2)
        & attr(X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(anschauung_1_1,varia_c)
    & refer(anschauung_1_1,refer_c)
    & quant(anschauung_1_1,one)
    & gener(anschauung_1_1,ge)
    & fact(anschauung_1_1,real)
    & etype(anschauung_1_1,int0)
    & card(anschauung_1_1,int1)
    & sort(anschauung_1_1,io)
    & varia(phantasie_1_1,varia_c)
    & refer(phantasie_1_1,refer_c)
    & quant(phantasie_1_1,one)
    & gener(phantasie_1_1,ge)
    & fact(phantasie_1_1,real)
    & etype(phantasie_1_1,int0)
    & card(phantasie_1_1,int1)
    & sort(phantasie_1_1,io)
    & gener(cm_1_1,ge)
    & sort(cm_1_1,me)
    & card(c89,int4489)
    & sort(c89,nu)
    & varia(leinwand_1_1,varia_c)
    & refer(leinwand_1_1,refer_c)
    & quant(leinwand_1_1,one)
    & gener(leinwand_1_1,ge)
    & fact(leinwand_1_1,real)
    & etype(leinwand_1_1,int0)
    & card(leinwand_1_1,int1)
    & sort(leinwand_1_1,d)
    & card(c79,int1664)
    & sort(c79,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(c82,varia_c)
    & refer(c82,refer_c)
    & quant(c82,quant_c)
    & gener(c82,sp)
    & fact(c82,real)
    & etype(c82,etype_c)
    & card(c82,card_c)
    & sort(c82,ta)
    & sort(c82,oa)
    & sort(c82,me)
    & 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(phantasieansicht_1_1,varia_c)
    & refer(phantasieansicht_1_1,refer_c)
    & quant(phantasieansicht_1_1,one)
    & gener(phantasieansicht_1_1,ge)
    & fact(phantasieansicht_1_1,real)
    & etype(phantasieansicht_1_1,int0)
    & card(phantasieansicht_1_1,int1)
    & sort(phantasieansicht_1_1,io)
    & 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)
    & sort(italienisch__1_1,nq)
    & varia(c78,varia_c)
    & refer(c78,indet)
    & quant(c78,one)
    & gener(c78,sp)
    & fact(c78,real)
    & etype(c78,int0)
    & card(c78,int1)
    & sort(c78,na)
    & varia(palazzo_1_1,varia_c)
    & refer(palazzo_1_1,refer_c)
    & quant(palazzo_1_1,one)
    & gener(palazzo_1_1,ge)
    & fact(palazzo_1_1,real)
    & etype(palazzo_1_1,int0)
    & card(palazzo_1_1,int1)
    & sort(palazzo_1_1,d)
    & varia(c93,con)
    & refer(c93,refer_c)
    & quant(c93,quant_c)
    & gener(c93,gener_c)
    & fact(c93,real)
    & etype(c93,etype_c)
    & card(c93,card_c)
    & sort(c93,m)
    & sort(c93,co)
    & varia(c85,varia_c)
    & refer(c85,refer_c)
    & quant(c85,one)
    & gener(c85,gener_c)
    & fact(c85,real)
    & etype(c85,int0)
    & card(c85,int1)
    & sort(c85,d)
    & varia(c81,con)
    & refer(c81,det)
    & quant(c81,one)
    & gener(c81,sp)
    & fact(c81,real)
    & etype(c81,int0)
    & card(c81,int1)
    & sort(c81,t)
    & varia(c71,varia_c)
    & refer(c71,refer_c)
    & quant(c71,one)
    & gener(c71,gener_c)
    & fact(c71,real)
    & etype(c71,int0)
    & card(c71,int1)
    & sort(c71,io)
    & varia(c67,varia_c)
    & refer(c67,indet)
    & quant(c67,one)
    & gener(c67,sp)
    & fact(c67,real)
    & etype(c67,int0)
    & card(c67,int1)
    & sort(c67,io)
    & sort(c67,d)
    & varia(c61,varia_c)
    & refer(c61,refer_c)
    & quant(c61,one)
    & gener(c61,gener_c)
    & fact(c61,real)
    & etype(c61,int0)
    & card(c61,int1)
    & sort(c61,d)
    & varia(c246,varia_c)
    & refer(c246,refer_c)
    & quant(c246,quant_c)
    & gener(c246,gener_c)
    & fact(c246,real)
    & etype(c246,etype_c)
    & card(c246,card_c)
    & sort(c246,ent)
    & sub(phantasieansicht_1_1,anschauung_1_1)
    & assoc(phantasieansicht_1_1,phantasie_1_1)
    & quant_p3(c93,c89,cm_1_1)
    & sub(c85,leinwand_1_1)
    & val(c82,c79)
    & sub(c82,jahr__1_1)
    & attr(c81,c82)
    & val(c78,rom_0)
    & sub(c78,name_1_1)
    & sub(c71,phantasieansicht_1_1)
    & sub(c67,stadt__1_1)
    & prop(c67,italienisch__1_1)
    & attr(c67,c78)
    & sub(c61,palazzo_1_1)
    & tupl_p8(c246,c61,c67,c71,c67,c81,c85,c93) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10674,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( val(X4,X2)
          & sub(X4,name_1_1)
          & sub(X3,land_1_1)
          & loc(X0,X5)
          & attr(X3,X4)
          & in(X5,X3) )
      | ~ state_adjective_state_binding(X1,X2)
      | ~ prop(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f155]) ).

fof(f10675,plain,
    ! [X0,X2] :
      ( ? [X4] :
          ( val(X4,X2)
          & sub(X4,name_1_1)
          & ? [X3] :
              ( sub(X3,land_1_1)
              & ? [X5] :
                  ( loc(X0,X5)
                  & attr(X3,X4)
                  & in(X5,X3) ) ) )
      | ! [X1] :
          ( ~ state_adjective_state_binding(X1,X2)
          | ~ prop(X0,X1) ) ),
    inference(miniscoping,[status(thm)],[f10674]) ).

fof(f10676,plain,
    ! [X0,X2] :
      ( ( val(sK47_skl(X2,X0),X2)
        & sub(sK47_skl(X2,X0),name_1_1)
        & sub(sK48_skl(X2,X0),land_1_1)
        & loc(X0,sK49_skl(X2,X0))
        & attr(sK48_skl(X2,X0),sK47_skl(X2,X0))
        & in(sK49_skl(X2,X0),sK48_skl(X2,X0)) )
      | ! [X1] :
          ( ~ state_adjective_state_binding(X1,X2)
          | ~ prop(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl]),skolemize(X4,sK47_skl(X2,X0)),skolemize(X3,sK48_skl(X2,X0)),skolemize(X5,sK49_skl(X2,X0))],[f10675]) ).

fof(f10679,plain,
    ! [X0,X1,X2] :
      ( loc(X0,sK49_skl(X2,X0))
      | ~ state_adjective_state_binding(X1,X2)
      | ~ prop(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10676]) ).

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(f19694,plain,
    state_adjective_state_binding(italienisch__1_1,italien_0),
    inference(cnf_transformation,[status(thm)],[f9067]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ val(X1,rom_0)
      | ~ subs(X4,stehen_1_1)
      | ~ sub(X0,stadt__1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X4,X3)
      | ~ prop(X0,italienisch__1_1)
      | ~ loc(X4,X2)
      | ~ attr(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X1] :
      ( ~ val(X1,rom_0)
      | ! [X4] :
          ( ~ subs(X4,stehen_1_1)
          | ! [X0] :
              ( ~ sub(X0,stadt__1_1)
              | ~ sub(X1,name_1_1)
              | ! [X3] : ~ scar(X4,X3)
              | ~ prop(X0,italienisch__1_1)
              | ! [X2] : ~ loc(X4,X2)
              | ~ attr(X0,X1) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ val(X1,rom_0)
      | ~ subs(X2,stehen_1_1)
      | ~ sub(X0,stadt__1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X2,X4)
      | ~ prop(X0,italienisch__1_1)
      | ~ loc(X2,X3)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20820,plain,
    attr(c67,c78),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20821,plain,
    prop(c67,italienisch__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20822,plain,
    sub(c67,stadt__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    sub(c78,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    val(c78,rom_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21019,plain,
    ! [X0,X1,X2,X3] :
      ( ~ val(X0,rom_0)
      | ~ subs(X1,stehen_1_1)
      | ~ sub(X0,name_1_1)
      | ~ scar(X1,X3)
      | ~ prop(c67,italienisch__1_1)
      | ~ loc(X1,X2)
      | ~ attr(c67,X0) ),
    inference(resolution,[status(thm)],[f20822,f20817]) ).

fof(f21020,plain,
    ! [X0,X1,X2,X3] :
      ( ~ val(X0,rom_0)
      | ~ subs(X1,stehen_1_1)
      | ~ sub(X0,name_1_1)
      | ~ scar(X1,X3)
      | ~ loc(X1,X2)
      | ~ attr(c67,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21019,f20821]) ).

fof(f21031,plain,
    ! [X0,X1,X2] :
      ( ~ val(c78,rom_0)
      | ~ subs(X0,stehen_1_1)
      | ~ scar(X0,X2)
      | ~ loc(X0,X1)
      | ~ attr(c67,c78) ),
    inference(resolution,[status(thm)],[f20824,f21020]) ).

fof(f21034,plain,
    ! [X0,X1,X2] :
      ( ~ val(c78,rom_0)
      | ~ subs(X0,stehen_1_1)
      | ~ scar(X0,X2)
      | ~ loc(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21031,f20820]) ).

fof(f21036,plain,
    ! [X0,X1,X2] :
      ( ~ subs(X0,stehen_1_1)
      | ~ scar(X0,X2)
      | ~ loc(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21034,f20825]) ).

fof(f21037,plain,
    ! [X0,X1,X2,X3] :
      ( ~ loc(X1,X0)
      | ~ scar(sK62_skl(X0,X1),X3)
      | ~ loc(sK62_skl(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f21036,f10805]) ).

fof(f21254,plain,
    ! [X0,X1,X2] :
      ( ~ loc(X0,X1)
      | ~ scar(sK62_skl(X1,X0),X2)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f10803,f21037]) ).

fof(f21257,plain,
    ! [X0,X1,X2] :
      ( ~ scar(sK62_skl(X1,X0),X2)
      | ~ loc(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f21254]) ).

fof(f21260,plain,
    ! [X0,X1] : ~ loc(X0,X1),
    inference(forward_subsumption_resolution,[status(thm)],[f10804,f21257]) ).

fof(f21268,plain,
    ! [X0,X1,X2] :
      ( ~ state_adjective_state_binding(X1,X2)
      | ~ prop(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f10679,f21260]) ).

fof(f21269,plain,
    ! [X0] : ~ state_adjective_state_binding(italienisch__1_1,X0),
    inference(resolution,[status(thm)],[f21268,f20821]) ).

fof(f21271,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f19694,f21269]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR114+17 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42  % Computer : n001.cluster.edu
% 0.16/0.42  % Model    : x86_64 x86_64
% 0.16/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42  % Memory   : 8046.5625MB
% 0.16/0.42  % OS       : Linux 6.8.0-71-generic
% 0.16/0.42  % CPULimit : 300
% 0.16/0.42  % WCLimit  : 300
% 0.16/0.42  % DateTime : Mon Sep 21 15:10:14 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.38/0.69  % Drodi V4.1.1
% 226.30/29.39  % Refutation found
% 226.30/29.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 226.30/29.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.75/29.51  % Elapsed time: 29.067534 seconds
% 7.75/29.51  % CPU time: 227.256281 seconds
% 7.75/29.51  % Total memory used: 691.720 MB
% 7.75/29.51  % Net memory used: 643.778 MB
%------------------------------------------------------------------------------