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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR114+12 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n019.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 12:13:51 PM UTC 2026

% Result   : Theorem 257.28s 33.25s
% Output   : CNFRefutation 257.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (  12 unt;   6 def)
%            Number of atoms       :  311 (   0 equ)
%            Maximal formula atoms :  136 (   6 avg)
%            Number of connectives :  368 ( 108   ~;  96   |; 157   &)
%                                         (   6 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  136 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   31 (  30 usr;   7 prp; 0-3 aty)
%            Number of functors    :   48 (  48 usr;  47 con; 0-2 aty)
%            Number of variables   :   65 (  53   !;  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,
    ( gener(prop_0,gener_c)
    & fact(prop_0,real)
    & sort(prop_0,st)
    & sort(erw__344hnenswert_1_1,ql)
    & 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(c95,varia_c)
    & refer(c95,indet)
    & quant(c95,one)
    & gener(c95,sp)
    & fact(c95,real)
    & etype(c95,int0)
    & card(c95,int1)
    & sort(c95,na)
    & varia(c94,con)
    & refer(c94,det)
    & quant(c94,one)
    & gener(c94,sp)
    & fact(c94,real)
    & etype(c94,int0)
    & card(c94,int1)
    & sort(c94,io)
    & sort(c94,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(c97,con)
    & refer(c97,det)
    & quant(c97,one)
    & gener(c97,sp)
    & fact(c97,real)
    & etype(c97,int0)
    & card(c97,int1)
    & sort(c97,l)
    & varia(c88,con)
    & refer(c88,det)
    & quant(c88,one)
    & gener(c88,sp)
    & fact(c88,real)
    & etype(c88,int0)
    & card(c88,int1)
    & sort(c88,d)
    & varia(c85,varia_c)
    & refer(c85,refer_c)
    & quant(c85,quant_c)
    & gener(c85,gener_c)
    & fact(c85,real)
    & etype(c85,int2)
    & etype(c85,int1)
    & card(c85,card_c)
    & sort(c85,o)
    & sort(zweitgro__337_1_1,mq)
    & varia(amphi_theater_1_1,varia_c)
    & refer(amphi_theater_1_1,refer_c)
    & quant(amphi_theater_1_1,one)
    & gener(amphi_theater_1_1,ge)
    & fact(amphi_theater_1_1,real)
    & etype(amphi_theater_1_1,int0)
    & card(amphi_theater_1_1,int1)
    & sort(amphi_theater_1_1,o)
    & sort(c84,tq)
    & varia(c98,con)
    & refer(c98,det)
    & quant(c98,one)
    & gener(c98,sp)
    & fact(c98,real)
    & etype(c98,int0)
    & card(c98,int1)
    & sort(c98,l)
    & 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)
    & gener(machen_1_6,ge)
    & fact(machen_1_6,real)
    & sort(machen_1_6,da)
    & varia(c80,con)
    & refer(c80,det)
    & quant(c80,one)
    & gener(c80,sp)
    & fact(c80,real)
    & etype(c80,int0)
    & card(c80,int1)
    & sort(c80,o)
    & gener(c99,sp)
    & fact(c99,real)
    & sort(c99,st)
    & varia(c72,con)
    & refer(c72,det)
    & quant(c72,one)
    & gener(c72,sp)
    & fact(c72,real)
    & etype(c72,int0)
    & card(c72,int1)
    & sort(c72,io)
    & sort(c72,d)
    & gener(c4,sp)
    & fact(c4,real)
    & sort(c4,da)
    & subr(c99,prop_0)
    & arg2(c99,erw__344hnenswert_1_1)
    & arg1(c99,c80)
    & hinter(c98,c88)
    & in(c97,c94)
    & val(c95,rom_0)
    & sub(c95,name_1_1)
    & sub(c94,stadt__1_1)
    & attr(c94,c95)
    & sub(c88,kolosseum_1_1)
    & loc(c88,c97)
    & supl(c84,zweitgro__337_1_1,c85)
    & sub(c80,amphi_theater_1_1)
    & prop(c80,c84)
    & loc(c80,c98)
    & sub(c72,stadt__1_1)
    & subs(c4,machen_1_6)
    & obj(c4,c80)
    & caus(c4,c99)
    & agt(c4,c72) ),
    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] :
      ( ~ loc(X1,X0)
      | subs(sK62_skl(X0,X1),stehen_1_1) ),
    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] :
      ( ~ scar(X2,X0)
      | ~ val(X1,rom_0)
      | ~ loc(X2,X4)
      | ~ in(X4,X3)
      | ~ sub(X3,stadt__1_1)
      | ~ attr(X3,X1)
      | ~ subs(X2,stehen_1_1)
      | ~ sub(X1,name_1_1)
      | ~ sub(X0,kolosseum_1_1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20827,plain,
    loc(c88,c97),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20828,plain,
    sub(c88,kolosseum_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20829,plain,
    attr(c94,c95),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20830,plain,
    sub(c94,stadt__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20831,plain,
    sub(c95,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20832,plain,
    val(c95,rom_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20833,plain,
    in(c97,c94),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20989,plain,
    ! [X0,X1,X2,X3] :
      ( ~ scar(X1,X0)
      | ~ loc(X1,X3)
      | ~ in(X3,X2)
      | ~ sub(X2,stadt__1_1)
      | ~ attr(X2,c95)
      | ~ subs(X1,stehen_1_1)
      | ~ sub(c95,name_1_1)
      | ~ sub(X0,kolosseum_1_1) ),
    inference(resolution,[status(thm)],[f20832,f20817]) ).

fof(f20990,definition,
    ! [X0,X1,X2,X3] :
      ( sQ0_spl
    <=> ( ~ scar(X1,X0)
        | ~ loc(X1,X3)
        | ~ in(X3,X2)
        | ~ sub(X2,stadt__1_1)
        | ~ attr(X2,c95)
        | ~ subs(X1,stehen_1_1)
        | ~ sub(X0,kolosseum_1_1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f20991,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ0_spl
      | ~ attr(X0,c95)
      | ~ subs(X1,stehen_1_1)
      | ~ loc(X1,X3)
      | ~ sub(X2,kolosseum_1_1)
      | ~ in(X3,X0)
      | ~ scar(X1,X2)
      | ~ sub(X0,stadt__1_1) ),
    inference(component_clause,[status(thm)],[f20990]) ).

fof(f20993,definition,
    ( sQ1_spl
  <=> sub(c95,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f20995,plain,
    ( sQ1_spl
    | ~ sub(c95,name_1_1) ),
    inference(component_clause,[status(thm)],[f20993]) ).

fof(f20996,plain,
    ( ~ sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20989,f20990,f20993]) ).

fof(f21717,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ attr(c94,c95)
      | ~ scar(X2,X0)
      | ~ subs(X2,stehen_1_1)
      | ~ loc(X2,X1)
      | ~ in(X1,c94)
      | ~ sub(X0,kolosseum_1_1) ),
    inference(resolution,[status(thm)],[f20830,f20991]) ).

fof(f21722,definition,
    ! [X0,X2,X3] :
      ( sQ91_spl
    <=> ( ~ scar(X2,X0)
        | ~ loc(X2,X3)
        | ~ in(X3,c94)
        | ~ subs(X2,stehen_1_1)
        | ~ sub(X0,kolosseum_1_1) ) ),
    introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).

fof(f21723,plain,
    ! [X0,X1,X2] :
      ( ~ sQ91_spl
      | ~ subs(X0,stehen_1_1)
      | ~ loc(X0,X2)
      | ~ in(X2,c94)
      | ~ sub(X1,kolosseum_1_1)
      | ~ scar(X0,X1) ),
    inference(component_clause,[status(thm)],[f21722]) ).

fof(f21736,definition,
    ( sQ95_spl
  <=> attr(c94,c95) ),
    introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).

fof(f21738,plain,
    ( sQ95_spl
    | ~ attr(c94,c95) ),
    inference(component_clause,[status(thm)],[f21736]) ).

fof(f21739,plain,
    ( ~ sQ0_spl
    | ~ sQ95_spl
    | sQ91_spl ),
    inference(split_clause,[status(thm)],[f21717,f21722,f21736,f20990]) ).

fof(f21740,plain,
    ( sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20995,f20831]) ).

fof(f21741,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21740]) ).

fof(f21742,plain,
    ! [X0,X1] :
      ( ~ sQ91_spl
      | ~ loc(X0,X1)
      | ~ in(X1,c94)
      | ~ subs(X0,stehen_1_1)
      | ~ scar(X0,c88) ),
    inference(resolution,[status(thm)],[f21723,f20828]) ).

fof(f21752,definition,
    ( sQ97_spl
  <=> in(c97,c94) ),
    introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).

fof(f21753,plain,
    ( ~ sQ97_spl
    | in(c97,c94) ),
    inference(component_clause,[status(thm)],[f21752]) ).

fof(f21754,plain,
    ( sQ97_spl
    | ~ in(c97,c94) ),
    inference(component_clause,[status(thm)],[f21752]) ).

fof(f22896,plain,
    ( sQ95_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20829,f21738]) ).

fof(f22897,plain,
    sQ95_spl,
    inference(contradiction_clause,[status(thm)],[f22896]) ).

fof(f23492,plain,
    ( sQ97_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20833,f21754]) ).

fof(f23493,plain,
    sQ97_spl,
    inference(contradiction_clause,[status(thm)],[f23492]) ).

fof(f23505,plain,
    ! [X0] :
      ( ~ sQ91_spl
      | ~ sQ97_spl
      | ~ loc(X0,c97)
      | ~ scar(X0,c88)
      | ~ subs(X0,stehen_1_1) ),
    inference(resolution,[status(thm)],[f21753,f21742]) ).

fof(f27023,plain,
    ! [X0] :
      ( ~ sQ91_spl
      | ~ sQ97_spl
      | ~ scar(sK62_skl(c97,X0),c88)
      | ~ subs(sK62_skl(c97,X0),stehen_1_1)
      | ~ loc(X0,c97) ),
    inference(resolution,[status(thm)],[f10803,f23505]) ).

fof(f27044,plain,
    ! [X0] :
      ( ~ sQ91_spl
      | ~ sQ97_spl
      | ~ scar(sK62_skl(c97,X0),c88)
      | ~ loc(X0,c97) ),
    inference(forward_subsumption_resolution,[status(thm)],[f27023,f10805]) ).

fof(f27057,plain,
    ( ~ sQ91_spl
    | ~ sQ97_spl
    | ~ loc(c88,c97)
    | ~ loc(c88,c97) ),
    inference(resolution,[status(thm)],[f27044,f10804]) ).

fof(f27058,definition,
    ( sQ906_spl
  <=> loc(c88,c97) ),
    introduced(definition,[new_symbols(definition,[sQ906_spl])],[split_symbol_definition]) ).

fof(f27060,plain,
    ( sQ906_spl
    | ~ loc(c88,c97) ),
    inference(component_clause,[status(thm)],[f27058]) ).

fof(f27061,plain,
    ( ~ sQ91_spl
    | ~ sQ97_spl
    | ~ sQ906_spl ),
    inference(split_clause,[status(thm)],[f27057,f27058,f21752,f21722]) ).

fof(f27062,plain,
    ( sQ906_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f27060,f20827]) ).

fof(f27063,plain,
    sQ906_spl,
    inference(contradiction_clause,[status(thm)],[f27062]) ).

fof(f27064,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f20996,f21739,f21741,f22897,f23493,f27061,f27063]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR114+12 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n019.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 15:04:21 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.23/0.51  % Drodi V4.1.1
% 257.28/33.25  % Refutation found
% 257.28/33.25  % SZS status Theorem for theBenchmark: Theorem is valid
% 257.28/33.25  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 12.95/33.63  % Elapsed time: 33.233871 seconds
% 12.95/33.63  % CPU time: 259.991697 seconds
% 12.95/33.63  % Total memory used: 991.438 MB
% 12.95/33.63  % Net memory used: 947.621 MB
%------------------------------------------------------------------------------