TSTP Solution File: NUM494+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM494+3 : 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 : n010.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 18:00:05 EDT 2022

% Result   : Theorem 2.87s 0.92s
% Output   : Refutation 2.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   93 (  11 unt;   0 def)
%            Number of atoms       :  314 (  46 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  385 ( 164   ~; 166   |;  37   &)
%                                         (   8 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   8 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   63 (  59   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f805,plain,
    $false,
    inference(avatar_sat_refutation,[],[f408,f576,f640,f748,f758,f761,f788,f800]) ).

fof(f800,plain,
    ( ~ spl15_1
    | ~ spl15_25
    | ~ spl15_26
    | spl15_27
    | ~ spl15_28 ),
    inference(avatar_contradiction_clause,[],[f799]) ).

fof(f799,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_25
    | ~ spl15_26
    | spl15_27
    | ~ spl15_28 ),
    inference(subsumption_resolution,[],[f798,f574]) ).

fof(f574,plain,
    ( aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl15_28 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f573,plain,
    ( spl15_28
  <=> aNaturalNumber0(sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).

fof(f798,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl15_1
    | ~ spl15_25
    | ~ spl15_26
    | spl15_27 ),
    inference(subsumption_resolution,[],[f797,f570]) ).

fof(f570,plain,
    ( ~ sQ14_eqProxy(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | spl15_27 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f569,plain,
    ( spl15_27
  <=> sQ14_eqProxy(sdtpldt0(xr,xm),sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).

fof(f797,plain,
    ( sQ14_eqProxy(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl15_1
    | ~ spl15_25
    | ~ spl15_26 ),
    inference(subsumption_resolution,[],[f796,f566]) ).

fof(f566,plain,
    ( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | ~ spl15_26 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f565,plain,
    ( spl15_26
  <=> sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).

fof(f796,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | sQ14_eqProxy(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl15_1
    | ~ spl15_25 ),
    inference(subsumption_resolution,[],[f795,f270]) ).

fof(f270,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aNaturalNumber0(xm)
    & aNaturalNumber0(xp)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).

fof(f795,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | sQ14_eqProxy(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl15_1
    | ~ spl15_25 ),
    inference(subsumption_resolution,[],[f792,f562]) ).

fof(f562,plain,
    ( aNaturalNumber0(sdtpldt0(xr,xm))
    | ~ spl15_25 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f561,plain,
    ( spl15_25
  <=> aNaturalNumber0(sdtpldt0(xr,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).

fof(f792,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xr,xm))
    | sQ14_eqProxy(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ aNaturalNumber0(xp)
    | ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | ~ spl15_1 ),
    inference(resolution,[],[f399,f382]) ).

fof(f382,plain,
    ! [X2,X0,X1] :
      ( ~ sQ14_eqProxy(sdtpldt0(X1,X2),sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X0)
      | sQ14_eqProxy(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2) ),
    inference(equality_proxy_replacement,[],[f293,f318,f318]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( sQ14_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ14_eqProxy])]) ).

fof(f293,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | X0 = X1
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
            & sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
            & sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
            & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1)) )
          | ~ aNaturalNumber0(X2) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | X0 = X1
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ( sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
            & sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
            & sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
            & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1)) )
          | ~ aNaturalNumber0(X2) )
      | X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( ( X0 != X1
          & sdtlseqdt0(X0,X1) )
       => ! [X2] :
            ( aNaturalNumber0(X2)
           => ( sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
              & sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
              & sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
              & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).

fof(f399,plain,
    ( sQ14_eqProxy(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(xr,xm),xp))
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f397,plain,
    ( spl15_1
  <=> sQ14_eqProxy(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(xr,xm),xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f788,plain,
    ( spl15_5
    | ~ spl15_27 ),
    inference(avatar_contradiction_clause,[],[f787]) ).

fof(f787,plain,
    ( $false
    | spl15_5
    | ~ spl15_27 ),
    inference(subsumption_resolution,[],[f786,f271]) ).

fof(f271,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f39]) ).

fof(f786,plain,
    ( ~ aNaturalNumber0(xm)
    | spl15_5
    | ~ spl15_27 ),
    inference(subsumption_resolution,[],[f785,f218]) ).

fof(f218,plain,
    aNaturalNumber0(xr),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    ( xn = sdtpldt0(xp,xr)
    & aNaturalNumber0(xr)
    & xr = sdtmndt0(xn,xp) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).

fof(f785,plain,
    ( ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xm)
    | spl15_5
    | ~ spl15_27 ),
    inference(subsumption_resolution,[],[f784,f269]) ).

fof(f269,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f39]) ).

fof(f784,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xm)
    | spl15_5
    | ~ spl15_27 ),
    inference(subsumption_resolution,[],[f781,f425]) ).

fof(f425,plain,
    ( ~ sQ14_eqProxy(xr,xn)
    | spl15_5 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f424,plain,
    ( spl15_5
  <=> sQ14_eqProxy(xr,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f781,plain,
    ( sQ14_eqProxy(xr,xn)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl15_27 ),
    inference(resolution,[],[f571,f337]) ).

fof(f337,plain,
    ! [X2,X0,X1] :
      ( ~ sQ14_eqProxy(sdtpldt0(X1,X0),sdtpldt0(X2,X0))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | sQ14_eqProxy(X1,X2) ),
    inference(equality_proxy_replacement,[],[f220,f318,f318]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
      | X1 = X2
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0,X1,X2] :
      ( ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
        & sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
      | X1 = X2
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1) ),
    inference(rectify,[],[f101]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
        & sdtpldt0(X1,X2) != sdtpldt0(X0,X2) )
      | X0 = X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ! [X2,X1,X0] :
      ( X0 = X1
      | ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
        & sdtpldt0(X1,X2) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X2) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X2,X1,X0] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0)
        & aNaturalNumber0(X2) )
     => ( ( sdtpldt0(X2,X0) = sdtpldt0(X2,X1)
          | sdtpldt0(X1,X2) = sdtpldt0(X0,X2) )
       => X0 = X1 ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X1,X2,X0] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X0) )
     => ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
          | sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).

fof(f571,plain,
    ( sQ14_eqProxy(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | ~ spl15_27 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f761,plain,
    ~ spl15_5,
    inference(avatar_contradiction_clause,[],[f760]) ).

fof(f760,plain,
    ( $false
    | ~ spl15_5 ),
    inference(subsumption_resolution,[],[f759,f339]) ).

fof(f339,plain,
    ~ sQ14_eqProxy(xn,xr),
    inference(equality_proxy_replacement,[],[f222,f318]) ).

fof(f222,plain,
    xn != xr,
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ( sdtlseqdt0(xr,xn)
    & xn = sdtpldt0(xr,sK4)
    & aNaturalNumber0(sK4)
    & xn != xr ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f44,f156]) ).

fof(f156,plain,
    ( ? [X0] :
        ( xn = sdtpldt0(xr,X0)
        & aNaturalNumber0(X0) )
   => ( xn = sdtpldt0(xr,sK4)
      & aNaturalNumber0(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f44,axiom,
    ( sdtlseqdt0(xr,xn)
    & ? [X0] :
        ( xn = sdtpldt0(xr,X0)
        & aNaturalNumber0(X0) )
    & xn != xr ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1894) ).

fof(f759,plain,
    ( sQ14_eqProxy(xn,xr)
    | ~ spl15_5 ),
    inference(resolution,[],[f426,f394]) ).

fof(f394,plain,
    ! [X0,X1] :
      ( ~ sQ14_eqProxy(X0,X1)
      | sQ14_eqProxy(X1,X0) ),
    inference(equality_proxy_axiom,[],[f318]) ).

fof(f426,plain,
    ( sQ14_eqProxy(xr,xn)
    | ~ spl15_5 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f758,plain,
    ( spl15_5
    | spl15_26 ),
    inference(avatar_split_clause,[],[f757,f565,f424]) ).

fof(f757,plain,
    ( sQ14_eqProxy(xr,xn)
    | spl15_26 ),
    inference(subsumption_resolution,[],[f756,f218]) ).

fof(f756,plain,
    ( ~ aNaturalNumber0(xr)
    | sQ14_eqProxy(xr,xn)
    | spl15_26 ),
    inference(subsumption_resolution,[],[f755,f225]) ).

fof(f225,plain,
    sdtlseqdt0(xr,xn),
    inference(cnf_transformation,[],[f157]) ).

fof(f755,plain,
    ( ~ sdtlseqdt0(xr,xn)
    | ~ aNaturalNumber0(xr)
    | sQ14_eqProxy(xr,xn)
    | spl15_26 ),
    inference(subsumption_resolution,[],[f754,f269]) ).

fof(f754,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xr)
    | sQ14_eqProxy(xr,xn)
    | ~ sdtlseqdt0(xr,xn)
    | spl15_26 ),
    inference(subsumption_resolution,[],[f750,f271]) ).

fof(f750,plain,
    ( ~ aNaturalNumber0(xm)
    | sQ14_eqProxy(xr,xn)
    | ~ aNaturalNumber0(xn)
    | ~ sdtlseqdt0(xr,xn)
    | ~ aNaturalNumber0(xr)
    | spl15_26 ),
    inference(resolution,[],[f567,f383]) ).

fof(f383,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X2)
      | sQ14_eqProxy(X0,X1)
      | ~ sdtlseqdt0(X0,X1) ),
    inference(equality_proxy_replacement,[],[f292,f318]) ).

fof(f292,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | X0 = X1
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f567,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | spl15_26 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f748,plain,
    spl15_28,
    inference(avatar_contradiction_clause,[],[f747]) ).

fof(f747,plain,
    ( $false
    | spl15_28 ),
    inference(subsumption_resolution,[],[f746,f271]) ).

fof(f746,plain,
    ( ~ aNaturalNumber0(xm)
    | spl15_28 ),
    inference(subsumption_resolution,[],[f745,f269]) ).

fof(f745,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | spl15_28 ),
    inference(resolution,[],[f575,f304]) ).

fof(f304,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(rectify,[],[f119]) ).

fof(f119,plain,
    ! [X1,X0] :
      ( aNaturalNumber0(sdtpldt0(X1,X0))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X1,X0))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtpldt0(X1,X0)) ),
    inference(rectify,[],[f4]) ).

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

fof(f575,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | spl15_28 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f640,plain,
    spl15_25,
    inference(avatar_contradiction_clause,[],[f639]) ).

fof(f639,plain,
    ( $false
    | spl15_25 ),
    inference(subsumption_resolution,[],[f638,f218]) ).

fof(f638,plain,
    ( ~ aNaturalNumber0(xr)
    | spl15_25 ),
    inference(subsumption_resolution,[],[f637,f271]) ).

fof(f637,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xr)
    | spl15_25 ),
    inference(resolution,[],[f563,f304]) ).

fof(f563,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xr,xm))
    | spl15_25 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f576,plain,
    ( ~ spl15_25
    | ~ spl15_26
    | spl15_27
    | ~ spl15_28
    | spl15_3 ),
    inference(avatar_split_clause,[],[f559,f405,f573,f569,f565,f561]) ).

fof(f405,plain,
    ( spl15_3
  <=> sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f559,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | sQ14_eqProxy(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | ~ aNaturalNumber0(sdtpldt0(xr,xm))
    | spl15_3 ),
    inference(subsumption_resolution,[],[f557,f270]) ).

fof(f557,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | sQ14_eqProxy(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
    | ~ aNaturalNumber0(sdtpldt0(xr,xm))
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | spl15_3 ),
    inference(resolution,[],[f407,f383]) ).

fof(f407,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | spl15_3 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f408,plain,
    ( spl15_1
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f333,f405,f397]) ).

fof(f333,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | sQ14_eqProxy(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(xr,xm),xp)) ),
    inference(equality_proxy_replacement,[],[f215,f318]) ).

fof(f215,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp)
    | ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp)
    | ( ! [X0] :
          ( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0)
          | ~ aNaturalNumber0(X0) )
      & ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,negated_conjecture,
    ~ ( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp)
      & ( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ? [X0] :
            ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0)
            & aNaturalNumber0(X0) ) ) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f46,conjecture,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp)
    & ( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ? [X0] :
          ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0)
          & aNaturalNumber0(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NUM494+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % 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 : n010.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 06:38:14 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.53  % (2450)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)
% 0.20/0.53  % (2434)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)
% 0.20/0.54  % (2452)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)
% 1.39/0.55  % (2436)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)
% 1.39/0.55  % (2443)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)
% 1.39/0.56  % (2433)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)
% 1.39/0.56  % (2443)Instruction limit reached!
% 1.39/0.56  % (2443)------------------------------
% 1.39/0.56  % (2443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56  % (2443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56  % (2443)Termination reason: Unknown
% 1.39/0.56  % (2443)Termination phase: Saturation
% 1.39/0.56  
% 1.39/0.56  % (2443)Memory used [KB]: 6140
% 1.39/0.56  % (2443)Time elapsed: 0.013 s
% 1.39/0.56  % (2443)Instructions burned: 7 (million)
% 1.39/0.56  % (2443)------------------------------
% 1.39/0.56  % (2443)------------------------------
% 1.39/0.56  % (2442)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)
% 1.39/0.56  % (2432)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)
% 1.39/0.56  % (2442)Instruction limit reached!
% 1.39/0.56  % (2442)------------------------------
% 1.39/0.56  % (2442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56  % (2442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56  % (2442)Termination reason: Unknown
% 1.39/0.56  % (2442)Termination phase: Preprocessing 3
% 1.39/0.56  
% 1.39/0.56  % (2442)Memory used [KB]: 1535
% 1.39/0.56  % (2442)Time elapsed: 0.004 s
% 1.39/0.56  % (2442)Instructions burned: 3 (million)
% 1.39/0.56  % (2442)------------------------------
% 1.39/0.56  % (2442)------------------------------
% 1.69/0.58  % (2430)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)
% 1.69/0.58  % (2430)Instruction limit reached!
% 1.69/0.58  % (2430)------------------------------
% 1.69/0.58  % (2430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58  % (2430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58  % (2430)Termination reason: Unknown
% 1.69/0.58  % (2430)Termination phase: Property scanning
% 1.69/0.58  
% 1.69/0.58  % (2430)Memory used [KB]: 1535
% 1.69/0.58  % (2430)Time elapsed: 0.004 s
% 1.69/0.58  % (2430)Instructions burned: 4 (million)
% 1.69/0.58  % (2430)------------------------------
% 1.69/0.58  % (2430)------------------------------
% 1.69/0.58  % (2431)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)
% 1.69/0.59  % (2428)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.69/0.59  % (2458)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)
% 1.69/0.59  % (2432)Instruction limit reached!
% 1.69/0.59  % (2432)------------------------------
% 1.69/0.59  % (2432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59  % (2432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59  % (2432)Termination reason: Unknown
% 1.69/0.59  % (2432)Termination phase: Saturation
% 1.69/0.59  
% 1.69/0.59  % (2432)Memory used [KB]: 6012
% 1.69/0.59  % (2432)Time elapsed: 0.010 s
% 1.69/0.59  % (2432)Instructions burned: 13 (million)
% 1.69/0.59  % (2432)------------------------------
% 1.69/0.59  % (2432)------------------------------
% 1.69/0.60  % (2457)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)
% 1.69/0.60  % (2449)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)
% 1.69/0.60  % (2453)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)
% 1.69/0.61  % (2434)Instruction limit reached!
% 1.69/0.61  % (2434)------------------------------
% 1.69/0.61  % (2434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61  % (2434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61  % (2434)Termination reason: Unknown
% 1.69/0.61  % (2434)Termination phase: Saturation
% 1.69/0.61  
% 1.69/0.61  % (2434)Memory used [KB]: 6396
% 1.69/0.61  % (2434)Time elapsed: 0.167 s
% 1.69/0.61  % (2434)Instructions burned: 39 (million)
% 1.69/0.61  % (2434)------------------------------
% 1.69/0.61  % (2434)------------------------------
% 1.69/0.61  % (2456)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)
% 1.69/0.61  % (2454)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)
% 1.69/0.61  % (2440)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)
% 1.69/0.61  % (2433)Instruction limit reached!
% 1.69/0.61  % (2433)------------------------------
% 1.69/0.61  % (2433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61  % (2433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61  % (2433)Termination reason: Unknown
% 1.69/0.61  % (2433)Termination phase: Saturation
% 1.69/0.61  
% 1.69/0.61  % (2433)Memory used [KB]: 1791
% 1.69/0.61  % (2433)Time elapsed: 0.178 s
% 1.69/0.61  % (2433)Instructions burned: 15 (million)
% 1.69/0.61  % (2433)------------------------------
% 1.69/0.61  % (2433)------------------------------
% 1.69/0.61  % (2429)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)
% 1.69/0.61  % (2441)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)
% 1.69/0.61  % (2447)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)
% 1.69/0.62  % (2457)Instruction limit reached!
% 1.69/0.62  % (2457)------------------------------
% 1.69/0.62  % (2457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.62  % (2457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.62  % (2457)Termination reason: Unknown
% 1.69/0.62  % (2457)Termination phase: Saturation
% 1.69/0.62  
% 1.69/0.62  % (2457)Memory used [KB]: 1663
% 1.69/0.62  % (2457)Time elapsed: 0.007 s
% 1.69/0.62  % (2457)Instructions burned: 8 (million)
% 1.69/0.62  % (2457)------------------------------
% 1.69/0.62  % (2457)------------------------------
% 1.69/0.62  % (2448)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)
% 1.69/0.62  % (2435)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)
% 1.69/0.62  % (2445)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.69/0.62  % (2439)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)
% 1.69/0.62  % (2445)Instruction limit reached!
% 1.69/0.62  % (2445)------------------------------
% 1.69/0.62  % (2445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.62  % (2445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.62  % (2445)Termination reason: Unknown
% 1.69/0.62  % (2445)Termination phase: Preprocessing 3
% 1.69/0.62  
% 1.69/0.62  % (2445)Memory used [KB]: 1535
% 1.69/0.62  % (2445)Time elapsed: 0.005 s
% 1.69/0.62  % (2445)Instructions burned: 4 (million)
% 1.69/0.62  % (2445)------------------------------
% 1.69/0.62  % (2445)------------------------------
% 1.69/0.62  % (2444)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)
% 1.69/0.62  % (2437)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)
% 1.69/0.62  % (2455)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)
% 1.69/0.63  % (2439)Instruction limit reached!
% 1.69/0.63  % (2439)------------------------------
% 1.69/0.63  % (2439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.63  % (2439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.63  % (2439)Termination reason: Unknown
% 1.69/0.63  % (2439)Termination phase: Saturation
% 1.69/0.63  
% 1.69/0.63  % (2439)Memory used [KB]: 6140
% 1.69/0.63  % (2439)Time elapsed: 0.006 s
% 1.69/0.63  % (2439)Instructions burned: 7 (million)
% 1.69/0.63  % (2439)------------------------------
% 1.69/0.63  % (2439)------------------------------
% 1.69/0.63  % (2446)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)
% 1.69/0.63  % (2446)Instruction limit reached!
% 1.69/0.63  % (2446)------------------------------
% 1.69/0.63  % (2446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.63  % (2446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.63  % (2446)Termination reason: Unknown
% 1.69/0.63  % (2446)Termination phase: Preprocessing 2
% 1.69/0.63  
% 1.69/0.63  % (2446)Memory used [KB]: 1407
% 1.69/0.63  % (2446)Time elapsed: 0.003 s
% 1.69/0.63  % (2446)Instructions burned: 2 (million)
% 1.69/0.63  % (2446)------------------------------
% 1.69/0.63  % (2446)------------------------------
% 1.69/0.63  % (2438)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)
% 1.69/0.63  % (2429)Instruction limit reached!
% 1.69/0.63  % (2429)------------------------------
% 1.69/0.63  % (2429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.64  % (2452)Instruction limit reached!
% 1.69/0.64  % (2452)------------------------------
% 1.69/0.64  % (2452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.64  % (2452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.64  % (2452)Termination reason: Unknown
% 1.69/0.64  % (2452)Termination phase: Saturation
% 1.69/0.64  
% 1.69/0.64  % (2452)Memory used [KB]: 2558
% 1.69/0.64  % (2452)Time elapsed: 0.144 s
% 1.69/0.64  % (2452)Instructions burned: 46 (million)
% 1.69/0.64  % (2452)------------------------------
% 1.69/0.64  % (2452)------------------------------
% 1.69/0.64  % (2429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.64  % (2429)Termination reason: Unknown
% 1.69/0.64  % (2429)Termination phase: Saturation
% 1.69/0.64  
% 1.69/0.64  % (2429)Memory used [KB]: 6268
% 1.69/0.64  % (2429)Time elapsed: 0.199 s
% 1.69/0.64  % (2429)Instructions burned: 13 (million)
% 1.69/0.64  % (2429)------------------------------
% 1.69/0.64  % (2429)------------------------------
% 1.69/0.64  % (2447)Instruction limit reached!
% 1.69/0.64  % (2447)------------------------------
% 1.69/0.64  % (2447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.64  % (2447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.64  % (2447)Termination reason: Unknown
% 1.69/0.64  % (2447)Termination phase: Saturation
% 1.69/0.64  
% 1.69/0.64  % (2447)Memory used [KB]: 6268
% 1.69/0.64  % (2447)Time elapsed: 0.201 s
% 1.69/0.64  % (2447)Instructions burned: 12 (million)
% 1.69/0.64  % (2447)------------------------------
% 1.69/0.64  % (2447)------------------------------
% 1.69/0.65  % (2458)Instruction limit reached!
% 1.69/0.65  % (2458)------------------------------
% 1.69/0.65  % (2458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.65  % (2458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.65  % (2458)Termination reason: Unknown
% 1.69/0.65  % (2458)Termination phase: Saturation
% 1.69/0.65  
% 1.69/0.65  % (2458)Memory used [KB]: 6140
% 1.69/0.65  % (2458)Time elapsed: 0.020 s
% 1.69/0.65  % (2458)Instructions burned: 25 (million)
% 1.69/0.65  % (2458)------------------------------
% 1.69/0.65  % (2458)------------------------------
% 1.69/0.65  % (2440)Instruction limit reached!
% 1.69/0.65  % (2440)------------------------------
% 1.69/0.65  % (2440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.65  % (2440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.65  % (2440)Termination reason: Unknown
% 1.69/0.65  % (2440)Termination phase: Saturation
% 1.69/0.65  
% 1.69/0.65  % (2440)Memory used [KB]: 1791
% 1.69/0.65  % (2440)Time elapsed: 0.215 s
% 1.69/0.65  % (2440)Instructions burned: 17 (million)
% 1.69/0.65  % (2440)------------------------------
% 1.69/0.65  % (2440)------------------------------
% 2.29/0.65  % (2436)Instruction limit reached!
% 2.29/0.65  % (2436)------------------------------
% 2.29/0.65  % (2436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.65  % (2436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.65  % (2436)Termination reason: Unknown
% 2.29/0.65  % (2436)Termination phase: Saturation
% 2.29/0.65  
% 2.29/0.65  % (2436)Memory used [KB]: 7036
% 2.29/0.65  % (2436)Time elapsed: 0.118 s
% 2.29/0.65  % (2436)Instructions burned: 50 (million)
% 2.29/0.65  % (2436)------------------------------
% 2.29/0.65  % (2436)------------------------------
% 2.29/0.65  % (2438)Instruction limit reached!
% 2.29/0.65  % (2438)------------------------------
% 2.29/0.65  % (2438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.65  % (2438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.65  % (2438)Termination reason: Unknown
% 2.29/0.65  % (2438)Termination phase: Saturation
% 2.29/0.65  
% 2.29/0.65  % (2438)Memory used [KB]: 6268
% 2.29/0.65  % (2438)Time elapsed: 0.231 s
% 2.29/0.65  % (2438)Instructions burned: 12 (million)
% 2.29/0.65  % (2438)------------------------------
% 2.29/0.65  % (2438)------------------------------
% 2.29/0.66  % (2456)Instruction limit reached!
% 2.29/0.66  % (2456)------------------------------
% 2.29/0.66  % (2456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.66  % (2456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.66  % (2456)Termination reason: Unknown
% 2.29/0.66  % (2456)Termination phase: Saturation
% 2.29/0.66  
% 2.29/0.66  % (2456)Memory used [KB]: 6652
% 2.29/0.66  % (2456)Time elapsed: 0.229 s
% 2.29/0.66  % (2456)Instructions burned: 26 (million)
% 2.29/0.66  % (2456)------------------------------
% 2.29/0.66  % (2456)------------------------------
% 2.42/0.68  % (2450)Instruction limit reached!
% 2.42/0.68  % (2450)------------------------------
% 2.42/0.68  % (2450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.69  % (2450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.69  % (2450)Termination reason: Unknown
% 2.42/0.69  % (2450)Termination phase: Saturation
% 2.42/0.69  
% 2.42/0.69  % (2450)Memory used [KB]: 7675
% 2.42/0.69  % (2450)Time elapsed: 0.269 s
% 2.42/0.69  % (2450)Instructions burned: 82 (million)
% 2.42/0.69  % (2450)------------------------------
% 2.42/0.69  % (2450)------------------------------
% 2.42/0.70  % (2431)Instruction limit reached!
% 2.42/0.70  % (2431)------------------------------
% 2.42/0.70  % (2431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.70  % (2431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.70  % (2431)Termination reason: Unknown
% 2.42/0.70  % (2431)Termination phase: Saturation
% 2.42/0.70  
% 2.42/0.70  % (2431)Memory used [KB]: 6908
% 2.42/0.70  % (2431)Time elapsed: 0.276 s
% 2.42/0.70  % (2431)Instructions burned: 51 (million)
% 2.42/0.70  % (2431)------------------------------
% 2.42/0.70  % (2431)------------------------------
% 2.42/0.71  % (2448)Instruction limit reached!
% 2.42/0.71  % (2448)------------------------------
% 2.42/0.71  % (2448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.71  % (2448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.71  % (2448)Termination reason: Unknown
% 2.42/0.71  % (2448)Termination phase: Saturation
% 2.42/0.71  
% 2.42/0.71  % (2448)Memory used [KB]: 6524
% 2.42/0.71  % (2448)Time elapsed: 0.270 s
% 2.42/0.71  % (2448)Instructions burned: 30 (million)
% 2.42/0.71  % (2448)------------------------------
% 2.42/0.71  % (2448)------------------------------
% 2.42/0.71  % (2437)Instruction limit reached!
% 2.42/0.71  % (2437)------------------------------
% 2.42/0.71  % (2437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.71  % (2437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.71  % (2437)Termination reason: Unknown
% 2.42/0.71  % (2437)Termination phase: Saturation
% 2.42/0.71  
% 2.42/0.71  % (2437)Memory used [KB]: 6652
% 2.42/0.71  % (2437)Time elapsed: 0.288 s
% 2.42/0.71  % (2437)Instructions burned: 33 (million)
% 2.42/0.71  % (2437)------------------------------
% 2.42/0.71  % (2437)------------------------------
% 2.61/0.73  % (2435)Refutation not found, non-redundant clauses discarded% (2435)------------------------------
% 2.61/0.73  % (2435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.73  % (2441)Instruction limit reached!
% 2.61/0.73  % (2441)------------------------------
% 2.61/0.73  % (2441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.73  % (2441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.73  % (2441)Termination reason: Unknown
% 2.61/0.73  % (2441)Termination phase: Saturation
% 2.61/0.73  
% 2.61/0.73  % (2441)Memory used [KB]: 7291
% 2.61/0.73  % (2441)Time elapsed: 0.311 s
% 2.61/0.73  % (2441)Instructions burned: 51 (million)
% 2.61/0.73  % (2441)------------------------------
% 2.61/0.73  % (2441)------------------------------
% 2.61/0.73  % (2444)Instruction limit reached!
% 2.61/0.73  % (2444)------------------------------
% 2.61/0.73  % (2444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.73  % (2444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.73  % (2444)Termination reason: Unknown
% 2.61/0.73  % (2444)Termination phase: Saturation
% 2.61/0.73  
% 2.61/0.73  % (2444)Memory used [KB]: 6396
% 2.61/0.73  % (2444)Time elapsed: 0.297 s
% 2.61/0.73  % (2444)Instructions burned: 50 (million)
% 2.61/0.73  % (2444)------------------------------
% 2.61/0.73  % (2444)------------------------------
% 2.61/0.73  % (2435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.73  % (2435)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.61/0.73  
% 2.61/0.73  % (2435)Memory used [KB]: 6652
% 2.61/0.73  % (2435)Time elapsed: 0.300 s
% 2.61/0.73  % (2435)Instructions burned: 38 (million)
% 2.61/0.73  % (2435)------------------------------
% 2.61/0.73  % (2435)------------------------------
% 2.61/0.73  % (2453)Instruction limit reached!
% 2.61/0.73  % (2453)------------------------------
% 2.61/0.73  % (2453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.73  % (2453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.73  % (2453)Termination reason: Unknown
% 2.61/0.73  % (2453)Termination phase: Saturation
% 2.61/0.73  
% 2.61/0.73  % (2453)Memory used [KB]: 6908
% 2.61/0.73  % (2453)Time elapsed: 0.285 s
% 2.61/0.73  % (2453)Instructions burned: 51 (million)
% 2.61/0.73  % (2453)------------------------------
% 2.61/0.73  % (2453)------------------------------
% 2.66/0.76  % (2492)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 (2997ds/7Mi)
% 2.66/0.76  % (2492)Instruction limit reached!
% 2.66/0.76  % (2492)------------------------------
% 2.66/0.76  % (2492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.78  % (2492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.78  % (2492)Termination reason: Unknown
% 2.66/0.78  % (2492)Termination phase: Saturation
% 2.66/0.78  
% 2.66/0.78  % (2492)Memory used [KB]: 10618
% 2.66/0.78  % (2492)Time elapsed: 0.008 s
% 2.66/0.78  % (2492)Instructions burned: 7 (million)
% 2.66/0.78  % (2492)------------------------------
% 2.66/0.78  % (2492)------------------------------
% 2.66/0.79  % (2491)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 (2997ds/92Mi)
% 2.66/0.80  % (2494)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.81/0.82  % (2493)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 (2997ds/87Mi)
% 2.81/0.83  % (2455)Refutation not found, non-redundant clauses discarded% (2455)------------------------------
% 2.81/0.83  % (2455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.83  % (2455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.83  % (2455)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.81/0.83  
% 2.81/0.83  % (2455)Memory used [KB]: 6652
% 2.81/0.83  % (2455)Time elapsed: 0.408 s
% 2.81/0.83  % (2455)Instructions burned: 89 (million)
% 2.81/0.83  % (2455)------------------------------
% 2.81/0.83  % (2455)------------------------------
% 2.81/0.84  % (2496)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.81/0.85  % (2449)Instruction limit reached!
% 2.81/0.85  % (2449)------------------------------
% 2.81/0.85  % (2449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.85  % (2449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.85  % (2449)Termination reason: Unknown
% 2.81/0.85  % (2449)Termination phase: Saturation
% 2.81/0.85  
% 2.81/0.85  % (2449)Memory used [KB]: 7419
% 2.81/0.85  % (2449)Time elapsed: 0.346 s
% 2.81/0.85  % (2449)Instructions burned: 99 (million)
% 2.81/0.85  % (2449)------------------------------
% 2.81/0.85  % (2449)------------------------------
% 2.81/0.86  % (2507)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)
% 2.81/0.86  % (2499)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.81/0.86  % (2506)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.81/0.86  % (2498)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.81/0.87  % (2501)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)
% 2.87/0.87  % (2500)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)
% 2.87/0.87  % (2497)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 (2997ds/141Mi)
% 2.87/0.87  % (2495)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 (2997ds/107Mi)
% 2.87/0.88  % (2510)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/66Mi)
% 2.87/0.88  % (2454)Instruction limit reached!
% 2.87/0.88  % (2454)------------------------------
% 2.87/0.88  % (2454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.88  % (2454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.88  % (2454)Termination reason: Unknown
% 2.87/0.88  % (2454)Termination phase: Saturation
% 2.87/0.88  
% 2.87/0.88  % (2454)Memory used [KB]: 7675
% 2.87/0.88  % (2454)Time elapsed: 0.458 s
% 2.87/0.88  % (2454)Instructions burned: 96 (million)
% 2.87/0.88  % (2454)------------------------------
% 2.87/0.88  % (2454)------------------------------
% 2.87/0.88  % (2506)Instruction limit reached!
% 2.87/0.88  % (2506)------------------------------
% 2.87/0.88  % (2506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.88  % (2504)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)
% 2.87/0.88  % (2503)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)
% 2.87/0.89  % (2502)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)
% 2.87/0.89  % (2499)First to succeed.
% 2.87/0.89  % (2517)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/472Mi)
% 2.87/0.89  % (2505)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)
% 2.87/0.90  % (2506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.90  % (2506)Termination reason: Unknown
% 2.87/0.90  % (2506)Termination phase: Saturation
% 2.87/0.90  
% 2.87/0.90  % (2506)Memory used [KB]: 6268
% 2.87/0.90  % (2506)Time elapsed: 0.162 s
% 2.87/0.90  % (2506)Instructions burned: 15 (million)
% 2.87/0.90  % (2506)------------------------------
% 2.87/0.90  % (2506)------------------------------
% 2.87/0.90  % (2519)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/97Mi)
% 2.87/0.91  % (2518)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 2.87/0.92  % (2499)Refutation found. Thanks to Tanya!
% 2.87/0.92  % SZS status Theorem for theBenchmark
% 2.87/0.92  % SZS output start Proof for theBenchmark
% See solution above
% 2.87/0.92  % (2499)------------------------------
% 2.87/0.92  % (2499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.92  % (2499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.92  % (2499)Termination reason: Refutation
% 2.87/0.92  
% 2.87/0.92  % (2499)Memory used [KB]: 6396
% 2.87/0.92  % (2499)Time elapsed: 0.212 s
% 2.87/0.92  % (2499)Instructions burned: 14 (million)
% 2.87/0.92  % (2499)------------------------------
% 2.87/0.92  % (2499)------------------------------
% 2.87/0.92  % (2427)Success in time 0.568 s
%------------------------------------------------------------------------------