TSTP Solution File: NUM590+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM590+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n021.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 18:00:58 EDT 2022

% Result   : Theorem 2.24s 0.65s
% Output   : Refutation 2.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  121 (  14 unt;   0 def)
%            Number of atoms       :  489 (  63 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  614 ( 246   ~; 243   |;  92   &)
%                                         (  21 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  16 usr;   8 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :  165 ( 153   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1929,plain,
    $false,
    inference(avatar_sat_refutation,[],[f845,f865,f1448,f1461,f1496,f1574,f1712,f1928]) ).

fof(f1928,plain,
    ( ~ spl25_10
    | ~ spl25_48 ),
    inference(avatar_contradiction_clause,[],[f1927]) ).

fof(f1927,plain,
    ( $false
    | ~ spl25_10
    | ~ spl25_48 ),
    inference(subsumption_resolution,[],[f1926,f324]) ).

fof(f324,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ( isCountable0(szNzAzT0)
    & aSet0(szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).

fof(f1926,plain,
    ( ~ aSet0(szNzAzT0)
    | ~ spl25_10
    | ~ spl25_48 ),
    inference(subsumption_resolution,[],[f1925,f840]) ).

fof(f840,plain,
    ( aSet0(xY)
    | ~ spl25_10 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f838,plain,
    ( spl25_10
  <=> aSet0(xY) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_10])]) ).

fof(f1925,plain,
    ( ~ aSet0(xY)
    | ~ aSet0(szNzAzT0)
    | ~ spl25_48 ),
    inference(subsumption_resolution,[],[f1924,f357]) ).

fof(f357,plain,
    ~ aSubsetOf0(xY,szNzAzT0),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ~ aSubsetOf0(xY,szNzAzT0),
    inference(flattening,[],[f93]) ).

fof(f93,negated_conjecture,
    ~ aSubsetOf0(xY,szNzAzT0),
    inference(negated_conjecture,[],[f92]) ).

fof(f92,conjecture,
    aSubsetOf0(xY,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f1924,plain,
    ( aSubsetOf0(xY,szNzAzT0)
    | ~ aSet0(szNzAzT0)
    | ~ aSet0(xY)
    | ~ spl25_48 ),
    inference(duplicate_literal_removal,[],[f1923]) ).

fof(f1923,plain,
    ( aSubsetOf0(xY,szNzAzT0)
    | aSubsetOf0(xY,szNzAzT0)
    | ~ aSet0(szNzAzT0)
    | ~ aSet0(xY)
    | ~ aSet0(xY)
    | ~ spl25_48 ),
    inference(resolution,[],[f1634,f328]) ).

fof(f328,plain,
    ! [X0,X1] :
      ( aElementOf0(sK4(X0,X1),X1)
      | ~ aSet0(X1)
      | ~ aSet0(X0)
      | aSubsetOf0(X1,X0) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f240,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ~ aSet0(X1)
            | ( ~ aElementOf0(sK4(X0,X1),X0)
              & aElementOf0(sK4(X0,X1),X1) ) )
          & ( ( aSet0(X1)
              & ! [X3] :
                  ( aElementOf0(X3,X0)
                  | ~ aElementOf0(X3,X1) ) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f238,f239]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,X0)
          & aElementOf0(X2,X1) )
     => ( ~ aElementOf0(sK4(X0,X1),X0)
        & aElementOf0(sK4(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f238,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ~ aSet0(X1)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) ) )
          & ( ( aSet0(X1)
              & ! [X3] :
                  ( aElementOf0(X3,X0)
                  | ~ aElementOf0(X3,X1) ) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(rectify,[],[f237]) ).

fof(f237,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ~ aSet0(X1)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) ) )
          & ( ( aSet0(X1)
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) ) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(flattening,[],[f236]) ).

fof(f236,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ~ aSet0(X1)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) ) )
          & ( ( aSet0(X1)
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) ) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f170]) ).

fof(f170,plain,
    ! [X0] :
      ( ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X0)
                | ~ aElementOf0(X2,X1) ) ) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

fof(f1634,plain,
    ( ! [X7] :
        ( ~ aElementOf0(sK4(szNzAzT0,X7),xY)
        | ~ aSet0(X7)
        | aSubsetOf0(X7,szNzAzT0) )
    | ~ spl25_48 ),
    inference(subsumption_resolution,[],[f1633,f324]) ).

fof(f1633,plain,
    ( ! [X7] :
        ( ~ aSet0(X7)
        | ~ aSet0(szNzAzT0)
        | aSubsetOf0(X7,szNzAzT0)
        | ~ aElementOf0(sK4(szNzAzT0,X7),xY) )
    | ~ spl25_48 ),
    inference(resolution,[],[f1625,f329]) ).

fof(f329,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(sK4(X0,X1),X0)
      | ~ aSet0(X0)
      | ~ aSet0(X1)
      | aSubsetOf0(X1,X0) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f1625,plain,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(X0,xY) )
    | ~ spl25_48 ),
    inference(subsumption_resolution,[],[f1621,f419]) ).

fof(f419,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,axiom,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4448) ).

fof(f1621,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,xY)
        | aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(xi,szNzAzT0) )
    | ~ spl25_48 ),
    inference(resolution,[],[f1515,f1082]) ).

fof(f1082,plain,
    ! [X6,X5] :
      ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X6))
      | ~ aElementOf0(X6,szNzAzT0)
      | aElementOf0(X5,szNzAzT0) ),
    inference(subsumption_resolution,[],[f1070,f324]) ).

fof(f1070,plain,
    ! [X6,X5] :
      ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X6))
      | ~ aSet0(szNzAzT0)
      | aElementOf0(X5,szNzAzT0)
      | ~ aElementOf0(X6,szNzAzT0) ),
    inference(resolution,[],[f326,f489]) ).

fof(f489,plain,
    ! [X0] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f215]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        & isCountable0(sdtlpdtrp0(xN,X0)) ) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        & isCountable0(sdtlpdtrp0(xN,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).

fof(f326,plain,
    ! [X3,X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | ~ aElementOf0(X3,X1)
      | ~ aSet0(X0)
      | aElementOf0(X3,X0) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f1515,plain,
    ( ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
        | ~ aElementOf0(X0,xY) )
    | ~ spl25_48 ),
    inference(avatar_component_clause,[],[f1514]) ).

fof(f1514,plain,
    ( spl25_48
  <=> ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
        | ~ aElementOf0(X0,xY) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_48])]) ).

fof(f1712,plain,
    ( spl25_48
    | ~ spl25_11 ),
    inference(avatar_split_clause,[],[f1711,f842,f1514]) ).

fof(f842,plain,
    ( spl25_11
  <=> sP3(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).

fof(f1711,plain,
    ( ! [X2] :
        ( ~ aElementOf0(X2,xY)
        | aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
    | ~ spl25_11 ),
    inference(subsumption_resolution,[],[f1706,f843]) ).

fof(f843,plain,
    ( sP3(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    | ~ spl25_11 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f1706,plain,
    ! [X2] :
      ( ~ aElementOf0(X2,xY)
      | aElementOf0(X2,sdtlpdtrp0(xN,xi))
      | ~ sP3(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(superposition,[],[f970,f476]) ).

fof(f476,plain,
    xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,axiom,
    ( xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
    & xd = sdtlpdtrp0(xC,xi) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4448_02) ).

fof(f970,plain,
    ! [X2,X0,X1] :
      ( ~ aElementOf0(X0,sdtmndt0(X1,X2))
      | ~ sP3(X2,X1)
      | aElementOf0(X0,X1) ),
    inference(resolution,[],[f465,f537]) ).

fof(f537,plain,
    ! [X0,X1] :
      ( sP2(sdtmndt0(X1,X0),X1,X0)
      | ~ sP3(X0,X1) ),
    inference(equality_resolution,[],[f462]) ).

fof(f462,plain,
    ! [X2,X0,X1] :
      ( sP2(X2,X1,X0)
      | sdtmndt0(X1,X0) != X2
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f306]) ).

fof(f306,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sP2(X2,X1,X0)
            | sdtmndt0(X1,X0) != X2 )
          & ( sdtmndt0(X1,X0) = X2
            | ~ sP2(X2,X1,X0) ) )
      | ~ sP3(X0,X1) ),
    inference(rectify,[],[f305]) ).

fof(f305,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ( sP2(X2,X0,X1)
            | sdtmndt0(X0,X1) != X2 )
          & ( sdtmndt0(X0,X1) = X2
            | ~ sP2(X2,X0,X1) ) )
      | ~ sP3(X1,X0) ),
    inference(nnf_transformation,[],[f234]) ).

fof(f234,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( sP2(X2,X0,X1)
        <=> sdtmndt0(X0,X1) = X2 )
      | ~ sP3(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f465,plain,
    ! [X2,X0,X1,X4] :
      ( ~ sP2(X0,X1,X2)
      | aElementOf0(X4,X1)
      | ~ aElementOf0(X4,X0) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f311,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | ~ aSet0(X0)
        | ( ( ~ aElementOf0(sK21(X0,X1,X2),X0)
            | ~ aElement0(sK21(X0,X1,X2))
            | ~ aElementOf0(sK21(X0,X1,X2),X1)
            | sK21(X0,X1,X2) = X2 )
          & ( aElementOf0(sK21(X0,X1,X2),X0)
            | ( aElement0(sK21(X0,X1,X2))
              & aElementOf0(sK21(X0,X1,X2),X1)
              & sK21(X0,X1,X2) != X2 ) ) ) )
      & ( ( aSet0(X0)
          & ! [X4] :
              ( ( ( aElement0(X4)
                  & aElementOf0(X4,X1)
                  & X2 != X4 )
                | ~ aElementOf0(X4,X0) )
              & ( aElementOf0(X4,X0)
                | ~ aElement0(X4)
                | ~ aElementOf0(X4,X1)
                | X2 = X4 ) ) )
        | ~ sP2(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f309,f310]) ).

fof(f310,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ aElementOf0(X3,X0)
            | ~ aElement0(X3)
            | ~ aElementOf0(X3,X1)
            | X2 = X3 )
          & ( aElementOf0(X3,X0)
            | ( aElement0(X3)
              & aElementOf0(X3,X1)
              & X2 != X3 ) ) )
     => ( ( ~ aElementOf0(sK21(X0,X1,X2),X0)
          | ~ aElement0(sK21(X0,X1,X2))
          | ~ aElementOf0(sK21(X0,X1,X2),X1)
          | sK21(X0,X1,X2) = X2 )
        & ( aElementOf0(sK21(X0,X1,X2),X0)
          | ( aElement0(sK21(X0,X1,X2))
            & aElementOf0(sK21(X0,X1,X2),X1)
            & sK21(X0,X1,X2) != X2 ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f309,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | ~ aSet0(X0)
        | ? [X3] :
            ( ( ~ aElementOf0(X3,X0)
              | ~ aElement0(X3)
              | ~ aElementOf0(X3,X1)
              | X2 = X3 )
            & ( aElementOf0(X3,X0)
              | ( aElement0(X3)
                & aElementOf0(X3,X1)
                & X2 != X3 ) ) ) )
      & ( ( aSet0(X0)
          & ! [X4] :
              ( ( ( aElement0(X4)
                  & aElementOf0(X4,X1)
                  & X2 != X4 )
                | ~ aElementOf0(X4,X0) )
              & ( aElementOf0(X4,X0)
                | ~ aElement0(X4)
                | ~ aElementOf0(X4,X1)
                | X2 = X4 ) ) )
        | ~ sP2(X0,X1,X2) ) ),
    inference(rectify,[],[f308]) ).

fof(f308,plain,
    ! [X2,X0,X1] :
      ( ( sP2(X2,X0,X1)
        | ~ aSet0(X2)
        | ? [X3] :
            ( ( ~ aElementOf0(X3,X2)
              | ~ aElement0(X3)
              | ~ aElementOf0(X3,X0)
              | X1 = X3 )
            & ( aElementOf0(X3,X2)
              | ( aElement0(X3)
                & aElementOf0(X3,X0)
                & X1 != X3 ) ) ) )
      & ( ( aSet0(X2)
          & ! [X3] :
              ( ( ( aElement0(X3)
                  & aElementOf0(X3,X0)
                  & X1 != X3 )
                | ~ aElementOf0(X3,X2) )
              & ( aElementOf0(X3,X2)
                | ~ aElement0(X3)
                | ~ aElementOf0(X3,X0)
                | X1 = X3 ) ) )
        | ~ sP2(X2,X0,X1) ) ),
    inference(flattening,[],[f307]) ).

fof(f307,plain,
    ! [X2,X0,X1] :
      ( ( sP2(X2,X0,X1)
        | ~ aSet0(X2)
        | ? [X3] :
            ( ( ~ aElementOf0(X3,X2)
              | ~ aElement0(X3)
              | ~ aElementOf0(X3,X0)
              | X1 = X3 )
            & ( aElementOf0(X3,X2)
              | ( aElement0(X3)
                & aElementOf0(X3,X0)
                & X1 != X3 ) ) ) )
      & ( ( aSet0(X2)
          & ! [X3] :
              ( ( ( aElement0(X3)
                  & aElementOf0(X3,X0)
                  & X1 != X3 )
                | ~ aElementOf0(X3,X2) )
              & ( aElementOf0(X3,X2)
                | ~ aElement0(X3)
                | ~ aElementOf0(X3,X0)
                | X1 = X3 ) ) )
        | ~ sP2(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f233]) ).

fof(f233,plain,
    ! [X2,X0,X1] :
      ( sP2(X2,X0,X1)
    <=> ( aSet0(X2)
        & ! [X3] :
            ( ( aElement0(X3)
              & aElementOf0(X3,X0)
              & X1 != X3 )
          <=> aElementOf0(X3,X2) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f1574,plain,
    ( spl25_14
    | ~ spl25_15
    | spl25_42
    | ~ spl25_43 ),
    inference(avatar_split_clause,[],[f1573,f1455,f1451,f862,f858]) ).

fof(f858,plain,
    ( spl25_14
  <=> aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_14])]) ).

fof(f862,plain,
    ( spl25_15
  <=> aSet0(sdtlpdtrp0(xN,xi)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_15])]) ).

fof(f1451,plain,
    ( spl25_42
  <=> slcrc0 = sdtlpdtrp0(xN,xi) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_42])]) ).

fof(f1455,plain,
    ( spl25_43
  <=> aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_43])]) ).

fof(f1573,plain,
    ( aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | ~ spl25_15
    | spl25_42
    | ~ spl25_43 ),
    inference(subsumption_resolution,[],[f1572,f1452]) ).

fof(f1452,plain,
    ( slcrc0 != sdtlpdtrp0(xN,xi)
    | spl25_42 ),
    inference(avatar_component_clause,[],[f1451]) ).

fof(f1572,plain,
    ( slcrc0 = sdtlpdtrp0(xN,xi)
    | aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | ~ spl25_15
    | ~ spl25_43 ),
    inference(subsumption_resolution,[],[f1565,f863]) ).

fof(f863,plain,
    ( aSet0(sdtlpdtrp0(xN,xi))
    | ~ spl25_15 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f1565,plain,
    ( ~ aSet0(sdtlpdtrp0(xN,xi))
    | slcrc0 = sdtlpdtrp0(xN,xi)
    | aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | ~ spl25_43 ),
    inference(resolution,[],[f1456,f971]) ).

fof(f971,plain,
    ! [X0] :
      ( ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0
      | ~ aSet0(X0)
      | aElement0(szmzizndt0(X0)) ),
    inference(resolution,[],[f508,f477]) ).

fof(f477,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | ~ aSet0(X0)
      | aElement0(X1) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

fof(f508,plain,
    ! [X0] :
      ( aElementOf0(szmzizndt0(X0),X0)
      | slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(equality_resolution,[],[f352]) ).

fof(f352,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0
      | aElementOf0(X1,X0)
      | szmzizndt0(X0) != X1 ),
    inference(cnf_transformation,[],[f256]) ).

fof(f256,plain,
    ! [X0] :
      ( ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0
      | ! [X1] :
          ( ( szmzizndt0(X0) = X1
            | ~ aElementOf0(X1,X0)
            | ( aElementOf0(sK7(X0,X1),X0)
              & ~ sdtlseqdt0(X1,sK7(X0,X1)) ) )
          & ( ( aElementOf0(X1,X0)
              & ! [X3] :
                  ( ~ aElementOf0(X3,X0)
                  | sdtlseqdt0(X1,X3) ) )
            | szmzizndt0(X0) != X1 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f254,f255]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( aElementOf0(X2,X0)
          & ~ sdtlseqdt0(X1,X2) )
     => ( aElementOf0(sK7(X0,X1),X0)
        & ~ sdtlseqdt0(X1,sK7(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f254,plain,
    ! [X0] :
      ( ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0
      | ! [X1] :
          ( ( szmzizndt0(X0) = X1
            | ~ aElementOf0(X1,X0)
            | ? [X2] :
                ( aElementOf0(X2,X0)
                & ~ sdtlseqdt0(X1,X2) ) )
          & ( ( aElementOf0(X1,X0)
              & ! [X3] :
                  ( ~ aElementOf0(X3,X0)
                  | sdtlseqdt0(X1,X3) ) )
            | szmzizndt0(X0) != X1 ) ) ),
    inference(rectify,[],[f253]) ).

fof(f253,plain,
    ! [X0] :
      ( ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0
      | ! [X1] :
          ( ( szmzizndt0(X0) = X1
            | ~ aElementOf0(X1,X0)
            | ? [X2] :
                ( aElementOf0(X2,X0)
                & ~ sdtlseqdt0(X1,X2) ) )
          & ( ( aElementOf0(X1,X0)
              & ! [X2] :
                  ( ~ aElementOf0(X2,X0)
                  | sdtlseqdt0(X1,X2) ) )
            | szmzizndt0(X0) != X1 ) ) ),
    inference(flattening,[],[f252]) ).

fof(f252,plain,
    ! [X0] :
      ( ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0
      | ! [X1] :
          ( ( szmzizndt0(X0) = X1
            | ~ aElementOf0(X1,X0)
            | ? [X2] :
                ( aElementOf0(X2,X0)
                & ~ sdtlseqdt0(X1,X2) ) )
          & ( ( aElementOf0(X1,X0)
              & ! [X2] :
                  ( ~ aElementOf0(X2,X0)
                  | sdtlseqdt0(X1,X2) ) )
            | szmzizndt0(X0) != X1 ) ) ),
    inference(nnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0
      | ! [X1] :
          ( szmzizndt0(X0) = X1
        <=> ( aElementOf0(X1,X0)
            & ! [X2] :
                ( ~ aElementOf0(X2,X0)
                | sdtlseqdt0(X1,X2) ) ) ) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( szmzizndt0(X0) = X1
        <=> ( aElementOf0(X1,X0)
            & ! [X2] :
                ( ~ aElementOf0(X2,X0)
                | sdtlseqdt0(X1,X2) ) ) )
      | ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0 ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ! [X0] :
      ( ( aSubsetOf0(X0,szNzAzT0)
        & slcrc0 != X0 )
     => ! [X1] :
          ( ( ! [X2] :
                ( aElementOf0(X2,X0)
               => sdtlseqdt0(X1,X2) )
            & aElementOf0(X1,X0) )
        <=> szmzizndt0(X0) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).

fof(f1456,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    | ~ spl25_43 ),
    inference(avatar_component_clause,[],[f1455]) ).

fof(f1496,plain,
    ~ spl25_42,
    inference(avatar_contradiction_clause,[],[f1495]) ).

fof(f1495,plain,
    ( $false
    | ~ spl25_42 ),
    inference(subsumption_resolution,[],[f1494,f373]) ).

fof(f373,plain,
    isFinite0(slcrc0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    isFinite0(slcrc0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).

fof(f1494,plain,
    ( ~ isFinite0(slcrc0)
    | ~ spl25_42 ),
    inference(subsumption_resolution,[],[f1488,f419]) ).

fof(f1488,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | ~ isFinite0(slcrc0)
    | ~ spl25_42 ),
    inference(superposition,[],[f1247,f1453]) ).

fof(f1453,plain,
    ( slcrc0 = sdtlpdtrp0(xN,xi)
    | ~ spl25_42 ),
    inference(avatar_component_clause,[],[f1451]) ).

fof(f1247,plain,
    ! [X0] :
      ( ~ isFinite0(sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(subsumption_resolution,[],[f581,f621]) ).

fof(f621,plain,
    ! [X0] :
      ( aSet0(sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(subsumption_resolution,[],[f619,f324]) ).

fof(f619,plain,
    ! [X0] :
      ( aSet0(sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aSet0(szNzAzT0) ),
    inference(resolution,[],[f489,f327]) ).

fof(f327,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | ~ aSet0(X0)
      | aSet0(X1) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f581,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ~ isFinite0(sdtlpdtrp0(xN,X0))
      | ~ aSet0(sdtlpdtrp0(xN,X0)) ),
    inference(resolution,[],[f488,f431]) ).

fof(f431,plain,
    ! [X0] :
      ( ~ isCountable0(X0)
      | ~ aSet0(X0)
      | ~ isFinite0(X0) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ~ isFinite0(X0)
      | ~ isCountable0(X0) ),
    inference(flattening,[],[f182]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ isFinite0(X0)
      | ~ isCountable0(X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ( isCountable0(X0)
        & aSet0(X0) )
     => ~ isFinite0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).

fof(f488,plain,
    ! [X0] :
      ( isCountable0(sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f215]) ).

fof(f1461,plain,
    spl25_43,
    inference(avatar_contradiction_clause,[],[f1460]) ).

fof(f1460,plain,
    ( $false
    | spl25_43 ),
    inference(subsumption_resolution,[],[f1459,f419]) ).

fof(f1459,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | spl25_43 ),
    inference(resolution,[],[f1457,f489]) ).

fof(f1457,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    | spl25_43 ),
    inference(avatar_component_clause,[],[f1455]) ).

fof(f1448,plain,
    spl25_15,
    inference(avatar_contradiction_clause,[],[f1447]) ).

fof(f1447,plain,
    ( $false
    | spl25_15 ),
    inference(subsumption_resolution,[],[f1446,f419]) ).

fof(f1446,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | spl25_15 ),
    inference(resolution,[],[f864,f621]) ).

fof(f864,plain,
    ( ~ aSet0(sdtlpdtrp0(xN,xi))
    | spl25_15 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f865,plain,
    ( ~ spl25_14
    | ~ spl25_15
    | spl25_11 ),
    inference(avatar_split_clause,[],[f856,f842,f862,f858]) ).

fof(f856,plain,
    ( ~ aSet0(sdtlpdtrp0(xN,xi))
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | spl25_11 ),
    inference(resolution,[],[f844,f472]) ).

fof(f472,plain,
    ! [X0,X1] :
      ( sP3(X0,X1)
      | ~ aElement0(X0)
      | ~ aSet0(X1) ),
    inference(cnf_transformation,[],[f312]) ).

fof(f312,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | sP3(X0,X1)
      | ~ aSet0(X1) ),
    inference(rectify,[],[f235]) ).

fof(f235,plain,
    ! [X1,X0] :
      ( ~ aElement0(X1)
      | sP3(X1,X0)
      | ~ aSet0(X0) ),
    inference(definition_folding,[],[f202,f234,f233]) ).

fof(f202,plain,
    ! [X1,X0] :
      ( ~ aElement0(X1)
      | ! [X2] :
          ( ( aSet0(X2)
            & ! [X3] :
                ( ( aElement0(X3)
                  & aElementOf0(X3,X0)
                  & X1 != X3 )
              <=> aElementOf0(X3,X2) ) )
        <=> sdtmndt0(X0,X1) = X2 )
      | ~ aSet0(X0) ),
    inference(flattening,[],[f201]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( aSet0(X2)
            & ! [X3] :
                ( ( aElement0(X3)
                  & aElementOf0(X3,X0)
                  & X1 != X3 )
              <=> aElementOf0(X3,X2) ) )
        <=> sdtmndt0(X0,X1) = X2 )
      | ~ aElement0(X1)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aSet0(X0) )
     => ! [X2] :
          ( ( aSet0(X2)
            & ! [X3] :
                ( ( aElement0(X3)
                  & aElementOf0(X3,X0)
                  & X1 != X3 )
              <=> aElementOf0(X3,X2) ) )
        <=> sdtmndt0(X0,X1) = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).

fof(f844,plain,
    ( ~ sP3(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    | spl25_11 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f845,plain,
    ( spl25_10
    | ~ spl25_11 ),
    inference(avatar_split_clause,[],[f835,f842,f838]) ).

fof(f835,plain,
    ( ~ sP3(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    | aSet0(xY) ),
    inference(superposition,[],[f833,f476]) ).

fof(f833,plain,
    ! [X6,X5] :
      ( aSet0(sdtmndt0(X6,X5))
      | ~ sP3(X5,X6) ),
    inference(resolution,[],[f537,f467]) ).

fof(f467,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(X0,X1,X2)
      | aSet0(X0) ),
    inference(cnf_transformation,[],[f311]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : NUM590+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 07:10:40 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.46  % (26263)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)
% 0.19/0.46  % (26279)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)
% 0.19/0.47  % (26258)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)
% 0.19/0.47  % (26258)Instruction limit reached!
% 0.19/0.47  % (26258)------------------------------
% 0.19/0.47  % (26258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (26258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (26258)Termination reason: Unknown
% 0.19/0.47  % (26258)Termination phase: Preprocessing 3
% 0.19/0.47  
% 0.19/0.47  % (26258)Memory used [KB]: 1535
% 0.19/0.47  % (26258)Time elapsed: 0.004 s
% 0.19/0.47  % (26258)Instructions burned: 3 (million)
% 0.19/0.47  % (26258)------------------------------
% 0.19/0.47  % (26258)------------------------------
% 0.19/0.47  % (26284)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)
% 0.19/0.48  % (26271)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)
% 0.19/0.48  % (26271)Instruction limit reached!
% 0.19/0.48  % (26271)------------------------------
% 0.19/0.48  % (26271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (26271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (26271)Termination reason: Unknown
% 0.19/0.48  % (26271)Termination phase: Property scanning
% 0.19/0.48  
% 0.19/0.48  % (26271)Memory used [KB]: 1663
% 0.19/0.48  % (26271)Time elapsed: 0.004 s
% 0.19/0.48  % (26271)Instructions burned: 8 (million)
% 0.19/0.48  % (26271)------------------------------
% 0.19/0.48  % (26271)------------------------------
% 0.19/0.49  % (26268)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)
% 0.19/0.50  % (26269)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)
% 0.19/0.50  % (26284)Instruction limit reached!
% 0.19/0.50  % (26284)------------------------------
% 0.19/0.50  % (26284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (26284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (26284)Termination reason: Unknown
% 0.19/0.50  % (26284)Termination phase: Equality proxy
% 0.19/0.50  
% 0.19/0.50  % (26284)Memory used [KB]: 1663
% 0.19/0.50  % (26284)Time elapsed: 0.004 s
% 0.19/0.50  % (26284)Instructions burned: 8 (million)
% 0.19/0.50  % (26284)------------------------------
% 0.19/0.50  % (26284)------------------------------
% 0.19/0.50  % (26263)Instruction limit reached!
% 0.19/0.50  % (26263)------------------------------
% 0.19/0.50  % (26263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (26263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (26263)Termination reason: Unknown
% 0.19/0.50  % (26263)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (26263)Memory used [KB]: 7036
% 0.19/0.50  % (26263)Time elapsed: 0.112 s
% 0.19/0.50  % (26263)Instructions burned: 40 (million)
% 0.19/0.50  % (26263)------------------------------
% 0.19/0.50  % (26263)------------------------------
% 0.19/0.51  % (26256)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51  % (26260)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)
% 0.19/0.52  % (26268)Instruction limit reached!
% 0.19/0.52  % (26268)------------------------------
% 0.19/0.52  % (26268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (26268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (26268)Termination reason: Unknown
% 0.19/0.52  % (26268)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (26268)Memory used [KB]: 1918
% 0.19/0.52  % (26268)Time elapsed: 0.118 s
% 0.19/0.52  % (26268)Instructions burned: 17 (million)
% 0.19/0.52  % (26268)------------------------------
% 0.19/0.52  % (26268)------------------------------
% 0.19/0.52  % (26259)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (26257)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)
% 0.19/0.52  % (26264)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  % (26279)Instruction limit reached!
% 0.19/0.52  % (26279)------------------------------
% 0.19/0.52  % (26279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (26319)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)
% 0.19/0.52  % (26261)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  % (26267)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)
% 0.19/0.53  % (26278)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  % (26272)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)
% 0.19/0.53  % (26266)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  % (26276)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)
% 0.19/0.53  % (26280)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)
% 0.19/0.53  % (26267)Instruction limit reached!
% 0.19/0.53  % (26267)------------------------------
% 0.19/0.53  % (26267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (26267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (26267)Termination reason: Unknown
% 0.19/0.53  % (26267)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (26267)Memory used [KB]: 1791
% 0.19/0.53  % (26267)Time elapsed: 0.005 s
% 0.19/0.53  % (26267)Instructions burned: 9 (million)
% 0.19/0.53  % (26267)------------------------------
% 0.19/0.53  % (26267)------------------------------
% 0.19/0.53  % (26273)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (26273)Instruction limit reached!
% 0.19/0.53  % (26273)------------------------------
% 0.19/0.53  % (26273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (26265)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)
% 0.19/0.53  % (26283)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)
% 0.19/0.54  % (26260)Instruction limit reached!
% 0.19/0.54  % (26260)------------------------------
% 0.19/0.54  % (26260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26260)Termination reason: Unknown
% 0.19/0.54  % (26260)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (26260)Memory used [KB]: 6268
% 0.19/0.54  % (26260)Time elapsed: 0.142 s
% 0.19/0.54  % (26260)Instructions burned: 14 (million)
% 0.19/0.54  % (26260)------------------------------
% 0.19/0.54  % (26260)------------------------------
% 0.19/0.54  % (26281)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)
% 0.19/0.54  % (26279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26279)Termination reason: Unknown
% 0.19/0.54  % (26279)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (26279)Memory used [KB]: 2558
% 0.19/0.54  % (26279)Time elapsed: 0.126 s
% 0.19/0.54  % (26279)Instructions burned: 46 (million)
% 0.19/0.54  % (26279)------------------------------
% 0.19/0.54  % (26279)------------------------------
% 0.19/0.54  % (26277)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  % (26274)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)
% 0.19/0.54  % (26274)Instruction limit reached!
% 0.19/0.54  % (26274)------------------------------
% 0.19/0.54  % (26274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26274)Termination reason: Unknown
% 0.19/0.54  % (26274)Termination phase: Preprocessing 1
% 0.19/0.54  
% 0.19/0.54  % (26274)Memory used [KB]: 1407
% 0.19/0.54  % (26274)Time elapsed: 0.002 s
% 0.19/0.54  % (26274)Instructions burned: 2 (million)
% 0.19/0.54  % (26274)------------------------------
% 0.19/0.54  % (26274)------------------------------
% 0.19/0.54  % (26261)Instruction limit reached!
% 0.19/0.54  % (26261)------------------------------
% 0.19/0.54  % (26261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26275)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)
% 0.19/0.55  % (26262)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)
% 0.19/0.55  % (26273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (26273)Termination reason: Unknown
% 0.19/0.55  % (26273)Termination phase: Naming
% 0.19/0.55  
% 0.19/0.55  % (26273)Memory used [KB]: 1535
% 0.19/0.55  % (26273)Time elapsed: 0.003 s
% 0.19/0.55  % (26273)Instructions burned: 3 (million)
% 0.19/0.55  % (26273)------------------------------
% 0.19/0.55  % (26273)------------------------------
% 0.19/0.55  % (26257)Instruction limit reached!
% 0.19/0.55  % (26257)------------------------------
% 0.19/0.55  % (26257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (26257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (26257)Termination reason: Unknown
% 0.19/0.55  % (26257)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (26257)Memory used [KB]: 6396
% 0.19/0.55  % (26257)Time elapsed: 0.151 s
% 0.19/0.55  % (26257)Instructions burned: 14 (million)
% 0.19/0.55  % (26257)------------------------------
% 0.19/0.55  % (26257)------------------------------
% 0.19/0.55  % (26261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (26261)Termination reason: Unknown
% 0.19/0.55  % (26261)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (26261)Memory used [KB]: 1791
% 0.19/0.55  % (26275)Instruction limit reached!
% 0.19/0.55  % (26275)------------------------------
% 0.19/0.55  % (26275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (26261)Time elapsed: 0.143 s
% 0.19/0.55  % (26261)Instructions burned: 15 (million)
% 0.19/0.55  % (26261)------------------------------
% 0.19/0.55  % (26261)------------------------------
% 0.19/0.55  % (26275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (26275)Termination reason: Unknown
% 0.19/0.55  % (26275)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (26275)Memory used [KB]: 6268
% 0.19/0.55  % (26275)Time elapsed: 0.157 s
% 0.19/0.55  % (26275)Instructions burned: 12 (million)
% 0.19/0.55  % (26275)------------------------------
% 0.19/0.55  % (26275)------------------------------
% 0.19/0.55  % (26266)Instruction limit reached!
% 0.19/0.55  % (26266)------------------------------
% 0.19/0.55  % (26266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (26266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (26266)Termination reason: Unknown
% 0.19/0.55  % (26266)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (26266)Memory used [KB]: 1791
% 0.19/0.55  % (26266)Time elapsed: 0.007 s
% 0.19/0.55  % (26266)Instructions burned: 12 (million)
% 0.19/0.55  % (26266)------------------------------
% 0.19/0.55  % (26266)------------------------------
% 0.19/0.56  % (26282)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)
% 0.19/0.56  % (26285)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)
% 0.19/0.56  % (26270)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)
% 0.19/0.56  % (26270)Instruction limit reached!
% 0.19/0.56  % (26270)------------------------------
% 0.19/0.56  % (26270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (26270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (26270)Termination reason: Unknown
% 0.19/0.56  % (26270)Termination phase: Preprocessing 3
% 0.19/0.56  
% 0.19/0.56  % (26270)Memory used [KB]: 1535
% 0.19/0.56  % (26270)Time elapsed: 0.004 s
% 0.19/0.56  % (26270)Instructions burned: 3 (million)
% 0.19/0.56  % (26270)------------------------------
% 0.19/0.56  % (26270)------------------------------
% 0.19/0.56  % (26276)Instruction limit reached!
% 0.19/0.56  % (26276)------------------------------
% 0.19/0.56  % (26276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (26326)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)
% 0.19/0.57  % (26283)Instruction limit reached!
% 0.19/0.57  % (26283)------------------------------
% 0.19/0.57  % (26283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (26283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (26283)Termination reason: Unknown
% 0.19/0.57  % (26283)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (26283)Memory used [KB]: 6652
% 0.19/0.57  % (26283)Time elapsed: 0.168 s
% 0.19/0.57  % (26283)Instructions burned: 26 (million)
% 0.19/0.57  % (26283)------------------------------
% 0.19/0.57  % (26283)------------------------------
% 0.19/0.59  % (26276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (26276)Termination reason: Unknown
% 0.19/0.59  % (26276)Termination phase: Saturation
% 0.19/0.59  
% 0.19/0.59  % (26276)Memory used [KB]: 6524
% 0.19/0.59  % (26276)Time elapsed: 0.174 s
% 0.19/0.59  % (26276)Instructions burned: 31 (million)
% 0.19/0.59  % (26276)------------------------------
% 0.19/0.59  % (26276)------------------------------
% 0.19/0.59  % (26326)Instruction limit reached!
% 0.19/0.59  % (26326)------------------------------
% 0.19/0.59  % (26326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (26265)Instruction limit reached!
% 0.19/0.59  % (26265)------------------------------
% 0.19/0.59  % (26265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (26265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (26265)Termination reason: Unknown
% 0.19/0.59  % (26265)Termination phase: Saturation
% 0.19/0.59  
% 0.19/0.59  % (26265)Memory used [KB]: 6780
% 0.19/0.59  % (26265)Time elapsed: 0.198 s
% 0.19/0.59  % (26265)Instructions burned: 34 (million)
% 0.19/0.59  % (26265)------------------------------
% 0.19/0.59  % (26265)------------------------------
% 0.19/0.59  % (26326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (26326)Termination reason: Unknown
% 0.19/0.59  % (26326)Termination phase: Saturation
% 0.19/0.59  
% 0.19/0.59  % (26326)Memory used [KB]: 6140
% 0.19/0.59  % (26326)Time elapsed: 0.006 s
% 0.19/0.59  % (26326)Instructions burned: 7 (million)
% 0.19/0.59  % (26326)------------------------------
% 0.19/0.59  % (26326)------------------------------
% 0.19/0.60  % (26269)Instruction limit reached!
% 0.19/0.60  % (26269)------------------------------
% 0.19/0.60  % (26269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60  % (26269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60  % (26269)Termination reason: Unknown
% 0.19/0.60  % (26269)Termination phase: Saturation
% 0.19/0.60  
% 0.19/0.60  % (26269)Memory used [KB]: 7675
% 0.19/0.60  % (26269)Time elapsed: 0.164 s
% 0.19/0.60  % (26269)Instructions burned: 51 (million)
% 0.19/0.60  % (26269)------------------------------
% 0.19/0.60  % (26269)------------------------------
% 0.19/0.60  % (26259)Instruction limit reached!
% 0.19/0.60  % (26259)------------------------------
% 0.19/0.60  % (26259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60  % (26259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60  % (26259)Termination reason: Unknown
% 0.19/0.60  % (26259)Termination phase: Saturation
% 0.19/0.60  
% 0.19/0.60  % (26259)Memory used [KB]: 7036
% 0.19/0.60  % (26259)Time elapsed: 0.185 s
% 0.19/0.60  % (26259)Instructions burned: 51 (million)
% 0.19/0.60  % (26259)------------------------------
% 0.19/0.60  % (26259)------------------------------
% 2.06/0.61  % (26280)Instruction limit reached!
% 2.06/0.61  % (26280)------------------------------
% 2.06/0.61  % (26280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.61  % (26280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.61  % (26280)Termination reason: Unknown
% 2.06/0.61  % (26280)Termination phase: Saturation
% 2.06/0.61  
% 2.06/0.61  % (26280)Memory used [KB]: 6780
% 2.06/0.61  % (26280)Time elapsed: 0.207 s
% 2.06/0.61  % (26280)Instructions burned: 51 (million)
% 2.06/0.61  % (26280)------------------------------
% 2.06/0.61  % (26280)------------------------------
% 2.06/0.61  % (26285)Instruction limit reached!
% 2.06/0.61  % (26285)------------------------------
% 2.06/0.61  % (26285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.61  % (26285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.61  % (26285)Termination reason: Unknown
% 2.06/0.61  % (26285)Termination phase: Saturation
% 2.06/0.61  
% 2.06/0.61  % (26285)Memory used [KB]: 6396
% 2.06/0.61  % (26285)Time elapsed: 0.199 s
% 2.06/0.61  % (26285)Instructions burned: 24 (million)
% 2.06/0.61  % (26285)------------------------------
% 2.06/0.61  % (26285)------------------------------
% 2.06/0.62  % (26332)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)
% 2.22/0.62  % (26262)Instruction limit reached!
% 2.22/0.62  % (26262)------------------------------
% 2.22/0.62  % (26262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.62  % (26337)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.24/0.63  % (26272)Refutation not found, non-redundant clauses discarded% (26272)------------------------------
% 2.24/0.63  % (26272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.64  % (26256)First to succeed.
% 2.24/0.64  % (26344)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)
% 2.24/0.64  % (26262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.64  % (26262)Termination reason: Unknown
% 2.24/0.64  % (26262)Termination phase: Saturation
% 2.24/0.64  
% 2.24/0.64  % (26262)Memory used [KB]: 6652
% 2.24/0.64  % (26262)Time elapsed: 0.207 s
% 2.24/0.64  % (26262)Instructions burned: 40 (million)
% 2.24/0.64  % (26262)------------------------------
% 2.24/0.64  % (26262)------------------------------
% 2.24/0.64  % (26272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.65  % (26256)Refutation found. Thanks to Tanya!
% 2.24/0.65  % SZS status Theorem for theBenchmark
% 2.24/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.24/0.65  % (26256)------------------------------
% 2.24/0.65  % (26256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.65  % (26256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.65  % (26256)Termination reason: Refutation
% 2.24/0.65  
% 2.24/0.65  % (26256)Memory used [KB]: 6908
% 2.24/0.65  % (26256)Time elapsed: 0.227 s
% 2.24/0.65  % (26256)Instructions burned: 53 (million)
% 2.24/0.65  % (26256)------------------------------
% 2.24/0.65  % (26256)------------------------------
% 2.24/0.65  % (26255)Success in time 0.292 s
%------------------------------------------------------------------------------