TSTP Solution File: SEV311^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV311^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : n020.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 : Tue May 21 04:12:45 EDT 2024

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   68 (   5 unt;   9 typ;   0 def)
%            Number of atoms       :  528 ( 148 equ;   0 cnn)
%            Maximal formula atoms :    8 (   8 avg)
%            Number of connectives :  935 (  73   ~;  74   |;  16   &; 601   @)
%                                         (   1 <=>; 109  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  140 ( 140   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   8 usr;   5 con; 0-2 aty)
%                                         (  61  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  228 ( 116   ^ 103   !;   8   ?; 228   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    a: $tType ).

thf(func_def_0,type,
    a: $tType ).

thf(func_def_1,type,
    cF: ( a > $o ) > a > $o ).

thf(func_def_10,type,
    sK0: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_11,type,
    sK1: a ).

thf(func_def_12,type,
    sK2: a > $o ).

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

thf(func_def_16,type,
    sK5: ( a > $o ) > a ).

thf(func_def_18,type,
    sK6: a > $o ).

thf(f500,plain,
    $false,
    inference(avatar_sat_refutation,[],[f221,f499]) ).

thf(f499,plain,
    spl3_11,
    inference(avatar_contradiction_clause,[],[f498]) ).

thf(f498,plain,
    ( $false
    | spl3_11 ),
    inference(trivial_inequality_removal,[],[f497]) ).

thf(f497,plain,
    ( ( $false = $true )
    | spl3_11 ),
    inference(forward_demodulation,[],[f496,f276]) ).

thf(f276,plain,
    ( ( $false
      = ( sK2 @ ( sK5 @ sK2 ) ) )
    | spl3_11 ),
    inference(trivial_inequality_removal,[],[f268]) ).

thf(f268,plain,
    ( ( $true != $true )
    | ( $false
      = ( sK2 @ ( sK5 @ sK2 ) ) )
    | spl3_11 ),
    inference(superposition,[],[f206,f241]) ).

thf(f241,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( cF @ X0 @ sK1 ) )
      | ( $false
        = ( X0 @ ( sK5 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f240]) ).

thf(f240,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( cF @ X0 @ sK1 ) )
      | ( $false
        = ( X0 @ ( sK5 @ X0 ) ) )
      | ( $false = $true ) ),
    inference(duplicate_literal_removal,[],[f229]) ).

thf(f229,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( cF @ X0 @ sK1 ) )
      | ( $false
        = ( X0 @ ( sK5 @ X0 ) ) )
      | ( $true
        = ( cF @ X0 @ sK1 ) )
      | ( $false = $true ) ),
    inference(superposition,[],[f35,f140]) ).

thf(f140,plain,
    ! [X3: a > $o] :
      ( ( $false
        = ( X3
          @ ( sK0 @ X3
            @ ^ [Y0: a] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( cF @ Y1 @ Y2 )
                         => ( Y1 @ Y2 ) ) )
                   => ( Y1 @ Y0 ) ) ) ) ) )
      | ( ( cF @ X3 @ sK1 )
        = $true ) ),
    inference(not_proxy_clausification,[],[f139]) ).

thf(f139,plain,
    ! [X3: a > $o] :
      ( ( ( cF @ X3 @ sK1 )
        = $true )
      | ( $true
        = ( ~ ( X3
              @ ( sK0 @ X3
                @ ^ [Y0: a] :
                    ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( ( !! @ a
                          @ ^ [Y2: a] :
                              ( ( cF @ Y1 @ Y2 )
                             => ( Y1 @ Y2 ) ) )
                       => ( Y1 @ Y0 ) ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f138]) ).

thf(f138,plain,
    ! [X3: a > $o] :
      ( ( ( cF @ X3 @ sK1 )
        = $true )
      | ( $true
        = ( ~ ( X3
              @ ( sK0
                @ ^ [Y0: a] : ( X3 @ Y0 )
                @ ^ [Y0: a] :
                    ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( ( !! @ a
                          @ ^ [Y2: a] :
                              ( ( cF @ Y1 @ Y2 )
                             => ( Y1 @ Y2 ) ) )
                       => ( Y1 @ Y0 ) ) ) ) ) ) ) ),
    inference(boolean_simplification,[],[f137]) ).

thf(f137,plain,
    ! [X3: a > $o] :
      ( ( ( ~ ( X3
              @ ( sK0
                @ ^ [Y0: a] :
                    ~ ~ ( X3 @ Y0 )
                @ ^ [Y0: a] :
                    ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( ( !! @ a
                          @ ^ [Y2: a] :
                              ( ( cF @ Y1 @ Y2 )
                             => ( Y1 @ Y2 ) ) )
                       => ( Y1 @ Y0 ) ) ) ) ) )
        = $true )
      | ( ( cF @ X3 @ sK1 )
        = $true ) ),
    inference(beta_eta_normalization,[],[f136]) ).

thf(f136,plain,
    ! [X3: a > $o] :
      ( ( ( cF
          @ ^ [Y0: a] : ( X3 @ Y0 )
          @ sK1 )
        = $true )
      | ( ( ~ ( X3
              @ ( sK0
                @ ^ [Y0: a] :
                    ~ ~ ( X3 @ Y0 )
                @ ^ [Y0: a] :
                    ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( ( !! @ a
                          @ ^ [Y2: a] :
                              ( ( cF @ Y1 @ Y2 )
                             => ( Y1 @ Y2 ) ) )
                       => ( Y1 @ Y0 ) ) ) ) ) )
        = $true ) ),
    inference(boolean_simplification,[],[f135]) ).

thf(f135,plain,
    ! [X3: a > $o] :
      ( ( ( cF
          @ ^ [Y0: a] :
              ~ ~ ( X3 @ Y0 )
          @ sK1 )
        = $true )
      | ( ( ~ ( X3
              @ ( sK0
                @ ^ [Y0: a] :
                    ~ ~ ( X3 @ Y0 )
                @ ^ [Y0: a] :
                    ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( ( !! @ a
                          @ ^ [Y2: a] :
                              ( ( cF @ Y1 @ Y2 )
                             => ( Y1 @ Y2 ) ) )
                       => ( Y1 @ Y0 ) ) ) ) ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f128]) ).

thf(f128,plain,
    ! [X3: a > $o] :
      ( ( $true
        = ( ^ [Y0: a] :
              ~ ( X3 @ Y0 )
          @ ( sK0
            @ ^ [Y0: a] :
                ~ ( ^ [Y1: a] :
                      ~ ( X3 @ Y1 )
                  @ Y0 )
            @ ^ [Y0: a] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( cF @ Y1 @ Y2 )
                         => ( Y1 @ Y2 ) ) )
                   => ( Y1 @ Y0 ) ) ) ) ) )
      | ( $true
        = ( cF
          @ ^ [Y0: a] :
              ~ ( ^ [Y1: a] :
                    ~ ( X3 @ Y1 )
                @ Y0 )
          @ sK1 ) ) ),
    inference(primitive_instantiation,[],[f38]) ).

thf(f38,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( X0
          @ ( sK0
            @ ^ [Y0: a] :
                ~ ( X0 @ Y0 )
            @ ^ [Y0: a] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( cF @ Y1 @ Y2 )
                         => ( Y1 @ Y2 ) ) )
                   => ( Y1 @ Y0 ) ) ) ) ) )
      | ( ( cF
          @ ^ [Y0: a] :
              ~ ( X0 @ Y0 )
          @ sK1 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f25]) ).

thf(f25,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( X0
          @ ( sK0
            @ ^ [Y0: a] :
                ~ ( X0 @ Y0 )
            @ ^ [Y0: a] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( cF @ Y1 @ Y2 )
                         => ( Y1 @ Y2 ) ) )
                   => ( Y1 @ Y0 ) ) ) ) ) )
      | ( $true != $true )
      | ( ( cF
          @ ^ [Y0: a] :
              ~ ( X0 @ Y0 )
          @ sK1 )
        = $true ) ),
    inference(superposition,[],[f24,f14]) ).

thf(f14,plain,
    ( $true
    = ( cF
      @ ^ [Y0: a] :
          ( !! @ ( a > $o )
          @ ^ [Y1: a > $o] :
              ( ( !! @ a
                @ ^ [Y2: a] :
                    ( ( cF @ Y1 @ Y2 )
                   => ( Y1 @ Y2 ) ) )
             => ( Y1 @ Y0 ) ) )
      @ sK1 ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f11,plain,
    ( ! [X0: a > $o,X1: a > $o] :
        ( ( ( $true
            = ( X0 @ ( sK0 @ X1 @ X0 ) ) )
          & ( $true
           != ( X1 @ ( sK0 @ X1 @ X0 ) ) ) )
        | ! [X3: a] :
            ( ( ( cF @ X0 @ X3 )
             != $true )
            | ( $true
              = ( cF @ X1 @ X3 ) ) ) )
    & ( $true
      = ( cF
        @ ^ [Y0: a] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( cF @ Y1 @ Y2 )
                     => ( Y1 @ Y2 ) ) )
               => ( Y1 @ Y0 ) ) )
        @ sK1 ) )
    & ! [X6: a] :
        ( ( $true
         != ( cF @ sK2 @ X6 ) )
        | ( ( sK2 @ X6 )
          = $true ) )
    & ( ( sK2 @ sK1 )
     != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f10,f9,f8]) ).

thf(f8,plain,
    ! [X0: a > $o,X1: a > $o] :
      ( ? [X2: a] :
          ( ( ( X0 @ X2 )
            = $true )
          & ( ( X1 @ X2 )
           != $true ) )
     => ( ( $true
          = ( X0 @ ( sK0 @ X1 @ X0 ) ) )
        & ( $true
         != ( X1 @ ( sK0 @ X1 @ X0 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f9,plain,
    ( ? [X4: a] :
        ( ( ( cF
            @ ^ [Y0: a] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( cF @ Y1 @ Y2 )
                         => ( Y1 @ Y2 ) ) )
                   => ( Y1 @ Y0 ) ) )
            @ X4 )
          = $true )
        & ? [X5: a > $o] :
            ( ! [X6: a] :
                ( ( ( cF @ X5 @ X6 )
                 != $true )
                | ( ( X5 @ X6 )
                  = $true ) )
            & ( $true
             != ( X5 @ X4 ) ) ) )
   => ( ( $true
        = ( cF
          @ ^ [Y0: a] :
              ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( cF @ Y1 @ Y2 )
                       => ( Y1 @ Y2 ) ) )
                 => ( Y1 @ Y0 ) ) )
          @ sK1 ) )
      & ? [X5: a > $o] :
          ( ! [X6: a] :
              ( ( ( cF @ X5 @ X6 )
               != $true )
              | ( ( X5 @ X6 )
                = $true ) )
          & ( ( X5 @ sK1 )
           != $true ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f10,plain,
    ( ? [X5: a > $o] :
        ( ! [X6: a] :
            ( ( ( cF @ X5 @ X6 )
             != $true )
            | ( ( X5 @ X6 )
              = $true ) )
        & ( ( X5 @ sK1 )
         != $true ) )
   => ( ! [X6: a] :
          ( ( $true
           != ( cF @ sK2 @ X6 ) )
          | ( ( sK2 @ X6 )
            = $true ) )
      & ( ( sK2 @ sK1 )
       != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f7,plain,
    ( ! [X0: a > $o,X1: a > $o] :
        ( ? [X2: a] :
            ( ( ( X0 @ X2 )
              = $true )
            & ( ( X1 @ X2 )
             != $true ) )
        | ! [X3: a] :
            ( ( ( cF @ X0 @ X3 )
             != $true )
            | ( $true
              = ( cF @ X1 @ X3 ) ) ) )
    & ? [X4: a] :
        ( ( ( cF
            @ ^ [Y0: a] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( cF @ Y1 @ Y2 )
                         => ( Y1 @ Y2 ) ) )
                   => ( Y1 @ Y0 ) ) )
            @ X4 )
          = $true )
        & ? [X5: a > $o] :
            ( ! [X6: a] :
                ( ( ( cF @ X5 @ X6 )
                 != $true )
                | ( ( X5 @ X6 )
                  = $true ) )
            & ( $true
             != ( X5 @ X4 ) ) ) ) ),
    inference(ennf_transformation,[],[f6]) ).

thf(f6,plain,
    ~ ( ! [X0: a > $o,X1: a > $o] :
          ( ! [X2: a] :
              ( ( ( X0 @ X2 )
                = $true )
             => ( ( X1 @ X2 )
                = $true ) )
         => ! [X3: a] :
              ( ( ( cF @ X0 @ X3 )
                = $true )
             => ( $true
                = ( cF @ X1 @ X3 ) ) ) )
     => ! [X4: a] :
          ( ( ( cF
              @ ^ [Y0: a] :
                  ( !! @ ( a > $o )
                  @ ^ [Y1: a > $o] :
                      ( ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( cF @ Y1 @ Y2 )
                           => ( Y1 @ Y2 ) ) )
                     => ( Y1 @ Y0 ) ) )
              @ X4 )
            = $true )
         => ! [X5: a > $o] :
              ( ! [X6: a] :
                  ( ( ( cF @ X5 @ X6 )
                    = $true )
                 => ( ( X5 @ X6 )
                    = $true ) )
             => ( $true
                = ( X5 @ X4 ) ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f5,plain,
    ~ ( ! [X0: a > $o,X1: a > $o] :
          ( ! [X2: a] :
              ( ( ( X0 @ X2 )
                = $true )
             => ( ( X1 @ X2 )
                = $true ) )
         => ! [X3: a] :
              ( ( ( cF @ X0 @ X3 )
                = $true )
             => ( $true
                = ( cF @ X1 @ X3 ) ) ) )
     => ! [X4: a] :
          ( ( ( cF
              @ ^ [Y0: a] :
                  ( !! @ ( a > $o )
                  @ ^ [Y1: a > $o] :
                      ( ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( cF @ Y1 @ Y2 )
                           => ( Y1 @ Y2 ) ) )
                     => ( Y1 @ Y0 ) ) )
              @ X4 )
            = $true )
         => ! [X8: a > $o] :
              ( ! [X9: a] :
                  ( ( ( cF @ X8 @ X9 )
                    = $true )
                 => ( $true
                    = ( X8 @ X9 ) ) )
             => ( $true
                = ( X8 @ X4 ) ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ! [X0: a > $o,X1: a > $o] :
          ( ! [X2: a] :
              ( ( X0 @ X2 )
             => ( X1 @ X2 ) )
         => ! [X3: a] :
              ( ( cF @ X0 @ X3 )
             => ( cF @ X1 @ X3 ) ) )
     => ! [X4: a] :
          ( ( cF
            @ ^ [X5: a] :
              ! [X6: a > $o] :
                ( ! [X7: a] :
                    ( ( cF @ X6 @ X7 )
                   => ( X6 @ X7 ) )
               => ( X6 @ X5 ) )
            @ X4 )
         => ! [X8: a > $o] :
              ( ! [X9: a] :
                  ( ( cF @ X8 @ X9 )
                 => ( X8 @ X9 ) )
             => ( X8 @ X4 ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ! [X0: a > $o,X1: a > $o] :
          ( ! [X2: a] :
              ( ( X0 @ X2 )
             => ( X1 @ X2 ) )
         => ! [X2: a] :
              ( ( cF @ X0 @ X2 )
             => ( cF @ X1 @ X2 ) ) )
     => ! [X2: a] :
          ( ( cF
            @ ^ [X3: a] :
              ! [X4: a > $o] :
                ( ! [X5: a] :
                    ( ( cF @ X4 @ X5 )
                   => ( X4 @ X5 ) )
               => ( X4 @ X3 ) )
            @ X2 )
         => ! [X4: a > $o] :
              ( ! [X3: a] :
                  ( ( cF @ X4 @ X3 )
                 => ( X4 @ X3 ) )
             => ( X4 @ X2 ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ! [X0: a > $o,X1: a > $o] :
        ( ! [X2: a] :
            ( ( X0 @ X2 )
           => ( X1 @ X2 ) )
       => ! [X2: a] :
            ( ( cF @ X0 @ X2 )
           => ( cF @ X1 @ X2 ) ) )
   => ! [X2: a] :
        ( ( cF
          @ ^ [X3: a] :
            ! [X4: a > $o] :
              ( ! [X5: a] :
                  ( ( cF @ X4 @ X5 )
                 => ( X4 @ X5 ) )
             => ( X4 @ X3 ) )
          @ X2 )
       => ! [X4: a > $o] :
            ( ! [X3: a] :
                ( ( cF @ X4 @ X3 )
               => ( X4 @ X3 ) )
           => ( X4 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM521_pme) ).

thf(f24,plain,
    ! [X3: a,X0: a > $o,X6: a > $o] :
      ( ( ( cF @ X0 @ X3 )
       != $true )
      | ( $true
        = ( cF
          @ ^ [Y0: a] :
              ~ ( X6 @ Y0 )
          @ X3 ) )
      | ( ( X6
          @ ( sK0
            @ ^ [Y0: a] :
                ~ ( X6 @ Y0 )
            @ X0 ) )
        = $true ) ),
    inference(not_proxy_clausification,[],[f23]) ).

thf(f23,plain,
    ! [X3: a,X0: a > $o,X6: a > $o] :
      ( ( ( cF @ X0 @ X3 )
       != $true )
      | ( $true
       != ( ~ ( X6
              @ ( sK0
                @ ^ [Y0: a] :
                    ~ ( X6 @ Y0 )
                @ X0 ) ) ) )
      | ( $true
        = ( cF
          @ ^ [Y0: a] :
              ~ ( X6 @ Y0 )
          @ X3 ) ) ),
    inference(beta_eta_normalization,[],[f19]) ).

thf(f19,plain,
    ! [X3: a,X0: a > $o,X6: a > $o] :
      ( ( $true
        = ( cF
          @ ^ [Y0: a] :
              ~ ( X6 @ Y0 )
          @ X3 ) )
      | ( ( cF @ X0 @ X3 )
       != $true )
      | ( ( ^ [Y0: a] :
              ~ ( X6 @ Y0 )
          @ ( sK0
            @ ^ [Y0: a] :
                ~ ( X6 @ Y0 )
            @ X0 ) )
       != $true ) ),
    inference(primitive_instantiation,[],[f15]) ).

thf(f15,plain,
    ! [X3: a,X0: a > $o,X1: a > $o] :
      ( ( $true
       != ( X1 @ ( sK0 @ X1 @ X0 ) ) )
      | ( $true
        = ( cF @ X1 @ X3 ) )
      | ( ( cF @ X0 @ X3 )
       != $true ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f35,plain,
    ! [X0: a > $o,X1: a > $o] :
      ( ( ( X1
          @ ( sK0 @ X0
            @ ^ [Y0: a] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( cF @ Y1 @ Y2 )
                         => ( Y1 @ Y2 ) ) )
                   => ( Y1 @ Y0 ) ) ) ) )
        = $true )
      | ( $true
        = ( cF @ X0 @ sK1 ) )
      | ( $false
        = ( X1 @ ( sK5 @ X1 ) ) ) ),
    inference(binary_proxy_clausification,[],[f34]) ).

thf(f34,plain,
    ! [X0: a > $o,X1: a > $o] :
      ( ( $false
        = ( ( cF @ X1 @ ( sK5 @ X1 ) )
         => ( X1 @ ( sK5 @ X1 ) ) ) )
      | ( $true
        = ( cF @ X0 @ sK1 ) )
      | ( ( X1
          @ ( sK0 @ X0
            @ ^ [Y0: a] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( cF @ Y1 @ Y2 )
                         => ( Y1 @ Y2 ) ) )
                   => ( Y1 @ Y0 ) ) ) ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f33]) ).

thf(f33,plain,
    ! [X0: a > $o,X1: a > $o] :
      ( ( ( X1
          @ ( sK0 @ X0
            @ ^ [Y0: a] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( cF @ Y1 @ Y2 )
                         => ( Y1 @ Y2 ) ) )
                   => ( Y1 @ Y0 ) ) ) ) )
        = $true )
      | ( $true
        = ( cF @ X0 @ sK1 ) )
      | ( $false
        = ( ^ [Y0: a] :
              ( ( cF @ X1 @ Y0 )
             => ( X1 @ Y0 ) )
          @ ( sK5 @ X1 ) ) ) ),
    inference(sigma_clausification,[],[f32]) ).

thf(f32,plain,
    ! [X0: a > $o,X1: a > $o] :
      ( ( ( X1
          @ ( sK0 @ X0
            @ ^ [Y0: a] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( cF @ Y1 @ Y2 )
                         => ( Y1 @ Y2 ) ) )
                   => ( Y1 @ Y0 ) ) ) ) )
        = $true )
      | ( ( !! @ a
          @ ^ [Y0: a] :
              ( ( cF @ X1 @ Y0 )
             => ( X1 @ Y0 ) ) )
        = $false )
      | ( $true
        = ( cF @ X0 @ sK1 ) ) ),
    inference(binary_proxy_clausification,[],[f31]) ).

thf(f31,plain,
    ! [X0: a > $o,X1: a > $o] :
      ( ( $true
        = ( cF @ X0 @ sK1 ) )
      | ( ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( cF @ X1 @ Y0 )
               => ( X1 @ Y0 ) ) )
         => ( X1
            @ ( sK0 @ X0
              @ ^ [Y0: a] :
                  ( !! @ ( a > $o )
                  @ ^ [Y1: a > $o] :
                      ( ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( cF @ Y1 @ Y2 )
                           => ( Y1 @ Y2 ) ) )
                     => ( Y1 @ Y0 ) ) ) ) ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f30]) ).

thf(f30,plain,
    ! [X0: a > $o,X1: a > $o] :
      ( ( $true
        = ( cF @ X0 @ sK1 ) )
      | ( $true
        = ( ^ [Y0: a > $o] :
              ( ( !! @ a
                @ ^ [Y1: a] :
                    ( ( cF @ Y0 @ Y1 )
                   => ( Y0 @ Y1 ) ) )
             => ( Y0
                @ ( sK0 @ X0
                  @ ^ [Y1: a] :
                      ( !! @ ( a > $o )
                      @ ^ [Y2: a > $o] :
                          ( ( !! @ a
                            @ ^ [Y3: a] :
                                ( ( cF @ Y2 @ Y3 )
                               => ( Y2 @ Y3 ) ) )
                         => ( Y2 @ Y1 ) ) ) ) ) )
          @ X1 ) ) ),
    inference(pi_clausification,[],[f29]) ).

thf(f29,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( cF @ X0 @ sK1 ) )
      | ( ( !! @ ( a > $o )
          @ ^ [Y0: a > $o] :
              ( ( !! @ a
                @ ^ [Y1: a] :
                    ( ( cF @ Y0 @ Y1 )
                   => ( Y0 @ Y1 ) ) )
             => ( Y0
                @ ( sK0 @ X0
                  @ ^ [Y1: a] :
                      ( !! @ ( a > $o )
                      @ ^ [Y2: a > $o] :
                          ( ( !! @ a
                            @ ^ [Y3: a] :
                                ( ( cF @ Y2 @ Y3 )
                               => ( Y2 @ Y3 ) ) )
                         => ( Y2 @ Y1 ) ) ) ) ) ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f28]) ).

thf(f28,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( ^ [Y0: a] :
              ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( cF @ Y1 @ Y2 )
                       => ( Y1 @ Y2 ) ) )
                 => ( Y1 @ Y0 ) ) )
          @ ( sK0 @ X0
            @ ^ [Y0: a] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( cF @ Y1 @ Y2 )
                         => ( Y1 @ Y2 ) ) )
                   => ( Y1 @ Y0 ) ) ) ) ) )
      | ( $true
        = ( cF @ X0 @ sK1 ) ) ),
    inference(trivial_inequality_removal,[],[f26]) ).

thf(f26,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( cF @ X0 @ sK1 ) )
      | ( $true != $true )
      | ( $true
        = ( ^ [Y0: a] :
              ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( cF @ Y1 @ Y2 )
                       => ( Y1 @ Y2 ) ) )
                 => ( Y1 @ Y0 ) ) )
          @ ( sK0 @ X0
            @ ^ [Y0: a] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( cF @ Y1 @ Y2 )
                         => ( Y1 @ Y2 ) ) )
                   => ( Y1 @ Y0 ) ) ) ) ) ) ),
    inference(superposition,[],[f16,f14]) ).

thf(f16,plain,
    ! [X3: a,X0: a > $o,X1: a > $o] :
      ( ( ( cF @ X0 @ X3 )
       != $true )
      | ( $true
        = ( cF @ X1 @ X3 ) )
      | ( $true
        = ( X0 @ ( sK0 @ X1 @ X0 ) ) ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f206,plain,
    ( ( $true
     != ( cF @ sK2 @ sK1 ) )
    | spl3_11 ),
    inference(avatar_component_clause,[],[f205]) ).

thf(f205,plain,
    ( spl3_11
  <=> ( $true
      = ( cF @ sK2 @ sK1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

thf(f496,plain,
    ( ( $true
      = ( sK2 @ ( sK5 @ sK2 ) ) )
    | spl3_11 ),
    inference(subsumption_resolution,[],[f491,f206]) ).

thf(f491,plain,
    ( ( $true
      = ( cF @ sK2 @ sK1 ) )
    | ( $true
      = ( sK2 @ ( sK5 @ sK2 ) ) ) ),
    inference(trivial_inequality_removal,[],[f487]) ).

thf(f487,plain,
    ( ( $true
      = ( sK2 @ ( sK5 @ sK2 ) ) )
    | ( $true
      = ( cF @ sK2 @ sK1 ) )
    | ( $true != $true ) ),
    inference(superposition,[],[f13,f252]) ).

thf(f252,plain,
    ! [X0: a > $o] :
      ( ( ( cF @ X0 @ ( sK5 @ X0 ) )
        = $true )
      | ( $true
        = ( cF @ X0 @ sK1 ) ) ),
    inference(trivial_inequality_removal,[],[f251]) ).

thf(f251,plain,
    ! [X0: a > $o] :
      ( ( $false = $true )
      | ( $true
        = ( cF @ X0 @ sK1 ) )
      | ( ( cF @ X0 @ ( sK5 @ X0 ) )
        = $true ) ),
    inference(duplicate_literal_removal,[],[f230]) ).

thf(f230,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( cF @ X0 @ sK1 ) )
      | ( $false = $true )
      | ( ( cF @ X0 @ ( sK5 @ X0 ) )
        = $true )
      | ( $true
        = ( cF @ X0 @ sK1 ) ) ),
    inference(superposition,[],[f36,f140]) ).

thf(f36,plain,
    ! [X0: a > $o,X1: a > $o] :
      ( ( ( X1
          @ ( sK0 @ X0
            @ ^ [Y0: a] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( cF @ Y1 @ Y2 )
                         => ( Y1 @ Y2 ) ) )
                   => ( Y1 @ Y0 ) ) ) ) )
        = $true )
      | ( $true
        = ( cF @ X1 @ ( sK5 @ X1 ) ) )
      | ( $true
        = ( cF @ X0 @ sK1 ) ) ),
    inference(binary_proxy_clausification,[],[f34]) ).

thf(f13,plain,
    ! [X6: a] :
      ( ( $true
       != ( cF @ sK2 @ X6 ) )
      | ( ( sK2 @ X6 )
        = $true ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f221,plain,
    ~ spl3_11,
    inference(avatar_contradiction_clause,[],[f220]) ).

thf(f220,plain,
    ( $false
    | ~ spl3_11 ),
    inference(subsumption_resolution,[],[f219,f12]) ).

thf(f12,plain,
    ( ( sK2 @ sK1 )
   != $true ),
    inference(cnf_transformation,[],[f11]) ).

thf(f219,plain,
    ( ( ( sK2 @ sK1 )
      = $true )
    | ~ spl3_11 ),
    inference(trivial_inequality_removal,[],[f212]) ).

thf(f212,plain,
    ( ( $true != $true )
    | ( ( sK2 @ sK1 )
      = $true )
    | ~ spl3_11 ),
    inference(superposition,[],[f13,f207]) ).

thf(f207,plain,
    ( ( $true
      = ( cF @ sK2 @ sK1 ) )
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f205]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEV311^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14  % 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
% 0.14/0.35  % Computer : n020.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   : Sun May 19 18:46:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_NEQ_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/sandbox2/benchmark/theBenchmark.p
% 0.21/0.37  % (30621)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.37  % (30623)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)
% 0.21/0.37  % (30625)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)
% 0.21/0.37  % (30626)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)
% 0.21/0.37  % (30625)Instruction limit reached!
% 0.21/0.37  % (30625)------------------------------
% 0.21/0.37  % (30625)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37  % (30625)Termination reason: Unknown
% 0.21/0.37  % (30625)Termination phase: Saturation
% 0.21/0.37  
% 0.21/0.37  % (30625)Memory used [KB]: 895
% 0.21/0.37  % (30625)Time elapsed: 0.003 s
% 0.21/0.37  % (30625)Instructions burned: 2 (million)
% 0.21/0.37  % (30625)------------------------------
% 0.21/0.37  % (30625)------------------------------
% 0.21/0.38  % (30624)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38  % (30622)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)
% 0.21/0.38  % (30628)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)
% 0.21/0.38  % (30624)Instruction limit reached!
% 0.21/0.38  % (30624)------------------------------
% 0.21/0.38  % (30624)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (30624)Termination reason: Unknown
% 0.21/0.38  % (30624)Termination phase: Preprocessing 3
% 0.21/0.38  
% 0.21/0.38  % (30624)Memory used [KB]: 895
% 0.21/0.38  % (30624)Time elapsed: 0.004 s
% 0.21/0.38  % (30624)Instructions burned: 2 (million)
% 0.21/0.38  % (30624)------------------------------
% 0.21/0.38  % (30624)------------------------------
% 0.21/0.38  % (30628)Instruction limit reached!
% 0.21/0.38  % (30628)------------------------------
% 0.21/0.38  % (30628)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (30628)Termination reason: Unknown
% 0.21/0.38  % (30628)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (30628)Memory used [KB]: 5500
% 0.21/0.38  % (30628)Time elapsed: 0.004 s
% 0.21/0.38  % (30628)Instructions burned: 3 (million)
% 0.21/0.38  % (30628)------------------------------
% 0.21/0.38  % (30628)------------------------------
% 0.21/0.38  % (30622)Instruction limit reached!
% 0.21/0.38  % (30622)------------------------------
% 0.21/0.38  % (30622)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (30622)Termination reason: Unknown
% 0.21/0.38  % (30622)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (30622)Memory used [KB]: 5500
% 0.21/0.38  % (30622)Time elapsed: 0.005 s
% 0.21/0.38  % (30622)Instructions burned: 4 (million)
% 0.21/0.38  % (30622)------------------------------
% 0.21/0.38  % (30622)------------------------------
% 0.21/0.39  % (30627)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.39  % (30623)Instruction limit reached!
% 0.21/0.39  % (30623)------------------------------
% 0.21/0.39  % (30623)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (30623)Termination reason: Unknown
% 0.21/0.39  % (30623)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (30623)Memory used [KB]: 5628
% 0.21/0.39  % (30623)Time elapsed: 0.020 s
% 0.21/0.39  % (30623)Instructions burned: 27 (million)
% 0.21/0.39  % (30623)------------------------------
% 0.21/0.39  % (30623)------------------------------
% 0.21/0.39  % (30631)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)
% 0.21/0.40  % (30630)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)
% 0.21/0.40  % (30631)Instruction limit reached!
% 0.21/0.40  % (30631)------------------------------
% 0.21/0.40  % (30631)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (30631)Termination reason: Unknown
% 0.21/0.40  % (30631)Termination phase: Saturation
% 0.21/0.40  
% 0.21/0.40  % (30631)Memory used [KB]: 5500
% 0.21/0.40  % (30631)Time elapsed: 0.003 s
% 0.21/0.40  % (30631)Instructions burned: 3 (million)
% 0.21/0.40  % (30631)------------------------------
% 0.21/0.40  % (30631)------------------------------
% 0.21/0.40  % (30629)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)
% 0.21/0.40  % (30632)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)
% 0.21/0.40  % (30633)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41  % (30630)Instruction limit reached!
% 0.21/0.41  % (30630)------------------------------
% 0.21/0.41  % (30630)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (30630)Termination reason: Unknown
% 0.21/0.41  % (30630)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (30630)Memory used [KB]: 5628
% 0.21/0.41  % (30630)Time elapsed: 0.012 s
% 0.21/0.41  % (30630)Instructions burned: 15 (million)
% 0.21/0.41  % (30630)------------------------------
% 0.21/0.41  % (30630)------------------------------
% 0.21/0.41  % (30627)Instruction limit reached!
% 0.21/0.41  % (30627)------------------------------
% 0.21/0.41  % (30627)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (30627)Termination reason: Unknown
% 0.21/0.41  % (30627)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (30627)Memory used [KB]: 5628
% 0.21/0.41  % (30627)Time elapsed: 0.021 s
% 0.21/0.41  % (30627)Instructions burned: 18 (million)
% 0.21/0.41  % (30627)------------------------------
% 0.21/0.41  % (30627)------------------------------
% 0.21/0.41  % (30633)Instruction limit reached!
% 0.21/0.41  % (30633)------------------------------
% 0.21/0.41  % (30633)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (30633)Termination reason: Unknown
% 0.21/0.41  % (30633)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (30633)Memory used [KB]: 1023
% 0.21/0.41  % (30633)Time elapsed: 0.007 s
% 0.21/0.41  % (30633)Instructions burned: 8 (million)
% 0.21/0.41  % (30633)------------------------------
% 0.21/0.41  % (30633)------------------------------
% 0.21/0.41  % (30634)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42  % (30629)Instruction limit reached!
% 0.21/0.42  % (30629)------------------------------
% 0.21/0.42  % (30629)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (30629)Termination reason: Unknown
% 0.21/0.42  % (30629)Termination phase: Saturation
% 0.21/0.42  
% 0.21/0.42  % (30629)Memory used [KB]: 6140
% 0.21/0.42  % (30629)Time elapsed: 0.021 s
% 0.21/0.42  % (30629)Instructions burned: 38 (million)
% 0.21/0.42  % (30629)------------------------------
% 0.21/0.42  % (30629)------------------------------
% 0.21/0.42  % (30634)Instruction limit reached!
% 0.21/0.42  % (30634)------------------------------
% 0.21/0.42  % (30634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (30634)Termination reason: Unknown
% 0.21/0.42  % (30634)Termination phase: Saturation
% 0.21/0.42  
% 0.21/0.42  % (30634)Memory used [KB]: 5756
% 0.21/0.42  % (30634)Time elapsed: 0.011 s
% 0.21/0.42  % (30634)Instructions burned: 16 (million)
% 0.21/0.42  % (30634)------------------------------
% 0.21/0.42  % (30634)------------------------------
% 0.21/0.42  % (30635)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)
% 0.21/0.42  % (30635)Instruction limit reached!
% 0.21/0.42  % (30635)------------------------------
% 0.21/0.42  % (30635)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (30637)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)
% 0.21/0.42  % (30635)Termination reason: Unknown
% 0.21/0.42  % (30635)Termination phase: Saturation
% 0.21/0.42  
% 0.21/0.42  % (30635)Memory used [KB]: 5500
% 0.21/0.42  % (30635)Time elapsed: 0.004 s
% 0.21/0.42  % (30635)Instructions burned: 3 (million)
% 0.21/0.42  % (30635)------------------------------
% 0.21/0.42  % (30635)------------------------------
% 0.21/0.43  % (30637)Refutation not found, incomplete strategy
% 0.21/0.43  % (30637)------------------------------
% 0.21/0.43  % (30637)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (30637)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43  
% 0.21/0.43  
% 0.21/0.43  % (30637)Memory used [KB]: 5500
% 0.21/0.43  % (30637)Time elapsed: 0.004 s
% 0.21/0.43  % (30637)Instructions burned: 3 (million)
% 0.21/0.43  % (30637)------------------------------
% 0.21/0.43  % (30637)------------------------------
% 0.21/0.43  % (30638)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)
% 0.21/0.43  % (30639)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.43  % (30638)Instruction limit reached!
% 0.21/0.43  % (30638)------------------------------
% 0.21/0.43  % (30638)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (30638)Termination reason: Unknown
% 0.21/0.43  % (30638)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (30638)Memory used [KB]: 5500
% 0.21/0.43  % (30638)Time elapsed: 0.004 s
% 0.21/0.43  % (30638)Instructions burned: 4 (million)
% 0.21/0.43  % (30638)------------------------------
% 0.21/0.43  % (30638)------------------------------
% 0.21/0.43  % (30639)Instruction limit reached!
% 0.21/0.43  % (30639)------------------------------
% 0.21/0.43  % (30639)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (30639)Termination reason: Unknown
% 0.21/0.43  % (30639)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (30639)Memory used [KB]: 5500
% 0.21/0.43  % (30639)Time elapsed: 0.003 s
% 0.21/0.43  % (30639)Instructions burned: 5 (million)
% 0.21/0.43  % (30639)------------------------------
% 0.21/0.43  % (30639)------------------------------
% 0.21/0.44  % (30636)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)
% 0.21/0.44  % (30636)Instruction limit reached!
% 0.21/0.44  % (30636)------------------------------
% 0.21/0.44  % (30636)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (30636)Termination reason: Unknown
% 0.21/0.44  % (30636)Termination phase: Property scanning
% 0.21/0.44  
% 0.21/0.44  % (30636)Memory used [KB]: 1023
% 0.21/0.44  % (30636)Time elapsed: 0.005 s
% 0.21/0.44  % (30636)Instructions burned: 3 (million)
% 0.21/0.44  % (30636)------------------------------
% 0.21/0.44  % (30636)------------------------------
% 0.21/0.44  % (30640)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)
% 0.21/0.44  % (30643)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)
% 0.21/0.45  % (30641)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.45  % (30642)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.45  % (30642)Instruction limit reached!
% 0.21/0.45  % (30642)------------------------------
% 0.21/0.45  % (30642)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (30642)Termination reason: Unknown
% 0.21/0.45  % (30642)Termination phase: Saturation
% 0.21/0.45  
% 0.21/0.45  % (30642)Memory used [KB]: 5500
% 0.21/0.45  % (30642)Time elapsed: 0.007 s
% 0.21/0.45  % (30642)Instructions burned: 6 (million)
% 0.21/0.45  % (30642)------------------------------
% 0.21/0.45  % (30642)------------------------------
% 0.21/0.45  % (30640)Instruction limit reached!
% 0.21/0.45  % (30640)------------------------------
% 0.21/0.45  % (30640)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (30640)Termination reason: Unknown
% 0.21/0.45  % (30640)Termination phase: Saturation
% 0.21/0.45  
% 0.21/0.45  % (30640)Memory used [KB]: 5628
% 0.21/0.45  % (30640)Time elapsed: 0.017 s
% 0.21/0.45  % (30640)Instructions burned: 18 (million)
% 0.21/0.45  % (30640)------------------------------
% 0.21/0.45  % (30640)------------------------------
% 0.21/0.46  % (30644)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)
% 0.21/0.47  % (30646)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)
% 0.21/0.47  % (30644)Instruction limit reached!
% 0.21/0.47  % (30644)------------------------------
% 0.21/0.47  % (30644)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47  % (30644)Termination reason: Unknown
% 0.21/0.47  % (30644)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (30644)Memory used [KB]: 5628
% 0.21/0.47  % (30644)Time elapsed: 0.015 s
% 0.21/0.47  % (30644)Instructions burned: 21 (million)
% 0.21/0.47  % (30644)------------------------------
% 0.21/0.47  % (30644)------------------------------
% 0.21/0.47  % (30646)Instruction limit reached!
% 0.21/0.47  % (30646)------------------------------
% 0.21/0.47  % (30646)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47  % (30646)Termination reason: Unknown
% 0.21/0.47  % (30646)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (30646)Memory used [KB]: 5500
% 0.21/0.47  % (30646)Time elapsed: 0.005 s
% 0.21/0.47  % (30646)Instructions burned: 6 (million)
% 0.21/0.47  % (30646)------------------------------
% 0.21/0.47  % (30646)------------------------------
% 0.21/0.47  % (30645)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.47  % (30621)Instruction limit reached!
% 0.21/0.47  % (30621)------------------------------
% 0.21/0.47  % (30621)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47  % (30621)Termination reason: Unknown
% 0.21/0.47  % (30621)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (30621)Memory used [KB]: 6780
% 0.21/0.47  % (30621)Time elapsed: 0.105 s
% 0.21/0.47  % (30621)Instructions burned: 183 (million)
% 0.21/0.47  % (30621)------------------------------
% 0.21/0.47  % (30621)------------------------------
% 0.21/0.47  % (30645)Instruction limit reached!
% 0.21/0.47  % (30645)------------------------------
% 0.21/0.47  % (30645)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47  % (30645)Termination reason: Unknown
% 0.21/0.47  % (30645)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (30645)Memory used [KB]: 5500
% 0.21/0.47  % (30645)Time elapsed: 0.005 s
% 0.21/0.47  % (30645)Instructions burned: 5 (million)
% 0.21/0.47  % (30645)------------------------------
% 0.21/0.47  % (30645)------------------------------
% 0.21/0.48  % (30647)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.49  % (30648)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)
% 0.21/0.49  % (30649)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)
% 0.21/0.49  % (30650)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)
% 0.21/0.50  % (30649)Instruction limit reached!
% 0.21/0.50  % (30649)------------------------------
% 0.21/0.50  % (30649)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50  % (30649)Termination reason: Unknown
% 0.21/0.50  % (30649)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (30649)Memory used [KB]: 5628
% 0.21/0.50  % (30649)Time elapsed: 0.013 s
% 0.21/0.50  % (30649)Instructions burned: 19 (million)
% 0.21/0.50  % (30649)------------------------------
% 0.21/0.50  % (30649)------------------------------
% 0.21/0.51  % (30651)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.52  % (30626)Instruction limit reached!
% 0.21/0.52  % (30626)------------------------------
% 0.21/0.52  % (30626)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52  % (30626)Termination reason: Unknown
% 0.21/0.52  % (30626)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (30626)Memory used [KB]: 6140
% 0.21/0.52  % (30626)Time elapsed: 0.151 s
% 0.21/0.52  % (30626)Instructions burned: 276 (million)
% 0.21/0.52  % (30626)------------------------------
% 0.21/0.52  % (30626)------------------------------
% 0.21/0.52  % (30651)Instruction limit reached!
% 0.21/0.52  % (30651)------------------------------
% 0.21/0.52  % (30651)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52  % (30651)Termination reason: Unknown
% 0.21/0.52  % (30651)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (30651)Memory used [KB]: 5628
% 0.21/0.52  % (30651)Time elapsed: 0.010 s
% 0.21/0.52  % (30651)Instructions burned: 18 (million)
% 0.21/0.52  % (30651)------------------------------
% 0.21/0.52  % (30651)------------------------------
% 0.21/0.53  % (30652)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.53  % (30652)Instruction limit reached!
% 0.21/0.53  % (30652)------------------------------
% 0.21/0.53  % (30652)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53  % (30652)Termination reason: Unknown
% 0.21/0.53  % (30652)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (30652)Memory used [KB]: 1023
% 0.21/0.53  % (30652)Time elapsed: 0.002 s
% 0.21/0.53  % (30652)Instructions burned: 3 (million)
% 0.21/0.53  % (30652)------------------------------
% 0.21/0.53  % (30652)------------------------------
% 0.21/0.53  % (30653)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.53  % (30650)First to succeed.
% 0.21/0.53  % (30650)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Theorem for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (30650)------------------------------
% 0.21/0.53  % (30650)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53  % (30650)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (30650)Memory used [KB]: 5756
% 0.21/0.53  % (30650)Time elapsed: 0.043 s
% 0.21/0.53  % (30650)Instructions burned: 98 (million)
% 0.21/0.53  % (30650)------------------------------
% 0.21/0.53  % (30650)------------------------------
% 0.21/0.53  % (30620)Success in time 0.173 s
% 0.21/0.53  % Vampire---4.8 exiting
%------------------------------------------------------------------------------