TSTP Solution File: NUM475+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM475+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 : n013.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 : Wed May  1 03:31:26 EDT 2024

% Result   : Theorem 0.60s 0.84s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  128 (  32 unt;   0 def)
%            Number of atoms       :  423 ( 108 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  516 ( 221   ~; 230   |;  38   &)
%                                         (  17 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :  110 ( 104   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f751,plain,
    $false,
    inference(avatar_sat_refutation,[],[f223,f312,f334,f343,f344,f352,f365,f400,f750]) ).

fof(f750,plain,
    ( ~ spl2_19
    | ~ spl2_26 ),
    inference(avatar_contradiction_clause,[],[f749]) ).

fof(f749,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_26 ),
    inference(subsumption_resolution,[],[f748,f114]) ).

fof(f114,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xl) ),
    file('/export/starexec/sandbox2/tmp/tmp.7HqNGVKHv4/Vampire---4.8_32436',m__1324) ).

fof(f748,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ spl2_19
    | ~ spl2_26 ),
    inference(subsumption_resolution,[],[f737,f579]) ).

fof(f579,plain,
    ( xn != sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn),sdtasdt0(xl,sdtsldt0(xm,xl)))
    | ~ spl2_26 ),
    inference(superposition,[],[f195,f342]) ).

fof(f342,plain,
    ( sdtasdt0(xl,sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl))) = sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn),sdtasdt0(xl,sdtsldt0(xm,xl)))
    | ~ spl2_26 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f340,plain,
    ( spl2_26
  <=> sdtasdt0(xl,sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl))) = sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn),sdtasdt0(xl,sdtsldt0(xm,xl))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).

fof(f195,plain,
    xn != sdtasdt0(xl,sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl))),
    inference(forward_demodulation,[],[f123,f192]) ).

fof(f192,plain,
    xr = sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl)),
    inference(forward_demodulation,[],[f191,f119]) ).

fof(f119,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.7HqNGVKHv4/Vampire---4.8_32436',m__1379) ).

fof(f191,plain,
    xr = sdtmndt0(xq,sdtsldt0(xm,xl)),
    inference(forward_demodulation,[],[f121,f118]) ).

fof(f118,plain,
    xp = sdtsldt0(xm,xl),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    xp = sdtsldt0(xm,xl),
    file('/export/starexec/sandbox2/tmp/tmp.7HqNGVKHv4/Vampire---4.8_32436',m__1360) ).

fof(f121,plain,
    xr = sdtmndt0(xq,xp),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    xr = sdtmndt0(xq,xp),
    file('/export/starexec/sandbox2/tmp/tmp.7HqNGVKHv4/Vampire---4.8_32436',m__1422) ).

fof(f123,plain,
    xn != sdtasdt0(xl,xr),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    xn != sdtasdt0(xl,xr),
    inference(flattening,[],[f43]) ).

fof(f43,negated_conjecture,
    xn != sdtasdt0(xl,xr),
    inference(negated_conjecture,[],[f42]) ).

fof(f42,conjecture,
    xn = sdtasdt0(xl,xr),
    file('/export/starexec/sandbox2/tmp/tmp.7HqNGVKHv4/Vampire---4.8_32436',m__) ).

fof(f737,plain,
    ( xn = sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn),sdtasdt0(xl,sdtsldt0(xm,xl)))
    | ~ aNaturalNumber0(xn)
    | ~ spl2_19
    | ~ spl2_26 ),
    inference(equality_resolution,[],[f509]) ).

fof(f509,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn) != sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0)
        | sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn),sdtasdt0(xl,sdtsldt0(xm,xl))) = X0
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_19
    | ~ spl2_26 ),
    inference(forward_demodulation,[],[f310,f342]) ).

fof(f310,plain,
    ( ! [X0] :
        ( sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn) != sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(xl,sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl))) = X0 )
    | ~ spl2_19 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f309,plain,
    ( spl2_19
  <=> ! [X0] :
        ( sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn) != sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(xl,sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl))) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).

fof(f400,plain,
    ( ~ spl2_1
    | ~ spl2_2
    | spl2_6 ),
    inference(avatar_contradiction_clause,[],[f399]) ).

fof(f399,plain,
    ( $false
    | ~ spl2_1
    | ~ spl2_2
    | spl2_6 ),
    inference(subsumption_resolution,[],[f398,f203]) ).

fof(f203,plain,
    ( aNaturalNumber0(sdtsldt0(xm,xl))
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f202,plain,
    ( spl2_2
  <=> aNaturalNumber0(sdtsldt0(xm,xl)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f398,plain,
    ( ~ aNaturalNumber0(sdtsldt0(xm,xl))
    | ~ spl2_1
    | spl2_6 ),
    inference(subsumption_resolution,[],[f397,f199]) ).

fof(f199,plain,
    ( aNaturalNumber0(sdtsldt0(sdtpldt0(xm,xn),xl))
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f198,plain,
    ( spl2_1
  <=> aNaturalNumber0(sdtsldt0(sdtpldt0(xm,xn),xl)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f397,plain,
    ( ~ aNaturalNumber0(sdtsldt0(sdtpldt0(xm,xn),xl))
    | ~ aNaturalNumber0(sdtsldt0(xm,xl))
    | spl2_6 ),
    inference(subsumption_resolution,[],[f395,f190]) ).

fof(f190,plain,
    sdtlseqdt0(sdtsldt0(xm,xl),sdtsldt0(sdtpldt0(xm,xn),xl)),
    inference(forward_demodulation,[],[f189,f118]) ).

fof(f189,plain,
    sdtlseqdt0(xp,sdtsldt0(sdtpldt0(xm,xn),xl)),
    inference(forward_demodulation,[],[f120,f119]) ).

fof(f120,plain,
    sdtlseqdt0(xp,xq),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    sdtlseqdt0(xp,xq),
    file('/export/starexec/sandbox2/tmp/tmp.7HqNGVKHv4/Vampire---4.8_32436',m__1395) ).

fof(f395,plain,
    ( ~ sdtlseqdt0(sdtsldt0(xm,xl),sdtsldt0(sdtpldt0(xm,xn),xl))
    | ~ aNaturalNumber0(sdtsldt0(sdtpldt0(xm,xn),xl))
    | ~ aNaturalNumber0(sdtsldt0(xm,xl))
    | spl2_6 ),
    inference(resolution,[],[f372,f180]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtmndt0(X1,X0))
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f129]) ).

fof(f129,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtmndt0(X1,X0) != X2
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,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,[],[f100]) ).

fof(f100,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,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f52]) ).

fof(f52,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.7HqNGVKHv4/Vampire---4.8_32436',mDefDiff) ).

fof(f372,plain,
    ( ~ aNaturalNumber0(sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl)))
    | spl2_6 ),
    inference(subsumption_resolution,[],[f371,f112]) ).

fof(f112,plain,
    aNaturalNumber0(xl),
    inference(cnf_transformation,[],[f34]) ).

fof(f371,plain,
    ( ~ aNaturalNumber0(sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl)))
    | ~ aNaturalNumber0(xl)
    | spl2_6 ),
    inference(resolution,[],[f257,f177]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,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.7HqNGVKHv4/Vampire---4.8_32436',mSortsB_02) ).

fof(f257,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xl,sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl))))
    | spl2_6 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f255,plain,
    ( spl2_6
  <=> aNaturalNumber0(sdtasdt0(xl,sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f365,plain,
    spl2_5,
    inference(avatar_contradiction_clause,[],[f364]) ).

fof(f364,plain,
    ( $false
    | spl2_5 ),
    inference(subsumption_resolution,[],[f363,f112]) ).

fof(f363,plain,
    ( ~ aNaturalNumber0(xl)
    | spl2_5 ),
    inference(subsumption_resolution,[],[f362,f117]) ).

fof(f117,plain,
    sz00 != xl,
    inference(cnf_transformation,[],[f36]) ).

fof(f36,axiom,
    sz00 != xl,
    file('/export/starexec/sandbox2/tmp/tmp.7HqNGVKHv4/Vampire---4.8_32436',m__1347) ).

fof(f362,plain,
    ( sz00 = xl
    | ~ aNaturalNumber0(xl)
    | spl2_5 ),
    inference(subsumption_resolution,[],[f361,f115]) ).

fof(f115,plain,
    doDivides0(xl,xm),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    ( doDivides0(xl,sdtpldt0(xm,xn))
    & doDivides0(xl,xm) ),
    file('/export/starexec/sandbox2/tmp/tmp.7HqNGVKHv4/Vampire---4.8_32436',m__1324_04) ).

fof(f361,plain,
    ( ~ doDivides0(xl,xm)
    | sz00 = xl
    | ~ aNaturalNumber0(xl)
    | spl2_5 ),
    inference(subsumption_resolution,[],[f356,f113]) ).

fof(f113,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f34]) ).

fof(f356,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ doDivides0(xl,xm)
    | sz00 = xl
    | ~ aNaturalNumber0(xl)
    | spl2_5 ),
    inference(duplicate_literal_removal,[],[f355]) ).

fof(f355,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ doDivides0(xl,xm)
    | sz00 = xl
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xl)
    | spl2_5 ),
    inference(superposition,[],[f253,f183]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f148]) ).

fof(f148,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,X2) = X1
      | sdtsldt0(X1,X0) != X2
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,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,[],[f106]) ).

fof(f106,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,[],[f72]) ).

fof(f72,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,[],[f71]) ).

fof(f71,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.7HqNGVKHv4/Vampire---4.8_32436',mDefQuot) ).

fof(f253,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl)))
    | spl2_5 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl2_5
  <=> aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f352,plain,
    spl2_2,
    inference(avatar_contradiction_clause,[],[f351]) ).

fof(f351,plain,
    ( $false
    | spl2_2 ),
    inference(subsumption_resolution,[],[f350,f112]) ).

fof(f350,plain,
    ( ~ aNaturalNumber0(xl)
    | spl2_2 ),
    inference(subsumption_resolution,[],[f349,f113]) ).

fof(f349,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xl)
    | spl2_2 ),
    inference(subsumption_resolution,[],[f348,f117]) ).

fof(f348,plain,
    ( sz00 = xl
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xl)
    | spl2_2 ),
    inference(subsumption_resolution,[],[f346,f115]) ).

fof(f346,plain,
    ( ~ doDivides0(xl,xm)
    | sz00 = xl
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xl)
    | spl2_2 ),
    inference(resolution,[],[f204,f184]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtsldt0(X1,X0))
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f147]) ).

fof(f147,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtsldt0(X1,X0) != X2
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f204,plain,
    ( ~ aNaturalNumber0(sdtsldt0(xm,xl))
    | spl2_2 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f344,plain,
    ( ~ spl2_5
    | ~ spl2_24
    | ~ spl2_6
    | spl2_25 ),
    inference(avatar_split_clause,[],[f245,f336,f255,f331,f251]) ).

fof(f331,plain,
    ( spl2_24
  <=> aNaturalNumber0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).

fof(f336,plain,
    ( spl2_25
  <=> sdtlseqdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).

fof(f245,plain,
    ( sdtlseqdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn))
    | ~ aNaturalNumber0(sdtasdt0(xl,sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl))))
    | ~ aNaturalNumber0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn))
    | ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl))) ),
    inference(superposition,[],[f181,f194]) ).

fof(f194,plain,
    sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn) = sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl)))),
    inference(forward_demodulation,[],[f193,f192]) ).

fof(f193,plain,
    sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn),
    inference(forward_demodulation,[],[f122,f118]) ).

fof(f122,plain,
    sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
    file('/export/starexec/sandbox2/tmp/tmp.7HqNGVKHv4/Vampire---4.8_32436',m__1459) ).

fof(f181,plain,
    ! [X2,X0] :
      ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f134]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ( sdtpldt0(X0,sK0(X0,X1)) = X1
            & aNaturalNumber0(sK0(X0,X1)) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f103,f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtpldt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtpldt0(X0,sK0(X0,X1)) = X1
        & aNaturalNumber0(sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f103,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,[],[f102]) ).

fof(f102,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,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f54]) ).

fof(f54,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.7HqNGVKHv4/Vampire---4.8_32436',mDefLE) ).

fof(f343,plain,
    ( ~ spl2_5
    | ~ spl2_24
    | ~ spl2_25
    | ~ spl2_6
    | spl2_26 ),
    inference(avatar_split_clause,[],[f244,f340,f255,f336,f331,f251]) ).

fof(f244,plain,
    ( sdtasdt0(xl,sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl))) = sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn),sdtasdt0(xl,sdtsldt0(xm,xl)))
    | ~ aNaturalNumber0(sdtasdt0(xl,sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl))))
    | ~ sdtlseqdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn))
    | ~ aNaturalNumber0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn))
    | ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl))) ),
    inference(superposition,[],[f178,f194]) ).

fof(f178,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,[],[f131]) ).

fof(f131,plain,
    ! [X2,X0,X1] :
      ( sdtmndt0(X1,X0) = X2
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f334,plain,
    ( ~ spl2_5
    | ~ spl2_6
    | spl2_24 ),
    inference(avatar_split_clause,[],[f243,f331,f255,f251]) ).

fof(f243,plain,
    ( aNaturalNumber0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn))
    | ~ aNaturalNumber0(sdtasdt0(xl,sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl))))
    | ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl))) ),
    inference(superposition,[],[f145,f194]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f67]) ).

fof(f67,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.7HqNGVKHv4/Vampire---4.8_32436',mSortsB) ).

fof(f312,plain,
    ( ~ spl2_5
    | ~ spl2_6
    | spl2_19 ),
    inference(avatar_split_clause,[],[f237,f309,f255,f251]) ).

fof(f237,plain,
    ! [X0] :
      ( sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn) != sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0)
      | sdtasdt0(xl,sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl))) = X0
      | ~ aNaturalNumber0(sdtasdt0(xl,sdtmndt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl))))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl))) ),
    inference(superposition,[],[f137,f194]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
      | X1 = X2
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,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,[],[f58]) ).

fof(f58,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.7HqNGVKHv4/Vampire---4.8_32436',mAddCanc) ).

fof(f223,plain,
    spl2_1,
    inference(avatar_contradiction_clause,[],[f222]) ).

fof(f222,plain,
    ( $false
    | spl2_1 ),
    inference(subsumption_resolution,[],[f221,f113]) ).

fof(f221,plain,
    ( ~ aNaturalNumber0(xm)
    | spl2_1 ),
    inference(subsumption_resolution,[],[f219,f114]) ).

fof(f219,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | spl2_1 ),
    inference(resolution,[],[f217,f145]) ).

fof(f217,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | spl2_1 ),
    inference(subsumption_resolution,[],[f216,f112]) ).

fof(f216,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(xl)
    | spl2_1 ),
    inference(subsumption_resolution,[],[f215,f117]) ).

fof(f215,plain,
    ( sz00 = xl
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(xl)
    | spl2_1 ),
    inference(subsumption_resolution,[],[f214,f116]) ).

fof(f116,plain,
    doDivides0(xl,sdtpldt0(xm,xn)),
    inference(cnf_transformation,[],[f35]) ).

fof(f214,plain,
    ( ~ doDivides0(xl,sdtpldt0(xm,xn))
    | sz00 = xl
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(xl)
    | spl2_1 ),
    inference(resolution,[],[f200,f184]) ).

fof(f200,plain,
    ( ~ aNaturalNumber0(sdtsldt0(sdtpldt0(xm,xn),xl))
    | spl2_1 ),
    inference(avatar_component_clause,[],[f198]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : NUM475+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % 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
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 16:44:34 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  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.7HqNGVKHv4/Vampire---4.8_32436
% 0.60/0.77  % (32665)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.77  % (32663)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)
% 0.60/0.77  % (32668)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)
% 0.60/0.77  % (32664)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)
% 0.60/0.77  % (32669)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)
% 0.60/0.77  % (32666)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)
% 0.60/0.77  % (32667)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)
% 0.60/0.78  % (32670)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)
% 0.60/0.80  % (32666)Instruction limit reached!
% 0.60/0.80  % (32666)------------------------------
% 0.60/0.80  % (32666)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (32666)Termination reason: Unknown
% 0.60/0.80  % (32666)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (32666)Memory used [KB]: 1448
% 0.60/0.80  % (32666)Time elapsed: 0.056 s
% 0.60/0.80  % (32666)Instructions burned: 33 (million)
% 0.60/0.80  % (32666)------------------------------
% 0.60/0.80  % (32666)------------------------------
% 0.60/0.80  % (32667)Instruction limit reached!
% 0.60/0.80  % (32667)------------------------------
% 0.60/0.80  % (32667)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (32667)Termination reason: Unknown
% 0.60/0.80  % (32667)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (32667)Memory used [KB]: 1439
% 0.60/0.80  % (32667)Time elapsed: 0.057 s
% 0.60/0.80  % (32667)Instructions burned: 34 (million)
% 0.60/0.80  % (32667)------------------------------
% 0.60/0.80  % (32667)------------------------------
% 0.60/0.81  % (32663)Instruction limit reached!
% 0.60/0.81  % (32663)------------------------------
% 0.60/0.81  % (32663)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (32663)Termination reason: Unknown
% 0.60/0.81  % (32663)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (32663)Memory used [KB]: 1349
% 0.60/0.81  % (32663)Time elapsed: 0.059 s
% 0.60/0.81  % (32663)Instructions burned: 34 (million)
% 0.60/0.81  % (32663)------------------------------
% 0.60/0.81  % (32663)------------------------------
% 0.60/0.81  % (32679)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 (2995ds/55Mi)
% 0.60/0.81  % (32680)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)
% 0.60/0.81  % (32665)Instruction limit reached!
% 0.60/0.81  % (32665)------------------------------
% 0.60/0.81  % (32665)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (32665)Termination reason: Unknown
% 0.60/0.81  % (32665)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (32665)Memory used [KB]: 1674
% 0.60/0.81  % (32665)Time elapsed: 0.065 s
% 0.60/0.81  % (32665)Instructions burned: 78 (million)
% 0.60/0.81  % (32665)------------------------------
% 0.60/0.81  % (32665)------------------------------
% 0.60/0.81  % (32670)Instruction limit reached!
% 0.60/0.81  % (32670)------------------------------
% 0.60/0.81  % (32670)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (32670)Termination reason: Unknown
% 0.60/0.81  % (32670)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (32670)Memory used [KB]: 1532
% 0.60/0.81  % (32670)Time elapsed: 0.062 s
% 0.60/0.81  % (32670)Instructions burned: 57 (million)
% 0.60/0.81  % (32670)------------------------------
% 0.60/0.81  % (32670)------------------------------
% 0.60/0.81  % (32681)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)
% 0.60/0.81  % (32682)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)
% 0.60/0.82  % (32683)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)
% 0.60/0.82  % (32668)Instruction limit reached!
% 0.60/0.82  % (32668)------------------------------
% 0.60/0.82  % (32668)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (32668)Termination reason: Unknown
% 0.60/0.82  % (32668)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (32668)Memory used [KB]: 1535
% 0.60/0.82  % (32668)Time elapsed: 0.071 s
% 0.60/0.82  % (32668)Instructions burned: 45 (million)
% 0.60/0.82  % (32668)------------------------------
% 0.60/0.82  % (32668)------------------------------
% 0.60/0.82  % (32684)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)
% 0.60/0.83  % (32664)Instruction limit reached!
% 0.60/0.83  % (32664)------------------------------
% 0.60/0.83  % (32664)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (32664)Termination reason: Unknown
% 0.60/0.83  % (32664)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (32664)Memory used [KB]: 1886
% 0.60/0.83  % (32664)Time elapsed: 0.081 s
% 0.60/0.83  % (32664)Instructions burned: 51 (million)
% 0.60/0.83  % (32664)------------------------------
% 0.60/0.83  % (32664)------------------------------
% 0.60/0.83  % (32684)Refutation not found, incomplete strategy% (32684)------------------------------
% 0.60/0.83  % (32684)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (32684)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (32684)Memory used [KB]: 1082
% 0.60/0.83  % (32684)Time elapsed: 0.007 s
% 0.60/0.83  % (32684)Instructions burned: 5 (million)
% 0.60/0.83  % (32684)------------------------------
% 0.60/0.83  % (32684)------------------------------
% 0.60/0.83  % (32685)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)
% 0.60/0.84  % (32687)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)
% 0.60/0.84  % (32683)First to succeed.
% 0.60/0.84  % (32669)Instruction limit reached!
% 0.60/0.84  % (32669)------------------------------
% 0.60/0.84  % (32669)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.84  % (32669)Termination reason: Unknown
% 0.60/0.84  % (32669)Termination phase: Saturation
% 0.60/0.84  
% 0.60/0.84  % (32669)Memory used [KB]: 1842
% 0.60/0.84  % (32669)Time elapsed: 0.093 s
% 0.60/0.84  % (32669)Instructions burned: 83 (million)
% 0.60/0.84  % (32669)------------------------------
% 0.60/0.84  % (32669)------------------------------
% 0.60/0.84  % (32683)Refutation found. Thanks to Tanya!
% 0.60/0.84  % SZS status Theorem for Vampire---4
% 0.60/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.85  % (32683)------------------------------
% 0.60/0.85  % (32683)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.85  % (32683)Termination reason: Refutation
% 0.60/0.85  
% 0.60/0.85  % (32683)Memory used [KB]: 1474
% 0.60/0.85  % (32683)Time elapsed: 0.029 s
% 0.60/0.85  % (32683)Instructions burned: 51 (million)
% 0.60/0.85  % (32683)------------------------------
% 0.60/0.85  % (32683)------------------------------
% 0.60/0.85  % (32645)Success in time 0.475 s
% 0.60/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------