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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV245^6 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n009.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 : Sun May  5 09:41:53 EDT 2024

% Result   : Theorem 2.15s 0.69s
% Output   : Refutation 2.15s
% 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(f335,plain,
    $false,
    inference(trivial_inequality_removal,[],[f334]) ).

thf(f334,plain,
    $false = $true,
    inference(backward_demodulation,[],[f298,f329]) ).

thf(f329,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,
    ( $true
    = ( ( sK2 @ sK1 )
      & ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( cK @ sK2 @ Y0 ) ) ) ) ),
    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/sandbox/tmp/tmp.W1Iq3DAe0k/Vampire---4.8_5733',cTHM116_2S) ).

thf(f301,plain,
    ! [X1: a > $o] :
      ( ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( X1 @ Y0 )
             => ( cK @ X1 @ Y0 ) ) ) )
      | ( $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,
    ( ( ?? @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( ( Y0 @ sK4 )
          & ( !! @ a
            @ ^ [Y1: a] :
                ( ( Y0 @ Y1 )
               => ( cK @ Y0 @ Y1 ) ) ) ) )
    = $false ),
    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,[],[f292]) ).

thf(f292,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,[],[f291]) ).

thf(f291,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,[],[f290,f22]) ).

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

thf(f290,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,[],[f289]) ).

thf(f289,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 ) ) ),
    inference(trivial_inequality_removal,[],[f264]) ).

thf(f264,plain,
    ( ( $false = $true )
    | ( $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(superposition,[],[f46,f17]) ).

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

thf(f46,plain,
    ! [X0: a,X1: a > $o] :
      ( ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK2 @ Y0 )
             => ( X1 @ Y0 ) ) ) )
      | ( $true
        = ( cK @ X1 @ X0 ) )
      | ( ( sK2 @ X0 )
        = $false ) ),
    inference(trivial_inequality_removal,[],[f39]) ).

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

thf(f28,plain,
    ! [X2: a > $o,X3: a,X1: a > $o] :
      ( ( $true
        = ( cK @ X1 @ X3 ) )
      | ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( X2 @ Y0 )
             => ( X1 @ Y0 ) ) ) )
      | ( $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 ) ) ) )
      | ( ( ^ [Y0: a] :
              ( ( cK @ X2 @ Y0 )
             => ( cK @ X1 @ Y0 ) )
          @ X3 )
        = $true ) ),
    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] :
      ( $true
      = ( ^ [Y0: a > $o] :
            ( ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( X1 @ Y1 ) ) )
           => ( !! @ a
              @ ^ [Y1: a] :
                  ( ( cK @ Y0 @ Y1 )
                 => ( cK @ X1 @ Y1 ) ) ) )
        @ X2 ) ),
    inference(pi_clausification,[],[f11]) ).

thf(f11,plain,
    ! [X1: a > $o] :
      ( ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( X1 @ Y1 ) ) )
           => ( !! @ a
              @ ^ [Y1: a] :
                  ( ( cK @ Y0 @ Y1 )
                 => ( cK @ X1 @ Y1 ) ) ) ) )
      = $true ),
    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] :
      ( ( ( cK @ sK2 @ X1 )
        = $true )
      | ( $false
        = ( sK2 @ X1 ) ) ),
    inference(binary_proxy_clausification,[],[f24]) ).

thf(f24,plain,
    ! [X1: a] :
      ( $true
      = ( ( sK2 @ X1 )
       => ( cK @ sK2 @ X1 ) ) ),
    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
% 0.07/0.13  % Problem    : SEV245^6 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.15  % 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
% 0.16/0.36  % Computer : n009.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 11:53:55 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a TH0_THM_NEQ_NAR problem
% 0.16/0.37  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/tmp/tmp.W1Iq3DAe0k/Vampire---4.8_5733
% 0.16/0.39  % (5989)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.16/0.39  % (5990)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.16/0.39  % (5986)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 Vampire---4 for (2999ds/4Mi)
% 0.16/0.39  % (5987)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 Vampire---4 for (2999ds/27Mi)
% 0.16/0.39  % (5988)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.16/0.39  % (5985)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.16/0.39  % (5992)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.16/0.39  % (5991)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.16/0.39  % (5988)Instruction limit reached!
% 0.16/0.39  % (5988)------------------------------
% 0.16/0.39  % (5988)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (5988)Termination reason: Unknown
% 0.16/0.39  % (5989)Instruction limit reached!
% 0.16/0.39  % (5989)------------------------------
% 0.16/0.39  % (5989)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (5989)Termination reason: Unknown
% 0.16/0.39  % (5989)Termination phase: Saturation
% 0.16/0.39  
% 0.16/0.39  % (5989)Memory used [KB]: 5500
% 0.16/0.39  % (5989)Time elapsed: 0.004 s
% 0.16/0.39  % (5989)Instructions burned: 2 (million)
% 0.16/0.39  % (5989)------------------------------
% 0.16/0.39  % (5989)------------------------------
% 0.16/0.39  % (5988)Termination phase: Saturation
% 0.16/0.39  
% 0.16/0.39  % (5988)Memory used [KB]: 5500
% 0.16/0.39  % (5988)Time elapsed: 0.004 s
% 0.16/0.39  % (5988)Instructions burned: 2 (million)
% 0.16/0.39  % (5988)------------------------------
% 0.16/0.39  % (5988)------------------------------
% 0.16/0.39  % (5992)Instruction limit reached!
% 0.16/0.39  % (5992)------------------------------
% 0.16/0.39  % (5992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (5992)Termination reason: Unknown
% 0.16/0.39  % (5992)Termination phase: Saturation
% 0.16/0.39  
% 0.16/0.39  % (5992)Memory used [KB]: 5500
% 0.16/0.39  % (5992)Time elapsed: 0.005 s
% 0.16/0.39  % (5992)Instructions burned: 3 (million)
% 0.16/0.39  % (5992)------------------------------
% 0.16/0.39  % (5992)------------------------------
% 0.16/0.39  % (5986)Instruction limit reached!
% 0.16/0.39  % (5986)------------------------------
% 0.16/0.39  % (5986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (5986)Termination reason: Unknown
% 0.16/0.39  % (5986)Termination phase: Saturation
% 0.16/0.39  
% 0.16/0.39  % (5986)Memory used [KB]: 5500
% 0.16/0.39  % (5986)Time elapsed: 0.005 s
% 0.16/0.39  % (5986)Instructions burned: 4 (million)
% 0.16/0.39  % (5986)------------------------------
% 0.16/0.39  % (5986)------------------------------
% 0.23/0.40  % (5991)Instruction limit reached!
% 0.23/0.40  % (5991)------------------------------
% 0.23/0.40  % (5991)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40  % (5991)Termination reason: Unknown
% 0.23/0.40  % (5991)Termination phase: Saturation
% 0.23/0.40  
% 0.23/0.40  % (5991)Memory used [KB]: 5628
% 0.23/0.40  % (5991)Time elapsed: 0.014 s
% 0.23/0.40  % (5991)Instructions burned: 19 (million)
% 0.23/0.40  % (5991)------------------------------
% 0.23/0.40  % (5991)------------------------------
% 0.23/0.40  % (5993)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 Vampire---4 for (2999ds/37Mi)
% 0.23/0.40  % (5994)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 Vampire---4 for (2999ds/15Mi)
% 0.23/0.40  % (5995)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.23/0.41  % (5987)Instruction limit reached!
% 0.23/0.41  % (5987)------------------------------
% 0.23/0.41  % (5987)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41  % (5987)Termination reason: Unknown
% 0.23/0.41  % (5987)Termination phase: Saturation
% 0.23/0.41  
% 0.23/0.41  % (5987)Memory used [KB]: 5628
% 0.23/0.41  % (5987)Time elapsed: 0.021 s
% 0.23/0.41  % (5987)Instructions burned: 27 (million)
% 0.23/0.41  % (5987)------------------------------
% 0.23/0.41  % (5987)------------------------------
% 0.23/0.41  % (5996)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 Vampire---4 for (2999ds/1041Mi)
% 0.23/0.41  % (5995)Instruction limit reached!
% 0.23/0.41  % (5995)------------------------------
% 0.23/0.41  % (5995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41  % (5995)Termination reason: Unknown
% 0.23/0.41  % (5995)Termination phase: Saturation
% 0.23/0.41  
% 0.23/0.41  % (5995)Memory used [KB]: 5500
% 0.23/0.41  % (5995)Time elapsed: 0.004 s
% 0.23/0.41  % (5995)Instructions burned: 3 (million)
% 0.23/0.41  % (5995)------------------------------
% 0.23/0.41  % (5995)------------------------------
% 0.23/0.41  % (5994)Instruction limit reached!
% 0.23/0.41  % (5994)------------------------------
% 0.23/0.41  % (5994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41  % (5994)Termination reason: Unknown
% 0.23/0.41  % (5994)Termination phase: Saturation
% 0.23/0.41  
% 0.23/0.41  % (5994)Memory used [KB]: 5628
% 0.23/0.41  % (5994)Time elapsed: 0.034 s
% 0.23/0.41  % (5994)Instructions burned: 16 (million)
% 0.23/0.41  % (5994)------------------------------
% 0.23/0.41  % (5994)------------------------------
% 0.23/0.41  % (5997)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.23/0.42  % (5997)Instruction limit reached!
% 0.23/0.42  % (5997)------------------------------
% 0.23/0.42  % (5997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (5997)Termination reason: Unknown
% 0.23/0.42  % (5997)Termination phase: Saturation
% 0.23/0.42  
% 0.23/0.42  % (5997)Memory used [KB]: 1023
% 0.23/0.42  % (5997)Time elapsed: 0.007 s
% 0.23/0.42  % (5997)Instructions burned: 7 (million)
% 0.23/0.42  % (5997)------------------------------
% 0.23/0.42  % (5997)------------------------------
% 0.23/0.42  % (5998)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.23/0.42  % (5999)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 Vampire---4 for (2999ds/3Mi)
% 0.23/0.42  % (5993)Instruction limit reached!
% 0.23/0.42  % (5993)------------------------------
% 0.23/0.42  % (5993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (5999)Instruction limit reached!
% 0.23/0.42  % (5999)------------------------------
% 0.23/0.42  % (5999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (5999)Termination reason: Unknown
% 0.23/0.42  % (5999)Termination phase: Saturation
% 0.23/0.42  
% 0.23/0.42  % (5999)Memory used [KB]: 5500
% 0.23/0.42  % (5999)Time elapsed: 0.004 s
% 0.23/0.42  % (5999)Instructions burned: 3 (million)
% 0.23/0.42  % (5999)------------------------------
% 0.23/0.42  % (5999)------------------------------
% 0.23/0.42  % (5993)Termination reason: Unknown
% 0.23/0.42  % (5993)Termination phase: Saturation
% 0.23/0.42  
% 0.23/0.42  % (5993)Memory used [KB]: 6140
% 0.23/0.42  % (5993)Time elapsed: 0.022 s
% 0.23/0.42  % (5993)Instructions burned: 38 (million)
% 0.23/0.42  % (5993)------------------------------
% 0.23/0.42  % (5993)------------------------------
% 0.23/0.43  % (6000)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 Vampire---4 for (2999ds/3Mi)
% 0.23/0.43  % (6000)Instruction limit reached!
% 0.23/0.43  % (6000)------------------------------
% 0.23/0.43  % (6000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43  % (5998)Instruction limit reached!
% 0.23/0.43  % (5998)------------------------------
% 0.23/0.43  % (5998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43  % (5998)Termination reason: Unknown
% 0.23/0.43  % (5998)Termination phase: Saturation
% 0.23/0.43  
% 0.23/0.43  % (5998)Memory used [KB]: 5628
% 0.23/0.43  % (5998)Time elapsed: 0.013 s
% 0.23/0.43  % (5998)Instructions burned: 16 (million)
% 0.23/0.43  % (5998)------------------------------
% 0.23/0.43  % (5998)------------------------------
% 0.23/0.43  % (6000)Termination reason: Unknown
% 0.23/0.43  % (6000)Termination phase: Saturation
% 0.23/0.43  
% 0.23/0.43  % (6000)Memory used [KB]: 1023
% 0.23/0.43  % (6000)Time elapsed: 0.004 s
% 0.23/0.43  % (6000)Instructions burned: 3 (million)
% 0.23/0.43  % (6000)------------------------------
% 0.23/0.43  % (6000)------------------------------
% 0.23/0.43  % (6001)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.23/0.44  % (6001)Refutation not found, incomplete strategy
% 0.23/0.44  % (6001)------------------------------
% 0.23/0.44  % (6001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (6001)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44  
% 0.23/0.44  
% 0.23/0.44  % (6001)Memory used [KB]: 5500
% 0.23/0.44  % (6001)Time elapsed: 0.005 s
% 0.23/0.44  % (6001)Instructions burned: 3 (million)
% 0.23/0.44  % (6001)------------------------------
% 0.23/0.44  % (6001)------------------------------
% 0.23/0.44  % (6002)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.23/0.44  % (6003)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.23/0.44  % (6002)Instruction limit reached!
% 0.23/0.44  % (6002)------------------------------
% 0.23/0.44  % (6002)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (6002)Termination reason: Unknown
% 0.23/0.44  % (6002)Termination phase: Saturation
% 0.23/0.44  
% 0.23/0.44  % (6002)Memory used [KB]: 5500
% 0.23/0.44  % (6002)Time elapsed: 0.004 s
% 0.23/0.44  % (6002)Instructions burned: 3 (million)
% 0.23/0.44  % (6002)------------------------------
% 0.23/0.44  % (6002)------------------------------
% 0.23/0.44  % (6003)Instruction limit reached!
% 0.23/0.44  % (6003)------------------------------
% 0.23/0.44  % (6003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (6003)Termination reason: Unknown
% 0.23/0.44  % (6003)Termination phase: Saturation
% 0.23/0.44  
% 0.23/0.44  % (6003)Memory used [KB]: 5500
% 0.23/0.44  % (6003)Time elapsed: 0.005 s
% 0.23/0.44  % (6003)Instructions burned: 4 (million)
% 0.23/0.44  % (6003)------------------------------
% 0.23/0.44  % (6003)------------------------------
% 0.23/0.45  % (6004)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.23/0.45  % (6005)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.23/0.45  % (6006)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.23/0.45  % (6007)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 Vampire---4 for (2999ds/902Mi)
% 0.23/0.46  % (6008)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 Vampire---4 for (2999ds/21Mi)
% 0.23/0.46  % (6006)Instruction limit reached!
% 0.23/0.46  % (6006)------------------------------
% 0.23/0.46  % (6006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46  % (6006)Termination reason: Unknown
% 0.23/0.46  % (6006)Termination phase: Saturation
% 0.23/0.46  
% 0.23/0.46  % (6006)Memory used [KB]: 5500
% 0.23/0.46  % (6006)Time elapsed: 0.007 s
% 0.23/0.46  % (6004)Instruction limit reached!
% 0.23/0.46  % (6004)------------------------------
% 0.23/0.46  % (6004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46  % (6006)Instructions burned: 7 (million)
% 0.23/0.46  % (6006)------------------------------
% 0.23/0.46  % (6006)------------------------------
% 0.23/0.46  % (6004)Termination reason: Unknown
% 0.23/0.46  % (6004)Termination phase: Saturation
% 0.23/0.46  
% 0.23/0.46  % (6004)Memory used [KB]: 5628
% 0.23/0.46  % (6004)Time elapsed: 0.014 s
% 0.23/0.46  % (6004)Instructions burned: 18 (million)
% 0.23/0.46  % (6004)------------------------------
% 0.23/0.46  % (6004)------------------------------
% 0.23/0.47  % (6008)Instruction limit reached!
% 0.23/0.47  % (6008)------------------------------
% 0.23/0.47  % (6008)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47  % (6008)Termination reason: Unknown
% 0.23/0.47  % (6008)Termination phase: Saturation
% 0.23/0.47  
% 0.23/0.47  % (6008)Memory used [KB]: 5628
% 0.23/0.47  % (6008)Time elapsed: 0.018 s
% 0.23/0.47  % (6008)Instructions burned: 22 (million)
% 0.23/0.47  % (6008)------------------------------
% 0.23/0.47  % (6008)------------------------------
% 0.23/0.47  % (6009)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.23/0.47  % (6010)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 Vampire---4 for (2999ds/6Mi)
% 0.23/0.48  % (6009)Instruction limit reached!
% 0.23/0.48  % (6009)------------------------------
% 0.23/0.48  % (6009)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48  % (6009)Termination reason: Unknown
% 0.23/0.48  % (6009)Termination phase: Saturation
% 0.23/0.48  
% 0.23/0.48  % (6009)Memory used [KB]: 5500
% 0.23/0.48  % (6009)Time elapsed: 0.005 s
% 0.23/0.48  % (6009)Instructions burned: 5 (million)
% 0.23/0.48  % (6009)------------------------------
% 0.23/0.48  % (6009)------------------------------
% 0.23/0.48  % (6010)Instruction limit reached!
% 0.23/0.48  % (6010)------------------------------
% 0.23/0.48  % (6010)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48  % (6010)Termination reason: Unknown
% 0.23/0.48  % (6010)Termination phase: Saturation
% 0.23/0.48  
% 0.23/0.48  % (6010)Memory used [KB]: 5500
% 0.23/0.48  % (6010)Time elapsed: 0.005 s
% 0.23/0.48  % (6010)Instructions burned: 7 (million)
% 0.23/0.48  % (6010)------------------------------
% 0.23/0.48  % (6010)------------------------------
% 0.23/0.48  % (5985)Instruction limit reached!
% 0.23/0.48  % (5985)------------------------------
% 0.23/0.48  % (5985)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48  % (5985)Termination reason: Unknown
% 0.23/0.48  % (5985)Termination phase: Saturation
% 0.23/0.48  
% 0.23/0.48  % (5985)Memory used [KB]: 6780
% 0.23/0.48  % (5985)Time elapsed: 0.098 s
% 0.23/0.48  % (5985)Instructions burned: 184 (million)
% 0.23/0.48  % (5985)------------------------------
% 0.23/0.48  % (5985)------------------------------
% 0.23/0.49  % (6015)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2998ds/377Mi)
% 0.23/0.49  % (6019)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 Vampire---4 for (2998ds/19Mi)
% 0.23/0.49  % (6018)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 Vampire---4 for (2998ds/779Mi)
% 0.23/0.49  % (6021)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2998ds/879Mi)
% 0.23/0.50  % (6019)Instruction limit reached!
% 0.23/0.50  % (6019)------------------------------
% 0.23/0.50  % (6019)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50  % (6019)Termination reason: Unknown
% 0.23/0.50  % (6019)Termination phase: Saturation
% 0.23/0.50  
% 0.23/0.50  % (6019)Memory used [KB]: 5628
% 0.23/0.50  % (6019)Time elapsed: 0.008 s
% 0.23/0.50  % (6019)Instructions burned: 19 (million)
% 0.23/0.50  % (6019)------------------------------
% 0.23/0.50  % (6019)------------------------------
% 0.23/0.50  % (6024)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 1.22/0.51  % (6024)Instruction limit reached!
% 1.22/0.51  % (6024)------------------------------
% 1.22/0.51  % (6024)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.51  % (6024)Termination reason: Unknown
% 1.22/0.51  % (6024)Termination phase: Saturation
% 1.22/0.51  
% 1.22/0.51  % (6024)Memory used [KB]: 5628
% 1.22/0.51  % (6024)Time elapsed: 0.009 s
% 1.22/0.51  % (6024)Instructions burned: 19 (million)
% 1.22/0.51  % (6024)------------------------------
% 1.22/0.51  % (6024)------------------------------
% 1.22/0.52  % (6041)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 1.22/0.52  % (6041)Instruction limit reached!
% 1.22/0.52  % (6041)------------------------------
% 1.22/0.52  % (6041)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.52  % (6041)Termination reason: Unknown
% 1.22/0.52  % (6041)Termination phase: Saturation
% 1.22/0.52  
% 1.22/0.52  % (6041)Memory used [KB]: 5500
% 1.22/0.52  % (6041)Time elapsed: 0.003 s
% 1.22/0.52  % (6041)Instructions burned: 4 (million)
% 1.22/0.52  % (6041)------------------------------
% 1.22/0.52  % (6041)------------------------------
% 1.40/0.53  % (5990)Instruction limit reached!
% 1.40/0.53  % (5990)------------------------------
% 1.40/0.53  % (5990)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.53  % (5990)Termination reason: Unknown
% 1.40/0.53  % (5990)Termination phase: Saturation
% 1.40/0.53  
% 1.40/0.53  % (5990)Memory used [KB]: 6140
% 1.40/0.53  % (5990)Time elapsed: 0.148 s
% 1.40/0.53  % (5990)Instructions burned: 277 (million)
% 1.40/0.53  % (5990)------------------------------
% 1.40/0.53  % (5990)------------------------------
% 1.40/0.54  % (6047)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 1.40/0.54  % (6057)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 1.40/0.55  % (6047)Instruction limit reached!
% 1.40/0.55  % (6047)------------------------------
% 1.40/0.55  % (6047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.55  % (6047)Termination reason: Unknown
% 1.40/0.55  % (6047)Termination phase: Saturation
% 1.40/0.55  
% 1.40/0.55  % (6047)Memory used [KB]: 5628
% 1.40/0.55  % (6047)Time elapsed: 0.013 s
% 1.40/0.55  % (6047)Instructions burned: 30 (million)
% 1.40/0.55  % (6047)------------------------------
% 1.40/0.55  % (6047)------------------------------
% 1.40/0.56  % (6072)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 1.40/0.59  % (6057)Instruction limit reached!
% 1.40/0.59  % (6057)------------------------------
% 1.40/0.59  % (6057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.59  % (6057)Termination reason: Unknown
% 1.40/0.59  % (6057)Termination phase: Saturation
% 1.40/0.59  
% 1.40/0.59  % (6057)Memory used [KB]: 6012
% 1.40/0.59  % (6057)Time elapsed: 0.049 s
% 1.40/0.59  % (6057)Instructions burned: 127 (million)
% 1.40/0.59  % (6057)------------------------------
% 1.40/0.59  % (6057)------------------------------
% 1.40/0.60  % (6072)Instruction limit reached!
% 1.40/0.60  % (6072)------------------------------
% 1.40/0.60  % (6072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.60  % (6072)Termination reason: Unknown
% 1.40/0.60  % (6072)Termination phase: Saturation
% 1.40/0.60  
% 1.40/0.60  % (6072)Memory used [KB]: 5756
% 1.40/0.60  % (6072)Time elapsed: 0.038 s
% 1.40/0.60  % (6072)Instructions burned: 102 (million)
% 1.40/0.60  % (6072)------------------------------
% 1.40/0.60  % (6072)------------------------------
% 1.40/0.60  % (6096)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 Vampire---4 for (2997ds/3Mi)
% 1.40/0.60  % (6096)Instruction limit reached!
% 1.40/0.60  % (6096)------------------------------
% 1.40/0.60  % (6096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.60  % (6096)Termination reason: Unknown
% 1.40/0.60  % (6096)Termination phase: Saturation
% 1.40/0.60  
% 1.40/0.60  % (6096)Memory used [KB]: 5500
% 1.40/0.60  % (6096)Time elapsed: 0.003 s
% 1.40/0.60  % (6096)Instructions burned: 5 (million)
% 1.40/0.60  % (6096)------------------------------
% 1.40/0.60  % (6096)------------------------------
% 1.40/0.60  % (6101)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 Vampire---4 for (2997ds/20Mi)
% 1.40/0.61  % (6104)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 Vampire---4 for (2997ds/86Mi)
% 1.40/0.61  % (6101)Instruction limit reached!
% 1.40/0.61  % (6101)------------------------------
% 1.40/0.61  % (6101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.61  % (6101)Termination reason: Unknown
% 1.40/0.61  % (6101)Termination phase: Saturation
% 1.40/0.61  
% 1.40/0.61  % (6101)Memory used [KB]: 5628
% 1.40/0.61  % (6101)Time elapsed: 0.009 s
% 1.40/0.61  % (6101)Instructions burned: 21 (million)
% 1.40/0.61  % (6101)------------------------------
% 1.40/0.61  % (6101)------------------------------
% 1.40/0.62  % (6105)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 Vampire---4 for (2997ds/107Mi)
% 1.40/0.62  % (6015)Instruction limit reached!
% 1.40/0.62  % (6015)------------------------------
% 1.40/0.62  % (6015)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.62  % (6015)Termination reason: Unknown
% 1.40/0.62  % (6015)Termination phase: Saturation
% 1.40/0.62  
% 1.40/0.62  % (6015)Memory used [KB]: 6268
% 1.40/0.62  % (6015)Time elapsed: 0.139 s
% 1.40/0.62  % (6015)Instructions burned: 377 (million)
% 1.40/0.62  % (6015)------------------------------
% 1.40/0.62  % (6015)------------------------------
% 2.15/0.63  % (6106)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 Vampire---4 for (2997ds/39Mi)
% 2.15/0.64  % (6104)Instruction limit reached!
% 2.15/0.64  % (6104)------------------------------
% 2.15/0.64  % (6104)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.64  % (6104)Termination reason: Unknown
% 2.15/0.64  % (6104)Termination phase: Saturation
% 2.15/0.64  
% 2.15/0.64  % (6104)Memory used [KB]: 6140
% 2.15/0.64  % (6104)Time elapsed: 0.031 s
% 2.15/0.64  % (6104)Instructions burned: 86 (million)
% 2.15/0.64  % (6104)------------------------------
% 2.15/0.64  % (6104)------------------------------
% 2.15/0.65  % (6106)Instruction limit reached!
% 2.15/0.65  % (6106)------------------------------
% 2.15/0.65  % (6106)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.65  % (6106)Termination reason: Unknown
% 2.15/0.65  % (6106)Termination phase: Saturation
% 2.15/0.65  
% 2.15/0.65  % (6106)Memory used [KB]: 5756
% 2.15/0.65  % (6106)Time elapsed: 0.015 s
% 2.15/0.65  % (6106)Instructions burned: 40 (million)
% 2.15/0.65  % (6106)------------------------------
% 2.15/0.65  % (6106)------------------------------
% 2.15/0.65  % (6107)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 Vampire---4 for (2997ds/448Mi)
% 2.15/0.65  % (6108)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 Vampire---4 for (2997ds/46Mi)
% 2.15/0.66  % (6105)Instruction limit reached!
% 2.15/0.66  % (6105)------------------------------
% 2.15/0.66  % (6105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.66  % (6105)Termination reason: Unknown
% 2.15/0.66  % (6105)Termination phase: Saturation
% 2.15/0.66  
% 2.15/0.66  % (6105)Memory used [KB]: 5756
% 2.15/0.66  % (6105)Time elapsed: 0.036 s
% 2.15/0.66  % (6105)Instructions burned: 107 (million)
% 2.15/0.66  % (6105)------------------------------
% 2.15/0.66  % (6105)------------------------------
% 2.15/0.66  % (6109)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 Vampire---4 for (2997ds/98Mi)
% 2.15/0.67  % (6108)Instruction limit reached!
% 2.15/0.67  % (6108)------------------------------
% 2.15/0.67  % (6108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.67  % (6108)Termination reason: Unknown
% 2.15/0.67  % (6108)Termination phase: Saturation
% 2.15/0.67  
% 2.15/0.67  % (6108)Memory used [KB]: 5756
% 2.15/0.67  % (6108)Time elapsed: 0.019 s
% 2.15/0.67  % (6108)Instructions burned: 47 (million)
% 2.15/0.67  % (6108)------------------------------
% 2.15/0.67  % (6108)------------------------------
% 2.15/0.68  % (6110)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 Vampire---4 for (2997ds/507Mi)
% 2.15/0.69  % (6109)First to succeed.
% 2.15/0.69  % (6109)Refutation found. Thanks to Tanya!
% 2.15/0.69  % SZS status Theorem for Vampire---4
% 2.15/0.69  % SZS output start Proof for Vampire---4
% See solution above
% 2.15/0.69  % (6109)------------------------------
% 2.15/0.69  % (6109)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.69  % (6109)Termination reason: Refutation
% 2.15/0.69  
% 2.15/0.69  % (6109)Memory used [KB]: 1279
% 2.15/0.69  % (6109)Time elapsed: 0.026 s
% 2.15/0.69  % (6109)Instructions burned: 69 (million)
% 2.15/0.69  % (6109)------------------------------
% 2.15/0.69  % (6109)------------------------------
% 2.15/0.69  % (5984)Success in time 0.311 s
% 2.15/0.69  % Vampire---4.8 exiting
%------------------------------------------------------------------------------