TSTP Solution File: ANA077^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA077^1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 18:40:23 EDT 2024

% Result   : Theorem 0.15s 0.40s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   96 (   5 unt;  13 typ;   0 def)
%            Number of atoms       :  685 ( 187 equ;   0 cnn)
%            Maximal formula atoms :   10 (   8 avg)
%            Number of connectives :  887 (  89   ~; 112   |;  37   &; 628   @)
%                                         (   5 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  16 usr;   9 con; 0-3 aty)
%            Number of variables   :  124 (   0   ^ 112   !;   9   ?; 124   :)
%                                         (   3  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    'type/realax/real': $tType ).

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

thf(func_def_1,type,
    'const/sets/sup': ( 'type/realax/real' > $o ) > 'type/realax/real' ).

thf(func_def_2,type,
    'const/sets/IN': 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).

thf(func_def_3,type,
    'const/sets/EMPTY': 
      !>[X0: $tType] : ( X0 > $o ) ).

thf(func_def_4,type,
    'const/realax/real_neg': 'type/realax/real' > 'type/realax/real' ).

thf(func_def_5,type,
    'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o ).

thf(func_def_6,type,
    'const/realax/real_abs': 'type/realax/real' > 'type/realax/real' ).

thf(func_def_11,type,
    sK0: 'type/realax/real' > 'type/realax/real' > ( 'type/realax/real' > $o ) > 'type/realax/real' ).

thf(func_def_12,type,
    sK1: 'type/realax/real' > $o ).

thf(func_def_13,type,
    sK2: 'type/realax/real' ).

thf(func_def_15,type,
    ph4: 
      !>[X0: $tType] : X0 ).

thf(func_def_16,type,
    sK5: 'type/realax/real' ).

thf(f190,plain,
    $false,
    inference(avatar_sat_refutation,[],[f74,f119,f130,f145,f166,f189]) ).

thf(f189,plain,
    ( spl3_7
    | ~ spl3_8 ),
    inference(avatar_contradiction_clause,[],[f188]) ).

thf(f188,plain,
    ( $false
    | spl3_7
    | ~ spl3_8 ),
    inference(subsumption_resolution,[],[f187,f114]) ).

thf(f114,plain,
    ( ( $true
     != ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ sK2 ) )
    | spl3_7 ),
    inference(avatar_component_clause,[],[f113]) ).

thf(f113,plain,
    ( spl3_7
  <=> ( $true
      = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ sK2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

thf(f187,plain,
    ( ( $true
      = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ sK2 ) )
    | ~ spl3_8 ),
    inference(trivial_inequality_removal,[],[f178]) ).

thf(f178,plain,
    ( ( $true != $true )
    | ( $true
      = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ sK2 ) )
    | ~ spl3_8 ),
    inference(superposition,[],[f118,f90]) ).

thf(f90,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ sK2 ) @ ( sK0 @ X0 @ X1 @ sK1 ) ) )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ X0 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f85]) ).

thf(f85,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( $true = $false )
      | ( $true
        = ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ sK2 ) @ ( sK0 @ X0 @ X1 @ sK1 ) ) )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ X0 )
        = $true ) ),
    inference(superposition,[],[f31,f77]) ).

thf(f77,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK0 @ X0 @ X1 @ sK1 ) ) @ sK2 ) )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ X0 )
        = $true ) ),
    inference(subsumption_resolution,[],[f76,f25]) ).

thf(f25,plain,
    'const/sets/EMPTY' @ ( 'type/realax/real' != sK1 ),
    inference(cnf_transformation,[],[f19]) ).

thf(f19,plain,
    ( ! [X2: 'type/realax/real'] :
        ( ( $true
          = ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ sK2 ) )
        | ( $true
         != ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ sK1 ) ) )
    & ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( 'const/sets/sup' @ sK1 ) ) @ sK2 )
     != $true )
    & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != sK1 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f13,f18]) ).

thf(f18,plain,
    ( ? [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
        ( ! [X2: 'type/realax/real'] :
            ( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 )
              = $true )
            | ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
             != $true ) )
        & ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( 'const/sets/sup' @ X0 ) ) @ X1 )
         != $true )
        & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
   => ( ! [X2: 'type/realax/real'] :
          ( ( $true
            = ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ sK2 ) )
          | ( $true
           != ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ sK1 ) ) )
      & ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( 'const/sets/sup' @ sK1 ) ) @ sK2 )
       != $true )
      & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != sK1 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ? [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ! [X2: 'type/realax/real'] :
          ( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 )
            = $true )
          | ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
           != $true ) )
      & ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( 'const/sets/sup' @ X0 ) ) @ X1 )
       != $true )
      & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) ),
    inference(flattening,[],[f12]) ).

thf(f12,plain,
    ? [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( 'const/sets/sup' @ X0 ) ) @ X1 )
       != $true )
      & ! [X2: 'type/realax/real'] :
          ( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 )
            = $true )
          | ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
           != $true ) )
      & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) ),
    inference(ennf_transformation,[],[f11]) ).

thf(f11,plain,
    ~ ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
        ( ( ! [X2: 'type/realax/real'] :
              ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
                = $true )
             => ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 )
                = $true ) )
          & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
       => ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( 'const/sets/sup' @ X0 ) ) @ X1 )
          = $true ) ),
    inference(fool_elimination,[],[f10]) ).

thf(f10,plain,
    ~ ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
        ( ( ! [X2: 'type/realax/real'] :
              ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
             => ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 ) )
          & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
       => ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( 'const/sets/sup' @ X0 ) ) @ X1 ) ),
    inference(rectify,[],[f4]) ).

thf(f4,negated_conjecture,
    ~ ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
        ( ( ! [X2: 'type/realax/real'] :
              ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
             => ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 ) )
          & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
       => ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( 'const/sets/sup' @ X0 ) ) @ X1 ) ),
    inference(negated_conjecture,[],[f3]) ).

thf(f3,conjecture,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ( ! [X2: 'type/realax/real'] :
            ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
           => ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ X1 ) )
        & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
     => ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( 'const/sets/sup' @ X0 ) ) @ X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/REAL_ABS_SUP_LE_') ).

thf(f76,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK0 @ X0 @ X1 @ sK1 ) ) @ sK2 ) )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ X0 )
        = $true )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK1 ) ) ),
    inference(trivial_inequality_removal,[],[f75]) ).

thf(f75,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK0 @ X0 @ X1 @ sK1 ) ) @ sK2 ) )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ X0 )
        = $true )
      | ( $true != $true )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK1 ) ) ),
    inference(superposition,[],[f27,f23]) ).

thf(f23,plain,
    ! [X2: 'type/realax/real',X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/sets/IN' @ 'type/realax/real' @ ( sK0 @ X2 @ X1 @ X0 ) @ X0 ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X2 )
        = $true ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f17,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real',X2: 'type/realax/real'] :
      ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ( ( $true
          = ( 'const/sets/IN' @ 'type/realax/real' @ ( sK0 @ X2 @ X1 @ X0 ) @ X0 ) )
        & ( ( ( 'const/realax/real_le' @ X1 @ ( sK0 @ X2 @ X1 @ X0 ) )
           != $true )
          | ( $true
           != ( 'const/realax/real_le' @ ( sK0 @ X2 @ X1 @ X0 ) @ X2 ) ) ) )
      | ( ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ X0 ) )
          = $true )
        & ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X2 )
          = $true ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

thf(f16,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real',X2: 'type/realax/real'] :
      ( ? [X3: 'type/realax/real'] :
          ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
            = $true )
          & ( ( ( 'const/realax/real_le' @ X1 @ X3 )
             != $true )
            | ( ( 'const/realax/real_le' @ X3 @ X2 )
             != $true ) ) )
     => ( ( $true
          = ( 'const/sets/IN' @ 'type/realax/real' @ ( sK0 @ X2 @ X1 @ X0 ) @ X0 ) )
        & ( ( ( 'const/realax/real_le' @ X1 @ ( sK0 @ X2 @ X1 @ X0 ) )
           != $true )
          | ( $true
           != ( 'const/realax/real_le' @ ( sK0 @ X2 @ X1 @ X0 ) @ X2 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f15,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real',X2: 'type/realax/real'] :
      ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ? [X3: 'type/realax/real'] :
          ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
            = $true )
          & ( ( ( 'const/realax/real_le' @ X1 @ X3 )
             != $true )
            | ( ( 'const/realax/real_le' @ X3 @ X2 )
             != $true ) ) )
      | ( ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ X0 ) )
          = $true )
        & ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X2 )
          = $true ) ) ),
    inference(flattening,[],[f14]) ).

thf(f14,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real',X2: 'type/realax/real'] :
      ( ( ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ X0 ) )
          = $true )
        & ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X2 )
          = $true ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ? [X3: 'type/realax/real'] :
          ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
            = $true )
          & ( ( ( 'const/realax/real_le' @ X1 @ X3 )
             != $true )
            | ( ( 'const/realax/real_le' @ X3 @ X2 )
             != $true ) ) ) ),
    inference(ennf_transformation,[],[f7]) ).

thf(f7,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real',X2: 'type/realax/real'] :
      ( ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
        & ! [X3: 'type/realax/real'] :
            ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
              = $true )
           => ( ( ( 'const/realax/real_le' @ X1 @ X3 )
                = $true )
              & ( ( 'const/realax/real_le' @ X3 @ X2 )
                = $true ) ) ) )
     => ( ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ X0 ) )
          = $true )
        & ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X2 )
          = $true ) ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f6,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real',X2: 'type/realax/real'] :
      ( ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
        & ! [X3: 'type/realax/real'] :
            ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
           => ( ( 'const/realax/real_le' @ X3 @ X2 )
              & ( 'const/realax/real_le' @ X1 @ X3 ) ) ) )
     => ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ X0 ) )
        & ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X2 ) ) ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real',X2: 'type/realax/real'] :
      ( ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
        & ! [X3: 'type/realax/real'] :
            ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
           => ( ( 'const/realax/real_le' @ X3 @ X2 )
              & ( 'const/realax/real_le' @ X1 @ X3 ) ) ) )
     => ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ X0 ) )
        & ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/REAL_SUP_BOUNDS_') ).

thf(f27,plain,
    ! [X2: 'type/realax/real'] :
      ( ( $true
       != ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ sK1 ) )
      | ( $true
        = ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X2 ) @ sK2 ) ) ),
    inference(cnf_transformation,[],[f19]) ).

thf(f31,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X0 ) @ X1 )
        = $false )
      | ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ X0 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f29]) ).

thf(f29,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( $true
        = ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ X0 )
          & ( 'const/realax/real_le' @ X0 @ X1 ) ) )
      | ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X0 ) @ X1 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f20]) ).

thf(f20,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X0 ) @ X1 )
      = ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ X0 )
        & ( 'const/realax/real_le' @ X0 @ X1 ) ) ),
    inference(cnf_transformation,[],[f9]) ).

thf(f9,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X0 ) @ X1 )
      = ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ X0 )
        & ( 'const/realax/real_le' @ X0 @ X1 ) ) ),
    inference(fool_elimination,[],[f8]) ).

thf(f8,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( 'const/realax/real_le' @ X0 @ X1 )
      & ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ X0 )
        = ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X0 ) @ X1 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( 'const/realax/real_le' @ X0 @ X1 )
      & ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ X0 )
        = ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X0 ) @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/real/REAL_ABS_BOUNDS_') ).

thf(f118,plain,
    ( ! [X0: 'type/realax/real'] :
        ( $true
       != ( 'const/realax/real_le' @ X0 @ ( sK0 @ sK2 @ X0 @ sK1 ) ) )
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f117]) ).

thf(f117,plain,
    ( spl3_8
  <=> ! [X0: 'type/realax/real'] :
        ( $true
       != ( 'const/realax/real_le' @ X0 @ ( sK0 @ sK2 @ X0 @ sK1 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

thf(f166,plain,
    ( ~ spl3_6
    | ~ spl3_9 ),
    inference(avatar_contradiction_clause,[],[f165]) ).

thf(f165,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_9 ),
    inference(trivial_inequality_removal,[],[f160]) ).

thf(f160,plain,
    ( ( $true = $false )
    | ~ spl3_6
    | ~ spl3_9 ),
    inference(superposition,[],[f73,f155]) ).

thf(f155,plain,
    ( ( $true
      = ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ sK2 ) @ ( 'const/sets/sup' @ sK1 ) ) )
    | ~ spl3_9 ),
    inference(trivial_inequality_removal,[],[f154]) ).

thf(f154,plain,
    ( ( $true != $true )
    | ( $true
      = ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ sK2 ) @ ( 'const/sets/sup' @ sK1 ) ) )
    | ~ spl3_9 ),
    inference(duplicate_literal_removal,[],[f146]) ).

thf(f146,plain,
    ( ( $true
      = ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ sK2 ) @ ( 'const/sets/sup' @ sK1 ) ) )
    | ( $true
      = ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ sK2 ) @ ( 'const/sets/sup' @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl3_9 ),
    inference(superposition,[],[f123,f104]) ).

thf(f104,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ sK2 ) @ ( sK0 @ X0 @ X1 @ sK1 ) ) )
      | ( $true
        = ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ sK1 ) ) ) ),
    inference(trivial_inequality_removal,[],[f100]) ).

thf(f100,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ sK2 ) @ ( sK0 @ X0 @ X1 @ sK1 ) ) )
      | ( $true = $false )
      | ( $true
        = ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ sK1 ) ) ) ),
    inference(superposition,[],[f31,f97]) ).

thf(f97,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK0 @ X0 @ X1 @ sK1 ) ) @ sK2 ) )
      | ( $true
        = ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ sK1 ) ) ) ),
    inference(subsumption_resolution,[],[f96,f25]) ).

thf(f96,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK1 ) )
      | ( $true
        = ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK0 @ X0 @ X1 @ sK1 ) ) @ sK2 ) )
      | ( $true
        = ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ sK1 ) ) ) ),
    inference(trivial_inequality_removal,[],[f95]) ).

thf(f95,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( sK0 @ X0 @ X1 @ sK1 ) ) @ sK2 ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK1 ) )
      | ( $true != $true )
      | ( $true
        = ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ sK1 ) ) ) ),
    inference(superposition,[],[f27,f24]) ).

thf(f24,plain,
    ! [X2: 'type/realax/real',X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/sets/IN' @ 'type/realax/real' @ ( sK0 @ X2 @ X1 @ X0 ) @ X0 ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ X0 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f123,plain,
    ( ! [X0: 'type/realax/real'] :
        ( ( $true
         != ( 'const/realax/real_le' @ X0 @ ( sK0 @ sK2 @ X0 @ sK1 ) ) )
        | ( $true
          = ( 'const/realax/real_le' @ X0 @ ( 'const/sets/sup' @ sK1 ) ) ) )
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f122]) ).

thf(f122,plain,
    ( spl3_9
  <=> ! [X0: 'type/realax/real'] :
        ( ( $true
         != ( 'const/realax/real_le' @ X0 @ ( sK0 @ sK2 @ X0 @ sK1 ) ) )
        | ( $true
          = ( 'const/realax/real_le' @ X0 @ ( 'const/sets/sup' @ sK1 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

thf(f73,plain,
    ( ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ sK2 ) @ ( 'const/sets/sup' @ sK1 ) )
      = $false )
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f71]) ).

thf(f71,plain,
    ( spl3_6
  <=> ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ sK2 ) @ ( 'const/sets/sup' @ sK1 ) )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

thf(f145,plain,
    spl3_9,
    inference(avatar_split_clause,[],[f144,f122]) ).

thf(f144,plain,
    ! [X0: 'type/realax/real'] :
      ( ( $true
        = ( 'const/realax/real_le' @ X0 @ ( 'const/sets/sup' @ sK1 ) ) )
      | ( $true
       != ( 'const/realax/real_le' @ X0 @ ( sK0 @ sK2 @ X0 @ sK1 ) ) ) ),
    inference(subsumption_resolution,[],[f143,f25]) ).

thf(f143,plain,
    ! [X0: 'type/realax/real'] :
      ( ( $true
       != ( 'const/realax/real_le' @ X0 @ ( sK0 @ sK2 @ X0 @ sK1 ) ) )
      | ( $true
        = ( 'const/realax/real_le' @ X0 @ ( 'const/sets/sup' @ sK1 ) ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK1 ) ) ),
    inference(trivial_inequality_removal,[],[f142]) ).

thf(f142,plain,
    ! [X0: 'type/realax/real'] :
      ( ( $true
       != ( 'const/realax/real_le' @ X0 @ ( sK0 @ sK2 @ X0 @ sK1 ) ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK1 ) )
      | ( $true != $true )
      | ( $true
        = ( 'const/realax/real_le' @ X0 @ ( 'const/sets/sup' @ sK1 ) ) ) ),
    inference(duplicate_literal_removal,[],[f139]) ).

thf(f139,plain,
    ! [X0: 'type/realax/real'] :
      ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK1 ) )
      | ( $true != $true )
      | ( $true
       != ( 'const/realax/real_le' @ X0 @ ( sK0 @ sK2 @ X0 @ sK1 ) ) )
      | ( $true
        = ( 'const/realax/real_le' @ X0 @ ( 'const/sets/sup' @ sK1 ) ) )
      | ( $true
        = ( 'const/realax/real_le' @ X0 @ ( 'const/sets/sup' @ sK1 ) ) ) ),
    inference(superposition,[],[f22,f105]) ).

thf(f105,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/realax/real_le' @ ( sK0 @ X0 @ X1 @ sK1 ) @ sK2 ) )
      | ( $true
        = ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ sK1 ) ) ) ),
    inference(trivial_inequality_removal,[],[f99]) ).

thf(f99,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ sK1 ) ) )
      | ( $true
        = ( 'const/realax/real_le' @ ( sK0 @ X0 @ X1 @ sK1 ) @ sK2 ) )
      | ( $true = $false ) ),
    inference(superposition,[],[f97,f30]) ).

thf(f30,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X0 ) @ X1 )
        = $false )
      | ( ( 'const/realax/real_le' @ X0 @ X1 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f29]) ).

thf(f22,plain,
    ! [X2: 'type/realax/real',X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ( $true
       != ( 'const/realax/real_le' @ ( sK0 @ X2 @ X1 @ X0 ) @ X2 ) )
      | ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ X0 ) )
        = $true )
      | ( ( 'const/realax/real_le' @ X1 @ ( sK0 @ X2 @ X1 @ X0 ) )
       != $true )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f130,plain,
    ( ~ spl3_5
    | ~ spl3_7 ),
    inference(avatar_contradiction_clause,[],[f129]) ).

thf(f129,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_7 ),
    inference(trivial_inequality_removal,[],[f125]) ).

thf(f125,plain,
    ( ( $true = $false )
    | ~ spl3_5
    | ~ spl3_7 ),
    inference(superposition,[],[f115,f69]) ).

thf(f69,plain,
    ( ( $false
      = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ sK2 ) )
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f67]) ).

thf(f67,plain,
    ( spl3_5
  <=> ( $false
      = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ sK2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

thf(f115,plain,
    ( ( $true
      = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ sK2 ) )
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f113]) ).

thf(f119,plain,
    ( spl3_7
    | spl3_8 ),
    inference(avatar_split_clause,[],[f111,f117,f113]) ).

thf(f111,plain,
    ! [X0: 'type/realax/real'] :
      ( ( $true
       != ( 'const/realax/real_le' @ X0 @ ( sK0 @ sK2 @ X0 @ sK1 ) ) )
      | ( $true
        = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ sK2 ) ) ),
    inference(subsumption_resolution,[],[f110,f25]) ).

thf(f110,plain,
    ! [X0: 'type/realax/real'] :
      ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK1 ) )
      | ( $true
        = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ sK2 ) )
      | ( $true
       != ( 'const/realax/real_le' @ X0 @ ( sK0 @ sK2 @ X0 @ sK1 ) ) ) ),
    inference(trivial_inequality_removal,[],[f109]) ).

thf(f109,plain,
    ! [X0: 'type/realax/real'] :
      ( ( $true
        = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ sK2 ) )
      | ( $true
       != ( 'const/realax/real_le' @ X0 @ ( sK0 @ sK2 @ X0 @ sK1 ) ) )
      | ( $true != $true )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK1 ) ) ),
    inference(duplicate_literal_removal,[],[f107]) ).

thf(f107,plain,
    ! [X0: 'type/realax/real'] :
      ( ( $true != $true )
      | ( $true
       != ( 'const/realax/real_le' @ X0 @ ( sK0 @ sK2 @ X0 @ sK1 ) ) )
      | ( $true
        = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ sK2 ) )
      | ( $true
        = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ sK2 ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK1 ) ) ),
    inference(superposition,[],[f21,f89]) ).

thf(f89,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/realax/real_le' @ ( sK0 @ X0 @ X1 @ sK1 ) @ sK2 ) )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ X0 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f86]) ).

thf(f86,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( $true = $false )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ X0 )
        = $true )
      | ( $true
        = ( 'const/realax/real_le' @ ( sK0 @ X0 @ X1 @ sK1 ) @ sK2 ) ) ),
    inference(superposition,[],[f30,f77]) ).

thf(f21,plain,
    ! [X2: 'type/realax/real',X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ( $true
       != ( 'const/realax/real_le' @ ( sK0 @ X2 @ X1 @ X0 ) @ X2 ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X2 )
        = $true )
      | ( ( 'const/realax/real_le' @ X1 @ ( sK0 @ X2 @ X1 @ X0 ) )
       != $true ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f74,plain,
    ( spl3_5
    | spl3_6 ),
    inference(avatar_split_clause,[],[f61,f71,f67]) ).

thf(f61,plain,
    ( ( $false
      = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ sK2 ) )
    | ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ sK2 ) @ ( 'const/sets/sup' @ sK1 ) )
      = $false ) ),
    inference(trivial_inequality_removal,[],[f58]) ).

thf(f58,plain,
    ( ( $false
      = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK1 ) @ sK2 ) )
    | ( $true != $true )
    | ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ sK2 ) @ ( 'const/sets/sup' @ sK1 ) )
      = $false ) ),
    inference(superposition,[],[f26,f32]) ).

thf(f32,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X0 ) @ X1 )
        = $true )
      | ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ X0 )
        = $false )
      | ( ( 'const/realax/real_le' @ X0 @ X1 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f28]) ).

thf(f28,plain,
    ! [X0: 'type/realax/real',X1: 'type/realax/real'] :
      ( ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ X0 ) @ X1 )
        = $true )
      | ( ( ( 'const/realax/real_le' @ ( 'const/realax/real_neg' @ X1 ) @ X0 )
          & ( 'const/realax/real_le' @ X0 @ X1 ) )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f20]) ).

thf(f26,plain,
    ( ( 'const/realax/real_le' @ ( 'const/realax/real_abs' @ ( 'const/sets/sup' @ sK1 ) ) @ sK2 )
   != $true ),
    inference(cnf_transformation,[],[f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : ANA077^1 : TPTP v8.2.0. Released v7.0.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n023.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 07:58:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH1_THM_EQU_NAR problem
% 0.15/0.36  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/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38  % (4097)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)
% 0.15/0.38  % (4096)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.38  % (4098)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.15/0.38  % (4100)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)
% 0.15/0.38  % (4099)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38  % (4102)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.38  % (4101)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)
% 0.15/0.38  % (4099)Instruction limit reached!
% 0.15/0.38  % (4099)------------------------------
% 0.15/0.38  % (4099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (4100)Instruction limit reached!
% 0.15/0.38  % (4100)------------------------------
% 0.15/0.38  % (4100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (4099)Termination reason: Unknown
% 0.15/0.38  % (4099)Termination phase: Unused predicate definition removal
% 0.15/0.38  
% 0.15/0.38  % (4099)Memory used [KB]: 895
% 0.15/0.38  % (4099)Time elapsed: 0.003 s
% 0.15/0.38  % (4099)Instructions burned: 2 (million)
% 0.15/0.38  % (4099)------------------------------
% 0.15/0.38  % (4099)------------------------------
% 0.15/0.38  % (4100)Termination reason: Unknown
% 0.15/0.38  % (4103)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)
% 0.15/0.38  % (4100)Termination phase: Property scanning
% 0.15/0.38  
% 0.15/0.38  % (4100)Memory used [KB]: 895
% 0.15/0.38  % (4100)Time elapsed: 0.003 s
% 0.15/0.38  % (4100)Instructions burned: 2 (million)
% 0.15/0.38  % (4100)------------------------------
% 0.15/0.38  % (4100)------------------------------
% 0.15/0.38  % (4097)Instruction limit reached!
% 0.15/0.38  % (4097)------------------------------
% 0.15/0.38  % (4097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (4097)Termination reason: Unknown
% 0.15/0.38  % (4097)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (4097)Memory used [KB]: 5500
% 0.15/0.38  % (4097)Time elapsed: 0.005 s
% 0.15/0.38  % (4097)Instructions burned: 4 (million)
% 0.15/0.38  % (4097)------------------------------
% 0.15/0.38  % (4097)------------------------------
% 0.15/0.38  % (4103)Instruction limit reached!
% 0.15/0.38  % (4103)------------------------------
% 0.15/0.38  % (4103)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (4103)Termination reason: Unknown
% 0.15/0.38  % (4103)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (4103)Memory used [KB]: 5500
% 0.15/0.38  % (4103)Time elapsed: 0.004 s
% 0.15/0.38  % (4103)Instructions burned: 3 (million)
% 0.15/0.38  % (4103)------------------------------
% 0.15/0.38  % (4103)------------------------------
% 0.15/0.38  % (4101)Refutation not found, incomplete strategy
% 0.15/0.38  % (4101)------------------------------
% 0.15/0.38  % (4101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (4101)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38  
% 0.15/0.38  
% 0.15/0.38  % (4101)Memory used [KB]: 5500
% 0.15/0.38  % (4101)Time elapsed: 0.005 s
% 0.15/0.38  % (4101)Instructions burned: 4 (million)
% 0.15/0.38  % (4101)------------------------------
% 0.15/0.38  % (4101)------------------------------
% 0.15/0.39  % (4102)Instruction limit reached!
% 0.15/0.39  % (4102)------------------------------
% 0.15/0.39  % (4102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (4102)Termination reason: Unknown
% 0.15/0.39  % (4102)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (4102)Memory used [KB]: 5500
% 0.15/0.39  % (4102)Time elapsed: 0.014 s
% 0.15/0.39  % (4102)Instructions burned: 18 (million)
% 0.15/0.39  % (4102)------------------------------
% 0.15/0.39  % (4102)------------------------------
% 0.15/0.39  % (4104)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.39  % (4105)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.39  % (4096)First to succeed.
% 0.15/0.39  % (4106)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.40  % (4107)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.15/0.40  % (4098)Instruction limit reached!
% 0.15/0.40  % (4098)------------------------------
% 0.15/0.40  % (4098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (4098)Termination reason: Unknown
% 0.15/0.40  % (4098)Termination phase: Saturation
% 0.15/0.40  
% 0.15/0.40  % (4098)Memory used [KB]: 5628
% 0.15/0.40  % (4098)Time elapsed: 0.021 s
% 0.15/0.40  % (4098)Instructions burned: 27 (million)
% 0.15/0.40  % (4098)------------------------------
% 0.15/0.40  % (4098)------------------------------
% 0.15/0.40  % (4106)Instruction limit reached!
% 0.15/0.40  % (4106)------------------------------
% 0.15/0.40  % (4106)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (4106)Termination reason: Unknown
% 0.15/0.40  % (4106)Termination phase: Saturation
% 0.15/0.40  
% 0.15/0.40  % (4106)Memory used [KB]: 5500
% 0.15/0.40  % (4106)Time elapsed: 0.004 s
% 0.15/0.40  % (4106)Instructions burned: 3 (million)
% 0.15/0.40  % (4106)------------------------------
% 0.15/0.40  % (4106)------------------------------
% 0.15/0.40  % (4108)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.40  % (4096)Refutation found. Thanks to Tanya!
% 0.15/0.40  % SZS status Theorem for theBenchmark
% 0.15/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40  % (4096)------------------------------
% 0.15/0.40  % (4096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (4096)Termination reason: Refutation
% 0.15/0.40  
% 0.15/0.40  % (4096)Memory used [KB]: 5628
% 0.15/0.40  % (4096)Time elapsed: 0.022 s
% 0.15/0.40  % (4096)Instructions burned: 24 (million)
% 0.15/0.40  % (4096)------------------------------
% 0.15/0.40  % (4096)------------------------------
% 0.15/0.40  % (4095)Success in time 0.02 s
% 0.15/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------