TSTP Solution File: NUM471+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM471+1 : 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 : n014.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 08:12:19 EDT 2024

% Result   : Theorem 1.24s 0.93s
% Output   : Refutation 1.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  128 (  21 unt;   0 def)
%            Number of atoms       :  447 ( 105 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  549 ( 230   ~; 249   |;  44   &)
%                                         (  15 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  100 (  94   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2219,plain,
    $false,
    inference(avatar_sat_refutation,[],[f344,f382,f386,f1167,f2073,f2081,f2157,f2174,f2208,f2218]) ).

fof(f2218,plain,
    ( ~ spl2_2
    | ~ spl2_13 ),
    inference(avatar_contradiction_clause,[],[f2217]) ).

fof(f2217,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_13 ),
    inference(subsumption_resolution,[],[f2214,f178]) ).

fof(f178,plain,
    ( aNaturalNumber0(xp)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f177,plain,
    ( spl2_2
  <=> aNaturalNumber0(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f2214,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ spl2_13 ),
    inference(resolution,[],[f2210,f145]) ).

fof(f145,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.NRtzLAWsoW/Vampire---4.8_27981',mLERefl) ).

fof(f2210,plain,
    ( ~ sdtlseqdt0(xp,xp)
    | ~ spl2_13 ),
    inference(backward_demodulation,[],[f108,f1166]) ).

fof(f1166,plain,
    ( xp = xq
    | ~ spl2_13 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f1164,plain,
    ( spl2_13
  <=> xp = xq ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f108,plain,
    ~ sdtlseqdt0(xp,xq),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ~ sdtlseqdt0(xp,xq),
    inference(flattening,[],[f40]) ).

fof(f40,negated_conjecture,
    ~ sdtlseqdt0(xp,xq),
    inference(negated_conjecture,[],[f39]) ).

fof(f39,conjecture,
    sdtlseqdt0(xp,xq),
    file('/export/starexec/sandbox2/tmp/tmp.NRtzLAWsoW/Vampire---4.8_27981',m__) ).

fof(f2208,plain,
    ( ~ spl2_6
    | spl2_10 ),
    inference(avatar_split_clause,[],[f2207,f654,f361]) ).

fof(f361,plain,
    ( spl2_6
  <=> aNaturalNumber0(sdtpldt0(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f654,plain,
    ( spl2_10
  <=> sdtpldt0(xm,xn) = sdtasdt0(xl,xq) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f2207,plain,
    ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(subsumption_resolution,[],[f2206,f100]) ).

fof(f100,plain,
    aNaturalNumber0(xl),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xl) ),
    file('/export/starexec/sandbox2/tmp/tmp.NRtzLAWsoW/Vampire---4.8_27981',m__1324) ).

fof(f2206,plain,
    ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(xl) ),
    inference(subsumption_resolution,[],[f2205,f105]) ).

fof(f105,plain,
    sz00 != xl,
    inference(cnf_transformation,[],[f36]) ).

fof(f36,axiom,
    sz00 != xl,
    file('/export/starexec/sandbox2/tmp/tmp.NRtzLAWsoW/Vampire---4.8_27981',m__1347) ).

fof(f2205,plain,
    ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
    | sz00 = xl
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(xl) ),
    inference(subsumption_resolution,[],[f2203,f104]) ).

fof(f104,plain,
    doDivides0(xl,sdtpldt0(xm,xn)),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    ( doDivides0(xl,sdtpldt0(xm,xn))
    & doDivides0(xl,xm) ),
    file('/export/starexec/sandbox2/tmp/tmp.NRtzLAWsoW/Vampire---4.8_27981',m__1324_04) ).

fof(f2203,plain,
    ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
    | ~ doDivides0(xl,sdtpldt0(xm,xn))
    | sz00 = xl
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(xl) ),
    inference(superposition,[],[f155,f107]) ).

fof(f107,plain,
    xq = sdtsldt0(sdtpldt0(xm,xn),xl),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    xq = sdtsldt0(sdtpldt0(xm,xn),xl),
    file('/export/starexec/sandbox2/tmp/tmp.NRtzLAWsoW/Vampire---4.8_27981',m__1379) ).

fof(f155,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f117]) ).

fof(f117,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,X2) = X1
      | sdtsldt0(X1,X0) != X2
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtsldt0(X1,X0) = X2
            | sdtasdt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtsldt0(X1,X0) = X2
            | sdtasdt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtsldt0(X1,X0) = X2
        <=> ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtsldt0(X1,X0) = X2
        <=> ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,X1)
          & sz00 != X0 )
       => ! [X2] :
            ( sdtsldt0(X1,X0) = X2
          <=> ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NRtzLAWsoW/Vampire---4.8_27981',mDefQuot) ).

fof(f2174,plain,
    ( spl2_13
    | ~ spl2_37 ),
    inference(avatar_split_clause,[],[f2171,f1981,f1164]) ).

fof(f1981,plain,
    ( spl2_37
  <=> xm = sdtpldt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).

fof(f2171,plain,
    ( xp = xq
    | ~ spl2_37 ),
    inference(backward_demodulation,[],[f2095,f106]) ).

fof(f106,plain,
    xp = sdtsldt0(xm,xl),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    xp = sdtsldt0(xm,xl),
    file('/export/starexec/sandbox2/tmp/tmp.NRtzLAWsoW/Vampire---4.8_27981',m__1360) ).

fof(f2095,plain,
    ( sdtsldt0(xm,xl) = xq
    | ~ spl2_37 ),
    inference(backward_demodulation,[],[f107,f1983]) ).

fof(f1983,plain,
    ( xm = sdtpldt0(xm,xn)
    | ~ spl2_37 ),
    inference(avatar_component_clause,[],[f1981]) ).

fof(f2157,plain,
    ( ~ spl2_2
    | spl2_3
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f2156,f173,f181,f177]) ).

fof(f181,plain,
    ( spl2_3
  <=> sdtlseqdt0(xq,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f173,plain,
    ( spl2_1
  <=> aNaturalNumber0(xq) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f2156,plain,
    ( sdtlseqdt0(xq,xp)
    | ~ aNaturalNumber0(xp)
    | ~ spl2_1 ),
    inference(subsumption_resolution,[],[f2155,f174]) ).

fof(f174,plain,
    ( aNaturalNumber0(xq)
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f2155,plain,
    ( sdtlseqdt0(xq,xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xq) ),
    inference(resolution,[],[f108,f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & X0 != X1 )
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NRtzLAWsoW/Vampire---4.8_27981',mLETotal) ).

fof(f2081,plain,
    ( spl2_37
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_12
    | ~ spl2_36 ),
    inference(avatar_split_clause,[],[f2080,f1977,f1161,f654,f361,f1981]) ).

fof(f1161,plain,
    ( spl2_12
  <=> ! [X0] :
        ( sz00 = X0
        | ~ aNaturalNumber0(X0)
        | sdtlseqdt0(sdtasdt0(X0,xq),sdtasdt0(X0,xp)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f1977,plain,
    ( spl2_36
  <=> sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).

fof(f2080,plain,
    ( xm = sdtpldt0(xm,xn)
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_12
    | ~ spl2_36 ),
    inference(subsumption_resolution,[],[f2079,f362]) ).

fof(f362,plain,
    ( aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f2079,plain,
    ( xm = sdtpldt0(xm,xn)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ spl2_10
    | ~ spl2_12
    | ~ spl2_36 ),
    inference(subsumption_resolution,[],[f2078,f101]) ).

fof(f101,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f34]) ).

fof(f2078,plain,
    ( xm = sdtpldt0(xm,xn)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ spl2_10
    | ~ spl2_12
    | ~ spl2_36 ),
    inference(subsumption_resolution,[],[f2075,f1387]) ).

fof(f1387,plain,
    ( sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | ~ spl2_10
    | ~ spl2_12 ),
    inference(forward_demodulation,[],[f1386,f649]) ).

fof(f649,plain,
    xm = sdtasdt0(xl,xp),
    inference(subsumption_resolution,[],[f648,f100]) ).

fof(f648,plain,
    ( xm = sdtasdt0(xl,xp)
    | ~ aNaturalNumber0(xl) ),
    inference(subsumption_resolution,[],[f647,f101]) ).

fof(f647,plain,
    ( xm = sdtasdt0(xl,xp)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xl) ),
    inference(subsumption_resolution,[],[f646,f105]) ).

fof(f646,plain,
    ( xm = sdtasdt0(xl,xp)
    | sz00 = xl
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xl) ),
    inference(subsumption_resolution,[],[f628,f103]) ).

fof(f103,plain,
    doDivides0(xl,xm),
    inference(cnf_transformation,[],[f35]) ).

fof(f628,plain,
    ( xm = sdtasdt0(xl,xp)
    | ~ doDivides0(xl,xm)
    | sz00 = xl
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xl) ),
    inference(superposition,[],[f155,f106]) ).

fof(f1386,plain,
    ( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(xl,xp))
    | ~ spl2_10
    | ~ spl2_12 ),
    inference(subsumption_resolution,[],[f1385,f105]) ).

fof(f1385,plain,
    ( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(xl,xp))
    | sz00 = xl
    | ~ spl2_10
    | ~ spl2_12 ),
    inference(subsumption_resolution,[],[f1369,f100]) ).

fof(f1369,plain,
    ( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(xl,xp))
    | ~ aNaturalNumber0(xl)
    | sz00 = xl
    | ~ spl2_10
    | ~ spl2_12 ),
    inference(superposition,[],[f1162,f656]) ).

fof(f656,plain,
    ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f1162,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sdtasdt0(X0,xq),sdtasdt0(X0,xp))
        | ~ aNaturalNumber0(X0)
        | sz00 = X0 )
    | ~ spl2_12 ),
    inference(avatar_component_clause,[],[f1161]) ).

fof(f2075,plain,
    ( xm = sdtpldt0(xm,xn)
    | ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ spl2_36 ),
    inference(resolution,[],[f1978,f144]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NRtzLAWsoW/Vampire---4.8_27981',mLEAsym) ).

fof(f1978,plain,
    ( sdtlseqdt0(xm,sdtpldt0(xm,xn))
    | ~ spl2_36 ),
    inference(avatar_component_clause,[],[f1977]) ).

fof(f2073,plain,
    spl2_36,
    inference(avatar_contradiction_clause,[],[f2072]) ).

fof(f2072,plain,
    ( $false
    | spl2_36 ),
    inference(subsumption_resolution,[],[f2071,f101]) ).

fof(f2071,plain,
    ( ~ aNaturalNumber0(xm)
    | spl2_36 ),
    inference(subsumption_resolution,[],[f2069,f102]) ).

fof(f102,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f34]) ).

fof(f2069,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | spl2_36 ),
    inference(resolution,[],[f1979,f282]) ).

fof(f282,plain,
    ! [X2,X0] :
      ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f159,f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.NRtzLAWsoW/Vampire---4.8_27981',mSortsB) ).

fof(f159,plain,
    ! [X2,X0] :
      ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f148]) ).

fof(f148,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ( sdtpldt0(X0,sK1(X0,X1)) = X1
            & aNaturalNumber0(sK1(X0,X1)) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f97,f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtpldt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtpldt0(X0,sK1(X0,X1)) = X1
        & aNaturalNumber0(sK1(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X3] :
              ( sdtpldt0(X0,X3) = X1
              & aNaturalNumber0(X3) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X2] :
              ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NRtzLAWsoW/Vampire---4.8_27981',mDefLE) ).

fof(f1979,plain,
    ( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
    | spl2_36 ),
    inference(avatar_component_clause,[],[f1977]) ).

fof(f1167,plain,
    ( spl2_12
    | spl2_13
    | ~ spl2_1
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f1159,f181,f177,f173,f1164,f1161]) ).

fof(f1159,plain,
    ( ! [X0] :
        ( xp = xq
        | sz00 = X0
        | sdtlseqdt0(sdtasdt0(X0,xq),sdtasdt0(X0,xp))
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_1
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f1142,f174]) ).

fof(f1142,plain,
    ( ! [X0] :
        ( xp = xq
        | sz00 = X0
        | sdtlseqdt0(sdtasdt0(X0,xq),sdtasdt0(X0,xp))
        | ~ aNaturalNumber0(xq)
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(resolution,[],[f1134,f183]) ).

fof(f183,plain,
    ( sdtlseqdt0(xq,xp)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f1134,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(X0,xp)
        | xp = X0
        | sz00 = X1
        | sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X1,xp))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X1) )
    | ~ spl2_2 ),
    inference(resolution,[],[f124,f178]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & X1 != X2
          & sz00 != X0 )
       => ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
          & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
          & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
          & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NRtzLAWsoW/Vampire---4.8_27981',mMonMul) ).

fof(f386,plain,
    ( ~ spl2_6
    | spl2_1 ),
    inference(avatar_split_clause,[],[f385,f173,f361]) ).

fof(f385,plain,
    ( aNaturalNumber0(xq)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(subsumption_resolution,[],[f384,f100]) ).

fof(f384,plain,
    ( aNaturalNumber0(xq)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(xl) ),
    inference(subsumption_resolution,[],[f383,f105]) ).

fof(f383,plain,
    ( aNaturalNumber0(xq)
    | sz00 = xl
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(xl) ),
    inference(subsumption_resolution,[],[f339,f104]) ).

fof(f339,plain,
    ( aNaturalNumber0(xq)
    | ~ doDivides0(xl,sdtpldt0(xm,xn))
    | sz00 = xl
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(xl) ),
    inference(superposition,[],[f156,f107]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtsldt0(X1,X0))
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f116]) ).

fof(f116,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtsldt0(X1,X0) != X2
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f382,plain,
    spl2_6,
    inference(avatar_contradiction_clause,[],[f381]) ).

fof(f381,plain,
    ( $false
    | spl2_6 ),
    inference(subsumption_resolution,[],[f380,f101]) ).

fof(f380,plain,
    ( ~ aNaturalNumber0(xm)
    | spl2_6 ),
    inference(subsumption_resolution,[],[f379,f102]) ).

fof(f379,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | spl2_6 ),
    inference(resolution,[],[f363,f113]) ).

fof(f363,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | spl2_6 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f344,plain,
    spl2_2,
    inference(avatar_split_clause,[],[f343,f177]) ).

fof(f343,plain,
    aNaturalNumber0(xp),
    inference(subsumption_resolution,[],[f342,f100]) ).

fof(f342,plain,
    ( aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xl) ),
    inference(subsumption_resolution,[],[f341,f101]) ).

fof(f341,plain,
    ( aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xl) ),
    inference(subsumption_resolution,[],[f340,f105]) ).

fof(f340,plain,
    ( aNaturalNumber0(xp)
    | sz00 = xl
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xl) ),
    inference(subsumption_resolution,[],[f338,f103]) ).

fof(f338,plain,
    ( aNaturalNumber0(xp)
    | ~ doDivides0(xl,xm)
    | sz00 = xl
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xl) ),
    inference(superposition,[],[f156,f106]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : NUM471+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15  % 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 : n014.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 14:19:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.NRtzLAWsoW/Vampire---4.8_27981
% 0.56/0.74  % (28156)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)
% 0.56/0.75  % (28161)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)
% 0.56/0.75  % (28158)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (28160)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)
% 0.56/0.75  % (28157)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)
% 0.56/0.75  % (28165)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)
% 0.56/0.75  % (28164)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)
% 0.59/0.76  % (28156)Instruction limit reached!
% 0.59/0.76  % (28156)------------------------------
% 0.59/0.76  % (28156)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (28156)Termination reason: Unknown
% 0.59/0.76  % (28156)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (28156)Memory used [KB]: 1346
% 0.59/0.76  % (28156)Time elapsed: 0.020 s
% 0.59/0.76  % (28156)Instructions burned: 35 (million)
% 0.59/0.76  % (28156)------------------------------
% 0.59/0.76  % (28156)------------------------------
% 0.59/0.77  % (28168)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)
% 0.59/0.77  % (28163)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)
% 0.59/0.78  % (28165)Instruction limit reached!
% 0.59/0.78  % (28165)------------------------------
% 0.59/0.78  % (28165)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (28165)Termination reason: Unknown
% 0.59/0.78  % (28165)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (28165)Memory used [KB]: 1508
% 0.59/0.78  % (28165)Time elapsed: 0.033 s
% 0.59/0.78  % (28165)Instructions burned: 56 (million)
% 0.59/0.78  % (28165)------------------------------
% 0.59/0.78  % (28165)------------------------------
% 0.59/0.78  % (28160)Instruction limit reached!
% 0.59/0.78  % (28160)------------------------------
% 0.59/0.78  % (28160)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (28160)Termination reason: Unknown
% 0.59/0.78  % (28160)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (28160)Memory used [KB]: 1454
% 0.59/0.78  % (28160)Time elapsed: 0.035 s
% 0.59/0.78  % (28160)Instructions burned: 33 (million)
% 0.59/0.78  % (28160)------------------------------
% 0.59/0.78  % (28160)------------------------------
% 0.59/0.78  % (28161)Instruction limit reached!
% 0.59/0.78  % (28161)------------------------------
% 0.59/0.78  % (28161)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (28161)Termination reason: Unknown
% 0.59/0.78  % (28161)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (28161)Memory used [KB]: 1423
% 0.59/0.78  % (28161)Time elapsed: 0.036 s
% 0.59/0.78  % (28161)Instructions burned: 34 (million)
% 0.59/0.78  % (28161)------------------------------
% 0.59/0.78  % (28161)------------------------------
% 0.59/0.78  % (28170)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 (2995ds/50Mi)
% 0.59/0.78  % (28171)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 (2995ds/208Mi)
% 0.59/0.79  % (28172)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 (2995ds/52Mi)
% 0.59/0.80  % (28168)Instruction limit reached!
% 0.59/0.80  % (28168)------------------------------
% 0.59/0.80  % (28168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (28168)Termination reason: Unknown
% 0.59/0.80  % (28168)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (28168)Memory used [KB]: 2044
% 0.59/0.80  % (28168)Time elapsed: 0.033 s
% 0.59/0.80  % (28168)Instructions burned: 56 (million)
% 0.59/0.80  % (28168)------------------------------
% 0.59/0.80  % (28168)------------------------------
% 0.59/0.80  % (28177)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 (2995ds/518Mi)
% 0.59/0.80  % (28157)Instruction limit reached!
% 0.59/0.80  % (28157)------------------------------
% 0.59/0.80  % (28157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (28157)Termination reason: Unknown
% 0.59/0.80  % (28157)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (28157)Memory used [KB]: 1899
% 0.59/0.80  % (28157)Time elapsed: 0.058 s
% 0.59/0.80  % (28157)Instructions burned: 51 (million)
% 0.59/0.80  % (28157)------------------------------
% 0.59/0.80  % (28157)------------------------------
% 0.59/0.80  % (28163)Instruction limit reached!
% 0.59/0.80  % (28163)------------------------------
% 0.59/0.80  % (28163)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (28163)Termination reason: Unknown
% 0.59/0.80  % (28163)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (28163)Memory used [KB]: 1413
% 0.59/0.80  % (28163)Time elapsed: 0.051 s
% 0.59/0.80  % (28163)Instructions burned: 47 (million)
% 0.59/0.80  % (28163)------------------------------
% 0.59/0.80  % (28163)------------------------------
% 0.59/0.81  % (28170)Instruction limit reached!
% 0.59/0.81  % (28170)------------------------------
% 0.59/0.81  % (28170)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (28170)Termination reason: Unknown
% 0.59/0.81  % (28170)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (28170)Memory used [KB]: 1531
% 0.59/0.81  % (28170)Time elapsed: 0.026 s
% 0.59/0.81  % (28170)Instructions burned: 50 (million)
% 0.59/0.81  % (28170)------------------------------
% 0.59/0.81  % (28170)------------------------------
% 0.59/0.81  % (28178)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)
% 0.59/0.81  % (28180)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)
% 0.59/0.81  % (28178)Refutation not found, incomplete strategy% (28178)------------------------------
% 0.59/0.81  % (28178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (28178)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81  
% 0.59/0.81  % (28178)Memory used [KB]: 1090
% 0.59/0.81  % (28178)Time elapsed: 0.005 s
% 0.59/0.81  % (28178)Instructions burned: 5 (million)
% 0.59/0.81  % (28178)------------------------------
% 0.59/0.81  % (28178)------------------------------
% 0.59/0.81  % (28164)Instruction limit reached!
% 0.59/0.81  % (28164)------------------------------
% 0.59/0.81  % (28164)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (28164)Termination reason: Unknown
% 0.59/0.81  % (28164)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (28164)Memory used [KB]: 1843
% 0.59/0.81  % (28164)Time elapsed: 0.045 s
% 0.59/0.81  % (28164)Instructions burned: 84 (million)
% 0.59/0.81  % (28164)------------------------------
% 0.59/0.81  % (28164)------------------------------
% 0.59/0.81  % (28181)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)
% 0.59/0.82  % (28179)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)
% 0.59/0.82  % (28158)Instruction limit reached!
% 0.59/0.82  % (28158)------------------------------
% 0.59/0.82  % (28158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (28158)Termination reason: Unknown
% 0.59/0.83  % (28158)Termination phase: Saturation
% 0.59/0.83  
% 0.59/0.83  % (28158)Memory used [KB]: 1729
% 0.59/0.83  % (28158)Time elapsed: 0.082 s
% 0.59/0.83  % (28158)Instructions burned: 78 (million)
% 0.59/0.83  % (28158)------------------------------
% 0.59/0.83  % (28158)------------------------------
% 0.59/0.83  % (28182)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)
% 0.59/0.83  % (28183)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)
% 0.59/0.84  % (28172)Instruction limit reached!
% 0.59/0.84  % (28172)------------------------------
% 0.59/0.84  % (28172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.84  % (28172)Termination reason: Unknown
% 0.59/0.84  % (28172)Termination phase: Saturation
% 0.59/0.84  
% 0.59/0.84  % (28172)Memory used [KB]: 1607
% 0.59/0.84  % (28172)Time elapsed: 0.054 s
% 0.59/0.84  % (28172)Instructions burned: 53 (million)
% 0.59/0.84  % (28172)------------------------------
% 0.59/0.84  % (28172)------------------------------
% 0.59/0.84  % (28186)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)
% 1.06/0.86  % (28186)Instruction limit reached!
% 1.06/0.86  % (28186)------------------------------
% 1.06/0.86  % (28186)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.86  % (28186)Termination reason: Unknown
% 1.06/0.86  % (28186)Termination phase: Saturation
% 1.06/0.86  
% 1.06/0.86  % (28186)Memory used [KB]: 1571
% 1.06/0.86  % (28186)Time elapsed: 0.022 s
% 1.06/0.86  % (28186)Instructions burned: 33 (million)
% 1.06/0.86  % (28186)------------------------------
% 1.06/0.86  % (28186)------------------------------
% 1.06/0.86  % (28183)Instruction limit reached!
% 1.06/0.86  % (28183)------------------------------
% 1.06/0.86  % (28183)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.86  % (28183)Termination reason: Unknown
% 1.06/0.86  % (28183)Termination phase: Saturation
% 1.06/0.86  
% 1.06/0.86  % (28183)Memory used [KB]: 1929
% 1.06/0.86  % (28183)Time elapsed: 0.034 s
% 1.06/0.86  % (28183)Instructions burned: 62 (million)
% 1.06/0.86  % (28183)------------------------------
% 1.06/0.86  % (28183)------------------------------
% 1.06/0.87  % (28190)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)
% 1.06/0.87  % (28191)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)
% 1.06/0.87  % (28180)Instruction limit reached!
% 1.06/0.87  % (28180)------------------------------
% 1.06/0.87  % (28180)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.87  % (28180)Termination reason: Unknown
% 1.06/0.87  % (28180)Termination phase: Saturation
% 1.06/0.87  
% 1.06/0.87  % (28180)Memory used [KB]: 2009
% 1.06/0.87  % (28180)Time elapsed: 0.062 s
% 1.06/0.87  % (28180)Instructions burned: 117 (million)
% 1.06/0.87  % (28180)------------------------------
% 1.06/0.87  % (28180)------------------------------
% 1.06/0.87  % (28193)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)
% 1.06/0.88  % (28181)Instruction limit reached!
% 1.06/0.88  % (28181)------------------------------
% 1.06/0.88  % (28181)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.88  % (28181)Termination reason: Unknown
% 1.06/0.88  % (28181)Termination phase: Saturation
% 1.06/0.88  
% 1.06/0.88  % (28181)Memory used [KB]: 1583
% 1.06/0.88  % (28181)Time elapsed: 0.060 s
% 1.06/0.88  % (28181)Instructions burned: 146 (million)
% 1.06/0.88  % (28181)------------------------------
% 1.06/0.88  % (28181)------------------------------
% 1.06/0.88  % (28194)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)
% 1.24/0.89  % (28191)Instruction limit reached!
% 1.24/0.89  % (28191)------------------------------
% 1.24/0.89  % (28191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.24/0.89  % (28191)Termination reason: Unknown
% 1.24/0.89  % (28191)Termination phase: Saturation
% 1.24/0.89  
% 1.24/0.89  % (28191)Memory used [KB]: 2251
% 1.24/0.89  % (28191)Time elapsed: 0.030 s
% 1.24/0.89  % (28191)Instructions burned: 57 (million)
% 1.24/0.89  % (28191)------------------------------
% 1.24/0.89  % (28191)------------------------------
% 1.24/0.90  % (28193)Instruction limit reached!
% 1.24/0.90  % (28193)------------------------------
% 1.24/0.90  % (28193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.24/0.90  % (28193)Termination reason: Unknown
% 1.24/0.90  % (28193)Termination phase: Saturation
% 1.24/0.90  
% 1.24/0.90  % (28193)Memory used [KB]: 1587
% 1.24/0.90  % (28193)Time elapsed: 0.026 s
% 1.24/0.90  % (28193)Instructions burned: 54 (million)
% 1.24/0.90  % (28193)------------------------------
% 1.24/0.90  % (28193)------------------------------
% 1.24/0.90  % (28198)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 1.24/0.90  % (28199)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 1.24/0.90  % (28182)Instruction limit reached!
% 1.24/0.90  % (28182)------------------------------
% 1.24/0.90  % (28182)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.24/0.90  % (28182)Termination reason: Unknown
% 1.24/0.90  % (28182)Termination phase: Saturation
% 1.24/0.90  
% 1.24/0.90  % (28182)Memory used [KB]: 1899
% 1.24/0.90  % (28182)Time elapsed: 0.083 s
% 1.24/0.90  % (28182)Instructions burned: 93 (million)
% 1.24/0.90  % (28182)------------------------------
% 1.24/0.90  % (28182)------------------------------
% 1.24/0.91  % (28201)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 1.24/0.91  % (28194)Instruction limit reached!
% 1.24/0.91  % (28194)------------------------------
% 1.24/0.91  % (28194)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.24/0.91  % (28194)Termination reason: Unknown
% 1.24/0.91  % (28194)Termination phase: Saturation
% 1.24/0.91  
% 1.24/0.91  % (28194)Memory used [KB]: 1581
% 1.24/0.91  % (28194)Time elapsed: 0.031 s
% 1.24/0.91  % (28194)Instructions burned: 46 (million)
% 1.24/0.91  % (28194)------------------------------
% 1.24/0.91  % (28194)------------------------------
% 1.24/0.91  % (28202)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 1.24/0.91  % (28171)Instruction limit reached!
% 1.24/0.91  % (28171)------------------------------
% 1.24/0.91  % (28171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.24/0.91  % (28171)Termination reason: Unknown
% 1.24/0.91  % (28171)Termination phase: Saturation
% 1.24/0.91  
% 1.24/0.91  % (28171)Memory used [KB]: 2537
% 1.24/0.91  % (28171)Time elapsed: 0.131 s
% 1.24/0.91  % (28171)Instructions burned: 208 (million)
% 1.24/0.91  % (28171)------------------------------
% 1.24/0.91  % (28171)------------------------------
% 1.24/0.92  % (28203)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 1.24/0.92  % (28203)Refutation not found, incomplete strategy% (28203)------------------------------
% 1.24/0.92  % (28203)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.24/0.92  % (28203)Termination reason: Refutation not found, incomplete strategy
% 1.24/0.92  
% 1.24/0.92  % (28203)Memory used [KB]: 1072
% 1.24/0.92  % (28203)Time elapsed: 0.004 s
% 1.24/0.92  % (28203)Instructions burned: 4 (million)
% 1.24/0.92  % (28199)Instruction limit reached!
% 1.24/0.92  % (28199)------------------------------
% 1.24/0.92  % (28199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.24/0.92  % (28203)------------------------------
% 1.24/0.92  % (28203)------------------------------
% 1.24/0.92  % (28199)Termination reason: Unknown
% 1.24/0.92  % (28199)Termination phase: Saturation
% 1.24/0.92  
% 1.24/0.92  % (28199)Memory used [KB]: 1250
% 1.24/0.92  % (28199)Time elapsed: 0.021 s
% 1.24/0.92  % (28199)Instructions burned: 35 (million)
% 1.24/0.92  % (28199)------------------------------
% 1.24/0.92  % (28199)------------------------------
% 1.24/0.92  % (28190)First to succeed.
% 1.24/0.92  % (28205)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2994ds/40Mi)
% 1.24/0.92  % (28204)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 1.24/0.92  % (28190)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28144"
% 1.24/0.93  % (28190)Refutation found. Thanks to Tanya!
% 1.24/0.93  % SZS status Theorem for Vampire---4
% 1.24/0.93  % SZS output start Proof for Vampire---4
% See solution above
% 1.24/0.93  % (28190)------------------------------
% 1.24/0.93  % (28190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.24/0.93  % (28190)Termination reason: Refutation
% 1.24/0.93  
% 1.24/0.93  % (28190)Memory used [KB]: 1724
% 1.24/0.93  % (28190)Time elapsed: 0.061 s
% 1.24/0.93  % (28190)Instructions burned: 105 (million)
% 1.24/0.93  % (28144)Success in time 0.545 s
% 1.24/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------