TSTP Solution File: SEV267^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV267^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 04:12:36 EDT 2024

% Result   : Theorem 7.24s 1.49s
% Output   : Refutation 7.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   48
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  236 (  20 unt;  34 typ;   0 def)
%            Number of atoms       : 2100 ( 339 equ;   0 cnn)
%            Maximal formula atoms :    7 (  10 avg)
%            Number of connectives : 3660 ( 320   ~; 458   |; 305   &;1941   @)
%                                         (  11 <=>; 290  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  447 ( 447   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   45 (  40 usr;  14 con; 0-2 aty)
%                                         ( 242  !!;  93  ??;   0 @@+;   0 @@-)
%            Number of variables   :  520 ( 384   ^ 126   !;   9   ?; 520   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(func_def_18,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(func_def_19,type,
    sK2: ( a > $o ) > $o ).

thf(func_def_20,type,
    sK3: a > $o ).

thf(func_def_21,type,
    sK4: a > a > $o ).

thf(func_def_22,type,
    sK5: a > a > $o ).

thf(func_def_23,type,
    sK6: ( a > $o ) > a > $o ).

thf(func_def_24,type,
    sK7: ( a > $o ) > a ).

thf(func_def_25,type,
    sK8: ( a > $o ) > a ).

thf(func_def_26,type,
    sK9: ( a > $o ) > a ).

thf(func_def_27,type,
    sK10: ( a > $o ) > a ).

thf(func_def_28,type,
    sK11: ( a > $o ) > a ).

thf(func_def_29,type,
    sK12: ( a > $o ) > a ).

thf(func_def_30,type,
    sK13: ( a > $o ) > a ).

thf(func_def_31,type,
    sK14: ( a > $o ) > a ).

thf(func_def_32,type,
    sK15: ( a > $o ) > a > $o ).

thf(func_def_33,type,
    sK16: ( a > $o ) > a > $o ).

thf(func_def_34,type,
    sK17: ( a > $o ) > a ).

thf(func_def_35,type,
    sK18: a ).

thf(func_def_36,type,
    sK19: ( a > $o ) > a ).

thf(func_def_37,type,
    sK20: a ).

thf(func_def_38,type,
    sK21: ( a > $o ) > a ).

thf(func_def_39,type,
    sK22: ( a > $o ) > a ).

thf(func_def_40,type,
    sK23: ( a > $o ) > a ).

thf(func_def_41,type,
    sK24: ( a > $o ) > a ).

thf(func_def_42,type,
    sK25: ( a > $o ) > a ).

thf(func_def_43,type,
    sK26: ( a > $o ) > a ).

thf(func_def_44,type,
    sK27: ( a > $o ) > a ).

thf(func_def_45,type,
    sK28: ( a > $o ) > a ).

thf(func_def_46,type,
    sK29: ( a > $o ) > a > $o ).

thf(func_def_47,type,
    sK30: ( a > $o ) > a > $o ).

thf(func_def_48,type,
    sK31: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_49,type,
    sK32: ( a > $o ) > a > $o ).

thf(f4479,plain,
    $false,
    inference(avatar_sat_refutation,[],[f37,f158,f572,f663,f1807,f2298,f2691,f4431,f4474,f4478]) ).

thf(f4478,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f4477]) ).

thf(f4477,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f4476]) ).

thf(f4476,plain,
    ( ( $false = $true )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f32,f153]) ).

thf(f153,plain,
    ( ( $false
      = ( sK2 @ sK3 ) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f151]) ).

thf(f151,plain,
    ( spl0_3
  <=> ( $false
      = ( sK2 @ sK3 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

thf(f32,plain,
    ( ( ( sK2 @ sK3 )
      = $true )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f30]) ).

thf(f30,plain,
    ( spl0_1
  <=> ( ( sK2 @ sK3 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f4474,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4473]) ).

thf(f4473,plain,
    ( $false
    | ~ spl0_3
    | spl0_5
    | spl0_8 ),
    inference(subsumption_resolution,[],[f4472,f1446]) ).

thf(f1446,plain,
    ( ( ( sK3 @ ( sK23 @ sK3 ) )
     != $true )
    | spl0_8 ),
    inference(avatar_component_clause,[],[f1445]) ).

thf(f1445,plain,
    ( spl0_8
  <=> ( ( sK3 @ ( sK23 @ sK3 ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

thf(f4472,plain,
    ( ( ( sK3 @ ( sK23 @ sK3 ) )
      = $true )
    | ~ spl0_3
    | spl0_5 ),
    inference(trivial_inequality_removal,[],[f4471]) ).

thf(f4471,plain,
    ( ( $false != $false )
    | ( ( sK3 @ ( sK23 @ sK3 ) )
      = $true )
    | ~ spl0_3
    | spl0_5 ),
    inference(duplicate_literal_removal,[],[f4469]) ).

thf(f4469,plain,
    ( ( ( sK3 @ ( sK23 @ sK3 ) )
      = $true )
    | ( $false != $false )
    | ( ( sK3 @ ( sK23 @ sK3 ) )
      = $true )
    | ~ spl0_3
    | spl0_5 ),
    inference(superposition,[],[f561,f1420]) ).

thf(f1420,plain,
    ( ! [X0: a > $o] :
        ( ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) )
        | ( ( X0 @ ( sK23 @ X0 ) )
          = $true )
        | ( ( sK3 @ ( sK23 @ X0 ) )
          = $true ) )
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1419]) ).

thf(f1419,plain,
    ( ! [X0: a > $o] :
        ( ( ( sK3 @ ( sK23 @ X0 ) )
          = $true )
        | ( $false = $true )
        | ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) )
        | ( ( X0 @ ( sK23 @ X0 ) )
          = $true ) )
    | ~ spl0_3 ),
    inference(boolean_simplification,[],[f1418]) ).

thf(f1418,plain,
    ( ! [X0: a > $o] :
        ( ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) )
        | ( ( sK3 @ ( sK23 @ X0 ) )
          = $true )
        | ( ( X0 @ ( sK23 @ X0 ) )
          = $true )
        | ( ( $false
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( ( sK29 @ X0 @ Y0 )
                 => ( X0 @ Y0 ) ) ) )
          = $true ) )
    | ~ spl0_3 ),
    inference(boolean_simplification,[],[f1417]) ).

thf(f1417,plain,
    ( ! [X0: a > $o] :
        ( ( ( sK3 @ ( sK23 @ X0 ) )
          = $true )
        | ( ( X0 @ ( sK23 @ X0 ) )
          = $true )
        | ( ( ( sK2 @ ( sK29 @ X0 ) )
            & $false
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( ( sK29 @ X0 @ Y0 )
                 => ( X0 @ Y0 ) ) ) )
          = $true )
        | ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) ) )
    | ~ spl0_3 ),
    inference(duplicate_literal_removal,[],[f1412]) ).

thf(f1412,plain,
    ( ! [X0: a > $o] :
        ( ( ( sK3 @ ( sK23 @ X0 ) )
          = $true )
        | ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) )
        | ( ( sK3 @ ( sK23 @ X0 ) )
          = $true )
        | ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) )
        | ( ( ( sK2 @ ( sK29 @ X0 ) )
            & $false
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( ( sK29 @ X0 @ Y0 )
                 => ( X0 @ Y0 ) ) ) )
          = $true )
        | ( ( X0 @ ( sK23 @ X0 ) )
          = $true ) )
    | ~ spl0_3 ),
    inference(superposition,[],[f940,f1378]) ).

thf(f1378,plain,
    ( ! [X0: a > $o,X1: a] :
        ( ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) )
        | ( $false
          = ( sK29 @ X0 @ X1 ) )
        | ( ( sK3 @ ( sK23 @ X0 ) )
          = $true )
        | ( ( X0 @ X1 )
          = $true ) )
    | ~ spl0_3 ),
    inference(binary_proxy_clausification,[],[f1002]) ).

thf(f1002,plain,
    ( ! [X0: a > $o,X1: a] :
        ( ( ( ( sK29 @ X0 @ X1 )
           => ( X0 @ X1 ) )
          = $true )
        | ( ( sK3 @ ( sK23 @ X0 ) )
          = $true )
        | ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) ) )
    | ~ spl0_3 ),
    inference(beta_eta_normalization,[],[f1000]) ).

thf(f1000,plain,
    ( ! [X0: a > $o,X1: a] :
        ( ( ( sK3 @ ( sK23 @ X0 ) )
          = $true )
        | ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) )
        | ( ( ^ [Y0: a] :
                ( ( sK29 @ X0 @ Y0 )
               => ( X0 @ Y0 ) )
            @ X1 )
          = $true ) )
    | ~ spl0_3 ),
    inference(pi_clausification,[],[f959]) ).

thf(f959,plain,
    ( ! [X0: a > $o] :
        ( ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( sK29 @ X0 @ Y0 )
               => ( X0 @ Y0 ) ) )
          = $true )
        | ( ( sK3 @ ( sK23 @ X0 ) )
          = $true )
        | ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) ) )
    | ~ spl0_3 ),
    inference(binary_proxy_clausification,[],[f940]) ).

thf(f940,plain,
    ( ! [X0: a > $o] :
        ( ( ( ( sK2 @ ( sK29 @ X0 ) )
            & ( sK29 @ X0 @ ( sK23 @ X0 ) )
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( ( sK29 @ X0 @ Y0 )
                 => ( X0 @ Y0 ) ) ) )
          = $true )
        | ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) )
        | ( ( sK3 @ ( sK23 @ X0 ) )
          = $true ) )
    | ~ spl0_3 ),
    inference(beta_eta_normalization,[],[f938]) ).

thf(f938,plain,
    ( ! [X0: a > $o] :
        ( ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) )
        | ( ( sK3 @ ( sK23 @ X0 ) )
          = $true )
        | ( ( ^ [Y0: a > $o] :
                ( ( sK2 @ Y0 )
                & ( Y0 @ ( sK23 @ X0 ) )
                & ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( X0 @ Y1 ) ) ) )
            @ ( sK29 @ X0 ) )
          = $true ) )
    | ~ spl0_3 ),
    inference(sigma_clausification,[],[f861]) ).

thf(f861,plain,
    ( ! [X0: a > $o] :
        ( ( ( ?? @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( sK2 @ Y0 )
                & ( Y0 @ ( sK23 @ X0 ) )
                & ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( X0 @ Y1 ) ) ) ) )
          = $true )
        | ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) )
        | ( ( sK3 @ ( sK23 @ X0 ) )
          = $true ) )
    | ~ spl0_3 ),
    inference(binary_proxy_clausification,[],[f860]) ).

thf(f860,plain,
    ( ! [X0: a > $o] :
        ( ( ( sK3 @ ( sK23 @ X0 ) )
         != ( ?? @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( sK2 @ Y0 )
                & ( Y0 @ ( sK23 @ X0 ) )
                & ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( X0 @ Y1 ) ) ) ) ) )
        | ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) ) )
    | ~ spl0_3 ),
    inference(beta_eta_normalization,[],[f859]) ).

thf(f859,plain,
    ( ! [X0: a > $o] :
        ( ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) )
        | ( ( sK3 @ ( sK23 @ X0 ) )
         != ( ^ [Y0: a] :
                ( ?? @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( sK2 @ Y1 )
                    & ( Y1 @ Y0 )
                    & ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( Y1 @ Y2 )
                         => ( X0 @ Y2 ) ) ) ) )
            @ ( sK23 @ X0 ) ) ) )
    | ~ spl0_3 ),
    inference(negative_extensionality,[],[f855]) ).

thf(f855,plain,
    ( ! [X0: a > $o] :
        ( ( sK3
         != ( ^ [Y0: a] :
                ( ?? @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( sK2 @ Y1 )
                    & ( Y1 @ Y0 )
                    & ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( Y1 @ Y2 )
                         => ( X0 @ Y2 ) ) ) ) ) ) )
        | ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) ) )
    | ~ spl0_3 ),
    inference(binary_proxy_clausification,[],[f853]) ).

thf(f853,plain,
    ( ! [X0: a > $o] :
        ( ( sK3
         != ( ^ [Y0: a] :
                ( ?? @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( sK2 @ Y1 )
                    & ( Y1 @ Y0 )
                    & ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( Y1 @ Y2 )
                         => ( X0 @ Y2 ) ) ) ) ) ) )
        | ( $false
          = ( ( ( sK2 @ ( sK6 @ X0 ) )
              & ( !! @ a
                @ ^ [Y0: a] :
                    ( ( sK6 @ X0 @ Y0 )
                   => ( X0 @ Y0 ) ) ) )
           => ( sK2 @ ( sK6 @ X0 ) ) ) ) )
    | ~ spl0_3 ),
    inference(beta_eta_normalization,[],[f851]) ).

thf(f851,plain,
    ( ! [X0: a > $o] :
        ( ( ( ^ [Y0: a > $o] :
                ( ( ( sK2 @ Y0 )
                  & ( !! @ a
                    @ ^ [Y1: a] :
                        ( ( Y0 @ Y1 )
                       => ( X0 @ Y1 ) ) ) )
               => ( sK2 @ Y0 ) )
            @ ( sK6 @ X0 ) )
          = $false )
        | ( sK3
         != ( ^ [Y0: a] :
                ( ?? @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( sK2 @ Y1 )
                    & ( Y1 @ Y0 )
                    & ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( Y1 @ Y2 )
                         => ( X0 @ Y2 ) ) ) ) ) ) ) )
    | ~ spl0_3 ),
    inference(sigma_clausification,[],[f843]) ).

thf(f843,plain,
    ( ! [X0: a > $o] :
        ( ( sK3
         != ( ^ [Y0: a] :
                ( ?? @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( sK2 @ Y1 )
                    & ( Y1 @ Y0 )
                    & ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( Y1 @ Y2 )
                         => ( X0 @ Y2 ) ) ) ) ) ) )
        | ( $false
          = ( !! @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( ( sK2 @ Y0 )
                  & ( !! @ a
                    @ ^ [Y1: a] :
                        ( ( Y0 @ Y1 )
                       => ( X0 @ Y1 ) ) ) )
               => ( sK2 @ Y0 ) ) ) ) )
    | ~ spl0_3 ),
    inference(equality_proxy_clausification,[],[f727]) ).

thf(f727,plain,
    ( ! [X0: a > $o] :
        ( ( $false
          = ( sK3
            = ( ^ [Y0: a] :
                  ( ?? @ ( a > $o )
                  @ ^ [Y1: a > $o] :
                      ( ( sK2 @ Y1 )
                      & ( Y1 @ Y0 )
                      & ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( Y1 @ Y2 )
                           => ( X0 @ Y2 ) ) ) ) ) ) ) )
        | ( $false
          = ( !! @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( ( sK2 @ Y0 )
                  & ( !! @ a
                    @ ^ [Y1: a] :
                        ( ( Y0 @ Y1 )
                       => ( X0 @ Y1 ) ) ) )
               => ( sK2 @ Y0 ) ) ) ) )
    | ~ spl0_3 ),
    inference(binary_proxy_clausification,[],[f697]) ).

thf(f697,plain,
    ( ! [X0: a > $o] :
        ( $false
        = ( ( sK3
            = ( ^ [Y0: a] :
                  ( ?? @ ( a > $o )
                  @ ^ [Y1: a > $o] :
                      ( ( sK2 @ Y1 )
                      & ( Y1 @ Y0 )
                      & ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( Y1 @ Y2 )
                           => ( X0 @ Y2 ) ) ) ) ) ) )
          & ( !! @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( ( sK2 @ Y0 )
                  & ( !! @ a
                    @ ^ [Y1: a] :
                        ( ( Y0 @ Y1 )
                       => ( X0 @ Y1 ) ) ) )
               => ( sK2 @ Y0 ) ) ) ) )
    | ~ spl0_3 ),
    inference(not_proxy_clausification,[],[f669]) ).

thf(f669,plain,
    ( ! [X0: a > $o] :
        ( $true
        = ( ~ ( ( sK3
                = ( ^ [Y0: a] :
                      ( ?? @ ( a > $o )
                      @ ^ [Y1: a > $o] :
                          ( ( sK2 @ Y1 )
                          & ( Y1 @ Y0 )
                          & ( !! @ a
                            @ ^ [Y2: a] :
                                ( ( Y1 @ Y2 )
                               => ( X0 @ Y2 ) ) ) ) ) ) )
              & ( !! @ ( a > $o )
                @ ^ [Y0: a > $o] :
                    ( ( ( sK2 @ Y0 )
                      & ( !! @ a
                        @ ^ [Y1: a] :
                            ( ( Y0 @ Y1 )
                           => ( X0 @ Y1 ) ) ) )
                   => ( sK2 @ Y0 ) ) ) ) ) )
    | ~ spl0_3 ),
    inference(boolean_simplification,[],[f668]) ).

thf(f668,plain,
    ( ! [X0: a > $o] :
        ( ( ( ( sK3
              = ( ^ [Y0: a] :
                    ( ?? @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( ( sK2 @ Y1 )
                        & ( Y1 @ Y0 )
                        & ( !! @ a
                          @ ^ [Y2: a] :
                              ( ( Y1 @ Y2 )
                             => ( X0 @ Y2 ) ) ) ) ) ) )
            & ( !! @ ( a > $o )
              @ ^ [Y0: a > $o] :
                  ( ( ( sK2 @ Y0 )
                    & ( !! @ a
                      @ ^ [Y1: a] :
                          ( ( Y0 @ Y1 )
                         => ( X0 @ Y1 ) ) ) )
                 => ( sK2 @ Y0 ) ) ) )
         => $false )
        = $true )
    | ~ spl0_3 ),
    inference(superposition,[],[f27,f153]) ).

thf(f27,plain,
    ! [X2: a > $o,X1: a > $o] :
      ( ( ( ( X1
            = ( ^ [Y0: a] :
                  ( ?? @ ( a > $o )
                  @ ^ [Y1: a > $o] :
                      ( ( sK2 @ Y1 )
                      & ( Y1 @ Y0 )
                      & ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( Y1 @ Y2 )
                           => ( X2 @ Y2 ) ) ) ) ) ) )
          & ( !! @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( ( sK2 @ Y0 )
                  & ( !! @ a
                    @ ^ [Y1: a] :
                        ( ( Y0 @ Y1 )
                       => ( X2 @ Y1 ) ) ) )
               => ( sK2 @ Y0 ) ) ) )
       => ( sK2 @ X1 ) )
      = $true ),
    inference(beta_eta_normalization,[],[f26]) ).

thf(f26,plain,
    ! [X2: a > $o,X1: a > $o] :
      ( ( ^ [Y0: a > $o] :
            ( ( ( X1
                = ( ^ [Y1: a] :
                      ( ?? @ ( a > $o )
                      @ ^ [Y2: a > $o] :
                          ( ( sK2 @ Y2 )
                          & ( Y2 @ Y1 )
                          & ( !! @ a
                            @ ^ [Y3: a] :
                                ( ( Y2 @ Y3 )
                               => ( Y0 @ Y3 ) ) ) ) ) ) )
              & ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( ( sK2 @ Y1 )
                      & ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( Y1 @ Y2 )
                           => ( Y0 @ Y2 ) ) ) )
                   => ( sK2 @ Y1 ) ) ) )
           => ( sK2 @ X1 ) )
        @ X2 )
      = $true ),
    inference(pi_clausification,[],[f24]) ).

thf(f24,plain,
    ! [X1: a > $o] :
      ( ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( ( X1
                = ( ^ [Y1: a] :
                      ( ?? @ ( a > $o )
                      @ ^ [Y2: a > $o] :
                          ( ( sK2 @ Y2 )
                          & ( Y2 @ Y1 )
                          & ( !! @ a
                            @ ^ [Y3: a] :
                                ( ( Y2 @ Y3 )
                               => ( Y0 @ Y3 ) ) ) ) ) ) )
              & ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( ( sK2 @ Y1 )
                      & ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( Y1 @ Y2 )
                           => ( Y0 @ Y2 ) ) ) )
                   => ( sK2 @ Y1 ) ) ) )
           => ( sK2 @ X1 ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f23]) ).

thf(f23,plain,
    ! [X1: a > $o] :
      ( ( ^ [Y0: a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( ( Y0
                    = ( ^ [Y2: a] :
                          ( ?? @ ( a > $o )
                          @ ^ [Y3: a > $o] :
                              ( ( sK2 @ Y3 )
                              & ( Y3 @ Y2 )
                              & ( !! @ a
                                @ ^ [Y4: a] :
                                    ( ( Y3 @ Y4 )
                                   => ( Y1 @ Y4 ) ) ) ) ) ) )
                  & ( !! @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( ( ( sK2 @ Y2 )
                          & ( !! @ a
                            @ ^ [Y3: a] :
                                ( ( Y2 @ Y3 )
                               => ( Y1 @ Y3 ) ) ) )
                       => ( sK2 @ Y2 ) ) ) )
               => ( sK2 @ Y0 ) ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f21]) ).

thf(f21,plain,
    ( ( !! @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( !! @ ( a > $o )
          @ ^ [Y1: a > $o] :
              ( ( ( Y0
                  = ( ^ [Y2: a] :
                        ( ?? @ ( a > $o )
                        @ ^ [Y3: a > $o] :
                            ( ( sK2 @ Y3 )
                            & ( Y3 @ Y2 )
                            & ( !! @ a
                              @ ^ [Y4: a] :
                                  ( ( Y3 @ Y4 )
                                 => ( Y1 @ Y4 ) ) ) ) ) ) )
                & ( !! @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( ( ( sK2 @ Y2 )
                        & ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                             => ( Y1 @ Y3 ) ) ) )
                     => ( sK2 @ Y2 ) ) ) )
             => ( sK2 @ Y0 ) ) ) )
    = $true ),
    inference(not_proxy_clausification,[],[f18]) ).

thf(f18,plain,
    ( ( ~ ( !! @ ( a > $o )
          @ ^ [Y0: a > $o] :
              ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( ( Y0
                      = ( ^ [Y2: a] :
                            ( ?? @ ( a > $o )
                            @ ^ [Y3: a > $o] :
                                ( ( sK2 @ Y3 )
                                & ( Y3 @ Y2 )
                                & ( !! @ a
                                  @ ^ [Y4: a] :
                                      ( ( Y3 @ Y4 )
                                     => ( Y1 @ Y4 ) ) ) ) ) ) )
                    & ( !! @ ( a > $o )
                      @ ^ [Y2: a > $o] :
                          ( ( ( sK2 @ Y2 )
                            & ( !! @ a
                              @ ^ [Y3: a] :
                                  ( ( Y2 @ Y3 )
                                 => ( Y1 @ Y3 ) ) ) )
                         => ( sK2 @ Y2 ) ) ) )
                 => ( sK2 @ Y0 ) ) ) ) )
    = $false ),
    inference(boolean_simplification,[],[f14]) ).

thf(f14,plain,
    ( ( ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( ( Y0
                    = ( ^ [Y2: a] :
                          ( ?? @ ( a > $o )
                          @ ^ [Y3: a > $o] :
                              ( ( sK2 @ Y3 )
                              & ( Y3 @ Y2 )
                              & ( !! @ a
                                @ ^ [Y4: a] :
                                    ( ( Y3 @ Y4 )
                                   => ( Y1 @ Y4 ) ) ) ) ) ) )
                  & ( !! @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( ( ( sK2 @ Y2 )
                          & ( !! @ a
                            @ ^ [Y3: a] :
                                ( ( Y2 @ Y3 )
                               => ( Y1 @ Y3 ) ) ) )
                       => ( sK2 @ Y2 ) ) ) )
               => ( sK2 @ Y0 ) ) ) )
     => $false )
    = $false ),
    inference(backward_demodulation,[],[f11,f12]) ).

thf(f12,plain,
    ( $false
    = ( !! @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( ( !! @ a
            @ ^ [Y1: a] :
                ( ( Y0 @ Y1 )
               => ( ?? @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( Y2 @ Y3 )
                           => ( Y0 @ Y3 ) ) )
                      & ( ?? @ ( a > $o )
                        @ ^ [Y3: a > $o] :
                            ( ( !! @ a
                              @ ^ [Y4: a] :
                                  ( ( Y3 @ Y4 )
                                 => ( Y2 @ Y4 ) ) )
                            & ( sK2 @ Y3 )
                            & ( Y3 @ Y1 ) ) ) ) ) ) )
          = ( sK2 @ Y0 ) ) ) ),
    inference(binary_proxy_clausification,[],[f11]) ).

thf(f11,plain,
    ( $false
    = ( ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( ( Y0
                    = ( ^ [Y2: a] :
                          ( ?? @ ( a > $o )
                          @ ^ [Y3: a > $o] :
                              ( ( sK2 @ Y3 )
                              & ( Y3 @ Y2 )
                              & ( !! @ a
                                @ ^ [Y4: a] :
                                    ( ( Y3 @ Y4 )
                                   => ( Y1 @ Y4 ) ) ) ) ) ) )
                  & ( !! @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( ( ( sK2 @ Y2 )
                          & ( !! @ a
                            @ ^ [Y3: a] :
                                ( ( Y2 @ Y3 )
                               => ( Y1 @ Y3 ) ) ) )
                       => ( sK2 @ Y2 ) ) ) )
               => ( sK2 @ Y0 ) ) ) )
     => ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( ?? @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                             => ( Y0 @ Y3 ) ) )
                        & ( ?? @ ( a > $o )
                          @ ^ [Y3: a > $o] :
                              ( ( !! @ a
                                @ ^ [Y4: a] :
                                    ( ( Y3 @ Y4 )
                                   => ( Y2 @ Y4 ) ) )
                              & ( sK2 @ Y3 )
                              & ( Y3 @ Y1 ) ) ) ) ) ) )
            = ( sK2 @ Y0 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f9]) ).

thf(f9,plain,
    ( $false
    = ( ^ [Y0: ( a > $o ) > $o] :
          ( ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( !! @ ( a > $o )
                @ ^ [Y2: a > $o] :
                    ( ( ( Y1
                        = ( ^ [Y3: a] :
                              ( ?? @ ( a > $o )
                              @ ^ [Y4: a > $o] :
                                  ( ( Y0 @ Y4 )
                                  & ( Y4 @ Y3 )
                                  & ( !! @ a
                                    @ ^ [Y5: a] :
                                        ( ( Y4 @ Y5 )
                                       => ( Y2 @ Y5 ) ) ) ) ) ) )
                      & ( !! @ ( a > $o )
                        @ ^ [Y3: a > $o] :
                            ( ( ( Y0 @ Y3 )
                              & ( !! @ a
                                @ ^ [Y4: a] :
                                    ( ( Y3 @ Y4 )
                                   => ( Y2 @ Y4 ) ) ) )
                           => ( Y0 @ Y3 ) ) ) )
                   => ( Y0 @ Y1 ) ) ) )
         => ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                     => ( ?? @ ( a > $o )
                        @ ^ [Y3: a > $o] :
                            ( ( !! @ a
                              @ ^ [Y4: a] :
                                  ( ( Y3 @ Y4 )
                                 => ( Y1 @ Y4 ) ) )
                            & ( ?? @ ( a > $o )
                              @ ^ [Y4: a > $o] :
                                  ( ( !! @ a
                                    @ ^ [Y5: a] :
                                        ( ( Y4 @ Y5 )
                                       => ( Y3 @ Y5 ) ) )
                                  & ( Y0 @ Y4 )
                                  & ( Y4 @ Y2 ) ) ) ) ) ) )
                = ( Y0 @ Y1 ) ) ) )
      @ sK2 ) ),
    inference(sigma_clausification,[],[f7]) ).

thf(f7,plain,
    ( $false
    = ( !! @ ( ( a > $o ) > $o )
      @ ^ [Y0: ( a > $o ) > $o] :
          ( ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( !! @ ( a > $o )
                @ ^ [Y2: a > $o] :
                    ( ( ( Y1
                        = ( ^ [Y3: a] :
                              ( ?? @ ( a > $o )
                              @ ^ [Y4: a > $o] :
                                  ( ( Y0 @ Y4 )
                                  & ( Y4 @ Y3 )
                                  & ( !! @ a
                                    @ ^ [Y5: a] :
                                        ( ( Y4 @ Y5 )
                                       => ( Y2 @ Y5 ) ) ) ) ) ) )
                      & ( !! @ ( a > $o )
                        @ ^ [Y3: a > $o] :
                            ( ( ( Y0 @ Y3 )
                              & ( !! @ a
                                @ ^ [Y4: a] :
                                    ( ( Y3 @ Y4 )
                                   => ( Y2 @ Y4 ) ) ) )
                           => ( Y0 @ Y3 ) ) ) )
                   => ( Y0 @ Y1 ) ) ) )
         => ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                     => ( ?? @ ( a > $o )
                        @ ^ [Y3: a > $o] :
                            ( ( !! @ a
                              @ ^ [Y4: a] :
                                  ( ( Y3 @ Y4 )
                                 => ( Y1 @ Y4 ) ) )
                            & ( ?? @ ( a > $o )
                              @ ^ [Y4: a > $o] :
                                  ( ( !! @ a
                                    @ ^ [Y5: a] :
                                        ( ( Y4 @ Y5 )
                                       => ( Y3 @ Y5 ) ) )
                                  & ( Y0 @ Y4 )
                                  & ( Y4 @ Y2 ) ) ) ) ) ) )
                = ( Y0 @ Y1 ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f6]) ).

thf(f6,plain,
    ( ( ~ ( !! @ ( ( a > $o ) > $o )
          @ ^ [Y0: ( a > $o ) > $o] :
              ( ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( !! @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( ( ( Y1
                            = ( ^ [Y3: a] :
                                  ( ?? @ ( a > $o )
                                  @ ^ [Y4: a > $o] :
                                      ( ( Y0 @ Y4 )
                                      & ( Y4 @ Y3 )
                                      & ( !! @ a
                                        @ ^ [Y5: a] :
                                            ( ( Y4 @ Y5 )
                                           => ( Y2 @ Y5 ) ) ) ) ) ) )
                          & ( !! @ ( a > $o )
                            @ ^ [Y3: a > $o] :
                                ( ( ( Y0 @ Y3 )
                                  & ( !! @ a
                                    @ ^ [Y4: a] :
                                        ( ( Y3 @ Y4 )
                                       => ( Y2 @ Y4 ) ) ) )
                               => ( Y0 @ Y3 ) ) ) )
                       => ( Y0 @ Y1 ) ) ) )
             => ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( Y1 @ Y2 )
                         => ( ?? @ ( a > $o )
                            @ ^ [Y3: a > $o] :
                                ( ( !! @ a
                                  @ ^ [Y4: a] :
                                      ( ( Y3 @ Y4 )
                                     => ( Y1 @ Y4 ) ) )
                                & ( ?? @ ( a > $o )
                                  @ ^ [Y4: a > $o] :
                                      ( ( !! @ a
                                        @ ^ [Y5: a] :
                                            ( ( Y4 @ Y5 )
                                           => ( Y3 @ Y5 ) ) )
                                      & ( Y0 @ Y4 )
                                      & ( Y4 @ Y2 ) ) ) ) ) ) )
                    = ( Y0 @ Y1 ) ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f5]) ).

thf(f5,plain,
    ( ( ~ ( !! @ ( ( a > $o ) > $o )
          @ ^ [Y0: ( a > $o ) > $o] :
              ( ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( !! @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( ( ( Y1
                            = ( ^ [Y3: a] :
                                  ( ?? @ ( a > $o )
                                  @ ^ [Y4: a > $o] :
                                      ( ( Y0 @ Y4 )
                                      & ( Y4 @ Y3 )
                                      & ( !! @ a
                                        @ ^ [Y5: a] :
                                            ( ( Y4 @ Y5 )
                                           => ( Y2 @ Y5 ) ) ) ) ) ) )
                          & ( !! @ ( a > $o )
                            @ ^ [Y3: a > $o] :
                                ( ( ( Y0 @ Y3 )
                                  & ( !! @ a
                                    @ ^ [Y4: a] :
                                        ( ( Y3 @ Y4 )
                                       => ( Y2 @ Y4 ) ) ) )
                               => ( Y0 @ Y3 ) ) ) )
                       => ( Y0 @ Y1 ) ) ) )
             => ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( Y1 @ Y2 )
                         => ( ?? @ ( a > $o )
                            @ ^ [Y3: a > $o] :
                                ( ( !! @ a
                                  @ ^ [Y4: a] :
                                      ( ( Y3 @ Y4 )
                                     => ( Y1 @ Y4 ) ) )
                                & ( ?? @ ( a > $o )
                                  @ ^ [Y4: a > $o] :
                                      ( ( !! @ a
                                        @ ^ [Y5: a] :
                                            ( ( Y4 @ Y5 )
                                           => ( Y3 @ Y5 ) ) )
                                      & ( Y0 @ Y4 )
                                      & ( Y4 @ Y2 ) ) ) ) ) ) )
                    = ( Y0 @ Y1 ) ) ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ! [X0: ( a > $o ) > $o] :
        ( ! [X1: a > $o,X2: a > $o] :
            ( ( ! [X3: a > $o] :
                  ( ( ! [X4: a] :
                        ( ( X3 @ X4 )
                       => ( X1 @ X4 ) )
                    & ( X0 @ X3 ) )
                 => ( X0 @ X3 ) )
              & ( X2
                = ( ^ [X5: a] :
                    ? [X6: a > $o] :
                      ( ! [X7: a] :
                          ( ( X6 @ X7 )
                         => ( X1 @ X7 ) )
                      & ( X6 @ X5 )
                      & ( X0 @ X6 ) ) ) ) )
           => ( X0 @ X2 ) )
       => ! [X8: a > $o] :
            ( ! [X9: a] :
                ( ( X8 @ X9 )
               => ? [X10: a > $o] :
                    ( ? [X11: a > $o] :
                        ( ( X11 @ X9 )
                        & ( X0 @ X11 )
                        & ! [X12: a] :
                            ( ( X11 @ X12 )
                           => ( X10 @ X12 ) ) )
                    & ! [X13: a] :
                        ( ( X10 @ X13 )
                       => ( X8 @ X13 ) ) ) )
          <=> ( X0 @ X8 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ! [X0: ( a > $o ) > $o] :
        ( ! [X1: a > $o,X2: a > $o] :
            ( ( ! [X3: a > $o] :
                  ( ( ! [X4: a] :
                        ( ( X3 @ X4 )
                       => ( X1 @ X4 ) )
                    & ( X0 @ X3 ) )
                 => ( X0 @ X3 ) )
              & ( X2
                = ( ^ [X3: a] :
                    ? [X5: a > $o] :
                      ( ! [X4: a] :
                          ( ( X5 @ X4 )
                         => ( X1 @ X4 ) )
                      & ( X5 @ X3 )
                      & ( X0 @ X5 ) ) ) ) )
           => ( X0 @ X2 ) )
       => ! [X1: a > $o] :
            ( ! [X3: a] :
                ( ( X1 @ X3 )
               => ? [X2: a > $o] :
                    ( ? [X6: a > $o] :
                        ( ( X6 @ X3 )
                        & ( X0 @ X6 )
                        & ! [X4: a] :
                            ( ( X6 @ X4 )
                           => ( X2 @ X4 ) ) )
                    & ! [X4: a] :
                        ( ( X2 @ X4 )
                       => ( X1 @ X4 ) ) ) )
          <=> ( X0 @ X1 ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ! [X0: ( a > $o ) > $o] :
      ( ! [X1: a > $o,X2: a > $o] :
          ( ( ! [X3: a > $o] :
                ( ( ! [X4: a] :
                      ( ( X3 @ X4 )
                     => ( X1 @ X4 ) )
                  & ( X0 @ X3 ) )
               => ( X0 @ X3 ) )
            & ( X2
              = ( ^ [X3: a] :
                  ? [X5: a > $o] :
                    ( ! [X4: a] :
                        ( ( X5 @ X4 )
                       => ( X1 @ X4 ) )
                    & ( X5 @ X3 )
                    & ( X0 @ X5 ) ) ) ) )
         => ( X0 @ X2 ) )
     => ! [X1: a > $o] :
          ( ! [X3: a] :
              ( ( X1 @ X3 )
             => ? [X2: a > $o] :
                  ( ? [X6: a > $o] :
                      ( ( X6 @ X3 )
                      & ( X0 @ X6 )
                      & ! [X4: a] :
                          ( ( X6 @ X4 )
                         => ( X2 @ X4 ) ) )
                  & ! [X4: a] :
                      ( ( X2 @ X4 )
                     => ( X1 @ X4 ) ) ) )
        <=> ( X0 @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cNBHD_THM1_pme) ).

thf(f561,plain,
    ( ( $false
     != ( sK2 @ ( sK6 @ sK3 ) ) )
    | spl0_5 ),
    inference(avatar_component_clause,[],[f560]) ).

thf(f560,plain,
    ( spl0_5
  <=> ( $false
      = ( sK2 @ ( sK6 @ sK3 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

thf(f4431,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f4430]) ).

thf(f4430,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f4429]) ).

thf(f4429,plain,
    ( ( $false = $true )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4427,f2297]) ).

thf(f2297,plain,
    ( ( $false
      = ( sK3 @ ( sK22 @ sK3 ) ) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f2295]) ).

thf(f2295,plain,
    ( spl0_10
  <=> ( $false
      = ( sK3 @ ( sK22 @ sK3 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

thf(f4427,plain,
    ( ( ( sK3 @ ( sK22 @ sK3 ) )
      = $true )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(boolean_simplification,[],[f4416]) ).

thf(f4416,plain,
    ( ( ( $true
       => ( sK3 @ ( sK22 @ sK3 ) ) )
      = $true )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f4322,f4397]) ).

thf(f4397,plain,
    ( ( ( sK30 @ sK3 @ ( sK22 @ sK3 ) )
      = $true )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(boolean_simplification,[],[f4388]) ).

thf(f4388,plain,
    ( ( ( $true
        & ( sK30 @ sK3 @ ( sK22 @ sK3 ) ) )
      = $true )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f4320,f4377]) ).

thf(f4377,plain,
    ( ( ( sK2 @ ( sK30 @ sK3 ) )
      = $true )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(binary_proxy_clausification,[],[f4320]) ).

thf(f4320,plain,
    ( ( ( ( sK2 @ ( sK30 @ sK3 ) )
        & ( sK30 @ sK3 @ ( sK22 @ sK3 ) ) )
      = $true )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(boolean_simplification,[],[f4306]) ).

thf(f4306,plain,
    ( ( ( ( sK2 @ ( sK30 @ sK3 ) )
        & ( sK30 @ sK3 @ ( sK22 @ sK3 ) )
        & $true )
      = $true )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f4265,f4282]) ).

thf(f4282,plain,
    ( ( ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK30 @ sK3 @ Y0 )
           => ( sK3 @ Y0 ) ) )
      = $true )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(binary_proxy_clausification,[],[f4265]) ).

thf(f4265,plain,
    ( ( ( ( sK2 @ ( sK30 @ sK3 ) )
        & ( sK30 @ sK3 @ ( sK22 @ sK3 ) )
        & ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK30 @ sK3 @ Y0 )
             => ( sK3 @ Y0 ) ) ) )
      = $true )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(beta_eta_normalization,[],[f4259]) ).

thf(f4259,plain,
    ( ( $true
      = ( ^ [Y0: a > $o] :
            ( ( sK2 @ Y0 )
            & ( Y0 @ ( sK22 @ sK3 ) )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( sK3 @ Y1 ) ) ) )
        @ ( sK30 @ sK3 ) ) )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(sigma_clausification,[],[f4242]) ).

thf(f4242,plain,
    ( ( ( ?? @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( sK2 @ Y0 )
            & ( Y0 @ ( sK22 @ sK3 ) )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( sK3 @ Y1 ) ) ) ) )
      = $true )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f4241]) ).

thf(f4241,plain,
    ( ( ( ?? @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( sK2 @ Y0 )
            & ( Y0 @ ( sK22 @ sK3 ) )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( sK3 @ Y1 ) ) ) ) )
      = $true )
    | ( $false = $true )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1859,f2297]) ).

thf(f1859,plain,
    ( ( ( sK3 @ ( sK22 @ sK3 ) )
      = $true )
    | ( ( ?? @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( sK2 @ Y0 )
            & ( Y0 @ ( sK22 @ sK3 ) )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( sK3 @ Y1 ) ) ) ) )
      = $true )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f1858]) ).

thf(f1858,plain,
    ( ( ( sK3 @ ( sK22 @ sK3 ) )
      = $true )
    | ( ( ?? @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( sK2 @ Y0 )
            & ( Y0 @ ( sK22 @ sK3 ) )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( sK3 @ Y1 ) ) ) ) )
      = $true )
    | ( $false = $true )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(boolean_simplification,[],[f1857]) ).

thf(f1857,plain,
    ( ( ( sK3 @ ( sK22 @ sK3 ) )
      = $true )
    | ( ( ?? @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( sK2 @ Y0 )
            & ( Y0 @ ( sK22 @ sK3 ) )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( sK3 @ Y1 ) ) ) ) )
      = $true )
    | ( ~ $false = $false )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(boolean_simplification,[],[f1856]) ).

thf(f1856,plain,
    ( ( ( sK3 @ ( sK22 @ sK3 ) )
      = $true )
    | ( ( ?? @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( sK2 @ Y0 )
            & ( Y0 @ ( sK22 @ sK3 ) )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( sK3 @ Y1 ) ) ) ) )
      = $true )
    | ( ( ~ ( $false
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( ( sK6 @ sK3 @ Y0 )
                 => ( sK3 @ Y0 ) ) ) ) )
      = $false )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(boolean_simplification,[],[f1852]) ).

thf(f1852,plain,
    ( ( ( sK3 @ ( sK22 @ sK3 ) )
      = $true )
    | ( ( ?? @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( sK2 @ Y0 )
            & ( Y0 @ ( sK22 @ sK3 ) )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( sK3 @ Y1 ) ) ) ) )
      = $true )
    | ( $false
      = ( ( $false
          & ( !! @ a
            @ ^ [Y0: a] :
                ( ( sK6 @ sK3 @ Y0 )
               => ( sK3 @ Y0 ) ) ) )
       => $false ) )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(superposition,[],[f871,f562]) ).

thf(f562,plain,
    ( ( $false
      = ( sK2 @ ( sK6 @ sK3 ) ) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f560]) ).

thf(f871,plain,
    ( ! [X0: a > $o] :
        ( ( ( ?? @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( sK2 @ Y0 )
                & ( Y0 @ ( sK22 @ X0 ) )
                & ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( X0 @ Y1 ) ) ) ) )
          = $true )
        | ( $false
          = ( ( ( sK2 @ ( sK6 @ X0 ) )
              & ( !! @ a
                @ ^ [Y0: a] :
                    ( ( sK6 @ X0 @ Y0 )
                   => ( X0 @ Y0 ) ) ) )
           => ( sK2 @ ( sK6 @ X0 ) ) ) )
        | ( ( sK3 @ ( sK22 @ X0 ) )
          = $true ) )
    | ~ spl0_3 ),
    inference(binary_proxy_clausification,[],[f858]) ).

thf(f858,plain,
    ( ! [X0: a > $o] :
        ( ( ( ?? @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( sK2 @ Y0 )
                & ( Y0 @ ( sK22 @ X0 ) )
                & ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( X0 @ Y1 ) ) ) ) )
         != ( sK3 @ ( sK22 @ X0 ) ) )
        | ( $false
          = ( ( ( sK2 @ ( sK6 @ X0 ) )
              & ( !! @ a
                @ ^ [Y0: a] :
                    ( ( sK6 @ X0 @ Y0 )
                   => ( X0 @ Y0 ) ) ) )
           => ( sK2 @ ( sK6 @ X0 ) ) ) ) )
    | ~ spl0_3 ),
    inference(beta_eta_normalization,[],[f857]) ).

thf(f857,plain,
    ( ! [X0: a > $o] :
        ( ( ( sK3 @ ( sK22 @ X0 ) )
         != ( ^ [Y0: a] :
                ( ?? @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( sK2 @ Y1 )
                    & ( Y1 @ Y0 )
                    & ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( Y1 @ Y2 )
                         => ( X0 @ Y2 ) ) ) ) )
            @ ( sK22 @ X0 ) ) )
        | ( $false
          = ( ( ( sK2 @ ( sK6 @ X0 ) )
              & ( !! @ a
                @ ^ [Y0: a] :
                    ( ( sK6 @ X0 @ Y0 )
                   => ( X0 @ Y0 ) ) ) )
           => ( sK2 @ ( sK6 @ X0 ) ) ) ) )
    | ~ spl0_3 ),
    inference(negative_extensionality,[],[f853]) ).

thf(f4322,plain,
    ( ! [X1: a] :
        ( ( ( sK30 @ sK3 @ X1 )
         => ( sK3 @ X1 ) )
        = $true )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(beta_eta_normalization,[],[f4307]) ).

thf(f4307,plain,
    ( ! [X1: a] :
        ( ( ^ [Y0: a] :
              ( ( sK30 @ sK3 @ Y0 )
             => ( sK3 @ Y0 ) )
          @ X1 )
        = $true )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(pi_clausification,[],[f4282]) ).

thf(f2691,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2690]) ).

thf(f2690,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(trivial_inequality_removal,[],[f2689]) ).

thf(f2689,plain,
    ( ( $false = $true )
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f2469,f2458]) ).

thf(f2458,plain,
    ( ( ( sK3 @ ( sK31 @ ( sK5 @ ( sK22 @ sK3 ) ) @ sK3 ) )
      = $false )
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(binary_proxy_clausification,[],[f2455]) ).

thf(f2455,plain,
    ( ( $false
      = ( ( sK5 @ ( sK22 @ sK3 ) @ ( sK31 @ ( sK5 @ ( sK22 @ sK3 ) ) @ sK3 ) )
       => ( sK3 @ ( sK31 @ ( sK5 @ ( sK22 @ sK3 ) ) @ sK3 ) ) ) )
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(beta_eta_normalization,[],[f2448]) ).

thf(f2448,plain,
    ( ( ( ^ [Y0: a] :
            ( ( sK5 @ ( sK22 @ sK3 ) @ Y0 )
           => ( sK3 @ Y0 ) )
        @ ( sK31 @ ( sK5 @ ( sK22 @ sK3 ) ) @ sK3 ) )
      = $false )
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(sigma_clausification,[],[f2408]) ).

thf(f2408,plain,
    ( ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK5 @ ( sK22 @ sK3 ) @ Y0 )
           => ( sK3 @ Y0 ) ) ) )
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f2400,f2296]) ).

thf(f2296,plain,
    ( ( $false
     != ( sK3 @ ( sK22 @ sK3 ) ) )
    | spl0_10 ),
    inference(avatar_component_clause,[],[f2295]) ).

thf(f2400,plain,
    ( ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK5 @ ( sK22 @ sK3 ) @ Y0 )
           => ( sK3 @ Y0 ) ) ) )
    | ( $false
      = ( sK3 @ ( sK22 @ sK3 ) ) )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(boolean_simplification,[],[f2340]) ).

thf(f2340,plain,
    ( ( $false
      = ( $true
        & ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK5 @ ( sK22 @ sK3 ) @ Y0 )
             => ( sK3 @ Y0 ) ) ) ) )
    | ( $false
      = ( sK3 @ ( sK22 @ sK3 ) ) )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f2293,f832]) ).

thf(f832,plain,
    ( ! [X0: a] :
        ( ( ( ( sK2 @ ( sK5 @ X0 ) )
            & ( sK5 @ X0 @ X0 ) )
          = $true )
        | ( ( sK3 @ X0 )
          = $false ) )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f831]) ).

thf(f831,plain,
    ( ! [X0: a] :
        ( ( ( $true
            & ( sK2 @ ( sK5 @ X0 ) )
            & ( sK5 @ X0 @ X0 ) )
          = $true )
        | ( ( sK3 @ X0 )
          = $false ) )
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f828]) ).

thf(f828,plain,
    ( ! [X0: a] :
        ( ( ( sK3 @ X0 )
          = $false )
        | ( ( sK3 @ X0 )
          = $false )
        | ( ( $true
            & ( sK2 @ ( sK5 @ X0 ) )
            & ( sK5 @ X0 @ X0 ) )
          = $true ) )
    | ~ spl0_2 ),
    inference(superposition,[],[f762,f805]) ).

thf(f805,plain,
    ( ! [X1: a] :
        ( ( $true
          = ( !! @ a
            @ ^ [Y0: a] :
                ( ( sK5 @ X1 @ Y0 )
               => ( sK4 @ X1 @ Y0 ) ) ) )
        | ( $false
          = ( sK3 @ X1 ) ) )
    | ~ spl0_2 ),
    inference(binary_proxy_clausification,[],[f777]) ).

thf(f777,plain,
    ( ! [X1: a] :
        ( ( ( ( !! @ a
              @ ^ [Y0: a] :
                  ( ( sK5 @ X1 @ Y0 )
                 => ( sK4 @ X1 @ Y0 ) ) )
            & ( sK2 @ ( sK5 @ X1 ) ) )
          = $true )
        | ( $false
          = ( sK3 @ X1 ) ) )
    | ~ spl0_2 ),
    inference(binary_proxy_clausification,[],[f762]) ).

thf(f762,plain,
    ( ! [X1: a] :
        ( ( ( ( !! @ a
              @ ^ [Y0: a] :
                  ( ( sK5 @ X1 @ Y0 )
                 => ( sK4 @ X1 @ Y0 ) ) )
            & ( sK2 @ ( sK5 @ X1 ) )
            & ( sK5 @ X1 @ X1 ) )
          = $true )
        | ( $false
          = ( sK3 @ X1 ) ) )
    | ~ spl0_2 ),
    inference(beta_eta_normalization,[],[f760]) ).

thf(f760,plain,
    ( ! [X1: a] :
        ( ( ( ^ [Y0: a > $o] :
                ( ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( sK4 @ X1 @ Y1 ) ) )
                & ( sK2 @ Y0 )
                & ( Y0 @ X1 ) )
            @ ( sK5 @ X1 ) )
          = $true )
        | ( $false
          = ( sK3 @ X1 ) ) )
    | ~ spl0_2 ),
    inference(sigma_clausification,[],[f705]) ).

thf(f705,plain,
    ( ! [X1: a] :
        ( ( ( ?? @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( sK4 @ X1 @ Y1 ) ) )
                & ( sK2 @ Y0 )
                & ( Y0 @ X1 ) ) )
          = $true )
        | ( $false
          = ( sK3 @ X1 ) ) )
    | ~ spl0_2 ),
    inference(binary_proxy_clausification,[],[f681]) ).

thf(f681,plain,
    ( ! [X1: a] :
        ( ( ( ( !! @ a
              @ ^ [Y0: a] :
                  ( ( sK4 @ X1 @ Y0 )
                 => ( sK3 @ Y0 ) ) )
            & ( ?? @ ( a > $o )
              @ ^ [Y0: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y1: a] :
                        ( ( Y0 @ Y1 )
                       => ( sK4 @ X1 @ Y1 ) ) )
                  & ( sK2 @ Y0 )
                  & ( Y0 @ X1 ) ) ) )
          = $true )
        | ( $false
          = ( sK3 @ X1 ) ) )
    | ~ spl0_2 ),
    inference(beta_eta_normalization,[],[f678]) ).

thf(f678,plain,
    ( ! [X1: a] :
        ( ( $false
          = ( sK3 @ X1 ) )
        | ( ( ^ [Y0: a > $o] :
                ( ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( sK3 @ Y1 ) ) )
                & ( ?? @ ( a > $o )
                  @ ^ [Y1: a > $o] :
                      ( ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( Y1 @ Y2 )
                           => ( Y0 @ Y2 ) ) )
                      & ( sK2 @ Y1 )
                      & ( Y1 @ X1 ) ) ) )
            @ ( sK4 @ X1 ) )
          = $true ) )
    | ~ spl0_2 ),
    inference(sigma_clausification,[],[f666]) ).

thf(f666,plain,
    ( ! [X1: a] :
        ( ( ( ?? @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( sK3 @ Y1 ) ) )
                & ( ?? @ ( a > $o )
                  @ ^ [Y1: a > $o] :
                      ( ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( Y1 @ Y2 )
                           => ( Y0 @ Y2 ) ) )
                      & ( sK2 @ Y1 )
                      & ( Y1 @ X1 ) ) ) ) )
          = $true )
        | ( $false
          = ( sK3 @ X1 ) ) )
    | ~ spl0_2 ),
    inference(binary_proxy_clausification,[],[f665]) ).

thf(f665,plain,
    ( ! [X1: a] :
        ( ( ( sK3 @ X1 )
         => ( ?? @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( sK3 @ Y1 ) ) )
                & ( ?? @ ( a > $o )
                  @ ^ [Y1: a > $o] :
                      ( ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( Y1 @ Y2 )
                           => ( Y0 @ Y2 ) ) )
                      & ( sK2 @ Y1 )
                      & ( Y1 @ X1 ) ) ) ) ) )
        = $true )
    | ~ spl0_2 ),
    inference(beta_eta_normalization,[],[f664]) ).

thf(f664,plain,
    ( ! [X1: a] :
        ( ( ^ [Y0: a] :
              ( ( sK3 @ Y0 )
             => ( ?? @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( Y1 @ Y2 )
                         => ( sK3 @ Y2 ) ) )
                    & ( ?? @ ( a > $o )
                      @ ^ [Y2: a > $o] :
                          ( ( !! @ a
                            @ ^ [Y3: a] :
                                ( ( Y2 @ Y3 )
                               => ( Y1 @ Y3 ) ) )
                          & ( sK2 @ Y2 )
                          & ( Y2 @ Y0 ) ) ) ) ) )
          @ X1 )
        = $true )
    | ~ spl0_2 ),
    inference(pi_clausification,[],[f36]) ).

thf(f36,plain,
    ( ( ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK3 @ Y0 )
           => ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( sK3 @ Y2 ) ) )
                  & ( ?? @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                             => ( Y1 @ Y3 ) ) )
                        & ( sK2 @ Y2 )
                        & ( Y2 @ Y0 ) ) ) ) ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f34]) ).

thf(f34,plain,
    ( spl0_2
  <=> ( ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK3 @ Y0 )
           => ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( sK3 @ Y2 ) ) )
                  & ( ?? @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                             => ( Y1 @ Y3 ) ) )
                        & ( sK2 @ Y2 )
                        & ( Y2 @ Y0 ) ) ) ) ) ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

thf(f2293,plain,
    ( ! [X0: a > $o] :
        ( $false
        = ( ( sK2 @ X0 )
          & ( X0 @ ( sK22 @ sK3 ) )
          & ( !! @ a
            @ ^ [Y0: a] :
                ( ( X0 @ Y0 )
               => ( sK3 @ Y0 ) ) ) ) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f2292]) ).

thf(f2292,plain,
    ( spl0_9
  <=> ! [X0: a > $o] :
        ( $false
        = ( ( sK2 @ X0 )
          & ( X0 @ ( sK22 @ sK3 ) )
          & ( !! @ a
            @ ^ [Y0: a] :
                ( ( X0 @ Y0 )
               => ( sK3 @ Y0 ) ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

thf(f2469,plain,
    ( ( ( sK3 @ ( sK31 @ ( sK5 @ ( sK22 @ sK3 ) ) @ sK3 ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f2466,f2296]) ).

thf(f2466,plain,
    ( ( ( sK3 @ ( sK31 @ ( sK5 @ ( sK22 @ sK3 ) ) @ sK3 ) )
      = $true )
    | ( $false
      = ( sK3 @ ( sK22 @ sK3 ) ) )
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(trivial_inequality_removal,[],[f2465]) ).

thf(f2465,plain,
    ( ( $false
      = ( sK3 @ ( sK22 @ sK3 ) ) )
    | ( $false = $true )
    | ( ( sK3 @ ( sK31 @ ( sK5 @ ( sK22 @ sK3 ) ) @ sK3 ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(boolean_simplification,[],[f2461]) ).

thf(f2461,plain,
    ( ( $false
      = ( sK3 @ ( sK22 @ sK3 ) ) )
    | ( ( sK3 @ ( sK31 @ ( sK5 @ ( sK22 @ sK3 ) ) @ sK3 ) )
      = $true )
    | ( $false
      = ( $false
       => ( sK3 @ ( sK31 @ ( sK5 @ ( sK22 @ sK3 ) ) @ sK3 ) ) ) )
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2455,f1249]) ).

thf(f1249,plain,
    ( ! [X0: a,X1: a] :
        ( ( ( sK5 @ X0 @ X1 )
          = $false )
        | ( ( sK3 @ X1 )
          = $true )
        | ( ( sK3 @ X0 )
          = $false ) )
    | ~ spl0_2 ),
    inference(not_proxy_clausification,[],[f958]) ).

thf(f958,plain,
    ( ! [X0: a,X1: a] :
        ( ( ( ~ ( sK5 @ X0 @ X1 ) )
          = $true )
        | ( ( sK3 @ X0 )
          = $false )
        | ( ( sK3 @ X1 )
          = $true ) )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f957]) ).

thf(f957,plain,
    ( ! [X0: a,X1: a] :
        ( ( ( ( sK5 @ X0 @ X1 )
           => $false )
          = $true )
        | ( ( sK3 @ X0 )
          = $false )
        | ( ( sK3 @ X1 )
          = $true ) )
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f944]) ).

thf(f944,plain,
    ( ! [X0: a,X1: a] :
        ( ( ( sK3 @ X0 )
          = $false )
        | ( ( ( sK5 @ X0 @ X1 )
           => $false )
          = $true )
        | ( ( sK3 @ X0 )
          = $false )
        | ( ( sK3 @ X1 )
          = $true ) )
    | ~ spl0_2 ),
    inference(superposition,[],[f830,f797]) ).

thf(f797,plain,
    ( ! [X2: a,X1: a] :
        ( ( $false
          = ( sK4 @ X1 @ X2 ) )
        | ( ( sK3 @ X2 )
          = $true )
        | ( $false
          = ( sK3 @ X1 ) ) )
    | ~ spl0_2 ),
    inference(binary_proxy_clausification,[],[f753]) ).

thf(f753,plain,
    ( ! [X2: a,X1: a] :
        ( ( ( ( sK4 @ X1 @ X2 )
           => ( sK3 @ X2 ) )
          = $true )
        | ( $false
          = ( sK3 @ X1 ) ) )
    | ~ spl0_2 ),
    inference(beta_eta_normalization,[],[f751]) ).

thf(f751,plain,
    ( ! [X2: a,X1: a] :
        ( ( ( ^ [Y0: a] :
                ( ( sK4 @ X1 @ Y0 )
               => ( sK3 @ Y0 ) )
            @ X2 )
          = $true )
        | ( $false
          = ( sK3 @ X1 ) ) )
    | ~ spl0_2 ),
    inference(pi_clausification,[],[f706]) ).

thf(f706,plain,
    ( ! [X1: a] :
        ( ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( sK4 @ X1 @ Y0 )
               => ( sK3 @ Y0 ) ) )
          = $true )
        | ( $false
          = ( sK3 @ X1 ) ) )
    | ~ spl0_2 ),
    inference(binary_proxy_clausification,[],[f681]) ).

thf(f830,plain,
    ( ! [X2: a,X1: a] :
        ( ( ( ( sK5 @ X1 @ X2 )
           => ( sK4 @ X1 @ X2 ) )
          = $true )
        | ( $false
          = ( sK3 @ X1 ) ) )
    | ~ spl0_2 ),
    inference(beta_eta_normalization,[],[f827]) ).

thf(f827,plain,
    ( ! [X2: a,X1: a] :
        ( ( ( ^ [Y0: a] :
                ( ( sK5 @ X1 @ Y0 )
               => ( sK4 @ X1 @ Y0 ) )
            @ X2 )
          = $true )
        | ( $false
          = ( sK3 @ X1 ) ) )
    | ~ spl0_2 ),
    inference(pi_clausification,[],[f805]) ).

thf(f2298,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f2260,f560,f151,f2295,f2292]) ).

thf(f2260,plain,
    ( ! [X0: a > $o] :
        ( ( $false
          = ( sK3 @ ( sK22 @ sK3 ) ) )
        | ( $false
          = ( ( sK2 @ X0 )
            & ( X0 @ ( sK22 @ sK3 ) )
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( ( X0 @ Y0 )
                 => ( sK3 @ Y0 ) ) ) ) ) )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2259]) ).

thf(f2259,plain,
    ( ! [X0: a > $o] :
        ( ( $false
          = ( sK3 @ ( sK22 @ sK3 ) ) )
        | ( $false = $true )
        | ( $false
          = ( ( sK2 @ X0 )
            & ( X0 @ ( sK22 @ sK3 ) )
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( ( X0 @ Y0 )
                 => ( sK3 @ Y0 ) ) ) ) ) )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(boolean_simplification,[],[f2258]) ).

thf(f2258,plain,
    ( ! [X0: a > $o] :
        ( ( ~ $false = $false )
        | ( $false
          = ( ( sK2 @ X0 )
            & ( X0 @ ( sK22 @ sK3 ) )
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( ( X0 @ Y0 )
                 => ( sK3 @ Y0 ) ) ) ) )
        | ( $false
          = ( sK3 @ ( sK22 @ sK3 ) ) ) )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(boolean_simplification,[],[f2257]) ).

thf(f2257,plain,
    ( ! [X0: a > $o] :
        ( ( $false
          = ( sK3 @ ( sK22 @ sK3 ) ) )
        | ( ( ~ ( $false
                & ( !! @ a
                  @ ^ [Y0: a] :
                      ( ( sK6 @ sK3 @ Y0 )
                     => ( sK3 @ Y0 ) ) ) ) )
          = $false )
        | ( $false
          = ( ( sK2 @ X0 )
            & ( X0 @ ( sK22 @ sK3 ) )
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( ( X0 @ Y0 )
                 => ( sK3 @ Y0 ) ) ) ) ) )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(boolean_simplification,[],[f2135]) ).

thf(f2135,plain,
    ( ! [X0: a > $o] :
        ( ( $false
          = ( ( $false
              & ( !! @ a
                @ ^ [Y0: a] :
                    ( ( sK6 @ sK3 @ Y0 )
                   => ( sK3 @ Y0 ) ) ) )
           => $false ) )
        | ( $false
          = ( ( sK2 @ X0 )
            & ( X0 @ ( sK22 @ sK3 ) )
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( ( X0 @ Y0 )
                 => ( sK3 @ Y0 ) ) ) ) )
        | ( $false
          = ( sK3 @ ( sK22 @ sK3 ) ) ) )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(superposition,[],[f1485,f562]) ).

thf(f1485,plain,
    ( ! [X0: a > $o,X1: a > $o] :
        ( ( $false
          = ( ( ( sK2 @ ( sK6 @ X0 ) )
              & ( !! @ a
                @ ^ [Y0: a] :
                    ( ( sK6 @ X0 @ Y0 )
                   => ( X0 @ Y0 ) ) ) )
           => ( sK2 @ ( sK6 @ X0 ) ) ) )
        | ( $false
          = ( ( sK2 @ X1 )
            & ( X1 @ ( sK22 @ X0 ) )
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( ( X1 @ Y0 )
                 => ( X0 @ Y0 ) ) ) ) )
        | ( $false
          = ( sK3 @ ( sK22 @ X0 ) ) ) )
    | ~ spl0_3 ),
    inference(beta_eta_normalization,[],[f1473]) ).

thf(f1473,plain,
    ( ! [X0: a > $o,X1: a > $o] :
        ( ( $false
          = ( sK3 @ ( sK22 @ X0 ) ) )
        | ( $false
          = ( ( ( sK2 @ ( sK6 @ X0 ) )
              & ( !! @ a
                @ ^ [Y0: a] :
                    ( ( sK6 @ X0 @ Y0 )
                   => ( X0 @ Y0 ) ) ) )
           => ( sK2 @ ( sK6 @ X0 ) ) ) )
        | ( $false
          = ( ^ [Y0: a > $o] :
                ( ( sK2 @ Y0 )
                & ( Y0 @ ( sK22 @ X0 ) )
                & ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( X0 @ Y1 ) ) ) )
            @ X1 ) ) )
    | ~ spl0_3 ),
    inference(pi_clausification,[],[f872]) ).

thf(f872,plain,
    ( ! [X0: a > $o] :
        ( ( $false
          = ( ?? @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( sK2 @ Y0 )
                & ( Y0 @ ( sK22 @ X0 ) )
                & ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( X0 @ Y1 ) ) ) ) ) )
        | ( $false
          = ( ( ( sK2 @ ( sK6 @ X0 ) )
              & ( !! @ a
                @ ^ [Y0: a] :
                    ( ( sK6 @ X0 @ Y0 )
                   => ( X0 @ Y0 ) ) ) )
           => ( sK2 @ ( sK6 @ X0 ) ) ) )
        | ( $false
          = ( sK3 @ ( sK22 @ X0 ) ) ) )
    | ~ spl0_3 ),
    inference(binary_proxy_clausification,[],[f858]) ).

thf(f1807,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1806]) ).

thf(f1806,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1805]) ).

thf(f1805,plain,
    ( ( $false = $true )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1804,f1751]) ).

thf(f1751,plain,
    ( ( $false
      = ( sK3 @ ( sK31 @ ( sK5 @ ( sK23 @ sK3 ) ) @ sK3 ) ) )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(binary_proxy_clausification,[],[f1692]) ).

thf(f1692,plain,
    ( ( $false
      = ( ( sK5 @ ( sK23 @ sK3 ) @ ( sK31 @ ( sK5 @ ( sK23 @ sK3 ) ) @ sK3 ) )
       => ( sK3 @ ( sK31 @ ( sK5 @ ( sK23 @ sK3 ) ) @ sK3 ) ) ) )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(beta_eta_normalization,[],[f1690]) ).

thf(f1690,plain,
    ( ( $false
      = ( ^ [Y0: a] :
            ( ( sK5 @ ( sK23 @ sK3 ) @ Y0 )
           => ( sK3 @ Y0 ) )
        @ ( sK31 @ ( sK5 @ ( sK23 @ sK3 ) ) @ sK3 ) ) )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(sigma_clausification,[],[f1689]) ).

thf(f1689,plain,
    ( ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK5 @ ( sK23 @ sK3 ) @ Y0 )
           => ( sK3 @ Y0 ) ) ) )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(boolean_simplification,[],[f1688]) ).

thf(f1688,plain,
    ( ( $false
      = ( $true
        & ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK5 @ ( sK23 @ sK3 ) @ Y0 )
             => ( sK3 @ Y0 ) ) ) ) )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1687,f1599]) ).

thf(f1599,plain,
    ( ( ( sK2 @ ( sK5 @ ( sK23 @ sK3 ) ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(binary_proxy_clausification,[],[f1554]) ).

thf(f1554,plain,
    ( ( ( ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK5 @ ( sK23 @ sK3 ) @ Y0 )
             => ( sK4 @ ( sK23 @ sK3 ) @ Y0 ) ) )
        & ( sK2 @ ( sK5 @ ( sK23 @ sK3 ) ) ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(binary_proxy_clausification,[],[f1540]) ).

thf(f1540,plain,
    ( ( ( ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK5 @ ( sK23 @ sK3 ) @ Y0 )
             => ( sK4 @ ( sK23 @ sK3 ) @ Y0 ) ) )
        & ( sK2 @ ( sK5 @ ( sK23 @ sK3 ) ) )
        & ( sK5 @ ( sK23 @ sK3 ) @ ( sK23 @ sK3 ) ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(beta_eta_normalization,[],[f1538]) ).

thf(f1538,plain,
    ( ( ( ^ [Y0: a > $o] :
            ( ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( sK4 @ ( sK23 @ sK3 ) @ Y1 ) ) )
            & ( sK2 @ Y0 )
            & ( Y0 @ ( sK23 @ sK3 ) ) )
        @ ( sK5 @ ( sK23 @ sK3 ) ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(sigma_clausification,[],[f1523]) ).

thf(f1523,plain,
    ( ( ( ?? @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( sK4 @ ( sK23 @ sK3 ) @ Y1 ) ) )
            & ( sK2 @ Y0 )
            & ( Y0 @ ( sK23 @ sK3 ) ) ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(boolean_simplification,[],[f1517]) ).

thf(f1517,plain,
    ( ( $true
      = ( $true
        & ( ?? @ ( a > $o )
          @ ^ [Y0: a > $o] :
              ( ( !! @ a
                @ ^ [Y1: a] :
                    ( ( Y0 @ Y1 )
                   => ( sK4 @ ( sK23 @ sK3 ) @ Y1 ) ) )
              & ( sK2 @ Y0 )
              & ( Y0 @ ( sK23 @ sK3 ) ) ) ) ) )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f1472,f1497]) ).

thf(f1497,plain,
    ( ( ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK4 @ ( sK23 @ sK3 ) @ Y0 )
           => ( sK3 @ Y0 ) ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(binary_proxy_clausification,[],[f1472]) ).

thf(f1472,plain,
    ( ( ( ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK4 @ ( sK23 @ sK3 ) @ Y0 )
             => ( sK3 @ Y0 ) ) )
        & ( ?? @ ( a > $o )
          @ ^ [Y0: a > $o] :
              ( ( !! @ a
                @ ^ [Y1: a] :
                    ( ( Y0 @ Y1 )
                   => ( sK4 @ ( sK23 @ sK3 ) @ Y1 ) ) )
              & ( sK2 @ Y0 )
              & ( Y0 @ ( sK23 @ sK3 ) ) ) ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(beta_eta_normalization,[],[f1469]) ).

thf(f1469,plain,
    ( ( ( ^ [Y0: a > $o] :
            ( ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( sK3 @ Y1 ) ) )
            & ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( Y0 @ Y2 ) ) )
                  & ( sK2 @ Y1 )
                  & ( Y1 @ ( sK23 @ sK3 ) ) ) ) )
        @ ( sK4 @ ( sK23 @ sK3 ) ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(sigma_clausification,[],[f1459]) ).

thf(f1459,plain,
    ( ( ( ?? @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( sK3 @ Y1 ) ) )
            & ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( Y0 @ Y2 ) ) )
                  & ( sK2 @ Y1 )
                  & ( Y1 @ ( sK23 @ sK3 ) ) ) ) ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(boolean_simplification,[],[f1451]) ).

thf(f1451,plain,
    ( ( ( $true
       => ( ?? @ ( a > $o )
          @ ^ [Y0: a > $o] :
              ( ( !! @ a
                @ ^ [Y1: a] :
                    ( ( Y0 @ Y1 )
                   => ( sK3 @ Y1 ) ) )
              & ( ?? @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( Y1 @ Y2 )
                         => ( Y0 @ Y2 ) ) )
                    & ( sK2 @ Y1 )
                    & ( Y1 @ ( sK23 @ sK3 ) ) ) ) ) ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f665,f1447]) ).

thf(f1447,plain,
    ( ( ( sK3 @ ( sK23 @ sK3 ) )
      = $true )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f1445]) ).

thf(f1687,plain,
    ( ( $false
      = ( ( sK2 @ ( sK5 @ ( sK23 @ sK3 ) ) )
        & ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK5 @ ( sK23 @ sK3 ) @ Y0 )
             => ( sK3 @ Y0 ) ) ) ) )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1686]) ).

thf(f1686,plain,
    ( ( $false
      = ( ( sK2 @ ( sK5 @ ( sK23 @ sK3 ) ) )
        & ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK5 @ ( sK23 @ sK3 ) @ Y0 )
             => ( sK3 @ Y0 ) ) ) ) )
    | ( $false = $true )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1685,f1447]) ).

thf(f1685,plain,
    ( ( $false
      = ( sK3 @ ( sK23 @ sK3 ) ) )
    | ( $false
      = ( ( sK2 @ ( sK5 @ ( sK23 @ sK3 ) ) )
        & ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK5 @ ( sK23 @ sK3 ) @ Y0 )
             => ( sK3 @ Y0 ) ) ) ) )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1680,f561]) ).

thf(f1680,plain,
    ( ( $false
      = ( sK2 @ ( sK6 @ sK3 ) ) )
    | ( $false
      = ( ( sK2 @ ( sK5 @ ( sK23 @ sK3 ) ) )
        & ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK5 @ ( sK23 @ sK3 ) @ Y0 )
             => ( sK3 @ Y0 ) ) ) ) )
    | ( $false
      = ( sK3 @ ( sK23 @ sK3 ) ) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(boolean_simplification,[],[f1669]) ).

thf(f1669,plain,
    ( ( $false
      = ( sK3 @ ( sK23 @ sK3 ) ) )
    | ( $false
      = ( ( sK2 @ ( sK5 @ ( sK23 @ sK3 ) ) )
        & $true
        & ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK5 @ ( sK23 @ sK3 ) @ Y0 )
             => ( sK3 @ Y0 ) ) ) ) )
    | ( $false
      = ( sK2 @ ( sK6 @ sK3 ) ) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f1039,f1612]) ).

thf(f1612,plain,
    ( ( ( sK5 @ ( sK23 @ sK3 ) @ ( sK23 @ sK3 ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(boolean_simplification,[],[f1598]) ).

thf(f1598,plain,
    ( ( ( $true
        & ( sK5 @ ( sK23 @ sK3 ) @ ( sK23 @ sK3 ) ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f1540,f1554]) ).

thf(f1039,plain,
    ( ! [X0: a > $o,X1: a > $o] :
        ( ( $false
          = ( ( sK2 @ X1 )
            & ( X1 @ ( sK23 @ X0 ) )
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( ( X1 @ Y0 )
                 => ( X0 @ Y0 ) ) ) ) )
        | ( $false
          = ( sK3 @ ( sK23 @ X0 ) ) )
        | ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) ) )
    | ~ spl0_3 ),
    inference(beta_eta_normalization,[],[f1032]) ).

thf(f1032,plain,
    ( ! [X0: a > $o,X1: a > $o] :
        ( ( $false
          = ( ^ [Y0: a > $o] :
                ( ( sK2 @ Y0 )
                & ( Y0 @ ( sK23 @ X0 ) )
                & ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( X0 @ Y1 ) ) ) )
            @ X1 ) )
        | ( $false
          = ( sK3 @ ( sK23 @ X0 ) ) )
        | ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) ) )
    | ~ spl0_3 ),
    inference(pi_clausification,[],[f862]) ).

thf(f862,plain,
    ( ! [X0: a > $o] :
        ( ( $false
          = ( ?? @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( sK2 @ Y0 )
                & ( Y0 @ ( sK23 @ X0 ) )
                & ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( X0 @ Y1 ) ) ) ) ) )
        | ( $false
          = ( sK2 @ ( sK6 @ X0 ) ) )
        | ( $false
          = ( sK3 @ ( sK23 @ X0 ) ) ) )
    | ~ spl0_3 ),
    inference(binary_proxy_clausification,[],[f860]) ).

thf(f1804,plain,
    ( ( ( sK3 @ ( sK31 @ ( sK5 @ ( sK23 @ sK3 ) ) @ sK3 ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1803]) ).

thf(f1803,plain,
    ( ( $false = $true )
    | ( ( sK3 @ ( sK31 @ ( sK5 @ ( sK23 @ sK3 ) ) @ sK3 ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1788,f1447]) ).

thf(f1788,plain,
    ( ( $false
      = ( sK3 @ ( sK23 @ sK3 ) ) )
    | ( ( sK3 @ ( sK31 @ ( sK5 @ ( sK23 @ sK3 ) ) @ sK3 ) )
      = $true )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1787]) ).

thf(f1787,plain,
    ( ( $false
      = ( sK3 @ ( sK23 @ sK3 ) ) )
    | ( ( sK3 @ ( sK31 @ ( sK5 @ ( sK23 @ sK3 ) ) @ sK3 ) )
      = $true )
    | ( $false = $true )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f958,f1775]) ).

thf(f1775,plain,
    ( ( $false
      = ( ~ ( sK5 @ ( sK23 @ sK3 ) @ ( sK31 @ ( sK5 @ ( sK23 @ sK3 ) ) @ sK3 ) ) ) )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(boolean_simplification,[],[f1766]) ).

thf(f1766,plain,
    ( ( $false
      = ( ( sK5 @ ( sK23 @ sK3 ) @ ( sK31 @ ( sK5 @ ( sK23 @ sK3 ) ) @ sK3 ) )
       => $false ) )
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f1692,f1751]) ).

thf(f663,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f662]) ).

thf(f662,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f661]) ).

thf(f661,plain,
    ( ( $false = $true )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(beta_eta_normalization,[],[f660]) ).

thf(f660,plain,
    ( ( ( ^ [Y0: a] : $true
        @ sK20 )
      = $false )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(sigma_clausification,[],[f645]) ).

thf(f645,plain,
    ( ( $false
      = ( !! @ a
        @ ^ [Y0: a] : $true ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(boolean_simplification,[],[f644]) ).

thf(f644,plain,
    ( ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK3 @ Y0 )
           => ( sK3 @ Y0 ) ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f639]) ).

thf(f639,plain,
    ( ( $false != $false )
    | ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK3 @ Y0 )
           => ( sK3 @ Y0 ) ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(equality_factoring,[],[f628]) ).

thf(f628,plain,
    ( ! [X0: a > $o] :
        ( ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( X0 @ Y0 )
               => ( sK3 @ Y0 ) ) )
          = $false )
        | ( $false
          = ( !! @ a
            @ ^ [Y0: a] :
                ( ( sK3 @ Y0 )
               => ( X0 @ Y0 ) ) ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(boolean_simplification,[],[f627]) ).

thf(f627,plain,
    ( ! [X0: a > $o] :
        ( ( $false
          = ( ( !! @ a
              @ ^ [Y0: a] :
                  ( ( sK3 @ Y0 )
                 => ( X0 @ Y0 ) ) )
            & $true ) )
        | ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( X0 @ Y0 )
               => ( sK3 @ Y0 ) ) )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f622,f577]) ).

thf(f577,plain,
    ( ( ( sK3 @ sK18 )
      = $true )
    | ~ spl0_4 ),
    inference(binary_proxy_clausification,[],[f570]) ).

thf(f570,plain,
    ( ( $false
      = ( ( sK3 @ sK18 )
       => ( ?? @ ( a > $o )
          @ ^ [Y0: a > $o] :
              ( ( !! @ a
                @ ^ [Y1: a] :
                    ( ( Y0 @ Y1 )
                   => ( sK3 @ Y1 ) ) )
              & ( ?? @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( Y1 @ Y2 )
                         => ( Y0 @ Y2 ) ) )
                    & ( sK2 @ Y1 )
                    & ( Y1 @ sK18 ) ) ) ) ) ) )
    | ~ spl0_4 ),
    inference(beta_eta_normalization,[],[f569]) ).

thf(f569,plain,
    ( ( $false
      = ( ^ [Y0: a] :
            ( ( sK3 @ Y0 )
           => ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( sK3 @ Y2 ) ) )
                  & ( ?? @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                             => ( Y1 @ Y3 ) ) )
                        & ( sK2 @ Y2 )
                        & ( Y2 @ Y0 ) ) ) ) ) )
        @ sK18 ) )
    | ~ spl0_4 ),
    inference(sigma_clausification,[],[f157]) ).

thf(f157,plain,
    ( ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK3 @ Y0 )
           => ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( sK3 @ Y2 ) ) )
                  & ( ?? @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                             => ( Y1 @ Y3 ) ) )
                        & ( sK2 @ Y2 )
                        & ( Y2 @ Y0 ) ) ) ) ) ) ) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f155]) ).

thf(f155,plain,
    ( spl0_4
  <=> ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK3 @ Y0 )
           => ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( sK3 @ Y2 ) ) )
                  & ( ?? @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                             => ( Y1 @ Y3 ) ) )
                        & ( sK2 @ Y2 )
                        & ( Y2 @ Y0 ) ) ) ) ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

thf(f622,plain,
    ( ! [X0: a > $o] :
        ( ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( X0 @ Y0 )
               => ( sK3 @ Y0 ) ) )
          = $false )
        | ( $false
          = ( ( !! @ a
              @ ^ [Y0: a] :
                  ( ( sK3 @ Y0 )
                 => ( X0 @ Y0 ) ) )
            & ( sK3 @ sK18 ) ) ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(boolean_simplification,[],[f597]) ).

thf(f597,plain,
    ( ! [X0: a > $o] :
        ( ( $false
          = ( ( !! @ a
              @ ^ [Y0: a] :
                  ( ( sK3 @ Y0 )
                 => ( X0 @ Y0 ) ) )
            & $true
            & ( sK3 @ sK18 ) ) )
        | ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( X0 @ Y0 )
               => ( sK3 @ Y0 ) ) )
          = $false ) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f592,f32]) ).

thf(f592,plain,
    ( ! [X2: a > $o,X1: a > $o] :
        ( ( $false
          = ( ( !! @ a
              @ ^ [Y0: a] :
                  ( ( X2 @ Y0 )
                 => ( X1 @ Y0 ) ) )
            & ( sK2 @ X2 )
            & ( X2 @ sK18 ) ) )
        | ( $false
          = ( !! @ a
            @ ^ [Y0: a] :
                ( ( X1 @ Y0 )
               => ( sK3 @ Y0 ) ) ) ) )
    | ~ spl0_4 ),
    inference(beta_eta_normalization,[],[f590]) ).

thf(f590,plain,
    ( ! [X2: a > $o,X1: a > $o] :
        ( ( $false
          = ( !! @ a
            @ ^ [Y0: a] :
                ( ( X1 @ Y0 )
               => ( sK3 @ Y0 ) ) ) )
        | ( $false
          = ( ^ [Y0: a > $o] :
                ( ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( X1 @ Y1 ) ) )
                & ( sK2 @ Y0 )
                & ( Y0 @ sK18 ) )
            @ X2 ) ) )
    | ~ spl0_4 ),
    inference(pi_clausification,[],[f586]) ).

thf(f586,plain,
    ( ! [X1: a > $o] :
        ( ( $false
          = ( ?? @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( X1 @ Y1 ) ) )
                & ( sK2 @ Y0 )
                & ( Y0 @ sK18 ) ) ) )
        | ( $false
          = ( !! @ a
            @ ^ [Y0: a] :
                ( ( X1 @ Y0 )
               => ( sK3 @ Y0 ) ) ) ) )
    | ~ spl0_4 ),
    inference(binary_proxy_clausification,[],[f583]) ).

thf(f583,plain,
    ( ! [X1: a > $o] :
        ( $false
        = ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( X1 @ Y0 )
               => ( sK3 @ Y0 ) ) )
          & ( ?? @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( X1 @ Y1 ) ) )
                & ( sK2 @ Y0 )
                & ( Y0 @ sK18 ) ) ) ) )
    | ~ spl0_4 ),
    inference(beta_eta_normalization,[],[f582]) ).

thf(f582,plain,
    ( ! [X1: a > $o] :
        ( $false
        = ( ^ [Y0: a > $o] :
              ( ( !! @ a
                @ ^ [Y1: a] :
                    ( ( Y0 @ Y1 )
                   => ( sK3 @ Y1 ) ) )
              & ( ?? @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( Y1 @ Y2 )
                         => ( Y0 @ Y2 ) ) )
                    & ( sK2 @ Y1 )
                    & ( Y1 @ sK18 ) ) ) )
          @ X1 ) )
    | ~ spl0_4 ),
    inference(pi_clausification,[],[f581]) ).

thf(f581,plain,
    ( ( ( ?? @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( sK3 @ Y1 ) ) )
            & ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( Y0 @ Y2 ) ) )
                  & ( sK2 @ Y1 )
                  & ( Y1 @ sK18 ) ) ) ) )
      = $false )
    | ~ spl0_4 ),
    inference(boolean_simplification,[],[f578]) ).

thf(f578,plain,
    ( ( $false
      = ( $true
       => ( ?? @ ( a > $o )
          @ ^ [Y0: a > $o] :
              ( ( !! @ a
                @ ^ [Y1: a] :
                    ( ( Y0 @ Y1 )
                   => ( sK3 @ Y1 ) ) )
              & ( ?? @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( Y1 @ Y2 )
                         => ( Y0 @ Y2 ) ) )
                    & ( sK2 @ Y1 )
                    & ( Y1 @ sK18 ) ) ) ) ) ) )
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f570,f577]) ).

thf(f572,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f571]) ).

thf(f571,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f568]) ).

thf(f568,plain,
    ( ( $false = $true )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f36,f157]) ).

thf(f158,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f20,f155,f151]) ).

thf(f20,plain,
    ( ( $false
      = ( sK2 @ sK3 ) )
    | ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK3 @ Y0 )
           => ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( sK3 @ Y2 ) ) )
                  & ( ?? @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                             => ( Y1 @ Y3 ) ) )
                        & ( sK2 @ Y2 )
                        & ( Y2 @ Y0 ) ) ) ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f17]) ).

thf(f17,plain,
    ( ( !! @ a
      @ ^ [Y0: a] :
          ( ( sK3 @ Y0 )
         => ( ?? @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                     => ( sK3 @ Y2 ) ) )
                & ( ?? @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( Y2 @ Y3 )
                           => ( Y1 @ Y3 ) ) )
                      & ( sK2 @ Y2 )
                      & ( Y2 @ Y0 ) ) ) ) ) ) )
   != ( sK2 @ sK3 ) ),
    inference(binary_proxy_clausification,[],[f16]) ).

thf(f16,plain,
    ( ( ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK3 @ Y0 )
           => ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( sK3 @ Y2 ) ) )
                  & ( ?? @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                             => ( Y1 @ Y3 ) ) )
                        & ( sK2 @ Y2 )
                        & ( Y2 @ Y0 ) ) ) ) ) ) )
      = ( sK2 @ sK3 ) )
    = $false ),
    inference(beta_eta_normalization,[],[f15]) ).

thf(f15,plain,
    ( $false
    = ( ^ [Y0: a > $o] :
          ( ( !! @ a
            @ ^ [Y1: a] :
                ( ( Y0 @ Y1 )
               => ( ?? @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( Y2 @ Y3 )
                           => ( Y0 @ Y3 ) ) )
                      & ( ?? @ ( a > $o )
                        @ ^ [Y3: a > $o] :
                            ( ( !! @ a
                              @ ^ [Y4: a] :
                                  ( ( Y3 @ Y4 )
                                 => ( Y2 @ Y4 ) ) )
                            & ( sK2 @ Y3 )
                            & ( Y3 @ Y1 ) ) ) ) ) ) )
          = ( sK2 @ Y0 ) )
      @ sK3 ) ),
    inference(sigma_clausification,[],[f12]) ).

thf(f37,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f19,f34,f30]) ).

thf(f19,plain,
    ( ( ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK3 @ Y0 )
           => ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( sK3 @ Y2 ) ) )
                  & ( ?? @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                             => ( Y1 @ Y3 ) ) )
                        & ( sK2 @ Y2 )
                        & ( Y2 @ Y0 ) ) ) ) ) ) )
      = $true )
    | ( ( sK2 @ sK3 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SEV267^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37  % Computer : n007.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sun May 19 19:04:08 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a TH0_THM_EQU_NAR problem
% 0.16/0.38  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
% 0.16/0.40  % (5075)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.40  % (5071)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)
% 0.16/0.40  % (5070)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)
% 0.16/0.40  % (5071)Refutation not found, incomplete strategy
% 0.16/0.40  % (5071)------------------------------
% 0.16/0.40  % (5071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (5071)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.40  
% 0.16/0.40  
% 0.16/0.40  % (5071)Memory used [KB]: 5500
% 0.16/0.40  % (5071)Time elapsed: 0.006 s
% 0.16/0.40  % (5071)Instructions burned: 7 (million)
% 0.16/0.40  % (5071)------------------------------
% 0.16/0.40  % (5071)------------------------------
% 0.16/0.40  % (5070)Instruction limit reached!
% 0.16/0.40  % (5070)------------------------------
% 0.16/0.40  % (5070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (5070)Termination reason: Unknown
% 0.16/0.40  % (5070)Termination phase: Saturation
% 0.16/0.40  
% 0.16/0.40  % (5070)Memory used [KB]: 5500
% 0.16/0.40  % (5070)Time elapsed: 0.003 s
% 0.16/0.40  % (5070)Instructions burned: 4 (million)
% 0.16/0.40  % (5070)------------------------------
% 0.16/0.40  % (5070)------------------------------
% 0.16/0.40  % (5073)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)
% 0.16/0.40  % (5072)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.40  % (5073)Instruction limit reached!
% 0.16/0.40  % (5073)------------------------------
% 0.16/0.40  % (5073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (5072)Instruction limit reached!
% 0.16/0.40  % (5072)------------------------------
% 0.16/0.40  % (5072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (5072)Termination reason: Unknown
% 0.16/0.40  % (5072)Termination phase: Preprocessing 1
% 0.16/0.40  
% 0.16/0.40  % (5072)Memory used [KB]: 895
% 0.16/0.40  % (5072)Time elapsed: 0.002 s
% 0.16/0.40  % (5072)Instructions burned: 2 (million)
% 0.16/0.40  % (5072)------------------------------
% 0.16/0.40  % (5072)------------------------------
% 0.16/0.40  % (5073)Termination reason: Unknown
% 0.16/0.40  % (5073)Termination phase: Property scanning
% 0.16/0.40  
% 0.16/0.40  % (5073)Memory used [KB]: 895
% 0.16/0.40  % (5073)Time elapsed: 0.003 s
% 0.16/0.40  % (5073)Instructions burned: 2 (million)
% 0.16/0.40  % (5073)------------------------------
% 0.16/0.40  % (5073)------------------------------
% 0.16/0.40  % (5069)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.41  % (5075)Instruction limit reached!
% 0.16/0.41  % (5075)------------------------------
% 0.16/0.41  % (5075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41  % (5075)Termination reason: Unknown
% 0.16/0.41  % (5075)Termination phase: Saturation
% 0.16/0.41  
% 0.16/0.41  % (5075)Memory used [KB]: 5628
% 0.16/0.41  % (5075)Time elapsed: 0.014 s
% 0.16/0.41  % (5075)Instructions burned: 19 (million)
% 0.16/0.41  % (5075)------------------------------
% 0.16/0.41  % (5075)------------------------------
% 0.16/0.41  % (5074)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)
% 0.16/0.41  % (5076)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)
% 0.16/0.41  % (5076)Instruction limit reached!
% 0.16/0.41  % (5076)------------------------------
% 0.16/0.41  % (5076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41  % (5076)Termination reason: Unknown
% 0.16/0.41  % (5076)Termination phase: Property scanning
% 0.16/0.41  
% 0.16/0.41  % (5076)Memory used [KB]: 1023
% 0.16/0.41  % (5076)Time elapsed: 0.003 s
% 0.16/0.41  % (5076)Instructions burned: 3 (million)
% 0.16/0.41  % (5076)------------------------------
% 0.16/0.41  % (5076)------------------------------
% 0.16/0.41  % (5074)Refutation not found, incomplete strategy
% 0.16/0.41  % (5074)------------------------------
% 0.16/0.41  % (5074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41  % (5074)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.41  
% 0.16/0.41  
% 0.16/0.41  % (5074)Memory used [KB]: 5500
% 0.16/0.41  % (5074)Time elapsed: 0.007 s
% 0.16/0.41  % (5074)Instructions burned: 7 (million)
% 0.16/0.41  % (5074)------------------------------
% 0.16/0.41  % (5074)------------------------------
% 0.16/0.42  % (5078)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)
% 0.16/0.42  % (5079)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)
% 0.16/0.42  % (5079)Instruction limit reached!
% 0.16/0.42  % (5079)------------------------------
% 0.16/0.42  % (5079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42  % (5079)Termination reason: Unknown
% 0.16/0.42  % (5079)Termination phase: Saturation
% 0.16/0.42  
% 0.16/0.42  % (5079)Memory used [KB]: 1023
% 0.16/0.42  % (5079)Time elapsed: 0.004 s
% 0.16/0.42  % (5079)Instructions burned: 4 (million)
% 0.16/0.42  % (5079)------------------------------
% 0.16/0.42  % (5079)------------------------------
% 0.16/0.42  % (5077)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)
% 0.16/0.42  % (5082)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.42  % (5080)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)
% 0.16/0.42  % (5078)Instruction limit reached!
% 0.16/0.42  % (5078)------------------------------
% 0.16/0.42  % (5078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42  % (5078)Termination reason: Unknown
% 0.16/0.42  % (5078)Termination phase: Saturation
% 0.16/0.42  
% 0.16/0.42  % (5078)Memory used [KB]: 5628
% 0.16/0.42  % (5078)Time elapsed: 0.010 s
% 0.16/0.42  % (5078)Instructions burned: 16 (million)
% 0.16/0.42  % (5078)------------------------------
% 0.16/0.42  % (5078)------------------------------
% 0.16/0.43  % (5083)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)
% 0.16/0.43  % (5081)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.43  % (5083)Instruction limit reached!
% 0.16/0.43  % (5083)------------------------------
% 0.16/0.43  % (5083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43  % (5083)Termination reason: Unknown
% 0.16/0.43  % (5083)Termination phase: Twee Goal Transformation
% 0.16/0.43  
% 0.16/0.43  % (5083)Memory used [KB]: 1023
% 0.16/0.43  % (5083)Time elapsed: 0.004 s
% 0.16/0.43  % (5083)Instructions burned: 4 (million)
% 0.16/0.43  % (5083)------------------------------
% 0.16/0.43  % (5083)------------------------------
% 0.16/0.43  % (5082)Instruction limit reached!
% 0.16/0.43  % (5082)------------------------------
% 0.16/0.43  % (5082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43  % (5082)Termination reason: Unknown
% 0.16/0.43  % (5082)Termination phase: Saturation
% 0.16/0.43  
% 0.16/0.43  % (5082)Memory used [KB]: 5756
% 0.16/0.43  % (5082)Time elapsed: 0.010 s
% 0.16/0.43  % (5082)Instructions burned: 17 (million)
% 0.16/0.43  % (5082)------------------------------
% 0.16/0.43  % (5082)------------------------------
% 0.16/0.43  % (5081)Instruction limit reached!
% 0.16/0.43  % (5081)------------------------------
% 0.16/0.43  % (5081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43  % (5081)Termination reason: Unknown
% 0.16/0.43  % (5081)Termination phase: Saturation
% 0.16/0.43  
% 0.16/0.43  % (5081)Memory used [KB]: 1023
% 0.16/0.43  % (5081)Time elapsed: 0.006 s
% 0.16/0.43  % (5081)Instructions burned: 7 (million)
% 0.16/0.43  % (5081)------------------------------
% 0.16/0.43  % (5081)------------------------------
% 0.16/0.44  % (5084)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)
% 0.16/0.44  % (5085)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)
% 0.16/0.44  % (5084)Instruction limit reached!
% 0.16/0.44  % (5084)------------------------------
% 0.16/0.44  % (5084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44  % (5084)Termination reason: Unknown
% 0.16/0.44  % (5084)Termination phase: Property scanning
% 0.16/0.44  
% 0.16/0.44  % (5084)Memory used [KB]: 1023
% 0.16/0.44  % (5084)Time elapsed: 0.004 s
% 0.16/0.44  % (5084)Instructions burned: 4 (million)
% 0.16/0.44  % (5084)------------------------------
% 0.16/0.44  % (5084)------------------------------
% 0.16/0.44  % (5077)Instruction limit reached!
% 0.16/0.44  % (5077)------------------------------
% 0.16/0.44  % (5077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44  % (5077)Termination reason: Unknown
% 0.16/0.44  % (5077)Termination phase: Saturation
% 0.16/0.44  
% 0.16/0.44  % (5077)Memory used [KB]: 5628
% 0.16/0.44  % (5077)Time elapsed: 0.019 s
% 0.16/0.44  % (5077)Instructions burned: 37 (million)
% 0.16/0.44  % (5077)------------------------------
% 0.16/0.44  % (5077)------------------------------
% 0.23/0.44  % (5085)Instruction limit reached!
% 0.23/0.44  % (5085)------------------------------
% 0.23/0.44  % (5085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (5085)Termination reason: Unknown
% 0.23/0.44  % (5085)Termination phase: Saturation
% 0.23/0.44  
% 0.23/0.44  % (5085)Memory used [KB]: 5500
% 0.23/0.44  % (5085)Time elapsed: 0.005 s
% 0.23/0.44  % (5085)Instructions burned: 7 (million)
% 0.23/0.44  % (5085)------------------------------
% 0.23/0.44  % (5085)------------------------------
% 0.23/0.44  % (5086)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)
% 0.23/0.44  % (5086)Instruction limit reached!
% 0.23/0.44  % (5086)------------------------------
% 0.23/0.44  % (5086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (5086)Termination reason: Unknown
% 0.23/0.44  % (5086)Termination phase: Saturation
% 0.23/0.44  
% 0.23/0.44  % (5086)Memory used [KB]: 1023
% 0.23/0.44  % (5086)Time elapsed: 0.003 s
% 0.23/0.44  % (5086)Instructions burned: 3 (million)
% 0.23/0.44  % (5086)------------------------------
% 0.23/0.44  % (5086)------------------------------
% 0.23/0.45  % (5088)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)
% 0.23/0.45  % (5090)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.45  % (5089)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.45  % (5087)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.45  % (5091)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)
% 0.23/0.45  % (5090)Instruction limit reached!
% 0.23/0.45  % (5090)------------------------------
% 0.23/0.45  % (5090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45  % (5090)Termination reason: Unknown
% 0.23/0.45  % (5090)Termination phase: Saturation
% 0.23/0.45  
% 0.23/0.45  % (5090)Memory used [KB]: 5500
% 0.23/0.45  % (5090)Time elapsed: 0.005 s
% 0.23/0.45  % (5090)Instructions burned: 8 (million)
% 0.23/0.45  % (5090)------------------------------
% 0.23/0.45  % (5090)------------------------------
% 0.23/0.45  % (5087)Instruction limit reached!
% 0.23/0.45  % (5087)------------------------------
% 0.23/0.45  % (5087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45  % (5087)Termination reason: Unknown
% 0.23/0.45  % (5087)Termination phase: Saturation
% 0.23/0.46  
% 0.23/0.46  % (5087)Memory used [KB]: 5500
% 0.23/0.46  % (5087)Time elapsed: 0.004 s
% 0.23/0.46  % (5087)Instructions burned: 5 (million)
% 0.23/0.46  % (5087)------------------------------
% 0.23/0.46  % (5087)------------------------------
% 0.23/0.46  % (5091)Refutation not found, incomplete strategy
% 0.23/0.46  % (5091)------------------------------
% 0.23/0.46  % (5091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46  % (5091)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.46  
% 0.23/0.46  
% 0.23/0.46  % (5091)Memory used [KB]: 5500
% 0.23/0.46  % (5091)Time elapsed: 0.005 s
% 0.23/0.46  % (5091)Instructions burned: 7 (million)
% 0.23/0.46  % (5091)------------------------------
% 0.23/0.46  % (5091)------------------------------
% 0.23/0.46  % (5092)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)
% 0.23/0.46  % (5088)Instruction limit reached!
% 0.23/0.46  % (5088)------------------------------
% 0.23/0.46  % (5088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46  % (5088)Termination reason: Unknown
% 0.23/0.46  % (5088)Termination phase: Saturation
% 0.23/0.46  
% 0.23/0.46  % (5088)Memory used [KB]: 5628
% 0.23/0.46  % (5088)Time elapsed: 0.016 s
% 0.23/0.46  % (5088)Instructions burned: 19 (million)
% 0.23/0.46  % (5088)------------------------------
% 0.23/0.46  % (5088)------------------------------
% 0.23/0.47  % (5094)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)
% 0.23/0.47  % (5094)Instruction limit reached!
% 0.23/0.47  % (5094)------------------------------
% 0.23/0.47  % (5094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47  % (5094)Termination reason: Unknown
% 0.23/0.47  % (5094)Termination phase: Saturation
% 0.23/0.47  
% 0.23/0.47  % (5094)Memory used [KB]: 5500
% 0.23/0.47  % (5094)Time elapsed: 0.004 s
% 0.23/0.47  % (5094)Instructions burned: 6 (million)
% 0.23/0.47  % (5094)------------------------------
% 0.23/0.47  % (5094)------------------------------
% 0.23/0.47  % (5095)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.23/0.48  % (5092)Instruction limit reached!
% 0.23/0.48  % (5092)------------------------------
% 0.23/0.48  % (5092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48  % (5092)Termination reason: Unknown
% 0.23/0.48  % (5092)Termination phase: Saturation
% 0.23/0.48  
% 0.23/0.48  % (5092)Memory used [KB]: 5628
% 0.23/0.48  % (5092)Time elapsed: 0.017 s
% 0.23/0.48  % (5092)Instructions burned: 22 (million)
% 0.23/0.48  % (5092)------------------------------
% 0.23/0.48  % (5092)------------------------------
% 0.23/0.48  % (5096)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 (2999ds/779Mi)
% 0.23/0.48  % (5069)Instruction limit reached!
% 0.23/0.48  % (5069)------------------------------
% 0.23/0.48  % (5069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48  % (5069)Termination reason: Unknown
% 0.23/0.48  % (5069)Termination phase: Saturation
% 0.23/0.48  
% 0.23/0.48  % (5069)Memory used [KB]: 6780
% 0.23/0.48  % (5069)Time elapsed: 0.077 s
% 0.23/0.48  % (5069)Instructions burned: 183 (million)
% 0.23/0.48  % (5069)------------------------------
% 0.23/0.48  % (5069)------------------------------
% 0.23/0.48  % (5097)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 (2999ds/19Mi)
% 0.23/0.48  % (5093)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.49  % (5093)Instruction limit reached!
% 0.23/0.49  % (5093)------------------------------
% 0.23/0.49  % (5093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49  % (5093)Termination reason: Unknown
% 0.23/0.49  % (5093)Termination phase: Saturation
% 0.23/0.49  
% 0.23/0.49  % (5093)Memory used [KB]: 5500
% 0.23/0.49  % (5093)Time elapsed: 0.026 s
% 0.23/0.49  % (5093)Instructions burned: 5 (million)
% 0.23/0.49  % (5093)------------------------------
% 0.23/0.49  % (5093)------------------------------
% 0.23/0.49  % (5099)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.23/0.49  % (5097)Instruction limit reached!
% 0.23/0.49  % (5097)------------------------------
% 0.23/0.49  % (5097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49  % (5097)Termination reason: Unknown
% 0.23/0.49  % (5097)Termination phase: Saturation
% 0.23/0.49  
% 0.23/0.49  % (5097)Memory used [KB]: 5628
% 0.23/0.49  % (5097)Time elapsed: 0.011 s
% 0.23/0.49  % (5097)Instructions burned: 20 (million)
% 0.23/0.49  % (5097)------------------------------
% 0.23/0.49  % (5097)------------------------------
% 0.23/0.49  % (5098)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.23/0.50  % (5099)Instruction limit reached!
% 0.23/0.50  % (5099)------------------------------
% 0.23/0.50  % (5099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50  % (5099)Termination reason: Unknown
% 0.23/0.50  % (5099)Termination phase: Saturation
% 0.23/0.50  
% 0.23/0.50  % (5099)Memory used [KB]: 5628
% 0.23/0.50  % (5099)Time elapsed: 0.008 s
% 0.23/0.50  % (5099)Instructions burned: 19 (million)
% 0.23/0.50  % (5099)------------------------------
% 0.23/0.50  % (5099)------------------------------
% 0.23/0.50  % (5100)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.50  % (5100)Instruction limit reached!
% 0.23/0.50  % (5100)------------------------------
% 0.23/0.50  % (5100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50  % (5100)Termination reason: Unknown
% 0.23/0.50  % (5100)Termination phase: Property scanning
% 0.23/0.50  
% 0.23/0.50  % (5100)Memory used [KB]: 1023
% 0.23/0.50  % (5100)Time elapsed: 0.003 s
% 0.23/0.50  % (5100)Instructions burned: 4 (million)
% 0.23/0.50  % (5100)------------------------------
% 0.23/0.50  % (5100)------------------------------
% 0.23/0.50  % (5102)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)
% 0.23/0.51  % (5101)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.23/0.52  % (5101)Instruction limit reached!
% 0.23/0.52  % (5101)------------------------------
% 0.23/0.52  % (5101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52  % (5101)Termination reason: Unknown
% 0.23/0.52  % (5101)Termination phase: Saturation
% 0.23/0.52  
% 0.23/0.52  % (5101)Memory used [KB]: 5756
% 0.23/0.52  % (5101)Time elapsed: 0.038 s
% 0.23/0.52  % (5101)Instructions burned: 32 (million)
% 0.23/0.52  % (5101)------------------------------
% 0.23/0.52  % (5101)------------------------------
% 0.23/0.52  % (5103)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)
% 0.23/0.54  % (5104)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 (2998ds/3Mi)
% 0.23/0.54  % (5104)Instruction limit reached!
% 0.23/0.54  % (5104)------------------------------
% 0.23/0.54  % (5104)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.54  % (5104)Termination reason: Unknown
% 0.23/0.54  % (5104)Termination phase: Saturation
% 0.23/0.54  
% 0.23/0.54  % (5104)Memory used [KB]: 5500
% 0.23/0.54  % (5104)Time elapsed: 0.028 s
% 0.23/0.54  % (5104)Instructions burned: 3 (million)
% 0.23/0.54  % (5104)------------------------------
% 0.23/0.54  % (5104)------------------------------
% 0.23/0.55  % (5102)Instruction limit reached!
% 0.23/0.55  % (5102)------------------------------
% 0.23/0.55  % (5102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.55  % (5102)Termination reason: Unknown
% 0.23/0.55  % (5102)Termination phase: Saturation
% 0.23/0.55  
% 0.23/0.55  % (5102)Memory used [KB]: 6268
% 0.23/0.55  % (5102)Time elapsed: 0.042 s
% 0.23/0.55  % (5102)Instructions burned: 128 (million)
% 0.23/0.55  % (5102)------------------------------
% 0.23/0.55  % (5102)------------------------------
% 1.33/0.55  % (5105)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 (2998ds/20Mi)
% 1.33/0.56  % (5105)Instruction limit reached!
% 1.33/0.56  % (5105)------------------------------
% 1.33/0.56  % (5105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.56  % (5105)Termination reason: Unknown
% 1.33/0.56  % (5105)Termination phase: Saturation
% 1.33/0.56  
% 1.33/0.56  % (5105)Memory used [KB]: 5628
% 1.33/0.56  % (5105)Time elapsed: 0.009 s
% 1.33/0.56  % (5105)Instructions burned: 21 (million)
% 1.33/0.56  % (5105)------------------------------
% 1.33/0.56  % (5105)------------------------------
% 1.33/0.56  % (5106)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 (2998ds/86Mi)
% 1.33/0.57  % (5103)Instruction limit reached!
% 1.33/0.57  % (5103)------------------------------
% 1.33/0.57  % (5103)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.57  % (5103)Termination reason: Unknown
% 1.33/0.57  % (5103)Termination phase: Saturation
% 1.33/0.57  
% 1.33/0.57  % (5103)Memory used [KB]: 5884
% 1.33/0.57  % (5103)Time elapsed: 0.077 s
% 1.33/0.57  % (5103)Instructions burned: 101 (million)
% 1.33/0.57  % (5103)------------------------------
% 1.33/0.57  % (5103)------------------------------
% 1.48/0.57  % (5107)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 (2998ds/107Mi)
% 1.48/0.59  % (5108)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 (2998ds/39Mi)
% 1.48/0.60  % (5106)Instruction limit reached!
% 1.48/0.60  % (5106)------------------------------
% 1.48/0.60  % (5106)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.48/0.60  % (5106)Termination reason: Unknown
% 1.48/0.60  % (5106)Termination phase: Saturation
% 1.48/0.60  
% 1.48/0.60  % (5106)Memory used [KB]: 6140
% 1.48/0.60  % (5106)Time elapsed: 0.036 s
% 1.48/0.60  % (5106)Instructions burned: 86 (million)
% 1.48/0.60  % (5106)------------------------------
% 1.48/0.60  % (5106)------------------------------
% 1.48/0.60  % (5108)Instruction limit reached!
% 1.48/0.60  % (5108)------------------------------
% 1.48/0.60  % (5108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.48/0.60  % (5108)Termination reason: Unknown
% 1.48/0.60  % (5108)Termination phase: Saturation
% 1.48/0.60  
% 1.48/0.60  % (5108)Memory used [KB]: 5884
% 1.48/0.60  % (5108)Time elapsed: 0.021 s
% 1.48/0.60  % (5108)Instructions burned: 40 (million)
% 1.48/0.60  % (5108)------------------------------
% 1.48/0.60  % (5108)------------------------------
% 1.48/0.60  % (5107)Instruction limit reached!
% 1.48/0.60  % (5107)------------------------------
% 1.48/0.60  % (5107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.48/0.60  % (5107)Termination reason: Unknown
% 1.48/0.60  % (5107)Termination phase: Saturation
% 1.48/0.60  
% 1.48/0.60  % (5107)Memory used [KB]: 5884
% 1.48/0.60  % (5107)Time elapsed: 0.037 s
% 1.48/0.60  % (5107)Instructions burned: 108 (million)
% 1.48/0.60  % (5107)------------------------------
% 1.48/0.60  % (5107)------------------------------
% 1.48/0.61  % (5110)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)
% 1.48/0.62  % (5109)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)
% 1.48/0.63  % (5111)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)
% 1.93/0.64  % (5095)Instruction limit reached!
% 1.93/0.64  % (5095)------------------------------
% 1.93/0.64  % (5095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.64  % (5095)Termination reason: Unknown
% 1.93/0.64  % (5095)Termination phase: Saturation
% 1.93/0.64  
% 1.93/0.64  % (5095)Memory used [KB]: 6396
% 1.93/0.64  % (5095)Time elapsed: 0.162 s
% 1.93/0.64  % (5095)Instructions burned: 378 (million)
% 1.93/0.64  % (5095)------------------------------
% 1.93/0.64  % (5095)------------------------------
% 1.93/0.64  % (5110)Instruction limit reached!
% 1.93/0.64  % (5110)------------------------------
% 1.93/0.64  % (5110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.64  % (5110)Termination reason: Unknown
% 1.93/0.64  % (5110)Termination phase: Saturation
% 1.93/0.64  
% 1.93/0.64  % (5110)Memory used [KB]: 5884
% 1.93/0.64  % (5110)Time elapsed: 0.020 s
% 1.93/0.64  % (5110)Instructions burned: 48 (million)
% 1.93/0.64  % (5110)------------------------------
% 1.93/0.64  % (5110)------------------------------
% 1.93/0.65  % (5113)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 (2997ds/149Mi)
% 1.93/0.66  % (5111)Instruction limit reached!
% 1.93/0.66  % (5111)------------------------------
% 1.93/0.66  % (5111)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.66  % (5111)Termination reason: Unknown
% 1.93/0.66  % (5111)Termination phase: Saturation
% 1.93/0.66  
% 1.93/0.66  % (5111)Memory used [KB]: 1279
% 1.93/0.66  % (5111)Time elapsed: 0.055 s
% 1.93/0.66  % (5111)Instructions burned: 98 (million)
% 1.93/0.66  % (5111)------------------------------
% 1.93/0.66  % (5111)------------------------------
% 2.12/0.66  % (5112)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)
% 2.12/0.67  % (5112)Refutation not found, incomplete strategy
% 2.12/0.67  % (5112)------------------------------
% 2.12/0.67  % (5112)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.12/0.67  % (5112)Termination reason: Refutation not found, incomplete strategy
% 2.12/0.67  
% 2.12/0.67  
% 2.12/0.67  % (5112)Memory used [KB]: 5628
% 2.12/0.67  % (5112)Time elapsed: 0.006 s
% 2.12/0.67  % (5112)Instructions burned: 8 (million)
% 2.12/0.67  % (5112)------------------------------
% 2.12/0.67  % (5112)------------------------------
% 2.12/0.67  % (5114)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.12/0.68  % (5115)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 (2997ds/6Mi)
% 2.12/0.68  % (5115)Instruction limit reached!
% 2.12/0.68  % (5115)------------------------------
% 2.12/0.68  % (5115)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.12/0.68  % (5115)Termination reason: Unknown
% 2.12/0.68  % (5115)Termination phase: Saturation
% 2.12/0.69  
% 2.12/0.69  % (5115)Memory used [KB]: 9978
% 2.12/0.69  % (5115)Time elapsed: 0.006 s
% 2.12/0.69  % (5115)Instructions burned: 7 (million)
% 2.12/0.69  % (5115)------------------------------
% 2.12/0.69  % (5115)------------------------------
% 2.12/0.69  % (5114)Instruction limit reached!
% 2.12/0.69  % (5114)------------------------------
% 2.12/0.69  % (5114)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.12/0.69  % (5114)Termination reason: Unknown
% 2.12/0.69  % (5114)Termination phase: Saturation
% 2.12/0.69  
% 2.12/0.69  % (5114)Memory used [KB]: 5756
% 2.12/0.69  % (5114)Time elapsed: 0.015 s
% 2.12/0.69  % (5114)Instructions burned: 40 (million)
% 2.12/0.69  % (5114)------------------------------
% 2.12/0.69  % (5114)------------------------------
% 2.12/0.69  % (5117)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.12/0.70  % (5116)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)
% 2.12/0.70  % (5113)Instruction limit reached!
% 2.12/0.70  % (5113)------------------------------
% 2.12/0.70  % (5113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.12/0.70  % (5113)Termination reason: Unknown
% 2.12/0.70  % (5113)Termination phase: Saturation
% 2.12/0.70  
% 2.12/0.70  % (5113)Memory used [KB]: 6268
% 2.12/0.70  % (5113)Time elapsed: 0.055 s
% 2.12/0.70  % (5113)Instructions burned: 149 (million)
% 2.12/0.70  % (5113)------------------------------
% 2.12/0.70  % (5113)------------------------------
% 2.12/0.71  % (5117)Instruction limit reached!
% 2.12/0.71  % (5117)------------------------------
% 2.12/0.71  % (5117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.12/0.71  % (5117)Termination reason: Unknown
% 2.12/0.71  % (5117)Termination phase: Saturation
% 2.12/0.71  
% 2.12/0.71  % (5117)Memory used [KB]: 5756
% 2.12/0.71  % (5117)Time elapsed: 0.017 s
% 2.12/0.71  % (5117)Instructions burned: 48 (million)
% 2.12/0.71  % (5117)------------------------------
% 2.12/0.71  % (5117)------------------------------
% 2.12/0.71  % (5118)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)
% 2.12/0.72  % (5119)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)
% 2.52/0.73  % (5118)Instruction limit reached!
% 2.52/0.73  % (5118)------------------------------
% 2.52/0.73  % (5118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.52/0.73  % (5118)Termination reason: Unknown
% 2.52/0.73  % (5118)Termination phase: Saturation
% 2.52/0.73  
% 2.52/0.73  % (5118)Memory used [KB]: 1151
% 2.52/0.73  % (5118)Time elapsed: 0.023 s
% 2.52/0.73  % (5118)Instructions burned: 45 (million)
% 2.52/0.73  % (5118)------------------------------
% 2.52/0.73  % (5118)------------------------------
% 2.52/0.75  % (5120)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)
% 2.69/0.77  % (5096)Instruction limit reached!
% 2.69/0.77  % (5096)------------------------------
% 2.69/0.77  % (5096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.69/0.77  % (5096)Termination reason: Unknown
% 2.69/0.77  % (5096)Termination phase: Saturation
% 2.69/0.77  
% 2.69/0.77  % (5096)Memory used [KB]: 7164
% 2.69/0.77  % (5096)Time elapsed: 0.299 s
% 2.69/0.77  % (5096)Instructions burned: 780 (million)
% 2.69/0.77  % (5096)------------------------------
% 2.69/0.77  % (5096)------------------------------
% 2.69/0.78  % (5120)Instruction limit reached!
% 2.69/0.78  % (5120)------------------------------
% 2.69/0.78  % (5120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.69/0.78  % (5120)Termination reason: Unknown
% 2.69/0.78  % (5120)Termination phase: Saturation
% 2.69/0.78  
% 2.69/0.78  % (5120)Memory used [KB]: 5756
% 2.69/0.78  % (5120)Time elapsed: 0.032 s
% 2.69/0.78  % (5120)Instructions burned: 62 (million)
% 2.69/0.78  % (5120)------------------------------
% 2.69/0.78  % (5120)------------------------------
% 2.69/0.78  % (5121)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)
% 2.69/0.78  % (5089)Instruction limit reached!
% 2.69/0.78  % (5089)------------------------------
% 2.69/0.78  % (5089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.69/0.78  % (5089)Termination reason: Unknown
% 2.69/0.78  % (5089)Termination phase: Saturation
% 2.69/0.78  
% 2.69/0.78  % (5089)Memory used [KB]: 7547
% 2.69/0.78  % (5089)Time elapsed: 0.333 s
% 2.69/0.78  % (5089)Instructions burned: 711 (million)
% 2.69/0.78  % (5089)------------------------------
% 2.69/0.78  % (5089)------------------------------
% 2.69/0.79  % (5123)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 (2996ds/453Mi)
% 2.69/0.79  % (5122)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.69/0.79  % (5121)Instruction limit reached!
% 2.69/0.79  % (5121)------------------------------
% 2.69/0.79  % (5121)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.69/0.79  % (5121)Termination reason: Unknown
% 2.69/0.79  % (5121)Termination phase: Saturation
% 2.69/0.79  
% 2.69/0.79  % (5121)Memory used [KB]: 5756
% 2.69/0.79  % (5121)Time elapsed: 0.012 s
% 2.69/0.79  % (5121)Instructions burned: 31 (million)
% 2.69/0.79  % (5121)------------------------------
% 2.69/0.79  % (5121)------------------------------
% 2.69/0.80  % (5109)Instruction limit reached!
% 2.69/0.80  % (5109)------------------------------
% 2.69/0.80  % (5109)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.69/0.80  % (5109)Termination reason: Unknown
% 2.69/0.80  % (5109)Termination phase: Saturation
% 2.69/0.80  
% 2.69/0.80  % (5109)Memory used [KB]: 6780
% 2.69/0.80  % (5109)Time elapsed: 0.176 s
% 2.69/0.80  % (5109)Instructions burned: 448 (million)
% 2.69/0.80  % (5109)------------------------------
% 2.69/0.80  % (5109)------------------------------
% 2.69/0.80  % (5123)Refutation not found, incomplete strategy
% 2.69/0.80  % (5123)------------------------------
% 2.69/0.80  % (5123)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.69/0.80  % (5123)Termination reason: Refutation not found, incomplete strategy
% 2.69/0.80  
% 2.69/0.80  
% 2.69/0.80  % (5123)Memory used [KB]: 5628
% 2.69/0.80  % (5123)Time elapsed: 0.012 s
% 2.69/0.80  % (5123)Instructions burned: 30 (million)
% 2.69/0.80  % (5123)------------------------------
% 2.69/0.80  % (5123)------------------------------
% 2.69/0.80  % (5124)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2995ds/71Mi)
% 2.69/0.81  % (5126)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2995ds/11Mi)
% 2.69/0.82  % (5126)Instruction limit reached!
% 2.69/0.82  % (5126)------------------------------
% 2.69/0.82  % (5126)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.69/0.82  % (5126)Termination reason: Unknown
% 2.69/0.82  % (5126)Termination phase: Saturation
% 2.69/0.82  
% 2.69/0.82  % (5126)Memory used [KB]: 5500
% 2.69/0.82  % (5126)Time elapsed: 0.007 s
% 2.69/0.82  % (5126)Instructions burned: 12 (million)
% 2.69/0.82  % (5126)------------------------------
% 2.69/0.82  % (5126)------------------------------
% 2.69/0.82  % (5125)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2995ds/83Mi)
% 3.18/0.83  % (5127)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2995ds/41Mi)
% 3.18/0.84  % (5127)Refutation not found, incomplete strategy
% 3.18/0.84  % (5127)------------------------------
% 3.18/0.84  % (5127)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.18/0.84  % (5127)Termination reason: Refutation not found, incomplete strategy
% 3.18/0.84  
% 3.18/0.84  
% 3.18/0.84  % (5127)Memory used [KB]: 5500
% 3.18/0.84  % (5127)Time elapsed: 0.008 s
% 3.18/0.84  % (5127)Instructions burned: 12 (million)
% 3.18/0.84  % (5127)------------------------------
% 3.18/0.84  % (5127)------------------------------
% 3.18/0.84  % (5122)Instruction limit reached!
% 3.18/0.84  % (5122)------------------------------
% 3.18/0.84  % (5122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.18/0.84  % (5122)Termination reason: Unknown
% 3.18/0.84  % (5122)Termination phase: Saturation
% 3.18/0.84  
% 3.18/0.84  % (5122)Memory used [KB]: 6012
% 3.18/0.84  % (5122)Time elapsed: 0.048 s
% 3.18/0.84  % (5124)Instruction limit reached!
% 3.18/0.84  % (5124)------------------------------
% 3.18/0.84  % (5124)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.18/0.84  % (5122)Instructions burned: 98 (million)
% 3.18/0.84  % (5122)------------------------------
% 3.18/0.84  % (5122)------------------------------
% 3.18/0.84  % (5124)Termination reason: Unknown
% 3.18/0.84  % (5124)Termination phase: Saturation
% 3.18/0.84  
% 3.18/0.84  % (5124)Memory used [KB]: 5884
% 3.18/0.84  % (5124)Time elapsed: 0.037 s
% 3.18/0.84  % (5124)Instructions burned: 72 (million)
% 3.18/0.84  % (5124)------------------------------
% 3.18/0.84  % (5124)------------------------------
% 3.18/0.84  % (5119)Instruction limit reached!
% 3.18/0.84  % (5119)------------------------------
% 3.18/0.84  % (5119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.18/0.84  % (5119)Termination reason: Unknown
% 3.18/0.84  % (5119)Termination phase: Saturation
% 3.18/0.84  
% 3.18/0.84  % (5119)Memory used [KB]: 3454
% 3.18/0.84  % (5119)Time elapsed: 0.127 s
% 3.18/0.84  % (5119)Instructions burned: 435 (million)
% 3.18/0.84  % (5119)------------------------------
% 3.18/0.84  % (5119)------------------------------
% 3.18/0.85  % (5125)Instruction limit reached!
% 3.18/0.85  % (5125)------------------------------
% 3.18/0.85  % (5125)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.18/0.85  % (5125)Termination reason: Unknown
% 3.18/0.85  % (5125)Termination phase: Saturation
% 3.18/0.85  
% 3.18/0.85  % (5125)Memory used [KB]: 5884
% 3.18/0.85  % (5125)Time elapsed: 0.055 s
% 3.18/0.85  % (5125)Instructions burned: 83 (million)
% 3.18/0.85  % (5125)------------------------------
% 3.18/0.85  % (5125)------------------------------
% 3.18/0.85  % (5129)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2995ds/150Mi)
% 3.18/0.85  % (5128)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 3.18/0.85  % (5130)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2995ds/343Mi)
% 3.18/0.85  % (5128)Instruction limit reached!
% 3.18/0.85  % (5128)------------------------------
% 3.18/0.85  % (5128)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.18/0.85  % (5128)Termination reason: Unknown
% 3.18/0.85  % (5128)Termination phase: Saturation
% 3.18/0.85  
% 3.18/0.85  % (5128)Memory used [KB]: 5500
% 3.18/0.85  % (5128)Time elapsed: 0.004 s
% 3.18/0.85  % (5128)Instructions burned: 6 (million)
% 3.18/0.85  % (5128)------------------------------
% 3.18/0.85  % (5128)------------------------------
% 3.18/0.85  % (5080)Instruction limit reached!
% 3.18/0.85  % (5080)------------------------------
% 3.18/0.85  % (5080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.18/0.85  % (5080)Termination reason: Unknown
% 3.18/0.85  % (5080)Termination phase: Saturation
% 3.18/0.85  
% 3.18/0.85  % (5080)Memory used [KB]: 7931
% 3.18/0.85  % (5080)Time elapsed: 0.430 s
% 3.18/0.85  % (5080)Instructions burned: 1042 (million)
% 3.18/0.85  % (5080)------------------------------
% 3.18/0.85  % (5080)------------------------------
% 3.18/0.86  % (5129)Refutation not found, incomplete strategy
% 3.18/0.86  % (5129)------------------------------
% 3.18/0.86  % (5129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.18/0.86  % (5129)Termination reason: Refutation not found, incomplete strategy
% 3.18/0.86  
% 3.18/0.86  
% 3.18/0.86  % (5129)Memory used [KB]: 5628
% 3.18/0.86  % (5129)Time elapsed: 0.007 s
% 3.18/0.86  % (5129)Instructions burned: 11 (million)
% 3.18/0.86  % (5129)------------------------------
% 3.18/0.86  % (5129)------------------------------
% 3.18/0.86  % (5132)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2995ds/253Mi)
% 3.18/0.86  % (5131)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2995ds/109Mi)
% 3.18/0.86  % (5134)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2995ds/614Mi)
% 3.58/0.87  % (5135)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2995ds/202Mi)
% 3.58/0.87  % (5133)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2995ds/140Mi)
% 3.58/0.88  % (5135)Refutation not found, incomplete strategy
% 3.58/0.88  % (5135)------------------------------
% 3.58/0.88  % (5135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.58/0.88  % (5135)Termination reason: Refutation not found, incomplete strategy
% 3.58/0.88  
% 3.58/0.88  
% 3.58/0.88  % (5135)Memory used [KB]: 5628
% 3.58/0.88  % (5135)Time elapsed: 0.009 s
% 3.58/0.88  % (5135)Instructions burned: 14 (million)
% 3.58/0.88  % (5135)------------------------------
% 3.58/0.88  % (5135)------------------------------
% 3.58/0.89  % (5136)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2995ds/339Mi)
% 3.58/0.91  % (5098)Instruction limit reached!
% 3.58/0.91  % (5098)------------------------------
% 3.58/0.91  % (5098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.58/0.91  % (5098)Termination reason: Unknown
% 3.58/0.91  % (5098)Termination phase: Saturation
% 3.58/0.91  
% 3.58/0.91  % (5098)Memory used [KB]: 7675
% 3.58/0.91  % (5098)Time elapsed: 0.441 s
% 3.58/0.91  % (5098)Instructions burned: 879 (million)
% 3.58/0.91  % (5098)------------------------------
% 3.58/0.91  % (5098)------------------------------
% 3.58/0.91  % (5131)Instruction limit reached!
% 3.58/0.91  % (5131)------------------------------
% 3.58/0.91  % (5131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.58/0.91  % (5131)Termination reason: Unknown
% 3.58/0.91  % (5131)Termination phase: Saturation
% 3.58/0.91  
% 3.58/0.91  % (5131)Memory used [KB]: 6140
% 3.58/0.91  % (5131)Time elapsed: 0.075 s
% 3.58/0.91  % (5131)Instructions burned: 109 (million)
% 3.58/0.91  % (5131)------------------------------
% 3.58/0.91  % (5131)------------------------------
% 3.58/0.92  % (5133)Instruction limit reached!
% 3.58/0.92  % (5133)------------------------------
% 3.58/0.92  % (5133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.58/0.92  % (5133)Termination reason: Unknown
% 3.58/0.92  % (5133)Termination phase: Saturation
% 3.58/0.92  
% 3.58/0.92  % (5133)Memory used [KB]: 6140
% 3.58/0.92  % (5133)Time elapsed: 0.080 s
% 3.58/0.92  % (5133)Instructions burned: 140 (million)
% 3.58/0.92  % (5133)------------------------------
% 3.58/0.92  % (5133)------------------------------
% 3.58/0.93  % (5138)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2994ds/134Mi)
% 3.78/0.93  % (5139)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2994ds/298Mi)
% 3.78/0.94  % (5137)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=283:si=on:rtra=on_0 on theBenchmark for (2994ds/283Mi)
% 3.78/0.94  % (5132)Instruction limit reached!
% 3.78/0.94  % (5132)------------------------------
% 3.78/0.94  % (5132)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.78/0.94  % (5132)Termination reason: Unknown
% 3.78/0.94  % (5132)Termination phase: Saturation
% 3.78/0.94  
% 3.78/0.94  % (5132)Memory used [KB]: 6268
% 3.78/0.94  % (5132)Time elapsed: 0.085 s
% 3.78/0.94  % (5132)Instructions burned: 253 (million)
% 3.78/0.94  % (5132)------------------------------
% 3.78/0.94  % (5132)------------------------------
% 3.78/0.96  % (5140)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2994ds/192Mi)
% 3.86/0.96  % (5130)Instruction limit reached!
% 3.86/0.96  % (5130)------------------------------
% 3.86/0.96  % (5130)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.86/0.96  % (5130)Termination reason: Unknown
% 3.86/0.96  % (5130)Termination phase: Saturation
% 3.86/0.96  
% 3.86/0.96  % (5130)Memory used [KB]: 6908
% 3.86/0.96  % (5130)Time elapsed: 0.135 s
% 3.86/0.96  % (5130)Instructions burned: 344 (million)
% 3.86/0.96  % (5130)------------------------------
% 3.86/0.96  % (5130)------------------------------
% 3.86/0.97  % (5141)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2994ds/258Mi)
% 3.86/0.99  % (5138)Instruction limit reached!
% 3.86/0.99  % (5138)------------------------------
% 3.86/0.99  % (5138)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.86/0.99  % (5138)Termination reason: Unknown
% 3.86/0.99  % (5138)Termination phase: Saturation
% 3.86/0.99  
% 3.86/0.99  % (5138)Memory used [KB]: 6268
% 3.86/0.99  % (5138)Time elapsed: 0.065 s
% 3.86/0.99  % (5138)Instructions burned: 134 (million)
% 3.86/0.99  % (5138)------------------------------
% 3.86/0.99  % (5138)------------------------------
% 3.86/1.00  % (5142)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.86/1.02  % (5137)Instruction limit reached!
% 3.86/1.02  % (5137)------------------------------
% 3.86/1.02  % (5137)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.86/1.02  % (5137)Termination reason: Unknown
% 3.86/1.02  % (5137)Termination phase: Saturation
% 3.86/1.02  
% 3.86/1.02  % (5137)Memory used [KB]: 7547
% 3.86/1.02  % (5137)Time elapsed: 0.112 s
% 3.86/1.02  % (5137)Instructions burned: 285 (million)
% 3.86/1.02  % (5137)------------------------------
% 3.86/1.02  % (5137)------------------------------
% 4.16/1.03  % (5142)Instruction limit reached!
% 4.16/1.03  % (5142)------------------------------
% 4.16/1.03  % (5142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.16/1.03  % (5142)Termination reason: Unknown
% 4.16/1.03  % (5142)Termination phase: Saturation
% 4.16/1.03  
% 4.16/1.03  % (5142)Memory used [KB]: 6140
% 4.16/1.03  % (5142)Time elapsed: 0.055 s
% 4.16/1.03  % (5142)Instructions burned: 91 (million)
% 4.16/1.03  % (5142)------------------------------
% 4.16/1.03  % (5142)------------------------------
% 4.16/1.03  % (5143)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2993ds/231Mi)
% 4.16/1.04  % (5144)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2993ds/458Mi)
% 4.16/1.04  % (5139)Instruction limit reached!
% 4.16/1.04  % (5139)------------------------------
% 4.16/1.04  % (5139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.16/1.04  % (5139)Termination reason: Unknown
% 4.16/1.04  % (5139)Termination phase: Saturation
% 4.16/1.04  
% 4.16/1.04  % (5139)Memory used [KB]: 6396
% 4.16/1.04  % (5139)Time elapsed: 0.133 s
% 4.16/1.04  % (5139)Instructions burned: 299 (million)
% 4.16/1.04  % (5139)------------------------------
% 4.16/1.04  % (5139)------------------------------
% 4.16/1.04  % (5140)Instruction limit reached!
% 4.16/1.04  % (5140)------------------------------
% 4.16/1.04  % (5140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.16/1.04  % (5140)Termination reason: Unknown
% 4.16/1.04  % (5140)Termination phase: Saturation
% 4.16/1.04  
% 4.16/1.04  % (5140)Memory used [KB]: 6652
% 4.16/1.04  % (5140)Time elapsed: 0.109 s
% 4.16/1.04  % (5140)Instructions burned: 193 (million)
% 4.16/1.04  % (5140)------------------------------
% 4.16/1.04  % (5140)------------------------------
% 4.16/1.05  % (5136)Instruction limit reached!
% 4.16/1.05  % (5136)------------------------------
% 4.16/1.05  % (5136)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.16/1.05  % (5136)Termination reason: Unknown
% 4.16/1.05  % (5136)Termination phase: Saturation
% 4.16/1.05  
% 4.16/1.05  % (5136)Memory used [KB]: 6268
% 4.16/1.05  % (5136)Time elapsed: 0.164 s
% 4.16/1.05  % (5136)Instructions burned: 340 (million)
% 4.16/1.05  % (5136)------------------------------
% 4.16/1.05  % (5136)------------------------------
% 4.16/1.06  % (5146)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2993ds/297Mi)
% 4.16/1.06  % (5141)Instruction limit reached!
% 4.16/1.06  % (5141)------------------------------
% 4.16/1.06  % (5141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.16/1.06  % (5145)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 (2993ds/31Mi)
% 4.16/1.06  % (5141)Termination reason: Unknown
% 4.16/1.06  % (5141)Termination phase: Saturation
% 4.16/1.06  
% 4.16/1.06  % (5141)Memory used [KB]: 6396
% 4.16/1.06  % (5141)Time elapsed: 0.110 s
% 4.16/1.06  % (5141)Instructions burned: 260 (million)
% 4.16/1.06  % (5141)------------------------------
% 4.16/1.06  % (5141)------------------------------
% 4.16/1.07  % (5148)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 4.16/1.07  % (5147)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2993ds/987Mi)
% 5.34/1.07  % (5145)Instruction limit reached!
% 5.34/1.07  % (5145)------------------------------
% 5.34/1.07  % (5145)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.34/1.07  % (5145)Termination reason: Unknown
% 5.34/1.07  % (5145)Termination phase: Saturation
% 5.34/1.07  
% 5.34/1.07  % (5145)Memory used [KB]: 5756
% 5.34/1.07  % (5145)Time elapsed: 0.018 s
% 5.34/1.07  % (5145)Instructions burned: 31 (million)
% 5.34/1.07  % (5145)------------------------------
% 5.34/1.07  % (5145)------------------------------
% 5.34/1.09  % (5149)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 5.34/1.11  % (5116)Instruction limit reached!
% 5.34/1.11  % (5116)------------------------------
% 5.34/1.11  % (5116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.34/1.11  % (5116)Termination reason: Unknown
% 5.34/1.11  % (5116)Termination phase: Saturation
% 5.34/1.11  
% 5.34/1.11  % (5116)Memory used [KB]: 7675
% 5.34/1.11  % (5116)Time elapsed: 0.406 s
% 5.34/1.11  % (5116)Instructions burned: 1087 (million)
% 5.34/1.11  % (5116)------------------------------
% 5.34/1.11  % (5116)------------------------------
% 5.34/1.12  % (5148)Instruction limit reached!
% 5.34/1.12  % (5148)------------------------------
% 5.34/1.12  % (5148)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.34/1.12  % (5148)Termination reason: Unknown
% 5.34/1.12  % (5148)Termination phase: Saturation
% 5.34/1.12  
% 5.34/1.12  % (5148)Memory used [KB]: 6908
% 5.34/1.12  % (5148)Time elapsed: 0.060 s
% 5.34/1.12  % (5148)Instructions burned: 182 (million)
% 5.34/1.12  % (5148)------------------------------
% 5.34/1.12  % (5148)------------------------------
% 5.34/1.13  % (5143)Instruction limit reached!
% 5.34/1.13  % (5143)------------------------------
% 5.34/1.13  % (5143)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.34/1.13  % (5143)Termination reason: Unknown
% 5.34/1.13  % (5143)Termination phase: Saturation
% 5.34/1.13  
% 5.34/1.13  % (5143)Memory used [KB]: 6012
% 5.34/1.13  % (5143)Time elapsed: 0.094 s
% 5.34/1.13  % (5143)Instructions burned: 232 (million)
% 5.34/1.13  % (5143)------------------------------
% 5.34/1.13  % (5143)------------------------------
% 5.34/1.13  % (5151)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2992ds/79Mi)
% 5.34/1.13  % (5150)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2992ds/154Mi)
% 5.86/1.14  % (5152)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2992ds/216Mi)
% 5.86/1.16  % (5134)Instruction limit reached!
% 5.86/1.16  % (5134)------------------------------
% 5.86/1.16  % (5134)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.86/1.16  % (5134)Termination reason: Unknown
% 5.86/1.16  % (5134)Termination phase: Saturation
% 5.86/1.16  
% 5.86/1.16  % (5134)Memory used [KB]: 7036
% 5.86/1.16  % (5134)Time elapsed: 0.312 s
% 5.86/1.16  % (5134)Instructions burned: 616 (million)
% 5.86/1.16  % (5134)------------------------------
% 5.86/1.16  % (5134)------------------------------
% 5.86/1.16  % (5152)Refutation not found, incomplete strategy
% 5.86/1.16  % (5152)------------------------------
% 5.86/1.16  % (5152)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.86/1.16  % (5152)Termination reason: Refutation not found, incomplete strategy
% 5.86/1.16  
% 5.86/1.16  
% 5.86/1.16  % (5152)Memory used [KB]: 5628
% 5.86/1.16  % (5152)Time elapsed: 0.036 s
% 5.86/1.16  % (5152)Instructions burned: 27 (million)
% 5.86/1.16  % (5152)------------------------------
% 5.86/1.16  % (5152)------------------------------
% 5.86/1.17  % (5153)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2992ds/114Mi)
% 5.86/1.17  % (5146)Instruction limit reached!
% 5.86/1.17  % (5146)------------------------------
% 5.86/1.17  % (5146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.86/1.17  % (5146)Termination reason: Unknown
% 5.86/1.17  % (5146)Termination phase: Saturation
% 5.86/1.17  
% 5.86/1.17  % (5146)Memory used [KB]: 6524
% 5.86/1.17  % (5146)Time elapsed: 0.107 s
% 5.86/1.17  % (5146)Instructions burned: 297 (million)
% 5.86/1.17  % (5146)------------------------------
% 5.86/1.17  % (5146)------------------------------
% 5.86/1.18  % (5154)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2992ds/922Mi)
% 5.86/1.18  % (5149)Instruction limit reached!
% 5.86/1.18  % (5149)------------------------------
% 5.86/1.18  % (5149)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.86/1.18  % (5149)Termination reason: Unknown
% 5.86/1.18  % (5149)Termination phase: Saturation
% 5.86/1.18  
% 5.86/1.18  % (5149)Memory used [KB]: 6140
% 5.86/1.18  % (5149)Time elapsed: 0.089 s
% 5.86/1.18  % (5149)Instructions burned: 183 (million)
% 5.86/1.18  % (5149)------------------------------
% 5.86/1.18  % (5149)------------------------------
% 5.86/1.18  % (5151)Instruction limit reached!
% 5.86/1.18  % (5151)------------------------------
% 5.86/1.18  % (5151)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.86/1.18  % (5151)Termination reason: Unknown
% 5.86/1.18  % (5151)Termination phase: Saturation
% 5.86/1.18  
% 5.86/1.18  % (5151)Memory used [KB]: 5884
% 5.86/1.18  % (5151)Time elapsed: 0.035 s
% 5.86/1.18  % (5151)Instructions burned: 80 (million)
% 5.86/1.18  % (5151)------------------------------
% 5.86/1.18  % (5151)------------------------------
% 6.15/1.19  % (5157)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2992ds/50Mi)
% 6.15/1.19  % (5155)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2992ds/182Mi)
% 6.15/1.19  % (5144)Instruction limit reached!
% 6.15/1.19  % (5144)------------------------------
% 6.15/1.19  % (5144)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.15/1.19  % (5144)Termination reason: Unknown
% 6.15/1.19  % (5144)Termination phase: Saturation
% 6.15/1.19  
% 6.15/1.19  % (5144)Memory used [KB]: 6652
% 6.15/1.19  % (5144)Time elapsed: 0.152 s
% 6.15/1.19  % (5144)Instructions burned: 460 (million)
% 6.15/1.19  % (5144)------------------------------
% 6.15/1.19  % (5144)------------------------------
% 6.15/1.19  % (5155)Refutation not found, incomplete strategy
% 6.15/1.19  % (5155)------------------------------
% 6.15/1.19  % (5155)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.15/1.19  % (5155)Termination reason: Refutation not found, incomplete strategy
% 6.15/1.19  
% 6.15/1.19  
% 6.15/1.19  % (5155)Memory used [KB]: 5500
% 6.15/1.19  % (5155)Time elapsed: 0.008 s
% 6.15/1.19  % (5155)Instructions burned: 13 (million)
% 6.15/1.19  % (5150)Instruction limit reached!
% 6.15/1.19  % (5150)------------------------------
% 6.15/1.19  % (5150)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.15/1.19  % (5150)Termination reason: Unknown
% 6.15/1.19  % (5150)Termination phase: Saturation
% 6.15/1.19  
% 6.15/1.19  % (5150)Memory used [KB]: 6268
% 6.15/1.19  % (5150)Time elapsed: 0.063 s
% 6.15/1.19  % (5150)Instructions burned: 157 (million)
% 6.15/1.19  % (5150)------------------------------
% 6.15/1.19  % (5150)------------------------------
% 6.15/1.19  % (5155)------------------------------
% 6.15/1.19  % (5155)------------------------------
% 6.15/1.20  % (5156)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2992ds/164Mi)
% 6.15/1.20  % (5158)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2991ds/368Mi)
% 6.15/1.20  % (5157)Refutation not found, incomplete strategy
% 6.15/1.20  % (5157)------------------------------
% 6.15/1.20  % (5157)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.15/1.20  % (5157)Termination reason: Refutation not found, incomplete strategy
% 6.15/1.20  
% 6.15/1.20  
% 6.15/1.20  % (5157)Memory used [KB]: 10234
% 6.15/1.20  % (5157)Time elapsed: 0.014 s
% 6.15/1.20  % (5157)Instructions burned: 39 (million)
% 6.15/1.20  % (5157)------------------------------
% 6.15/1.20  % (5157)------------------------------
% 6.15/1.20  % (5159)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2991ds/1021Mi)
% 6.15/1.21  % (5161)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2991ds/204Mi)
% 6.15/1.21  % (5160)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2991ds/267Mi)
% 6.15/1.21  % (5153)Instruction limit reached!
% 6.15/1.21  % (5153)------------------------------
% 6.15/1.21  % (5153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.15/1.21  % (5153)Termination reason: Unknown
% 6.15/1.21  % (5153)Termination phase: Saturation
% 6.15/1.21  
% 6.15/1.21  % (5153)Memory used [KB]: 6140
% 6.15/1.21  % (5153)Time elapsed: 0.045 s
% 6.15/1.21  % (5153)Instructions burned: 114 (million)
% 6.15/1.21  % (5153)------------------------------
% 6.15/1.21  % (5153)------------------------------
% 6.38/1.23  % (5162)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2991ds/26Mi)
% 6.38/1.24  % (5162)Refutation not found, incomplete strategy
% 6.38/1.24  % (5162)------------------------------
% 6.38/1.24  % (5162)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.38/1.24  % (5162)Termination reason: Refutation not found, incomplete strategy
% 6.38/1.24  
% 6.38/1.24  
% 6.38/1.24  % (5162)Memory used [KB]: 5500
% 6.38/1.24  % (5162)Time elapsed: 0.009 s
% 6.38/1.24  % (5162)Instructions burned: 13 (million)
% 6.38/1.24  % (5162)------------------------------
% 6.38/1.24  % (5162)------------------------------
% 6.40/1.26  % (5163)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2991ds/53Mi)
% 6.40/1.27  % (5161)Instruction limit reached!
% 6.40/1.27  % (5161)------------------------------
% 6.40/1.27  % (5161)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.40/1.27  % (5161)Termination reason: Unknown
% 6.40/1.27  % (5161)Termination phase: Saturation
% 6.40/1.27  
% 6.40/1.27  % (5161)Memory used [KB]: 6268
% 6.40/1.27  % (5161)Time elapsed: 0.065 s
% 6.40/1.27  % (5161)Instructions burned: 205 (million)
% 6.40/1.27  % (5161)------------------------------
% 6.40/1.27  % (5161)------------------------------
% 6.40/1.27  % (5156)Instruction limit reached!
% 6.40/1.27  % (5156)------------------------------
% 6.40/1.27  % (5156)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.40/1.27  % (5156)Termination reason: Unknown
% 6.40/1.27  % (5156)Termination phase: Saturation
% 6.40/1.27  
% 6.40/1.27  % (5156)Memory used [KB]: 1663
% 6.40/1.27  % (5156)Time elapsed: 0.081 s
% 6.40/1.27  % (5156)Instructions burned: 164 (million)
% 6.40/1.27  % (5156)------------------------------
% 6.40/1.27  % (5156)------------------------------
% 6.40/1.28  % (5164)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2991ds/4436Mi)
% 6.40/1.28  % (5163)Instruction limit reached!
% 6.40/1.28  % (5163)------------------------------
% 6.40/1.28  % (5163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.40/1.28  % (5163)Termination reason: Unknown
% 6.40/1.28  % (5163)Termination phase: Saturation
% 6.40/1.28  
% 6.40/1.28  % (5163)Memory used [KB]: 6012
% 6.40/1.28  % (5163)Time elapsed: 0.025 s
% 6.40/1.28  % (5163)Instructions burned: 54 (million)
% 6.40/1.28  % (5163)------------------------------
% 6.40/1.28  % (5163)------------------------------
% 6.40/1.29  % (5165)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2991ds/1539Mi)
% 6.40/1.29  % (5166)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2991ds/408Mi)
% 6.40/1.30  % (5160)Instruction limit reached!
% 6.40/1.30  % (5160)------------------------------
% 6.40/1.30  % (5160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.40/1.30  % (5160)Termination reason: Unknown
% 6.40/1.30  % (5160)Termination phase: Saturation
% 6.40/1.30  
% 6.40/1.30  % (5160)Memory used [KB]: 6396
% 6.40/1.30  % (5160)Time elapsed: 0.092 s
% 6.40/1.30  % (5160)Instructions burned: 267 (million)
% 6.40/1.30  % (5160)------------------------------
% 6.40/1.30  % (5160)------------------------------
% 6.40/1.31  % (5167)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2990ds/5205Mi)
% 6.77/1.31  % (5158)Instruction limit reached!
% 6.77/1.31  % (5158)------------------------------
% 6.77/1.31  % (5158)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.77/1.31  % (5158)Termination reason: Unknown
% 6.77/1.31  % (5158)Termination phase: Saturation
% 6.77/1.31  
% 6.77/1.31  % (5158)Memory used [KB]: 7036
% 6.77/1.31  % (5158)Time elapsed: 0.116 s
% 6.77/1.31  % (5158)Instructions burned: 371 (million)
% 6.77/1.31  % (5158)------------------------------
% 6.77/1.31  % (5158)------------------------------
% 6.77/1.32  % (5168)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2990ds/1913Mi)
% 7.03/1.46  % (5166)Instruction limit reached!
% 7.03/1.46  % (5166)------------------------------
% 7.03/1.46  % (5166)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.03/1.46  % (5166)Termination reason: Unknown
% 7.03/1.46  % (5166)Termination phase: Saturation
% 7.03/1.46  
% 7.03/1.46  % (5166)Memory used [KB]: 6780
% 7.03/1.46  % (5166)Time elapsed: 0.166 s
% 7.03/1.46  % (5166)Instructions burned: 409 (million)
% 7.03/1.46  % (5166)------------------------------
% 7.03/1.46  % (5166)------------------------------
% 7.03/1.47  % (5169)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2989ds/4350Mi)
% 7.24/1.49  % (5147)First to succeed.
% 7.24/1.49  % (5147)Refutation found. Thanks to Tanya!
% 7.24/1.49  % SZS status Theorem for theBenchmark
% 7.24/1.49  % SZS output start Proof for theBenchmark
% See solution above
% 7.24/1.49  % (5147)------------------------------
% 7.24/1.49  % (5147)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.24/1.49  % (5147)Termination reason: Refutation
% 7.24/1.49  
% 7.24/1.49  % (5147)Memory used [KB]: 7419
% 7.24/1.49  % (5147)Time elapsed: 0.425 s
% 7.24/1.49  % (5147)Instructions burned: 944 (million)
% 7.24/1.49  % (5147)------------------------------
% 7.24/1.49  % (5147)------------------------------
% 7.24/1.49  % (5068)Success in time 1.101 s
% 7.24/1.49  % Vampire---4.8 exiting
%------------------------------------------------------------------------------