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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM590+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:24:56 PM UTC 2026

% Result   : Theorem 4.90s 2.15s
% Output   : Refutation 4.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  136 (  30 unt;   9 def)
%            Number of atoms       :  362 (  29 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  363 ( 137   ~; 172   |;  23   &)
%                                         (  22 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  10 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   98 (   0 sgn  97   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

fof(f5,axiom,
    ! [X0] :
      ( X0 = slcrc0
    <=> ( aSet0(X0)
        & ~ ? [X1] : aElementOf0(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).

fof(f6,axiom,
    isFinite0(slcrc0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).

fof(f8,axiom,
    ! [X0] :
      ( ( aSet0(X0)
        & isCountable0(X0) )
     => ~ isFinite0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).

fof(f10,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ( aSet0(X0)
        & aElement0(X1) )
     => ! [X2] :
          ( X2 = sdtmndt0(X0,X1)
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( aElement0(X3)
                  & aElementOf0(X3,X0)
                  & X3 != X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).

fof(f23,axiom,
    ( aSet0(szNzAzT0)
    & isCountable0(szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).

fof(f47,axiom,
    ! [X0] :
      ( ( aSubsetOf0(X0,szNzAzT0)
        & X0 != slcrc0 )
     => ! [X1] :
          ( X1 = szmzizndt0(X0)
        <=> ( aElementOf0(X1,X0)
            & ! [X2] :
                ( aElementOf0(X2,X0)
               => sdtlseqdt0(X1,X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).

fof(f82,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        & isCountable0(sdtlpdtrp0(xN,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).

fof(f90,axiom,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4448) ).

fof(f91,axiom,
    ( xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
    & xd = sdtlpdtrp0(xC,xi) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4448_02) ).

fof(f92,conjecture,
    aSubsetOf0(xY,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

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

fof(f94,plain,
    ~ aSubsetOf0(xY,szNzAzT0),
    inference(flattening,[],[f93]) ).

fof(f97,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f100,plain,
    ! [X0] :
      ( X0 = slcrc0
    <=> ( aSet0(X0)
        & ! [X1] : ~ aElementOf0(X1,X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ isFinite0(X0)
      | ~ aSet0(X0)
      | ~ isCountable0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ isFinite0(X0)
      | ~ aSet0(X0)
      | ~ isCountable0(X0) ),
    inference(flattening,[],[f103]) ).

fof(f107,plain,
    ! [X0] :
      ( ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X0)
                | ~ aElementOf0(X2,X1) ) ) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( X2 = sdtmndt0(X0,X1)
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( aElement0(X3)
                  & aElementOf0(X3,X0)
                  & X3 != X1 ) ) ) )
      | ~ aSet0(X0)
      | ~ aElement0(X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( X2 = sdtmndt0(X0,X1)
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( aElement0(X3)
                  & aElementOf0(X3,X0)
                  & X3 != X1 ) ) ) )
      | ~ aSet0(X0)
      | ~ aElement0(X1) ),
    inference(flattening,[],[f117]) ).

fof(f164,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = szmzizndt0(X0)
        <=> ( aElementOf0(X1,X0)
            & ! [X2] :
                ( sdtlseqdt0(X1,X2)
                | ~ aElementOf0(X2,X0) ) ) )
      | ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0 ),
    inference(ennf_transformation,[],[f47]) ).

fof(f165,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = szmzizndt0(X0)
        <=> ( aElementOf0(X1,X0)
            & ! [X2] :
                ( sdtlseqdt0(X1,X2)
                | ~ aElementOf0(X2,X0) ) ) )
      | ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0 ),
    inference(flattening,[],[f164]) ).

fof(f209,plain,
    ! [X0] :
      ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        & isCountable0(sdtlpdtrp0(xN,X0)) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElementOf0(X1,X0)
      | aElement0(X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f223,plain,
    ! [X0] :
      ( aSet0(X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f225,plain,
    isFinite0(slcrc0),
    inference(cnf_transformation,[],[f6]) ).

fof(f226,plain,
    ! [X0] :
      ( ~ isCountable0(X0)
      | ~ aSet0(X0)
      | ~ isFinite0(X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | aElementOf0(sK1(X0,X1),X1)
      | ~ aSet0(X1)
      | aSubsetOf0(X1,X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElementOf0(sK1(X0,X1),X0)
      | ~ aSet0(X1)
      | aSubsetOf0(X1,X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f230,plain,
    ! [X2,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElementOf0(X2,X1)
      | aElementOf0(X2,X0)
      | ~ aSubsetOf0(X1,X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | aSet0(X1)
      | ~ aSubsetOf0(X1,X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f246,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aElement0(X1)
      | ~ aSet0(X0)
      | aElementOf0(X3,X0)
      | ~ aElementOf0(X3,X2)
      | sdtmndt0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f118]) ).

fof(f253,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X1)
      | ~ aSet0(X0)
      | aSet0(X2)
      | sdtmndt0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f118]) ).

fof(f261,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f292,plain,
    ! [X0,X1] :
      ( slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0)
      | aElementOf0(X1,X0)
      | szmzizndt0(X0) != X1 ),
    inference(cnf_transformation,[],[f165]) ).

fof(f379,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | isCountable0(sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f380,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f392,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f90]) ).

fof(f394,plain,
    xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),
    inference(cnf_transformation,[],[f91]) ).

fof(f395,plain,
    ~ aSubsetOf0(xY,szNzAzT0),
    inference(cnf_transformation,[],[f94]) ).

fof(f396,plain,
    aSet0(slcrc0),
    inference(equality_resolution,[],[f223]) ).

fof(f405,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aSet0(X0)
      | aSet0(sdtmndt0(X0,X1)) ),
    inference(equality_resolution,[],[f253]) ).

fof(f408,plain,
    ! [X3,X0,X1] :
      ( ~ aElement0(X1)
      | ~ aSet0(X0)
      | aElementOf0(X3,X0)
      | ~ aElementOf0(X3,sdtmndt0(X0,X1)) ),
    inference(equality_resolution,[],[f246]) ).

fof(f412,plain,
    ! [X0] :
      ( slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0)
      | aElementOf0(szmzizndt0(X0),X0) ),
    inference(equality_resolution,[],[f292]) ).

fof(f441,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | aElementOf0(X1,X0)
      | aSet0(X0) ),
    inference(consistent_polarity_flipping,[],[f221]) ).

fof(f443,plain,
    ~ aSet0(slcrc0),
    inference(consistent_polarity_flipping,[],[f396]) ).

fof(f445,plain,
    ~ isFinite0(slcrc0),
    inference(consistent_polarity_flipping,[],[f225]) ).

fof(f446,plain,
    ! [X0] :
      ( isCountable0(X0)
      | aSet0(X0)
      | isFinite0(X0) ),
    inference(consistent_polarity_flipping,[],[f226]) ).

fof(f448,plain,
    ! [X0,X1] :
      ( ~ aSet0(X1)
      | aSet0(X0)
      | aSubsetOf0(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f231]) ).

fof(f449,plain,
    ! [X2,X0,X1] :
      ( ~ aElementOf0(X2,X0)
      | aElementOf0(X2,X1)
      | aSet0(X0)
      | aSubsetOf0(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f230]) ).

fof(f450,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | aElementOf0(sK1(X0,X1),X0)
      | aSet0(X1)
      | aSet0(X0) ),
    inference(consistent_polarity_flipping,[],[f229]) ).

fof(f451,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | ~ aElementOf0(sK1(X0,X1),X1)
      | aSet0(X1)
      | aSet0(X0) ),
    inference(consistent_polarity_flipping,[],[f228]) ).

fof(f465,plain,
    ! [X0,X1] :
      ( ~ aSet0(sdtmndt0(X0,X1))
      | aSet0(X0)
      | aElement0(X1) ),
    inference(consistent_polarity_flipping,[],[f405]) ).

fof(f472,plain,
    ! [X3,X0,X1] :
      ( aElementOf0(X3,sdtmndt0(X0,X1))
      | aSet0(X0)
      | ~ aElementOf0(X3,X0)
      | aElement0(X1) ),
    inference(consistent_polarity_flipping,[],[f408]) ).

fof(f480,plain,
    ~ aSet0(szNzAzT0),
    inference(consistent_polarity_flipping,[],[f261]) ).

fof(f509,plain,
    ! [X0] :
      ( ~ aElementOf0(szmzizndt0(X0),X0)
      | aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0 ),
    inference(consistent_polarity_flipping,[],[f412]) ).

fof(f590,plain,
    ! [X0] :
      ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
      | aElementOf0(X0,szNzAzT0) ),
    inference(consistent_polarity_flipping,[],[f380]) ).

fof(f591,plain,
    ! [X0] :
      ( ~ isCountable0(sdtlpdtrp0(xN,X0))
      | aElementOf0(X0,szNzAzT0) ),
    inference(consistent_polarity_flipping,[],[f379]) ).

fof(f600,plain,
    ~ aElementOf0(xi,szNzAzT0),
    inference(consistent_polarity_flipping,[],[f392]) ).

fof(f601,plain,
    aSubsetOf0(xY,szNzAzT0),
    inference(consistent_polarity_flipping,[],[f395]) ).

fof(f609,definition,
    ( spl21_2
  <=> aSet0(slcrc0) ),
    introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).

fof(f610,plain,
    ( ~ aSet0(slcrc0)
    | spl21_2 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f618,plain,
    ~ spl21_2,
    inference(avatar_split_clause,[],[f443,f609]) ).

fof(f637,plain,
    ! [X0] :
      ( isFinite0(sdtlpdtrp0(xN,X0))
      | aSet0(sdtlpdtrp0(xN,X0))
      | aElementOf0(X0,szNzAzT0) ),
    inference(resolution,[],[f591,f446]) ).

fof(f711,plain,
    ( ~ aSet0(xY)
    | aSet0(sdtlpdtrp0(xN,xi))
    | aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
    inference(superposition,[],[f465,f394]) ).

fof(f713,definition,
    ( spl21_10
  <=> aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
    introduced(definition,[new_symbols(definition,[spl21_10])],[avatar_definition]) ).

fof(f715,plain,
    ( aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | ~ spl21_10 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f717,definition,
    ( spl21_11
  <=> aSet0(sdtlpdtrp0(xN,xi)) ),
    introduced(definition,[new_symbols(definition,[spl21_11])],[avatar_definition]) ).

fof(f718,plain,
    ( ~ aSet0(sdtlpdtrp0(xN,xi))
    | spl21_11 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f719,plain,
    ( aSet0(sdtlpdtrp0(xN,xi))
    | ~ spl21_11 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f721,definition,
    ( spl21_12
  <=> aSet0(xY) ),
    introduced(definition,[new_symbols(definition,[spl21_12])],[avatar_definition]) ).

fof(f724,plain,
    ( spl21_10
    | spl21_11
    | ~ spl21_12 ),
    inference(avatar_split_clause,[],[f711,f721,f717,f713]) ).

fof(f863,plain,
    ( aElementOf0(sK1(szNzAzT0,xY),szNzAzT0)
    | aSet0(xY)
    | aSet0(szNzAzT0) ),
    inference(resolution,[],[f450,f601]) ).

fof(f864,plain,
    ( aElementOf0(sK1(szNzAzT0,xY),szNzAzT0)
    | aSet0(xY) ),
    inference(forward_subsumption_resolution,[],[f863,f480]) ).

fof(f866,definition,
    ( spl21_30
  <=> aElementOf0(sK1(szNzAzT0,xY),szNzAzT0) ),
    introduced(definition,[new_symbols(definition,[spl21_30])],[avatar_definition]) ).

fof(f868,plain,
    ( aElementOf0(sK1(szNzAzT0,xY),szNzAzT0)
    | ~ spl21_30 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f869,plain,
    ( spl21_12
    | spl21_30 ),
    inference(avatar_split_clause,[],[f864,f866,f721]) ).

fof(f870,plain,
    ( ~ aElementOf0(sK1(szNzAzT0,xY),xY)
    | aSet0(xY)
    | aSet0(szNzAzT0) ),
    inference(resolution,[],[f451,f601]) ).

fof(f871,plain,
    ( ~ aElementOf0(sK1(szNzAzT0,xY),xY)
    | aSet0(xY) ),
    inference(forward_subsumption_resolution,[],[f870,f480]) ).

fof(f873,definition,
    ( spl21_31
  <=> aElementOf0(sK1(szNzAzT0,xY),xY) ),
    introduced(definition,[new_symbols(definition,[spl21_31])],[avatar_definition]) ).

fof(f875,plain,
    ( ~ aElementOf0(sK1(szNzAzT0,xY),xY)
    | spl21_31 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f876,plain,
    ( spl21_12
    | ~ spl21_31 ),
    inference(avatar_split_clause,[],[f871,f873,f721]) ).

fof(f885,plain,
    ! [X0] :
      ( aElementOf0(X0,xY)
      | aSet0(sdtlpdtrp0(xN,xi))
      | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
      | aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
    inference(superposition,[],[f472,f394]) ).

fof(f904,definition,
    ( spl21_34
  <=> ! [X0] :
        ( aElementOf0(X0,xY)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ) ),
    introduced(definition,[new_symbols(definition,[spl21_34])],[avatar_definition]) ).

fof(f905,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
        | aElementOf0(X0,xY) )
    | ~ spl21_34 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f906,plain,
    ( spl21_10
    | spl21_11
    | spl21_34 ),
    inference(avatar_split_clause,[],[f885,f904,f717,f713]) ).

fof(f1866,plain,
    ( ! [X0] :
        ( aElementOf0(sK1(szNzAzT0,xY),X0)
        | aSet0(szNzAzT0)
        | aSubsetOf0(X0,szNzAzT0) )
    | ~ spl21_30 ),
    inference(resolution,[],[f868,f449]) ).

fof(f1867,plain,
    ( ! [X0] :
        ( aElementOf0(sK1(szNzAzT0,xY),X0)
        | aSubsetOf0(X0,szNzAzT0) )
    | ~ spl21_30 ),
    inference(forward_subsumption_resolution,[],[f1866,f480]) ).

fof(f2823,plain,
    ( ! [X0] :
        ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
        | aSet0(X0) )
    | ~ spl21_10 ),
    inference(resolution,[],[f715,f441]) ).

fof(f4161,definition,
    ( spl21_286
  <=> slcrc0 = sdtlpdtrp0(xN,xi) ),
    introduced(definition,[new_symbols(definition,[spl21_286])],[avatar_definition]) ).

fof(f4162,plain,
    ( slcrc0 != sdtlpdtrp0(xN,xi)
    | spl21_286 ),
    inference(avatar_component_clause,[],[f4161]) ).

fof(f4163,plain,
    ( slcrc0 = sdtlpdtrp0(xN,xi)
    | ~ spl21_286 ),
    inference(avatar_component_clause,[],[f4161]) ).

fof(f4165,definition,
    ( spl21_287
  <=> aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
    introduced(definition,[new_symbols(definition,[spl21_287])],[avatar_definition]) ).

fof(f4167,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    | ~ spl21_287 ),
    inference(avatar_component_clause,[],[f4165]) ).

fof(f6283,plain,
    ( ! [X0] :
        ( aSubsetOf0(sdtlpdtrp0(xN,xi),X0)
        | aSet0(X0) )
    | ~ spl21_11 ),
    inference(resolution,[],[f719,f448]) ).

fof(f57539,plain,
    ( isFinite0(slcrc0)
    | aSet0(slcrc0)
    | aElementOf0(xi,szNzAzT0)
    | ~ spl21_286 ),
    inference(superposition,[],[f637,f4163]) ).

fof(f57633,plain,
    ( aSet0(slcrc0)
    | aElementOf0(xi,szNzAzT0)
    | ~ spl21_286 ),
    inference(forward_subsumption_resolution,[],[f57539,f445]) ).

fof(f57729,plain,
    ( aElementOf0(xi,szNzAzT0)
    | spl21_2
    | ~ spl21_286 ),
    inference(forward_subsumption_resolution,[],[f57633,f610]) ).

fof(f57796,plain,
    ( $false
    | spl21_2
    | ~ spl21_286 ),
    inference(forward_subsumption_resolution,[],[f57729,f600]) ).

fof(f57797,plain,
    ( spl21_2
    | ~ spl21_286 ),
    inference(avatar_contradiction_clause,[],[f57796]) ).

fof(f66576,plain,
    ( aSet0(szNzAzT0)
    | aElementOf0(xi,szNzAzT0)
    | ~ spl21_11 ),
    inference(resolution,[],[f6283,f590]) ).

fof(f66604,plain,
    ( aElementOf0(xi,szNzAzT0)
    | ~ spl21_11 ),
    inference(forward_subsumption_resolution,[],[f66576,f480]) ).

fof(f66607,plain,
    ( $false
    | ~ spl21_11 ),
    inference(forward_subsumption_resolution,[],[f66604,f600]) ).

fof(f66608,plain,
    ~ spl21_11,
    inference(avatar_contradiction_clause,[],[f66607]) ).

fof(f73782,plain,
    ( aSet0(sdtlpdtrp0(xN,xi))
    | aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    | slcrc0 = sdtlpdtrp0(xN,xi)
    | ~ spl21_10 ),
    inference(resolution,[],[f2823,f509]) ).

fof(f73841,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    | slcrc0 = sdtlpdtrp0(xN,xi)
    | ~ spl21_10
    | spl21_11 ),
    inference(forward_subsumption_resolution,[],[f73782,f718]) ).

fof(f73866,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    | ~ spl21_10
    | spl21_11
    | spl21_286 ),
    inference(forward_subsumption_resolution,[],[f73841,f4162]) ).

fof(f73867,plain,
    ( spl21_287
    | ~ spl21_10
    | spl21_11
    | spl21_286 ),
    inference(avatar_split_clause,[],[f73866,f4161,f717,f713,f4165]) ).

fof(f73868,plain,
    ( aElementOf0(xi,szNzAzT0)
    | ~ spl21_287 ),
    inference(resolution,[],[f4167,f590]) ).

fof(f73879,plain,
    ( $false
    | ~ spl21_287 ),
    inference(forward_subsumption_resolution,[],[f73868,f600]) ).

fof(f73880,plain,
    ~ spl21_287,
    inference(avatar_contradiction_clause,[],[f73879]) ).

fof(f78550,plain,
    ( aElementOf0(sK1(szNzAzT0,xY),xY)
    | aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    | ~ spl21_30
    | ~ spl21_34 ),
    inference(resolution,[],[f905,f1867]) ).

fof(f78667,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    | ~ spl21_30
    | spl21_31
    | ~ spl21_34 ),
    inference(forward_subsumption_resolution,[],[f78550,f875]) ).

fof(f78736,plain,
    ( spl21_287
    | ~ spl21_30
    | spl21_31
    | ~ spl21_34 ),
    inference(avatar_split_clause,[],[f78667,f904,f873,f866,f4165]) ).

cnf(s3,plain,
    ~ spl21_2,
    inference(sat_conversion,[],[f618]) ).

cnf(s10,plain,
    ( spl21_10
    | spl21_11
    | ~ spl21_12 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s20,plain,
    ( spl21_12
    | spl21_30 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s21,plain,
    ( spl21_12
    | ~ spl21_31 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s23,plain,
    ( spl21_10
    | spl21_11
    | spl21_34 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s5129,plain,
    ( spl21_2
    | ~ spl21_286 ),
    inference(sat_conversion,[],[f57797]) ).

cnf(s5890,plain,
    ~ spl21_11,
    inference(sat_conversion,[],[f66608]) ).

cnf(s7018,plain,
    ( ~ spl21_10
    | spl21_11
    | spl21_286
    | spl21_287 ),
    inference(sat_conversion,[],[f73867]) ).

cnf(s7019,plain,
    ~ spl21_287,
    inference(sat_conversion,[],[f73880]) ).

cnf(s8364,plain,
    ( ~ spl21_30
    | spl21_31
    | ~ spl21_34
    | spl21_287 ),
    inference(sat_conversion,[],[f78736]) ).

cnf(s8377,plain,
    ( ~ spl21_10
    | spl21_11
    | spl21_286 ),
    inference(rat,[],[s7018,s7019]) ).

cnf(s9151,plain,
    ( spl21_10
    | spl21_34 ),
    inference(rat,[],[s23,s5890]) ).

cnf(s9171,plain,
    ( spl21_10
    | ~ spl21_12 ),
    inference(rat,[],[s10,s5890]) ).

cnf(s9265,plain,
    ~ spl21_286,
    inference(rat,[],[s5129,s3]) ).

cnf(s9298,plain,
    ~ spl21_10,
    inference(rat,[],[s8377,s5890,s9265]) ).

cnf(s9326,plain,
    spl21_34,
    inference(rat,[],[s9151,s9298]) ).

cnf(s9328,plain,
    ~ spl21_12,
    inference(rat,[],[s9171,s9298]) ).

cnf(s9380,plain,
    ~ spl21_31,
    inference(rat,[],[s21,s9328]) ).

cnf(s9381,plain,
    spl21_30,
    inference(rat,[],[s20,s9328]) ).

cnf(s9411,plain,
    $false,
    inference(rat,[],[s8364,s7019,s9326,s9380,s9381]) ).

fof(f78783,plain,
    $false,
    inference(avatar_sat_refutation,[],[s9411]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : NUM590+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.33  % Computer : n012.cluster.edu
% 0.04/0.33  % Model    : x86_64 x86_64
% 0.04/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.33  % Memory   : 8046.5625MB
% 0.04/0.33  % OS       : Linux 6.8.0-71-generic
% 0.04/0.33  % CPULimit : 300
% 0.04/0.33  % WCLimit  : 300
% 0.04/0.33  % DateTime : Sun Sep 27 20:38:05 UTC 2026
% 0.04/0.33  % CPUTime  : 
% 0.04/0.33  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.35  Running first-order model finding
% 0.04/0.35  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.20/1.73  % (2716288)Will run a generic schedule for satisfiability detection.
% 8.20/1.73  % (2716294)% WARNING: option uhcvi not known.
% 8.20/1.73  % (2716295)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=558140494:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.20/1.73  % (2716298)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3460416075:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.20/1.73  % (2716293)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2310345276_2999 on theBenchmark for (2999ds/0Mi)
% 8.20/1.73  % (2716294)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=66015230:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.20/1.73  % (2716296)dis+10_1_sil=32000:sp=arity:random_seed=839076227:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.20/1.73  % (2716297)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=836329567:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.20/1.73  % (2716299)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2099958748:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.20/1.73  % TRYING [1]
% 8.20/1.73  % TRYING [2]
% 8.20/1.73  % TRYING [3]
% 8.20/1.73  % TRYING [4]
% 8.20/1.73  % (2716296)Instruction limit reached! 
% 8.20/1.73  % (2716296)------------------------------
% 8.20/1.73  % (2716296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/1.73  % (2716296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/1.73  % (2716296)CaDiCaL version: 2.1.3
% 8.20/1.73  % (2716296)Termination reason: Instruction limit
% 8.20/1.73  % (2716296)Termination phase: Saturation
% 8.20/1.73  % (2716296)Time elapsed: 0.037 s
% 8.20/1.73  % (2716296)Peak memory usage: 13 MB
% 8.20/1.73  % (2716296)Instructions burned: 104 (million)
% 8.20/1.73  % (2716297)Instruction limit reached! 
% 8.20/1.73  % (2716297)------------------------------
% 8.20/1.73  % (2716297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/1.73  % (2716297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/1.73  % (2716297)CaDiCaL version: 2.1.3
% 8.20/1.73  % (2716297)Termination reason: Instruction limit
% 8.20/1.73  % (2716297)Termination phase: Saturation
% 8.20/1.73  % (2716297)Time elapsed: 0.040 s
% 8.20/1.73  % (2716297)Peak memory usage: 13 MB
% 8.20/1.73  % (2716297)Instructions burned: 116 (million)
% 8.20/1.73  % (2716298)Instruction limit reached! 
% 8.20/1.73  % (2716298)------------------------------
% 8.20/1.73  % (2716298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/1.73  % (2716298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/1.73  % (2716298)CaDiCaL version: 2.1.3
% 8.20/1.73  % (2716298)Termination reason: Instruction limit
% 8.20/1.73  % (2716298)Termination phase: Saturation
% 8.20/1.73  % (2716298)Time elapsed: 0.042 s
% 8.20/1.73  % (2716298)Peak memory usage: 13 MB
% 8.20/1.73  % (2716298)Instructions burned: 131 (million)
% 8.20/1.73  % (2716307)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3647998076:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.20/1.73  % (2716308)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4007532846:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.20/1.73  % (2716309)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1777698297:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 8.20/1.73  % (2716299)Instruction limit reached! 
% 8.20/1.73  % (2716299)------------------------------
% 8.20/1.73  % (2716299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/1.73  % (2716299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/1.73  % (2716299)CaDiCaL version: 2.1.3
% 8.20/1.73  % (2716299)Termination reason: Instruction limit
% 8.20/1.73  % (2716299)Termination phase: Saturation
% 8.20/1.73  % (2716299)Time elapsed: 0.058 s
% 8.20/1.73  % (2716299)Peak memory usage: 15 MB
% 8.20/1.73  % (2716299)Instructions burned: 160 (million)
% 8.20/1.73  % TRYING [1]
% 8.20/1.73  % TRYING [2]
% 8.20/1.73  % TRYING [3]
% 8.20/1.73  % TRYING [5]
% 8.20/1.73  % (2716313)ott-21_1_sil=16000:fs=off:random_seed=2122606661:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 8.20/1.73  % TRYING [4]
% 8.20/1.73  % (2716308)Instruction limit reached! 
% 8.20/1.73  % (2716308)------------------------------
% 8.20/1.73  % (2716308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/2.15  % (2716308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/2.15  % (2716308)CaDiCaL version: 2.1.3
% 4.90/2.15  % (2716308)Termination reason: Instruction limit
% 4.90/2.15  % (2716308)Termination phase: Saturation
% 4.90/2.15  % (2716308)Time elapsed: 0.049 s
% 4.90/2.15  % (2716308)Peak memory usage: 13 MB
% 4.90/2.15  % (2716308)Instructions burned: 132 (million)
% 4.90/2.15  % (2716315)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3787792482:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.90/2.15  % TRYING [5]
% 4.90/2.15  % (2716313)Instruction limit reached! 
% 4.90/2.15  % (2716313)------------------------------
% 4.90/2.15  % (2716313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/2.15  % (2716313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/2.15  % (2716313)CaDiCaL version: 2.1.3
% 4.90/2.15  % (2716313)Termination reason: Instruction limit
% 4.90/2.15  % (2716313)Termination phase: Saturation
% 4.90/2.15  % (2716313)Time elapsed: 0.057 s
% 4.90/2.15  % (2716313)Peak memory usage: 13 MB
% 4.90/2.15  % (2716313)Instructions burned: 183 (million)
% 4.90/2.15  % (2716317)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2551043619:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 4.90/2.15  % TRYING [1]
% 4.90/2.15  % TRYING [2]
% 4.90/2.15  % TRYING [6]
% 4.90/2.15  % TRYING [3]
% 4.90/2.15  % TRYING [4]
% 4.90/2.15  % (2716307)Instruction limit reached! 
% 4.90/2.15  % (2716307)------------------------------
% 4.90/2.15  % (2716307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/2.15  % (2716307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/2.15  % (2716307)CaDiCaL version: 2.1.3
% 4.90/2.15  % (2716307)Termination reason: Instruction limit
% 4.90/2.15  % (2716307)Termination phase: Finite model building constraint generation
% 4.90/2.15  % (2716307)Time elapsed: 0.168 s
% 4.90/2.15  % (2716307)Peak memory usage: 33 MB
% 4.90/2.15  % (2716307)Instructions burned: 715 (million)
% 4.90/2.15  % (2716319)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=201744810:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 4.90/2.15  % (2716309)Instruction limit reached! 
% 4.90/2.15  % (2716309)------------------------------
% 4.90/2.15  % (2716309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/2.15  % (2716309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/2.15  % (2716309)CaDiCaL version: 2.1.3
% 4.90/2.15  % (2716309)Termination reason: Instruction limit
% 4.90/2.15  % (2716309)Termination phase: Saturation
% 4.90/2.15  % (2716309)Time elapsed: 0.216 s
% 4.90/2.15  % (2716309)Peak memory usage: 21 MB
% 4.90/2.15  % (2716309)Instructions burned: 686 (million)
% 4.90/2.15  % (2716321)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1547478132:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 4.90/2.15  % (2716315)Instruction limit reached! 
% 4.90/2.15  % (2716315)------------------------------
% 4.90/2.15  % (2716315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/2.15  % (2716315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/2.15  % (2716315)CaDiCaL version: 2.1.3
% 4.90/2.15  % (2716315)Termination reason: Instruction limit
% 4.90/2.15  % (2716315)Termination phase: Saturation
% 4.90/2.15  % (2716315)Time elapsed: 0.187 s
% 4.90/2.15  % (2716315)Peak memory usage: 14 MB
% 4.90/2.15  % (2716315)Instructions burned: 479 (million)
% 4.90/2.15  % (2716323)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1216626931:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 4.90/2.15  % (2716317)Instruction limit reached! 
% 4.90/2.15  % (2716317)------------------------------
% 4.90/2.15  % (2716317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/2.15  % (2716317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/2.15  % (2716317)CaDiCaL version: 2.1.3
% 4.90/2.15  % (2716317)Termination reason: Instruction limit
% 4.90/2.15  % (2716317)Termination phase: Finite model building SAT solving
% 4.90/2.15  % (2716317)Time elapsed: 0.204 s
% 4.90/2.15  % (2716317)Peak memory usage: 22 MB
% 4.90/2.15  % (2716317)Instructions burned: 867 (million)
% 4.90/2.15  % (2716325)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=955366624:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 4.90/2.15  % TRYING [7]
% 4.90/2.15  % TRYING [14]
% 4.90/2.15  % (2716321)Instruction limit reached! 
% 4.90/2.15  % (2716321)------------------------------
% 4.90/2.15  % (2716321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/2.15  % (2716321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/2.15  % (2716321)CaDiCaL version: 2.1.3
% 4.90/2.15  % (2716321)Termination reason: Instruction limit
% 4.90/2.15  % (2716321)Termination phase: Finite model building constraint generation
% 4.90/2.15  % (2716321)Time elapsed: 0.226 s
% 4.90/2.15  % (2716321)Peak memory usage: 97 MB
% 4.90/2.15  % (2716321)Instructions burned: 891 (million)
% 4.90/2.15  % (2716327)fmb+10_1_sil=64000:random_seed=1553570409:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 4.90/2.15  % TRYING [1]
% 4.90/2.15  % (2716323)Instruction limit reached! 
% 4.90/2.15  % (2716323)------------------------------
% 4.90/2.15  % (2716323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/2.15  % (2716323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/2.15  % (2716323)CaDiCaL version: 2.1.3
% 4.90/2.15  % (2716323)Termination reason: Instruction limit
% 4.90/2.15  % (2716323)Termination phase: Saturation
% 4.90/2.15  % (2716323)Time elapsed: 0.221 s
% 4.90/2.15  % (2716323)Peak memory usage: 21 MB
% 4.90/2.15  % (2716323)Instructions burned: 693 (million)
% 4.90/2.15  % TRYING [2]
% 4.90/2.15  % TRYING [3]
% 4.90/2.15  % (2716329)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1949449701:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 4.90/2.15  % TRYING [20]
% 4.90/2.15  % TRYING [4]
% 4.90/2.15  % (2716319)Instruction limit reached! 
% 4.90/2.15  % (2716319)------------------------------
% 4.90/2.15  % (2716319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/2.15  % (2716319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/2.15  % (2716319)CaDiCaL version: 2.1.3
% 4.90/2.15  % (2716319)Termination reason: Instruction limit
% 4.90/2.15  % (2716319)Termination phase: Saturation
% 4.90/2.15  % (2716319)Time elapsed: 0.383 s
% 4.90/2.15  % (2716319)Peak memory usage: 22 MB
% 4.90/2.15  % (2716319)Instructions burned: 1181 (million)
% 4.90/2.15  % (2716325)Instruction limit reached! 
% 4.90/2.15  % (2716325)------------------------------
% 4.90/2.15  % (2716325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/2.15  % (2716325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/2.15  % (2716325)CaDiCaL version: 2.1.3
% 4.90/2.15  % (2716325)Termination reason: Instruction limit
% 4.90/2.15  % (2716325)Termination phase: Saturation
% 4.90/2.15  % (2716325)Time elapsed: 0.263 s
% 4.90/2.15  % (2716325)Peak memory usage: 21 MB
% 4.90/2.15  % (2716325)Instructions burned: 885 (million)
% 4.90/2.15  % (2716331)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3640125542:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 4.90/2.15  % (2716332)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3098520101:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 4.90/2.15  % TRYING [8]
% 4.90/2.15  % TRYING [5]
% 4.90/2.15  % (2716331)Instruction limit reached! 
% 4.90/2.15  % (2716331)------------------------------
% 4.90/2.15  % (2716331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/2.15  % (2716331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/2.15  % (2716331)CaDiCaL version: 2.1.3
% 4.90/2.15  % (2716331)Termination reason: Instruction limit
% 4.90/2.15  % (2716331)Termination phase: Finite model building constraint generation
% 4.90/2.15  % (2716331)Time elapsed: 0.197 s
% 4.90/2.15  % (2716331)Peak memory usage: 79 MB
% 4.90/2.15  % (2716331)Instructions burned: 923 (million)
% 4.90/2.15  % (2716335)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=906063910:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 4.90/2.15  % TRYING [6]
% 4.90/2.15  % TRYING [8]
% 4.90/2.15  % (2716335)Instruction limit reached! 
% 4.90/2.15  % (2716335)------------------------------
% 4.90/2.15  % (2716335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/2.15  % (2716335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/2.15  % (2716335)CaDiCaL version: 2.1.3
% 4.90/2.15  % (2716335)Termination reason: Instruction limit
% 4.90/2.15  % (2716335)Termination phase: Saturation
% 4.90/2.15  % (2716335)Time elapsed: 0.475 s
% 4.90/2.15  % (2716335)Peak memory usage: 29 MB
% 4.90/2.15  % (2716335)Instructions burned: 1472 (million)
% 4.90/2.15  % (2716337)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2769267261:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 4.90/2.15  % TRYING [77]
% 4.90/2.15  % TRYING [7]
% 4.90/2.15  % (2716294) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2716288-2716294"...
% 4.90/2.15  % (2716294)...printing done.
% 4.90/2.15  % (2716294)Refutation found. Thanks to Tanya!
% 4.90/2.15  % SZS status Theorem for theBenchmark
% 4.90/2.15  % SZS output start Proof for theBenchmark
% See solution above
% 4.90/2.15  % (2716294)------------------------------
% 4.90/2.15  % (2716294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/2.15  % (2716294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/2.15  % (2716294)CaDiCaL version: 2.1.3
% 4.90/2.15  % (2716294)Termination reason: Refutation
% 4.90/2.15  % (2716294)Time elapsed: 1.726 s
% 4.90/2.15  % (2716294)Peak memory usage: 48 MB
% 4.90/2.15  % (2716294)Instructions burned: 5554 (million)
% 4.90/2.15  % (2716288)Success in time 1.794 s
% 4.90/2.15  % Vampire exiting
%------------------------------------------------------------------------------