TSTP Solution File: SEV245^6 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SEV245^6 : TPTP v8.2.0. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 16:02:26 EDT 2024

% Result   : Theorem 3.84s 0.92s
% Output   : Refutation 3.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   45 (  29 unt;   0 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  :   99 (  99   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   6 usr;   6 con; 0-2 aty)
%                                         (  70  !!;  22  ??;   0 @@+;   0 @@-)
%            Number of variables   :  166 ( 112   ^  48   !;   6   ?; 166   :)

% 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,
    ( ( sK2 @ sK4 )
    = $false ),
    inference(trivial_inequality_removal,[],[f326]) ).

thf(f326,plain,
    ( ( ( sK2 @ sK4 )
      = $false )
    | ( $false = $true ) ),
    inference(superposition,[],[f21,f301]) ).

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

thf(f299,plain,
    ! [X1: a > $o] :
      ( ( ^ [Y0: a > $o] :
            ( ( Y0 @ sK4 )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( cK @ Y0 @ Y1 ) ) ) )
        @ X1 )
      = $false ),
    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,
    ( ( ( sK2 @ sK4 )
     => ( ?? @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( Y0 @ sK4 )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( cK @ Y0 @ Y1 ) ) ) ) ) )
    = $false ),
    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,
    ( ( !! @ a
      @ ^ [Y0: a] :
          ( ( sK2 @ Y0 )
         => ( ?? @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( Y1 @ Y0 )
                & ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                     => ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
    = $false ),
    inference(trivial_inequality_removal,[],[f293]) ).

thf(f293,plain,
    ( ( ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( Y1 @ Y0 )
                  & ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
      = $false )
    | ( $false = $true ) ),
    inference(forward_demodulation,[],[f282,f22]) ).

thf(f22,plain,
    ( $true
    = ( sK2 @ sK1 ) ),
    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,
    ( ( ^ [Y0: a > $o] :
          ( ( Y0 @ sK1 )
          & ( !! @ a
            @ ^ [Y1: a] :
                ( ( Y0 @ Y1 )
               => ( cK @ Y0 @ Y1 ) ) ) )
      @ sK2 )
    = $true ),
    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,
    ( ( ( ?? @ ( 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 ) )
    = $false ),
    inference(beta_eta_normalization,[],[f15]) ).

thf(f15,plain,
    ( ( ^ [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 )
    = $false ),
    inference(sigma_clausification,[],[f8]) ).

thf(f8,plain,
    ( ( !! @ 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 ) ) )
    = $false ),
    inference(binary_proxy_clausification,[],[f7]) ).

thf(f7,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 ) ) ) ) ) )
     => ( !! @ 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 ) ) ) )
    = $false ),
    inference(not_proxy_clausification,[],[f6]) ).

thf(f6,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 ) ) ) ) ) )
         => ( !! @ 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 ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f5]) ).

thf(f5,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 ) ) ) ) ) )
         => ( !! @ 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 ) ) ) ) )
    = $true ),
    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(f282,plain,
    ( ( ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( ?? @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( Y1 @ Y0 )
                  & ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
      = $false )
    | ( $false
      = ( sK2 @ sK1 ) ) ),
    inference(beta_eta_normalization,[],[f281]) ).

thf(f281,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,[],[f271]) ).

thf(f271,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 ) ) ) )
    | ( $false = $true ) ),
    inference(superposition,[],[f17,f54]) ).

thf(f54,plain,
    ! [X0: a,X1: a > $o] :
      ( ( ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK2 @ Y0 )
             => ( X1 @ Y0 ) ) )
        = $false )
      | ( ( cK @ X1 @ X0 )
        = $true )
      | ( ( sK2 @ X0 )
        = $false ) ),
    inference(trivial_inequality_removal,[],[f32]) ).

thf(f32,plain,
    ! [X0: a,X1: a > $o] :
      ( ( ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK2 @ Y0 )
             => ( X1 @ Y0 ) ) )
        = $false )
      | ( $false = $true )
      | ( ( sK2 @ X0 )
        = $false )
      | ( ( cK @ X1 @ X0 )
        = $true ) ),
    inference(superposition,[],[f28,f25]) ).

thf(f25,plain,
    ! [X1: a] :
      ( ( ( cK @ sK2 @ X1 )
        = $true )
      | ( ( sK2 @ X1 )
        = $false ) ),
    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] :
      ( ( ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( cK @ sK2 @ Y0 ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f21]) ).

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

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

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

thf(f14,plain,
    ! [X2: a > $o,X1: a > $o] :
      ( ( ( !! @ a
          @ ^ [Y0: a] :
              ( ( cK @ X2 @ Y0 )
             => ( cK @ X1 @ Y0 ) ) )
        = $true )
      | ( ( !! @ a
          @ ^ [Y0: a] :
              ( ( X2 @ Y0 )
             => ( X1 @ Y0 ) ) )
        = $false ) ),
    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] :
      ( ( !! @ ( 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] :
      ( ( ^ [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 )
      = $true ),
    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(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(f21,plain,
    ( $true
    = ( !! @ a
      @ ^ [Y0: a] :
          ( ( sK2 @ Y0 )
         => ( cK @ sK2 @ Y0 ) ) ) ),
    inference(binary_proxy_clausification,[],[f20]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEV245^6 : TPTP v8.2.0. Released v5.1.0.
% 0.11/0.12  % Command    : run_vampire %s %d THM
% 0.11/0.33  % Computer : n028.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri Jun 21 19:02:39 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.35  This is a TH0_THM_NEQ_NAR problem
% 0.11/0.35  Running higher-order theorem proving
% 0.11/0.35  Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.11/0.37  % (9745)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.11/0.37  % (9744)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.37  % (9747)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.37  % (9748)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.37  % (9750)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.37  % (9749)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.11/0.37  % (9745)Instruction limit reached!
% 0.11/0.37  % (9745)------------------------------
% 0.11/0.37  % (9745)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37  % (9745)Termination reason: Unknown
% 0.11/0.37  % (9745)Termination phase: Saturation
% 0.11/0.37  
% 0.11/0.37  % (9745)Memory used [KB]: 5500
% 0.11/0.37  % (9745)Time elapsed: 0.005 s
% 0.11/0.37  % (9745)Instructions burned: 4 (million)
% 0.11/0.37  % (9745)------------------------------
% 0.11/0.37  % (9745)------------------------------
% 0.11/0.37  % (9747)Instruction limit reached!
% 0.11/0.37  % (9747)------------------------------
% 0.11/0.37  % (9747)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37  % (9747)Termination reason: Unknown
% 0.11/0.37  % (9747)Termination phase: Saturation
% 0.11/0.37  
% 0.11/0.37  % (9747)Memory used [KB]: 5500
% 0.11/0.37  % (9747)Time elapsed: 0.004 s
% 0.11/0.37  % (9747)Instructions burned: 2 (million)
% 0.11/0.37  % (9747)------------------------------
% 0.11/0.37  % (9747)------------------------------
% 0.11/0.37  % (9748)Instruction limit reached!
% 0.11/0.37  % (9748)------------------------------
% 0.11/0.37  % (9748)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37  % (9748)Termination reason: Unknown
% 0.11/0.37  % (9748)Termination phase: Saturation
% 0.11/0.37  
% 0.11/0.37  % (9748)Memory used [KB]: 5500
% 0.11/0.37  % (9748)Time elapsed: 0.004 s
% 0.11/0.37  % (9748)Instructions burned: 2 (million)
% 0.11/0.37  % (9748)------------------------------
% 0.11/0.37  % (9748)------------------------------
% 0.11/0.38  % (9746)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.11/0.38  % (9750)Instruction limit reached!
% 0.11/0.38  % (9750)------------------------------
% 0.11/0.38  % (9750)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.38  % (9750)Termination reason: Unknown
% 0.11/0.38  % (9750)Termination phase: Saturation
% 0.11/0.38  
% 0.11/0.38  % (9750)Memory used [KB]: 5628
% 0.11/0.38  % (9750)Time elapsed: 0.015 s
% 0.11/0.38  % (9750)Instructions burned: 18 (million)
% 0.11/0.38  % (9750)------------------------------
% 0.11/0.38  % (9750)------------------------------
% 0.11/0.39  % (9756)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)
% 0.11/0.39  % (9757)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)
% 0.11/0.39  % (9755)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.40  % (9755)Instruction limit reached!
% 0.11/0.40  % (9755)------------------------------
% 0.11/0.40  % (9755)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.40  % (9755)Termination reason: Unknown
% 0.11/0.40  % (9755)Termination phase: Saturation
% 0.11/0.40  
% 0.11/0.40  % (9755)Memory used [KB]: 5500
% 0.11/0.40  % (9755)Time elapsed: 0.005 s
% 0.11/0.40  % (9755)Instructions burned: 3 (million)
% 0.11/0.40  % (9755)------------------------------
% 0.11/0.40  % (9755)------------------------------
% 0.11/0.40  % (9746)Instruction limit reached!
% 0.11/0.40  % (9746)------------------------------
% 0.11/0.40  % (9746)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.40  % (9746)Termination reason: Unknown
% 0.11/0.40  % (9746)Termination phase: Saturation
% 0.11/0.40  
% 0.11/0.40  % (9746)Memory used [KB]: 5628
% 0.11/0.40  % (9746)Time elapsed: 0.023 s
% 0.11/0.40  % (9746)Instructions burned: 27 (million)
% 0.11/0.40  % (9746)------------------------------
% 0.11/0.40  % (9746)------------------------------
% 0.11/0.40  % (9757)Instruction limit reached!
% 0.11/0.40  % (9757)------------------------------
% 0.11/0.40  % (9757)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.40  % (9757)Termination reason: Unknown
% 0.11/0.40  % (9757)Termination phase: Saturation
% 0.11/0.40  
% 0.11/0.40  % (9757)Memory used [KB]: 5628
% 0.11/0.40  % (9757)Time elapsed: 0.013 s
% 0.11/0.40  % (9757)Instructions burned: 15 (million)
% 0.11/0.40  % (9757)------------------------------
% 0.11/0.40  % (9757)------------------------------
% 0.11/0.40  % (9761)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)
% 0.11/0.40  % (9761)Instruction limit reached!
% 0.11/0.40  % (9761)------------------------------
% 0.11/0.40  % (9761)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.40  % (9761)Termination reason: Unknown
% 0.11/0.40  % (9761)Termination phase: Saturation
% 0.11/0.40  
% 0.11/0.40  % (9761)Memory used [KB]: 5500
% 0.11/0.40  % (9761)Time elapsed: 0.005 s
% 0.11/0.40  % (9761)Instructions burned: 3 (million)
% 0.11/0.40  % (9761)------------------------------
% 0.11/0.40  % (9761)------------------------------
% 0.11/0.40  % (9756)Instruction limit reached!
% 0.11/0.40  % (9756)------------------------------
% 0.11/0.40  % (9756)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.40  % (9756)Termination reason: Unknown
% 0.11/0.40  % (9756)Termination phase: Saturation
% 0.11/0.40  
% 0.11/0.40  % (9756)Memory used [KB]: 6140
% 0.11/0.40  % (9756)Time elapsed: 0.019 s
% 0.11/0.40  % (9756)Instructions burned: 37 (million)
% 0.11/0.40  % (9756)------------------------------
% 0.11/0.40  % (9756)------------------------------
% 0.21/0.41  % (9765)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.41  % (9766)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42  % (9768)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42  % (9766)Instruction limit reached!
% 0.21/0.42  % (9766)------------------------------
% 0.21/0.42  % (9766)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42  % (9766)Termination reason: Unknown
% 0.21/0.42  % (9766)Termination phase: Saturation
% 0.21/0.42  
% 0.21/0.42  % (9766)Memory used [KB]: 1023
% 0.21/0.42  % (9766)Time elapsed: 0.011 s
% 0.21/0.42  % (9766)Instructions burned: 7 (million)
% 0.21/0.42  % (9766)------------------------------
% 0.21/0.42  % (9766)------------------------------
% 0.21/0.42  % (9772)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42  % (9770)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.43  % (9772)Instruction limit reached!
% 0.21/0.43  % (9772)------------------------------
% 0.21/0.43  % (9772)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43  % (9772)Termination reason: Unknown
% 0.21/0.43  % (9772)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (9772)Memory used [KB]: 1023
% 0.21/0.43  % (9772)Time elapsed: 0.005 s
% 0.21/0.43  % (9772)Instructions burned: 3 (million)
% 0.21/0.43  % (9772)------------------------------
% 0.21/0.43  % (9772)------------------------------
% 0.21/0.43  % (9770)Instruction limit reached!
% 0.21/0.43  % (9770)------------------------------
% 0.21/0.43  % (9770)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43  % (9770)Termination reason: Unknown
% 0.21/0.43  % (9770)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (9770)Memory used [KB]: 5500
% 0.21/0.43  % (9770)Time elapsed: 0.006 s
% 0.21/0.43  % (9770)Instructions burned: 3 (million)
% 0.21/0.43  % (9770)------------------------------
% 0.21/0.43  % (9770)------------------------------
% 0.21/0.44  % (9768)Instruction limit reached!
% 0.21/0.44  % (9768)------------------------------
% 0.21/0.44  % (9768)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44  % (9768)Termination reason: Unknown
% 0.21/0.44  % (9768)Termination phase: Saturation
% 0.21/0.44  
% 0.21/0.44  % (9768)Memory used [KB]: 5628
% 0.21/0.44  % (9768)Time elapsed: 0.022 s
% 0.21/0.44  % (9768)Instructions burned: 16 (million)
% 0.21/0.44  % (9768)------------------------------
% 0.21/0.44  % (9768)------------------------------
% 0.21/0.45  % (9787)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.45  % (9786)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.45  % (9787)Instruction limit reached!
% 0.21/0.45  % (9787)------------------------------
% 0.21/0.45  % (9787)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45  % (9787)Termination reason: Unknown
% 0.21/0.45  % (9787)Termination phase: Saturation
% 0.21/0.45  
% 0.21/0.45  % (9787)Memory used [KB]: 5500
% 0.21/0.45  % (9787)Time elapsed: 0.005 s
% 0.21/0.45  % (9787)Instructions burned: 3 (million)
% 0.21/0.45  % (9787)------------------------------
% 0.21/0.45  % (9787)------------------------------
% 0.21/0.45  % (9788)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.45  % (9786)Refutation not found, incomplete strategy
% 0.21/0.45  % (9786)------------------------------
% 0.21/0.45  % (9786)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45  % (9786)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45  
% 0.21/0.46  
% 0.21/0.46  % (9786)Memory used [KB]: 5500
% 0.21/0.46  % (9786)Time elapsed: 0.006 s
% 0.21/0.46  % (9786)Instructions burned: 3 (million)
% 0.21/0.46  % (9786)------------------------------
% 0.21/0.46  % (9786)------------------------------
% 0.21/0.46  % (9788)Instruction limit reached!
% 0.21/0.46  % (9788)------------------------------
% 0.21/0.46  % (9788)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46  % (9788)Termination reason: Unknown
% 0.21/0.46  % (9788)Termination phase: Saturation
% 0.21/0.46  
% 0.21/0.46  % (9788)Memory used [KB]: 5500
% 0.21/0.46  % (9788)Time elapsed: 0.005 s
% 0.21/0.46  % (9788)Instructions burned: 4 (million)
% 0.21/0.46  % (9788)------------------------------
% 0.21/0.46  % (9788)------------------------------
% 0.21/0.46  % (9789)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.47  % (9790)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.47  % (9792)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 (2998ds/902Mi)
% 0.21/0.47  % (9791)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.48  % (9789)Instruction limit reached!
% 0.21/0.48  % (9789)------------------------------
% 0.21/0.48  % (9789)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48  % (9789)Termination reason: Unknown
% 0.21/0.48  % (9789)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (9789)Memory used [KB]: 5628
% 0.21/0.48  % (9789)Time elapsed: 0.037 s
% 0.21/0.48  % (9789)Instructions burned: 19 (million)
% 0.21/0.48  % (9789)------------------------------
% 0.21/0.48  % (9789)------------------------------
% 0.21/0.48  % (9791)Instruction limit reached!
% 0.21/0.48  % (9791)------------------------------
% 0.21/0.48  % (9791)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48  % (9791)Termination reason: Unknown
% 0.21/0.48  % (9791)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (9791)Memory used [KB]: 5500
% 0.21/0.48  % (9791)Time elapsed: 0.029 s
% 0.21/0.48  % (9791)Instructions burned: 7 (million)
% 0.21/0.48  % (9791)------------------------------
% 0.21/0.48  % (9791)------------------------------
% 0.21/0.49  % (9793)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 (2998ds/21Mi)
% 0.21/0.49  % (9794)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.21/0.50  % (9794)Instruction limit reached!
% 0.21/0.50  % (9794)------------------------------
% 0.21/0.50  % (9794)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.50  % (9794)Termination reason: Unknown
% 0.21/0.50  % (9794)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (9794)Memory used [KB]: 5500
% 0.21/0.50  % (9794)Time elapsed: 0.005 s
% 0.21/0.50  % (9794)Instructions burned: 5 (million)
% 0.21/0.50  % (9794)------------------------------
% 0.21/0.50  % (9794)------------------------------
% 0.21/0.50  % (9744)Instruction limit reached!
% 0.21/0.50  % (9744)------------------------------
% 0.21/0.50  % (9744)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.50  % (9744)Termination reason: Unknown
% 0.21/0.50  % (9744)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (9744)Memory used [KB]: 7036
% 0.21/0.50  % (9744)Time elapsed: 0.131 s
% 0.21/0.50  % (9744)Instructions burned: 183 (million)
% 0.21/0.50  % (9744)------------------------------
% 0.21/0.50  % (9744)------------------------------
% 0.21/0.51  % (9793)Instruction limit reached!
% 0.21/0.51  % (9793)------------------------------
% 0.21/0.51  % (9793)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.51  % (9793)Termination reason: Unknown
% 0.21/0.51  % (9793)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (9793)Memory used [KB]: 5628
% 0.21/0.51  % (9793)Time elapsed: 0.016 s
% 0.21/0.51  % (9793)Instructions burned: 22 (million)
% 0.21/0.51  % (9793)------------------------------
% 0.21/0.51  % (9793)------------------------------
% 0.21/0.51  % (9795)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 (2998ds/6Mi)
% 0.21/0.52  % (9796)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.52  % (9795)Instruction limit reached!
% 0.21/0.52  % (9795)------------------------------
% 0.21/0.52  % (9795)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.52  % (9795)Termination reason: Unknown
% 0.21/0.52  % (9795)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (9795)Memory used [KB]: 5500
% 0.21/0.52  % (9795)Time elapsed: 0.006 s
% 0.21/0.52  % (9795)Instructions burned: 7 (million)
% 0.21/0.52  % (9795)------------------------------
% 0.21/0.52  % (9795)------------------------------
% 0.21/0.52  % (9797)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.21/0.53  % (9798)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.21/0.54  % (9798)Instruction limit reached!
% 0.21/0.54  % (9798)------------------------------
% 0.21/0.54  % (9798)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.54  % (9798)Termination reason: Unknown
% 0.21/0.54  % (9798)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (9798)Memory used [KB]: 5628
% 0.21/0.54  % (9798)Time elapsed: 0.013 s
% 0.21/0.54  % (9798)Instructions burned: 19 (million)
% 0.21/0.54  % (9798)------------------------------
% 0.21/0.54  % (9798)------------------------------
% 0.21/0.55  % (9749)Instruction limit reached!
% 0.21/0.55  % (9749)------------------------------
% 0.21/0.55  % (9749)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.55  % (9749)Termination reason: Unknown
% 0.21/0.55  % (9749)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (9749)Memory used [KB]: 6140
% 0.21/0.55  % (9749)Time elapsed: 0.180 s
% 0.21/0.55  % (9749)Instructions burned: 276 (million)
% 0.21/0.55  % (9749)------------------------------
% 0.21/0.55  % (9749)------------------------------
% 0.21/0.56  % (9799)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.21/0.57  % (9800)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.58  % (9800)Instruction limit reached!
% 0.21/0.58  % (9800)------------------------------
% 0.21/0.58  % (9800)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.58  % (9800)Termination reason: Unknown
% 0.21/0.58  % (9800)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (9800)Memory used [KB]: 5628
% 0.21/0.58  % (9800)Time elapsed: 0.013 s
% 0.21/0.58  % (9800)Instructions burned: 17 (million)
% 0.21/0.58  % (9800)------------------------------
% 0.21/0.58  % (9800)------------------------------
% 1.70/0.59  % (9801)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.70/0.59  % (9801)Instruction limit reached!
% 1.70/0.59  % (9801)------------------------------
% 1.70/0.59  % (9801)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.70/0.59  % (9801)Termination reason: Unknown
% 1.70/0.59  % (9801)Termination phase: Saturation
% 1.70/0.59  
% 1.70/0.59  % (9801)Memory used [KB]: 1023
% 1.70/0.59  % (9801)Time elapsed: 0.004 s
% 1.70/0.59  % (9801)Instructions burned: 3 (million)
% 1.70/0.59  % (9801)------------------------------
% 1.70/0.59  % (9801)------------------------------
% 1.84/0.61  % (9802)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2997ds/30Mi)
% 1.84/0.63  % (9802)Instruction limit reached!
% 1.84/0.63  % (9802)------------------------------
% 1.84/0.63  % (9802)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.84/0.63  % (9802)Termination reason: Unknown
% 1.84/0.63  % (9802)Termination phase: Saturation
% 1.84/0.63  
% 1.84/0.63  % (9802)Memory used [KB]: 5628
% 1.84/0.63  % (9802)Time elapsed: 0.020 s
% 1.84/0.63  % (9802)Instructions burned: 30 (million)
% 1.84/0.63  % (9802)------------------------------
% 1.84/0.63  % (9802)------------------------------
% 2.06/0.65  % (9803)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 (2997ds/127Mi)
% 2.06/0.72  % (9796)Instruction limit reached!
% 2.06/0.72  % (9796)------------------------------
% 2.06/0.72  % (9796)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.06/0.72  % (9796)Termination reason: Unknown
% 2.06/0.72  % (9796)Termination phase: Saturation
% 2.06/0.72  
% 2.06/0.72  % (9796)Memory used [KB]: 6268
% 2.06/0.72  % (9796)Time elapsed: 0.203 s
% 2.06/0.72  % (9796)Instructions burned: 379 (million)
% 2.06/0.72  % (9796)------------------------------
% 2.06/0.72  % (9796)------------------------------
% 2.06/0.72  % (9803)Instruction limit reached!
% 2.06/0.72  % (9803)------------------------------
% 2.06/0.72  % (9803)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.06/0.72  % (9803)Termination reason: Unknown
% 2.06/0.72  % (9803)Termination phase: Saturation
% 2.06/0.72  
% 2.06/0.72  % (9803)Memory used [KB]: 6012
% 2.06/0.72  % (9803)Time elapsed: 0.076 s
% 2.06/0.72  % (9803)Instructions burned: 127 (million)
% 2.06/0.72  % (9803)------------------------------
% 2.06/0.72  % (9803)------------------------------
% 2.74/0.73  % (9805)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 (2996ds/100Mi)
% 2.74/0.74  % (9806)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 (2996ds/3Mi)
% 2.74/0.74  % (9806)Instruction limit reached!
% 2.74/0.74  % (9806)------------------------------
% 2.74/0.74  % (9806)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.74/0.74  % (9806)Termination reason: Unknown
% 2.74/0.74  % (9806)Termination phase: Saturation
% 2.74/0.74  
% 2.74/0.74  % (9806)Memory used [KB]: 5500
% 2.74/0.74  % (9806)Time elapsed: 0.004 s
% 2.74/0.74  % (9806)Instructions burned: 3 (million)
% 2.74/0.74  % (9806)------------------------------
% 2.74/0.74  % (9806)------------------------------
% 2.74/0.75  % (9807)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 (2996ds/20Mi)
% 2.74/0.77  % (9807)Instruction limit reached!
% 2.74/0.77  % (9807)------------------------------
% 2.74/0.77  % (9807)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.74/0.77  % (9807)Termination reason: Unknown
% 2.74/0.77  % (9807)Termination phase: Saturation
% 2.74/0.77  
% 2.74/0.77  % (9807)Memory used [KB]: 5628
% 2.74/0.77  % (9807)Time elapsed: 0.016 s
% 2.74/0.77  % (9807)Instructions burned: 21 (million)
% 2.74/0.77  % (9807)------------------------------
% 2.74/0.77  % (9807)------------------------------
% 2.74/0.78  % (9808)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 (2995ds/86Mi)
% 2.74/0.79  % (9805)Instruction limit reached!
% 2.74/0.79  % (9805)------------------------------
% 2.74/0.79  % (9805)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.74/0.79  % (9805)Termination reason: Unknown
% 2.74/0.79  % (9805)Termination phase: Saturation
% 2.74/0.79  
% 2.74/0.79  % (9805)Memory used [KB]: 5756
% 2.74/0.79  % (9805)Time elapsed: 0.057 s
% 2.74/0.79  % (9805)Instructions burned: 100 (million)
% 2.74/0.79  % (9805)------------------------------
% 2.74/0.79  % (9805)------------------------------
% 3.18/0.80  % (9809)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 (2995ds/107Mi)
% 3.18/0.83  % (9808)Instruction limit reached!
% 3.18/0.83  % (9808)------------------------------
% 3.18/0.83  % (9808)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.18/0.83  % (9808)Termination reason: Unknown
% 3.18/0.83  % (9808)Termination phase: Saturation
% 3.18/0.83  
% 3.18/0.83  % (9808)Memory used [KB]: 6140
% 3.18/0.83  % (9808)Time elapsed: 0.047 s
% 3.18/0.83  % (9808)Instructions burned: 86 (million)
% 3.18/0.83  % (9808)------------------------------
% 3.18/0.83  % (9808)------------------------------
% 3.18/0.84  % (9810)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 (2995ds/39Mi)
% 3.18/0.86  % (9809)Instruction limit reached!
% 3.18/0.86  % (9809)------------------------------
% 3.18/0.86  % (9809)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.18/0.86  % (9809)Termination reason: Unknown
% 3.18/0.86  % (9809)Termination phase: Saturation
% 3.18/0.86  
% 3.18/0.86  % (9809)Memory used [KB]: 5756
% 3.18/0.86  % (9809)Time elapsed: 0.055 s
% 3.18/0.86  % (9809)Instructions burned: 108 (million)
% 3.18/0.86  % (9809)------------------------------
% 3.18/0.86  % (9809)------------------------------
% 3.18/0.86  % (9790)Instruction limit reached!
% 3.18/0.86  % (9790)------------------------------
% 3.18/0.86  % (9790)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.18/0.86  % (9790)Termination reason: Unknown
% 3.18/0.86  % (9790)Termination phase: Saturation
% 3.18/0.86  
% 3.18/0.86  % (9790)Memory used [KB]: 7291
% 3.18/0.86  % (9790)Time elapsed: 0.409 s
% 3.18/0.86  % (9790)Instructions burned: 710 (million)
% 3.18/0.86  % (9790)------------------------------
% 3.18/0.86  % (9790)------------------------------
% 3.67/0.86  % (9810)Instruction limit reached!
% 3.67/0.86  % (9810)------------------------------
% 3.67/0.86  % (9810)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.67/0.86  % (9810)Termination reason: Unknown
% 3.67/0.86  % (9810)Termination phase: Saturation
% 3.67/0.86  
% 3.67/0.86  % (9810)Memory used [KB]: 5884
% 3.67/0.86  % (9810)Time elapsed: 0.023 s
% 3.67/0.86  % (9810)Instructions burned: 39 (million)
% 3.67/0.86  % (9810)------------------------------
% 3.67/0.86  % (9810)------------------------------
% 3.67/0.87  % (9811)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 (2995ds/448Mi)
% 3.67/0.87  % (9812)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 (2995ds/46Mi)
% 3.67/0.88  % (9813)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 (2994ds/98Mi)
% 3.84/0.90  % (9812)Instruction limit reached!
% 3.84/0.90  % (9812)------------------------------
% 3.84/0.90  % (9812)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.84/0.90  % (9812)Termination reason: Unknown
% 3.84/0.90  % (9812)Termination phase: Saturation
% 3.84/0.90  
% 3.84/0.90  % (9812)Memory used [KB]: 5756
% 3.84/0.90  % (9812)Time elapsed: 0.029 s
% 3.84/0.90  % (9812)Instructions burned: 46 (million)
% 3.84/0.90  % (9812)------------------------------
% 3.84/0.90  % (9812)------------------------------
% 3.84/0.91  % (9813)First to succeed.
% 3.84/0.91  % (9814)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 (2994ds/507Mi)
% 3.84/0.92  % (9813)Refutation found. Thanks to Tanya!
% 3.84/0.92  % SZS status Theorem for theBenchmark
% 3.84/0.92  % SZS output start Proof for theBenchmark
% See solution above
% 3.84/0.92  % (9813)------------------------------
% 3.84/0.92  % (9813)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.84/0.92  % (9813)Termination reason: Refutation
% 3.84/0.92  
% 3.84/0.92  % (9813)Memory used [KB]: 1279
% 3.84/0.92  % (9813)Time elapsed: 0.037 s
% 3.84/0.92  % (9813)Instructions burned: 64 (million)
% 3.84/0.92  % (9813)------------------------------
% 3.84/0.92  % (9813)------------------------------
% 3.84/0.92  % (9740)Success in time 0.557 s
%------------------------------------------------------------------------------