TSTP Solution File: NUM465+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM465+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 : n002.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 08:12:16 EDT 2024

% Result   : Theorem 0.99s 0.86s
% Output   : Refutation 0.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   70 (   6 unt;   0 def)
%            Number of atoms       :  255 (  67 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  328 ( 143   ~; 136   |;  32   &)
%                                         (   8 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   57 (  52   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3166,plain,
    $false,
    inference(avatar_sat_refutation,[],[f153,f158,f163,f164,f3068,f3165]) ).

fof(f3165,plain,
    ( ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4
    | spl2_124 ),
    inference(avatar_contradiction_clause,[],[f3164]) ).

fof(f3164,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4
    | spl2_124 ),
    inference(subsumption_resolution,[],[f3163,f86]) ).

fof(f86,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm) ),
    file('/export/starexec/sandbox2/tmp/tmp.OPGHK4o0wk/Vampire---4.8_19856',m__987) ).

fof(f3163,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4
    | spl2_124 ),
    inference(subsumption_resolution,[],[f3159,f294]) ).

fof(f294,plain,
    ( aNaturalNumber0(sdtmndt0(xm,sz10))
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(superposition,[],[f162,f251]) ).

fof(f251,plain,
    ( sK0 = sdtmndt0(xm,sz10)
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(subsumption_resolution,[],[f250,f108]) ).

fof(f108,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox2/tmp/tmp.OPGHK4o0wk/Vampire---4.8_19856',mSortsC_01) ).

fof(f250,plain,
    ( sK0 = sdtmndt0(xm,sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(subsumption_resolution,[],[f249,f85]) ).

fof(f85,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f27]) ).

fof(f249,plain,
    ( sK0 = sdtmndt0(xm,sz10)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(subsumption_resolution,[],[f248,f152]) ).

fof(f152,plain,
    ( sdtlseqdt0(sz10,xm)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl2_2
  <=> sdtlseqdt0(sz10,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f248,plain,
    ( sK0 = sdtmndt0(xm,sz10)
    | ~ sdtlseqdt0(sz10,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(subsumption_resolution,[],[f220,f162]) ).

fof(f220,plain,
    ( sK0 = sdtmndt0(xm,sz10)
    | ~ aNaturalNumber0(sK0)
    | ~ sdtlseqdt0(sz10,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sz10)
    | ~ spl2_3 ),
    inference(superposition,[],[f140,f157]) ).

fof(f157,plain,
    ( xm = sdtpldt0(sz10,sK0)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f155,plain,
    ( spl2_3
  <=> xm = sdtpldt0(sz10,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f140,plain,
    ! [X2,X0] :
      ( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f124]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( sdtmndt0(X1,X0) = X2
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtmndt0(X1,X0) = X2
            | sdtpldt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtmndt0(X1,X0) != X2 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtmndt0(X1,X0) = X2
            | sdtpldt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtmndt0(X1,X0) != X2 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtlseqdt0(X0,X1)
       => ! [X2] :
            ( sdtmndt0(X1,X0) = X2
          <=> ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OPGHK4o0wk/Vampire---4.8_19856',mDefDiff) ).

fof(f162,plain,
    ( aNaturalNumber0(sK0)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f160,plain,
    ( spl2_4
  <=> aNaturalNumber0(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f3159,plain,
    ( ~ aNaturalNumber0(sdtmndt0(xm,sz10))
    | ~ aNaturalNumber0(xn)
    | spl2_124 ),
    inference(resolution,[],[f3061,f137]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.OPGHK4o0wk/Vampire---4.8_19856',mSortsB_02) ).

fof(f3061,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,sdtmndt0(xm,sz10)))
    | spl2_124 ),
    inference(avatar_component_clause,[],[f3059]) ).

fof(f3059,plain,
    ( spl2_124
  <=> aNaturalNumber0(sdtasdt0(xn,sdtmndt0(xm,sz10))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_124])]) ).

fof(f3068,plain,
    ( ~ spl2_124
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(avatar_split_clause,[],[f3067,f160,f155,f150,f3059]) ).

fof(f3067,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,sdtmndt0(xm,sz10)))
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(subsumption_resolution,[],[f2982,f86]) ).

fof(f2982,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,sdtmndt0(xm,sz10)))
    | ~ aNaturalNumber0(xn)
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f2980]) ).

fof(f2980,plain,
    ( sdtasdt0(xn,xm) != sdtasdt0(xn,xm)
    | ~ aNaturalNumber0(sdtasdt0(xn,sdtmndt0(xm,sz10)))
    | ~ aNaturalNumber0(xn)
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(superposition,[],[f91,f858]) ).

fof(f858,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(X0,sdtasdt0(X0,sdtmndt0(xm,sz10)))
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(forward_demodulation,[],[f857,f251]) ).

fof(f857,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(X0,sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(duplicate_literal_removal,[],[f818]) ).

fof(f818,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(X0,sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(superposition,[],[f243,f111]) ).

fof(f111,plain,
    ! [X0] :
      ( sdtasdt0(X0,sz10) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OPGHK4o0wk/Vampire---4.8_19856',m_MulUnit) ).

fof(f243,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(subsumption_resolution,[],[f242,f108]) ).

fof(f242,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(subsumption_resolution,[],[f216,f162]) ).

fof(f216,plain,
    ( ! [X0] :
        ( sdtasdt0(X0,xm) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sK0))
        | ~ aNaturalNumber0(sK0)
        | ~ aNaturalNumber0(sz10)
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_3 ),
    inference(superposition,[],[f130,f157]) ).

fof(f130,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OPGHK4o0wk/Vampire---4.8_19856',mAMDistr) ).

fof(f91,plain,
    ! [X0] :
      ( sdtpldt0(xn,X0) != sdtasdt0(xn,xm)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
    & ! [X0] :
        ( sdtpldt0(xn,X0) != sdtasdt0(xn,xm)
        | ~ aNaturalNumber0(X0) )
    & sz00 != xm ),
    inference(flattening,[],[f33]) ).

fof(f33,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
    & ! [X0] :
        ( sdtpldt0(xn,X0) != sdtasdt0(xn,xm)
        | ~ aNaturalNumber0(X0) )
    & sz00 != xm ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ( sz00 != xm
     => ( sdtlseqdt0(xn,sdtasdt0(xn,xm))
        | ? [X0] :
            ( sdtpldt0(xn,X0) = sdtasdt0(xn,xm)
            & aNaturalNumber0(X0) ) ) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ( sz00 != xm
   => ( sdtlseqdt0(xn,sdtasdt0(xn,xm))
      | ? [X0] :
          ( sdtpldt0(xn,X0) = sdtasdt0(xn,xm)
          & aNaturalNumber0(X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OPGHK4o0wk/Vampire---4.8_19856',m__) ).

fof(f164,plain,
    ~ spl2_1,
    inference(avatar_split_clause,[],[f90,f146]) ).

fof(f146,plain,
    ( spl2_1
  <=> sz00 = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f90,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f34]) ).

fof(f163,plain,
    ( spl2_1
    | spl2_4 ),
    inference(avatar_split_clause,[],[f87,f160,f146]) ).

fof(f87,plain,
    ( aNaturalNumber0(sK0)
    | sz00 = xm ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ( sdtlseqdt0(sz10,xm)
      & xm = sdtpldt0(sz10,sK0)
      & aNaturalNumber0(sK0) )
    | sz00 = xm ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f32,f77]) ).

fof(f77,plain,
    ( ? [X0] :
        ( xm = sdtpldt0(sz10,X0)
        & aNaturalNumber0(X0) )
   => ( xm = sdtpldt0(sz10,sK0)
      & aNaturalNumber0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ( ( sdtlseqdt0(sz10,xm)
      & ? [X0] :
          ( xm = sdtpldt0(sz10,X0)
          & aNaturalNumber0(X0) ) )
    | sz00 = xm ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ( sz00 != xm
   => ( sdtlseqdt0(sz10,xm)
      & ? [X0] :
          ( xm = sdtpldt0(sz10,X0)
          & aNaturalNumber0(X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OPGHK4o0wk/Vampire---4.8_19856',m__1007) ).

fof(f158,plain,
    ( spl2_1
    | spl2_3 ),
    inference(avatar_split_clause,[],[f88,f155,f146]) ).

fof(f88,plain,
    ( xm = sdtpldt0(sz10,sK0)
    | sz00 = xm ),
    inference(cnf_transformation,[],[f78]) ).

fof(f153,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f89,f150,f146]) ).

fof(f89,plain,
    ( sdtlseqdt0(sz10,xm)
    | sz00 = xm ),
    inference(cnf_transformation,[],[f78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM465+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % 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
% 0.15/0.35  % Computer : n002.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 14:29:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  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.OPGHK4o0wk/Vampire---4.8_19856
% 0.58/0.73  % (19972)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 (2996ds/83Mi)
% 0.58/0.74  % (19966)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 (2996ds/34Mi)
% 0.58/0.74  % (19969)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.74  % (19967)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 (2996ds/51Mi)
% 0.58/0.74  % (19968)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74  % (19970)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 (2996ds/34Mi)
% 0.58/0.74  % (19971)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75  % (19973)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 (2996ds/56Mi)
% 0.58/0.75  % (19969)Instruction limit reached!
% 0.58/0.75  % (19969)------------------------------
% 0.58/0.75  % (19969)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (19969)Termination reason: Unknown
% 0.58/0.75  % (19969)Termination phase: Saturation
% 0.58/0.75  
% 0.58/0.75  % (19969)Memory used [KB]: 1465
% 0.58/0.75  % (19969)Time elapsed: 0.019 s
% 0.58/0.75  % (19969)Instructions burned: 33 (million)
% 0.58/0.75  % (19969)------------------------------
% 0.58/0.75  % (19969)------------------------------
% 0.58/0.75  % (19970)Instruction limit reached!
% 0.58/0.75  % (19970)------------------------------
% 0.58/0.75  % (19970)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (19970)Termination reason: Unknown
% 0.58/0.75  % (19970)Termination phase: Saturation
% 0.58/0.75  
% 0.58/0.75  % (19970)Memory used [KB]: 1423
% 0.58/0.75  % (19970)Time elapsed: 0.020 s
% 0.58/0.75  % (19970)Instructions burned: 35 (million)
% 0.58/0.75  % (19970)------------------------------
% 0.58/0.75  % (19970)------------------------------
% 0.58/0.76  % (19966)Instruction limit reached!
% 0.58/0.76  % (19966)------------------------------
% 0.58/0.76  % (19966)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (19966)Termination reason: Unknown
% 0.58/0.76  % (19966)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (19966)Memory used [KB]: 1355
% 0.58/0.76  % (19966)Time elapsed: 0.022 s
% 0.58/0.76  % (19966)Instructions burned: 35 (million)
% 0.58/0.76  % (19966)------------------------------
% 0.58/0.76  % (19966)------------------------------
% 0.58/0.76  % (19972)Instruction limit reached!
% 0.58/0.76  % (19972)------------------------------
% 0.58/0.76  % (19972)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (19972)Termination reason: Unknown
% 0.58/0.76  % (19972)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (19972)Memory used [KB]: 1985
% 0.58/0.76  % (19972)Time elapsed: 0.023 s
% 0.58/0.76  % (19972)Instructions burned: 84 (million)
% 0.58/0.76  % (19972)------------------------------
% 0.58/0.76  % (19972)------------------------------
% 0.58/0.76  % (19975)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 (2996ds/50Mi)
% 0.58/0.76  % (19974)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 (2996ds/55Mi)
% 0.58/0.76  % (19977)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 (2996ds/52Mi)
% 0.58/0.76  % (19976)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 (2996ds/208Mi)
% 0.58/0.76  % (19971)Instruction limit reached!
% 0.58/0.76  % (19971)------------------------------
% 0.58/0.76  % (19971)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (19971)Termination reason: Unknown
% 0.58/0.76  % (19971)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (19971)Memory used [KB]: 1485
% 0.58/0.76  % (19971)Time elapsed: 0.028 s
% 0.58/0.76  % (19971)Instructions burned: 45 (million)
% 0.58/0.76  % (19971)------------------------------
% 0.58/0.76  % (19971)------------------------------
% 0.69/0.77  % (19978)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 (2996ds/518Mi)
% 0.69/0.77  % (19967)Instruction limit reached!
% 0.69/0.77  % (19967)------------------------------
% 0.69/0.77  % (19967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.77  % (19967)Termination reason: Unknown
% 0.69/0.77  % (19967)Termination phase: Saturation
% 0.69/0.77  
% 0.69/0.77  % (19967)Memory used [KB]: 1942
% 0.69/0.77  % (19967)Time elapsed: 0.036 s
% 0.69/0.77  % (19967)Instructions burned: 52 (million)
% 0.69/0.77  % (19967)------------------------------
% 0.69/0.77  % (19967)------------------------------
% 0.69/0.78  % (19979)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 (2995ds/42Mi)
% 0.69/0.78  % (19977)Instruction limit reached!
% 0.69/0.78  % (19977)------------------------------
% 0.69/0.78  % (19977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.78  % (19977)Termination reason: Unknown
% 0.69/0.78  % (19977)Termination phase: Saturation
% 0.69/0.78  
% 0.69/0.78  % (19975)Instruction limit reached!
% 0.69/0.78  % (19975)------------------------------
% 0.69/0.78  % (19975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.78  % (19975)Termination reason: Unknown
% 0.69/0.78  % (19975)Termination phase: Saturation
% 0.69/0.78  
% 0.69/0.78  % (19975)Memory used [KB]: 1518
% 0.69/0.78  % (19975)Time elapsed: 0.044 s
% 0.69/0.78  % (19975)Instructions burned: 52 (million)
% 0.69/0.78  % (19975)------------------------------
% 0.69/0.78  % (19975)------------------------------
% 0.69/0.78  % (19977)Memory used [KB]: 1519
% 0.69/0.78  % (19977)Time elapsed: 0.042 s
% 0.69/0.78  % (19977)Instructions burned: 53 (million)
% 0.69/0.78  % (19977)------------------------------
% 0.69/0.78  % (19977)------------------------------
% 0.69/0.78  % (19968)Instruction limit reached!
% 0.69/0.78  % (19968)------------------------------
% 0.69/0.78  % (19968)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.78  % (19968)Termination reason: Unknown
% 0.69/0.78  % (19968)Termination phase: Saturation
% 0.69/0.78  
% 0.69/0.78  % (19968)Memory used [KB]: 1597
% 0.69/0.78  % (19968)Time elapsed: 0.046 s
% 0.69/0.78  % (19968)Instructions burned: 78 (million)
% 0.69/0.78  % (19968)------------------------------
% 0.69/0.78  % (19968)------------------------------
% 0.69/0.78  % (19980)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 (2995ds/243Mi)
% 0.69/0.78  % (19981)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 (2995ds/117Mi)
% 0.69/0.78  % (19982)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 (2995ds/143Mi)
% 0.69/0.78  % (19973)Instruction limit reached!
% 0.69/0.78  % (19973)------------------------------
% 0.69/0.78  % (19973)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.78  % (19973)Termination reason: Unknown
% 0.69/0.78  % (19973)Termination phase: Saturation
% 0.69/0.78  
% 0.69/0.78  % (19973)Memory used [KB]: 1579
% 0.69/0.78  % (19973)Time elapsed: 0.057 s
% 0.69/0.79  % (19973)Instructions burned: 56 (million)
% 0.69/0.79  % (19973)------------------------------
% 0.69/0.79  % (19973)------------------------------
% 0.69/0.79  % (19974)Instruction limit reached!
% 0.69/0.79  % (19974)------------------------------
% 0.69/0.79  % (19974)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.79  % (19974)Termination reason: Unknown
% 0.69/0.79  % (19974)Termination phase: Saturation
% 0.69/0.79  
% 0.69/0.79  % (19974)Memory used [KB]: 2024
% 0.69/0.79  % (19974)Time elapsed: 0.053 s
% 0.69/0.79  % (19974)Instructions burned: 57 (million)
% 0.69/0.79  % (19974)------------------------------
% 0.69/0.79  % (19974)------------------------------
% 0.69/0.79  % (19983)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 (2995ds/93Mi)
% 0.69/0.79  % (19984)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 (2995ds/62Mi)
% 0.69/0.80  % (19979)Instruction limit reached!
% 0.69/0.80  % (19979)------------------------------
% 0.69/0.80  % (19979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.80  % (19979)Termination reason: Unknown
% 0.69/0.80  % (19979)Termination phase: Saturation
% 0.69/0.80  
% 0.69/0.80  % (19979)Memory used [KB]: 1406
% 0.69/0.80  % (19979)Time elapsed: 0.045 s
% 0.69/0.80  % (19979)Instructions burned: 42 (million)
% 0.69/0.80  % (19979)------------------------------
% 0.69/0.80  % (19979)------------------------------
% 0.69/0.80  % (19985)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 (2995ds/32Mi)
% 0.69/0.82  % (19981)Instruction limit reached!
% 0.69/0.82  % (19981)------------------------------
% 0.69/0.82  % (19981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.82  % (19981)Termination reason: Unknown
% 0.69/0.82  % (19981)Termination phase: Saturation
% 0.69/0.82  
% 0.69/0.82  % (19981)Memory used [KB]: 1931
% 0.69/0.82  % (19981)Time elapsed: 0.060 s
% 0.69/0.82  % (19981)Instructions burned: 118 (million)
% 0.69/0.82  % (19981)------------------------------
% 0.69/0.82  % (19981)------------------------------
% 0.69/0.82  % (19986)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 (2995ds/1919Mi)
% 0.69/0.82  % (19985)Instruction limit reached!
% 0.69/0.82  % (19985)------------------------------
% 0.69/0.82  % (19985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.82  % (19985)Termination reason: Unknown
% 0.69/0.82  % (19985)Termination phase: Saturation
% 0.69/0.82  
% 0.69/0.82  % (19985)Memory used [KB]: 1583
% 0.69/0.82  % (19985)Time elapsed: 0.021 s
% 0.69/0.82  % (19985)Instructions burned: 33 (million)
% 0.69/0.82  % (19985)------------------------------
% 0.69/0.82  % (19985)------------------------------
% 0.69/0.83  % (19987)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.99/0.84  % (19984)Instruction limit reached!
% 0.99/0.84  % (19984)------------------------------
% 0.99/0.84  % (19984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.99/0.84  % (19984)Termination reason: Unknown
% 0.99/0.84  % (19984)Termination phase: Saturation
% 0.99/0.84  
% 0.99/0.84  % (19984)Memory used [KB]: 2034
% 0.99/0.84  % (19984)Time elapsed: 0.051 s
% 0.99/0.84  % (19984)Instructions burned: 63 (million)
% 0.99/0.84  % (19984)------------------------------
% 0.99/0.84  % (19984)------------------------------
% 0.99/0.84  % (19988)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.99/0.84  % (19983)Instruction limit reached!
% 0.99/0.84  % (19983)------------------------------
% 0.99/0.84  % (19983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.99/0.84  % (19983)Termination reason: Unknown
% 0.99/0.84  % (19983)Termination phase: Saturation
% 0.99/0.84  
% 0.99/0.84  % (19983)Memory used [KB]: 2204
% 0.99/0.84  % (19983)Time elapsed: 0.057 s
% 0.99/0.84  % (19983)Instructions burned: 93 (million)
% 0.99/0.84  % (19983)------------------------------
% 0.99/0.84  % (19983)------------------------------
% 0.99/0.85  % (19989)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.99/0.85  % (19987)Instruction limit reached!
% 0.99/0.85  % (19987)------------------------------
% 0.99/0.85  % (19987)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.99/0.85  % (19987)Termination reason: Unknown
% 0.99/0.85  % (19987)Termination phase: Saturation
% 0.99/0.85  
% 0.99/0.85  % (19987)Memory used [KB]: 2213
% 0.99/0.85  % (19987)Time elapsed: 0.029 s
% 0.99/0.85  % (19987)Instructions burned: 55 (million)
% 0.99/0.85  % (19987)------------------------------
% 0.99/0.85  % (19987)------------------------------
% 0.99/0.85  % (19978)First to succeed.
% 0.99/0.85  % (19980)Instruction limit reached!
% 0.99/0.85  % (19980)------------------------------
% 0.99/0.85  % (19980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.99/0.85  % (19980)Termination reason: Unknown
% 0.99/0.85  % (19980)Termination phase: Saturation
% 0.99/0.85  
% 0.99/0.85  % (19980)Memory used [KB]: 2071
% 0.99/0.85  % (19980)Time elapsed: 0.097 s
% 0.99/0.85  % (19980)Instructions burned: 246 (million)
% 0.99/0.85  % (19980)------------------------------
% 0.99/0.85  % (19980)------------------------------
% 0.99/0.86  % (19978)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19965"
% 0.99/0.86  % (19978)Refutation found. Thanks to Tanya!
% 0.99/0.86  % SZS status Theorem for Vampire---4
% 0.99/0.86  % SZS output start Proof for Vampire---4
% See solution above
% 0.99/0.86  % (19978)------------------------------
% 0.99/0.86  % (19978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.99/0.86  % (19978)Termination reason: Refutation
% 0.99/0.86  
% 0.99/0.86  % (19978)Memory used [KB]: 2357
% 0.99/0.86  % (19978)Time elapsed: 0.113 s
% 0.99/0.86  % (19978)Instructions burned: 169 (million)
% 0.99/0.86  % (19965)Success in time 0.501 s
% 0.99/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------