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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWX042+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n002.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 01:46:23 PM UTC 2026

% Result   : Theorem 150.33s 38.78s
% Output   : Refutation 150.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  120 (  20 unt;   7 def)
%            Number of atoms       :  415 (  96 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  472 ( 177   ~; 202   |;  62   &)
%                                         (  11 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   8 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :  220 (   0 sgn 186   !;  34   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f24,axiom,
    ! [X0,X1] :
      ( '@<_succeeds'(X0,X1)
    <=> ( ? [X2,X3] :
            ( X0 = s(X2)
            & X1 = s(X3)
            & '@<_succeeds'(X2,X3) )
        | ? [X4] :
            ( X0 = '0'
            & X1 = s(X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',id24) ).

fof(f27,axiom,
    ! [X0] :
      ( nat_succeeds(X0)
    <=> ( ? [X1] :
            ( X0 = s(X1)
            & nat_succeeds(X1) )
        | X0 = '0' ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',id27) ).

fof(f30,axiom,
    ! [X0,X1,X2] :
      ( nat_succeeds(X0)
     => ( '@+'(X0,X1) = X2
      <=> plus_succeeds(X0,X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','(@+)/2') ).

fof(f36,axiom,
    ! [X0,X1,X2] :
      ( plus_succeeds(X0,X1,X2)
     => nat_succeeds(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(plus:types:1)') ).

fof(f37,axiom,
    ! [X0,X1,X2] :
      ( ( plus_succeeds(X0,X1,X2)
        & nat_succeeds(X1) )
     => nat_succeeds(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(plus:types:2)') ).

fof(f43,axiom,
    ! [X0,X1] :
      ( nat_succeeds(X0)
     => ? [X2] : plus_succeeds(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(plus:existence)') ).

fof(f45,axiom,
    ! [X0] : '@+'('0',X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(plus:zero)') ).

fof(f46,axiom,
    ! [X0,X1] :
      ( nat_succeeds(X0)
     => '@+'(s(X0),X1) = s('@+'(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(plus:successor)') ).

fof(f49,axiom,
    ! [X0] :
      ( nat_succeeds(X0)
     => '@+'(X0,'0') = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(plus:zero)') ).

fof(f103,axiom,
    ( ! [X0] :
        ( ( ? [X1] :
              ( X0 = s(X1)
              & nat_succeeds(X1)
              & ! [X2,X3] :
                  ( '@<_succeeds'(X2,X3)
                 => '@<_succeeds'('@+'(X1,X2),'@+'(X1,X3)) ) )
          | X0 = '0' )
       => ! [X2,X3] :
            ( '@<_succeeds'(X2,X3)
           => '@<_succeeds'('@+'(X0,X2),'@+'(X0,X3)) ) )
   => ! [X0] :
        ( nat_succeeds(X0)
       => ! [X2,X3] :
            ( '@<_succeeds'(X2,X3)
           => '@<_succeeds'('@+'(X0,X2),'@+'(X0,X3)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction) ).

fof(f104,conjecture,
    ! [X0,X1,X2] :
      ( ( nat_succeeds(X0)
        & '@<_succeeds'(X1,X2) )
     => '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(less:plus:second)') ).

fof(f105,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( nat_succeeds(X0)
          & '@<_succeeds'(X1,X2) )
       => '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2)) ),
    inference(negated_conjecture,[status(cth)],[f104]) ).

fof(f115,plain,
    ( ! [X0] :
        ( ( ? [X1] :
              ( X0 = s(X1)
              & nat_succeeds(X1)
              & ! [X2,X3] :
                  ( '@<_succeeds'(X2,X3)
                 => '@<_succeeds'('@+'(X1,X2),'@+'(X1,X3)) ) )
          | X0 = '0' )
       => ! [X4,X5] :
            ( '@<_succeeds'(X4,X5)
           => '@<_succeeds'('@+'(X0,X4),'@+'(X0,X5)) ) )
   => ! [X6] :
        ( nat_succeeds(X6)
       => ! [X7,X8] :
            ( '@<_succeeds'(X7,X8)
           => '@<_succeeds'('@+'(X6,X7),'@+'(X6,X8)) ) ) ),
    inference(rectify,[],[f103]) ).

fof(f132,plain,
    ! [X0,X1,X2] :
      ( ( '@+'(X0,X1) = X2
      <=> plus_succeeds(X0,X1,X2) )
      | ~ nat_succeeds(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f139,plain,
    ! [X0,X1,X2] :
      ( nat_succeeds(X0)
      | ~ plus_succeeds(X0,X1,X2) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f140,plain,
    ! [X0,X1,X2] :
      ( nat_succeeds(X2)
      | ~ plus_succeeds(X0,X1,X2)
      | ~ nat_succeeds(X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f141,plain,
    ! [X0,X1,X2] :
      ( nat_succeeds(X2)
      | ~ plus_succeeds(X0,X1,X2)
      | ~ nat_succeeds(X1) ),
    inference(flattening,[],[f140]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ? [X2] : plus_succeeds(X0,X1,X2)
      | ~ nat_succeeds(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( '@+'(s(X0),X1) = s('@+'(X0,X1))
      | ~ nat_succeeds(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f158,plain,
    ! [X0] :
      ( '@+'(X0,'0') = X0
      | ~ nat_succeeds(X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f240,plain,
    ( ! [X6] :
        ( ! [X7,X8] :
            ( '@<_succeeds'('@+'(X6,X7),'@+'(X6,X8))
            | ~ '@<_succeeds'(X7,X8) )
        | ~ nat_succeeds(X6) )
    | ? [X0] :
        ( ? [X4,X5] :
            ( ~ '@<_succeeds'('@+'(X0,X4),'@+'(X0,X5))
            & '@<_succeeds'(X4,X5) )
        & ( ? [X1] :
              ( X0 = s(X1)
              & nat_succeeds(X1)
              & ! [X2,X3] :
                  ( '@<_succeeds'('@+'(X1,X2),'@+'(X1,X3))
                  | ~ '@<_succeeds'(X2,X3) ) )
          | X0 = '0' ) ) ),
    inference(ennf_transformation,[],[f115]) ).

fof(f241,plain,
    ? [X0,X1,X2] :
      ( ~ '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
      & nat_succeeds(X0)
      & '@<_succeeds'(X1,X2) ),
    inference(ennf_transformation,[],[f105]) ).

fof(f242,plain,
    ? [X0,X1,X2] :
      ( ~ '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
      & nat_succeeds(X0)
      & '@<_succeeds'(X1,X2) ),
    inference(flattening,[],[f241]) ).

fof(f277,plain,
    ! [X0,X1] :
      ( ( '@<_succeeds'(X0,X1)
        | ( ! [X2,X3] :
              ( s(X2) != X0
              | s(X3) != X1
              | ~ '@<_succeeds'(X2,X3) )
          & ! [X4] :
              ( '0' != X0
              | s(X4) != X1 ) ) )
      & ( ? [X2,X3] :
            ( X0 = s(X2)
            & X1 = s(X3)
            & '@<_succeeds'(X2,X3) )
        | ? [X4] :
            ( X0 = '0'
            & X1 = s(X4) )
        | ~ '@<_succeeds'(X0,X1) ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f278,plain,
    ! [X0,X1] :
      ( ( '@<_succeeds'(X0,X1)
        | ( ! [X2,X3] :
              ( s(X2) != X0
              | s(X3) != X1
              | ~ '@<_succeeds'(X2,X3) )
          & ! [X4] :
              ( '0' != X0
              | s(X4) != X1 ) ) )
      & ( ? [X2,X3] :
            ( X0 = s(X2)
            & X1 = s(X3)
            & '@<_succeeds'(X2,X3) )
        | ? [X4] :
            ( X0 = '0'
            & X1 = s(X4) )
        | ~ '@<_succeeds'(X0,X1) ) ),
    inference(flattening,[],[f277]) ).

fof(f279,plain,
    ! [X0,X1] :
      ( ( '@<_succeeds'(X0,X1)
        | ( ! [X2,X3] :
              ( s(X2) != X0
              | s(X3) != X1
              | ~ '@<_succeeds'(X2,X3) )
          & ! [X4] :
              ( '0' != X0
              | s(X4) != X1 ) ) )
      & ( ? [X5,X6] :
            ( s(X5) = X0
            & s(X6) = X1
            & '@<_succeeds'(X5,X6) )
        | ? [X7] :
            ( X0 = '0'
            & s(X7) = X1 )
        | ~ '@<_succeeds'(X0,X1) ) ),
    inference(rectify,[],[f278]) ).

fof(f280,plain,
    ! [X0,X1] :
      ( ( '@<_succeeds'(X0,X1)
        | ( ! [X2,X3] :
              ( s(X2) != X0
              | s(X3) != X1
              | ~ '@<_succeeds'(X2,X3) )
          & ! [X4] :
              ( '0' != X0
              | s(X4) != X1 ) ) )
      & ( ( s(sK18(X0,X1)) = X0
          & s(sK19(X0,X1)) = X1
          & '@<_succeeds'(sK18(X0,X1),sK19(X0,X1)) )
        | ( X0 = '0'
          & s(sK20(X0,X1)) = X1 )
        | ~ '@<_succeeds'(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X5,sK18(X0,X1)),skolemize(X6,sK19(X0,X1)),skolemize(X7,sK20(X0,X1))],[f279]) ).

fof(f288,plain,
    ! [X0] :
      ( ( nat_succeeds(X0)
        | ( ! [X1] :
              ( s(X1) != X0
              | ~ nat_succeeds(X1) )
          & '0' != X0 ) )
      & ( ? [X1] :
            ( X0 = s(X1)
            & nat_succeeds(X1) )
        | X0 = '0'
        | ~ nat_succeeds(X0) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f289,plain,
    ! [X0] :
      ( ( nat_succeeds(X0)
        | ( ! [X1] :
              ( s(X1) != X0
              | ~ nat_succeeds(X1) )
          & '0' != X0 ) )
      & ( ? [X1] :
            ( X0 = s(X1)
            & nat_succeeds(X1) )
        | X0 = '0'
        | ~ nat_succeeds(X0) ) ),
    inference(flattening,[],[f288]) ).

fof(f290,plain,
    ! [X0] :
      ( ( nat_succeeds(X0)
        | ( ! [X1] :
              ( s(X1) != X0
              | ~ nat_succeeds(X1) )
          & '0' != X0 ) )
      & ( ? [X2] :
            ( s(X2) = X0
            & nat_succeeds(X2) )
        | X0 = '0'
        | ~ nat_succeeds(X0) ) ),
    inference(rectify,[],[f289]) ).

fof(f291,plain,
    ! [X0] :
      ( ( nat_succeeds(X0)
        | ( ! [X1] :
              ( s(X1) != X0
              | ~ nat_succeeds(X1) )
          & '0' != X0 ) )
      & ( ( s(sK26(X0)) = X0
          & nat_succeeds(sK26(X0)) )
        | X0 = '0'
        | ~ nat_succeeds(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X2,sK26(X0))],[f290]) ).

fof(f299,plain,
    ! [X0,X1,X2] :
      ( ( ( '@+'(X0,X1) = X2
          | ~ plus_succeeds(X0,X1,X2) )
        & ( plus_succeeds(X0,X1,X2)
          | '@+'(X0,X1) != X2 ) )
      | ~ nat_succeeds(X0) ),
    inference(nnf_transformation,[],[f132]) ).

fof(f301,plain,
    ! [X0,X1] :
      ( plus_succeeds(X0,X1,sK29(X0,X1))
      | ~ nat_succeeds(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X2,sK29(X0,X1))],[f150]) ).

fof(f308,plain,
    ( ! [X0] :
        ( ! [X1,X2] :
            ( '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
            | ~ '@<_succeeds'(X1,X2) )
        | ~ nat_succeeds(X0) )
    | ? [X3] :
        ( ? [X4,X5] :
            ( ~ '@<_succeeds'('@+'(X3,X4),'@+'(X3,X5))
            & '@<_succeeds'(X4,X5) )
        & ( ? [X6] :
              ( s(X6) = X3
              & nat_succeeds(X6)
              & ! [X7,X8] :
                  ( '@<_succeeds'('@+'(X6,X7),'@+'(X6,X8))
                  | ~ '@<_succeeds'(X7,X8) ) )
          | '0' = X3 ) ) ),
    inference(rectify,[],[f240]) ).

fof(f309,plain,
    ( ! [X0] :
        ( ! [X1,X2] :
            ( '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
            | ~ '@<_succeeds'(X1,X2) )
        | ~ nat_succeeds(X0) )
    | ( ~ '@<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38))
      & '@<_succeeds'(sK37,sK38)
      & ( ( sK36 = s(sK39)
          & nat_succeeds(sK39)
          & ! [X7,X8] :
              ( '@<_succeeds'('@+'(sK39,X7),'@+'(sK39,X8))
              | ~ '@<_succeeds'(X7,X8) ) )
        | '0' = sK36 ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37,sK38,sK39]),skolemize(X3,sK36),skolemize(X4,sK37),skolemize(X5,sK38),skolemize(X6,sK39)],[f308]) ).

fof(f310,plain,
    ( ~ '@<_succeeds'('@+'(sK40,sK41),'@+'(sK40,sK42))
    & nat_succeeds(sK40)
    & '@<_succeeds'(sK41,sK42) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41,sK42]),skolemize(X0,sK40),skolemize(X1,sK41),skolemize(X2,sK42)],[f242]) ).

fof(f388,plain,
    ! [X2,X3,X0,X1] :
      ( '@<_succeeds'(X0,X1)
      | s(X2) != X0
      | s(X3) != X1
      | ~ '@<_succeeds'(X2,X3) ),
    inference(cnf_transformation,[],[f280]) ).

fof(f403,plain,
    ! [X0] :
      ( nat_succeeds(X0)
      | '0' != X0 ),
    inference(cnf_transformation,[],[f291]) ).

fof(f413,plain,
    ! [X2,X0,X1] :
      ( '@+'(X0,X1) = X2
      | ~ plus_succeeds(X0,X1,X2)
      | ~ nat_succeeds(X0) ),
    inference(cnf_transformation,[],[f299]) ).

fof(f420,plain,
    ! [X2,X0,X1] :
      ( ~ plus_succeeds(X0,X1,X2)
      | nat_succeeds(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f421,plain,
    ! [X2,X0,X1] :
      ( ~ plus_succeeds(X0,X1,X2)
      | nat_succeeds(X2)
      | ~ nat_succeeds(X1) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f427,plain,
    ! [X0,X1] :
      ( ~ nat_succeeds(X0)
      | plus_succeeds(X0,X1,sK29(X0,X1)) ),
    inference(cnf_transformation,[],[f301]) ).

fof(f429,plain,
    ! [X0] : '@+'('0',X0) = X0,
    inference(cnf_transformation,[],[f45]) ).

fof(f430,plain,
    ! [X0,X1] :
      ( ~ nat_succeeds(X0)
      | '@+'(s(X0),X1) = s('@+'(X0,X1)) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f433,plain,
    ! [X0] :
      ( ~ nat_succeeds(X0)
      | '@+'(X0,'0') = X0 ),
    inference(cnf_transformation,[],[f158]) ).

fof(f487,plain,
    ! [X2,X0,X1,X8,X7] :
      ( '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
      | ~ '@<_succeeds'(X1,X2)
      | ~ nat_succeeds(X0)
      | '@<_succeeds'('@+'(sK39,X7),'@+'(sK39,X8))
      | ~ '@<_succeeds'(X7,X8)
      | '0' = sK36 ),
    inference(cnf_transformation,[],[f309]) ).

fof(f488,plain,
    ! [X2,X0,X1] :
      ( '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
      | ~ '@<_succeeds'(X1,X2)
      | ~ nat_succeeds(X0)
      | nat_succeeds(sK39)
      | '0' = sK36 ),
    inference(cnf_transformation,[],[f309]) ).

fof(f489,plain,
    ! [X2,X0,X1] :
      ( '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
      | ~ '@<_succeeds'(X1,X2)
      | ~ nat_succeeds(X0)
      | sK36 = s(sK39)
      | '0' = sK36 ),
    inference(cnf_transformation,[],[f309]) ).

fof(f490,plain,
    ! [X2,X0,X1] :
      ( '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
      | ~ '@<_succeeds'(X1,X2)
      | ~ nat_succeeds(X0)
      | '@<_succeeds'(sK37,sK38) ),
    inference(cnf_transformation,[],[f309]) ).

fof(f491,plain,
    ! [X2,X0,X1] :
      ( '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
      | ~ '@<_succeeds'(X1,X2)
      | ~ nat_succeeds(X0)
      | ~ '@<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38)) ),
    inference(cnf_transformation,[],[f309]) ).

fof(f492,plain,
    '@<_succeeds'(sK41,sK42),
    inference(cnf_transformation,[],[f310]) ).

fof(f493,plain,
    nat_succeeds(sK40),
    inference(cnf_transformation,[],[f310]) ).

fof(f494,plain,
    ~ '@<_succeeds'('@+'(sK40,sK41),'@+'(sK40,sK42)),
    inference(cnf_transformation,[],[f310]) ).

fof(f521,plain,
    ! [X2,X3,X1] :
      ( '@<_succeeds'(s(X2),X1)
      | s(X3) != X1
      | ~ '@<_succeeds'(X2,X3) ),
    inference(equality_resolution,[],[f388]) ).

fof(f522,plain,
    ! [X2,X3] :
      ( ~ '@<_succeeds'(X2,X3)
      | '@<_succeeds'(s(X2),s(X3)) ),
    inference(equality_resolution,[],[f521]) ).

fof(f532,plain,
    nat_succeeds('0'),
    inference(equality_resolution,[],[f403]) ).

fof(f1278,plain,
    sK40 = '@+'(sK40,'0'),
    inference(resolution,[],[f433,f493]) ).

fof(f2468,plain,
    ! [X0] : plus_succeeds(sK40,X0,sK29(sK40,X0)),
    inference(resolution,[],[f427,f493]) ).

fof(f2557,plain,
    ! [X0] :
      ( ~ nat_succeeds(X0)
      | nat_succeeds(sK29(sK40,X0)) ),
    inference(resolution,[],[f2468,f421]) ).

fof(f2877,plain,
    nat_succeeds(sK29(sK40,'0')),
    inference(resolution,[],[f2557,f532]) ).

fof(f13272,plain,
    ! [X2,X0,X1] :
      ( ~ plus_succeeds(X0,X1,X2)
      | '@+'(X0,X1) = X2 ),
    inference(forward_subsumption_resolution,[],[f413,f420]) ).

fof(f13304,plain,
    ! [X0] : sK29(sK40,X0) = '@+'(sK40,X0),
    inference(resolution,[],[f13272,f2468]) ).

fof(f25666,definition,
    ( spl43_18
  <=> '@<_succeeds'(sK37,sK38) ),
    introduced(definition,[new_symbols(definition,[spl43_18])],[avatar_definition]) ).

fof(f25668,plain,
    ( '@<_succeeds'(sK37,sK38)
    | ~ spl43_18 ),
    inference(avatar_component_clause,[],[f25666]) ).

fof(f25670,definition,
    ( spl43_19
  <=> ! [X2,X0,X1] :
        ( '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
        | ~ nat_succeeds(X0)
        | ~ '@<_succeeds'(X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl43_19])],[avatar_definition]) ).

fof(f25671,plain,
    ( ! [X2,X0,X1] :
        ( ~ '@<_succeeds'(X1,X2)
        | ~ nat_succeeds(X0)
        | '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2)) )
    | ~ spl43_19 ),
    inference(avatar_component_clause,[],[f25670]) ).

fof(f25672,plain,
    ( spl43_18
    | spl43_19 ),
    inference(avatar_split_clause,[],[f490,f25670,f25666]) ).

fof(f30155,definition,
    ( spl43_28
  <=> '0' = sK36 ),
    introduced(definition,[new_symbols(definition,[spl43_28])],[avatar_definition]) ).

fof(f30156,plain,
    ( '0' != sK36
    | spl43_28 ),
    inference(avatar_component_clause,[],[f30155]) ).

fof(f30157,plain,
    ( '0' = sK36
    | ~ spl43_28 ),
    inference(avatar_component_clause,[],[f30155]) ).

fof(f30159,definition,
    ( spl43_29
  <=> nat_succeeds(sK39) ),
    introduced(definition,[new_symbols(definition,[spl43_29])],[avatar_definition]) ).

fof(f30161,plain,
    ( nat_succeeds(sK39)
    | ~ spl43_29 ),
    inference(avatar_component_clause,[],[f30159]) ).

fof(f30162,plain,
    ( spl43_28
    | spl43_29
    | spl43_19 ),
    inference(avatar_split_clause,[],[f488,f25670,f30159,f30155]) ).

fof(f30355,plain,
    ( ! [X0] :
        ( ~ nat_succeeds(X0)
        | '@<_succeeds'('@+'(X0,sK41),'@+'(X0,sK42)) )
    | ~ spl43_19 ),
    inference(resolution,[],[f25671,f492]) ).

fof(f39676,plain,
    ( '@<_succeeds'('@+'(sK29(sK40,'0'),sK41),'@+'(sK29(sK40,'0'),sK42))
    | ~ spl43_19 ),
    inference(resolution,[],[f30355,f2877]) ).

fof(f39712,plain,
    ( '@<_succeeds'('@+'('@+'(sK40,'0'),sK41),'@+'('@+'(sK40,'0'),sK42))
    | ~ spl43_19 ),
    inference(forward_demodulation,[],[f39676,f13304]) ).

fof(f39760,plain,
    ( '@<_succeeds'('@+'(sK40,sK41),'@+'(sK40,sK42))
    | ~ spl43_19 ),
    inference(forward_demodulation,[],[f39712,f1278]) ).

fof(f39786,plain,
    ( $false
    | ~ spl43_19 ),
    inference(forward_subsumption_resolution,[],[f39760,f494]) ).

fof(f39787,plain,
    ~ spl43_19,
    inference(avatar_contradiction_clause,[],[f39786]) ).

fof(f40620,plain,
    ( ! [X2,X0,X1] :
        ( ~ '@<_succeeds'('@+'('0',sK37),'@+'('0',sK38))
        | '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
        | ~ '@<_succeeds'(X1,X2)
        | ~ nat_succeeds(X0) )
    | ~ spl43_28 ),
    inference(forward_demodulation,[],[f491,f30157]) ).

fof(f40621,plain,
    ( ! [X2,X0,X1] :
        ( ~ '@<_succeeds'('@+'('0',sK37),sK38)
        | '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
        | ~ '@<_succeeds'(X1,X2)
        | ~ nat_succeeds(X0) )
    | ~ spl43_28 ),
    inference(forward_demodulation,[],[f40620,f429]) ).

fof(f40622,plain,
    ( ! [X2,X0,X1] :
        ( ~ '@<_succeeds'(sK37,sK38)
        | '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
        | ~ '@<_succeeds'(X1,X2)
        | ~ nat_succeeds(X0) )
    | ~ spl43_28 ),
    inference(forward_demodulation,[],[f40621,f429]) ).

fof(f40623,plain,
    ( ! [X2,X0,X1] :
        ( '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
        | ~ '@<_succeeds'(X1,X2)
        | ~ nat_succeeds(X0) )
    | ~ spl43_18
    | ~ spl43_28 ),
    inference(forward_subsumption_resolution,[],[f40622,f25668]) ).

fof(f40719,plain,
    ( spl43_19
    | ~ spl43_18
    | ~ spl43_28 ),
    inference(avatar_split_clause,[],[f40623,f30155,f25666,f25670]) ).

fof(f41102,plain,
    ( ! [X0] : '@+'(s(sK39),X0) = s('@+'(sK39,X0))
    | ~ spl43_29 ),
    inference(resolution,[],[f30161,f430]) ).

fof(f41713,plain,
    ( ! [X2,X0,X1] :
        ( '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
        | ~ '@<_succeeds'(X1,X2)
        | ~ nat_succeeds(X0)
        | sK36 = s(sK39) )
    | spl43_28 ),
    inference(forward_subsumption_resolution,[],[f489,f30156]) ).

fof(f41922,definition,
    ( spl43_32
  <=> sK36 = s(sK39) ),
    introduced(definition,[new_symbols(definition,[spl43_32])],[avatar_definition]) ).

fof(f41924,plain,
    ( sK36 = s(sK39)
    | ~ spl43_32 ),
    inference(avatar_component_clause,[],[f41922]) ).

fof(f41925,plain,
    ( spl43_32
    | spl43_19
    | spl43_28 ),
    inference(avatar_split_clause,[],[f41713,f30155,f25670,f41922]) ).

fof(f42091,definition,
    ( spl43_33
  <=> '@<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38)) ),
    introduced(definition,[new_symbols(definition,[spl43_33])],[avatar_definition]) ).

fof(f42093,plain,
    ( ~ '@<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38))
    | spl43_33 ),
    inference(avatar_component_clause,[],[f42091]) ).

fof(f42094,plain,
    ( ~ spl43_33
    | spl43_19 ),
    inference(avatar_split_clause,[],[f491,f25670,f42091]) ).

fof(f42961,plain,
    ( ! [X2,X0,X1,X8,X7] :
        ( '@<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
        | ~ '@<_succeeds'(X1,X2)
        | ~ nat_succeeds(X0)
        | '@<_succeeds'('@+'(sK39,X7),'@+'(sK39,X8))
        | ~ '@<_succeeds'(X7,X8) )
    | spl43_28 ),
    inference(forward_subsumption_resolution,[],[f487,f30156]) ).

fof(f43107,definition,
    ( spl43_34
  <=> ! [X8,X7] :
        ( '@<_succeeds'('@+'(sK39,X7),'@+'(sK39,X8))
        | ~ '@<_succeeds'(X7,X8) ) ),
    introduced(definition,[new_symbols(definition,[spl43_34])],[avatar_definition]) ).

fof(f43108,plain,
    ( ! [X8,X7] :
        ( ~ '@<_succeeds'(X7,X8)
        | '@<_succeeds'('@+'(sK39,X7),'@+'(sK39,X8)) )
    | ~ spl43_34 ),
    inference(avatar_component_clause,[],[f43107]) ).

fof(f43109,plain,
    ( spl43_34
    | spl43_19
    | spl43_28 ),
    inference(avatar_split_clause,[],[f42961,f30155,f25670,f43107]) ).

fof(f43261,plain,
    ( '@<_succeeds'('@+'(sK39,sK37),'@+'(sK39,sK38))
    | ~ spl43_18
    | ~ spl43_34 ),
    inference(resolution,[],[f43108,f25668]) ).

fof(f90928,plain,
    ( ! [X0] : s('@+'(sK39,X0)) = '@+'(sK36,X0)
    | ~ spl43_29
    | ~ spl43_32 ),
    inference(forward_demodulation,[],[f41102,f41924]) ).

fof(f224756,plain,
    ( '@<_succeeds'(s('@+'(sK39,sK37)),s('@+'(sK39,sK38)))
    | ~ spl43_18
    | ~ spl43_34 ),
    inference(resolution,[],[f43261,f522]) ).

fof(f224763,plain,
    ( '@<_succeeds'(s('@+'(sK39,sK37)),'@+'(sK36,sK38))
    | ~ spl43_18
    | ~ spl43_29
    | ~ spl43_32
    | ~ spl43_34 ),
    inference(forward_demodulation,[],[f224756,f90928]) ).

fof(f224765,plain,
    ( '@<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38))
    | ~ spl43_18
    | ~ spl43_29
    | ~ spl43_32
    | ~ spl43_34 ),
    inference(forward_demodulation,[],[f224763,f90928]) ).

fof(f224766,plain,
    ( $false
    | ~ spl43_18
    | ~ spl43_29
    | ~ spl43_32
    | spl43_33
    | ~ spl43_34 ),
    inference(forward_subsumption_resolution,[],[f224765,f42093]) ).

fof(f224767,plain,
    ( ~ spl43_18
    | ~ spl43_29
    | ~ spl43_32
    | spl43_33
    | ~ spl43_34 ),
    inference(avatar_contradiction_clause,[],[f224766]) ).

cnf(s14,plain,
    ( spl43_18
    | spl43_19 ),
    inference(sat_conversion,[],[f25672]) ).

cnf(s19,plain,
    ( spl43_19
    | spl43_28
    | spl43_29 ),
    inference(sat_conversion,[],[f30162]) ).

cnf(s50,plain,
    ~ spl43_19,
    inference(sat_conversion,[],[f39787]) ).

cnf(s53,plain,
    ( ~ spl43_18
    | spl43_19
    | ~ spl43_28 ),
    inference(sat_conversion,[],[f40719]) ).

cnf(s54,plain,
    ( spl43_19
    | spl43_28
    | spl43_32 ),
    inference(sat_conversion,[],[f41925]) ).

cnf(s55,plain,
    ( spl43_19
    | ~ spl43_33 ),
    inference(sat_conversion,[],[f42094]) ).

cnf(s56,plain,
    ( spl43_19
    | spl43_28
    | spl43_34 ),
    inference(sat_conversion,[],[f43109]) ).

cnf(s155,plain,
    ( ~ spl43_18
    | ~ spl43_29
    | ~ spl43_32
    | spl43_33
    | ~ spl43_34 ),
    inference(sat_conversion,[],[f224767]) ).

cnf(s156,plain,
    ~ spl43_33,
    inference(rat,[],[s55,s50]) ).

cnf(s157,plain,
    ( spl43_28
    | spl43_29 ),
    inference(rat,[],[s19,s50]) ).

cnf(s158,plain,
    spl43_18,
    inference(rat,[],[s14,s50]) ).

cnf(s159,plain,
    ~ spl43_28,
    inference(rat,[],[s53,s50,s158]) ).

cnf(s160,plain,
    spl43_34,
    inference(rat,[],[s56,s50,s159]) ).

cnf(s161,plain,
    spl43_32,
    inference(rat,[],[s54,s50,s159]) ).

cnf(s162,plain,
    spl43_29,
    inference(rat,[],[s157,s159]) ).

cnf(s163,plain,
    $false,
    inference(rat,[],[s155,s160,s156,s158,s161,s162]) ).

fof(f224768,plain,
    $false,
    inference(avatar_sat_refutation,[],[s163]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWX042+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20  % Computer : n002.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 14:58:37 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  Running first-order model finding
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.63/4.17  % (414054)Will run a generic schedule for satisfiability detection.
% 27.63/4.17  % (414064)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4100855919:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 27.63/4.17  % (414060)% WARNING: option uhcvi not known.
% 27.63/4.17  % (414059)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3188700924_2999 on theBenchmark for (2999ds/0Mi)
% 27.63/4.17  % (414060)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4076732901:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 27.63/4.17  % (414061)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2742988061:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 27.63/4.17  % (414062)dis+10_1_sil=32000:sp=arity:random_seed=358227302:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 27.63/4.17  % (414063)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4066765446:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 27.63/4.17  % (414065)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3398500150:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 27.63/4.17  % TRYING [1]
% 27.63/4.17  % TRYING [2]
% 27.63/4.17  % TRYING [3]
% 27.63/4.17  % TRYING [4]
% 27.63/4.17  % (414064)Instruction limit reached! 
% 27.63/4.17  % (414064)------------------------------
% 27.63/4.17  % (414064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.63/4.17  % (414064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/4.17  % (414064)CaDiCaL version: 2.1.3
% 27.63/4.17  % (414064)Termination reason: Instruction limit
% 27.63/4.17  % (414064)Termination phase: Saturation
% 27.63/4.17  % (414064)Time elapsed: 0.044 s
% 27.63/4.17  % (414064)Peak memory usage: 13 MB
% 27.63/4.17  % (414064)Instructions burned: 133 (million)
% 27.63/4.17  % (414073)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1269444249:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 27.63/4.17  % TRYING [1]
% 27.63/4.17  % TRYING [2]
% 27.63/4.17  % TRYING [3]
% 27.63/4.17  % (414062)Instruction limit reached! 
% 27.63/4.17  % (414062)------------------------------
% 27.63/4.17  % (414062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.63/4.17  % (414062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/4.17  % (414062)CaDiCaL version: 2.1.3
% 27.63/4.17  % (414062)Termination reason: Instruction limit
% 27.63/4.17  % (414062)Termination phase: Saturation
% 27.63/4.17  % (414062)Time elapsed: 0.067 s
% 27.63/4.17  % (414062)Peak memory usage: 13 MB
% 27.63/4.17  % (414062)Instructions burned: 103 (million)
% 27.63/4.17  % TRYING [4]
% 27.63/4.17  % (414063)Instruction limit reached! 
% 27.63/4.17  % (414063)------------------------------
% 27.63/4.17  % (414063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.63/4.17  % (414063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/4.17  % (414063)CaDiCaL version: 2.1.3
% 27.63/4.17  % (414063)Termination reason: Instruction limit
% 27.63/4.17  % (414063)Termination phase: Saturation
% 27.63/4.17  % (414063)Time elapsed: 0.074 s
% 27.63/4.17  % (414063)Peak memory usage: 13 MB
% 27.63/4.17  % (414063)Instructions burned: 116 (million)
% 27.63/4.17  % (414075)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1582258063:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 27.63/4.17  % (414076)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=2242414100:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 27.63/4.17  % TRYING [5]
% 27.63/4.17  % (414065)Instruction limit reached! 
% 27.63/4.17  % (414065)------------------------------
% 27.63/4.17  % (414065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.63/4.17  % (414065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/4.17  % (414065)CaDiCaL version: 2.1.3
% 27.63/4.17  % (414065)Termination reason: Instruction limit
% 27.63/4.17  % (414065)Termination phase: Saturation
% 27.63/4.17  % (414065)Time elapsed: 0.102 s
% 27.63/4.17  % (414065)Peak memory usage: 15 MB
% 27.63/4.17  % (414065)Instructions burned: 159 (million)
% 27.63/4.17  % TRYING [5]
% 27.63/4.17  % (414079)ott-21_1_sil=16000:fs=off:random_seed=630991366:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 27.63/4.17  % (414075)Instruction limit reached! 
% 27.63/4.17  % (414075)------------------------------
% 27.63/4.17  % (414075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.63/4.17  % (414075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.17/7.09  % (414075)CaDiCaL version: 2.1.3
% 48.17/7.09  % (414075)Termination reason: Instruction limit
% 48.17/7.09  % (414075)Termination phase: Saturation
% 48.17/7.09  % (414075)Time elapsed: 0.082 s
% 48.17/7.09  % (414075)Peak memory usage: 13 MB
% 48.17/7.09  % (414075)Instructions burned: 133 (million)
% 48.17/7.09  % (414081)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=701199841:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 48.17/7.09  % (414073)Instruction limit reached! 
% 48.17/7.09  % (414073)------------------------------
% 48.17/7.09  % (414073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.17/7.09  % (414073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.17/7.09  % (414073)CaDiCaL version: 2.1.3
% 48.17/7.09  % (414073)Termination reason: Instruction limit
% 48.17/7.09  % (414073)Termination phase: Finite model building SAT solving
% 48.17/7.09  % (414073)Time elapsed: 0.150 s
% 48.17/7.09  % (414073)Peak memory usage: 36 MB
% 48.17/7.09  % (414073)Instructions burned: 718 (million)
% 48.17/7.09  % (414083)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2390618251:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 48.17/7.09  % (414079)Instruction limit reached! 
% 48.17/7.09  % (414079)------------------------------
% 48.17/7.09  % (414079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.17/7.09  % (414079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.17/7.09  % (414079)CaDiCaL version: 2.1.3
% 48.17/7.09  % (414079)Termination reason: Instruction limit
% 48.17/7.09  % (414079)Termination phase: Saturation
% 48.17/7.09  % (414079)Time elapsed: 0.090 s
% 48.17/7.09  % (414079)Peak memory usage: 13 MB
% 48.17/7.09  % (414079)Instructions burned: 181 (million)
% 48.17/7.09  % TRYING [1]
% 48.17/7.09  % TRYING [2]
% 48.17/7.09  % TRYING [3]
% 48.17/7.09  % (414085)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=727096071:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 48.17/7.09  % TRYING [4]
% 48.17/7.09  % TRYING [6]
% 48.17/7.09  % TRYING [5]
% 48.17/7.09  % (414083)Instruction limit reached! 
% 48.17/7.09  % (414083)------------------------------
% 48.17/7.09  % (414083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.17/7.09  % (414083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.17/7.09  % (414083)CaDiCaL version: 2.1.3
% 48.17/7.09  % (414083)Termination reason: Instruction limit
% 48.17/7.09  % (414083)Termination phase: Finite model building constraint generation
% 48.17/7.09  % (414083)Time elapsed: 0.183 s
% 48.17/7.09  % (414083)Peak memory usage: 26 MB
% 48.17/7.09  % (414083)Instructions burned: 868 (million)
% 48.17/7.09  % (414087)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1088996243:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 48.17/7.09  % (414081)Instruction limit reached! 
% 48.17/7.09  % (414081)------------------------------
% 48.17/7.09  % (414081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.17/7.09  % (414081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.17/7.09  % (414081)CaDiCaL version: 2.1.3
% 48.17/7.09  % (414081)Termination reason: Instruction limit
% 48.17/7.09  % (414081)Termination phase: Saturation
% 48.17/7.09  % (414081)Time elapsed: 0.330 s
% 48.17/7.09  % (414081)Peak memory usage: 14 MB
% 48.17/7.09  % (414081)Instructions burned: 478 (million)
% 48.17/7.09  % (414076)Instruction limit reached! 
% 48.17/7.09  % (414076)------------------------------
% 48.17/7.09  % (414076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.17/7.09  % (414076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.17/7.09  % (414076)CaDiCaL version: 2.1.3
% 48.17/7.09  % (414076)Termination reason: Instruction limit
% 48.17/7.09  % (414076)Termination phase: Saturation
% 48.17/7.09  % (414076)Time elapsed: 0.429 s
% 48.17/7.09  % (414076)Peak memory usage: 21 MB
% 48.17/7.09  % (414076)Instructions burned: 685 (million)
% 48.17/7.09  % (414089)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=4164091320:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 48.17/7.09  % (414090)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=454250617:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 48.17/7.09  % TRYING [14]
% 48.17/7.09  % (414087)Instruction limit reached! 
% 48.17/7.09  % (414087)------------------------------
% 48.17/7.09  % (414087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.45/11.38  % (414087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.45/11.38  % (414087)CaDiCaL version: 2.1.3
% 78.45/11.38  % (414087)Termination reason: Instruction limit
% 78.45/11.38  % (414087)Termination phase: Finite model building constraint generation
% 78.45/11.38  % (414087)Time elapsed: 0.235 s
% 78.45/11.38  % (414087)Peak memory usage: 104 MB
% 78.45/11.38  % (414087)Instructions burned: 896 (million)
% 78.45/11.38  % (414093)fmb+10_1_sil=64000:random_seed=3189340388:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 78.45/11.38  % TRYING [1]
% 78.45/11.38  % TRYING [2]
% 78.45/11.38  % TRYING [3]
% 78.45/11.38  % TRYING [4]
% 78.45/11.38  % TRYING [7]
% 78.45/11.38  % TRYING [5]
% 78.45/11.38  % (414085)Instruction limit reached! 
% 78.45/11.38  % (414085)------------------------------
% 78.45/11.38  % (414085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.45/11.38  % (414085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.45/11.38  % (414085)CaDiCaL version: 2.1.3
% 78.45/11.38  % (414085)Termination reason: Instruction limit
% 78.45/11.38  % (414085)Termination phase: Saturation
% 78.45/11.38  % (414085)Time elapsed: 0.722 s
% 78.45/11.38  % (414085)Peak memory usage: 25 MB
% 78.45/11.38  % (414085)Instructions burned: 1180 (million)
% 78.45/11.38  % (414089)Instruction limit reached! 
% 78.45/11.38  % (414089)------------------------------
% 78.45/11.38  % (414089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.45/11.38  % (414089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.45/11.38  % (414089)CaDiCaL version: 2.1.3
% 78.45/11.38  % (414089)Termination reason: Instruction limit
% 78.45/11.38  % (414089)Termination phase: Saturation
% 78.45/11.38  % (414089)Time elapsed: 0.429 s
% 78.45/11.38  % (414089)Peak memory usage: 18 MB
% 78.45/11.38  % (414089)Instructions burned: 692 (million)
% 78.45/11.38  % (414095)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2436081264:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 78.45/11.38  % TRYING [20]
% 78.45/11.38  % (414096)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3235047195:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 78.45/11.38  % TRYING [8]
% 78.45/11.38  % (414090)Instruction limit reached! 
% 78.45/11.38  % (414090)------------------------------
% 78.45/11.38  % (414090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.45/11.38  % (414090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.45/11.38  % (414090)CaDiCaL version: 2.1.3
% 78.45/11.38  % (414090)Termination reason: Instruction limit
% 78.45/11.38  % (414090)Termination phase: Saturation
% 78.45/11.38  % (414090)Time elapsed: 0.472 s
% 78.45/11.38  % (414090)Peak memory usage: 20 MB
% 78.45/11.38  % (414090)Instructions burned: 880 (million)
% 78.45/11.38  % TRYING [6]
% 78.45/11.38  % (414099)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3929420708:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 78.45/11.38  % (414096)Instruction limit reached! 
% 78.45/11.38  % (414096)------------------------------
% 78.45/11.38  % (414096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.45/11.38  % (414096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.45/11.38  % (414096)CaDiCaL version: 2.1.3
% 78.45/11.38  % (414096)Termination reason: Instruction limit
% 78.45/11.38  % (414096)Termination phase: Finite model building constraint generation
% 78.45/11.38  % (414096)Time elapsed: 0.314 s
% 78.45/11.38  % (414096)Peak memory usage: 63 MB
% 78.45/11.38  % (414096)Instructions burned: 922 (million)
% 78.45/11.38  % (414101)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=952416937:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 78.45/11.38  % TRYING [7]
% 78.45/11.38  % TRYING [8]
% 78.45/11.38  % (414101)Instruction limit reached! 
% 78.45/11.38  % (414101)------------------------------
% 78.45/11.38  % (414101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.45/11.38  % (414101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.45/11.38  % (414101)CaDiCaL version: 2.1.3
% 78.45/11.38  % (414101)Termination reason: Instruction limit
% 78.45/11.38  % (414101)Termination phase: Saturation
% 78.45/11.38  % (414101)Time elapsed: 0.703 s
% 78.45/11.38  % (414101)Peak memory usage: 24 MB
% 78.45/11.38  % (414101)Instructions burned: 1472 (million)
% 78.45/11.38  % (414103)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1607416175:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 78.45/11.38  % TRYING [77]
% 78.45/11.38  % TRYING [8]
% 78.45/11.38  % (414099)Instruction limit reached! 
% 78.45/11.38  % (414099)------------------------------
% 78.45/11.38  % (414099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 230.92/32.88  % (414099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 230.92/32.88  % (414099)CaDiCaL version: 2.1.3
% 230.92/32.88  % (414099)Termination reason: Instruction limit
% 230.92/32.88  % (414099)Termination phase: Saturation
% 230.92/32.88  % (414099)Time elapsed: 2.854 s
% 230.92/32.88  % (414099)Peak memory usage: 42 MB
% 230.92/32.88  % (414099)Instructions burned: 5131 (million)
% 230.92/32.88  % (414105)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1673965004:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 230.92/32.88  % TRYING [16]
% 230.92/32.88  % (414095)Instruction limit reached! 
% 230.92/32.88  % (414095)------------------------------
% 230.92/32.88  % (414095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 230.92/32.88  % (414095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 230.92/32.88  % (414095)CaDiCaL version: 2.1.3
% 230.92/32.88  % (414095)Termination reason: Instruction limit
% 230.92/32.88  % (414095)Termination phase: Finite model building constraint generation
% 230.92/32.88  % (414095)Time elapsed: 3.365 s
% 230.92/32.88  % (414095)Peak memory usage: 583 MB
% 230.92/32.88  % (414095)Instructions burned: 9516 (million)
% 230.92/32.88  % (414103)Instruction limit reached! 
% 230.92/32.88  % (414103)------------------------------
% 230.92/32.88  % (414103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 230.92/32.88  % (414103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 230.92/32.88  % (414103)CaDiCaL version: 2.1.3
% 230.92/32.88  % (414103)Termination reason: Instruction limit
% 230.92/32.88  % (414103)Termination phase: Finite model building constraint generation
% 230.92/32.88  % (414103)Time elapsed: 2.343 s
% 230.92/32.88  % (414103)Peak memory usage: 523 MB
% 230.92/32.88  % (414103)Instructions burned: 6325 (million)
% 230.92/32.88  % (414107)ott-2_1_sil=16000:newcnf=on:random_seed=829434607:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 230.92/32.88  % (414109)ott+10_1_sil=32000:tgt=ground:random_seed=2718019890:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 230.92/32.88  % (414105)Instruction limit reached! 
% 230.92/32.88  % (414105)------------------------------
% 230.92/32.88  % (414105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 230.92/32.88  % (414105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 230.92/32.88  % (414105)CaDiCaL version: 2.1.3
% 230.92/32.88  % (414105)Termination reason: Instruction limit
% 230.92/32.88  % (414105)Termination phase: Finite model building constraint generation
% 230.92/32.88  % (414105)Time elapsed: 0.772 s
% 230.92/32.88  % (414105)Peak memory usage: 140 MB
% 230.92/32.88  % (414105)Instructions burned: 2174 (million)
% 230.92/32.88  % (414111)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2981461439:i=54282_2952 on theBenchmark for (2952ds/54282Mi)
% 230.92/32.88  % TRYING [1]
% 230.92/32.88  % TRYING [2]
% 230.92/32.88  % TRYING [3]
% 230.92/32.88  % TRYING [4]
% 230.92/32.88  % TRYING [5]
% 230.92/32.88  % TRYING [9]
% 230.92/32.88  % (414107)Instruction limit reached! 
% 230.92/32.88  % (414107)------------------------------
% 230.92/32.88  % (414107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 230.92/32.88  % (414107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 230.92/32.88  % (414107)CaDiCaL version: 2.1.3
% 230.92/32.88  % (414107)Termination reason: Instruction limit
% 230.92/32.88  % (414107)Termination phase: Saturation
% 230.92/32.88  % (414107)Time elapsed: 0.498 s
% 230.92/32.88  % (414107)Peak memory usage: 21 MB
% 230.92/32.88  % (414107)Instructions burned: 869 (million)
% 230.92/32.88  % (414113)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3670663926:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 230.92/32.88  % TRYING [6]
% 230.92/32.88  % TRYING [7]
% 230.92/32.88  % (414093)Instruction limit reached! 
% 230.92/32.88  % (414093)------------------------------
% 230.92/32.88  % (414093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 230.92/32.88  % (414093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 230.92/32.88  % (414093)CaDiCaL version: 2.1.3
% 230.92/32.88  % (414093)Termination reason: Instruction limit
% 230.92/32.88  % (414093)Termination phase: Finite model building SAT solving
% 230.92/32.88  % (414093)Time elapsed: 4.991 s
% 230.92/32.88  % (414093)Peak memory usage: 173 MB
% 230.92/32.88  % (414093)Instructions burned: 22063 (million)
% 230.92/32.88  % (414115)dis+21_1_sil=32000:sas=cadical:random_seed=135850363:i=3773:amm=off_2942 on theBenchmark for (2942ds/3773Mi)
% 230.92/32.88  % TRYING [8]
% 230.92/32.88  % (414115)Instruction limit reached! 
% 230.92/32.88  % (414115)------------------------------
% 230.92/32.88  % (414115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414115)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414115)Termination reason: Instruction limit
% 150.33/38.78  % (414115)Termination phase: Saturation
% 150.33/38.78  % (414115)Time elapsed: 1.138 s
% 150.33/38.78  % (414115)Peak memory usage: 43 MB
% 150.33/38.78  % (414115)Instructions burned: 3776 (million)
% 150.33/38.78  % (414117)ott+11_1_sil=16000:gs=on:random_seed=1159279101:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2931 on theBenchmark for (2931ds/2251Mi)
% 150.33/38.78  % (414113)Instruction limit reached! 
% 150.33/38.78  % (414113)------------------------------
% 150.33/38.78  % (414113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414113)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414113)Termination reason: Instruction limit
% 150.33/38.78  % (414113)Termination phase: Saturation
% 150.33/38.78  % (414113)Time elapsed: 1.922 s
% 150.33/38.78  % (414113)Peak memory usage: 33 MB
% 150.33/38.78  % (414113)Instructions burned: 3512 (million)
% 150.33/38.78  % (414119)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1089413886:fmbsr=1.6:i=67534_2930 on theBenchmark for (2930ds/67534Mi)
% 150.33/38.78  % TRYING [7]
% 150.33/38.78  % (414117)Instruction limit reached! 
% 150.33/38.78  % (414117)------------------------------
% 150.33/38.78  % (414117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414117)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414117)Termination reason: Instruction limit
% 150.33/38.78  % (414117)Termination phase: Saturation
% 150.33/38.78  % (414117)Time elapsed: 0.573 s
% 150.33/38.78  % (414117)Peak memory usage: 19 MB
% 150.33/38.78  % (414117)Instructions burned: 2254 (million)
% 150.33/38.78  % (414121)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3825298916:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2925 on theBenchmark for (2925ds/4591Mi)
% 150.33/38.78  % (414109)Instruction limit reached! 
% 150.33/38.78  % (414109)------------------------------
% 150.33/38.78  % (414109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414109)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414109)Termination reason: Instruction limit
% 150.33/38.78  % (414109)Termination phase: Saturation
% 150.33/38.78  % (414109)Time elapsed: 3.027 s
% 150.33/38.78  % (414109)Peak memory usage: 51 MB
% 150.33/38.78  % (414109)Instructions burned: 5115 (million)
% 150.33/38.78  % (414123)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1398181076:i=29340_2924 on theBenchmark for (2924ds/29340Mi)
% 150.33/38.78  % (414121)Instruction limit reached! 
% 150.33/38.78  % (414121)------------------------------
% 150.33/38.78  % (414121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414121)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414121)Termination reason: Instruction limit
% 150.33/38.78  % (414121)Termination phase: Saturation
% 150.33/38.78  % (414121)Time elapsed: 1.288 s
% 150.33/38.78  % (414121)Peak memory usage: 52 MB
% 150.33/38.78  % (414121)Instructions burned: 4594 (million)
% 150.33/38.78  % (414125)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2922035024:i=5211_2912 on theBenchmark for (2912ds/5211Mi)
% 150.33/38.78  % TRYING [9]
% 150.33/38.78  % (414125)Instruction limit reached! 
% 150.33/38.78  % (414125)------------------------------
% 150.33/38.78  % (414125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414125)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414125)Termination reason: Instruction limit
% 150.33/38.78  % (414125)Termination phase: Saturation
% 150.33/38.78  % (414125)Time elapsed: 1.322 s
% 150.33/38.78  % (414125)Peak memory usage: 47 MB
% 150.33/38.78  % (414125)Instructions burned: 5211 (million)
% 150.33/38.78  % (414127)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2319781547:i=5497:nm=2_2899 on theBenchmark for (2899ds/5497Mi)
% 150.33/38.78  % TRYING [17]
% 150.33/38.78  % TRYING [8]
% 150.33/38.78  % (414127)Instruction limit reached! 
% 150.33/38.78  % (414127)------------------------------
% 150.33/38.78  % (414127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414127)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414127)Termination reason: Instruction limit
% 150.33/38.78  % (414127)Termination phase: Finite model building constraint generation
% 150.33/38.78  % (414127)Time elapsed: 1.043 s
% 150.33/38.78  % (414127)Peak memory usage: 344 MB
% 150.33/38.78  % (414127)Instructions burned: 5499 (million)
% 150.33/38.78  % (414129)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=4015150312:fmbsr=2:i=46332_2888 on theBenchmark for (2888ds/46332Mi)
% 150.33/38.78  % TRYING [15]
% 150.33/38.78  % (414123)Instruction limit reached! 
% 150.33/38.78  % (414123)------------------------------
% 150.33/38.78  % (414123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414123)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414123)Termination reason: Instruction limit
% 150.33/38.78  % (414123)Termination phase: Saturation
% 150.33/38.78  % (414123)Time elapsed: 14.070 s
% 150.33/38.78  % (414123)Peak memory usage: 313 MB
% 150.33/38.78  % (414123)Instructions burned: 29341 (million)
% 150.33/38.78  % TRYING [9]
% 150.33/38.78  % (414131)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3817533187:i=14071_2783 on theBenchmark for (2783ds/14071Mi)
% 150.33/38.78  % TRYING [12]
% 150.33/38.78  % (414129)Instruction limit reached! 
% 150.33/38.78  % (414129)------------------------------
% 150.33/38.78  % (414129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414129)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414129)Termination reason: Instruction limit
% 150.33/38.78  % (414129)Termination phase: Finite model building constraint generation
% 150.33/38.78  % (414129)Time elapsed: 11.0000 s
% 150.33/38.78  % (414129)Peak memory usage: 2504 MB
% 150.33/38.78  % (414129)Instructions burned: 46332 (million)
% 150.33/38.78  % (414133)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3972695895:i=22565:add=on:rawr=on_2776 on theBenchmark for (2776ds/22565Mi)
% 150.33/38.78  % (414133)Instruction limit reached! 
% 150.33/38.78  % (414133)------------------------------
% 150.33/38.78  % (414133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414133)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414133)Termination reason: Instruction limit
% 150.33/38.78  % (414133)Termination phase: Saturation
% 150.33/38.78  % (414133)Time elapsed: 3.726 s
% 150.33/38.78  % (414133)Peak memory usage: 22 MB
% 150.33/38.78  % (414133)Instructions burned: 22569 (million)
% 150.33/38.78  % (414135)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3393740724:i=8173:av=off_2738 on theBenchmark for (2738ds/8173Mi)
% 150.33/38.78  % (414131)Instruction limit reached! 
% 150.33/38.78  % (414131)------------------------------
% 150.33/38.78  % (414131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414131)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414131)Termination reason: Instruction limit
% 150.33/38.78  % (414131)Termination phase: Finite model building constraint generation
% 150.33/38.78  % (414131)Time elapsed: 5.968 s
% 150.33/38.78  % (414131)Peak memory usage: 888 MB
% 150.33/38.78  % (414131)Instructions burned: 14073 (million)
% 150.33/38.78  % (414137)dis+10_16:1_sil=16000:random_seed=3834902412:i=9155:fsr=off_2722 on theBenchmark for (2722ds/9155Mi)
% 150.33/38.78  % (414135)Instruction limit reached! 
% 150.33/38.78  % (414135)------------------------------
% 150.33/38.78  % (414135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414135)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414135)Termination reason: Instruction limit
% 150.33/38.78  % (414135)Termination phase: Saturation
% 150.33/38.78  % (414135)Time elapsed: 2.128 s
% 150.33/38.78  % (414135)Peak memory usage: 57 MB
% 150.33/38.78  % (414135)Instructions burned: 8176 (million)
% 150.33/38.78  % (414139)ott-3_8_sil=64000:random_seed=2244384255:i=20139:bs=on_2717 on theBenchmark for (2717ds/20139Mi)
% 150.33/38.78  % (414137)Instruction limit reached! 
% 150.33/38.78  % (414137)------------------------------
% 150.33/38.78  % (414137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414137)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414137)Termination reason: Instruction limit
% 150.33/38.78  % (414137)Termination phase: Saturation
% 150.33/38.78  % (414137)Time elapsed: 4.841 s
% 150.33/38.78  % (414137)Peak memory usage: 77 MB
% 150.33/38.78  % (414137)Instructions burned: 9155 (million)
% 150.33/38.78  % (414141)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=2291194310:fmbsr=2:i=32576_2673 on theBenchmark for (2673ds/32576Mi)
% 150.33/38.78  % TRYING [9]
% 150.33/38.78  % TRYING [10]
% 150.33/38.78  % (414111)Instruction limit reached! 
% 150.33/38.78  % (414111)------------------------------
% 150.33/38.78  % (414111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414111)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414111)Termination reason: Instruction limit
% 150.33/38.78  % (414111)Termination phase: Finite model building SAT solving
% 150.33/38.78  % (414111)Time elapsed: 30.204 s
% 150.33/38.78  % (414111)Peak memory usage: 595 MB
% 150.33/38.78  % (414111)Instructions burned: 54283 (million)
% 150.33/38.78  % (414061)Instruction limit reached! 
% 150.33/38.78  % (414061)------------------------------
% 150.33/38.78  % (414061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414061)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414061)Termination reason: Instruction limit
% 150.33/38.78  % (414061)Termination phase: Saturation
% 150.33/38.78  % (414061)Time elapsed: 34.988 s
% 150.33/38.78  % (414061)Peak memory usage: 41 MB
% 150.33/38.78  % (414061)Instructions burned: 88024 (million)
% 150.33/38.78  % (414143)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1485988749:i=11404_2649 on theBenchmark for (2649ds/11404Mi)
% 150.33/38.78  % (414144)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=1742992161:i=14134_2649 on theBenchmark for (2649ds/14134Mi)
% 150.33/38.78  % (414139)Instruction limit reached! 
% 150.33/38.78  % (414139)------------------------------
% 150.33/38.78  % (414139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.78  % (414139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.78  % (414139)CaDiCaL version: 2.1.3
% 150.33/38.78  % (414139)Termination reason: Instruction limit
% 150.33/38.78  % (414139)Termination phase: Saturation
% 150.33/38.78  % (414139)Time elapsed: 7.836 s
% 150.33/38.78  % (414139)Peak memory usage: 113 MB
% 150.33/38.78  % (414139)Instructions burned: 20140 (million)
% 150.33/38.78  % (414147)dis+33_16_sil=32000:sac=on:random_seed=776850211:i=15851:nm=0_2638 on theBenchmark for (2638ds/15851Mi)
% 150.33/38.78  % (414147) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-414054-414147"...
% 150.33/38.78  % (414147)...printing done.
% 150.33/38.78  % (414147)Refutation found. Thanks to Tanya!
% 150.33/38.78  % SZS status Theorem for theBenchmark
% 150.33/38.78  % SZS output start Proof for theBenchmark
% See solution above
% 150.33/38.79  % (414147)------------------------------
% 150.33/38.79  % (414147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 150.33/38.79  % (414147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 150.33/38.79  % (414147)CaDiCaL version: 2.1.3
% 150.33/38.79  % (414147)Termination reason: Refutation
% 150.33/38.79  % (414147)Time elapsed: 2.290 s
% 150.33/38.79  % (414147)Peak memory usage: 87 MB
% 150.33/38.79  % (414147)Instructions burned: 7256 (million)
% 150.33/38.79  % (414054)Success in time 38.544 s
% 150.33/38.79  % Vampire exiting
%------------------------------------------------------------------------------