TSTP Solution File: SEV245^6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV245^6 : TPTP v8.2.0. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 04:12:31 EDT 2024

% Result   : Theorem 2.98s 0.77s
% Output   : Refutation 2.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   53 (  29 unt;   8 typ;   0 def)
%            Number of atoms       :  325 (  59 equ;   0 cnn)
%            Maximal formula atoms :    5 (   7 avg)
%            Number of connectives :  718 (   4   ~;  18   |;  32   &; 472   @)
%                                         (   0 <=>; 100  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  107 ( 107   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   6 usr;   6 con; 0-2 aty)
%                                         (  70  !!;  22  ??;   0 @@+;   0 @@-)
%            Number of variables   :  167 ( 112   ^  48   !;   6   ?; 167   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

thf(func_def_14,type,
    ph0: 
      !>[X0: $tType] : X0 ).

thf(func_def_15,type,
    sK1: a ).

thf(func_def_16,type,
    sK2: a > $o ).

thf(func_def_17,type,
    sK3: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_18,type,
    sK4: a ).

thf(f333,plain,
    $false,
    inference(trivial_inequality_removal,[],[f332]) ).

thf(f332,plain,
    $false = $true,
    inference(backward_demodulation,[],[f298,f331]) ).

thf(f331,plain,
    ( $false
    = ( sK2 @ sK4 ) ),
    inference(trivial_inequality_removal,[],[f324]) ).

thf(f324,plain,
    ( ( $false = $true )
    | ( $false
      = ( sK2 @ sK4 ) ) ),
    inference(superposition,[],[f301,f21]) ).

thf(f21,plain,
    ( $true
    = ( !! @ a
      @ ^ [Y0: a] :
          ( ( sK2 @ Y0 )
         => ( cK @ sK2 @ Y0 ) ) ) ),
    inference(binary_proxy_clausification,[],[f20]) ).

thf(f20,plain,
    ( ( ( sK2 @ sK1 )
      & ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( cK @ sK2 @ Y0 ) ) ) )
    = $true ),
    inference(beta_eta_normalization,[],[f19]) ).

thf(f19,plain,
    ( $true
    = ( ^ [Y0: a > $o] :
          ( ( Y0 @ sK1 )
          & ( !! @ a
            @ ^ [Y1: a] :
                ( ( Y0 @ Y1 )
               => ( cK @ Y0 @ Y1 ) ) ) )
      @ sK2 ) ),
    inference(sigma_clausification,[],[f18]) ).

thf(f18,plain,
    ( ( ?? @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( ( Y0 @ sK1 )
          & ( !! @ a
            @ ^ [Y1: a] :
                ( ( Y0 @ Y1 )
               => ( cK @ Y0 @ Y1 ) ) ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f16]) ).

thf(f16,plain,
    ( $false
    = ( ( ?? @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( Y0 @ sK1 )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( cK @ Y0 @ Y1 ) ) ) ) )
     => ( cK
        @ ^ [Y0: a] :
            ( ?? @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( Y1 @ Y0 )
                & ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                     => ( cK @ Y1 @ Y2 ) ) ) ) )
        @ sK1 ) ) ),
    inference(beta_eta_normalization,[],[f15]) ).

thf(f15,plain,
    ( $false
    = ( ^ [Y0: a] :
          ( ( ?? @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( Y1 @ Y0 )
                & ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                     => ( cK @ Y1 @ Y2 ) ) ) ) )
         => ( cK
            @ ^ [Y1: a] :
                ( ?? @ ( a > $o )
                @ ^ [Y2: a > $o] :
                    ( ( Y2 @ Y1 )
                    & ( !! @ a
                      @ ^ [Y3: a] :
                          ( ( Y2 @ Y3 )
                         => ( cK @ Y2 @ Y3 ) ) ) ) )
            @ Y0 ) )
      @ sK1 ) ),
    inference(sigma_clausification,[],[f8]) ).

thf(f8,plain,
    ( $false
    = ( !! @ a
      @ ^ [Y0: a] :
          ( ( ?? @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( Y1 @ Y0 )
                & ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                     => ( cK @ Y1 @ Y2 ) ) ) ) )
         => ( cK
            @ ^ [Y1: a] :
                ( ?? @ ( a > $o )
                @ ^ [Y2: a > $o] :
                    ( ( Y2 @ Y1 )
                    & ( !! @ a
                      @ ^ [Y3: a] :
                          ( ( Y2 @ Y3 )
                         => ( cK @ Y2 @ Y3 ) ) ) ) )
            @ Y0 ) ) ) ),
    inference(binary_proxy_clausification,[],[f7]) ).

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

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

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

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

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

thf(f1,conjecture,
    ( ! [X0: a > $o,X1: a > $o] :
        ( ! [X2: a] :
            ( ( X0 @ X2 )
           => ( X1 @ X2 ) )
       => ! [X2: a] :
            ( ( cK @ X0 @ X2 )
           => ( cK @ X1 @ X2 ) ) )
   => ! [X2: a] :
        ( ? [X3: a > $o] :
            ( ! [X4: a] :
                ( ( X3 @ X4 )
               => ( cK @ X3 @ X4 ) )
            & ( X3 @ X2 ) )
       => ( cK
          @ ^ [X4: a] :
            ? [X3: a > $o] :
              ( ! [X5: a] :
                  ( ( X3 @ X5 )
                 => ( cK @ X3 @ X5 ) )
              & ( X3 @ X4 ) )
          @ X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM116_2S) ).

thf(f301,plain,
    ! [X1: a > $o] :
      ( ( ( !! @ a
          @ ^ [Y0: a] :
              ( ( X1 @ Y0 )
             => ( cK @ X1 @ Y0 ) ) )
        = $false )
      | ( $false
        = ( X1 @ sK4 ) ) ),
    inference(binary_proxy_clausification,[],[f300]) ).

thf(f300,plain,
    ! [X1: a > $o] :
      ( $false
      = ( ( X1 @ sK4 )
        & ( !! @ a
          @ ^ [Y0: a] :
              ( ( X1 @ Y0 )
             => ( cK @ X1 @ Y0 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f299]) ).

thf(f299,plain,
    ! [X1: a > $o] :
      ( $false
      = ( ^ [Y0: a > $o] :
            ( ( Y0 @ sK4 )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( cK @ Y0 @ Y1 ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f297]) ).

thf(f297,plain,
    ( $false
    = ( ?? @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( ( Y0 @ sK4 )
          & ( !! @ a
            @ ^ [Y1: a] :
                ( ( Y0 @ Y1 )
               => ( cK @ Y0 @ Y1 ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f296]) ).

thf(f296,plain,
    ( $false
    = ( ( sK2 @ sK4 )
     => ( ?? @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( Y0 @ sK4 )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( cK @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f295]) ).

thf(f295,plain,
    ( $false
    = ( ^ [Y0: a] :
          ( ( sK2 @ Y0 )
         => ( ?? @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( Y1 @ Y0 )
                & ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                     => ( cK @ Y1 @ Y2 ) ) ) ) ) )
      @ sK4 ) ),
    inference(sigma_clausification,[],[f294]) ).

thf(f294,plain,
    ( $false
    = ( !! @ a
      @ ^ [Y0: a] :
          ( ( sK2 @ Y0 )
         => ( ?? @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( Y1 @ Y0 )
                & ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                     => ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f293]) ).

thf(f293,plain,
    ( ( $false = $true )
    | ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( Y1 @ Y0 )
                  & ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) ) ),
    inference(forward_demodulation,[],[f277,f22]) ).

thf(f22,plain,
    ( $true
    = ( sK2 @ sK1 ) ),
    inference(binary_proxy_clausification,[],[f20]) ).

thf(f277,plain,
    ( ( $false
      = ( sK2 @ sK1 ) )
    | ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( Y1 @ Y0 )
                  & ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f276]) ).

thf(f276,plain,
    ( ( $false
      = ( sK2 @ sK1 ) )
    | ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( ^ [Y1: a] :
                  ( ?? @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( ( Y2 @ Y1 )
                      & ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( Y2 @ Y3 )
                           => ( cK @ Y2 @ Y3 ) ) ) ) )
              @ Y0 ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f264]) ).

thf(f264,plain,
    ( ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( ^ [Y1: a] :
                  ( ?? @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( ( Y2 @ Y1 )
                      & ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( Y2 @ Y3 )
                           => ( cK @ Y2 @ Y3 ) ) ) ) )
              @ Y0 ) ) ) )
    | ( $false
      = ( sK2 @ sK1 ) )
    | ( $false = $true ) ),
    inference(superposition,[],[f54,f17]) ).

thf(f17,plain,
    ( ( cK
      @ ^ [Y0: a] :
          ( ?? @ ( a > $o )
          @ ^ [Y1: a > $o] :
              ( ( Y1 @ Y0 )
              & ( !! @ a
                @ ^ [Y2: a] :
                    ( ( Y1 @ Y2 )
                   => ( cK @ Y1 @ Y2 ) ) ) ) )
      @ sK1 )
    = $false ),
    inference(binary_proxy_clausification,[],[f16]) ).

thf(f54,plain,
    ! [X0: a,X1: a > $o] :
      ( ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK2 @ Y0 )
             => ( X1 @ Y0 ) ) ) )
      | ( ( cK @ X1 @ X0 )
        = $true )
      | ( $false
        = ( sK2 @ X0 ) ) ),
    inference(trivial_inequality_removal,[],[f39]) ).

thf(f39,plain,
    ! [X0: a,X1: a > $o] :
      ( ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK2 @ Y0 )
             => ( X1 @ Y0 ) ) ) )
      | ( ( cK @ X1 @ X0 )
        = $true )
      | ( $false = $true )
      | ( $false
        = ( sK2 @ X0 ) ) ),
    inference(superposition,[],[f25,f28]) ).

thf(f28,plain,
    ! [X2: a > $o,X3: a,X1: a > $o] :
      ( ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( X2 @ Y0 )
             => ( X1 @ Y0 ) ) ) )
      | ( $true
        = ( cK @ X1 @ X3 ) )
      | ( $false
        = ( cK @ X2 @ X3 ) ) ),
    inference(binary_proxy_clausification,[],[f27]) ).

thf(f27,plain,
    ! [X2: a > $o,X3: a,X1: a > $o] :
      ( ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( X2 @ Y0 )
             => ( X1 @ Y0 ) ) ) )
      | ( $true
        = ( ( cK @ X2 @ X3 )
         => ( cK @ X1 @ X3 ) ) ) ),
    inference(beta_eta_normalization,[],[f26]) ).

thf(f26,plain,
    ! [X2: a > $o,X3: a,X1: a > $o] :
      ( ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( X2 @ Y0 )
             => ( X1 @ Y0 ) ) ) )
      | ( $true
        = ( ^ [Y0: a] :
              ( ( cK @ X2 @ Y0 )
             => ( cK @ X1 @ Y0 ) )
          @ X3 ) ) ),
    inference(pi_clausification,[],[f14]) ).

thf(f14,plain,
    ! [X2: a > $o,X1: a > $o] :
      ( ( ( !! @ a
          @ ^ [Y0: a] :
              ( ( cK @ X2 @ Y0 )
             => ( cK @ X1 @ Y0 ) ) )
        = $true )
      | ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( X2 @ Y0 )
             => ( X1 @ Y0 ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f13]) ).

thf(f13,plain,
    ! [X2: a > $o,X1: a > $o] :
      ( ( ( !! @ a
          @ ^ [Y0: a] :
              ( ( X2 @ Y0 )
             => ( X1 @ Y0 ) ) )
       => ( !! @ a
          @ ^ [Y0: a] :
              ( ( cK @ X2 @ Y0 )
             => ( cK @ X1 @ Y0 ) ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f12]) ).

thf(f12,plain,
    ! [X2: a > $o,X1: a > $o] :
      ( ( ^ [Y0: a > $o] :
            ( ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( X1 @ Y1 ) ) )
           => ( !! @ a
              @ ^ [Y1: a] :
                  ( ( cK @ Y0 @ Y1 )
                 => ( cK @ X1 @ Y1 ) ) ) )
        @ X2 )
      = $true ),
    inference(pi_clausification,[],[f11]) ).

thf(f11,plain,
    ! [X1: a > $o] :
      ( $true
      = ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( X1 @ Y1 ) ) )
           => ( !! @ a
              @ ^ [Y1: a] :
                  ( ( cK @ Y0 @ Y1 )
                 => ( cK @ X1 @ Y1 ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f10]) ).

thf(f10,plain,
    ! [X1: a > $o] :
      ( $true
      = ( ^ [Y0: a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                     => ( Y0 @ Y2 ) ) )
               => ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( cK @ Y1 @ Y2 )
                     => ( cK @ Y0 @ Y2 ) ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f9]) ).

thf(f9,plain,
    ( ( !! @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( !! @ ( a > $o )
          @ ^ [Y1: a > $o] :
              ( ( !! @ a
                @ ^ [Y2: a] :
                    ( ( Y1 @ Y2 )
                   => ( Y0 @ Y2 ) ) )
             => ( !! @ a
                @ ^ [Y2: a] :
                    ( ( cK @ Y1 @ Y2 )
                   => ( cK @ Y0 @ Y2 ) ) ) ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f7]) ).

thf(f25,plain,
    ! [X1: a] :
      ( ( $true
        = ( cK @ sK2 @ X1 ) )
      | ( $false
        = ( sK2 @ X1 ) ) ),
    inference(binary_proxy_clausification,[],[f24]) ).

thf(f24,plain,
    ! [X1: a] :
      ( ( ( sK2 @ X1 )
       => ( cK @ sK2 @ X1 ) )
      = $true ),
    inference(beta_eta_normalization,[],[f23]) ).

thf(f23,plain,
    ! [X1: a] :
      ( $true
      = ( ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( cK @ sK2 @ Y0 ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f21]) ).

thf(f298,plain,
    ( $true
    = ( sK2 @ sK4 ) ),
    inference(binary_proxy_clausification,[],[f296]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SEV245^6 : TPTP v8.2.0. Released v5.1.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.38  % Computer : n024.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit   : 300
% 0.14/0.38  % WCLimit    : 300
% 0.14/0.38  % DateTime   : Sun May 19 18:52:53 EDT 2024
% 0.14/0.38  % CPUTime    : 
% 0.14/0.38  This is a TH0_THM_NEQ_NAR problem
% 0.14/0.38  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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40  % (31886)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 (3000ds/4Mi)
% 0.14/0.40  % (31885)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.40  % (31887)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 (3000ds/27Mi)
% 0.14/0.40  % (31888)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.40  % (31889)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 (3000ds/2Mi)
% 0.14/0.40  % (31890)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 (3000ds/275Mi)
% 0.14/0.40  % (31891)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.40  % (31892)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.14/0.40  % (31888)Instruction limit reached!
% 0.14/0.40  % (31888)------------------------------
% 0.14/0.40  % (31888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (31888)Termination reason: Unknown
% 0.14/0.40  % (31888)Termination phase: Saturation
% 0.14/0.40  % (31889)Instruction limit reached!
% 0.14/0.40  % (31889)------------------------------
% 0.14/0.40  % (31889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (31889)Termination reason: Unknown
% 0.14/0.40  % (31889)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (31889)Memory used [KB]: 895
% 0.14/0.40  % (31889)Time elapsed: 0.003 s
% 0.14/0.40  % (31889)Instructions burned: 2 (million)
% 0.14/0.40  % (31889)------------------------------
% 0.14/0.40  % (31889)------------------------------
% 0.14/0.40  
% 0.14/0.40  % (31888)Memory used [KB]: 1023
% 0.14/0.40  % (31888)Time elapsed: 0.003 s
% 0.14/0.40  % (31888)Instructions burned: 2 (million)
% 0.14/0.40  % (31888)------------------------------
% 0.14/0.40  % (31888)------------------------------
% 0.14/0.40  % (31892)Instruction limit reached!
% 0.14/0.40  % (31892)------------------------------
% 0.14/0.40  % (31892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (31892)Termination reason: Unknown
% 0.14/0.40  % (31892)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (31892)Memory used [KB]: 5500
% 0.14/0.40  % (31892)Time elapsed: 0.004 s
% 0.14/0.40  % (31892)Instructions burned: 3 (million)
% 0.14/0.40  % (31892)------------------------------
% 0.14/0.40  % (31892)------------------------------
% 0.14/0.40  % (31886)Instruction limit reached!
% 0.14/0.40  % (31886)------------------------------
% 0.14/0.40  % (31886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (31886)Termination reason: Unknown
% 0.14/0.40  % (31886)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (31886)Memory used [KB]: 5500
% 0.14/0.40  % (31886)Time elapsed: 0.005 s
% 0.14/0.40  % (31886)Instructions burned: 5 (million)
% 0.14/0.40  % (31886)------------------------------
% 0.14/0.40  % (31886)------------------------------
% 0.14/0.41  % (31891)Instruction limit reached!
% 0.14/0.41  % (31891)------------------------------
% 0.14/0.41  % (31891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (31891)Termination reason: Unknown
% 0.14/0.41  % (31891)Termination phase: Saturation
% 0.14/0.41  
% 0.14/0.41  % (31891)Memory used [KB]: 5628
% 0.14/0.41  % (31891)Time elapsed: 0.013 s
% 0.14/0.41  % (31891)Instructions burned: 19 (million)
% 0.14/0.41  % (31891)------------------------------
% 0.14/0.41  % (31891)------------------------------
% 0.14/0.41  % (31893)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.41  % (31894)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.41  % (31887)Instruction limit reached!
% 0.14/0.41  % (31887)------------------------------
% 0.14/0.41  % (31887)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (31887)Termination reason: Unknown
% 0.14/0.41  % (31887)Termination phase: Saturation
% 0.14/0.41  
% 0.14/0.41  % (31887)Memory used [KB]: 5628
% 0.14/0.41  % (31887)Time elapsed: 0.018 s
% 0.14/0.41  % (31887)Instructions burned: 27 (million)
% 0.14/0.41  % (31887)------------------------------
% 0.14/0.41  % (31887)------------------------------
% 0.14/0.41  % (31895)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.41  % (31896)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.14/0.42  % (31895)Instruction limit reached!
% 0.14/0.42  % (31895)------------------------------
% 0.14/0.42  % (31895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42  % (31895)Termination reason: Unknown
% 0.14/0.42  % (31895)Termination phase: Saturation
% 0.14/0.42  
% 0.14/0.42  % (31895)Memory used [KB]: 5500
% 0.14/0.42  % (31895)Time elapsed: 0.025 s
% 0.14/0.42  % (31895)Instructions burned: 4 (million)
% 0.14/0.42  % (31895)------------------------------
% 0.14/0.42  % (31895)------------------------------
% 0.23/0.42  % (31894)Instruction limit reached!
% 0.23/0.42  % (31894)------------------------------
% 0.23/0.42  % (31894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (31894)Termination reason: Unknown
% 0.23/0.42  % (31894)Termination phase: Saturation
% 0.23/0.42  
% 0.23/0.42  % (31894)Memory used [KB]: 5628
% 0.23/0.42  % (31894)Time elapsed: 0.033 s
% 0.23/0.42  % (31894)Instructions burned: 16 (million)
% 0.23/0.42  % (31894)------------------------------
% 0.23/0.42  % (31894)------------------------------
% 0.23/0.42  % (31897)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.43  % (31897)Instruction limit reached!
% 0.23/0.43  % (31897)------------------------------
% 0.23/0.43  % (31897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43  % (31897)Termination reason: Unknown
% 0.23/0.43  % (31897)Termination phase: Saturation
% 0.23/0.43  
% 0.23/0.43  % (31897)Memory used [KB]: 1023
% 0.23/0.43  % (31897)Time elapsed: 0.029 s
% 0.23/0.43  % (31897)Instructions burned: 7 (million)
% 0.23/0.43  % (31897)------------------------------
% 0.23/0.43  % (31897)------------------------------
% 0.23/0.43  % (31898)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.43  % (31893)Instruction limit reached!
% 0.23/0.43  % (31893)------------------------------
% 0.23/0.43  % (31893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43  % (31893)Termination reason: Unknown
% 0.23/0.43  % (31893)Termination phase: Saturation
% 0.23/0.43  
% 0.23/0.43  % (31893)Memory used [KB]: 6140
% 0.23/0.43  % (31893)Time elapsed: 0.042 s
% 0.23/0.43  % (31893)Instructions burned: 37 (million)
% 0.23/0.43  % (31893)------------------------------
% 0.23/0.43  % (31893)------------------------------
% 0.23/0.43  % (31899)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)
% 0.23/0.43  % (31899)Instruction limit reached!
% 0.23/0.43  % (31899)------------------------------
% 0.23/0.43  % (31899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43  % (31899)Termination reason: Unknown
% 0.23/0.43  % (31899)Termination phase: Saturation
% 0.23/0.43  
% 0.23/0.43  % (31899)Memory used [KB]: 5500
% 0.23/0.43  % (31899)Time elapsed: 0.004 s
% 0.23/0.43  % (31899)Instructions burned: 4 (million)
% 0.23/0.43  % (31899)------------------------------
% 0.23/0.43  % (31899)------------------------------
% 0.23/0.44  % (31900)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)
% 0.23/0.44  % (31898)Instruction limit reached!
% 0.23/0.44  % (31898)------------------------------
% 0.23/0.44  % (31898)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (31898)Termination reason: Unknown
% 0.23/0.44  % (31898)Termination phase: Saturation
% 0.23/0.44  
% 0.23/0.44  % (31898)Memory used [KB]: 5756
% 0.23/0.44  % (31898)Time elapsed: 0.036 s
% 0.23/0.44  % (31898)Instructions burned: 16 (million)
% 0.23/0.44  % (31898)------------------------------
% 0.23/0.44  % (31898)------------------------------
% 0.23/0.44  % (31900)Instruction limit reached!
% 0.23/0.44  % (31900)------------------------------
% 0.23/0.44  % (31900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (31900)Termination reason: Unknown
% 0.23/0.44  % (31900)Termination phase: Saturation
% 0.23/0.44  
% 0.23/0.44  % (31900)Memory used [KB]: 5500
% 0.23/0.44  % (31900)Time elapsed: 0.004 s
% 0.23/0.44  % (31900)Instructions burned: 4 (million)
% 0.23/0.44  % (31900)------------------------------
% 0.23/0.44  % (31900)------------------------------
% 0.23/0.44  % (31901)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)
% 0.23/0.44  % (31901)Refutation not found, incomplete strategy
% 0.23/0.44  % (31901)------------------------------
% 0.23/0.44  % (31901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (31901)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44  
% 0.23/0.44  
% 0.23/0.44  % (31901)Memory used [KB]: 5500
% 0.23/0.44  % (31901)Time elapsed: 0.004 s
% 0.23/0.44  % (31901)Instructions burned: 4 (million)
% 0.23/0.44  % (31901)------------------------------
% 0.23/0.44  % (31901)------------------------------
% 0.23/0.44  % (31902)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)
% 0.23/0.45  % (31902)Instruction limit reached!
% 0.23/0.45  % (31902)------------------------------
% 0.23/0.45  % (31902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45  % (31903)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  % (31902)Termination reason: Unknown
% 0.23/0.45  % (31902)Termination phase: Saturation
% 0.23/0.45  
% 0.23/0.45  % (31902)Memory used [KB]: 5500
% 0.23/0.45  % (31902)Time elapsed: 0.004 s
% 0.23/0.45  % (31902)Instructions burned: 4 (million)
% 0.23/0.45  % (31902)------------------------------
% 0.23/0.45  % (31902)------------------------------
% 0.23/0.45  % (31903)Instruction limit reached!
% 0.23/0.45  % (31903)------------------------------
% 0.23/0.45  % (31903)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45  % (31903)Termination reason: Unknown
% 0.23/0.45  % (31903)Termination phase: Saturation
% 0.23/0.45  
% 0.23/0.45  % (31903)Memory used [KB]: 5500
% 0.23/0.45  % (31903)Time elapsed: 0.005 s
% 0.23/0.45  % (31903)Instructions burned: 5 (million)
% 0.23/0.45  % (31903)------------------------------
% 0.23/0.45  % (31903)------------------------------
% 0.23/0.45  % (31904)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  % (31905)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.46  % (31906)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.46  % (31907)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)
% 0.23/0.46  % (31904)Instruction limit reached!
% 0.23/0.46  % (31904)------------------------------
% 0.23/0.46  % (31904)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46  % (31904)Termination reason: Unknown
% 0.23/0.46  % (31904)Termination phase: Saturation
% 0.23/0.46  
% 0.23/0.46  % (31904)Memory used [KB]: 5628
% 0.23/0.46  % (31904)Time elapsed: 0.012 s
% 0.23/0.46  % (31904)Instructions burned: 18 (million)
% 0.23/0.46  % (31904)------------------------------
% 0.23/0.46  % (31904)------------------------------
% 0.23/0.46  % (31906)Instruction limit reached!
% 0.23/0.46  % (31906)------------------------------
% 0.23/0.46  % (31906)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46  % (31906)Termination reason: Unknown
% 0.23/0.46  % (31906)Termination phase: Saturation
% 0.23/0.46  
% 0.23/0.46  % (31906)Memory used [KB]: 5500
% 0.23/0.46  % (31906)Time elapsed: 0.006 s
% 0.23/0.46  % (31906)Instructions burned: 6 (million)
% 0.23/0.46  % (31906)------------------------------
% 0.23/0.46  % (31906)------------------------------
% 0.23/0.46  % (31908)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)
% 0.23/0.48  % (31909)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.48  % (31908)Instruction limit reached!
% 0.23/0.48  % (31908)------------------------------
% 0.23/0.48  % (31908)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48  % (31908)Termination reason: Unknown
% 0.23/0.48  % (31908)Termination phase: Saturation
% 0.23/0.48  
% 0.23/0.48  % (31908)Memory used [KB]: 5628
% 0.23/0.48  % (31908)Time elapsed: 0.014 s
% 0.23/0.48  % (31908)Instructions burned: 21 (million)
% 0.23/0.48  % (31908)------------------------------
% 0.23/0.48  % (31908)------------------------------
% 0.23/0.48  % (31910)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)
% 0.23/0.48  % (31909)Instruction limit reached!
% 0.23/0.48  % (31909)------------------------------
% 0.23/0.48  % (31909)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48  % (31909)Termination reason: Unknown
% 0.23/0.48  % (31909)Termination phase: Saturation
% 0.23/0.48  
% 0.23/0.48  % (31909)Memory used [KB]: 5500
% 0.23/0.48  % (31909)Time elapsed: 0.005 s
% 0.23/0.48  % (31909)Instructions burned: 6 (million)
% 0.23/0.48  % (31909)------------------------------
% 0.23/0.48  % (31909)------------------------------
% 0.23/0.48  % (31910)Instruction limit reached!
% 0.23/0.48  % (31910)------------------------------
% 0.23/0.48  % (31910)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48  % (31910)Termination reason: Unknown
% 0.23/0.48  % (31910)Termination phase: Saturation
% 0.23/0.48  
% 0.23/0.48  % (31910)Memory used [KB]: 5500
% 0.23/0.48  % (31910)Time elapsed: 0.005 s
% 0.23/0.48  % (31910)Instructions burned: 6 (million)
% 0.23/0.48  % (31910)------------------------------
% 0.23/0.48  % (31910)------------------------------
% 0.23/0.48  % (31885)Instruction limit reached!
% 0.23/0.48  % (31885)------------------------------
% 0.23/0.48  % (31885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48  % (31885)Termination reason: Unknown
% 0.23/0.48  % (31885)Termination phase: Saturation
% 0.23/0.48  
% 0.23/0.48  % (31885)Memory used [KB]: 6908
% 0.23/0.48  % (31885)Time elapsed: 0.089 s
% 0.23/0.48  % (31885)Instructions burned: 184 (million)
% 0.23/0.48  % (31885)------------------------------
% 0.23/0.48  % (31885)------------------------------
% 0.23/0.49  % (31911)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.23/0.49  % (31912)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)
% 0.23/0.49  % (31913)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)
% 0.23/0.50  % (31914)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  % (31913)Instruction limit reached!
% 0.23/0.50  % (31913)------------------------------
% 0.23/0.50  % (31913)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50  % (31913)Termination reason: Unknown
% 0.23/0.50  % (31913)Termination phase: Saturation
% 0.23/0.50  
% 0.23/0.50  % (31913)Memory used [KB]: 5628
% 0.23/0.50  % (31913)Time elapsed: 0.012 s
% 0.23/0.50  % (31913)Instructions burned: 19 (million)
% 0.23/0.50  % (31913)------------------------------
% 0.23/0.50  % (31913)------------------------------
% 0.23/0.52  % (31915)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.23/0.53  % (31915)Instruction limit reached!
% 0.23/0.53  % (31915)------------------------------
% 0.23/0.53  % (31915)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.53  % (31915)Termination reason: Unknown
% 0.23/0.53  % (31915)Termination phase: Saturation
% 0.23/0.53  
% 0.23/0.53  % (31915)Memory used [KB]: 5628
% 0.23/0.53  % (31915)Time elapsed: 0.013 s
% 0.23/0.53  % (31915)Instructions burned: 18 (million)
% 0.23/0.53  % (31915)------------------------------
% 0.23/0.53  % (31915)------------------------------
% 0.23/0.54  % (31890)Instruction limit reached!
% 0.23/0.54  % (31890)------------------------------
% 0.23/0.54  % (31890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.54  % (31890)Termination reason: Unknown
% 0.23/0.54  % (31890)Termination phase: Saturation
% 0.23/0.54  
% 0.23/0.54  % (31890)Memory used [KB]: 6140
% 0.23/0.54  % (31890)Time elapsed: 0.142 s
% 0.23/0.54  % (31890)Instructions burned: 276 (million)
% 0.23/0.54  % (31890)------------------------------
% 0.23/0.54  % (31890)------------------------------
% 0.23/0.54  % (31916)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.23/0.55  % (31916)Instruction limit reached!
% 0.23/0.55  % (31916)------------------------------
% 0.23/0.55  % (31916)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.55  % (31916)Termination reason: Unknown
% 0.23/0.55  % (31916)Termination phase: Saturation
% 0.23/0.55  
% 0.23/0.55  % (31916)Memory used [KB]: 5500
% 0.23/0.55  % (31916)Time elapsed: 0.004 s
% 0.23/0.55  % (31916)Instructions burned: 4 (million)
% 0.23/0.55  % (31916)------------------------------
% 0.23/0.55  % (31916)------------------------------
% 0.23/0.55  % (31917)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.23/0.56  % (31918)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)
% 1.60/0.57  % (31917)Instruction limit reached!
% 1.60/0.57  % (31917)------------------------------
% 1.60/0.57  % (31917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.60/0.57  % (31917)Termination reason: Unknown
% 1.60/0.57  % (31917)Termination phase: Saturation
% 1.60/0.57  
% 1.60/0.57  % (31917)Memory used [KB]: 5628
% 1.60/0.57  % (31917)Time elapsed: 0.019 s
% 1.60/0.57  % (31917)Instructions burned: 30 (million)
% 1.60/0.57  % (31917)------------------------------
% 1.60/0.57  % (31917)------------------------------
% 1.60/0.58  % (31919)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.81/0.62  % (31918)Instruction limit reached!
% 1.81/0.62  % (31918)------------------------------
% 1.81/0.62  % (31918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.81/0.63  % (31918)Termination reason: Unknown
% 1.81/0.63  % (31918)Termination phase: Saturation
% 1.81/0.63  
% 1.81/0.63  % (31918)Memory used [KB]: 6012
% 1.81/0.63  % (31918)Time elapsed: 0.066 s
% 1.81/0.63  % (31918)Instructions burned: 127 (million)
% 1.81/0.63  % (31918)------------------------------
% 1.81/0.63  % (31918)------------------------------
% 1.81/0.63  % (31919)Instruction limit reached!
% 1.81/0.63  % (31919)------------------------------
% 1.81/0.63  % (31919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.81/0.63  % (31919)Termination reason: Unknown
% 1.81/0.63  % (31919)Termination phase: Saturation
% 1.81/0.63  
% 1.81/0.63  % (31919)Memory used [KB]: 5756
% 1.81/0.63  % (31919)Time elapsed: 0.053 s
% 1.81/0.63  % (31919)Instructions burned: 101 (million)
% 1.81/0.63  % (31919)------------------------------
% 1.81/0.63  % (31919)------------------------------
% 1.81/0.64  % (31920)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.81/0.64  % (31920)Instruction limit reached!
% 1.81/0.64  % (31920)------------------------------
% 1.81/0.64  % (31920)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.81/0.64  % (31920)Termination reason: Unknown
% 1.81/0.64  % (31920)Termination phase: Saturation
% 1.81/0.64  
% 1.81/0.64  % (31920)Memory used [KB]: 5500
% 1.81/0.64  % (31920)Time elapsed: 0.003 s
% 1.81/0.64  % (31920)Instructions burned: 3 (million)
% 1.81/0.64  % (31920)------------------------------
% 1.81/0.64  % (31920)------------------------------
% 2.24/0.65  % (31921)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 2.24/0.65  % (31922)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.24/0.66  % (31921)Instruction limit reached!
% 2.24/0.66  % (31921)------------------------------
% 2.24/0.66  % (31921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.24/0.66  % (31921)Termination reason: Unknown
% 2.24/0.66  % (31921)Termination phase: Saturation
% 2.24/0.66  
% 2.24/0.66  % (31921)Memory used [KB]: 5628
% 2.24/0.66  % (31921)Time elapsed: 0.013 s
% 2.24/0.66  % (31921)Instructions burned: 21 (million)
% 2.24/0.66  % (31921)------------------------------
% 2.24/0.66  % (31921)------------------------------
% 2.24/0.67  % (31923)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.24/0.67  % (31911)Instruction limit reached!
% 2.24/0.67  % (31911)------------------------------
% 2.24/0.67  % (31911)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.24/0.67  % (31911)Termination reason: Unknown
% 2.24/0.67  % (31911)Termination phase: Saturation
% 2.24/0.67  
% 2.24/0.67  % (31911)Memory used [KB]: 6268
% 2.24/0.67  % (31911)Time elapsed: 0.184 s
% 2.24/0.67  % (31911)Instructions burned: 377 (million)
% 2.24/0.67  % (31911)------------------------------
% 2.24/0.67  % (31911)------------------------------
% 2.24/0.69  % (31924)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.24/0.70  % (31922)Instruction limit reached!
% 2.24/0.70  % (31922)------------------------------
% 2.24/0.70  % (31922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.24/0.70  % (31922)Termination reason: Unknown
% 2.24/0.70  % (31922)Termination phase: Saturation
% 2.24/0.70  
% 2.24/0.70  % (31922)Memory used [KB]: 6140
% 2.24/0.70  % (31922)Time elapsed: 0.044 s
% 2.24/0.70  % (31922)Instructions burned: 86 (million)
% 2.24/0.70  % (31922)------------------------------
% 2.24/0.70  % (31922)------------------------------
% 2.60/0.71  % (31924)Instruction limit reached!
% 2.60/0.71  % (31924)------------------------------
% 2.60/0.71  % (31924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.71  % (31924)Termination reason: Unknown
% 2.60/0.71  % (31924)Termination phase: Saturation
% 2.60/0.71  
% 2.60/0.71  % (31924)Memory used [KB]: 5756
% 2.60/0.71  % (31924)Time elapsed: 0.021 s
% 2.60/0.71  % (31924)Instructions burned: 39 (million)
% 2.60/0.71  % (31924)------------------------------
% 2.60/0.71  % (31924)------------------------------
% 2.60/0.71  % (31925)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 (2996ds/448Mi)
% 2.60/0.72  % (31926)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 (2996ds/46Mi)
% 2.60/0.72  % (31923)Instruction limit reached!
% 2.60/0.72  % (31923)------------------------------
% 2.60/0.72  % (31923)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.72  % (31923)Termination reason: Unknown
% 2.60/0.72  % (31923)Termination phase: Saturation
% 2.60/0.72  
% 2.60/0.72  % (31923)Memory used [KB]: 5756
% 2.60/0.72  % (31923)Time elapsed: 0.052 s
% 2.60/0.72  % (31923)Instructions burned: 108 (million)
% 2.60/0.72  % (31923)------------------------------
% 2.60/0.72  % (31923)------------------------------
% 2.60/0.74  % (31927)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 (2996ds/98Mi)
% 2.60/0.74  % (31926)Instruction limit reached!
% 2.60/0.74  % (31926)------------------------------
% 2.60/0.74  % (31926)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.74  % (31926)Termination reason: Unknown
% 2.60/0.74  % (31926)Termination phase: Saturation
% 2.60/0.74  
% 2.60/0.74  % (31926)Memory used [KB]: 5756
% 2.60/0.74  % (31926)Time elapsed: 0.027 s
% 2.60/0.74  % (31926)Instructions burned: 47 (million)
% 2.60/0.74  % (31926)------------------------------
% 2.60/0.74  % (31926)------------------------------
% 2.98/0.76  % (31928)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 (2996ds/507Mi)
% 2.98/0.77  % (31927)First to succeed.
% 2.98/0.77  % (31927)Refutation found. Thanks to Tanya!
% 2.98/0.77  % SZS status Theorem for theBenchmark
% 2.98/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 2.98/0.77  % (31927)------------------------------
% 2.98/0.77  % (31927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/0.77  % (31927)Termination reason: Refutation
% 2.98/0.77  
% 2.98/0.77  % (31927)Memory used [KB]: 1279
% 2.98/0.77  % (31927)Time elapsed: 0.037 s
% 2.98/0.77  % (31927)Instructions burned: 69 (million)
% 2.98/0.77  % (31927)------------------------------
% 2.98/0.77  % (31927)------------------------------
% 2.98/0.77  % (31884)Success in time 0.38 s
% 2.98/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------