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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR117+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% 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 : Tue Sep 29 09:43:43 AM UTC 2026

% Result   : Theorem 2.10s 0.64s
% Output   : Refutation 2.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  134 (  52 unt;   6 def)
%            Number of atoms       :  433 (  23 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  570 ( 271   ~; 243   |;  39   &)
%                                         (   6 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   26 (  24 usr;   7 prp; 0-5 aty)
%            Number of functors    :   20 (  20 usr;  18 con; 0-1 aty)
%            Number of variables   :  161 (   0 sgn 136   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [X0] :
      ( s__Region(X0)
     => s__Object(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_MILO_701) ).

fof(f16,axiom,
    ! [X0] :
      ( s__GeographicArea(X0)
     => s__Region(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_MILO_6365) ).

fof(f17,axiom,
    ! [X0] :
      ( s__GeopoliticalArea(X0)
     => s__GeographicArea(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_MILO_6345) ).

fof(f18,axiom,
    ! [X0] :
      ( s__Nation(X0)
     => s__GeopoliticalArea(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_MILO_6428) ).

fof(f19,axiom,
    ! [X0] :
      ( s__City(X0)
     => s__GeopoliticalArea(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_MILO_6437) ).

fof(f21,axiom,
    ! [X0] :
      ( s__BodyOfWater(X0)
     => s__WaterArea(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_MILO_Domains_9582) ).

fof(f22,axiom,
    ! [X0] :
      ( s__Sea(X0)
     => s__BodyOfWater(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_MILO_Domains_9679) ).

fof(f27,axiom,
    ! [X0] :
      ( s__City(X0)
     => ( is_instance(X0,s__CoastalCitiesClass)
       => ? [X1] :
            ( s__Sea(X1)
            & s__orientation(X0,X1,s__Near) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',coastal_cities_near_water) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( ( s__WaterArea(X0)
        & s__City(X1) )
     => ( s__orientation(X1,X0,s__Near)
       => s__capability(s__Flooding__t,s__located__m,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',flood_near_water) ).

fof(f29,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( s__Object(X0)
      & s__Object(X1)
      & real(X2)
      & real(X3)
      & s__SymbolicString(X4)
      & s__SymbolicString(X5)
      & int(X6)
      & real(X7)
      & real(X8)
      & s__SymbolicString(X9)
      & s__SymbolicString(X10)
      & is_instance(X1,s__OECDMemberEconomiesClass)
      & capital_city(X0,X1)
      & look_different(X0,s__Moscow)
      & latlong(X0,X2,X3,X4,X5)
      & latlong(s__Moscow,X7,X8,X9,X10)
      & to_int(X2) = to_int(X7)
      & s__capability(s__Flooding__t,s__located__m,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',where) ).

fof(f30,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
        ( s__Object(X0)
        & s__Object(X1)
        & real(X2)
        & real(X3)
        & s__SymbolicString(X4)
        & s__SymbolicString(X5)
        & int(X6)
        & real(X7)
        & real(X8)
        & s__SymbolicString(X9)
        & s__SymbolicString(X10)
        & is_instance(X1,s__OECDMemberEconomiesClass)
        & capital_city(X0,X1)
        & look_different(X0,s__Moscow)
        & latlong(X0,X2,X3,X4,X5)
        & latlong(s__Moscow,X7,X8,X9,X10)
        & to_int(X2) = to_int(X7)
        & s__capability(s__Flooding__t,s__located__m,X0) ),
    inference(negated_conjecture,[status(cth)],[f29]) ).

fof(f35,axiom,
    is_instance(s__Copenhagen,s__CoastalCitiesClass),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',copenhagen_coastal) ).

fof(f40,axiom,
    s__Nation(s__Denmark),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s__Denmark_type) ).

fof(f41,axiom,
    is_instance(s__Denmark,s__OECDMemberEconomiesClass),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s__Denmark_OECD) ).

fof(f102,axiom,
    s__City(s__Copenhagen),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s__Copenhagen_type) ).

fof(f103,axiom,
    capital_city(s__Copenhagen,s__Denmark),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s__Copenhagen_s__Denmark) ).

fof(f150,axiom,
    real('55.67631'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',copenhagen_lat_type) ).

fof(f151,axiom,
    real('12.569355'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',copenhagen_long_type) ).

fof(f152,axiom,
    s__SymbolicString(copenhagen),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',copenhagen_type) ).

fof(f153,axiom,
    s__SymbolicString(dk),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dk_type) ).

fof(f154,axiom,
    latlong(s__Copenhagen,'55.67631','12.569355',copenhagen,dk),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',latlong_s__Copenhagen) ).

fof(f170,axiom,
    real('55.75695'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',moscow_lat_type) ).

fof(f171,axiom,
    real('37.614975'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',moscow_long_type) ).

fof(f172,axiom,
    s__SymbolicString(moscow),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',moscow_type) ).

fof(f173,axiom,
    s__SymbolicString(ru),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ru_type) ).

fof(f174,axiom,
    latlong(s__Moscow,'55.75695','37.614975',moscow,ru),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',latlong_s__Moscow) ).

fof(f206,axiom,
    look_different(s__Copenhagen,s__Moscow),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s__Copenhagen_not_s__Moscow) ).

fof(f215,axiom,
    int('-35'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','-35_type') ).

fof(f237,axiom,
    to_int('55.67631') = '55',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','55.67631_55') ).

fof(f238,axiom,
    to_int('55.75695') = '55',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','55.75695_55') ).

fof(f271,plain,
    ! [X0] :
      ( s__Object(X0)
      | ~ s__Region(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f272,plain,
    ! [X0] :
      ( s__Region(X0)
      | ~ s__GeographicArea(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f273,plain,
    ! [X0] :
      ( s__GeographicArea(X0)
      | ~ s__GeopoliticalArea(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f274,plain,
    ! [X0] :
      ( s__GeopoliticalArea(X0)
      | ~ s__Nation(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f275,plain,
    ! [X0] :
      ( s__GeopoliticalArea(X0)
      | ~ s__City(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f277,plain,
    ! [X0] :
      ( s__WaterArea(X0)
      | ~ s__BodyOfWater(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f278,plain,
    ! [X0] :
      ( s__BodyOfWater(X0)
      | ~ s__Sea(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f280,plain,
    ! [X0] :
      ( ? [X1] :
          ( s__Sea(X1)
          & s__orientation(X0,X1,s__Near) )
      | ~ is_instance(X0,s__CoastalCitiesClass)
      | ~ s__City(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f281,plain,
    ! [X0] :
      ( ? [X1] :
          ( s__Sea(X1)
          & s__orientation(X0,X1,s__Near) )
      | ~ is_instance(X0,s__CoastalCitiesClass)
      | ~ s__City(X0) ),
    inference(flattening,[],[f280]) ).

fof(f282,plain,
    ! [X0,X1] :
      ( s__capability(s__Flooding__t,s__located__m,X1)
      | ~ s__orientation(X1,X0,s__Near)
      | ~ s__WaterArea(X0)
      | ~ s__City(X1) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f283,plain,
    ! [X0,X1] :
      ( s__capability(s__Flooding__t,s__located__m,X1)
      | ~ s__orientation(X1,X0,s__Near)
      | ~ s__WaterArea(X0)
      | ~ s__City(X1) ),
    inference(flattening,[],[f282]) ).

fof(f284,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ s__Object(X0)
      | ~ s__Object(X1)
      | ~ real(X2)
      | ~ real(X3)
      | ~ s__SymbolicString(X4)
      | ~ s__SymbolicString(X5)
      | ~ int(X6)
      | ~ real(X7)
      | ~ real(X8)
      | ~ s__SymbolicString(X9)
      | ~ s__SymbolicString(X10)
      | ~ is_instance(X1,s__OECDMemberEconomiesClass)
      | ~ capital_city(X0,X1)
      | ~ look_different(X0,s__Moscow)
      | ~ latlong(X0,X2,X3,X4,X5)
      | ~ latlong(s__Moscow,X7,X8,X9,X10)
      | to_int(X2) != to_int(X7)
      | ~ s__capability(s__Flooding__t,s__located__m,X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f330,plain,
    ! [X0] :
      ( ( s__Sea(sK14(X0))
        & s__orientation(X0,sK14(X0),s__Near) )
      | ~ is_instance(X0,s__CoastalCitiesClass)
      | ~ s__City(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X1,sK14(X0))],[f281]) ).

fof(f347,plain,
    ! [X0] :
      ( ~ s__Region(X0)
      | s__Object(X0) ),
    inference(cnf_transformation,[],[f271]) ).

fof(f348,plain,
    ! [X0] :
      ( ~ s__GeographicArea(X0)
      | s__Region(X0) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f349,plain,
    ! [X0] :
      ( s__GeographicArea(X0)
      | ~ s__GeopoliticalArea(X0) ),
    inference(cnf_transformation,[],[f273]) ).

fof(f350,plain,
    ! [X0] :
      ( s__GeopoliticalArea(X0)
      | ~ s__Nation(X0) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f351,plain,
    ! [X0] :
      ( s__GeopoliticalArea(X0)
      | ~ s__City(X0) ),
    inference(cnf_transformation,[],[f275]) ).

fof(f353,plain,
    ! [X0] :
      ( s__WaterArea(X0)
      | ~ s__BodyOfWater(X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f354,plain,
    ! [X0] :
      ( s__BodyOfWater(X0)
      | ~ s__Sea(X0) ),
    inference(cnf_transformation,[],[f278]) ).

fof(f359,plain,
    ! [X0] :
      ( s__orientation(X0,sK14(X0),s__Near)
      | ~ is_instance(X0,s__CoastalCitiesClass)
      | ~ s__City(X0) ),
    inference(cnf_transformation,[],[f330]) ).

fof(f360,plain,
    ! [X0] :
      ( s__Sea(sK14(X0))
      | ~ is_instance(X0,s__CoastalCitiesClass)
      | ~ s__City(X0) ),
    inference(cnf_transformation,[],[f330]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( s__capability(s__Flooding__t,s__located__m,X1)
      | ~ s__orientation(X1,X0,s__Near)
      | ~ s__WaterArea(X0)
      | ~ s__City(X1) ),
    inference(cnf_transformation,[],[f283]) ).

fof(f362,plain,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ s__Object(X0)
      | ~ s__Object(X1)
      | ~ real(X2)
      | ~ real(X3)
      | ~ s__SymbolicString(X4)
      | ~ s__SymbolicString(X5)
      | ~ int(X6)
      | ~ real(X7)
      | ~ real(X8)
      | ~ s__SymbolicString(X9)
      | ~ s__SymbolicString(X10)
      | ~ is_instance(X1,s__OECDMemberEconomiesClass)
      | ~ capital_city(X0,X1)
      | ~ look_different(X0,s__Moscow)
      | ~ latlong(X0,X2,X3,X4,X5)
      | ~ latlong(s__Moscow,X7,X8,X9,X10)
      | to_int(X2) != to_int(X7)
      | ~ s__capability(s__Flooding__t,s__located__m,X0) ),
    inference(cnf_transformation,[],[f284]) ).

fof(f367,plain,
    is_instance(s__Copenhagen,s__CoastalCitiesClass),
    inference(cnf_transformation,[],[f35]) ).

fof(f372,plain,
    s__Nation(s__Denmark),
    inference(cnf_transformation,[],[f40]) ).

fof(f373,plain,
    is_instance(s__Denmark,s__OECDMemberEconomiesClass),
    inference(cnf_transformation,[],[f41]) ).

fof(f434,plain,
    s__City(s__Copenhagen),
    inference(cnf_transformation,[],[f102]) ).

fof(f435,plain,
    capital_city(s__Copenhagen,s__Denmark),
    inference(cnf_transformation,[],[f103]) ).

fof(f482,plain,
    real('55.67631'),
    inference(cnf_transformation,[],[f150]) ).

fof(f483,plain,
    real('12.569355'),
    inference(cnf_transformation,[],[f151]) ).

fof(f484,plain,
    s__SymbolicString(copenhagen),
    inference(cnf_transformation,[],[f152]) ).

fof(f485,plain,
    s__SymbolicString(dk),
    inference(cnf_transformation,[],[f153]) ).

fof(f486,plain,
    latlong(s__Copenhagen,'55.67631','12.569355',copenhagen,dk),
    inference(cnf_transformation,[],[f154]) ).

fof(f502,plain,
    real('55.75695'),
    inference(cnf_transformation,[],[f170]) ).

fof(f503,plain,
    real('37.614975'),
    inference(cnf_transformation,[],[f171]) ).

fof(f504,plain,
    s__SymbolicString(moscow),
    inference(cnf_transformation,[],[f172]) ).

fof(f505,plain,
    s__SymbolicString(ru),
    inference(cnf_transformation,[],[f173]) ).

fof(f506,plain,
    latlong(s__Moscow,'55.75695','37.614975',moscow,ru),
    inference(cnf_transformation,[],[f174]) ).

fof(f538,plain,
    look_different(s__Copenhagen,s__Moscow),
    inference(cnf_transformation,[],[f206]) ).

fof(f547,plain,
    int('-35'),
    inference(cnf_transformation,[],[f215]) ).

fof(f569,plain,
    '55' = to_int('55.67631'),
    inference(cnf_transformation,[],[f237]) ).

fof(f570,plain,
    '55' = to_int('55.75695'),
    inference(cnf_transformation,[],[f238]) ).

fof(f604,definition,
    ( spl17_1
  <=> ! [X6] : ~ int(X6) ),
    introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).

fof(f605,plain,
    ( ! [X6] : ~ int(X6)
    | ~ spl17_1 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f607,definition,
    ( spl17_2
  <=> ! [X2,X3,X10,X0,X1,X8,X9,X7,X4,X5] :
        ( ~ s__Object(X0)
        | ~ s__capability(s__Flooding__t,s__located__m,X0)
        | to_int(X2) != to_int(X7)
        | ~ latlong(X0,X2,X3,X4,X5)
        | ~ look_different(X0,s__Moscow)
        | ~ capital_city(X0,X1)
        | ~ real(X7)
        | ~ latlong(s__Moscow,X7,X8,X9,X10)
        | ~ s__SymbolicString(X10)
        | ~ s__SymbolicString(X9)
        | ~ real(X8)
        | ~ s__SymbolicString(X5)
        | ~ s__SymbolicString(X4)
        | ~ real(X3)
        | ~ real(X2)
        | ~ s__Object(X1)
        | ~ is_instance(X1,s__OECDMemberEconomiesClass) ) ),
    introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).

fof(f608,plain,
    ( ! [X2,X3,X10,X0,X1,X8,X9,X7,X4,X5] :
        ( ~ look_different(X0,s__Moscow)
        | ~ s__capability(s__Flooding__t,s__located__m,X0)
        | to_int(X2) != to_int(X7)
        | ~ latlong(X0,X2,X3,X4,X5)
        | ~ s__Object(X0)
        | ~ capital_city(X0,X1)
        | ~ real(X7)
        | ~ latlong(s__Moscow,X7,X8,X9,X10)
        | ~ s__SymbolicString(X10)
        | ~ s__SymbolicString(X9)
        | ~ real(X8)
        | ~ s__SymbolicString(X5)
        | ~ s__SymbolicString(X4)
        | ~ real(X3)
        | ~ real(X2)
        | ~ s__Object(X1)
        | ~ is_instance(X1,s__OECDMemberEconomiesClass) )
    | ~ spl17_2 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f609,plain,
    ( spl17_1
    | spl17_2 ),
    inference(avatar_split_clause,[],[f362,f607,f604]) ).

fof(f706,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
        ( ~ s__capability(s__Flooding__t,s__located__m,s__Copenhagen)
        | to_int(X0) != to_int(X1)
        | ~ latlong(s__Copenhagen,X0,X2,X3,X4)
        | ~ s__Object(s__Copenhagen)
        | ~ capital_city(s__Copenhagen,X5)
        | ~ real(X1)
        | ~ latlong(s__Moscow,X1,X6,X7,X8)
        | ~ s__SymbolicString(X8)
        | ~ s__SymbolicString(X7)
        | ~ real(X6)
        | ~ s__SymbolicString(X4)
        | ~ s__SymbolicString(X3)
        | ~ real(X2)
        | ~ real(X0)
        | ~ s__Object(X5)
        | ~ is_instance(X5,s__OECDMemberEconomiesClass) )
    | ~ spl17_2 ),
    inference(resolution,[],[f538,f608]) ).

fof(f708,definition,
    ( spl17_27
  <=> ! [X5] :
        ( ~ capital_city(s__Copenhagen,X5)
        | ~ is_instance(X5,s__OECDMemberEconomiesClass)
        | ~ s__Object(X5) ) ),
    introduced(definition,[new_symbols(definition,[spl17_27])],[avatar_definition]) ).

fof(f709,plain,
    ( ! [X5] :
        ( ~ capital_city(s__Copenhagen,X5)
        | ~ is_instance(X5,s__OECDMemberEconomiesClass)
        | ~ s__Object(X5) )
    | ~ spl17_27 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f711,definition,
    ( spl17_28
  <=> s__Object(s__Copenhagen) ),
    introduced(definition,[new_symbols(definition,[spl17_28])],[avatar_definition]) ).

fof(f715,definition,
    ( spl17_29
  <=> ! [X6,X4,X0,X7,X3,X8,X2,X1] :
        ( to_int(X0) != to_int(X1)
        | ~ real(X0)
        | ~ real(X2)
        | ~ s__SymbolicString(X3)
        | ~ s__SymbolicString(X4)
        | ~ real(X6)
        | ~ s__SymbolicString(X7)
        | ~ s__SymbolicString(X8)
        | ~ latlong(s__Moscow,X1,X6,X7,X8)
        | ~ real(X1)
        | ~ latlong(s__Copenhagen,X0,X2,X3,X4) ) ),
    introduced(definition,[new_symbols(definition,[spl17_29])],[avatar_definition]) ).

fof(f716,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4] :
        ( ~ latlong(s__Copenhagen,X0,X2,X3,X4)
        | ~ real(X0)
        | ~ real(X2)
        | ~ s__SymbolicString(X3)
        | ~ s__SymbolicString(X4)
        | ~ real(X6)
        | ~ s__SymbolicString(X7)
        | ~ s__SymbolicString(X8)
        | ~ latlong(s__Moscow,X1,X6,X7,X8)
        | ~ real(X1)
        | to_int(X0) != to_int(X1) )
    | ~ spl17_29 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f718,definition,
    ( spl17_30
  <=> s__capability(s__Flooding__t,s__located__m,s__Copenhagen) ),
    introduced(definition,[new_symbols(definition,[spl17_30])],[avatar_definition]) ).

fof(f720,plain,
    ( ~ s__capability(s__Flooding__t,s__located__m,s__Copenhagen)
    | spl17_30 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f721,plain,
    ( spl17_27
    | ~ spl17_28
    | spl17_29
    | ~ spl17_30
    | ~ spl17_2 ),
    inference(avatar_split_clause,[],[f706,f607,f718,f715,f711,f708]) ).

fof(f1029,plain,
    ! [X0] :
      ( s__Region(X0)
      | ~ s__GeopoliticalArea(X0) ),
    inference(resolution,[],[f349,f348]) ).

fof(f1043,plain,
    ! [X0] :
      ( ~ s__GeopoliticalArea(X0)
      | s__Object(X0) ),
    inference(resolution,[],[f1029,f347]) ).

fof(f1054,plain,
    ! [X0] :
      ( s__Object(X0)
      | ~ s__Nation(X0) ),
    inference(resolution,[],[f1043,f350]) ).

fof(f1055,plain,
    ! [X0] :
      ( ~ s__City(X0)
      | s__Object(X0) ),
    inference(resolution,[],[f1043,f351]) ).

fof(f1095,plain,
    s__Object(s__Copenhagen),
    inference(resolution,[],[f1055,f434]) ).

fof(f1149,plain,
    spl17_28,
    inference(avatar_split_clause,[],[f1095,f711]) ).

fof(f1213,plain,
    ( ! [X0] :
        ( ~ s__orientation(s__Copenhagen,X0,s__Near)
        | ~ s__WaterArea(X0)
        | ~ s__City(s__Copenhagen) )
    | spl17_30 ),
    inference(resolution,[],[f720,f361]) ).

fof(f1214,plain,
    ( ! [X0] :
        ( ~ s__orientation(s__Copenhagen,X0,s__Near)
        | ~ s__WaterArea(X0) )
    | spl17_30 ),
    inference(forward_subsumption_resolution,[],[f1213,f434]) ).

fof(f1297,plain,
    ( ~ s__WaterArea(sK14(s__Copenhagen))
    | ~ is_instance(s__Copenhagen,s__CoastalCitiesClass)
    | ~ s__City(s__Copenhagen)
    | spl17_30 ),
    inference(resolution,[],[f1214,f359]) ).

fof(f1298,plain,
    ( ~ s__WaterArea(sK14(s__Copenhagen))
    | ~ s__City(s__Copenhagen)
    | spl17_30 ),
    inference(forward_subsumption_resolution,[],[f1297,f367]) ).

fof(f1299,plain,
    ( ~ s__WaterArea(sK14(s__Copenhagen))
    | spl17_30 ),
    inference(forward_subsumption_resolution,[],[f1298,f434]) ).

fof(f1300,plain,
    ( ~ s__BodyOfWater(sK14(s__Copenhagen))
    | spl17_30 ),
    inference(resolution,[],[f1299,f353]) ).

fof(f1389,plain,
    ( ~ s__Sea(sK14(s__Copenhagen))
    | spl17_30 ),
    inference(resolution,[],[f1300,f354]) ).

fof(f1390,plain,
    ( ~ is_instance(s__Copenhagen,s__CoastalCitiesClass)
    | ~ s__City(s__Copenhagen)
    | spl17_30 ),
    inference(resolution,[],[f1389,f360]) ).

fof(f1391,plain,
    ( ~ s__City(s__Copenhagen)
    | spl17_30 ),
    inference(forward_subsumption_resolution,[],[f1390,f367]) ).

fof(f1392,plain,
    ( $false
    | spl17_30 ),
    inference(forward_subsumption_resolution,[],[f1391,f434]) ).

fof(f1393,plain,
    spl17_30,
    inference(avatar_contradiction_clause,[],[f1392]) ).

fof(f1394,plain,
    ( ~ is_instance(s__Denmark,s__OECDMemberEconomiesClass)
    | ~ s__Object(s__Denmark)
    | ~ spl17_27 ),
    inference(resolution,[],[f709,f435]) ).

fof(f1395,plain,
    ( ~ s__Object(s__Denmark)
    | ~ spl17_27 ),
    inference(forward_subsumption_resolution,[],[f1394,f373]) ).

fof(f1396,plain,
    ( ~ s__Nation(s__Denmark)
    | ~ spl17_27 ),
    inference(resolution,[],[f1395,f1054]) ).

fof(f1397,plain,
    ( $false
    | ~ spl17_27 ),
    inference(forward_subsumption_resolution,[],[f1396,f372]) ).

fof(f1398,plain,
    ~ spl17_27,
    inference(avatar_contradiction_clause,[],[f1397]) ).

fof(f1399,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ real('55.67631')
        | ~ real('12.569355')
        | ~ s__SymbolicString(copenhagen)
        | ~ s__SymbolicString(dk)
        | ~ real(X0)
        | ~ s__SymbolicString(X1)
        | ~ s__SymbolicString(X2)
        | ~ latlong(s__Moscow,X3,X0,X1,X2)
        | ~ real(X3)
        | to_int('55.67631') != to_int(X3) )
    | ~ spl17_29 ),
    inference(resolution,[],[f716,f486]) ).

fof(f1400,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ real('12.569355')
        | ~ s__SymbolicString(copenhagen)
        | ~ s__SymbolicString(dk)
        | ~ real(X0)
        | ~ s__SymbolicString(X1)
        | ~ s__SymbolicString(X2)
        | ~ latlong(s__Moscow,X3,X0,X1,X2)
        | ~ real(X3)
        | to_int('55.67631') != to_int(X3) )
    | ~ spl17_29 ),
    inference(forward_subsumption_resolution,[],[f1399,f482]) ).

fof(f1401,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ s__SymbolicString(copenhagen)
        | ~ s__SymbolicString(dk)
        | ~ real(X0)
        | ~ s__SymbolicString(X1)
        | ~ s__SymbolicString(X2)
        | ~ latlong(s__Moscow,X3,X0,X1,X2)
        | ~ real(X3)
        | to_int('55.67631') != to_int(X3) )
    | ~ spl17_29 ),
    inference(forward_subsumption_resolution,[],[f1400,f483]) ).

fof(f1402,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ s__SymbolicString(dk)
        | ~ real(X0)
        | ~ s__SymbolicString(X1)
        | ~ s__SymbolicString(X2)
        | ~ latlong(s__Moscow,X3,X0,X1,X2)
        | ~ real(X3)
        | to_int('55.67631') != to_int(X3) )
    | ~ spl17_29 ),
    inference(forward_subsumption_resolution,[],[f1401,f484]) ).

fof(f1403,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ real(X0)
        | ~ s__SymbolicString(X1)
        | ~ s__SymbolicString(X2)
        | ~ latlong(s__Moscow,X3,X0,X1,X2)
        | ~ real(X3)
        | to_int('55.67631') != to_int(X3) )
    | ~ spl17_29 ),
    inference(forward_subsumption_resolution,[],[f1402,f485]) ).

fof(f1404,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ latlong(s__Moscow,X3,X0,X1,X2)
        | ~ real(X0)
        | ~ s__SymbolicString(X1)
        | ~ s__SymbolicString(X2)
        | '55' != to_int(X3)
        | ~ real(X3) )
    | ~ spl17_29 ),
    inference(forward_demodulation,[],[f1403,f569]) ).

fof(f1405,plain,
    ( ~ real('37.614975')
    | ~ s__SymbolicString(moscow)
    | ~ s__SymbolicString(ru)
    | '55' != to_int('55.75695')
    | ~ real('55.75695')
    | ~ spl17_29 ),
    inference(resolution,[],[f1404,f506]) ).

fof(f1406,plain,
    ( ~ s__SymbolicString(moscow)
    | ~ s__SymbolicString(ru)
    | '55' != to_int('55.75695')
    | ~ real('55.75695')
    | ~ spl17_29 ),
    inference(forward_subsumption_resolution,[],[f1405,f503]) ).

fof(f1407,plain,
    ( ~ s__SymbolicString(ru)
    | '55' != to_int('55.75695')
    | ~ real('55.75695')
    | ~ spl17_29 ),
    inference(forward_subsumption_resolution,[],[f1406,f504]) ).

fof(f1408,plain,
    ( '55' != to_int('55.75695')
    | ~ real('55.75695')
    | ~ spl17_29 ),
    inference(forward_subsumption_resolution,[],[f1407,f505]) ).

fof(f1409,plain,
    ( ~ real('55.75695')
    | ~ spl17_29 ),
    inference(forward_subsumption_resolution,[],[f1408,f570]) ).

fof(f1410,plain,
    ( $false
    | ~ spl17_29 ),
    inference(forward_subsumption_resolution,[],[f1409,f502]) ).

fof(f1411,plain,
    ~ spl17_29,
    inference(avatar_contradiction_clause,[],[f1410]) ).

fof(f1413,plain,
    ( $false
    | ~ spl17_1 ),
    inference(resolution,[],[f605,f547]) ).

fof(f1434,plain,
    ~ spl17_1,
    inference(avatar_contradiction_clause,[],[f1413]) ).

cnf(s1,plain,
    ( spl17_1
    | spl17_2 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s8,plain,
    ( ~ spl17_2
    | spl17_27
    | ~ spl17_28
    | spl17_29
    | ~ spl17_30 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s40,plain,
    spl17_28,
    inference(sat_conversion,[],[f1149]) ).

cnf(s61,plain,
    spl17_30,
    inference(sat_conversion,[],[f1393]) ).

cnf(s62,plain,
    ~ spl17_27,
    inference(sat_conversion,[],[f1398]) ).

cnf(s63,plain,
    ~ spl17_29,
    inference(sat_conversion,[],[f1411]) ).

cnf(s74,plain,
    ~ spl17_1,
    inference(sat_conversion,[],[f1434]) ).

cnf(s83,plain,
    ~ spl17_2,
    inference(rat,[],[s8,s61,s63,s40,s62]) ).

cnf(s84,plain,
    $false,
    inference(rat,[],[s1,s83,s74]) ).

fof(f1435,plain,
    $false,
    inference(avatar_sat_refutation,[],[s84]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR117+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.12  % Computer : n012.cluster.edu
% 0.04/0.12  % Model    : x86_64 x86_64
% 0.04/0.12  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.12  % Memory   : 8046.5625MB
% 0.04/0.12  % OS       : Linux 6.8.0-71-generic
% 0.04/0.12  % CPULimit : 300
% 0.04/0.12  % WCLimit  : 300
% 0.04/0.12  % DateTime : Mon Sep 28 23:33:04 UTC 2026
% 0.04/0.12  % CPUTime  : 
% 0.04/0.12  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.14  Running first-order theorem proving
% 0.04/0.14  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.10/0.64  % (3899381)Detected formulas, will run a generic FOF schedule.
% 2.10/0.64  % (3899389)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4132696071:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.10/0.64  % (3899388)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1682388952:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.10/0.64  % (3899390)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1613338923:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.10/0.64  % (3899391)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=591380437:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.10/0.64  % (3899386)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3722297495:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.10/0.64  % (3899387)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1771322079:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.10/0.64  % (3899392)dis-21_1_sil=8000:lcm=predicate:random_seed=2426156440:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.10/0.64  % (3899389)Refutation not found, incomplete strategy
% 2.10/0.64  % (3899389)------------------------------
% 2.10/0.64  % (3899389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.10/0.64  % (3899389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.64  % (3899389)CaDiCaL version: 2.1.3
% 2.10/0.64  % (3899389)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.64  % (3899389)Time elapsed: 0.001 s
% 2.10/0.64  % (3899389)Peak memory usage: 88 MB
% 2.10/0.64  % (3899389)Instructions burned: 1 (million)
% 2.10/0.64  % (3899390)Refutation not found, incomplete strategy
% 2.10/0.64  % (3899390)------------------------------
% 2.10/0.64  % (3899390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.10/0.64  % (3899390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.64  % (3899390)CaDiCaL version: 2.1.3
% 2.10/0.64  % (3899390)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.64  % (3899390)Time elapsed: 0.001 s
% 2.10/0.64  % (3899390)Peak memory usage: 88 MB
% 2.10/0.64  % (3899390)Instructions burned: 3 (million)
% 2.10/0.64  % (3899392)Refutation not found, incomplete strategy
% 2.10/0.64  % (3899392)------------------------------
% 2.10/0.64  % (3899392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.10/0.64  % (3899392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.64  % (3899392)CaDiCaL version: 2.1.3
% 2.10/0.64  % (3899392)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.64  % (3899392)Time elapsed: 0.009 s
% 2.10/0.64  % (3899392)Peak memory usage: 89 MB
% 2.10/0.64  % (3899392)Instructions burned: 29 (million)
% 2.10/0.64  % (3899391)First to succeed.
% 2.10/0.64  % (3899391)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3899381"
% 2.10/0.64  % (3899389)------------------------------
% 2.10/0.64  % (3899389)------------------------------
% 2.10/0.64  % (3899390)------------------------------
% 2.10/0.64  % (3899390)------------------------------
% 2.10/0.64  % (3899392)------------------------------
% 2.10/0.64  % (3899392)------------------------------
% 2.10/0.64  % (3899391)Refutation found. Thanks to Tanya!
% 2.10/0.64  % SZS status Theorem for theBenchmark
% 2.10/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 2.40/0.75  % (3899391)------------------------------
% 2.40/0.75  % (3899391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/0.75  % (3899391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.75  % (3899391)CaDiCaL version: 2.1.3
% 2.40/0.75  % (3899391)Termination reason: Refutation
% 2.40/0.75  % (3899391)Time elapsed: 0.012 s
% 2.40/0.75  % (3899391)Peak memory usage: 90 MB
% 2.40/0.75  % (3899391)Instructions burned: 31 (million)
% 2.40/0.75  % (3899391)------------------------------
% 2.40/0.75  % (3899391)------------------------------
% 2.40/0.75  % (3899381)Success in time 0.307 s
% 2.40/0.75  % Vampire exiting
%------------------------------------------------------------------------------