TSTP Solution File: ANA108^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA108^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 18:40:30 EDT 2024

% Result   : Theorem 0.22s 0.39s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   58 (   9 unt;  17 typ;   0 def)
%            Number of atoms       :  235 (  86 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  434 (  40   ~;  21   |;  21   &; 335   @)
%                                         (   2 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  13 usr;   5 con; 0-3 aty)
%            Number of variables   :   86 (   0   ^  74   !;   9   ?;  86   :)
%                                         (   3  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_6,type,
    'type/nums/num': $tType ).

thf(type_def_7,type,
    'type/realax/real': $tType ).

thf(func_def_0,type,
    'type/realax/real': $tType ).

thf(func_def_1,type,
    'type/nums/num': $tType ).

thf(func_def_2,type,
    'const/trivia/I': 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_3,type,
    'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real' ).

thf(func_def_4,type,
    'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).

thf(func_def_5,type,
    'const/nums/_0': 'type/nums/num' ).

thf(func_def_6,type,
    'const/iterate/sum': 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).

thf(func_def_7,type,
    'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o ).

thf(func_def_8,type,
    'const/arith/<=': 'type/nums/num' > 'type/nums/num' > $o ).

thf(func_def_9,type,
    'const/arith/<': 'type/nums/num' > 'type/nums/num' > $o ).

thf(func_def_13,type,
    sK0: 'type/nums/num' > 'type/nums/num' > ( 'type/nums/num' > 'type/realax/real' ) > 'type/nums/num' ).

thf(func_def_14,type,
    sK1: 'type/nums/num' > 'type/realax/real' ).

thf(func_def_15,type,
    sK2: 'type/nums/num' ).

thf(func_def_16,type,
    sK3: 'type/nums/num' ).

thf(func_def_18,type,
    ph5: 
      !>[X0: $tType] : X0 ).

thf(f49,plain,
    $false,
    inference(subsumption_resolution,[],[f48,f40]) ).

thf(f40,plain,
    ( ( 'const/arith/<=' @ ( sK0 @ sK3 @ sK2 @ sK1 ) @ sK3 )
    = $true ),
    inference(trivial_inequality_removal,[],[f39]) ).

thf(f39,plain,
    ( ( ( 'const/arith/<=' @ ( sK0 @ sK3 @ sK2 @ sK1 ) @ sK3 )
      = $true )
    | ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
     != ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
    inference(superposition,[],[f32,f29]) ).

thf(f29,plain,
    ! [X2: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num'] :
      ( ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
        = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) )
      | ( ( 'const/arith/<=' @ ( sK0 @ X2 @ X1 @ X0 ) @ X2 )
        = $true ) ),
    inference(cnf_transformation,[],[f23]) ).

thf(f23,plain,
    ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
      ( ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
        = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) )
      | ( ( ( 'const/arith/<=' @ ( sK0 @ X2 @ X1 @ X0 ) @ X2 )
          = $true )
        & ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
         != ( X0 @ ( sK0 @ X2 @ X1 @ X0 ) ) )
        & ( ( 'const/arith/<=' @ X1 @ ( sK0 @ X2 @ X1 @ X0 ) )
          = $true ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f22]) ).

thf(f22,plain,
    ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
      ( ? [X3: 'type/nums/num'] :
          ( ( ( 'const/arith/<=' @ X3 @ X2 )
            = $true )
          & ( ( X0 @ X3 )
           != ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
          & ( ( 'const/arith/<=' @ X1 @ X3 )
            = $true ) )
     => ( ( ( 'const/arith/<=' @ ( sK0 @ X2 @ X1 @ X0 ) @ X2 )
          = $true )
        & ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
         != ( X0 @ ( sK0 @ X2 @ X1 @ X0 ) ) )
        & ( ( 'const/arith/<=' @ X1 @ ( sK0 @ X2 @ X1 @ X0 ) )
          = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f18,plain,
    ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
      ( ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
        = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) )
      | ? [X3: 'type/nums/num'] :
          ( ( ( 'const/arith/<=' @ X3 @ X2 )
            = $true )
          & ( ( X0 @ X3 )
           != ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
          & ( ( 'const/arith/<=' @ X1 @ X3 )
            = $true ) ) ),
    inference(flattening,[],[f17]) ).

thf(f17,plain,
    ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
      ( ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
        = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) )
      | ? [X3: 'type/nums/num'] :
          ( ( ( X0 @ X3 )
           != ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
          & ( ( 'const/arith/<=' @ X1 @ X3 )
            = $true )
          & ( ( 'const/arith/<=' @ X3 @ X2 )
            = $true ) ) ),
    inference(ennf_transformation,[],[f13]) ).

thf(f13,plain,
    ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
      ( ! [X3: 'type/nums/num'] :
          ( ( ( ( 'const/arith/<=' @ X1 @ X3 )
              = $true )
            & ( ( 'const/arith/<=' @ X3 @ X2 )
              = $true ) )
         => ( ( X0 @ X3 )
            = ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) )
     => ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
        = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) ) ),
    inference(fool_elimination,[],[f12]) ).

thf(f12,plain,
    ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
      ( ! [X3: 'type/nums/num'] :
          ( ( ( 'const/arith/<=' @ X3 @ X2 )
            & ( 'const/arith/<=' @ X1 @ X3 ) )
         => ( ( X0 @ X3 )
            = ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) )
     => ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
        = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) ) ),
    inference(rectify,[],[f4]) ).

thf(f4,axiom,
    ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
      ( ! [X3: 'type/nums/num'] :
          ( ( ( 'const/arith/<=' @ X3 @ X2 )
            & ( 'const/arith/<=' @ X1 @ X3 ) )
         => ( ( X0 @ X3 )
            = ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) )
     => ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
        = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_EQ_0_NUMSEG_') ).

thf(f32,plain,
    ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
   != ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 ) @ sK1 ) ),
    inference(cnf_transformation,[],[f25]) ).

thf(f25,plain,
    ( ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
     != ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 ) @ sK1 ) )
    & ( ( 'const/arith/<' @ sK3 @ sK2 )
      = $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f21,f24]) ).

thf(f24,plain,
    ( ? [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
        ( ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
         != ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) )
        & ( ( 'const/arith/<' @ X2 @ X1 )
          = $true ) )
   => ( ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
       != ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 ) @ sK1 ) )
      & ( ( 'const/arith/<' @ sK3 @ sK2 )
        = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f21,plain,
    ? [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
      ( ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
       != ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) )
      & ( ( 'const/arith/<' @ X2 @ X1 )
        = $true ) ),
    inference(ennf_transformation,[],[f15]) ).

thf(f15,plain,
    ~ ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
        ( ( ( 'const/arith/<' @ X2 @ X1 )
          = $true )
       => ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
          = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) ) ),
    inference(fool_elimination,[],[f14]) ).

thf(f14,plain,
    ~ ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
        ( ( 'const/arith/<' @ X2 @ X1 )
       => ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
          = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) ) ),
    inference(rectify,[],[f6]) ).

thf(f6,negated_conjecture,
    ~ ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
        ( ( 'const/arith/<' @ X2 @ X1 )
       => ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
          = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) ) ),
    inference(negated_conjecture,[],[f5]) ).

thf(f5,conjecture,
    ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num'] :
      ( ( 'const/arith/<' @ X2 @ X1 )
     => ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
        = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_TRIV_NUMSEG_') ).

thf(f48,plain,
    ( ( 'const/arith/<=' @ ( sK0 @ sK3 @ sK2 @ sK1 ) @ sK3 )
   != $true ),
    inference(trivial_inequality_removal,[],[f47]) ).

thf(f47,plain,
    ( ( $true != $true )
    | ( ( 'const/arith/<=' @ ( sK0 @ sK3 @ sK2 @ sK1 ) @ sK3 )
     != $true ) ),
    inference(superposition,[],[f44,f42]) ).

thf(f42,plain,
    ( ( 'const/arith/<=' @ sK2 @ ( sK0 @ sK3 @ sK2 @ sK1 ) )
    = $true ),
    inference(trivial_inequality_removal,[],[f37]) ).

thf(f37,plain,
    ( ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
     != ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
    | ( ( 'const/arith/<=' @ sK2 @ ( sK0 @ sK3 @ sK2 @ sK1 ) )
      = $true ) ),
    inference(superposition,[],[f32,f27]) ).

thf(f27,plain,
    ! [X2: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num'] :
      ( ( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
        = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) )
      | ( ( 'const/arith/<=' @ X1 @ ( sK0 @ X2 @ X1 @ X0 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f23]) ).

thf(f44,plain,
    ! [X0: 'type/nums/num'] :
      ( ( ( 'const/arith/<=' @ sK2 @ X0 )
       != $true )
      | ( ( 'const/arith/<=' @ X0 @ sK3 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f43]) ).

thf(f43,plain,
    ! [X0: 'type/nums/num'] :
      ( ( ( 'const/arith/<=' @ sK2 @ X0 )
       != $true )
      | ( ( 'const/arith/<=' @ X0 @ sK3 )
       != $true )
      | ( $true != $true ) ),
    inference(superposition,[],[f36,f30]) ).

thf(f30,plain,
    ! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
      ( ( ( 'const/arith/<=' @ X0 @ X2 )
        = $true )
      | ( ( 'const/arith/<=' @ X0 @ X1 )
       != $true )
      | ( ( 'const/arith/<=' @ X1 @ X2 )
       != $true ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f20,plain,
    ! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] :
      ( ( ( 'const/arith/<=' @ X0 @ X1 )
       != $true )
      | ( ( 'const/arith/<=' @ X0 @ X2 )
        = $true )
      | ( ( 'const/arith/<=' @ X1 @ X2 )
       != $true ) ),
    inference(flattening,[],[f19]) ).

thf(f19,plain,
    ! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] :
      ( ( ( 'const/arith/<=' @ X0 @ X2 )
        = $true )
      | ( ( 'const/arith/<=' @ X0 @ X1 )
       != $true )
      | ( ( 'const/arith/<=' @ X1 @ X2 )
       != $true ) ),
    inference(ennf_transformation,[],[f9]) ).

thf(f9,plain,
    ! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] :
      ( ( ( ( 'const/arith/<=' @ X0 @ X1 )
          = $true )
        & ( ( 'const/arith/<=' @ X1 @ X2 )
          = $true ) )
     => ( ( 'const/arith/<=' @ X0 @ X2 )
        = $true ) ),
    inference(fool_elimination,[],[f8]) ).

thf(f8,plain,
    ! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] :
      ( ( ( 'const/arith/<=' @ X1 @ X2 )
        & ( 'const/arith/<=' @ X0 @ X1 ) )
     => ( 'const/arith/<=' @ X0 @ X2 ) ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] :
      ( ( ( 'const/arith/<=' @ X1 @ X2 )
        & ( 'const/arith/<=' @ X0 @ X1 ) )
     => ( 'const/arith/<=' @ X0 @ X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/arith/LE_TRANS_') ).

thf(f36,plain,
    ( ( 'const/arith/<=' @ sK2 @ sK3 )
   != $true ),
    inference(trivial_inequality_removal,[],[f35]) ).

thf(f35,plain,
    ( ( $true != $true )
    | ( ( 'const/arith/<=' @ sK2 @ sK3 )
     != $true ) ),
    inference(superposition,[],[f34,f31]) ).

thf(f31,plain,
    ( ( 'const/arith/<' @ sK3 @ sK2 )
    = $true ),
    inference(cnf_transformation,[],[f25]) ).

thf(f34,plain,
    ! [X0: 'type/nums/num',X1: 'type/nums/num'] :
      ( ( ( 'const/arith/<' @ X0 @ X1 )
       != $true )
      | ( ( 'const/arith/<=' @ X1 @ X0 )
       != $true ) ),
    inference(cnf_transformation,[],[f26]) ).

thf(f26,plain,
    ! [X0: 'type/nums/num',X1: 'type/nums/num'] :
      ( ( ( ( 'const/arith/<' @ X0 @ X1 )
         != $true )
        | ( ( 'const/arith/<=' @ X1 @ X0 )
         != $true ) )
      & ( ( ( 'const/arith/<=' @ X1 @ X0 )
          = $true )
        | ( ( 'const/arith/<' @ X0 @ X1 )
          = $true ) ) ),
    inference(nnf_transformation,[],[f16]) ).

thf(f16,plain,
    ! [X0: 'type/nums/num',X1: 'type/nums/num'] :
      ( ( ( 'const/arith/<' @ X0 @ X1 )
       != $true )
    <=> ( ( 'const/arith/<=' @ X1 @ X0 )
        = $true ) ),
    inference(flattening,[],[f11]) ).

thf(f11,plain,
    ! [X0: 'type/nums/num',X1: 'type/nums/num'] :
      ( ( ( 'const/arith/<=' @ X1 @ X0 )
        = $true )
    <=> ( ( 'const/arith/<' @ X0 @ X1 )
       != $true ) ),
    inference(fool_elimination,[],[f10]) ).

thf(f10,plain,
    ! [X0: 'type/nums/num',X1: 'type/nums/num'] :
      ( ( 'const/arith/<=' @ X1 @ X0 )
      = ( ~ ( 'const/arith/<' @ X0 @ X1 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ! [X0: 'type/nums/num',X1: 'type/nums/num'] :
      ( ( 'const/arith/<=' @ X1 @ X0 )
      = ( ~ ( 'const/arith/<' @ X0 @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/arith/NOT_LT_') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : ANA108^1 : TPTP v8.2.0. Released v7.0.0.
% 0.04/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n025.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon May 20 07:59:23 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TH1_THM_EQU_NAR problem
% 0.15/0.37  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.39  % (31334)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.39  % (31335)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.39  % (31338)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.39  % (31339)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.39  % (31341)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.39  % (31338)Instruction limit reached!
% 0.22/0.39  % (31338)------------------------------
% 0.22/0.39  % (31338)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (31338)Termination reason: Unknown
% 0.22/0.39  % (31338)Termination phase: Property scanning
% 0.22/0.39  
% 0.22/0.39  % (31338)Memory used [KB]: 895
% 0.22/0.39  % (31338)Time elapsed: 0.003 s
% 0.22/0.39  % (31338)Instructions burned: 2 (million)
% 0.22/0.39  % (31338)------------------------------
% 0.22/0.39  % (31338)------------------------------
% 0.22/0.39  % (31341)Instruction limit reached!
% 0.22/0.39  % (31341)------------------------------
% 0.22/0.39  % (31341)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (31341)Termination reason: Unknown
% 0.22/0.39  % (31341)Termination phase: Saturation
% 0.22/0.39  
% 0.22/0.39  % (31341)Memory used [KB]: 5500
% 0.22/0.39  % (31341)Time elapsed: 0.004 s
% 0.22/0.39  % (31341)Instructions burned: 3 (million)
% 0.22/0.39  % (31341)------------------------------
% 0.22/0.39  % (31341)------------------------------
% 0.22/0.39  % (31335)Instruction limit reached!
% 0.22/0.39  % (31335)------------------------------
% 0.22/0.39  % (31335)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (31335)Termination reason: Unknown
% 0.22/0.39  % (31335)Termination phase: Saturation
% 0.22/0.39  
% 0.22/0.39  % (31335)Memory used [KB]: 5500
% 0.22/0.39  % (31335)Time elapsed: 0.005 s
% 0.22/0.39  % (31335)Instructions burned: 4 (million)
% 0.22/0.39  % (31340)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.39  % (31335)------------------------------
% 0.22/0.39  % (31335)------------------------------
% 0.22/0.39  % (31339)First to succeed.
% 0.22/0.39  % (31339)Refutation found. Thanks to Tanya!
% 0.22/0.39  % SZS status Theorem for theBenchmark
% 0.22/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39  % (31339)------------------------------
% 0.22/0.39  % (31339)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (31339)Termination reason: Refutation
% 0.22/0.39  
% 0.22/0.39  % (31339)Memory used [KB]: 5500
% 0.22/0.39  % (31339)Time elapsed: 0.007 s
% 0.22/0.39  % (31339)Instructions burned: 4 (million)
% 0.22/0.39  % (31339)------------------------------
% 0.22/0.39  % (31339)------------------------------
% 0.22/0.39  % (31333)Success in time 0.012 s
% 0.22/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------