TSTP Solution File: NUM473+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM473+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 17:59:50 EDT 2022

% Result   : Theorem 2.11s 0.68s
% Output   : Refutation 2.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  123 (  22 unt;   0 def)
%            Number of atoms       :  450 ( 134 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  554 ( 227   ~; 249   |;  49   &)
%                                         (  10 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   8 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   95 (  95   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1382,plain,
    $false,
    inference(avatar_sat_refutation,[],[f200,f219,f232,f244,f258,f1260,f1261,f1380]) ).

fof(f1380,plain,
    ( ~ spl2_2
    | ~ spl2_26 ),
    inference(avatar_contradiction_clause,[],[f1379]) ).

fof(f1379,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_26 ),
    inference(subsumption_resolution,[],[f1372,f1373]) ).

fof(f1373,plain,
    ( sdtlseqdt0(xp,xp)
    | ~ spl2_2
    | ~ spl2_26 ),
    inference(superposition,[],[f195,f1233]) ).

fof(f1233,plain,
    ( xp = xq
    | ~ spl2_26 ),
    inference(avatar_component_clause,[],[f1231]) ).

fof(f1231,plain,
    ( spl2_26
  <=> xp = xq ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).

fof(f195,plain,
    ( sdtlseqdt0(xq,xp)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f193,plain,
    ( spl2_2
  <=> sdtlseqdt0(xq,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f1372,plain,
    ( ~ sdtlseqdt0(xp,xp)
    | ~ spl2_26 ),
    inference(superposition,[],[f165,f1233]) ).

fof(f165,plain,
    ~ sdtlseqdt0(xp,xq),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ~ sdtlseqdt0(xp,xq),
    inference(flattening,[],[f41]) ).

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

fof(f40,conjecture,
    sdtlseqdt0(xp,xq),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f1261,plain,
    ( spl2_6
    | spl2_26
    | ~ spl2_2
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f1225,f212,f193,f1231,f216]) ).

fof(f216,plain,
    ( spl2_6
  <=> sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f212,plain,
    ( spl2_5
  <=> aNaturalNumber0(sdtpldt0(xm,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f1225,plain,
    ( xp = xq
    | sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | ~ spl2_2
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f1195,f195]) ).

fof(f1195,plain,
    ( ~ sdtlseqdt0(xq,xp)
    | sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | xp = xq
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f1173,f259]) ).

fof(f259,plain,
    ( aNaturalNumber0(xq)
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f255,f213]) ).

fof(f213,plain,
    ( aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f255,plain,
    ( aNaturalNumber0(xq)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(subsumption_resolution,[],[f254,f155]) ).

fof(f155,plain,
    doDivides0(xl,sdtpldt0(xm,xn)),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    ( doDivides0(xl,xm)
    & doDivides0(xl,sdtpldt0(xm,xn)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).

fof(f254,plain,
    ( ~ doDivides0(xl,sdtpldt0(xm,xn))
    | aNaturalNumber0(xq)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(subsumption_resolution,[],[f253,f130]) ).

fof(f130,plain,
    aNaturalNumber0(xl),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xl) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).

fof(f253,plain,
    ( ~ aNaturalNumber0(xl)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ doDivides0(xl,sdtpldt0(xm,xn))
    | aNaturalNumber0(xq) ),
    inference(subsumption_resolution,[],[f247,f139]) ).

fof(f139,plain,
    sz00 != xl,
    inference(cnf_transformation,[],[f36]) ).

fof(f36,axiom,
    sz00 != xl,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1347) ).

fof(f247,plain,
    ( sz00 = xl
    | aNaturalNumber0(xq)
    | ~ aNaturalNumber0(xl)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | ~ doDivides0(xl,sdtpldt0(xm,xn)) ),
    inference(superposition,[],[f184,f138]) ).

fof(f138,plain,
    xq = sdtsldt0(sdtpldt0(xm,xn),xl),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    xq = sdtsldt0(sdtpldt0(xm,xn),xl),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1379) ).

fof(f184,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtsldt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ doDivides0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | sz00 = X1 ),
    inference(equality_resolution,[],[f171]) ).

fof(f171,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtsldt0(X0,X1) != X2
      | sz00 = X1
      | ~ aNaturalNumber0(X1)
      | ~ doDivides0(X1,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtsldt0(X0,X1) = X2
            | sdtasdt0(X1,X2) != X0
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X1,X2) = X0
              & aNaturalNumber0(X2) )
            | sdtsldt0(X0,X1) != X2 ) )
      | sz00 = X1
      | ~ aNaturalNumber0(X1)
      | ~ doDivides0(X1,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f122]) ).

fof(f122,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ( sdtsldt0(X1,X0) = X2
            | sdtasdt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f121]) ).

fof(f121,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ( sdtsldt0(X1,X0) = X2
            | sdtasdt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( sdtsldt0(X1,X0) = X2
        <=> ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( sdtsldt0(X1,X0) = X2
        <=> ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | sz00 = X0
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( ( sz00 != X0
          & doDivides0(X0,X1) )
       => ! [X2] :
            ( sdtsldt0(X1,X0) = X2
          <=> ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).

fof(f1173,plain,
    ( xp = xq
    | ~ aNaturalNumber0(xq)
    | ~ sdtlseqdt0(xq,xp)
    | sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | ~ spl2_5 ),
    inference(superposition,[],[f315,f252]) ).

fof(f252,plain,
    ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f251,f139]) ).

fof(f251,plain,
    ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
    | sz00 = xl
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f250,f213]) ).

fof(f250,plain,
    ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | sz00 = xl ),
    inference(subsumption_resolution,[],[f249,f155]) ).

fof(f249,plain,
    ( ~ doDivides0(xl,sdtpldt0(xm,xn))
    | sz00 = xl
    | sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(subsumption_resolution,[],[f248,f130]) ).

fof(f248,plain,
    ( ~ aNaturalNumber0(xl)
    | ~ doDivides0(xl,sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
    | sz00 = xl ),
    inference(superposition,[],[f183,f138]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( sdtasdt0(X1,sdtsldt0(X0,X1)) = X0
      | ~ aNaturalNumber0(X0)
      | sz00 = X1
      | ~ aNaturalNumber0(X1)
      | ~ doDivides0(X1,X0) ),
    inference(equality_resolution,[],[f172]) ).

fof(f172,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X1,X2) = X0
      | sdtsldt0(X0,X1) != X2
      | sz00 = X1
      | ~ aNaturalNumber0(X1)
      | ~ doDivides0(X1,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f315,plain,
    ! [X13] :
      ( sdtlseqdt0(sdtasdt0(xl,X13),xm)
      | ~ sdtlseqdt0(X13,xp)
      | xp = X13
      | ~ aNaturalNumber0(X13) ),
    inference(subsumption_resolution,[],[f314,f130]) ).

fof(f314,plain,
    ! [X13] :
      ( xp = X13
      | sdtlseqdt0(sdtasdt0(xl,X13),xm)
      | ~ sdtlseqdt0(X13,xp)
      | ~ aNaturalNumber0(X13)
      | ~ aNaturalNumber0(xl) ),
    inference(subsumption_resolution,[],[f313,f239]) ).

fof(f239,plain,
    aNaturalNumber0(xp),
    inference(subsumption_resolution,[],[f238,f156]) ).

fof(f156,plain,
    doDivides0(xl,xm),
    inference(cnf_transformation,[],[f35]) ).

fof(f238,plain,
    ( ~ doDivides0(xl,xm)
    | aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f237,f139]) ).

fof(f237,plain,
    ( aNaturalNumber0(xp)
    | sz00 = xl
    | ~ doDivides0(xl,xm) ),
    inference(subsumption_resolution,[],[f227,f131]) ).

fof(f131,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f34]) ).

fof(f227,plain,
    ( ~ aNaturalNumber0(xm)
    | sz00 = xl
    | aNaturalNumber0(xp)
    | ~ doDivides0(xl,xm) ),
    inference(subsumption_resolution,[],[f225,f130]) ).

fof(f225,plain,
    ( ~ aNaturalNumber0(xl)
    | aNaturalNumber0(xp)
    | ~ doDivides0(xl,xm)
    | sz00 = xl
    | ~ aNaturalNumber0(xm) ),
    inference(superposition,[],[f184,f153]) ).

fof(f153,plain,
    xp = sdtsldt0(xm,xl),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    xp = sdtsldt0(xm,xl),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).

fof(f313,plain,
    ! [X13] :
      ( ~ aNaturalNumber0(X13)
      | xp = X13
      | sdtlseqdt0(sdtasdt0(xl,X13),xm)
      | ~ aNaturalNumber0(xp)
      | ~ aNaturalNumber0(xl)
      | ~ sdtlseqdt0(X13,xp) ),
    inference(subsumption_resolution,[],[f280,f139]) ).

fof(f280,plain,
    ! [X13] :
      ( sdtlseqdt0(sdtasdt0(xl,X13),xm)
      | xp = X13
      | ~ sdtlseqdt0(X13,xp)
      | ~ aNaturalNumber0(X13)
      | sz00 = xl
      | ~ aNaturalNumber0(xp)
      | ~ aNaturalNumber0(xl) ),
    inference(superposition,[],[f161,f236]) ).

fof(f236,plain,
    xm = sdtasdt0(xl,xp),
    inference(subsumption_resolution,[],[f235,f156]) ).

fof(f235,plain,
    ( xm = sdtasdt0(xl,xp)
    | ~ doDivides0(xl,xm) ),
    inference(subsumption_resolution,[],[f234,f130]) ).

fof(f234,plain,
    ( ~ aNaturalNumber0(xl)
    | ~ doDivides0(xl,xm)
    | xm = sdtasdt0(xl,xp) ),
    inference(subsumption_resolution,[],[f233,f139]) ).

fof(f233,plain,
    ( sz00 = xl
    | ~ doDivides0(xl,xm)
    | ~ aNaturalNumber0(xl)
    | xm = sdtasdt0(xl,xp) ),
    inference(subsumption_resolution,[],[f226,f131]) ).

fof(f226,plain,
    ( xm = sdtasdt0(xl,xp)
    | ~ aNaturalNumber0(xm)
    | sz00 = xl
    | ~ doDivides0(xl,xm)
    | ~ aNaturalNumber0(xl) ),
    inference(superposition,[],[f183,f153]) ).

fof(f161,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ sdtlseqdt0(X1,X2)
      | ~ aNaturalNumber0(X2)
      | X1 = X2
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ aNaturalNumber0(X0)
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
        & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
      | ~ aNaturalNumber0(X1)
      | ~ sdtlseqdt0(X1,X2) ),
    inference(rectify,[],[f71]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | ~ aNaturalNumber0(X2)
      | sz00 = X2
      | ~ aNaturalNumber0(X1)
      | ( sdtasdt0(X2,X0) != sdtasdt0(X2,X1)
        & sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))
        & sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X1,X2) != sdtasdt0(X0,X2) )
      | ~ aNaturalNumber0(X0)
      | ~ sdtlseqdt0(X0,X1) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( ( sdtasdt0(X2,X0) != sdtasdt0(X2,X1)
        & sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))
        & sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X1,X2) != sdtasdt0(X0,X2) )
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | sz00 = X2
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X2) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0)
        & aNaturalNumber0(X2) )
     => ( ( sdtlseqdt0(X0,X1)
          & X0 != X1
          & sz00 != X2 )
       => ( sdtasdt0(X2,X0) != sdtasdt0(X2,X1)
          & sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))
          & sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
          & sdtasdt0(X1,X2) != sdtasdt0(X0,X2) ) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X1,X2,X0] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sz00 != X0
          & X1 != X2
          & sdtlseqdt0(X1,X2) )
       => ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
          & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
          & sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
          & sdtasdt0(X1,X0) != sdtasdt0(X2,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).

fof(f1260,plain,
    ( ~ spl2_4
    | spl2_26
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f693,f212,f1231,f208]) ).

fof(f208,plain,
    ( spl2_4
  <=> xm = sdtpldt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f693,plain,
    ( xp = xq
    | xm != sdtpldt0(xm,xn)
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f683,f259]) ).

fof(f683,plain,
    ( ~ aNaturalNumber0(xq)
    | xm != sdtpldt0(xm,xn)
    | xp = xq
    | ~ spl2_5 ),
    inference(superposition,[],[f312,f252]) ).

fof(f312,plain,
    ! [X0] :
      ( xm != sdtasdt0(xl,X0)
      | ~ aNaturalNumber0(X0)
      | xp = X0 ),
    inference(subsumption_resolution,[],[f311,f130]) ).

fof(f311,plain,
    ! [X0] :
      ( xp = X0
      | ~ aNaturalNumber0(xl)
      | xm != sdtasdt0(xl,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f310,f239]) ).

fof(f310,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | xm != sdtasdt0(xl,X0)
      | ~ aNaturalNumber0(xp)
      | xp = X0
      | ~ aNaturalNumber0(xl) ),
    inference(subsumption_resolution,[],[f265,f139]) ).

fof(f265,plain,
    ! [X0] :
      ( sz00 = xl
      | ~ aNaturalNumber0(xl)
      | ~ aNaturalNumber0(X0)
      | xp = X0
      | ~ aNaturalNumber0(xp)
      | xm != sdtasdt0(xl,X0) ),
    inference(superposition,[],[f127,f236]) ).

fof(f127,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sz00 = X0
      | ! [X1,X2] :
          ( ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1)
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | X1 = X2 ) ),
    inference(flattening,[],[f91]) ).

fof(f91,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X1)
          | ~ aNaturalNumber0(X2) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 != X0
       => ! [X2,X1] :
            ( ( aNaturalNumber0(X1)
              & aNaturalNumber0(X2) )
           => ( ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
                | sdtasdt0(X1,X0) = sdtasdt0(X2,X0) )
             => X1 = X2 ) ) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 != X0
       => ! [X2,X1] :
            ( ( aNaturalNumber0(X1)
              & aNaturalNumber0(X2) )
           => ( ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
                | sdtasdt0(X1,X0) = sdtasdt0(X2,X0) )
             => X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).

fof(f258,plain,
    ( spl2_3
    | ~ spl2_5 ),
    inference(avatar_contradiction_clause,[],[f257]) ).

fof(f257,plain,
    ( $false
    | spl2_3
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f256,f213]) ).

fof(f256,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | spl2_3 ),
    inference(subsumption_resolution,[],[f255,f199]) ).

fof(f199,plain,
    ( ~ aNaturalNumber0(xq)
    | spl2_3 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f197,plain,
    ( spl2_3
  <=> aNaturalNumber0(xq) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f244,plain,
    spl2_5,
    inference(avatar_contradiction_clause,[],[f243]) ).

fof(f243,plain,
    ( $false
    | spl2_5 ),
    inference(subsumption_resolution,[],[f242,f131]) ).

fof(f242,plain,
    ( ~ aNaturalNumber0(xm)
    | spl2_5 ),
    inference(subsumption_resolution,[],[f241,f132]) ).

fof(f132,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f34]) ).

fof(f241,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | spl2_5 ),
    inference(resolution,[],[f214,f179]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X1,X0))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | aNaturalNumber0(sdtpldt0(X1,X0)) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [X1,X0] :
      ( aNaturalNumber0(sdtpldt0(X1,X0))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtpldt0(X1,X0)) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).

fof(f214,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | spl2_5 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f232,plain,
    spl2_1,
    inference(avatar_contradiction_clause,[],[f231]) ).

fof(f231,plain,
    ( $false
    | spl2_1 ),
    inference(subsumption_resolution,[],[f230,f156]) ).

fof(f230,plain,
    ( ~ doDivides0(xl,xm)
    | spl2_1 ),
    inference(subsumption_resolution,[],[f229,f139]) ).

fof(f229,plain,
    ( sz00 = xl
    | ~ doDivides0(xl,xm)
    | spl2_1 ),
    inference(subsumption_resolution,[],[f228,f131]) ).

fof(f228,plain,
    ( ~ aNaturalNumber0(xm)
    | sz00 = xl
    | ~ doDivides0(xl,xm)
    | spl2_1 ),
    inference(subsumption_resolution,[],[f227,f191]) ).

fof(f191,plain,
    ( ~ aNaturalNumber0(xp)
    | spl2_1 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f189,plain,
    ( spl2_1
  <=> aNaturalNumber0(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f219,plain,
    ( spl2_4
    | ~ spl2_5
    | ~ spl2_6 ),
    inference(avatar_split_clause,[],[f206,f216,f212,f208]) ).

fof(f206,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | xm = sdtpldt0(xm,xn) ),
    inference(subsumption_resolution,[],[f204,f131]) ).

fof(f204,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | xm = sdtpldt0(xm,xn)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(resolution,[],[f129,f169]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ~ sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ sdtlseqdt0(X0,X1) ),
    inference(flattening,[],[f76]) ).

fof(f76,plain,
    ! [X1,X0] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).

fof(f129,plain,
    sdtlseqdt0(xm,sdtpldt0(xm,xn)),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    sdtlseqdt0(xm,sdtpldt0(xm,xn)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1409) ).

fof(f200,plain,
    ( ~ spl2_1
    | spl2_2
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f187,f197,f193,f189]) ).

fof(f187,plain,
    ( ~ aNaturalNumber0(xq)
    | sdtlseqdt0(xq,xp)
    | ~ aNaturalNumber0(xp) ),
    inference(resolution,[],[f165,f174]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ( X0 != X1
        & sdtlseqdt0(X1,X0) )
      | ~ aNaturalNumber0(X0)
      | sdtlseqdt0(X0,X1) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ! [X1,X0] :
      ( sdtlseqdt0(X0,X1)
      | ( X0 != X1
        & sdtlseqdt0(X1,X0) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( sdtlseqdt0(X0,X1)
        | ( X0 != X1
          & sdtlseqdt0(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : NUM473+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 06:50:28 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (17040)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.48  % (17048)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.48  % (17060)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.49  % (17060)Instruction limit reached!
% 0.19/0.49  % (17060)------------------------------
% 0.19/0.49  % (17060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (17060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (17060)Termination reason: Unknown
% 0.19/0.49  % (17060)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (17060)Memory used [KB]: 6268
% 0.19/0.49  % (17060)Time elapsed: 0.046 s
% 0.19/0.49  % (17060)Instructions burned: 11 (million)
% 0.19/0.49  % (17060)------------------------------
% 0.19/0.49  % (17060)------------------------------
% 0.19/0.49  % (17049)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.50  % (17065)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (17064)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.50  % (17057)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (17046)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51  % (17048)Instruction limit reached!
% 0.19/0.51  % (17048)------------------------------
% 0.19/0.51  % (17048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (17048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (17048)Termination reason: Unknown
% 0.19/0.51  % (17048)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (17048)Memory used [KB]: 6908
% 0.19/0.51  % (17048)Time elapsed: 0.068 s
% 0.19/0.51  % (17048)Instructions burned: 50 (million)
% 0.19/0.51  % (17048)------------------------------
% 0.19/0.51  % (17048)------------------------------
% 0.19/0.51  % (17045)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52  % (17043)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (17063)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52  % (17044)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53  % (17070)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53  % (17067)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (17068)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53  % (17042)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (17042)Instruction limit reached!
% 0.19/0.53  % (17042)------------------------------
% 0.19/0.53  % (17042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (17042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (17042)Termination reason: Unknown
% 0.19/0.53  % (17042)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (17042)Memory used [KB]: 1535
% 0.19/0.53  % (17042)Time elapsed: 0.004 s
% 0.19/0.53  % (17042)Instructions burned: 3 (million)
% 0.19/0.53  % (17042)------------------------------
% 0.19/0.53  % (17042)------------------------------
% 1.41/0.53  % (17062)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.53  % (17069)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.41/0.53  % (17059)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.41/0.53  % (17052)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.41/0.54  % (17041)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.41/0.54  % (17051)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.54  % (17059)Instruction limit reached!
% 1.41/0.54  % (17059)------------------------------
% 1.41/0.54  % (17059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54  % (17055)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.41/0.54  % (17059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54  % (17059)Termination reason: Unknown
% 1.41/0.54  % (17059)Termination phase: Property scanning
% 1.41/0.54  
% 1.41/0.54  % (17059)Memory used [KB]: 1535
% 1.41/0.54  % (17059)Time elapsed: 0.003 s
% 1.41/0.54  % (17059)Instructions burned: 3 (million)
% 1.41/0.54  % (17059)------------------------------
% 1.41/0.54  % (17059)------------------------------
% 1.41/0.54  % (17061)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.41/0.54  % (17055)Instruction limit reached!
% 1.41/0.54  % (17055)------------------------------
% 1.41/0.54  % (17055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54  % (17055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54  % (17055)Termination reason: Unknown
% 1.41/0.54  % (17055)Termination phase: Saturation
% 1.41/0.54  
% 1.41/0.54  % (17055)Memory used [KB]: 6012
% 1.41/0.54  % (17055)Time elapsed: 0.004 s
% 1.41/0.54  % (17055)Instructions burned: 4 (million)
% 1.41/0.54  % (17055)------------------------------
% 1.41/0.54  % (17055)------------------------------
% 1.41/0.54  % (17045)Instruction limit reached!
% 1.41/0.54  % (17045)------------------------------
% 1.41/0.54  % (17045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54  % (17045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54  % (17045)Termination reason: Unknown
% 1.41/0.54  % (17045)Termination phase: Saturation
% 1.41/0.54  
% 1.41/0.54  % (17045)Memory used [KB]: 1663
% 1.41/0.54  % (17045)Time elapsed: 0.149 s
% 1.41/0.54  % (17045)Instructions burned: 16 (million)
% 1.41/0.54  % (17045)------------------------------
% 1.41/0.54  % (17045)------------------------------
% 1.41/0.54  % (17047)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.41/0.54  % (17051)Instruction limit reached!
% 1.41/0.54  % (17051)------------------------------
% 1.41/0.54  % (17051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54  % (17051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54  % (17051)Termination reason: Unknown
% 1.41/0.54  % (17051)Termination phase: Saturation
% 1.41/0.54  
% 1.41/0.54  % (17051)Memory used [KB]: 6012
% 1.41/0.54  % (17051)Time elapsed: 0.149 s
% 1.41/0.54  % (17051)Instructions burned: 7 (million)
% 1.41/0.54  % (17051)------------------------------
% 1.41/0.54  % (17051)------------------------------
% 1.41/0.54  % (17050)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.41/0.55  % (17053)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.55  % (17056)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.55  % (17049)Refutation not found, non-redundant clauses discarded% (17049)------------------------------
% 1.41/0.55  % (17049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55  % (17049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55  % (17049)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.59/0.55  
% 1.59/0.55  % (17049)Memory used [KB]: 6524
% 1.59/0.55  % (17049)Time elapsed: 0.162 s
% 1.59/0.55  % (17049)Instructions burned: 30 (million)
% 1.59/0.55  % (17049)------------------------------
% 1.59/0.55  % (17049)------------------------------
% 1.59/0.55  % (17044)Instruction limit reached!
% 1.59/0.55  % (17044)------------------------------
% 1.59/0.55  % (17044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55  % (17044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55  % (17044)Termination reason: Unknown
% 1.59/0.55  % (17044)Termination phase: Saturation
% 1.59/0.55  
% 1.59/0.55  % (17044)Memory used [KB]: 6140
% 1.59/0.55  % (17044)Time elapsed: 0.130 s
% 1.59/0.55  % (17044)Instructions burned: 13 (million)
% 1.59/0.55  % (17044)------------------------------
% 1.59/0.55  % (17044)------------------------------
% 1.59/0.55  % (17056)Instruction limit reached!
% 1.59/0.55  % (17056)------------------------------
% 1.59/0.55  % (17056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55  % (17056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55  % (17056)Termination reason: Unknown
% 1.59/0.55  % (17056)Termination phase: Saturation
% 1.59/0.55  
% 1.59/0.55  % (17056)Memory used [KB]: 6140
% 1.59/0.55  % (17056)Time elapsed: 0.160 s
% 1.59/0.55  % (17056)Instructions burned: 8 (million)
% 1.59/0.55  % (17056)------------------------------
% 1.59/0.55  % (17056)------------------------------
% 1.59/0.55  % (17058)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.59/0.55  % (17069)Instruction limit reached!
% 1.59/0.55  % (17069)------------------------------
% 1.59/0.55  % (17069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55  % (17069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55  % (17069)Termination reason: Unknown
% 1.59/0.55  % (17069)Termination phase: Saturation
% 1.59/0.55  
% 1.59/0.55  % (17058)Instruction limit reached!
% 1.59/0.55  % (17058)------------------------------
% 1.59/0.55  % (17058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55  % (17069)Memory used [KB]: 6140
% 1.59/0.55  % (17069)Time elapsed: 0.140 s
% 1.59/0.55  % (17069)Instructions burned: 9 (million)
% 1.59/0.55  % (17058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55  % (17069)------------------------------
% 1.59/0.55  % (17069)------------------------------
% 1.59/0.55  % (17058)Termination reason: Unknown
% 1.59/0.55  % (17058)Termination phase: Preprocessing 3
% 1.59/0.55  
% 1.59/0.55  % (17058)Memory used [KB]: 1535
% 1.59/0.55  % (17058)Time elapsed: 0.002 s
% 1.59/0.55  % (17058)Instructions burned: 3 (million)
% 1.59/0.55  % (17058)------------------------------
% 1.59/0.55  % (17058)------------------------------
% 1.59/0.55  % (17066)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.59/0.56  % (17041)Instruction limit reached!
% 1.59/0.56  % (17041)------------------------------
% 1.59/0.56  % (17041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (17052)Instruction limit reached!
% 1.59/0.56  % (17052)------------------------------
% 1.59/0.56  % (17052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (17041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56  % (17041)Termination reason: Unknown
% 1.59/0.56  % (17041)Termination phase: Saturation
% 1.59/0.56  
% 1.59/0.56  % (17041)Memory used [KB]: 6268
% 1.59/0.56  % (17041)Time elapsed: 0.141 s
% 1.59/0.56  % (17041)Instructions burned: 14 (million)
% 1.59/0.56  % (17041)------------------------------
% 1.59/0.56  % (17041)------------------------------
% 1.59/0.57  % (17050)Instruction limit reached!
% 1.59/0.57  % (17050)------------------------------
% 1.59/0.57  % (17050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57  % (17050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57  % (17050)Termination reason: Unknown
% 1.59/0.57  % (17050)Termination phase: Saturation
% 1.59/0.57  
% 1.59/0.57  % (17050)Memory used [KB]: 6268
% 1.59/0.57  % (17050)Time elapsed: 0.153 s
% 1.59/0.57  % (17050)Instructions burned: 12 (million)
% 1.59/0.57  % (17050)------------------------------
% 1.59/0.57  % (17050)------------------------------
% 1.59/0.57  % (17052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57  % (17052)Termination reason: Unknown
% 1.59/0.57  % (17052)Termination phase: Saturation
% 1.59/0.57  
% 1.59/0.57  % (17052)Memory used [KB]: 1791
% 1.59/0.57  % (17052)Time elapsed: 0.169 s
% 1.59/0.57  % (17052)Instructions burned: 17 (million)
% 1.59/0.57  % (17052)------------------------------
% 1.59/0.57  % (17052)------------------------------
% 1.59/0.57  % (17068)Instruction limit reached!
% 1.59/0.57  % (17068)------------------------------
% 1.59/0.57  % (17068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57  % (17068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57  % (17068)Termination reason: Unknown
% 1.59/0.57  % (17068)Termination phase: Saturation
% 1.59/0.57  
% 1.59/0.57  % (17068)Memory used [KB]: 6524
% 1.59/0.57  % (17068)Time elapsed: 0.167 s
% 1.59/0.57  % (17068)Instructions burned: 26 (million)
% 1.59/0.57  % (17068)------------------------------
% 1.59/0.57  % (17068)------------------------------
% 1.59/0.58  % (17150)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.59/0.58  % (17070)Instruction limit reached!
% 1.59/0.58  % (17070)------------------------------
% 1.59/0.58  % (17070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58  % (17070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58  % (17070)Termination reason: Unknown
% 1.59/0.58  % (17070)Termination phase: Saturation
% 1.59/0.58  
% 1.59/0.58  % (17070)Memory used [KB]: 6396
% 1.59/0.58  % (17070)Time elapsed: 0.166 s
% 1.59/0.58  % (17070)Instructions burned: 25 (million)
% 1.59/0.58  % (17070)------------------------------
% 1.59/0.58  % (17070)------------------------------
% 1.59/0.58  % (17065)Instruction limit reached!
% 1.59/0.58  % (17065)------------------------------
% 1.59/0.58  % (17065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58  % (17065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58  % (17065)Termination reason: Unknown
% 1.59/0.58  % (17065)Termination phase: Saturation
% 1.59/0.58  
% 1.59/0.58  % (17065)Memory used [KB]: 6652
% 1.59/0.58  % (17065)Time elapsed: 0.201 s
% 1.59/0.58  % (17065)Instructions burned: 52 (million)
% 1.59/0.58  % (17065)------------------------------
% 1.59/0.58  % (17065)------------------------------
% 1.59/0.58  % (17057)Instruction limit reached!
% 1.59/0.58  % (17057)------------------------------
% 1.59/0.58  % (17057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58  % (17057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58  % (17057)Termination reason: Unknown
% 1.59/0.58  % (17057)Termination phase: Saturation
% 1.59/0.58  
% 1.59/0.58  % (17057)Memory used [KB]: 6396
% 1.59/0.58  % (17057)Time elapsed: 0.162 s
% 1.59/0.58  % (17057)Instructions burned: 51 (million)
% 1.59/0.58  % (17057)------------------------------
% 1.59/0.58  % (17057)------------------------------
% 1.59/0.58  % (17061)Instruction limit reached!
% 1.59/0.58  % (17061)------------------------------
% 1.59/0.58  % (17061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58  % (17061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58  % (17061)Termination reason: Unknown
% 1.59/0.58  % (17061)Termination phase: Saturation
% 1.59/0.58  
% 1.59/0.58  % (17061)Memory used [KB]: 6396
% 1.59/0.58  % (17061)Time elapsed: 0.191 s
% 1.59/0.58  % (17061)Instructions burned: 30 (million)
% 1.59/0.58  % (17061)------------------------------
% 1.59/0.58  % (17061)------------------------------
% 1.59/0.59  % (17064)Instruction limit reached!
% 1.59/0.59  % (17064)------------------------------
% 1.59/0.59  % (17064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59  % (17064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59  % (17064)Termination reason: Unknown
% 1.59/0.59  % (17064)Termination phase: Saturation
% 1.59/0.59  
% 1.59/0.59  % (17064)Memory used [KB]: 2174
% 1.59/0.59  % (17064)Time elapsed: 0.164 s
% 1.59/0.59  % (17064)Instructions burned: 45 (million)
% 1.59/0.59  % (17064)------------------------------
% 1.59/0.59  % (17064)------------------------------
% 1.59/0.59  % (17046)Instruction limit reached!
% 1.59/0.59  % (17046)------------------------------
% 1.59/0.59  % (17046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60  % (17043)Instruction limit reached!
% 1.59/0.60  % (17043)------------------------------
% 1.59/0.60  % (17043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60  % (17043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60  % (17043)Termination reason: Unknown
% 1.59/0.60  % (17043)Termination phase: Saturation
% 1.59/0.60  
% 1.59/0.60  % (17043)Memory used [KB]: 6908
% 1.59/0.60  % (17043)Time elapsed: 0.169 s
% 1.59/0.60  % (17043)Instructions burned: 51 (million)
% 1.59/0.60  % (17043)------------------------------
% 1.59/0.60  % (17043)------------------------------
% 1.59/0.60  % (17047)Instruction limit reached!
% 1.59/0.60  % (17047)------------------------------
% 1.59/0.60  % (17047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60  % (17047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60  % (17047)Termination reason: Unknown
% 1.59/0.60  % (17047)Termination phase: Saturation
% 1.59/0.60  
% 1.59/0.60  % (17047)Memory used [KB]: 6652
% 1.59/0.60  % (17047)Time elapsed: 0.203 s
% 1.59/0.60  % (17047)Instructions burned: 39 (million)
% 1.59/0.60  % (17047)------------------------------
% 1.59/0.60  % (17047)------------------------------
% 1.59/0.60  % (17046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60  % (17046)Termination reason: Unknown
% 1.59/0.60  % (17046)Termination phase: Saturation
% 1.59/0.60  
% 1.59/0.60  % (17046)Memory used [KB]: 6396
% 1.59/0.60  % (17046)Time elapsed: 0.193 s
% 1.59/0.60  % (17046)Instructions burned: 39 (million)
% 1.59/0.60  % (17046)------------------------------
% 1.59/0.60  % (17046)------------------------------
% 1.59/0.61  % (17053)Instruction limit reached!
% 1.59/0.61  % (17053)------------------------------
% 1.59/0.61  % (17053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.63  % (17158)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.00/0.63  % (17053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.63  % (17053)Termination reason: Unknown
% 2.00/0.63  % (17053)Termination phase: Saturation
% 2.00/0.63  
% 2.00/0.63  % (17053)Memory used [KB]: 7164
% 2.00/0.63  % (17053)Time elapsed: 0.200 s
% 2.00/0.63  % (17053)Instructions burned: 51 (million)
% 2.00/0.63  % (17053)------------------------------
% 2.00/0.63  % (17053)------------------------------
% 2.00/0.64  % (17158)Instruction limit reached!
% 2.00/0.64  % (17158)------------------------------
% 2.00/0.64  % (17158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.65  % (17158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.65  % (17158)Termination reason: Unknown
% 2.00/0.65  % (17158)Termination phase: Saturation
% 2.00/0.65  
% 2.00/0.65  % (17158)Memory used [KB]: 10618
% 2.00/0.65  % (17158)Time elapsed: 0.094 s
% 2.00/0.65  % (17158)Instructions burned: 7 (million)
% 2.00/0.65  % (17158)------------------------------
% 2.00/0.65  % (17158)------------------------------
% 2.00/0.66  % (17170)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.00/0.66  % (17067)Refutation not found, non-redundant clauses discarded% (17067)------------------------------
% 2.00/0.66  % (17067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.66  % (17067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.66  % (17067)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.00/0.66  
% 2.00/0.66  % (17067)Memory used [KB]: 6780
% 2.00/0.66  % (17067)Time elapsed: 0.244 s
% 2.00/0.66  % (17067)Instructions burned: 86 (million)
% 2.00/0.66  % (17067)------------------------------
% 2.00/0.66  % (17067)------------------------------
% 2.00/0.66  % (17063)Instruction limit reached!
% 2.00/0.66  % (17063)------------------------------
% 2.00/0.66  % (17063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.66  % (17063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.66  % (17063)Termination reason: Unknown
% 2.00/0.66  % (17063)Termination phase: Saturation
% 2.00/0.66  
% 2.00/0.66  % (17063)Memory used [KB]: 8187
% 2.00/0.66  % (17063)Time elapsed: 0.260 s
% 2.00/0.66  % (17063)Instructions burned: 83 (million)
% 2.00/0.66  % (17063)------------------------------
% 2.00/0.66  % (17063)------------------------------
% 2.00/0.66  % (17173)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.00/0.66  % (17172)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.00/0.67  % (17174)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.00/0.67  % (17150)First to succeed.
% 2.11/0.68  % (17150)Refutation found. Thanks to Tanya!
% 2.11/0.68  % SZS status Theorem for theBenchmark
% 2.11/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.11/0.68  % (17150)------------------------------
% 2.11/0.68  % (17150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.68  % (17150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.68  % (17150)Termination reason: Refutation
% 2.11/0.68  
% 2.11/0.68  % (17150)Memory used [KB]: 6652
% 2.11/0.68  % (17150)Time elapsed: 0.125 s
% 2.11/0.68  % (17150)Instructions burned: 61 (million)
% 2.11/0.68  % (17150)------------------------------
% 2.11/0.68  % (17150)------------------------------
% 2.11/0.68  % (17036)Success in time 0.335 s
%------------------------------------------------------------------------------