TSTP Solution File: ANA075^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA075^1 : 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 : n013.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 18:40:22 EDT 2024

% Result   : Theorem 3.10s 0.78s
% Output   : Refutation 3.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   42
% Syntax   : Number of formulae    :  136 (  12 unt;  22 typ;   0 def)
%            Number of atoms       :  927 ( 267 equ;   0 cnn)
%            Maximal formula atoms :   12 (   8 avg)
%            Number of connectives : 1135 ( 146   ~; 148   |;  59   &; 736   @)
%                                         (   9 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  104 ( 104   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   30 (  27 usr;  13 con; 0-3 aty)
%            Number of variables   :  203 (   0   ^ 165   !;  31   ?; 203   :)
%                                         (   7  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_6,type,
    'type/realax/real': $tType ).

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

thf(func_def_1,type,
    'const/trivia/I': 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_2,type,
    'const/sets/sup': ( 'type/realax/real' > $o ) > 'type/realax/real' ).

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

thf(func_def_4,type,
    'const/sets/IN': 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).

thf(func_def_5,type,
    'const/sets/EMPTY': 
      !>[X0: $tType] : ( X0 > $o ) ).

thf(func_def_6,type,
    'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o ).

thf(func_def_10,type,
    sP0: ( 'type/realax/real' > $o ) > $o ).

thf(func_def_11,type,
    sP1: ( 'type/realax/real' > $o ) > $o ).

thf(func_def_12,type,
    sK2: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_13,type,
    sK3: 'type/realax/real' > $o ).

thf(func_def_14,type,
    sK4: 'type/realax/real' > $o ).

thf(func_def_15,type,
    sK5: 'type/realax/real' ).

thf(func_def_16,type,
    sK6: 'type/realax/real' > ( 'type/realax/real' > $o ) > 'type/realax/real' ).

thf(func_def_17,type,
    sK7: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_18,type,
    sK8: 'type/realax/real' > ( 'type/realax/real' > $o ) > 'type/realax/real' ).

thf(func_def_19,type,
    sK9: 'type/realax/real' > ( 'type/realax/real' > $o ) > 'type/realax/real' ).

thf(func_def_21,type,
    ph11: 
      !>[X0: $tType] : X0 ).

thf(func_def_23,type,
    sK12: 'type/realax/real' ).

thf(func_def_24,type,
    sK13: 'type/realax/real' ).

thf(func_def_25,type,
    sK14: 'type/realax/real' ).

thf(f654,plain,
    $false,
    inference(avatar_sat_refutation,[],[f330,f337,f390,f415,f519,f541,f584,f653]) ).

thf(f653,plain,
    ~ spl10_8,
    inference(avatar_contradiction_clause,[],[f652]) ).

thf(f652,plain,
    ( $false
    | ~ spl10_8 ),
    inference(subsumption_resolution,[],[f651,f61]) ).

thf(f61,plain,
    'const/sets/EMPTY' @ ( 'type/realax/real' != sK3 ),
    inference(cnf_transformation,[],[f41]) ).

thf(f41,plain,
    ( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK3 ) @ ( 'const/sets/sup' @ sK4 ) )
     != $true )
    & ( $true
      = ( 'const/sets/SUBSET' @ 'type/realax/real' @ sK3 @ sK4 ) )
    & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != sK3 ) )
    & ! [X3: 'type/realax/real'] :
        ( ( $true
         != ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ sK4 ) )
        | ( ( 'const/realax/real_le' @ X3 @ sK5 )
          = $true ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f28,f40,f39]) ).

thf(f39,plain,
    ( ? [X0: 'type/realax/real' > $o,X1: 'type/realax/real' > $o] :
        ( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ ( 'const/sets/sup' @ X1 ) )
         != $true )
        & ( ( 'const/sets/SUBSET' @ 'type/realax/real' @ X0 @ X1 )
          = $true )
        & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
        & ? [X2: 'type/realax/real'] :
          ! [X3: 'type/realax/real'] :
            ( ( $true
             != ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 ) )
            | ( $true
              = ( 'const/realax/real_le' @ X3 @ X2 ) ) ) )
   => ( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK3 ) @ ( 'const/sets/sup' @ sK4 ) )
       != $true )
      & ( $true
        = ( 'const/sets/SUBSET' @ 'type/realax/real' @ sK3 @ sK4 ) )
      & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != sK3 ) )
      & ? [X2: 'type/realax/real'] :
        ! [X3: 'type/realax/real'] :
          ( ( $true
           != ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ sK4 ) )
          | ( $true
            = ( 'const/realax/real_le' @ X3 @ X2 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f40,plain,
    ( ? [X2: 'type/realax/real'] :
      ! [X3: 'type/realax/real'] :
        ( ( $true
         != ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ sK4 ) )
        | ( $true
          = ( 'const/realax/real_le' @ X3 @ X2 ) ) )
   => ! [X3: 'type/realax/real'] :
        ( ( $true
         != ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ sK4 ) )
        | ( ( 'const/realax/real_le' @ X3 @ sK5 )
          = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f28,plain,
    ? [X0: 'type/realax/real' > $o,X1: 'type/realax/real' > $o] :
      ( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ ( 'const/sets/sup' @ X1 ) )
       != $true )
      & ( ( 'const/sets/SUBSET' @ 'type/realax/real' @ X0 @ X1 )
        = $true )
      & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
      & ? [X2: 'type/realax/real'] :
        ! [X3: 'type/realax/real'] :
          ( ( $true
           != ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 ) )
          | ( $true
            = ( 'const/realax/real_le' @ X3 @ X2 ) ) ) ),
    inference(flattening,[],[f27]) ).

thf(f27,plain,
    ? [X0: 'type/realax/real' > $o,X1: 'type/realax/real' > $o] :
      ( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ ( 'const/sets/sup' @ X1 ) )
       != $true )
      & ? [X2: 'type/realax/real'] :
        ! [X3: 'type/realax/real'] :
          ( ( $true
           != ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 ) )
          | ( $true
            = ( 'const/realax/real_le' @ X3 @ X2 ) ) )
      & ( ( 'const/sets/SUBSET' @ 'type/realax/real' @ X0 @ X1 )
        = $true )
      & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) ),
    inference(ennf_transformation,[],[f18]) ).

thf(f18,plain,
    ~ ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real' > $o] :
        ( ( ? [X2: 'type/realax/real'] :
            ! [X3: 'type/realax/real'] :
              ( ( $true
                = ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 ) )
             => ( $true
                = ( 'const/realax/real_le' @ X3 @ X2 ) ) )
          & ( ( 'const/sets/SUBSET' @ 'type/realax/real' @ X0 @ X1 )
            = $true )
          & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
       => ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ ( 'const/sets/sup' @ X1 ) )
          = $true ) ),
    inference(fool_elimination,[],[f17]) ).

thf(f17,plain,
    ~ ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real' > $o] :
        ( ( ? [X2: 'type/realax/real'] :
            ! [X3: 'type/realax/real'] :
              ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X1 )
             => ( 'const/realax/real_le' @ X3 @ X2 ) )
          & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
          & ( 'const/sets/SUBSET' @ 'type/realax/real' @ X0 @ X1 ) )
       => ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ ( 'const/sets/sup' @ X1 ) ) ),
    inference(rectify,[],[f9]) ).

thf(f9,negated_conjecture,
    ~ ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real' > $o] :
        ( ( ? [X2: 'type/realax/real'] :
            ! [X4: 'type/realax/real'] :
              ( ( 'const/sets/IN' @ 'type/realax/real' @ X4 @ X1 )
             => ( 'const/realax/real_le' @ X4 @ X2 ) )
          & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
          & ( 'const/sets/SUBSET' @ 'type/realax/real' @ X0 @ X1 ) )
       => ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ ( 'const/sets/sup' @ X1 ) ) ),
    inference(negated_conjecture,[],[f8]) ).

thf(f8,conjecture,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real' > $o] :
      ( ( ? [X2: 'type/realax/real'] :
          ! [X4: 'type/realax/real'] :
            ( ( 'const/sets/IN' @ 'type/realax/real' @ X4 @ X1 )
           => ( 'const/realax/real_le' @ X4 @ X2 ) )
        & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
        & ( 'const/sets/SUBSET' @ 'type/realax/real' @ X0 @ X1 ) )
     => ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ ( 'const/sets/sup' @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/REAL_SUP_LE_SUBSET_') ).

thf(f651,plain,
    ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK3 ) )
    | ~ spl10_8 ),
    inference(subsumption_resolution,[],[f650,f63]) ).

thf(f63,plain,
    ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK3 ) @ ( 'const/sets/sup' @ sK4 ) )
   != $true ),
    inference(cnf_transformation,[],[f41]) ).

thf(f650,plain,
    ( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK3 ) @ ( 'const/sets/sup' @ sK4 ) )
      = $true )
    | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK3 ) )
    | ~ spl10_8 ),
    inference(trivial_inequality_removal,[],[f649]) ).

thf(f649,plain,
    ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK3 ) )
    | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK3 ) @ ( 'const/sets/sup' @ sK4 ) )
      = $true )
    | ( $true != $true )
    | ~ spl10_8 ),
    inference(duplicate_literal_removal,[],[f645]) ).

thf(f645,plain,
    ( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK3 ) @ ( 'const/sets/sup' @ sK4 ) )
      = $true )
    | ( $true != $true )
    | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK3 ) )
    | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK3 ) )
    | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK3 ) @ ( 'const/sets/sup' @ sK4 ) )
      = $true )
    | ~ spl10_8 ),
    inference(superposition,[],[f632,f64]) ).

thf(f64,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X0 ) @ X0 ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 )
        = $true ) ),
    inference(cnf_transformation,[],[f43]) ).

thf(f43,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ( ( $true
         != ( 'const/realax/real_le' @ ( sK6 @ X1 @ X0 ) @ X1 ) )
        & ( $true
          = ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X0 ) @ X0 ) ) )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 )
        = $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f26,f42]) ).

thf(f42,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ? [X2: 'type/realax/real'] :
          ( ( ( 'const/realax/real_le' @ X2 @ X1 )
           != $true )
          & ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
            = $true ) )
     => ( ( $true
         != ( 'const/realax/real_le' @ ( sK6 @ X1 @ X0 ) @ X1 ) )
        & ( $true
          = ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ X1 @ X0 ) @ X0 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f26,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ? [X2: 'type/realax/real'] :
          ( ( ( 'const/realax/real_le' @ X2 @ X1 )
           != $true )
          & ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
            = $true ) )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 )
        = $true ) ),
    inference(flattening,[],[f25]) ).

thf(f25,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 )
        = $true )
      | ? [X2: 'type/realax/real'] :
          ( ( ( 'const/realax/real_le' @ X2 @ X1 )
           != $true )
          & ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
            = $true ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) ) ),
    inference(ennf_transformation,[],[f12]) ).

thf(f12,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' @ X2 @ X1 )
              = $true ) )
        & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
     => ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 )
        = $true ) ),
    inference(fool_elimination,[],[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 )
           => ( 'const/realax/real_le' @ X2 @ X1 ) )
        & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
     => ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 ) ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ! [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' @ X2 @ X1 ) )
        & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
     => ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/REAL_SUP_LE_') ).

thf(f632,plain,
    ( ! [X0: 'type/realax/real' > $o] :
        ( ( $true
         != ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ ( 'const/sets/sup' @ sK4 ) @ X0 ) @ sK3 ) )
        | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
        | ( $true
          = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ ( 'const/sets/sup' @ sK4 ) ) ) )
    | ~ spl10_8 ),
    inference(subsumption_resolution,[],[f630,f136]) ).

thf(f136,plain,
    ( ( ( sP1 @ sK4 )
      = $true )
    | ~ spl10_8 ),
    inference(avatar_component_clause,[],[f115]) ).

thf(f115,plain,
    ( spl10_8
  <=> ( ( sP1 @ sK4 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).

thf(f630,plain,
    ! [X0: 'type/realax/real' > $o] :
      ( ( $true
       != ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ ( 'const/sets/sup' @ sK4 ) @ X0 ) @ sK3 ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ( ( sP1 @ sK4 )
       != $true )
      | ( $true
        = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ ( 'const/sets/sup' @ sK4 ) ) ) ),
    inference(trivial_inequality_removal,[],[f624]) ).

thf(f624,plain,
    ! [X0: 'type/realax/real' > $o] :
      ( ( $true
        = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ ( 'const/sets/sup' @ sK4 ) ) )
      | ( $true != $true )
      | ( ( sP1 @ sK4 )
       != $true )
      | ( $true
       != ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ ( 'const/sets/sup' @ sK4 ) @ X0 ) @ sK3 ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) ) ),
    inference(superposition,[],[f139,f174]) ).

thf(f174,plain,
    ! [X0: 'type/realax/real'] :
      ( ( $true
        = ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK4 ) )
      | ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK3 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f173]) ).

thf(f173,plain,
    ! [X0: 'type/realax/real'] :
      ( ( $true
        = ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK4 ) )
      | ( $true != $true )
      | ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK3 )
       != $true ) ),
    inference(superposition,[],[f58,f62]) ).

thf(f62,plain,
    ( $true
    = ( 'const/sets/SUBSET' @ 'type/realax/real' @ sK3 @ sK4 ) ),
    inference(cnf_transformation,[],[f41]) ).

thf(f58,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/SUBSET' @ X0 @ X1 @ X2 )
       != $true )
      | ( $true
       != ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
      | ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
        = $true ) ),
    inference(cnf_transformation,[],[f38]) ).

thf(f38,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o] :
      ( ( ! [X3: X0] :
            ( ( $true
             != ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
            | ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
              = $true ) )
        | ( ( 'const/sets/SUBSET' @ X0 @ X1 @ X2 )
         != $true ) )
      & ( ( ( 'const/sets/SUBSET' @ X0 @ X1 @ X2 )
          = $true )
        | ( ( $true
            = ( 'const/sets/IN' @ X0 @ ( sK2 @ X0 @ X2 @ X1 ) @ X1 ) )
          & ( $true
           != ( 'const/sets/IN' @ X0 @ ( sK2 @ X0 @ X2 @ X1 ) @ X2 ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f36,f37]) ).

thf(f37,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o] :
      ( ? [X4: X0] :
          ( ( ( 'const/sets/IN' @ X0 @ X4 @ X1 )
            = $true )
          & ( ( 'const/sets/IN' @ X0 @ X4 @ X2 )
           != $true ) )
     => ( ( $true
          = ( 'const/sets/IN' @ X0 @ ( sK2 @ X0 @ X2 @ X1 ) @ X1 ) )
        & ( $true
         != ( 'const/sets/IN' @ X0 @ ( sK2 @ X0 @ X2 @ X1 ) @ X2 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f36,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o] :
      ( ( ! [X3: X0] :
            ( ( $true
             != ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
            | ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
              = $true ) )
        | ( ( 'const/sets/SUBSET' @ X0 @ X1 @ X2 )
         != $true ) )
      & ( ( ( 'const/sets/SUBSET' @ X0 @ X1 @ X2 )
          = $true )
        | ? [X4: X0] :
            ( ( ( 'const/sets/IN' @ X0 @ X4 @ X1 )
              = $true )
            & ( ( 'const/sets/IN' @ X0 @ X4 @ X2 )
             != $true ) ) ) ),
    inference(rectify,[],[f35]) ).

thf(f35,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o] :
      ( ( ! [X3: X0] :
            ( ( $true
             != ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
            | ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
              = $true ) )
        | ( ( 'const/sets/SUBSET' @ X0 @ X1 @ X2 )
         != $true ) )
      & ( ( ( 'const/sets/SUBSET' @ X0 @ X1 @ X2 )
          = $true )
        | ? [X3: X0] :
            ( ( $true
              = ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
            & ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
             != $true ) ) ) ),
    inference(nnf_transformation,[],[f31]) ).

thf(f31,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o] :
      ( ! [X3: X0] :
          ( ( $true
           != ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
          | ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
            = $true ) )
    <=> ( ( 'const/sets/SUBSET' @ X0 @ X1 @ X2 )
        = $true ) ),
    inference(ennf_transformation,[],[f20]) ).

thf(f20,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o] :
      ( ! [X3: X0] :
          ( ( $true
            = ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
         => ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
            = $true ) )
    <=> ( ( 'const/sets/SUBSET' @ X0 @ X1 @ X2 )
        = $true ) ),
    inference(fool_elimination,[],[f19]) ).

thf(f19,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o] :
      ( ( 'const/sets/SUBSET' @ X0 @ X1 @ X2 )
      = ( ! [X3: X0] :
            ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
           => ( 'const/sets/IN' @ X0 @ X3 @ X2 ) ) ) ),
    inference(rectify,[],[f6]) ).

thf(f6,axiom,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o] :
      ( ( 'const/sets/SUBSET' @ X0 @ X1 @ X2 )
      = ( ! [X4: X0] :
            ( ( 'const/sets/IN' @ X0 @ X4 @ X1 )
           => ( 'const/sets/IN' @ X0 @ X4 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/SUBSET_') ).

thf(f139,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real' > $o] :
      ( ( $true
       != ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ ( 'const/sets/sup' @ X0 ) @ X1 ) @ X0 ) )
      | ( $true
       != ( sP1 @ X0 ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
      | ( $true
        = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ ( 'const/sets/sup' @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f138]) ).

thf(f138,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real' > $o] :
      ( ( $true != $true )
      | ( $true
       != ( 'const/sets/IN' @ 'type/realax/real' @ ( sK6 @ ( 'const/sets/sup' @ X0 ) @ X1 ) @ X0 ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X1 ) )
      | ( $true
       != ( sP1 @ X0 ) )
      | ( $true
        = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X1 ) @ ( 'const/sets/sup' @ X0 ) ) ) ),
    inference(superposition,[],[f65,f69]) ).

thf(f69,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ X0 ) )
        = $true )
      | ( $true
       != ( sP1 @ X0 ) )
      | ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ X0 )
       != $true ) ),
    inference(cnf_transformation,[],[f49]) ).

thf(f49,plain,
    ! [X0: 'type/realax/real' > $o] :
      ( ( ! [X1: 'type/realax/real'] :
            ( ( ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ X0 ) )
              = $true )
            | ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ X0 )
             != $true ) )
        & ( $true
          = ( sP0 @ X0 ) ) )
      | ( $true
       != ( sP1 @ X0 ) ) ),
    inference(rectify,[],[f48]) ).

thf(f48,plain,
    ! [X0: 'type/realax/real' > $o] :
      ( ( ! [X3: 'type/realax/real'] :
            ( ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X0 ) )
              = $true )
            | ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
             != $true ) )
        & ( $true
          = ( sP0 @ X0 ) ) )
      | ( $true
       != ( sP1 @ X0 ) ) ),
    inference(nnf_transformation,[],[f33]) ).

thf(f33,plain,
    ! [X0: 'type/realax/real' > $o] :
      ( ( ! [X3: 'type/realax/real'] :
            ( ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X0 ) )
              = $true )
            | ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
             != $true ) )
        & ( $true
          = ( sP0 @ X0 ) ) )
      | ( $true
       != ( sP1 @ X0 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).

thf(f65,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ( $true
       != ( 'const/realax/real_le' @ ( sK6 @ X1 @ X0 ) @ X1 ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 )
        = $true ) ),
    inference(cnf_transformation,[],[f43]) ).

thf(f584,plain,
    ( spl10_10
    | spl10_8
    | ~ spl10_11 ),
    inference(avatar_split_clause,[],[f577,f133,f115,f130]) ).

thf(f130,plain,
    ( spl10_10
  <=> ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK4 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).

thf(f133,plain,
    ( spl10_11
  <=> ! [X0: 'type/realax/real'] :
        ( ( 'const/realax/real_le' @ ( sK9 @ X0 @ sK4 ) @ sK5 )
        = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).

thf(f577,plain,
    ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK4 ) )
    | ( ( sP1 @ sK4 )
      = $true )
    | ~ spl10_11 ),
    inference(trivial_inequality_removal,[],[f576]) ).

thf(f576,plain,
    ( ( ( sP1 @ sK4 )
      = $true )
    | ( $true != $true )
    | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK4 ) )
    | ~ spl10_11 ),
    inference(superposition,[],[f72,f134]) ).

thf(f134,plain,
    ( ! [X0: 'type/realax/real'] :
        ( ( 'const/realax/real_le' @ ( sK9 @ X0 @ sK4 ) @ sK5 )
        = $true )
    | ~ spl10_11 ),
    inference(avatar_component_clause,[],[f133]) ).

thf(f72,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ( $true
       != ( 'const/realax/real_le' @ ( sK9 @ X1 @ X0 ) @ X1 ) )
      | ( $true
        = ( sP1 @ X0 ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) ) ),
    inference(cnf_transformation,[],[f55]) ).

thf(f55,plain,
    ! [X0: 'type/realax/real' > $o] :
      ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ! [X1: 'type/realax/real'] :
          ( ( $true
            = ( 'const/sets/IN' @ 'type/realax/real' @ ( sK9 @ X1 @ X0 ) @ X0 ) )
          & ( $true
           != ( 'const/realax/real_le' @ ( sK9 @ X1 @ X0 ) @ X1 ) ) )
      | ( $true
        = ( sP1 @ X0 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f34,f54]) ).

thf(f54,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' @ X2 @ X1 )
           != $true ) )
     => ( ( $true
          = ( 'const/sets/IN' @ 'type/realax/real' @ ( sK9 @ X1 @ X0 ) @ X0 ) )
        & ( $true
         != ( 'const/realax/real_le' @ ( sK9 @ X1 @ X0 ) @ X1 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f34,plain,
    ! [X0: 'type/realax/real' > $o] :
      ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ! [X1: 'type/realax/real'] :
        ? [X2: 'type/realax/real'] :
          ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
            = $true )
          & ( ( 'const/realax/real_le' @ X2 @ X1 )
           != $true ) )
      | ( $true
        = ( sP1 @ X0 ) ) ),
    inference(definition_folding,[],[f30,f33,f32]) ).

thf(f32,plain,
    ! [X0: 'type/realax/real' > $o] :
      ( ! [X4: 'type/realax/real'] :
          ( ( $true
            = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) )
          | ? [X5: 'type/realax/real'] :
              ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X5 @ X0 )
                = $true )
              & ( $true
               != ( 'const/realax/real_le' @ X5 @ X4 ) ) ) )
      | ( $true
       != ( sP0 @ X0 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).

thf(f30,plain,
    ! [X0: 'type/realax/real' > $o] :
      ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ! [X1: 'type/realax/real'] :
        ? [X2: 'type/realax/real'] :
          ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
            = $true )
          & ( ( 'const/realax/real_le' @ X2 @ X1 )
           != $true ) )
      | ( ! [X3: 'type/realax/real'] :
            ( ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X0 ) )
              = $true )
            | ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
             != $true ) )
        & ! [X4: 'type/realax/real'] :
            ( ( $true
              = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) )
            | ? [X5: 'type/realax/real'] :
                ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X5 @ X0 )
                  = $true )
                & ( $true
                 != ( 'const/realax/real_le' @ X5 @ X4 ) ) ) ) ) ),
    inference(flattening,[],[f29]) ).

thf(f29,plain,
    ! [X0: 'type/realax/real' > $o] :
      ( ( ! [X3: 'type/realax/real'] :
            ( ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X0 ) )
              = $true )
            | ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
             != $true ) )
        & ! [X4: 'type/realax/real'] :
            ( ( $true
              = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) )
            | ? [X5: 'type/realax/real'] :
                ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X5 @ X0 )
                  = $true )
                & ( $true
                 != ( 'const/realax/real_le' @ X5 @ X4 ) ) ) ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ! [X1: 'type/realax/real'] :
        ? [X2: 'type/realax/real'] :
          ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
            = $true )
          & ( ( 'const/realax/real_le' @ X2 @ X1 )
           != $true ) ) ),
    inference(ennf_transformation,[],[f14]) ).

thf(f14,plain,
    ! [X0: 'type/realax/real' > $o] :
      ( ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
        & ? [X1: 'type/realax/real'] :
          ! [X2: 'type/realax/real'] :
            ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
              = $true )
           => ( ( 'const/realax/real_le' @ X2 @ X1 )
              = $true ) ) )
     => ( ! [X4: 'type/realax/real'] :
            ( ! [X5: 'type/realax/real'] :
                ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X5 @ X0 )
                  = $true )
               => ( $true
                  = ( 'const/realax/real_le' @ X5 @ X4 ) ) )
           => ( $true
              = ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) ) )
        & ! [X3: 'type/realax/real'] :
            ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
              = $true )
           => ( ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X0 ) )
              = $true ) ) ) ),
    inference(fool_elimination,[],[f13]) ).

thf(f13,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' @ X2 @ X1 ) )
        & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
     => ( ! [X3: 'type/realax/real'] :
            ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
           => ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X0 ) ) )
        & ! [X4: 'type/realax/real'] :
            ( ! [X5: 'type/realax/real'] :
                ( ( 'const/sets/IN' @ 'type/realax/real' @ X5 @ X0 )
               => ( 'const/realax/real_le' @ X5 @ X4 ) )
           => ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) ) ) ),
    inference(rectify,[],[f7]) ).

thf(f7,axiom,
    ! [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' @ X2 @ X1 ) )
        & ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
     => ( ! [X1: 'type/realax/real'] :
            ( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ X0 )
           => ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ X0 ) ) )
        & ! [X1: 'type/realax/real'] :
            ( ! [X2: 'type/realax/real'] :
                ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
               => ( 'const/realax/real_le' @ X2 @ X1 ) )
           => ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/SUP_') ).

thf(f541,plain,
    ( spl10_11
    | spl10_10
    | spl10_8 ),
    inference(avatar_split_clause,[],[f540,f115,f130,f133]) ).

thf(f540,plain,
    ( ! [X0: 'type/realax/real'] :
        ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK4 ) )
        | ( ( 'const/realax/real_le' @ ( sK9 @ X0 @ sK4 ) @ sK5 )
          = $true ) )
    | spl10_8 ),
    inference(subsumption_resolution,[],[f537,f116]) ).

thf(f116,plain,
    ( ( ( sP1 @ sK4 )
     != $true )
    | spl10_8 ),
    inference(avatar_component_clause,[],[f115]) ).

thf(f537,plain,
    ! [X0: 'type/realax/real'] :
      ( ( ( sP1 @ sK4 )
        = $true )
      | ( ( 'const/realax/real_le' @ ( sK9 @ X0 @ sK4 ) @ sK5 )
        = $true )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK4 ) ) ),
    inference(trivial_inequality_removal,[],[f534]) ).

thf(f534,plain,
    ! [X0: 'type/realax/real'] :
      ( ( ( sP1 @ sK4 )
        = $true )
      | ( $true != $true )
      | ( ( 'const/realax/real_le' @ ( sK9 @ X0 @ sK4 ) @ sK5 )
        = $true )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK4 ) ) ),
    inference(superposition,[],[f60,f73]) ).

thf(f73,plain,
    ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
      ( ( $true
        = ( 'const/sets/IN' @ 'type/realax/real' @ ( sK9 @ X1 @ X0 ) @ X0 ) )
      | ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
      | ( $true
        = ( sP1 @ X0 ) ) ),
    inference(cnf_transformation,[],[f55]) ).

thf(f60,plain,
    ! [X3: 'type/realax/real'] :
      ( ( $true
       != ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ sK4 ) )
      | ( ( 'const/realax/real_le' @ X3 @ sK5 )
        = $true ) ),
    inference(cnf_transformation,[],[f41]) ).

thf(f519,plain,
    ( ~ spl10_10
    | ~ spl10_27 ),
    inference(avatar_contradiction_clause,[],[f518]) ).

thf(f518,plain,
    ( $false
    | ~ spl10_10
    | ~ spl10_27 ),
    inference(trivial_inequality_removal,[],[f514]) ).

thf(f514,plain,
    ( ( $false = $true )
    | ~ spl10_10
    | ~ spl10_27 ),
    inference(backward_demodulation,[],[f329,f505]) ).

thf(f505,plain,
    ( ! [X0: 'type/realax/real'] :
        ( $false
        = ( sK4 @ X0 ) )
    | ~ spl10_10 ),
    inference(trivial_inequality_removal,[],[f498]) ).

thf(f498,plain,
    ( ! [X0: 'type/realax/real'] :
        ( ( $true != $true )
        | ( $false
          = ( sK4 @ X0 ) ) )
    | ~ spl10_10 ),
    inference(superposition,[],[f318,f79]) ).

thf(f79,plain,
    ! [X0: $tType,X2: X0,X1: X0 > $o] :
      ( ( $true
        = ( 'const/sets/IN' @ X0 @ X2 @ X1 ) )
      | ( $false
        = ( X1 @ X2 ) ) ),
    inference(binary_proxy_clausification,[],[f74]) ).

thf(f74,plain,
    ! [X0: $tType,X2: X0,X1: X0 > $o] :
      ( ( X1 @ X2 )
      = ( 'const/sets/IN' @ X0 @ X2 @ X1 ) ),
    inference(cnf_transformation,[],[f24]) ).

thf(f24,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0] :
      ( ( X1 @ X2 )
      = ( 'const/sets/IN' @ X0 @ X2 @ X1 ) ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ! [X0: $tType,X3: X0 > $o,X1: X0] :
      ( ( 'const/sets/IN' @ X0 @ X1 @ X3 )
      = ( X3 @ X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/IN_') ).

thf(f318,plain,
    ( ! [X0: 'type/realax/real'] :
        ( $true
       != ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK4 ) )
    | ~ spl10_10 ),
    inference(superposition,[],[f59,f131]) ).

thf(f131,plain,
    ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK4 ) )
    | ~ spl10_10 ),
    inference(avatar_component_clause,[],[f130]) ).

thf(f59,plain,
    ! [X0: $tType,X1: X0] :
      ( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 )
     != $true ),
    inference(cnf_transformation,[],[f23]) ).

thf(f23,plain,
    ! [X0: $tType,X1: X0] :
      ( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 )
     != $true ),
    inference(flattening,[],[f16]) ).

thf(f16,plain,
    ! [X0: $tType,X1: X0] :
      ( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 )
     != $true ),
    inference(fool_elimination,[],[f15]) ).

thf(f15,plain,
    ! [X0: $tType,X1: X0] :
      ~ ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 ),
    inference(rectify,[],[f4]) ).

thf(f4,axiom,
    ! [X0: $tType,X1: X0] :
      ~ ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/NOT_IN_EMPTY_') ).

thf(f329,plain,
    ( ( $true
      = ( sK4 @ sK14 ) )
    | ~ spl10_27 ),
    inference(avatar_component_clause,[],[f328]) ).

thf(f328,plain,
    ( spl10_27
  <=> ( $true
      = ( sK4 @ sK14 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_27])]) ).

thf(f415,plain,
    ( ~ spl10_26
    | ~ spl10_28 ),
    inference(avatar_contradiction_clause,[],[f414]) ).

thf(f414,plain,
    ( $false
    | ~ spl10_26
    | ~ spl10_28 ),
    inference(trivial_inequality_removal,[],[f413]) ).

thf(f413,plain,
    ( ( $false = $true )
    | ~ spl10_26
    | ~ spl10_28 ),
    inference(backward_demodulation,[],[f326,f333]) ).

thf(f333,plain,
    ( ( $false
      = ( sK3 @ sK14 ) )
    | ~ spl10_28 ),
    inference(avatar_component_clause,[],[f332]) ).

thf(f332,plain,
    ( spl10_28
  <=> ( $false
      = ( sK3 @ sK14 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_28])]) ).

thf(f326,plain,
    ( ( ( sK3 @ sK14 )
      = $true )
    | ~ spl10_26 ),
    inference(avatar_component_clause,[],[f325]) ).

thf(f325,plain,
    ( spl10_26
  <=> ( ( sK3 @ sK14 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_26])]) ).

thf(f390,plain,
    ( spl10_28
    | ~ spl10_29 ),
    inference(avatar_split_clause,[],[f383,f335,f332]) ).

thf(f335,plain,
    ( spl10_29
  <=> ( $false
      = ( sK4 @ sK14 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_29])]) ).

thf(f383,plain,
    ( ( $false
      = ( sK3 @ sK14 ) )
    | ~ spl10_29 ),
    inference(trivial_inequality_removal,[],[f378]) ).

thf(f378,plain,
    ( ( $false
      = ( sK3 @ sK14 ) )
    | ( $false = $true )
    | ~ spl10_29 ),
    inference(superposition,[],[f249,f336]) ).

thf(f336,plain,
    ( ( $false
      = ( sK4 @ sK14 ) )
    | ~ spl10_29 ),
    inference(avatar_component_clause,[],[f335]) ).

thf(f249,plain,
    ! [X0: 'type/realax/real'] :
      ( ( $true
        = ( sK4 @ X0 ) )
      | ( $false
        = ( sK3 @ X0 ) ) ),
    inference(trivial_inequality_removal,[],[f245]) ).

thf(f245,plain,
    ! [X0: 'type/realax/real'] :
      ( ( $false
        = ( sK3 @ X0 ) )
      | ( $true != $true )
      | ( $true
        = ( sK4 @ X0 ) ) ),
    inference(superposition,[],[f181,f79]) ).

thf(f181,plain,
    ! [X0: 'type/realax/real'] :
      ( ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK3 )
       != $true )
      | ( $true
        = ( sK4 @ X0 ) ) ),
    inference(trivial_inequality_removal,[],[f178]) ).

thf(f178,plain,
    ! [X0: 'type/realax/real'] :
      ( ( $false = $true )
      | ( $true
        = ( sK4 @ X0 ) )
      | ( ( 'const/sets/IN' @ 'type/realax/real' @ X0 @ sK3 )
       != $true ) ),
    inference(superposition,[],[f78,f174]) ).

thf(f78,plain,
    ! [X0: $tType,X2: X0,X1: X0 > $o] :
      ( ( $false
        = ( 'const/sets/IN' @ X0 @ X2 @ X1 ) )
      | ( $true
        = ( X1 @ X2 ) ) ),
    inference(binary_proxy_clausification,[],[f74]) ).

thf(f337,plain,
    ( spl10_28
    | spl10_29
    | ~ spl10_10 ),
    inference(avatar_split_clause,[],[f323,f130,f335,f332]) ).

thf(f323,plain,
    ( ( $false
      = ( sK4 @ sK14 ) )
    | ( $false
      = ( sK3 @ sK14 ) )
    | ~ spl10_10 ),
    inference(binary_proxy_clausification,[],[f321]) ).

thf(f321,plain,
    ( ( ( sK3 @ sK14 )
     != ( sK4 @ sK14 ) )
    | ~ spl10_10 ),
    inference(negative_extensionality,[],[f317]) ).

thf(f317,plain,
    ( ( sK3 != sK4 )
    | ~ spl10_10 ),
    inference(superposition,[],[f61,f131]) ).

thf(f330,plain,
    ( spl10_26
    | spl10_27
    | ~ spl10_10 ),
    inference(avatar_split_clause,[],[f322,f130,f328,f325]) ).

thf(f322,plain,
    ( ( ( sK3 @ sK14 )
      = $true )
    | ( $true
      = ( sK4 @ sK14 ) )
    | ~ spl10_10 ),
    inference(binary_proxy_clausification,[],[f321]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ANA075^1 : TPTP v8.2.0. Released v7.0.0.
% 0.11/0.14  % 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
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 07:55:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH1_THM_EQU_NAR problem
% 0.14/0.35  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
% 0.14/0.37  % (25693)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)
% 0.14/0.37  % (25692)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37  % (25694)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)
% 0.14/0.37  % (25695)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37  % (25697)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)
% 0.14/0.37  % (25698)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37  % (25695)Instruction limit reached!
% 0.14/0.37  % (25695)------------------------------
% 0.14/0.37  % (25695)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (25695)Termination reason: Unknown
% 0.14/0.37  % (25695)Termination phase: Unused predicate definition removal
% 0.14/0.37  
% 0.14/0.37  % (25695)Memory used [KB]: 895
% 0.14/0.37  % (25695)Time elapsed: 0.003 s
% 0.14/0.37  % (25695)Instructions burned: 2 (million)
% 0.14/0.37  % (25695)------------------------------
% 0.14/0.37  % (25695)------------------------------
% 0.14/0.37  % (25693)Instruction limit reached!
% 0.14/0.37  % (25693)------------------------------
% 0.14/0.37  % (25693)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (25693)Termination reason: Unknown
% 0.14/0.37  % (25693)Termination phase: Property scanning
% 0.14/0.37  
% 0.14/0.37  % (25693)Memory used [KB]: 1023
% 0.14/0.37  % (25693)Time elapsed: 0.004 s
% 0.14/0.37  % (25693)Instructions burned: 4 (million)
% 0.14/0.37  % (25693)------------------------------
% 0.14/0.37  % (25693)------------------------------
% 0.14/0.37  % (25696)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)
% 0.14/0.37  % (25696)Instruction limit reached!
% 0.14/0.37  % (25696)------------------------------
% 0.14/0.37  % (25696)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (25696)Termination reason: Unknown
% 0.14/0.37  % (25696)Termination phase: shuffling
% 0.14/0.37  
% 0.14/0.37  % (25696)Memory used [KB]: 895
% 0.14/0.37  % (25696)Time elapsed: 0.003 s
% 0.14/0.37  % (25696)Instructions burned: 2 (million)
% 0.14/0.37  % (25696)------------------------------
% 0.14/0.37  % (25696)------------------------------
% 0.14/0.38  % (25699)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)
% 0.14/0.38  % (25698)Instruction limit reached!
% 0.14/0.38  % (25698)------------------------------
% 0.14/0.38  % (25698)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (25698)Termination reason: Unknown
% 0.14/0.38  % (25698)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (25698)Memory used [KB]: 5628
% 0.14/0.38  % (25698)Time elapsed: 0.014 s
% 0.14/0.38  % (25698)Instructions burned: 18 (million)
% 0.14/0.38  % (25698)------------------------------
% 0.14/0.38  % (25698)------------------------------
% 0.14/0.38  % (25699)Instruction limit reached!
% 0.14/0.38  % (25699)------------------------------
% 0.14/0.38  % (25699)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (25699)Termination reason: Unknown
% 0.14/0.38  % (25699)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (25699)Memory used [KB]: 5500
% 0.14/0.38  % (25699)Time elapsed: 0.004 s
% 0.14/0.38  % (25699)Instructions burned: 4 (million)
% 0.14/0.38  % (25699)------------------------------
% 0.14/0.38  % (25699)------------------------------
% 0.14/0.38  % (25700)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)
% 0.14/0.39  % (25701)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)
% 0.14/0.39  % (25694)Instruction limit reached!
% 0.14/0.39  % (25694)------------------------------
% 0.14/0.39  % (25694)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (25694)Termination reason: Unknown
% 0.14/0.39  % (25694)Termination phase: Saturation
% 0.14/0.39  
% 0.14/0.39  % (25694)Memory used [KB]: 5628
% 0.14/0.39  % (25694)Time elapsed: 0.021 s
% 0.14/0.39  % (25694)Instructions burned: 27 (million)
% 0.14/0.39  % (25694)------------------------------
% 0.14/0.39  % (25694)------------------------------
% 0.14/0.40  % (25701)Instruction limit reached!
% 0.14/0.40  % (25701)------------------------------
% 0.14/0.40  % (25701)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (25701)Termination reason: Unknown
% 0.14/0.40  % (25701)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (25701)Memory used [KB]: 5628
% 0.14/0.40  % (25704)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.40  % (25701)Time elapsed: 0.035 s
% 0.14/0.40  % (25701)Instructions burned: 15 (million)
% 0.14/0.40  % (25701)------------------------------
% 0.14/0.40  % (25701)------------------------------
% 0.14/0.40  % (25703)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)
% 0.14/0.40  % (25702)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)
% 0.14/0.40  % (25704)Instruction limit reached!
% 0.14/0.40  % (25704)------------------------------
% 0.14/0.40  % (25704)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (25704)Termination reason: Unknown
% 0.14/0.40  % (25704)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (25704)Memory used [KB]: 1023
% 0.14/0.40  % (25704)Time elapsed: 0.006 s
% 0.14/0.40  % (25704)Instructions burned: 7 (million)
% 0.14/0.40  % (25704)------------------------------
% 0.14/0.40  % (25704)------------------------------
% 0.14/0.40  % (25705)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.40  % (25702)Instruction limit reached!
% 0.14/0.40  % (25702)------------------------------
% 0.14/0.40  % (25702)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (25702)Termination reason: Unknown
% 0.14/0.40  % (25702)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (25702)Memory used [KB]: 5500
% 0.14/0.40  % (25702)Time elapsed: 0.004 s
% 0.14/0.40  % (25702)Instructions burned: 4 (million)
% 0.14/0.40  % (25702)------------------------------
% 0.14/0.40  % (25702)------------------------------
% 0.14/0.40  % (25700)Instruction limit reached!
% 0.14/0.40  % (25700)------------------------------
% 0.14/0.40  % (25700)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (25700)Termination reason: Unknown
% 0.14/0.40  % (25700)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (25700)Memory used [KB]: 5756
% 0.14/0.40  % (25700)Time elapsed: 0.042 s
% 0.14/0.40  % (25700)Instructions burned: 38 (million)
% 0.14/0.40  % (25700)------------------------------
% 0.14/0.40  % (25700)------------------------------
% 0.20/0.41  % (25706)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.41  % (25705)Instruction limit reached!
% 0.20/0.41  % (25705)------------------------------
% 0.20/0.41  % (25705)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41  % (25705)Termination reason: Unknown
% 0.20/0.41  % (25705)Termination phase: Saturation
% 0.20/0.41  
% 0.20/0.41  % (25705)Memory used [KB]: 5628
% 0.20/0.41  % (25705)Time elapsed: 0.012 s
% 0.20/0.41  % (25705)Instructions burned: 17 (million)
% 0.20/0.41  % (25705)------------------------------
% 0.20/0.41  % (25705)------------------------------
% 0.20/0.41  % (25706)Instruction limit reached!
% 0.20/0.41  % (25706)------------------------------
% 0.20/0.41  % (25706)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41  % (25706)Termination reason: Unknown
% 0.20/0.41  % (25706)Termination phase: Twee Goal Transformation
% 0.20/0.41  
% 0.20/0.41  % (25706)Memory used [KB]: 1023
% 0.20/0.41  % (25706)Time elapsed: 0.004 s
% 0.20/0.41  % (25706)Instructions burned: 4 (million)
% 0.20/0.41  % (25706)------------------------------
% 0.20/0.41  % (25706)------------------------------
% 0.20/0.42  % (25709)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.42  % (25707)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.42  % (25708)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.42  % (25709)Instruction limit reached!
% 0.20/0.42  % (25709)------------------------------
% 0.20/0.42  % (25709)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (25709)Termination reason: Unknown
% 0.20/0.42  % (25709)Termination phase: Preprocessing 1
% 0.20/0.42  
% 0.20/0.42  % (25709)Memory used [KB]: 1023
% 0.20/0.42  % (25709)Time elapsed: 0.003 s
% 0.20/0.42  % (25709)Instructions burned: 3 (million)
% 0.20/0.42  % (25709)------------------------------
% 0.20/0.42  % (25709)------------------------------
% 0.20/0.42  % (25707)Instruction limit reached!
% 0.20/0.42  % (25707)------------------------------
% 0.20/0.42  % (25707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (25707)Termination reason: Unknown
% 0.20/0.42  % (25707)Termination phase: Property scanning
% 0.20/0.42  
% 0.20/0.42  % (25707)Memory used [KB]: 1023
% 0.20/0.42  % (25707)Time elapsed: 0.004 s
% 0.20/0.42  % (25707)Instructions burned: 4 (million)
% 0.20/0.42  % (25707)------------------------------
% 0.20/0.42  % (25707)------------------------------
% 0.20/0.42  % (25708)Instruction limit reached!
% 0.20/0.42  % (25708)------------------------------
% 0.20/0.42  % (25708)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (25708)Termination reason: Unknown
% 0.20/0.42  % (25708)Termination phase: Saturation
% 0.20/0.42  
% 0.20/0.42  % (25708)Memory used [KB]: 5500
% 0.20/0.42  % (25708)Time elapsed: 0.006 s
% 0.20/0.42  % (25708)Instructions burned: 7 (million)
% 0.20/0.42  % (25708)------------------------------
% 0.20/0.42  % (25708)------------------------------
% 0.20/0.43  % (25710)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.43  % (25711)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.43  % (25710)Instruction limit reached!
% 0.20/0.43  % (25710)------------------------------
% 0.20/0.43  % (25710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43  % (25710)Termination reason: Unknown
% 0.20/0.43  % (25710)Termination phase: Saturation
% 0.20/0.43  
% 0.20/0.43  % (25710)Memory used [KB]: 5500
% 0.20/0.43  % (25710)Time elapsed: 0.004 s
% 0.20/0.43  % (25710)Instructions burned: 4 (million)
% 0.20/0.43  % (25710)------------------------------
% 0.20/0.43  % (25710)------------------------------
% 0.20/0.43  % (25712)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.44  % (25714)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.20/0.44  % (25713)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.44  % (25713)Instruction limit reached!
% 0.20/0.44  % (25713)------------------------------
% 0.20/0.44  % (25713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (25713)Termination reason: Unknown
% 0.20/0.44  % (25713)Termination phase: Saturation
% 0.20/0.44  
% 0.20/0.44  % (25713)Memory used [KB]: 5500
% 0.20/0.44  % (25713)Time elapsed: 0.006 s
% 0.20/0.44  % (25713)Instructions burned: 6 (million)
% 0.20/0.44  % (25713)------------------------------
% 0.20/0.44  % (25713)------------------------------
% 0.20/0.44  % (25711)Instruction limit reached!
% 0.20/0.44  % (25711)------------------------------
% 0.20/0.44  % (25711)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (25711)Termination reason: Unknown
% 0.20/0.44  % (25711)Termination phase: Saturation
% 0.20/0.44  
% 0.20/0.44  % (25711)Memory used [KB]: 5628
% 0.20/0.44  % (25711)Time elapsed: 0.014 s
% 0.20/0.44  % (25711)Instructions burned: 19 (million)
% 0.20/0.44  % (25711)------------------------------
% 0.20/0.44  % (25711)------------------------------
% 0.20/0.44  % (25715)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.46  % (25717)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.46  % (25717)Instruction limit reached!
% 0.20/0.46  % (25717)------------------------------
% 0.20/0.46  % (25717)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46  % (25717)Termination reason: Unknown
% 0.20/0.46  % (25717)Termination phase: Saturation
% 0.20/0.46  
% 0.20/0.46  % (25717)Memory used [KB]: 5500
% 0.20/0.46  % (25717)Time elapsed: 0.005 s
% 0.20/0.46  % (25717)Instructions burned: 7 (million)
% 0.20/0.46  % (25717)------------------------------
% 0.20/0.46  % (25717)------------------------------
% 0.20/0.46  % (25715)Instruction limit reached!
% 0.20/0.46  % (25715)------------------------------
% 0.20/0.46  % (25715)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46  % (25715)Termination reason: Unknown
% 0.20/0.46  % (25715)Termination phase: Saturation
% 0.20/0.46  
% 0.20/0.46  % (25715)Memory used [KB]: 5628
% 0.20/0.46  % (25715)Time elapsed: 0.017 s
% 0.20/0.46  % (25715)Instructions burned: 22 (million)
% 0.20/0.46  % (25715)------------------------------
% 0.20/0.46  % (25715)------------------------------
% 0.20/0.47  % (25718)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.20/0.47  % (25716)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.47  % (25719)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.20/0.47  % (25716)Instruction limit reached!
% 0.20/0.47  % (25716)------------------------------
% 0.20/0.47  % (25716)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47  % (25716)Termination reason: Unknown
% 0.20/0.47  % (25716)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (25716)Memory used [KB]: 5500
% 0.20/0.47  % (25716)Time elapsed: 0.005 s
% 0.20/0.47  % (25716)Instructions burned: 5 (million)
% 0.20/0.47  % (25716)------------------------------
% 0.20/0.47  % (25716)------------------------------
% 0.20/0.48  % (25692)Instruction limit reached!
% 0.20/0.48  % (25692)------------------------------
% 0.20/0.48  % (25692)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48  % (25692)Termination reason: Unknown
% 0.20/0.48  % (25692)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (25692)Memory used [KB]: 7164
% 0.20/0.48  % (25692)Time elapsed: 0.109 s
% 0.20/0.48  % (25692)Instructions burned: 183 (million)
% 0.20/0.48  % (25692)------------------------------
% 0.20/0.48  % (25692)------------------------------
% 0.20/0.49  % (25721)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.20/0.49  % (25720)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.20/0.50  % (25720)Instruction limit reached!
% 0.20/0.50  % (25720)------------------------------
% 0.20/0.50  % (25720)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50  % (25720)Termination reason: Unknown
% 0.20/0.50  % (25720)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (25720)Memory used [KB]: 5628
% 0.20/0.50  % (25720)Time elapsed: 0.009 s
% 0.20/0.50  % (25720)Instructions burned: 19 (million)
% 0.20/0.50  % (25720)------------------------------
% 0.20/0.50  % (25720)------------------------------
% 0.20/0.50  % (25722)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.51  % (25722)Instruction limit reached!
% 0.20/0.51  % (25722)------------------------------
% 0.20/0.51  % (25722)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51  % (25722)Termination reason: Unknown
% 0.20/0.51  % (25722)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (25722)Memory used [KB]: 5628
% 0.20/0.51  % (25722)Time elapsed: 0.009 s
% 0.20/0.51  % (25722)Instructions burned: 18 (million)
% 0.20/0.51  % (25722)------------------------------
% 0.20/0.51  % (25722)------------------------------
% 0.20/0.52  % (25723)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.52  % (25723)Instruction limit reached!
% 0.20/0.52  % (25723)------------------------------
% 0.20/0.52  % (25723)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52  % (25723)Termination reason: Unknown
% 0.20/0.52  % (25723)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (25723)Memory used [KB]: 1023
% 0.20/0.52  % (25723)Time elapsed: 0.002 s
% 0.20/0.52  % (25723)Instructions burned: 3 (million)
% 0.20/0.52  % (25723)------------------------------
% 0.20/0.52  % (25723)------------------------------
% 0.20/0.53  % (25724)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.54  % (25724)Instruction limit reached!
% 0.20/0.54  % (25724)------------------------------
% 0.20/0.54  % (25724)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54  % (25724)Termination reason: Unknown
% 0.20/0.54  % (25724)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (25697)Refutation not found, non-redundant clauses discarded% (25697)------------------------------
% 0.20/0.54  % (25697)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54  % (25697)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.20/0.54  
% 0.20/0.54  % (25697)Memory used [KB]: 7547
% 0.20/0.54  % (25697)Time elapsed: 0.174 s
% 0.20/0.54  % (25697)Instructions burned: 252 (million)
% 0.20/0.54  % (25697)------------------------------
% 0.20/0.54  % (25697)------------------------------
% 0.20/0.54  % (25724)Memory used [KB]: 5628
% 0.20/0.54  % (25724)Time elapsed: 0.013 s
% 0.20/0.54  % (25724)Instructions burned: 31 (million)
% 0.20/0.54  % (25724)------------------------------
% 0.20/0.54  % (25724)------------------------------
% 0.20/0.55  % (25725)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.20/0.55  % (25726)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.77/0.59  % (25726)Instruction limit reached!
% 1.77/0.59  % (25726)------------------------------
% 1.77/0.59  % (25726)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.77/0.59  % (25726)Termination reason: Unknown
% 1.77/0.59  % (25726)Termination phase: Saturation
% 1.77/0.59  
% 1.77/0.59  % (25726)Memory used [KB]: 5884
% 1.77/0.59  % (25726)Time elapsed: 0.039 s
% 1.77/0.59  % (25726)Instructions burned: 102 (million)
% 1.77/0.59  % (25726)------------------------------
% 1.77/0.59  % (25726)------------------------------
% 2.00/0.60  % (25725)Instruction limit reached!
% 2.00/0.60  % (25725)------------------------------
% 2.00/0.60  % (25725)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.00/0.60  % (25725)Termination reason: Unknown
% 2.00/0.60  % (25725)Termination phase: Saturation
% 2.00/0.60  
% 2.00/0.60  % (25725)Memory used [KB]: 5756
% 2.00/0.60  % (25725)Time elapsed: 0.047 s
% 2.00/0.60  % (25725)Instructions burned: 127 (million)
% 2.00/0.60  % (25725)------------------------------
% 2.00/0.60  % (25725)------------------------------
% 2.00/0.60  % (25727)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 2.00/0.60  % (25727)Instruction limit reached!
% 2.00/0.60  % (25727)------------------------------
% 2.00/0.60  % (25727)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.00/0.60  % (25727)Termination reason: Unknown
% 2.00/0.60  % (25727)Termination phase: Property scanning
% 2.00/0.60  
% 2.00/0.60  % (25727)Memory used [KB]: 1023
% 2.00/0.60  % (25727)Time elapsed: 0.002 s
% 2.00/0.60  % (25727)Instructions burned: 4 (million)
% 2.00/0.60  % (25727)------------------------------
% 2.00/0.60  % (25727)------------------------------
% 2.00/0.60  % (25728)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 2.00/0.61  % (25729)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.00/0.61  % (25728)Instruction limit reached!
% 2.00/0.61  % (25728)------------------------------
% 2.00/0.61  % (25728)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.00/0.61  % (25718)Instruction limit reached!
% 2.00/0.61  % (25718)------------------------------
% 2.00/0.61  % (25718)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.00/0.61  % (25718)Termination reason: Unknown
% 2.00/0.61  % (25718)Termination phase: Saturation
% 2.00/0.61  
% 2.00/0.61  % (25718)Memory used [KB]: 6396
% 2.00/0.61  % (25718)Time elapsed: 0.145 s
% 2.00/0.61  % (25718)Instructions burned: 377 (million)
% 2.00/0.61  % (25718)------------------------------
% 2.00/0.61  % (25718)------------------------------
% 2.00/0.61  % (25728)Termination reason: Unknown
% 2.00/0.61  % (25728)Termination phase: Saturation
% 2.00/0.61  
% 2.00/0.61  % (25728)Memory used [KB]: 5628
% 2.00/0.61  % (25728)Time elapsed: 0.009 s
% 2.00/0.61  % (25728)Instructions burned: 21 (million)
% 2.00/0.61  % (25728)------------------------------
% 2.00/0.61  % (25728)------------------------------
% 2.00/0.62  % (25730)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.00/0.62  % (25731)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.20/0.64  % (25731)Instruction limit reached!
% 2.20/0.64  % (25731)------------------------------
% 2.20/0.64  % (25731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.64  % (25731)Termination reason: Unknown
% 2.20/0.64  % (25731)Termination phase: Saturation
% 2.20/0.64  
% 2.20/0.64  % (25731)Memory used [KB]: 5884
% 2.20/0.64  % (25731)Time elapsed: 0.016 s
% 2.20/0.64  % (25731)Instructions burned: 41 (million)
% 2.20/0.64  % (25731)------------------------------
% 2.20/0.64  % (25731)------------------------------
% 2.20/0.64  % (25729)Instruction limit reached!
% 2.20/0.64  % (25729)------------------------------
% 2.20/0.64  % (25729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.64  % (25729)Termination reason: Unknown
% 2.20/0.64  % (25729)Termination phase: Saturation
% 2.20/0.64  
% 2.20/0.64  % (25729)Memory used [KB]: 5756
% 2.20/0.64  % (25729)Time elapsed: 0.029 s
% 2.20/0.64  % (25729)Instructions burned: 86 (million)
% 2.20/0.64  % (25729)------------------------------
% 2.20/0.64  % (25729)------------------------------
% 2.20/0.64  % (25732)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 2.20/0.64  % (25733)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 2.20/0.66  % (25730)Instruction limit reached!
% 2.20/0.66  % (25730)------------------------------
% 2.20/0.66  % (25730)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.66  % (25730)Termination reason: Unknown
% 2.20/0.66  % (25730)Termination phase: Saturation
% 2.20/0.66  
% 2.20/0.66  % (25730)Memory used [KB]: 5884
% 2.20/0.66  % (25730)Time elapsed: 0.041 s
% 2.20/0.66  % (25730)Instructions burned: 108 (million)
% 2.20/0.66  % (25730)------------------------------
% 2.20/0.66  % (25730)------------------------------
% 2.20/0.66  % (25733)Instruction limit reached!
% 2.20/0.66  % (25733)------------------------------
% 2.20/0.66  % (25733)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.66  % (25733)Termination reason: Unknown
% 2.20/0.66  % (25733)Termination phase: Saturation
% 2.20/0.66  
% 2.20/0.66  % (25733)Memory used [KB]: 5756
% 2.20/0.66  % (25733)Time elapsed: 0.019 s
% 2.20/0.66  % (25733)Instructions burned: 48 (million)
% 2.20/0.66  % (25733)------------------------------
% 2.20/0.66  % (25733)------------------------------
% 2.20/0.67  % (25734)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 2.20/0.67  % (25735)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2997ds/507Mi)
% 2.20/0.68  % (25735)Refutation not found, incomplete strategy
% 2.20/0.68  % (25735)------------------------------
% 2.20/0.68  % (25735)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.68  % (25735)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.68  
% 2.20/0.68  
% 2.20/0.68  % (25735)Memory used [KB]: 5628
% 2.20/0.68  % (25735)Time elapsed: 0.010 s
% 2.20/0.68  % (25735)Instructions burned: 23 (million)
% 2.20/0.68  % (25735)------------------------------
% 2.20/0.68  % (25735)------------------------------
% 2.20/0.69  % (25736)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2996ds/149Mi)
% 2.71/0.70  % (25734)Instruction limit reached!
% 2.71/0.70  % (25734)------------------------------
% 2.71/0.70  % (25734)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.71/0.70  % (25734)Termination reason: Unknown
% 2.71/0.70  % (25734)Termination phase: Saturation
% 2.71/0.70  
% 2.71/0.70  % (25734)Memory used [KB]: 1535
% 2.71/0.70  % (25734)Time elapsed: 0.034 s
% 2.71/0.70  % (25734)Instructions burned: 100 (million)
% 2.71/0.70  % (25734)------------------------------
% 2.71/0.70  % (25734)------------------------------
% 2.71/0.71  % (25737)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.71/0.71  % (25712)Refutation not found, non-redundant clauses discarded% (25712)------------------------------
% 2.71/0.71  % (25712)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.71/0.71  % (25712)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.71/0.71  
% 2.71/0.71  % (25712)Memory used [KB]: 6524
% 2.71/0.71  % (25712)Time elapsed: 0.282 s
% 2.71/0.71  % (25712)Instructions burned: 657 (million)
% 2.71/0.71  % (25712)------------------------------
% 2.71/0.71  % (25712)------------------------------
% 2.71/0.73  % (25738)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 2.71/0.73  % (25737)Instruction limit reached!
% 2.71/0.73  % (25737)------------------------------
% 2.71/0.73  % (25737)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.71/0.73  % (25737)Termination reason: Unknown
% 2.71/0.73  % (25737)Termination phase: Saturation
% 2.71/0.73  
% 2.71/0.73  % (25737)Memory used [KB]: 5628
% 2.71/0.73  % (25737)Time elapsed: 0.016 s
% 2.71/0.73  % (25737)Instructions burned: 39 (million)
% 2.71/0.73  % (25737)------------------------------
% 2.71/0.73  % (25737)------------------------------
% 2.71/0.73  % (25738)Instruction limit reached!
% 2.71/0.73  % (25738)------------------------------
% 2.71/0.73  % (25738)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.71/0.73  % (25738)Termination reason: Unknown
% 2.71/0.73  % (25738)Termination phase: Saturation
% 2.71/0.73  
% 2.71/0.73  % (25738)Memory used [KB]: 9978
% 2.71/0.73  % (25738)Time elapsed: 0.005 s
% 2.71/0.73  % (25738)Instructions burned: 6 (million)
% 2.71/0.73  % (25738)------------------------------
% 2.71/0.73  % (25738)------------------------------
% 2.71/0.73  % (25739)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2996ds/1087Mi)
% 2.71/0.74  % (25719)Instruction limit reached!
% 2.71/0.74  % (25719)------------------------------
% 2.71/0.74  % (25719)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.71/0.74  % (25719)Termination reason: Unknown
% 2.71/0.74  % (25719)Termination phase: Saturation
% 2.71/0.74  
% 2.71/0.74  % (25719)Memory used [KB]: 6780
% 2.71/0.74  % (25719)Time elapsed: 0.267 s
% 2.71/0.74  % (25719)Instructions burned: 779 (million)
% 2.71/0.74  % (25719)------------------------------
% 2.71/0.74  % (25719)------------------------------
% 2.71/0.74  % (25740)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.71/0.75  % (25736)Instruction limit reached!
% 2.71/0.75  % (25736)------------------------------
% 2.71/0.75  % (25736)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.71/0.75  % (25736)Termination reason: Unknown
% 2.71/0.75  % (25736)Termination phase: Saturation
% 2.71/0.75  
% 2.71/0.75  % (25736)Memory used [KB]: 6012
% 2.71/0.75  % (25736)Time elapsed: 0.057 s
% 2.71/0.75  % (25736)Instructions burned: 150 (million)
% 2.71/0.75  % (25736)------------------------------
% 2.71/0.75  % (25736)------------------------------
% 2.71/0.75  % (25741)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2996ds/44Mi)
% 2.71/0.75  % (25703)Instruction limit reached!
% 2.71/0.75  % (25703)------------------------------
% 2.71/0.75  % (25703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.71/0.75  % (25703)Termination reason: Unknown
% 2.71/0.75  % (25703)Termination phase: Saturation
% 2.71/0.75  
% 2.71/0.75  % (25703)Memory used [KB]: 7291
% 2.71/0.75  % (25703)Time elapsed: 0.376 s
% 2.71/0.75  % (25703)Instructions burned: 1041 (million)
% 2.71/0.75  % (25703)------------------------------
% 2.71/0.75  % (25703)------------------------------
% 2.71/0.75  % (25742)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2996ds/432Mi)
% 2.71/0.76  % (25743)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.71/0.76  % (25714)Instruction limit reached!
% 2.71/0.76  % (25714)------------------------------
% 2.71/0.76  % (25714)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.71/0.76  % (25714)Termination reason: Unknown
% 2.71/0.76  % (25714)Termination phase: Saturation
% 2.71/0.76  
% 2.71/0.76  % (25714)Memory used [KB]: 6780
% 2.71/0.76  % (25714)Time elapsed: 0.326 s
% 2.71/0.76  % (25714)Instructions burned: 904 (million)
% 2.71/0.76  % (25714)------------------------------
% 2.71/0.76  % (25714)------------------------------
% 3.10/0.76  % (25741)Instruction limit reached!
% 3.10/0.76  % (25741)------------------------------
% 3.10/0.76  % (25741)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.10/0.76  % (25741)Termination reason: Unknown
% 3.10/0.76  % (25741)Termination phase: Saturation
% 3.10/0.76  
% 3.10/0.76  % (25741)Memory used [KB]: 1279
% 3.10/0.76  % (25741)Time elapsed: 0.017 s
% 3.10/0.76  % (25741)Instructions burned: 45 (million)
% 3.10/0.76  % (25741)------------------------------
% 3.10/0.76  % (25741)------------------------------
% 3.10/0.77  % (25740)Instruction limit reached!
% 3.10/0.77  % (25740)------------------------------
% 3.10/0.77  % (25740)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.10/0.77  % (25740)Termination reason: Unknown
% 3.10/0.77  % (25740)Termination phase: Saturation
% 3.10/0.77  
% 3.10/0.77  % (25740)Memory used [KB]: 5756
% 3.10/0.77  % (25740)Time elapsed: 0.027 s
% 3.10/0.77  % (25740)Instructions burned: 48 (million)
% 3.10/0.77  % (25740)------------------------------
% 3.10/0.77  % (25740)------------------------------
% 3.10/0.77  % (25744)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2996ds/31Mi)
% 3.10/0.77  % (25745)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 3.10/0.78  % (25739)First to succeed.
% 3.10/0.78  % (25743)Instruction limit reached!
% 3.10/0.78  % (25743)------------------------------
% 3.10/0.78  % (25743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.10/0.78  % (25743)Termination reason: Unknown
% 3.10/0.78  % (25743)Termination phase: Saturation
% 3.10/0.78  
% 3.10/0.78  % (25743)Memory used [KB]: 5884
% 3.10/0.78  % (25743)Time elapsed: 0.044 s
% 3.10/0.78  % (25743)Instructions burned: 64 (million)
% 3.10/0.78  % (25743)------------------------------
% 3.10/0.78  % (25743)------------------------------
% 3.10/0.78  % (25744)Instruction limit reached!
% 3.10/0.78  % (25744)------------------------------
% 3.10/0.78  % (25744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.10/0.78  % (25744)Termination reason: Unknown
% 3.10/0.78  % (25744)Termination phase: Saturation
% 3.10/0.78  
% 3.10/0.78  % (25744)Memory used [KB]: 5756
% 3.10/0.78  % (25744)Time elapsed: 0.034 s
% 3.10/0.78  % (25744)Instructions burned: 32 (million)
% 3.10/0.78  % (25744)------------------------------
% 3.10/0.78  % (25744)------------------------------
% 3.10/0.78  % (25746)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2995ds/453Mi)
% 3.10/0.78  % (25739)Refutation found. Thanks to Tanya!
% 3.10/0.78  % SZS status Theorem for theBenchmark
% 3.10/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 3.10/0.78  % (25739)------------------------------
% 3.10/0.78  % (25739)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.10/0.78  % (25739)Termination reason: Refutation
% 3.10/0.78  
% 3.10/0.78  % (25739)Memory used [KB]: 6012
% 3.10/0.78  % (25739)Time elapsed: 0.047 s
% 3.10/0.78  % (25739)Instructions burned: 118 (million)
% 3.10/0.78  % (25739)------------------------------
% 3.10/0.78  % (25739)------------------------------
% 3.10/0.78  % (25691)Success in time 0.432 s
% 3.10/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------