TSTP Solution File: NUM461+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM461+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 08:12:14 EDT 2024

% Result   : Theorem 1.04s 0.94s
% Output   : Refutation 1.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   66 (  12 unt;   0 def)
%            Number of atoms       :  223 (  73 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  299 ( 142   ~; 115   |;  33   &)
%                                         (   4 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   65 (  57   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1389,plain,
    $false,
    inference(avatar_sat_refutation,[],[f153,f221,f519,f1291,f1325]) ).

fof(f1325,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f1302]) ).

fof(f1302,plain,
    ( $false
    | ~ spl2_1 ),
    inference(unit_resulting_resolution,[],[f82,f77,f76,f78,f131,f100]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
      | X1 = X2
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        & sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        & sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
          | sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.BgKduloLhA/Vampire---4.8_25038',mAddCanc) ).

fof(f131,plain,
    ( sdtpldt0(xm,xl) = sdtpldt0(xm,xn)
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl2_1
  <=> sdtpldt0(xm,xl) = sdtpldt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f78,plain,
    xl != xn,
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( sdtlseqdt0(xl,xn)
    & xn = sdtpldt0(xl,sK0)
    & aNaturalNumber0(sK0)
    & xl != xn ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f68]) ).

fof(f68,plain,
    ( ? [X0] :
        ( xn = sdtpldt0(xl,X0)
        & aNaturalNumber0(X0) )
   => ( xn = sdtpldt0(xl,sK0)
      & aNaturalNumber0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f25,axiom,
    ( sdtlseqdt0(xl,xn)
    & ? [X0] :
        ( xn = sdtpldt0(xl,X0)
        & aNaturalNumber0(X0) )
    & xl != xn ),
    file('/export/starexec/sandbox2/tmp/tmp.BgKduloLhA/Vampire---4.8_25038',m__840_03) ).

fof(f76,plain,
    aNaturalNumber0(xl),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xl) ),
    file('/export/starexec/sandbox2/tmp/tmp.BgKduloLhA/Vampire---4.8_25038',m__840) ).

fof(f77,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f24]) ).

fof(f82,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,axiom,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox2/tmp/tmp.BgKduloLhA/Vampire---4.8_25038',m__873) ).

fof(f1291,plain,
    ~ spl2_6,
    inference(avatar_contradiction_clause,[],[f1290]) ).

fof(f1290,plain,
    ( $false
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f1289,f82]) ).

fof(f1289,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f1284,f79]) ).

fof(f79,plain,
    aNaturalNumber0(sK0),
    inference(cnf_transformation,[],[f69]) ).

fof(f1284,plain,
    ( ~ aNaturalNumber0(sK0)
    | ~ aNaturalNumber0(xm)
    | ~ spl2_6 ),
    inference(trivial_inequality_removal,[],[f1283]) ).

fof(f1283,plain,
    ( sdtpldt0(xn,xm) != sdtpldt0(xn,xm)
    | ~ aNaturalNumber0(sK0)
    | ~ aNaturalNumber0(xm)
    | ~ spl2_6 ),
    inference(superposition,[],[f534,f201]) ).

fof(f201,plain,
    ! [X0] :
      ( sdtpldt0(xn,X0) = sdtpldt0(xl,sdtpldt0(sK0,X0))
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f200,f76]) ).

fof(f200,plain,
    ! [X0] :
      ( sdtpldt0(xn,X0) = sdtpldt0(xl,sdtpldt0(sK0,X0))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(xl) ),
    inference(subsumption_resolution,[],[f170,f79]) ).

fof(f170,plain,
    ! [X0] :
      ( sdtpldt0(xn,X0) = sdtpldt0(xl,sdtpldt0(sK0,X0))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sK0)
      | ~ aNaturalNumber0(xl) ),
    inference(superposition,[],[f106,f80]) ).

fof(f80,plain,
    xn = sdtpldt0(xl,sK0),
    inference(cnf_transformation,[],[f69]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.BgKduloLhA/Vampire---4.8_25038',mAddAsso) ).

fof(f534,plain,
    ( ! [X0] :
        ( sdtpldt0(xn,xm) != sdtpldt0(xl,sdtpldt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f533,f82]) ).

fof(f533,plain,
    ( ! [X0] :
        ( sdtpldt0(xn,xm) != sdtpldt0(xl,sdtpldt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm) )
    | ~ spl2_6 ),
    inference(duplicate_literal_removal,[],[f527]) ).

fof(f527,plain,
    ( ! [X0] :
        ( sdtpldt0(xn,xm) != sdtpldt0(xl,sdtpldt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_6 ),
    inference(superposition,[],[f421,f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.BgKduloLhA/Vampire---4.8_25038',mAddComm) ).

fof(f421,plain,
    ( ! [X0] :
        ( sdtpldt0(xn,xm) != sdtpldt0(xl,sdtpldt0(xm,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f420,f76]) ).

fof(f420,plain,
    ( ! [X0] :
        ( sdtpldt0(xn,xm) != sdtpldt0(xl,sdtpldt0(xm,X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xl) )
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f419,f82]) ).

fof(f419,plain,
    ( ! [X0] :
        ( sdtpldt0(xn,xm) != sdtpldt0(xl,sdtpldt0(xm,X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(xl) )
    | ~ spl2_6 ),
    inference(duplicate_literal_removal,[],[f411]) ).

fof(f411,plain,
    ( ! [X0] :
        ( sdtpldt0(xn,xm) != sdtpldt0(xl,sdtpldt0(xm,X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(xl) )
    | ~ spl2_6 ),
    inference(superposition,[],[f151,f106]) ).

fof(f151,plain,
    ( ! [X0] :
        ( sdtpldt0(xn,xm) != sdtpldt0(sdtpldt0(xl,xm),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl2_6
  <=> ! [X0] :
        ( sdtpldt0(xn,xm) != sdtpldt0(sdtpldt0(xl,xm),X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f519,plain,
    ~ spl2_5,
    inference(avatar_contradiction_clause,[],[f518]) ).

fof(f518,plain,
    ( $false
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f515,f79]) ).

fof(f515,plain,
    ( ~ aNaturalNumber0(sK0)
    | ~ spl2_5 ),
    inference(trivial_inequality_removal,[],[f506]) ).

fof(f506,plain,
    ( sdtpldt0(xm,xn) != sdtpldt0(xm,xn)
    | ~ aNaturalNumber0(sK0)
    | ~ spl2_5 ),
    inference(superposition,[],[f308,f80]) ).

fof(f308,plain,
    ( ! [X0] :
        ( sdtpldt0(xm,xn) != sdtpldt0(xm,sdtpldt0(xl,X0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f307,f82]) ).

fof(f307,plain,
    ( ! [X0] :
        ( sdtpldt0(xm,xn) != sdtpldt0(xm,sdtpldt0(xl,X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm) )
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f304,f76]) ).

fof(f304,plain,
    ( ! [X0] :
        ( sdtpldt0(xm,xn) != sdtpldt0(xm,sdtpldt0(xl,X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xl)
        | ~ aNaturalNumber0(xm) )
    | ~ spl2_5 ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f296,plain,
    ( ! [X0] :
        ( sdtpldt0(xm,xn) != sdtpldt0(xm,sdtpldt0(xl,X0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xl)
        | ~ aNaturalNumber0(xm) )
    | ~ spl2_5 ),
    inference(superposition,[],[f147,f106]) ).

fof(f147,plain,
    ( ! [X1] :
        ( sdtpldt0(xm,xn) != sdtpldt0(sdtpldt0(xm,xl),X1)
        | ~ aNaturalNumber0(X1) )
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl2_5
  <=> ! [X1] :
        ( sdtpldt0(xm,xn) != sdtpldt0(sdtpldt0(xm,xl),X1)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f221,plain,
    ~ spl2_3,
    inference(avatar_contradiction_clause,[],[f207]) ).

fof(f207,plain,
    ( $false
    | ~ spl2_3 ),
    inference(unit_resulting_resolution,[],[f82,f77,f76,f78,f139,f101]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
      | X1 = X2
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f139,plain,
    ( sdtpldt0(xl,xm) = sdtpldt0(xn,xm)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f137,plain,
    ( spl2_3
  <=> sdtpldt0(xl,xm) = sdtpldt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f153,plain,
    ( spl2_1
    | spl2_5
    | spl2_3
    | spl2_6 ),
    inference(avatar_split_clause,[],[f83,f150,f137,f146,f129]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( sdtpldt0(xn,xm) != sdtpldt0(sdtpldt0(xl,xm),X0)
      | ~ aNaturalNumber0(X0)
      | sdtpldt0(xl,xm) = sdtpldt0(xn,xm)
      | sdtpldt0(xm,xn) != sdtpldt0(sdtpldt0(xm,xl),X1)
      | ~ aNaturalNumber0(X1)
      | sdtpldt0(xm,xl) = sdtpldt0(xm,xn) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( ( ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
      & ! [X0] :
          ( sdtpldt0(xn,xm) != sdtpldt0(sdtpldt0(xl,xm),X0)
          | ~ aNaturalNumber0(X0) ) )
    | sdtpldt0(xl,xm) = sdtpldt0(xn,xm)
    | ( ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
      & ! [X1] :
          ( sdtpldt0(xm,xn) != sdtpldt0(sdtpldt0(xm,xl),X1)
          | ~ aNaturalNumber0(X1) ) )
    | sdtpldt0(xm,xl) = sdtpldt0(xm,xn) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ~ ( ( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
        | ? [X0] :
            ( sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xl,xm),X0)
            & aNaturalNumber0(X0) ) )
      & sdtpldt0(xl,xm) != sdtpldt0(xn,xm)
      & ( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
        | ? [X1] :
            ( sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xm,xl),X1)
            & aNaturalNumber0(X1) ) )
      & sdtpldt0(xm,xl) != sdtpldt0(xm,xn) ),
    inference(rectify,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ( ( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
        | ? [X0] :
            ( sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xl,xm),X0)
            & aNaturalNumber0(X0) ) )
      & sdtpldt0(xl,xm) != sdtpldt0(xn,xm)
      & ( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
        | ? [X0] :
            ( sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xm,xl),X0)
            & aNaturalNumber0(X0) ) )
      & sdtpldt0(xm,xl) != sdtpldt0(xm,xn) ),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ( ( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
      | ? [X0] :
          ( sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xl,xm),X0)
          & aNaturalNumber0(X0) ) )
    & sdtpldt0(xl,xm) != sdtpldt0(xn,xm)
    & ( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
      | ? [X0] :
          ( sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xm,xl),X0)
          & aNaturalNumber0(X0) ) )
    & sdtpldt0(xm,xl) != sdtpldt0(xm,xn) ),
    file('/export/starexec/sandbox2/tmp/tmp.BgKduloLhA/Vampire---4.8_25038',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM461+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 14:17:23 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.BgKduloLhA/Vampire---4.8_25038
% 0.67/0.86  % (25308)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.67/0.86  % (25313)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.67/0.86  % (25310)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.67/0.86  % (25309)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.67/0.86  % (25311)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.67/0.86  % (25312)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.67/0.86  % (25315)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.67/0.86  % (25314)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.70/0.88  % (25308)Instruction limit reached!
% 0.70/0.88  % (25308)------------------------------
% 0.70/0.88  % (25308)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88  % (25308)Termination reason: Unknown
% 0.70/0.88  % (25308)Termination phase: Saturation
% 0.70/0.88  
% 0.70/0.88  % (25308)Memory used [KB]: 1332
% 0.70/0.88  % (25308)Time elapsed: 0.018 s
% 0.70/0.88  % (25308)Instructions burned: 34 (million)
% 0.70/0.88  % (25308)------------------------------
% 0.70/0.88  % (25308)------------------------------
% 0.70/0.88  % (25311)Instruction limit reached!
% 0.70/0.88  % (25311)------------------------------
% 0.70/0.88  % (25311)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88  % (25311)Termination reason: Unknown
% 0.70/0.88  % (25311)Termination phase: Saturation
% 0.70/0.88  
% 0.70/0.88  % (25311)Memory used [KB]: 1427
% 0.70/0.88  % (25311)Time elapsed: 0.020 s
% 0.70/0.88  % (25311)Instructions burned: 34 (million)
% 0.70/0.88  % (25311)------------------------------
% 0.70/0.88  % (25311)------------------------------
% 0.70/0.88  % (25316)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2994ds/55Mi)
% 0.70/0.88  % (25312)Instruction limit reached!
% 0.70/0.88  % (25312)------------------------------
% 0.70/0.88  % (25312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88  % (25312)Termination reason: Unknown
% 0.70/0.88  % (25312)Termination phase: Saturation
% 0.70/0.88  
% 0.70/0.88  % (25312)Memory used [KB]: 1525
% 0.70/0.88  % (25312)Time elapsed: 0.022 s
% 0.70/0.88  % (25312)Instructions burned: 35 (million)
% 0.70/0.88  % (25312)------------------------------
% 0.70/0.88  % (25312)------------------------------
% 0.70/0.88  % (25317)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.70/0.89  % (25313)Instruction limit reached!
% 0.70/0.89  % (25313)------------------------------
% 0.70/0.89  % (25313)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (25313)Termination reason: Unknown
% 0.70/0.89  % (25313)Termination phase: Saturation
% 0.70/0.89  
% 0.70/0.89  % (25313)Memory used [KB]: 1420
% 0.70/0.89  % (25313)Time elapsed: 0.024 s
% 0.70/0.89  % (25313)Instructions burned: 45 (million)
% 0.70/0.89  % (25313)------------------------------
% 0.70/0.89  % (25313)------------------------------
% 0.70/0.89  % (25318)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.70/0.89  % (25319)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2994ds/52Mi)
% 0.70/0.89  % (25315)Instruction limit reached!
% 0.70/0.89  % (25315)------------------------------
% 0.70/0.89  % (25315)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (25315)Termination reason: Unknown
% 0.70/0.89  % (25315)Termination phase: Saturation
% 0.70/0.89  
% 0.70/0.89  % (25315)Memory used [KB]: 1589
% 0.70/0.89  % (25315)Time elapsed: 0.032 s
% 0.70/0.89  % (25315)Instructions burned: 56 (million)
% 0.70/0.89  % (25315)------------------------------
% 0.70/0.89  % (25315)------------------------------
% 0.70/0.89  % (25309)Instruction limit reached!
% 0.70/0.89  % (25309)------------------------------
% 0.70/0.89  % (25309)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (25309)Termination reason: Unknown
% 0.70/0.89  % (25309)Termination phase: Saturation
% 0.70/0.89  
% 0.70/0.89  % (25309)Memory used [KB]: 1827
% 0.70/0.89  % (25309)Time elapsed: 0.034 s
% 0.70/0.89  % (25309)Instructions burned: 51 (million)
% 0.70/0.89  % (25309)------------------------------
% 0.70/0.89  % (25309)------------------------------
% 0.70/0.90  % (25314)Instruction limit reached!
% 0.70/0.90  % (25314)------------------------------
% 0.70/0.90  % (25314)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.90  % (25314)Termination reason: Unknown
% 0.70/0.90  % (25314)Termination phase: Saturation
% 0.70/0.90  
% 0.70/0.90  % (25314)Memory used [KB]: 1877
% 0.70/0.90  % (25314)Time elapsed: 0.032 s
% 0.70/0.90  % (25314)Instructions burned: 83 (million)
% 0.70/0.90  % (25314)------------------------------
% 0.70/0.90  % (25314)------------------------------
% 0.70/0.90  % (25320)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.70/0.90  % (25322)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.70/0.90  % (25321)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.70/0.90  % (25321)Refutation not found, incomplete strategy% (25321)------------------------------
% 0.70/0.90  % (25321)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.90  % (25321)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.90  
% 0.70/0.90  % (25321)Memory used [KB]: 1068
% 0.70/0.90  % (25321)Time elapsed: 0.004 s
% 0.70/0.90  % (25321)Instructions burned: 5 (million)
% 0.70/0.90  % (25321)------------------------------
% 0.70/0.90  % (25321)------------------------------
% 0.70/0.91  % (25323)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.70/0.91  % (25316)Instruction limit reached!
% 0.70/0.91  % (25316)------------------------------
% 0.70/0.91  % (25316)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (25316)Termination reason: Unknown
% 0.70/0.91  % (25316)Termination phase: Saturation
% 0.70/0.91  
% 0.70/0.91  % (25316)Memory used [KB]: 2007
% 0.70/0.91  % (25316)Time elapsed: 0.027 s
% 0.70/0.91  % (25316)Instructions burned: 56 (million)
% 0.70/0.91  % (25316)------------------------------
% 0.70/0.91  % (25316)------------------------------
% 0.70/0.91  % (25317)Instruction limit reached!
% 0.70/0.91  % (25317)------------------------------
% 0.70/0.91  % (25317)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (25317)Termination reason: Unknown
% 0.70/0.91  % (25317)Termination phase: Saturation
% 0.70/0.91  
% 0.70/0.91  % (25317)Memory used [KB]: 1505
% 0.70/0.91  % (25317)Time elapsed: 0.026 s
% 0.70/0.91  % (25317)Instructions burned: 50 (million)
% 0.70/0.91  % (25317)------------------------------
% 0.70/0.91  % (25317)------------------------------
% 0.70/0.91  % (25310)Instruction limit reached!
% 0.70/0.91  % (25310)------------------------------
% 0.70/0.91  % (25310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (25310)Termination reason: Unknown
% 0.70/0.91  % (25310)Termination phase: Saturation
% 0.70/0.91  
% 0.70/0.91  % (25310)Memory used [KB]: 1786
% 0.70/0.91  % (25310)Time elapsed: 0.048 s
% 0.70/0.91  % (25310)Instructions burned: 78 (million)
% 0.70/0.91  % (25310)------------------------------
% 0.70/0.91  % (25310)------------------------------
% 0.70/0.91  % (25324)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.70/0.91  % (25325)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2994ds/93Mi)
% 0.70/0.91  % (25326)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.70/0.92  % (25319)Instruction limit reached!
% 0.70/0.92  % (25319)------------------------------
% 0.70/0.92  % (25319)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (25319)Termination reason: Unknown
% 0.70/0.92  % (25319)Termination phase: Saturation
% 0.70/0.92  
% 0.70/0.92  % (25319)Memory used [KB]: 1624
% 0.70/0.92  % (25319)Time elapsed: 0.029 s
% 0.70/0.92  % (25319)Instructions burned: 53 (million)
% 0.70/0.92  % (25319)------------------------------
% 0.70/0.92  % (25319)------------------------------
% 0.70/0.92  % (25327)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.70/0.94  % (25327)Instruction limit reached!
% 0.70/0.94  % (25327)------------------------------
% 0.70/0.94  % (25327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.94  % (25327)Termination reason: Unknown
% 0.70/0.94  % (25327)Termination phase: Saturation
% 0.70/0.94  
% 0.70/0.94  % (25327)Memory used [KB]: 1434
% 0.70/0.94  % (25327)Time elapsed: 0.018 s
% 0.70/0.94  % (25327)Instructions burned: 32 (million)
% 0.70/0.94  % (25327)------------------------------
% 0.70/0.94  % (25327)------------------------------
% 0.70/0.94  % (25320)First to succeed.
% 0.70/0.94  % (25328)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 0.70/0.94  % (25320)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25255"
% 1.04/0.94  % (25320)Refutation found. Thanks to Tanya!
% 1.04/0.94  % SZS status Theorem for Vampire---4
% 1.04/0.94  % SZS output start Proof for Vampire---4
% See solution above
% 1.04/0.94  % (25320)------------------------------
% 1.04/0.94  % (25320)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.04/0.94  % (25320)Termination reason: Refutation
% 1.04/0.94  
% 1.04/0.94  % (25320)Memory used [KB]: 1535
% 1.04/0.94  % (25320)Time elapsed: 0.044 s
% 1.04/0.94  % (25320)Instructions burned: 80 (million)
% 1.04/0.94  % (25255)Success in time 0.56 s
% 1.04/0.94  % Vampire---4.8 exiting
%------------------------------------------------------------------------------