TSTP Solution File: NUM462+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM462+2 : 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 : n025.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 17:59:46 EDT 2022

% Result   : Theorem 2.14s 0.71s
% Output   : Refutation 2.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   92 (  11 unt;   0 def)
%            Number of atoms       :  331 ( 110 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  442 ( 203   ~; 179   |;  43   &)
%                                         (   4 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   85 (  77   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1220,plain,
    $false,
    inference(avatar_sat_refutation,[],[f164,f480,f814,f1100,f1217]) ).

fof(f1217,plain,
    ~ spl2_5,
    inference(avatar_contradiction_clause,[],[f1216]) ).

fof(f1216,plain,
    ( $false
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f1215,f122]) ).

fof(f122,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,axiom,
    ( aNaturalNumber0(xl)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__897) ).

fof(f1215,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f1212,f138]) ).

fof(f138,plain,
    aNaturalNumber0(sK1),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ( sdtlseqdt0(xl,xn)
    & aNaturalNumber0(sK1)
    & xn = sdtpldt0(xl,sK1)
    & sz00 != xm
    & xl != xn ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f26,f95]) ).

fof(f95,plain,
    ( ? [X0] :
        ( aNaturalNumber0(X0)
        & xn = sdtpldt0(xl,X0) )
   => ( aNaturalNumber0(sK1)
      & xn = sdtpldt0(xl,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f26,axiom,
    ( sdtlseqdt0(xl,xn)
    & ? [X0] :
        ( aNaturalNumber0(X0)
        & xn = sdtpldt0(xl,X0) )
    & sz00 != xm
    & xl != xn ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__897_03) ).

fof(f1212,plain,
    ( ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(xm)
    | ~ spl2_5 ),
    inference(resolution,[],[f1210,f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1) ),
    inference(rectify,[],[f62]) ).

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

fof(f61,plain,
    ! [X1,X0] :
      ( aNaturalNumber0(sdtasdt0(X1,X0))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X1,X0)) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f1210,plain,
    ( ~ aNaturalNumber0(sdtasdt0(sK1,xm))
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f1208,f138]) ).

fof(f1208,plain,
    ( ~ aNaturalNumber0(sdtasdt0(sK1,xm))
    | ~ aNaturalNumber0(sK1)
    | ~ spl2_5 ),
    inference(trivial_inequality_removal,[],[f1198]) ).

fof(f1198,plain,
    ( ~ aNaturalNumber0(sdtasdt0(sK1,xm))
    | sdtasdt0(xn,xm) != sdtasdt0(xn,xm)
    | ~ aNaturalNumber0(sK1)
    | ~ spl2_5 ),
    inference(superposition,[],[f1123,f137]) ).

fof(f137,plain,
    xn = sdtpldt0(xl,sK1),
    inference(cnf_transformation,[],[f96]) ).

fof(f1123,plain,
    ( ! [X0] :
        ( sdtasdt0(xn,xm) != sdtasdt0(sdtpldt0(xl,X0),xm)
        | ~ aNaturalNumber0(sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f1122,f123]) ).

fof(f123,plain,
    aNaturalNumber0(xl),
    inference(cnf_transformation,[],[f25]) ).

fof(f1122,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xl)
        | sdtasdt0(xn,xm) != sdtasdt0(sdtpldt0(xl,X0),xm) )
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f1112,f122]) ).

fof(f1112,plain,
    ( ! [X0] :
        ( sdtasdt0(xn,xm) != sdtasdt0(sdtpldt0(xl,X0),xm)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(sdtasdt0(X0,xm))
        | ~ aNaturalNumber0(xl) )
    | ~ spl2_5 ),
    inference(superposition,[],[f163,f99]) ).

fof(f99,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)) = sdtasdt0(sdtpldt0(X1,X0),X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)) = sdtasdt0(X2,sdtpldt0(X1,X0))
        & sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)) = sdtasdt0(sdtpldt0(X1,X0),X2) )
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f75]) ).

fof(f75,plain,
    ! [X2,X1,X0] :
      ( ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
      | ~ aNaturalNumber0(X2) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X2,X1,X0] :
      ( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X2,X1,X0] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).

fof(f163,plain,
    ( ! [X0] :
        ( sdtasdt0(xn,xm) != sdtpldt0(sdtasdt0(xl,xm),X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f162,plain,
    ( spl2_5
  <=> ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xn,xm) != sdtpldt0(sdtasdt0(xl,xm),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f1100,plain,
    ~ spl2_3,
    inference(avatar_contradiction_clause,[],[f1099]) ).

fof(f1099,plain,
    ( $false
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f1098,f138]) ).

fof(f1098,plain,
    ( ~ aNaturalNumber0(sK1)
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f1097,f122]) ).

fof(f1097,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sK1)
    | ~ spl2_3 ),
    inference(resolution,[],[f1077,f113]) ).

fof(f1077,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,sK1))
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f1075,f138]) ).

fof(f1075,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,sK1))
    | ~ aNaturalNumber0(sK1)
    | ~ spl2_3 ),
    inference(trivial_inequality_removal,[],[f1067]) ).

fof(f1067,plain,
    ( ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(sdtasdt0(xm,sK1))
    | sdtasdt0(xm,xn) != sdtasdt0(xm,xn)
    | ~ spl2_3 ),
    inference(superposition,[],[f843,f137]) ).

fof(f843,plain,
    ( ! [X1] :
        ( sdtasdt0(xm,xn) != sdtasdt0(xm,sdtpldt0(xl,X1))
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(sdtasdt0(xm,X1)) )
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f842,f123]) ).

fof(f842,plain,
    ( ! [X1] :
        ( sdtasdt0(xm,xn) != sdtasdt0(xm,sdtpldt0(xl,X1))
        | ~ aNaturalNumber0(sdtasdt0(xm,X1))
        | ~ aNaturalNumber0(xl)
        | ~ aNaturalNumber0(X1) )
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f833,f122]) ).

fof(f833,plain,
    ( ! [X1] :
        ( sdtasdt0(xm,xn) != sdtasdt0(xm,sdtpldt0(xl,X1))
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X1)
        | ~ aNaturalNumber0(xl)
        | ~ aNaturalNumber0(sdtasdt0(xm,X1)) )
    | ~ spl2_3 ),
    inference(superposition,[],[f155,f100]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0)) = sdtasdt0(X2,sdtpldt0(X1,X0))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f155,plain,
    ( ! [X1] :
        ( sdtasdt0(xm,xn) != sdtpldt0(sdtasdt0(xm,xl),X1)
        | ~ aNaturalNumber0(X1) )
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f154,plain,
    ( spl2_3
  <=> ! [X1] :
        ( sdtasdt0(xm,xn) != sdtpldt0(sdtasdt0(xm,xl),X1)
        | ~ aNaturalNumber0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f814,plain,
    ( spl2_2
    | ~ spl2_4 ),
    inference(avatar_contradiction_clause,[],[f813]) ).

fof(f813,plain,
    ( $false
    | spl2_2
    | ~ spl2_4 ),
    inference(subsumption_resolution,[],[f812,f123]) ).

fof(f812,plain,
    ( ~ aNaturalNumber0(xl)
    | spl2_2
    | ~ spl2_4 ),
    inference(subsumption_resolution,[],[f807,f122]) ).

fof(f807,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xl)
    | spl2_2
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f805]) ).

fof(f805,plain,
    ( sdtasdt0(xm,xl) != sdtasdt0(xm,xl)
    | ~ aNaturalNumber0(xl)
    | ~ aNaturalNumber0(xm)
    | spl2_2
    | ~ spl2_4 ),
    inference(superposition,[],[f653,f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(rectify,[],[f51]) ).

fof(f51,plain,
    ! [X1,X0] :
      ( ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

fof(f653,plain,
    ( sdtasdt0(xm,xl) != sdtasdt0(xl,xm)
    | spl2_2
    | ~ spl2_4 ),
    inference(forward_demodulation,[],[f652,f159]) ).

fof(f159,plain,
    ( sdtasdt0(xm,xl) = sdtasdt0(xm,xn)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f157,plain,
    ( spl2_4
  <=> sdtasdt0(xm,xl) = sdtasdt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f652,plain,
    ( sdtasdt0(xm,xn) != sdtasdt0(xl,xm)
    | spl2_2 ),
    inference(subsumption_resolution,[],[f651,f121]) ).

fof(f121,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f25]) ).

fof(f651,plain,
    ( sdtasdt0(xm,xn) != sdtasdt0(xl,xm)
    | ~ aNaturalNumber0(xn)
    | spl2_2 ),
    inference(subsumption_resolution,[],[f649,f122]) ).

fof(f649,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | sdtasdt0(xm,xn) != sdtasdt0(xl,xm)
    | spl2_2 ),
    inference(superposition,[],[f151,f106]) ).

fof(f151,plain,
    ( sdtasdt0(xl,xm) != sdtasdt0(xn,xm)
    | spl2_2 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl2_2
  <=> sdtasdt0(xl,xm) = sdtasdt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f480,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f479]) ).

fof(f479,plain,
    ( $false
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f478,f135]) ).

fof(f135,plain,
    xl != xn,
    inference(cnf_transformation,[],[f96]) ).

fof(f478,plain,
    ( xl = xn
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f469,f123]) ).

fof(f469,plain,
    ( ~ aNaturalNumber0(xl)
    | xl = xn
    | ~ spl2_2 ),
    inference(trivial_inequality_removal,[],[f466]) ).

fof(f466,plain,
    ( sdtasdt0(xm,xn) != sdtasdt0(xm,xn)
    | xl = xn
    | ~ aNaturalNumber0(xl)
    | ~ spl2_2 ),
    inference(superposition,[],[f252,f248]) ).

fof(f248,plain,
    ( sdtasdt0(xm,xn) = sdtasdt0(xl,xm)
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f247,f121]) ).

fof(f247,plain,
    ( sdtasdt0(xm,xn) = sdtasdt0(xl,xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f233,f122]) ).

fof(f233,plain,
    ( sdtasdt0(xm,xn) = sdtasdt0(xl,xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl2_2 ),
    inference(superposition,[],[f152,f106]) ).

fof(f152,plain,
    ( sdtasdt0(xl,xm) = sdtasdt0(xn,xm)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f252,plain,
    ( ! [X8] :
        ( sdtasdt0(xm,xn) != sdtasdt0(X8,xm)
        | ~ aNaturalNumber0(X8)
        | xn = X8 )
    | ~ spl2_2 ),
    inference(forward_demodulation,[],[f251,f248]) ).

fof(f251,plain,
    ( ! [X8] :
        ( sdtasdt0(xl,xm) != sdtasdt0(X8,xm)
        | ~ aNaturalNumber0(X8)
        | xn = X8 )
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f250,f122]) ).

fof(f250,plain,
    ( ! [X8] :
        ( sdtasdt0(xl,xm) != sdtasdt0(X8,xm)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X8)
        | xn = X8 )
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f249,f136]) ).

fof(f136,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f96]) ).

fof(f249,plain,
    ( ! [X8] :
        ( xn = X8
        | sz00 = xm
        | sdtasdt0(xl,xm) != sdtasdt0(X8,xm)
        | ~ aNaturalNumber0(xm)
        | ~ aNaturalNumber0(X8) )
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f246,f121]) ).

fof(f246,plain,
    ( ! [X8] :
        ( xn = X8
        | ~ aNaturalNumber0(xn)
        | ~ aNaturalNumber0(X8)
        | sz00 = xm
        | sdtasdt0(xl,xm) != sdtasdt0(X8,xm)
        | ~ aNaturalNumber0(xm) )
    | ~ spl2_2 ),
    inference(superposition,[],[f134,f152]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | X1 = X2
      | ~ aNaturalNumber0(X2) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( sz00 = X0
      | ! [X1,X2] :
          ( ~ aNaturalNumber0(X2)
          | X1 = X2
          | ~ aNaturalNumber0(X1)
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( sz00 = X0
      | ! [X2,X1] :
          ( ~ aNaturalNumber0(X1)
          | X1 = X2
          | ~ aNaturalNumber0(X2)
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f47]) ).

fof(f47,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,[],[f43]) ).

fof(f43,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(X2)
              & aNaturalNumber0(X1) )
           => ( ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
                | sdtasdt0(X1,X0) = sdtasdt0(X2,X0) )
             => X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).

fof(f164,plain,
    ( spl2_3
    | spl2_2
    | spl2_4
    | spl2_5 ),
    inference(avatar_split_clause,[],[f111,f162,f157,f150,f154]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | sdtasdt0(xn,xm) != sdtpldt0(sdtasdt0(xl,xm),X0)
      | sdtasdt0(xm,xl) = sdtasdt0(xm,xn)
      | sdtasdt0(xl,xm) = sdtasdt0(xn,xm)
      | sdtasdt0(xm,xn) != sdtpldt0(sdtasdt0(xm,xl),X1)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( ( ! [X0] :
          ( sdtasdt0(xn,xm) != sdtpldt0(sdtasdt0(xl,xm),X0)
          | ~ aNaturalNumber0(X0) )
      & ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)) )
    | sdtasdt0(xm,xl) = sdtasdt0(xm,xn)
    | sdtasdt0(xl,xm) = sdtasdt0(xn,xm)
    | ( ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
      & ! [X1] :
          ( sdtasdt0(xm,xn) != sdtpldt0(sdtasdt0(xm,xl),X1)
          | ~ aNaturalNumber0(X1) ) ) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ~ ( sdtasdt0(xl,xm) != sdtasdt0(xn,xm)
      & ( ? [X1] :
            ( sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xm,xl),X1)
            & aNaturalNumber0(X1) )
        | sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)) )
      & sdtasdt0(xm,xl) != sdtasdt0(xm,xn)
      & ( ? [X0] :
            ( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xl,xm),X0)
            & aNaturalNumber0(X0) )
        | sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)) ) ),
    inference(rectify,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ( sdtasdt0(xm,xl) != sdtasdt0(xm,xn)
      & ( ? [X0] :
            ( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xl,xm),X0)
            & aNaturalNumber0(X0) )
        | sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)) )
      & sdtasdt0(xl,xm) != sdtasdt0(xn,xm)
      & ( ? [X0] :
            ( sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xm,xl),X0)
            & aNaturalNumber0(X0) )
        | sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)) ) ),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ( sdtasdt0(xm,xl) != sdtasdt0(xm,xn)
    & ( ? [X0] :
          ( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xl,xm),X0)
          & aNaturalNumber0(X0) )
      | sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)) )
    & sdtasdt0(xl,xm) != sdtasdt0(xn,xm)
    & ( ? [X0] :
          ( sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xm,xl),X0)
          & aNaturalNumber0(X0) )
      | sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM462+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34  % CPULimit   : 300
% 0.19/0.34  % WCLimit    : 300
% 0.19/0.34  % DateTime   : Tue Aug 30 06:45:29 EDT 2022
% 0.19/0.34  % CPUTime    : 
% 0.19/0.47  % (9512)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)
% 0.19/0.48  % (9520)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)
% 0.19/0.49  % (9520)Instruction limit reached!
% 0.19/0.49  % (9520)------------------------------
% 0.19/0.49  % (9520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (9520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (9520)Termination reason: Unknown
% 0.19/0.50  % (9520)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (9520)Memory used [KB]: 6012
% 0.19/0.50  % (9520)Time elapsed: 0.104 s
% 0.19/0.50  % (9520)Instructions burned: 8 (million)
% 0.19/0.50  % (9520)------------------------------
% 0.19/0.50  % (9520)------------------------------
% 0.19/0.50  % (9528)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  % (9506)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)
% 0.19/0.51  % (9529)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)
% 0.19/0.51  % (9509)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)
% 0.19/0.51  % (9513)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)
% 0.19/0.52  % (9521)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)
% 0.19/0.52  % (9531)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)
% 0.19/0.52  % (9506)Instruction limit reached!
% 0.19/0.52  % (9506)------------------------------
% 0.19/0.52  % (9506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (9506)Termination reason: Unknown
% 0.19/0.52  % (9506)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (9506)Memory used [KB]: 6268
% 0.19/0.52  % (9506)Time elapsed: 0.128 s
% 0.19/0.52  % (9506)Instructions burned: 13 (million)
% 0.19/0.52  % (9506)------------------------------
% 0.19/0.52  % (9506)------------------------------
% 0.19/0.52  % (9523)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)
% 0.19/0.52  % (9534)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)
% 0.19/0.52  % (9507)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)
% 0.19/0.52  % (9507)Instruction limit reached!
% 0.19/0.52  % (9507)------------------------------
% 0.19/0.52  % (9507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (9507)Termination reason: Unknown
% 0.19/0.52  % (9507)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (9507)Memory used [KB]: 1407
% 0.19/0.52  % (9507)Time elapsed: 0.003 s
% 0.19/0.52  % (9507)Instructions burned: 3 (million)
% 0.19/0.52  % (9507)------------------------------
% 0.19/0.52  % (9507)------------------------------
% 0.19/0.52  % (9523)Instruction limit reached!
% 0.19/0.52  % (9523)------------------------------
% 0.19/0.52  % (9523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9505)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52  % (9523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (9523)Termination reason: Unknown
% 0.19/0.52  % (9523)Termination phase: Preprocessing 2
% 0.19/0.52  
% 0.19/0.53  % (9523)Memory used [KB]: 1407
% 0.19/0.53  % (9523)Time elapsed: 0.004 s
% 0.19/0.53  % (9523)Instructions burned: 2 (million)
% 0.19/0.53  % (9523)------------------------------
% 0.19/0.53  % (9523)------------------------------
% 0.19/0.53  % (9510)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)
% 0.19/0.53  % (9515)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)
% 0.19/0.53  % (9533)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)
% 0.19/0.53  % (9527)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)
% 0.19/0.53  % (9508)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)
% 0.19/0.53  % (9530)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)
% 0.19/0.53  % (9512)Refutation not found, non-redundant clauses discarded% (9512)------------------------------
% 0.19/0.53  % (9512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9519)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)
% 0.19/0.53  % (9526)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)
% 0.19/0.54  % (9518)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)
% 0.19/0.54  % (9522)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54  % (9509)Instruction limit reached!
% 0.19/0.54  % (9509)------------------------------
% 0.19/0.54  % (9509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (9515)Instruction limit reached!
% 0.19/0.54  % (9515)------------------------------
% 0.19/0.54  % (9515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (9515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (9515)Termination reason: Unknown
% 0.19/0.54  % (9515)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (9515)Memory used [KB]: 6268
% 0.19/0.54  % (9515)Time elapsed: 0.143 s
% 0.19/0.54  % (9515)Instructions burned: 12 (million)
% 0.19/0.54  % (9515)------------------------------
% 0.19/0.54  % (9515)------------------------------
% 0.19/0.54  % (9524)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)
% 0.19/0.54  % (9511)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)
% 0.19/0.54  % (9512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (9512)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.19/0.54  
% 0.19/0.54  % (9512)Memory used [KB]: 6524
% 0.19/0.54  % (9512)Time elapsed: 0.133 s
% 0.19/0.54  % (9512)Instructions burned: 35 (million)
% 0.19/0.54  % (9512)------------------------------
% 0.19/0.54  % (9512)------------------------------
% 0.19/0.54  % (9525)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)
% 0.19/0.54  % (9514)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)
% 0.19/0.54  % (9516)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)
% 0.19/0.54  % (9517)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)
% 0.19/0.54  % (9519)Instruction limit reached!
% 0.19/0.54  % (9519)------------------------------
% 0.19/0.54  % (9519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (9519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (9519)Termination reason: Unknown
% 0.19/0.54  % (9519)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (9519)Memory used [KB]: 6012
% 0.19/0.54  % (9519)Time elapsed: 0.003 s
% 0.19/0.54  % (9519)Instructions burned: 3 (million)
% 0.19/0.54  % (9519)------------------------------
% 0.19/0.54  % (9519)------------------------------
% 0.19/0.54  % (9532)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)
% 0.19/0.55  % (9522)Instruction limit reached!
% 0.19/0.55  % (9522)------------------------------
% 0.19/0.55  % (9522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (9522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (9522)Termination reason: Unknown
% 0.19/0.55  % (9522)Termination phase: Finite model building preprocessing
% 0.19/0.55  
% 0.19/0.55  % (9522)Memory used [KB]: 1535
% 0.19/0.55  % (9522)Time elapsed: 0.004 s
% 0.19/0.55  % (9522)Instructions burned: 3 (million)
% 0.19/0.55  % (9522)------------------------------
% 0.19/0.55  % (9522)------------------------------
% 0.19/0.56  % (9509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (9509)Termination reason: Unknown
% 0.19/0.56  % (9509)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (9509)Memory used [KB]: 6268
% 0.19/0.56  % (9509)Time elapsed: 0.140 s
% 0.19/0.56  % (9509)Instructions burned: 14 (million)
% 0.19/0.56  % (9509)------------------------------
% 0.19/0.56  % (9509)------------------------------
% 0.19/0.56  % (9510)Instruction limit reached!
% 0.19/0.56  % (9510)------------------------------
% 0.19/0.56  % (9510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (9510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (9510)Termination reason: Unknown
% 0.19/0.56  % (9510)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (9510)Memory used [KB]: 1663
% 0.19/0.56  % (9510)Time elapsed: 0.167 s
% 0.19/0.56  % (9510)Instructions burned: 16 (million)
% 0.19/0.56  % (9510)------------------------------
% 0.19/0.56  % (9510)------------------------------
% 0.19/0.56  % (9533)Instruction limit reached!
% 0.19/0.56  % (9533)------------------------------
% 0.19/0.56  % (9533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (9533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (9533)Termination reason: Unknown
% 0.19/0.56  % (9533)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (9533)Memory used [KB]: 6140
% 0.19/0.56  % (9533)Time elapsed: 0.168 s
% 0.19/0.56  % (9533)Instructions burned: 8 (million)
% 0.19/0.56  % (9533)------------------------------
% 0.19/0.56  % (9533)------------------------------
% 0.19/0.56  % (9524)Instruction limit reached!
% 0.19/0.56  % (9524)------------------------------
% 0.19/0.56  % (9524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.56  % (9516)Instruction limit reached!
% 1.69/0.56  % (9516)------------------------------
% 1.69/0.56  % (9516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.56  % (9517)Instruction limit reached!
% 1.69/0.56  % (9517)------------------------------
% 1.69/0.56  % (9517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.56  % (9517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.56  % (9517)Termination reason: Unknown
% 1.69/0.56  % (9517)Termination phase: Saturation
% 1.69/0.56  
% 1.69/0.56  % (9517)Memory used [KB]: 1663
% 1.69/0.56  % (9517)Time elapsed: 0.164 s
% 1.69/0.56  % (9517)Instructions burned: 16 (million)
% 1.69/0.56  % (9517)------------------------------
% 1.69/0.56  % (9517)------------------------------
% 1.69/0.56  % (9516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.56  % (9516)Termination reason: Unknown
% 1.69/0.56  % (9516)Termination phase: Saturation
% 1.69/0.56  
% 1.69/0.56  % (9516)Memory used [KB]: 6012
% 1.69/0.56  % (9516)Time elapsed: 0.166 s
% 1.69/0.56  % (9516)Instructions burned: 7 (million)
% 1.69/0.56  % (9516)------------------------------
% 1.69/0.56  % (9516)------------------------------
% 1.69/0.57  % (9524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57  % (9524)Termination reason: Unknown
% 1.69/0.57  % (9524)Termination phase: Saturation
% 1.69/0.57  
% 1.69/0.57  % (9524)Memory used [KB]: 6268
% 1.69/0.57  % (9524)Time elapsed: 0.169 s
% 1.69/0.57  % (9524)Instructions burned: 11 (million)
% 1.69/0.57  % (9524)------------------------------
% 1.69/0.57  % (9524)------------------------------
% 1.69/0.57  % (9528)Instruction limit reached!
% 1.69/0.57  % (9528)------------------------------
% 1.69/0.57  % (9528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57  % (9528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57  % (9528)Termination reason: Unknown
% 1.69/0.57  % (9528)Termination phase: Saturation
% 1.69/0.57  
% 1.69/0.57  % (9528)Memory used [KB]: 2174
% 1.69/0.57  % (9528)Time elapsed: 0.170 s
% 1.69/0.57  % (9528)Instructions burned: 46 (million)
% 1.69/0.57  % (9528)------------------------------
% 1.69/0.57  % (9528)------------------------------
% 1.69/0.58  % (9532)Instruction limit reached!
% 1.69/0.58  % (9532)------------------------------
% 1.69/0.58  % (9532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58  % (9532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58  % (9532)Termination reason: Unknown
% 1.69/0.58  % (9532)Termination phase: Saturation
% 1.69/0.58  
% 1.69/0.58  % (9532)Memory used [KB]: 6396
% 1.69/0.58  % (9532)Time elapsed: 0.171 s
% 1.69/0.58  % (9532)Instructions burned: 26 (million)
% 1.69/0.58  % (9532)------------------------------
% 1.69/0.58  % (9532)------------------------------
% 1.69/0.58  % (9534)Instruction limit reached!
% 1.69/0.58  % (9534)------------------------------
% 1.69/0.58  % (9534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58  % (9534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58  % (9534)Termination reason: Unknown
% 1.69/0.58  % (9534)Termination phase: Saturation
% 1.69/0.58  
% 1.69/0.58  % (9534)Memory used [KB]: 6268
% 1.69/0.58  % (9534)Time elapsed: 0.172 s
% 1.69/0.58  % (9534)Instructions burned: 25 (million)
% 1.69/0.58  % (9534)------------------------------
% 1.69/0.58  % (9534)------------------------------
% 1.69/0.58  % (9521)Instruction limit reached!
% 1.69/0.58  % (9521)------------------------------
% 1.69/0.58  % (9521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58  % (9521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58  % (9521)Termination reason: Unknown
% 1.69/0.58  % (9521)Termination phase: Saturation
% 1.69/0.58  
% 1.69/0.58  % (9521)Memory used [KB]: 6524
% 1.69/0.58  % (9521)Time elapsed: 0.187 s
% 1.69/0.58  % (9521)Instructions burned: 52 (million)
% 1.69/0.58  % (9521)------------------------------
% 1.69/0.58  % (9521)------------------------------
% 1.84/0.58  % (9525)Instruction limit reached!
% 1.84/0.58  % (9525)------------------------------
% 1.84/0.58  % (9525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.58  % (9525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.58  % (9525)Termination reason: Unknown
% 1.84/0.58  % (9525)Termination phase: Saturation
% 1.84/0.58  
% 1.84/0.58  % (9525)Memory used [KB]: 6396
% 1.84/0.58  % (9525)Time elapsed: 0.190 s
% 1.84/0.58  % (9525)Instructions burned: 31 (million)
% 1.84/0.58  % (9525)------------------------------
% 1.84/0.58  % (9525)------------------------------
% 1.84/0.60  % (9513)Instruction limit reached!
% 1.84/0.60  % (9513)------------------------------
% 1.84/0.60  % (9513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60  % (9513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60  % (9513)Termination reason: Unknown
% 1.84/0.60  % (9513)Termination phase: Saturation
% 1.84/0.60  
% 1.84/0.60  % (9513)Memory used [KB]: 6780
% 1.84/0.60  % (9513)Time elapsed: 0.174 s
% 1.84/0.60  % (9513)Instructions burned: 49 (million)
% 1.84/0.60  % (9513)------------------------------
% 1.84/0.60  % (9513)------------------------------
% 1.84/0.60  % (9529)Instruction limit reached!
% 1.84/0.60  % (9529)------------------------------
% 1.84/0.60  % (9529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60  % (9529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60  % (9529)Termination reason: Unknown
% 1.84/0.60  % (9529)Termination phase: Saturation
% 1.84/0.60  
% 1.84/0.60  % (9529)Memory used [KB]: 6652
% 1.84/0.60  % (9529)Time elapsed: 0.183 s
% 1.84/0.60  % (9529)Instructions burned: 50 (million)
% 1.84/0.60  % (9529)------------------------------
% 1.84/0.60  % (9529)------------------------------
% 1.84/0.61  % (9511)Instruction limit reached!
% 1.84/0.61  % (9511)------------------------------
% 1.84/0.61  % (9511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61  % (9511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61  % (9511)Termination reason: Unknown
% 1.84/0.61  % (9511)Termination phase: Saturation
% 1.84/0.61  
% 1.84/0.61  % (9511)Memory used [KB]: 6396
% 1.84/0.61  % (9511)Time elapsed: 0.167 s
% 1.84/0.61  % (9511)Instructions burned: 39 (million)
% 1.84/0.61  % (9511)------------------------------
% 1.84/0.61  % (9511)------------------------------
% 1.84/0.61  % (9518)Instruction limit reached!
% 1.84/0.61  % (9518)------------------------------
% 1.84/0.61  % (9518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61  % (9518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61  % (9518)Termination reason: Unknown
% 1.84/0.61  % (9518)Termination phase: Saturation
% 1.84/0.61  
% 1.84/0.61  % (9518)Memory used [KB]: 7164
% 1.84/0.61  % (9518)Time elapsed: 0.223 s
% 1.84/0.61  % (9518)Instructions burned: 51 (million)
% 1.84/0.61  % (9518)------------------------------
% 1.84/0.61  % (9518)------------------------------
% 1.84/0.61  % (9514)Refutation not found, non-redundant clauses discarded% (9514)------------------------------
% 1.84/0.61  % (9514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61  % (9514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61  % (9514)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.84/0.61  
% 1.84/0.61  % (9514)Memory used [KB]: 6524
% 1.84/0.61  % (9514)Time elapsed: 0.198 s
% 1.84/0.61  % (9514)Instructions burned: 32 (million)
% 1.84/0.61  % (9514)------------------------------
% 1.84/0.61  % (9514)------------------------------
% 1.84/0.62  % (9508)Instruction limit reached!
% 1.84/0.62  % (9508)------------------------------
% 1.84/0.62  % (9508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.62  % (9508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.62  % (9508)Termination reason: Unknown
% 1.84/0.62  % (9508)Termination phase: Saturation
% 1.84/0.62  
% 1.84/0.62  % (9508)Memory used [KB]: 6780
% 1.84/0.62  % (9508)Time elapsed: 0.205 s
% 1.84/0.62  % (9508)Instructions burned: 52 (million)
% 1.84/0.62  % (9508)------------------------------
% 1.84/0.62  % (9508)------------------------------
% 2.08/0.63  % (9539)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)
% 2.14/0.65  % (9552)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)
% 2.14/0.65  % (9549)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)
% 2.14/0.65  % (9549)Instruction limit reached!
% 2.14/0.65  % (9549)------------------------------
% 2.14/0.65  % (9549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.65  % (9549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.65  % (9549)Termination reason: Unknown
% 2.14/0.65  % (9549)Termination phase: Saturation
% 2.14/0.65  
% 2.14/0.65  % (9549)Memory used [KB]: 10618
% 2.14/0.65  % (9549)Time elapsed: 0.102 s
% 2.14/0.65  % (9549)Instructions burned: 9 (million)
% 2.14/0.65  % (9549)------------------------------
% 2.14/0.65  % (9549)------------------------------
% 2.14/0.66  % (9553)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.14/0.66  % (9531)Refutation not found, non-redundant clauses discarded% (9531)------------------------------
% 2.14/0.66  % (9531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.66  % (9531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.66  % (9531)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.14/0.66  
% 2.14/0.66  % (9531)Memory used [KB]: 6780
% 2.14/0.66  % (9531)Time elapsed: 0.253 s
% 2.14/0.66  % (9531)Instructions burned: 98 (million)
% 2.14/0.66  % (9531)------------------------------
% 2.14/0.66  % (9531)------------------------------
% 2.14/0.66  % (9560)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.14/0.67  % (9527)Instruction limit reached!
% 2.14/0.67  % (9527)------------------------------
% 2.14/0.67  % (9527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.67  % (9527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.67  % (9527)Termination reason: Unknown
% 2.14/0.67  % (9527)Termination phase: Saturation
% 2.14/0.67  
% 2.14/0.67  % (9527)Memory used [KB]: 8059
% 2.14/0.67  % (9527)Time elapsed: 0.222 s
% 2.14/0.67  % (9527)Instructions burned: 83 (million)
% 2.14/0.67  % (9527)------------------------------
% 2.14/0.67  % (9527)------------------------------
% 2.14/0.67  % (9573)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.14/0.67  % (9579)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.14/0.67  % (9559)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)
% 2.14/0.67  % (9572)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.14/0.68  % (9564)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.14/0.68  % (9569)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.14/0.68  % (9526)Instruction limit reached!
% 2.14/0.68  % (9526)------------------------------
% 2.14/0.68  % (9526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.68  % (9526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.68  % (9526)Termination reason: Unknown
% 2.14/0.68  % (9526)Termination phase: Saturation
% 2.14/0.68  
% 2.14/0.68  % (9526)Memory used [KB]: 7291
% 2.14/0.68  % (9526)Time elapsed: 0.295 s
% 2.14/0.68  % (9526)Instructions burned: 101 (million)
% 2.14/0.68  % (9526)------------------------------
% 2.14/0.68  % (9526)------------------------------
% 2.14/0.68  % (9582)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.14/0.69  % (9570)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.14/0.69  % (9580)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.14/0.70  % (9584)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.14/0.70  % (9589)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.14/0.70  % (9590)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.14/0.70  % (9598)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.14/0.71  % (9539)First to succeed.
% 2.14/0.71  % (9539)Refutation found. Thanks to Tanya!
% 2.14/0.71  % SZS status Theorem for theBenchmark
% 2.14/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 2.14/0.71  % (9539)------------------------------
% 2.14/0.71  % (9539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.71  % (9539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.71  % (9539)Termination reason: Refutation
% 2.14/0.71  
% 2.14/0.71  % (9539)Memory used [KB]: 6524
% 2.14/0.71  % (9539)Time elapsed: 0.168 s
% 2.14/0.71  % (9539)Instructions burned: 41 (million)
% 2.14/0.71  % (9539)------------------------------
% 2.14/0.71  % (9539)------------------------------
% 2.14/0.71  % (9504)Success in time 0.364 s
%------------------------------------------------------------------------------