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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR113+16 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n015.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 274.22s 35.35s
% Output   : CNFRefutation 274.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   38 (   8 unt;   4 def)
%            Number of atoms       :  296 (   0 equ)
%            Maximal formula atoms :  189 (   7 avg)
%            Number of connectives :  322 (  64   ~;  49   |; 204   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  189 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   29 (  28 usr;   5 prp; 0-2 aty)
%            Number of functors    :   52 (  52 usr;  51 con; 0-2 aty)
%            Number of variables   :   64 (  52   !;  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,new_york_0)
      & subs(X3,stehen_1_1)
      & sub(X1,name_1_1)
      & scar(X3,X4)
      & loc(X3,X0)
      & attr(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4] :
        ( val(X1,new_york_0)
        & subs(X3,stehen_1_1)
        & sub(X1,name_1_1)
        & scar(X3,X4)
        & loc(X3,X0)
        & attr(X2,X1) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( gener(plazieren_1_1,ge)
    & fact(plazieren_1_1,real)
    & sort(plazieren_1_1,da)
    & 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)
    & sort(new_jersey_0,fe)
    & varia(gebietsinstitution_1_1,varia_c)
    & refer(gebietsinstitution_1_1,refer_c)
    & quant(gebietsinstitution_1_1,one)
    & gener(gebietsinstitution_1_1,ge)
    & fact(gebietsinstitution_1_1,real)
    & etype(gebietsinstitution_1_1,int0)
    & card(gebietsinstitution_1_1,int1)
    & sort(gebietsinstitution_1_1,io)
    & sort(gebietsinstitution_1_1,d)
    & varia(c55268,varia_c)
    & refer(c55268,indet)
    & quant(c55268,one)
    & gener(c55268,sp)
    & fact(c55268,real)
    & etype(c55268,int0)
    & card(c55268,int1)
    & sort(c55268,na)
    & gener(geh__366ren_1_3,ge)
    & fact(geh__366ren_1_3,real)
    & sort(geh__366ren_1_3,st)
    & varia(c55267,con)
    & refer(c55267,det)
    & quant(c55267,one)
    & gener(c55267,sp)
    & fact(c55267,real)
    & etype(c55267,int0)
    & card(c55267,int1)
    & sort(c55267,io)
    & sort(c55267,d)
    & varia(c55070,varia_c)
    & refer(c55070,det)
    & quant(c55070,one)
    & gener(c55070,sp)
    & fact(c55070,real)
    & etype(c55070,int0)
    & card(c55070,int1)
    & sort(c55070,o)
    & gener(c55236,sp)
    & fact(c55236,real)
    & sort(c55236,st)
    & gener(equ_0,gener_c)
    & fact(equ_0,real)
    & sort(equ_0,st)
    & gener(nicht_1_1,gener_c)
    & fact(nicht_1_1,real)
    & sort(nicht_1_1,md)
    & sort(c7,tq)
    & gener(c54369,sp)
    & fact(c54369,real)
    & sort(c54369,st)
    & varia(c50180,varia_c)
    & refer(c50180,det)
    & quant(c50180,one)
    & gener(c50180,sp)
    & fact(c50180,real)
    & etype(c50180,int0)
    & card(c50180,int1)
    & sort(c50180,o)
    & varia(insel__1_1,varia_c)
    & refer(insel__1_1,refer_c)
    & quant(insel__1_1,one)
    & gener(insel__1_1,ge)
    & fact(insel__1_1,real)
    & etype(insel__1_1,int0)
    & card(insel__1_1,int1)
    & sort(insel__1_1,d)
    & varia(c55271,varia_c)
    & refer(c55271,det)
    & quant(c55271,one)
    & gener(c55271,sp)
    & fact(c55271,real)
    & etype(c55271,int0)
    & card(c55271,int1)
    & sort(c55271,l)
    & varia(c50171,con)
    & refer(c50171,det)
    & quant(c50171,one)
    & gener(c50171,sp)
    & fact(c50171,real)
    & etype(c50171,int0)
    & card(c50171,int1)
    & sort(c50171,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(c42,varia_c)
    & refer(c42,indet)
    & quant(c42,one)
    & gener(c42,sp)
    & fact(c42,real)
    & etype(c42,int0)
    & card(c42,int1)
    & sort(c42,na)
    & varia(c41,con)
    & refer(c41,det)
    & quant(c41,one)
    & gener(c41,sp)
    & fact(c41,real)
    & etype(c41,int0)
    & card(c41,int1)
    & sort(c41,io)
    & sort(c41,d)
    & 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)
    & gener(geh__366ren_1_1,ge)
    & fact(geh__366ren_1_1,real)
    & sort(geh__366ren_1_1,st)
    & varia(c33,con)
    & refer(c33,det)
    & quant(c33,one)
    & gener(c33,sp)
    & fact(c33,real)
    & etype(c33,int0)
    & card(c33,int1)
    & sort(c33,d)
    & gener(c24,sp)
    & fact(c24,real)
    & sort(c24,st)
    & chsp2(plazieren_1_1,c7)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & auf(c55271,c33)
    & val(c55268,new_jersey_0)
    & sub(c55268,name_1_1)
    & sub(c55267,gebietsinstitution_1_1)
    & attr(c55267,c55268)
    & subs(c55236,geh__366ren_1_3)
    & semrel(c55236,c54369)
    & arg2(c55236,c55267)
    & arg1(c55236,c55070)
    & subr(c54369,equ_0)
    & semrel(c54369,c24)
    & modl(c54369,nicht_1_1)
    & assoc(c54369,c7)
    & arg2(c54369,c50171)
    & arg1(c54369,c50180)
    & equ(c50180,c50171)
    & sub(c50171,insel__1_1)
    & loc(c50171,c55271)
    & val(c42,new_york_0)
    & sub(c42,name_1_1)
    & sub(c41,stadt__1_1)
    & attr(c41,c42)
    & attch(c41,c33)
    & sub(c33,freiheitsstatue_1_1)
    & subs(c24,geh__366ren_1_1)
    & scar(c24,c33) ),
    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,new_york_0)
      | ~ subs(X3,stehen_1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X3,X4)
      | ~ loc(X3,X0)
      | ~ attr(X2,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X1] :
      ( ~ val(X1,new_york_0)
      | ! [X3] :
          ( ~ subs(X3,stehen_1_1)
          | ~ sub(X1,name_1_1)
          | ! [X4] : ~ scar(X3,X4)
          | ! [X0] : ~ loc(X3,X0)
          | ! [X2] : ~ attr(X2,X1) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ val(X1,new_york_0)
      | ~ subs(X2,stehen_1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X2,X4)
      | ~ loc(X2,X3)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20822,plain,
    attr(c41,c42),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    sub(c42,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    val(c42,new_york_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    loc(c50171,c55271),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21042,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(f21043,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ val(X1,new_york_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21042]) ).

fof(f21045,definition,
    ! [X2,X3,X4] :
      ( sQ1_spl
    <=> ( ~ subs(X2,stehen_1_1)
        | ~ scar(X2,X4)
        | ~ loc(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21046,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1_spl
      | ~ subs(X0,stehen_1_1)
      | ~ scar(X0,X2)
      | ~ loc(X0,X1) ),
    inference(component_clause,[status(thm)],[f21045]) ).

fof(f21048,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21042,f21045]) ).

fof(f21049,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sub(c42,name_1_1)
      | ~ attr(X0,c42) ),
    inference(resolution,[status(thm)],[f20825,f21043]) ).

fof(f21050,definition,
    ! [X0] :
      ( sQ2_spl
    <=> ~ attr(X0,c42) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21051,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ attr(X0,c42) ),
    inference(component_clause,[status(thm)],[f21050]) ).

fof(f21053,definition,
    ( sQ3_spl
  <=> sub(c42,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f21055,plain,
    ( sQ3_spl
    | ~ sub(c42,name_1_1) ),
    inference(component_clause,[status(thm)],[f21053]) ).

fof(f21056,plain,
    ( ~ sQ0_spl
    | ~ sQ3_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f21049,f21050,f21053,f21042]) ).

fof(f21057,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21055,f20824]) ).

fof(f21058,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f21057]) ).

fof(f21059,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20822,f21051]) ).

fof(f21060,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21059]) ).

fof(f21061,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ1_spl
      | ~ loc(X1,X0)
      | ~ scar(sK62_skl(X0,X1),X3)
      | ~ loc(sK62_skl(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f21046,f10805]) ).

fof(f21143,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1_spl
      | ~ loc(X0,X1)
      | ~ loc(sK62_skl(X1,X0),X2)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f10804,f21061]) ).

fof(f21144,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ loc(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f10803,f21145]) ).

fof(f21145,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1_spl
      | ~ loc(sK62_skl(X1,X0),X2)
      | ~ loc(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f21143]) ).

fof(f21146,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20826,f21144]) ).

fof(f21155,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21146]) ).

fof(f21156,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21048,f21056,f21058,f21060,f21155]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR113+16 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n015.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 15:06:07 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.27/0.60  % Drodi V4.1.1
% 274.22/35.35  % Refutation found
% 274.22/35.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 274.22/35.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 34.63/35.66  % Elapsed time: 35.258024 seconds
% 34.63/35.66  % CPU time: 276.079216 seconds
% 34.63/35.66  % Total memory used: 876.538 MB
% 34.63/35.66  % Net memory used: 834.955 MB
%------------------------------------------------------------------------------