TSTP Solution File: SEU861^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU861^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 03:51:58 EDT 2024

% Result   : Theorem 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   94 (  36 unt;  13 typ;   0 def)
%            Number of atoms       :  642 ( 131 equ;   0 cnn)
%            Maximal formula atoms :    6 (   7 avg)
%            Number of connectives : 1329 (  75   ~;  98   |;  87   &; 706   @)
%                                         (   2 <=>; 173  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  254 ( 254   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  13 usr;  10 con; 0-2 aty)
%                                         ( 170  !!;  18  ??;   0 @@+;   0 @@-)
%            Number of variables   :  265 ( 185   ^  73   !;   6   ?; 265   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

thf(func_def_2,type,
    cC: a > $o ).

thf(func_def_19,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(func_def_20,type,
    sK2: ( a > $o ) > $o ).

thf(func_def_21,type,
    sK3: a ).

thf(func_def_22,type,
    sK4: a > a ).

thf(func_def_23,type,
    sK5: a > $o ).

thf(func_def_24,type,
    sK6: a > $o ).

thf(func_def_25,type,
    sK7: a ).

thf(func_def_26,type,
    sK8: a ).

thf(func_def_27,type,
    sK9: a ).

thf(f176,plain,
    $false,
    inference(avatar_sat_refutation,[],[f81,f114,f175]) ).

thf(f175,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f174]) ).

thf(f174,plain,
    ( $false
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f173]) ).

thf(f173,plain,
    ( ( $false = $true )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f172,f126]) ).

thf(f126,plain,
    ( ( $false
      = ( sK2 @ sK6 ) )
    | ~ spl0_1 ),
    inference(binary_proxy_clausification,[],[f125]) ).

thf(f125,plain,
    ( ( $false
      = ( ( ( sK2 @ sK5 )
          & ( !! @ a
            @ ^ [Y0: a] :
                ( ( sK6 @ Y0 )
               => ( ( sK7 = Y0 )
                  | ( sK5 @ Y0 ) ) ) ) )
       => ( sK2 @ sK6 ) ) )
    | ~ spl0_1 ),
    inference(beta_eta_normalization,[],[f124]) ).

thf(f124,plain,
    ( ( $false
      = ( ^ [Y0: a] :
            ( ( ( sK2 @ sK5 )
              & ( !! @ a
                @ ^ [Y1: a] :
                    ( ( sK6 @ Y1 )
                   => ( ( Y0 = Y1 )
                      | ( sK5 @ Y1 ) ) ) ) )
           => ( sK2 @ sK6 ) )
        @ sK7 ) )
    | ~ spl0_1 ),
    inference(sigma_clausification,[],[f123]) ).

thf(f123,plain,
    ( ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( ( sK2 @ sK5 )
              & ( !! @ a
                @ ^ [Y1: a] :
                    ( ( sK6 @ Y1 )
                   => ( ( Y0 = Y1 )
                      | ( sK5 @ Y1 ) ) ) ) )
           => ( sK2 @ sK6 ) ) ) )
    | ~ spl0_1 ),
    inference(beta_eta_normalization,[],[f122]) ).

thf(f122,plain,
    ( ( ( ^ [Y0: a > $o] :
            ( !! @ a
            @ ^ [Y1: a] :
                ( ( ( sK2 @ sK5 )
                  & ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y0 @ Y2 )
                       => ( ( Y1 = Y2 )
                          | ( sK5 @ Y2 ) ) ) ) )
               => ( sK2 @ Y0 ) ) )
        @ sK6 )
      = $false )
    | ~ spl0_1 ),
    inference(sigma_clausification,[],[f119]) ).

thf(f119,plain,
    ( ( $false
      = ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( !! @ a
            @ ^ [Y1: a] :
                ( ( ( sK2 @ sK5 )
                  & ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y0 @ Y2 )
                       => ( ( Y1 = Y2 )
                          | ( sK5 @ Y2 ) ) ) ) )
               => ( sK2 @ Y0 ) ) ) ) )
    | ~ spl0_1 ),
    inference(beta_eta_normalization,[],[f117]) ).

thf(f117,plain,
    ( ( $false
      = ( ^ [Y0: a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( !! @ a
                @ ^ [Y2: a] :
                    ( ( ( sK2 @ Y0 )
                      & ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( Y1 @ Y3 )
                           => ( ( Y2 = Y3 )
                              | ( Y0 @ Y3 ) ) ) ) )
                   => ( sK2 @ Y1 ) ) ) )
        @ sK5 ) )
    | ~ spl0_1 ),
    inference(sigma_clausification,[],[f77]) ).

thf(f77,plain,
    ( ( $false
      = ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( !! @ a
                @ ^ [Y2: a] :
                    ( ( ( sK2 @ Y0 )
                      & ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( Y1 @ Y3 )
                           => ( ( Y2 = Y3 )
                              | ( Y0 @ Y3 ) ) ) ) )
                   => ( sK2 @ Y1 ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f76]) ).

thf(f76,plain,
    ( spl0_1
  <=> ( $false
      = ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( !! @ a
                @ ^ [Y2: a] :
                    ( ( ( sK2 @ Y0 )
                      & ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( Y1 @ Y3 )
                           => ( ( Y2 = Y3 )
                              | ( Y0 @ Y3 ) ) ) ) )
                   => ( sK2 @ Y1 ) ) ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f172,plain,
    ( ( $true
      = ( sK2 @ sK6 ) )
    | ~ spl0_1 ),
    inference(boolean_simplification,[],[f171]) ).

thf(f171,plain,
    ( ( ( $true
       => ( sK2 @ sK6 ) )
      = $true )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f169,f156]) ).

thf(f156,plain,
    ( ( $true
      = ( sK2 @ sK5 ) )
    | ~ spl0_1 ),
    inference(boolean_simplification,[],[f155]) ).

thf(f155,plain,
    ( ( $true
      = ( ( sK2 @ sK5 )
        & $true ) )
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f146,f153]) ).

thf(f153,plain,
    ( ( $true
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK6 @ Y0 )
           => ( ( sK8 = Y0 )
              | ( sK5 @ Y0 ) ) ) ) )
    | ~ spl0_1 ),
    inference(binary_proxy_clausification,[],[f146]) ).

thf(f146,plain,
    ( ( ( ( sK2 @ sK5 )
        & ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK6 @ Y0 )
             => ( ( sK8 = Y0 )
                | ( sK5 @ Y0 ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(not_proxy_clausification,[],[f135]) ).

thf(f135,plain,
    ( ( $false
      = ( ~ ( ( sK2 @ sK5 )
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( ( sK6 @ Y0 )
                 => ( ( sK8 = Y0 )
                    | ( sK5 @ Y0 ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(beta_eta_normalization,[],[f134]) ).

thf(f134,plain,
    ( ( $false
      = ( ^ [Y0: a] :
            ~ ( ( sK2 @ sK5 )
              & ( !! @ a
                @ ^ [Y1: a] :
                    ( ( sK6 @ Y1 )
                   => ( ( Y0 = Y1 )
                      | ( sK5 @ Y1 ) ) ) ) )
        @ sK8 ) )
    | ~ spl0_1 ),
    inference(sigma_clausification,[],[f130]) ).

thf(f130,plain,
    ( ( $false
      = ( !! @ a
        @ ^ [Y0: a] :
            ~ ( ( sK2 @ sK5 )
              & ( !! @ a
                @ ^ [Y1: a] :
                    ( ( sK6 @ Y1 )
                   => ( ( Y0 = Y1 )
                      | ( sK5 @ Y1 ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(boolean_simplification,[],[f129]) ).

thf(f129,plain,
    ( ( ( !! @ a
        @ ^ [Y0: a] :
            ( ( ( sK2 @ sK5 )
              & ( !! @ a
                @ ^ [Y1: a] :
                    ( ( sK6 @ Y1 )
                   => ( ( Y0 = Y1 )
                      | ( sK5 @ Y1 ) ) ) ) )
           => $false ) )
      = $false )
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f123,f126]) ).

thf(f169,plain,
    ( ( $true
      = ( ( sK2 @ sK5 )
       => ( sK2 @ sK6 ) ) )
    | ~ spl0_1 ),
    inference(boolean_simplification,[],[f168]) ).

thf(f168,plain,
    ( ( $true
      = ( ( $true
          & ( sK2 @ sK5 ) )
       => ( sK2 @ sK6 ) ) )
    | ~ spl0_1 ),
    inference(superposition,[],[f36,f153]) ).

thf(f36,plain,
    ! [X2: a > $o,X3: a > $o,X1: a] :
      ( ( ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( X2 @ Y0 )
               => ( ( X1 = Y0 )
                  | ( X3 @ Y0 ) ) ) )
          & ( sK2 @ X3 ) )
       => ( sK2 @ X2 ) )
      = $true ),
    inference(beta_eta_normalization,[],[f35]) ).

thf(f35,plain,
    ! [X2: a > $o,X3: a > $o,X1: a] :
      ( ( ^ [Y0: a > $o] :
            ( ( ( !! @ a
                @ ^ [Y1: a] :
                    ( ( X2 @ Y1 )
                   => ( ( X1 = Y1 )
                      | ( Y0 @ Y1 ) ) ) )
              & ( sK2 @ Y0 ) )
           => ( sK2 @ X2 ) )
        @ X3 )
      = $true ),
    inference(pi_clausification,[],[f30]) ).

thf(f30,plain,
    ! [X2: a > $o,X1: a] :
      ( ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( ( !! @ a
                @ ^ [Y1: a] :
                    ( ( X2 @ Y1 )
                   => ( ( X1 = Y1 )
                      | ( Y0 @ Y1 ) ) ) )
              & ( sK2 @ Y0 ) )
           => ( sK2 @ X2 ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f29]) ).

thf(f29,plain,
    ! [X2: a > $o,X1: a] :
      ( ( ^ [Y0: a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y0 @ Y2 )
                       => ( ( X1 = Y2 )
                          | ( Y1 @ Y2 ) ) ) )
                  & ( sK2 @ Y1 ) )
               => ( sK2 @ Y0 ) ) )
        @ X2 )
      = $true ),
    inference(pi_clausification,[],[f26]) ).

thf(f26,plain,
    ! [X1: a] :
      ( ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( Y0 @ Y2 )
                       => ( ( X1 = Y2 )
                          | ( Y1 @ Y2 ) ) ) )
                  & ( sK2 @ Y1 ) )
               => ( sK2 @ Y0 ) ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f25]) ).

thf(f25,plain,
    ! [X1: a] :
      ( ( ^ [Y0: a] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( !! @ ( a > $o )
                @ ^ [Y2: a > $o] :
                    ( ( ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( Y1 @ Y3 )
                           => ( ( Y0 = Y3 )
                              | ( Y2 @ Y3 ) ) ) )
                      & ( sK2 @ Y2 ) )
                   => ( sK2 @ Y1 ) ) ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f24]) ).

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

thf(f23,plain,
    ( $true
    = ( $true
      & ( !! @ a
        @ ^ [Y0: a] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( !! @ ( a > $o )
                @ ^ [Y2: a > $o] :
                    ( ( ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( Y1 @ Y3 )
                           => ( ( Y0 = Y3 )
                              | ( Y2 @ Y3 ) ) ) )
                      & ( sK2 @ Y2 ) )
                   => ( sK2 @ Y1 ) ) ) ) ) ) ),
    inference(backward_demodulation,[],[f18,f22]) ).

thf(f22,plain,
    ( $true
    = ( !! @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( ~ ( ?? @ a @ Y0 )
         => ( sK2 @ Y0 ) ) ) ),
    inference(binary_proxy_clausification,[],[f18]) ).

thf(f18,plain,
    ( ( ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ~ ( ?? @ a @ Y0 )
           => ( sK2 @ Y0 ) ) )
      & ( !! @ a
        @ ^ [Y0: a] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( !! @ ( a > $o )
                @ ^ [Y2: a > $o] :
                    ( ( ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( Y1 @ Y3 )
                           => ( ( Y0 = Y3 )
                              | ( Y2 @ Y3 ) ) ) )
                      & ( sK2 @ Y2 ) )
                   => ( sK2 @ Y1 ) ) ) ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f16]) ).

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

thf(f15,plain,
    ( $false
    = ( ^ [Y0: ( a > $o ) > $o] :
          ( ( ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ~ ( ?? @ a @ Y1 )
                 => ( Y0 @ Y1 ) ) )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( !! @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( !! @ ( a > $o )
                      @ ^ [Y3: a > $o] :
                          ( ( ( !! @ a
                              @ ^ [Y4: a] :
                                  ( ( Y2 @ Y4 )
                                 => ( ( Y1 = Y4 )
                                    | ( Y3 @ Y4 ) ) ) )
                            & ( Y0 @ Y3 ) )
                         => ( Y0 @ Y2 ) ) ) ) ) )
         => ( Y0 @ cB ) )
      @ sK2 ) ),
    inference(sigma_clausification,[],[f14]) ).

thf(f14,plain,
    ( $false
    = ( !! @ ( ( a > $o ) > $o )
      @ ^ [Y0: ( a > $o ) > $o] :
          ( ( ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ~ ( ?? @ a @ Y1 )
                 => ( Y0 @ Y1 ) ) )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( !! @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( !! @ ( a > $o )
                      @ ^ [Y3: a > $o] :
                          ( ( ( !! @ a
                              @ ^ [Y4: a] :
                                  ( ( Y2 @ Y4 )
                                 => ( ( Y1 = Y4 )
                                    | ( Y3 @ Y4 ) ) ) )
                            & ( Y0 @ Y3 ) )
                         => ( Y0 @ Y2 ) ) ) ) ) )
         => ( Y0 @ cB ) ) ) ),
    inference(boolean_simplification,[],[f13]) ).

thf(f13,plain,
    ( $false
    = ( $true
     => ( !! @ ( ( a > $o ) > $o )
        @ ^ [Y0: ( a > $o ) > $o] :
            ( ( ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ~ ( ?? @ a @ Y1 )
                   => ( Y0 @ Y1 ) ) )
              & ( !! @ a
                @ ^ [Y1: a] :
                    ( !! @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( !! @ ( a > $o )
                        @ ^ [Y3: a > $o] :
                            ( ( ( !! @ a
                                @ ^ [Y4: a] :
                                    ( ( Y2 @ Y4 )
                                   => ( ( Y1 = Y4 )
                                      | ( Y3 @ Y4 ) ) ) )
                              & ( Y0 @ Y3 ) )
                           => ( Y0 @ Y2 ) ) ) ) ) )
           => ( Y0 @ cB ) ) ) ) ),
    inference(backward_demodulation,[],[f8,f12]) ).

thf(f12,plain,
    ( $true
    = ( ( !! @ ( ( a > $o ) > $o )
        @ ^ [Y0: ( a > $o ) > $o] :
            ( ( ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ~ ( ?? @ a @ Y1 )
                   => ( Y0 @ Y1 ) ) )
              & ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( !! @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( ( Y0 @ Y1 )
                              & ( !! @ a
                                @ ^ [Y4: a] :
                                    ( ( Y2 @ Y4 )
                                   => ( ( Y3 = Y4 )
                                      | ( Y1 @ Y4 ) ) ) ) )
                           => ( Y0 @ Y2 ) ) ) ) ) )
           => ( Y0 @ cC ) ) )
      & ( !! @ a
        @ ^ [Y0: a] :
            ( ( cB @ Y0 )
           => ( cC @ Y0 ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f8]) ).

thf(f8,plain,
    ( $false
    = ( ( ( !! @ ( ( a > $o ) > $o )
          @ ^ [Y0: ( a > $o ) > $o] :
              ( ( ( !! @ ( a > $o )
                  @ ^ [Y1: a > $o] :
                      ( ~ ( ?? @ a @ Y1 )
                     => ( Y0 @ Y1 ) ) )
                & ( !! @ ( a > $o )
                  @ ^ [Y1: a > $o] :
                      ( !! @ ( a > $o )
                      @ ^ [Y2: a > $o] :
                          ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( ( Y0 @ Y1 )
                                & ( !! @ a
                                  @ ^ [Y4: a] :
                                      ( ( Y2 @ Y4 )
                                     => ( ( Y3 = Y4 )
                                        | ( Y1 @ Y4 ) ) ) ) )
                             => ( Y0 @ Y2 ) ) ) ) ) )
             => ( Y0 @ cC ) ) )
        & ( !! @ a
          @ ^ [Y0: a] :
              ( ( cB @ Y0 )
             => ( cC @ Y0 ) ) ) )
     => ( !! @ ( ( a > $o ) > $o )
        @ ^ [Y0: ( a > $o ) > $o] :
            ( ( ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ~ ( ?? @ a @ Y1 )
                   => ( Y0 @ Y1 ) ) )
              & ( !! @ a
                @ ^ [Y1: a] :
                    ( !! @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( !! @ ( a > $o )
                        @ ^ [Y3: a > $o] :
                            ( ( ( !! @ a
                                @ ^ [Y4: a] :
                                    ( ( Y2 @ Y4 )
                                   => ( ( Y1 = Y4 )
                                      | ( Y3 @ Y4 ) ) ) )
                              & ( Y0 @ Y3 ) )
                           => ( Y0 @ Y2 ) ) ) ) ) )
           => ( Y0 @ cB ) ) ) ) ),
    inference(not_proxy_clausification,[],[f7]) ).

thf(f7,plain,
    ( $true
    = ( ~ ( ( ( !! @ ( ( a > $o ) > $o )
              @ ^ [Y0: ( a > $o ) > $o] :
                  ( ( ( !! @ ( a > $o )
                      @ ^ [Y1: a > $o] :
                          ( ~ ( ?? @ a @ Y1 )
                         => ( Y0 @ Y1 ) ) )
                    & ( !! @ ( a > $o )
                      @ ^ [Y1: a > $o] :
                          ( !! @ ( a > $o )
                          @ ^ [Y2: a > $o] :
                              ( !! @ a
                              @ ^ [Y3: a] :
                                  ( ( ( Y0 @ Y1 )
                                    & ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( ( Y2 @ Y4 )
                                         => ( ( Y3 = Y4 )
                                            | ( Y1 @ Y4 ) ) ) ) )
                                 => ( Y0 @ Y2 ) ) ) ) ) )
                 => ( Y0 @ cC ) ) )
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( ( cB @ Y0 )
                 => ( cC @ Y0 ) ) ) )
         => ( !! @ ( ( a > $o ) > $o )
            @ ^ [Y0: ( a > $o ) > $o] :
                ( ( ( !! @ ( a > $o )
                    @ ^ [Y1: a > $o] :
                        ( ~ ( ?? @ a @ Y1 )
                       => ( Y0 @ Y1 ) ) )
                  & ( !! @ a
                    @ ^ [Y1: a] :
                        ( !! @ ( a > $o )
                        @ ^ [Y2: a > $o] :
                            ( !! @ ( a > $o )
                            @ ^ [Y3: a > $o] :
                                ( ( ( !! @ a
                                    @ ^ [Y4: a] :
                                        ( ( Y2 @ Y4 )
                                       => ( ( Y1 = Y4 )
                                          | ( Y3 @ Y4 ) ) ) )
                                  & ( Y0 @ Y3 ) )
                               => ( Y0 @ Y2 ) ) ) ) ) )
               => ( Y0 @ cB ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f6]) ).

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

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

thf(f4,plain,
    ~ ( ( ! [X0: a] :
            ( ( cB @ X0 )
           => ( cC @ X0 ) )
        & ! [X1: ( a > $o ) > $o] :
            ( ( ! [X2: a,X3: a > $o,X4: a > $o] :
                  ( ( ! [X5: a] :
                        ( ( X3 @ X5 )
                       => ( ( X4 @ X5 )
                          | ( X2 = X5 ) ) )
                    & ( X1 @ X4 ) )
                 => ( X1 @ X3 ) )
              & ! [X6: a > $o] :
                  ( ~ ? [X7: a] : ( X6 @ X7 )
                 => ( X1 @ X6 ) ) )
           => ( X1 @ cC ) ) )
     => ! [X8: ( a > $o ) > $o] :
          ( ( ! [X9: a > $o,X10: a > $o,X11: a] :
                ( ( ( X8 @ X9 )
                  & ! [X12: a] :
                      ( ( X10 @ X12 )
                     => ( ( X9 @ X12 )
                        | ( X11 = X12 ) ) ) )
               => ( X8 @ X10 ) )
            & ! [X13: a > $o] :
                ( ~ ? [X14: a] : ( X13 @ X14 )
               => ( X8 @ X13 ) ) )
         => ( X8 @ cB ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ! [X4: a] :
            ( ( cB @ X4 )
           => ( cC @ X4 ) )
        & ! [X0: ( a > $o ) > $o] :
            ( ( ! [X4: a,X5: a > $o,X3: a > $o] :
                  ( ( ! [X6: a] :
                        ( ( X5 @ X6 )
                       => ( ( X3 @ X6 )
                          | ( X4 = X6 ) ) )
                    & ( X0 @ X3 ) )
                 => ( X0 @ X5 ) )
              & ! [X1: a > $o] :
                  ( ~ ? [X2: a] : ( X1 @ X2 )
                 => ( X0 @ X1 ) ) )
           => ( X0 @ cC ) ) )
     => ! [X0: ( a > $o ) > $o] :
          ( ( ! [X3: a > $o,X5: a > $o,X4: a] :
                ( ( ( X0 @ X3 )
                  & ! [X7: a] :
                      ( ( X5 @ X7 )
                     => ( ( X3 @ X7 )
                        | ( X4 = X7 ) ) ) )
               => ( X0 @ X5 ) )
            & ! [X1: a > $o] :
                ( ~ ? [X2: a] : ( X1 @ X2 )
               => ( X0 @ X1 ) ) )
         => ( X0 @ cB ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ! [X4: a] :
          ( ( cB @ X4 )
         => ( cC @ X4 ) )
      & ! [X0: ( a > $o ) > $o] :
          ( ( ! [X4: a,X5: a > $o,X3: a > $o] :
                ( ( ! [X6: a] :
                      ( ( X5 @ X6 )
                     => ( ( X3 @ X6 )
                        | ( X4 = X6 ) ) )
                  & ( X0 @ X3 ) )
               => ( X0 @ X5 ) )
            & ! [X1: a > $o] :
                ( ~ ? [X2: a] : ( X1 @ X2 )
               => ( X0 @ X1 ) ) )
         => ( X0 @ cC ) ) )
   => ! [X0: ( a > $o ) > $o] :
        ( ( ! [X3: a > $o,X5: a > $o,X4: a] :
              ( ( ( X0 @ X3 )
                & ! [X7: a] :
                    ( ( X5 @ X7 )
                   => ( ( X3 @ X7 )
                      | ( X4 = X7 ) ) ) )
             => ( X0 @ X5 ) )
          & ! [X1: a > $o] :
              ( ~ ? [X2: a] : ( X1 @ X2 )
             => ( X0 @ X1 ) ) )
       => ( X0 @ cB ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM531E_pme) ).

thf(f114,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f113]) ).

thf(f113,plain,
    ( $false
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f112]) ).

thf(f112,plain,
    ( ( $false = $true )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f111]) ).

thf(f111,plain,
    ( ( $true = ~ $true )
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f110,f102]) ).

thf(f102,plain,
    ( ! [X0: a] :
        ( ( cB @ ( sK4 @ X0 ) )
        = $true )
    | ~ spl0_2 ),
    inference(binary_proxy_clausification,[],[f97]) ).

thf(f97,plain,
    ( ! [X0: a] :
        ( $false
        = ( ( cB @ ( sK4 @ X0 ) )
         => ( ( X0
              = ( sK4 @ X0 ) )
            | ( cC @ ( sK4 @ X0 ) ) ) ) )
    | ~ spl0_2 ),
    inference(beta_eta_normalization,[],[f94]) ).

thf(f94,plain,
    ( ! [X0: a] :
        ( $false
        = ( ^ [Y0: a] :
              ( ( cB @ Y0 )
             => ( ( X0 = Y0 )
                | ( cC @ Y0 ) ) )
          @ ( sK4 @ X0 ) ) )
    | ~ spl0_2 ),
    inference(sigma_clausification,[],[f93]) ).

thf(f93,plain,
    ( ! [X0: a] :
        ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( cB @ Y0 )
             => ( ( X0 = Y0 )
                | ( cC @ Y0 ) ) ) ) )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f84]) ).

thf(f84,plain,
    ( ! [X0: a] :
        ( $false
        = ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( cB @ Y0 )
               => ( ( X0 = Y0 )
                  | ( cC @ Y0 ) ) ) )
          & $true ) )
    | ~ spl0_2 ),
    inference(superposition,[],[f58,f80]) ).

thf(f80,plain,
    ( ( $true
      = ( sK2 @ cC ) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f79]) ).

thf(f79,plain,
    ( spl0_2
  <=> ( $true
      = ( sK2 @ cC ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

thf(f58,plain,
    ! [X0: a,X1: a > $o] :
      ( ( ( !! @ a
          @ ^ [Y0: a] :
              ( ( cB @ Y0 )
             => ( ( X0 = Y0 )
                | ( X1 @ Y0 ) ) ) )
        & ( sK2 @ X1 ) )
      = $false ),
    inference(not_proxy_clausification,[],[f44]) ).

thf(f44,plain,
    ! [X0: a,X1: a > $o] :
      ( $true
      = ( ~ ( ( !! @ a
              @ ^ [Y0: a] :
                  ( ( cB @ Y0 )
                 => ( ( X0 = Y0 )
                    | ( X1 @ Y0 ) ) ) )
            & ( sK2 @ X1 ) ) ) ),
    inference(boolean_simplification,[],[f42]) ).

thf(f42,plain,
    ! [X0: a,X1: a > $o] :
      ( ( ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( cB @ Y0 )
               => ( ( X0 = Y0 )
                  | ( X1 @ Y0 ) ) ) )
          & ( sK2 @ X1 ) )
       => $false )
      = $true ),
    inference(superposition,[],[f36,f20]) ).

thf(f20,plain,
    ( ( sK2 @ cB )
    = $false ),
    inference(boolean_simplification,[],[f19]) ).

thf(f19,plain,
    ( $false
    = ( $true
     => ( sK2 @ cB ) ) ),
    inference(backward_demodulation,[],[f16,f18]) ).

thf(f110,plain,
    ( ! [X0: a] :
        ( $true
        = ( ~ ( cB @ ( sK4 @ X0 ) ) ) )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f109]) ).

thf(f109,plain,
    ( ! [X0: a] :
        ( $true
        = ( ( cB @ ( sK4 @ X0 ) )
         => $false ) )
    | ~ spl0_2 ),
    inference(superposition,[],[f52,f108]) ).

thf(f108,plain,
    ( ! [X0: a] :
        ( ( cC @ ( sK4 @ X0 ) )
        = $false )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f107]) ).

thf(f107,plain,
    ( ! [X0: a] :
        ( ( $false
          | ( cC @ ( sK4 @ X0 ) ) )
        = $false )
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f104,f106]) ).

thf(f106,plain,
    ( ! [X0: a] :
        ( $false
        = ( X0
          = ( sK4 @ X0 ) ) )
    | ~ spl0_2 ),
    inference(binary_proxy_clausification,[],[f104]) ).

thf(f104,plain,
    ( ! [X0: a] :
        ( $false
        = ( ( X0
            = ( sK4 @ X0 ) )
          | ( cC @ ( sK4 @ X0 ) ) ) )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f103]) ).

thf(f103,plain,
    ( ! [X0: a] :
        ( ( $true
         => ( ( X0
              = ( sK4 @ X0 ) )
            | ( cC @ ( sK4 @ X0 ) ) ) )
        = $false )
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f97,f102]) ).

thf(f52,plain,
    ! [X1: a] :
      ( $true
      = ( ( cB @ X1 )
       => ( cC @ X1 ) ) ),
    inference(beta_eta_normalization,[],[f51]) ).

thf(f51,plain,
    ! [X1: a] :
      ( $true
      = ( ^ [Y0: a] :
            ( ( cB @ Y0 )
           => ( cC @ Y0 ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f50]) ).

thf(f50,plain,
    ( $true
    = ( !! @ a
      @ ^ [Y0: a] :
          ( ( cB @ Y0 )
         => ( cC @ Y0 ) ) ) ),
    inference(boolean_simplification,[],[f49]) ).

thf(f49,plain,
    ( $true
    = ( $true
      & ( !! @ a
        @ ^ [Y0: a] :
            ( ( cB @ Y0 )
           => ( cC @ Y0 ) ) ) ) ),
    inference(backward_demodulation,[],[f12,f48]) ).

thf(f48,plain,
    ( $true
    = ( !! @ ( ( a > $o ) > $o )
      @ ^ [Y0: ( a > $o ) > $o] :
          ( ( ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ~ ( ?? @ a @ Y1 )
                 => ( Y0 @ Y1 ) ) )
            & ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( !! @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( !! @ a
                      @ ^ [Y3: a] :
                          ( ( ( Y0 @ Y1 )
                            & ( !! @ a
                              @ ^ [Y4: a] :
                                  ( ( Y2 @ Y4 )
                                 => ( ( Y3 = Y4 )
                                    | ( Y1 @ Y4 ) ) ) ) )
                         => ( Y0 @ Y2 ) ) ) ) ) )
         => ( Y0 @ cC ) ) ) ),
    inference(binary_proxy_clausification,[],[f12]) ).

thf(f81,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f74,f79,f76]) ).

thf(f74,plain,
    ( ( $false
      = ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( !! @ a
                @ ^ [Y2: a] :
                    ( ( ( sK2 @ Y0 )
                      & ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( Y1 @ Y3 )
                           => ( ( Y2 = Y3 )
                              | ( Y0 @ Y3 ) ) ) ) )
                   => ( sK2 @ Y1 ) ) ) ) ) )
    | ( $true
      = ( sK2 @ cC ) ) ),
    inference(binary_proxy_clausification,[],[f73]) ).

thf(f73,plain,
    ( $true
    = ( ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( !! @ a
                @ ^ [Y2: a] :
                    ( ( ( sK2 @ Y0 )
                      & ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( Y1 @ Y3 )
                           => ( ( Y2 = Y3 )
                              | ( Y0 @ Y3 ) ) ) ) )
                   => ( sK2 @ Y1 ) ) ) ) )
     => ( sK2 @ cC ) ) ),
    inference(boolean_simplification,[],[f72]) ).

thf(f72,plain,
    ( $true
    = ( ( $true
        & ( !! @ ( a > $o )
          @ ^ [Y0: a > $o] :
              ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( ( sK2 @ Y0 )
                        & ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y1 @ Y3 )
                             => ( ( Y2 = Y3 )
                                | ( Y0 @ Y3 ) ) ) ) )
                     => ( sK2 @ Y1 ) ) ) ) ) )
     => ( sK2 @ cC ) ) ),
    inference(superposition,[],[f70,f22]) ).

thf(f70,plain,
    ! [X1: ( a > $o ) > $o] :
      ( $true
      = ( ( ( !! @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( ~ ( ?? @ a @ Y0 )
               => ( X1 @ Y0 ) ) )
          & ( !! @ ( a > $o )
            @ ^ [Y0: a > $o] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( ( X1 @ Y0 )
                          & ( !! @ a
                            @ ^ [Y3: a] :
                                ( ( Y1 @ Y3 )
                               => ( ( Y2 = Y3 )
                                  | ( Y0 @ Y3 ) ) ) ) )
                       => ( X1 @ Y1 ) ) ) ) ) )
       => ( X1 @ cC ) ) ),
    inference(beta_eta_normalization,[],[f69]) ).

thf(f69,plain,
    ! [X1: ( a > $o ) > $o] :
      ( ( ^ [Y0: ( a > $o ) > $o] :
            ( ( ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ~ ( ?? @ a @ Y1 )
                   => ( Y0 @ Y1 ) ) )
              & ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( !! @ ( a > $o )
                    @ ^ [Y2: a > $o] :
                        ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( ( Y0 @ Y1 )
                              & ( !! @ a
                                @ ^ [Y4: a] :
                                    ( ( Y2 @ Y4 )
                                   => ( ( Y3 = Y4 )
                                      | ( Y1 @ Y4 ) ) ) ) )
                           => ( Y0 @ Y2 ) ) ) ) ) )
           => ( Y0 @ cC ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SEU861^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.35  % Computer : n003.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.21/0.36  % CPULimit   : 300
% 0.21/0.36  % WCLimit    : 300
% 0.21/0.36  % DateTime   : Sun May 19 17:12:38 EDT 2024
% 0.21/0.36  % CPUTime    : 
% 0.21/0.36  This is a TH0_THM_EQU_NAR problem
% 0.21/0.36  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.38  % (32591)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38  % (32592)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38  % (32593)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.21/0.38  % (32589)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.38  % (32592)Instruction limit reached!
% 0.21/0.38  % (32592)------------------------------
% 0.21/0.38  % (32592)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (32592)Termination reason: Unknown
% 0.21/0.38  % (32592)Termination phase: shuffling
% 0.21/0.38  % (32588)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.38  
% 0.21/0.38  % (32592)Memory used [KB]: 895
% 0.21/0.38  % (32592)Time elapsed: 0.003 s
% 0.21/0.38  % (32592)Instructions burned: 2 (million)
% 0.21/0.38  % (32592)------------------------------
% 0.21/0.38  % (32592)------------------------------
% 0.21/0.38  % (32590)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.21/0.38  % (32591)Instruction limit reached!
% 0.21/0.38  % (32591)------------------------------
% 0.21/0.38  % (32591)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (32591)Termination reason: Unknown
% 0.21/0.38  % (32594)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.38  % (32591)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (32591)Memory used [KB]: 5500
% 0.21/0.38  % (32591)Time elapsed: 0.003 s
% 0.21/0.38  % (32591)Instructions burned: 2 (million)
% 0.21/0.38  % (32591)------------------------------
% 0.21/0.38  % (32591)------------------------------
% 0.21/0.38  % (32589)Instruction limit reached!
% 0.21/0.38  % (32589)------------------------------
% 0.21/0.38  % (32589)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (32589)Termination reason: Unknown
% 0.21/0.38  % (32589)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (32589)Memory used [KB]: 5500
% 0.21/0.38  % (32589)Time elapsed: 0.005 s
% 0.21/0.38  % (32589)Instructions burned: 4 (million)
% 0.21/0.38  % (32589)------------------------------
% 0.21/0.38  % (32589)------------------------------
% 0.21/0.38  % (32595)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.38  % (32595)Instruction limit reached!
% 0.21/0.38  % (32595)------------------------------
% 0.21/0.38  % (32595)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (32595)Termination reason: Unknown
% 0.21/0.39  % (32595)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (32595)Memory used [KB]: 5500
% 0.21/0.39  % (32595)Time elapsed: 0.005 s
% 0.21/0.39  % (32595)Instructions burned: 3 (million)
% 0.21/0.39  % (32595)------------------------------
% 0.21/0.39  % (32595)------------------------------
% 0.21/0.39  % (32594)Instruction limit reached!
% 0.21/0.39  % (32594)------------------------------
% 0.21/0.39  % (32594)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (32594)Termination reason: Unknown
% 0.21/0.39  % (32594)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (32594)Memory used [KB]: 5628
% 0.21/0.39  % (32594)Time elapsed: 0.014 s
% 0.21/0.39  % (32594)Instructions burned: 19 (million)
% 0.21/0.39  % (32594)------------------------------
% 0.21/0.39  % (32594)------------------------------
% 0.21/0.39  % (32600)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.39  % (32601)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.40  % (32602)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.40  % (32602)Instruction limit reached!
% 0.21/0.40  % (32602)------------------------------
% 0.21/0.40  % (32602)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (32602)Termination reason: Unknown
% 0.21/0.40  % (32602)Termination phase: Saturation
% 0.21/0.40  
% 0.21/0.40  % (32602)Memory used [KB]: 5500
% 0.21/0.40  % (32602)Time elapsed: 0.004 s
% 0.21/0.40  % (32602)Instructions burned: 3 (million)
% 0.21/0.40  % (32602)------------------------------
% 0.21/0.40  % (32602)------------------------------
% 0.21/0.40  % (32590)Instruction limit reached!
% 0.21/0.40  % (32590)------------------------------
% 0.21/0.40  % (32590)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (32590)Termination reason: Unknown
% 0.21/0.40  % (32590)Termination phase: Saturation
% 0.21/0.40  
% 0.21/0.40  % (32590)Memory used [KB]: 5628
% 0.21/0.40  % (32590)Time elapsed: 0.022 s
% 0.21/0.40  % (32590)Instructions burned: 28 (million)
% 0.21/0.40  % (32590)------------------------------
% 0.21/0.40  % (32590)------------------------------
% 0.21/0.40  % (32603)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  % (32601)Instruction limit reached!
% 0.21/0.41  % (32601)------------------------------
% 0.21/0.41  % (32601)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (32601)Termination reason: Unknown
% 0.21/0.41  % (32601)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (32601)Memory used [KB]: 5628
% 0.21/0.41  % (32601)Time elapsed: 0.014 s
% 0.21/0.41  % (32601)Instructions burned: 15 (million)
% 0.21/0.41  % (32601)------------------------------
% 0.21/0.41  % (32601)------------------------------
% 0.21/0.41  % (32607)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41  % (32607)Instruction limit reached!
% 0.21/0.41  % (32607)------------------------------
% 0.21/0.41  % (32607)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (32607)Termination reason: Unknown
% 0.21/0.41  % (32607)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (32607)Memory used [KB]: 1023
% 0.21/0.41  % (32607)Time elapsed: 0.007 s
% 0.21/0.41  % (32607)Instructions burned: 7 (million)
% 0.21/0.41  % (32607)------------------------------
% 0.21/0.41  % (32607)------------------------------
% 0.21/0.41  % (32610)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  % (32600)Instruction limit reached!
% 0.21/0.42  % (32600)------------------------------
% 0.21/0.42  % (32600)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (32600)Termination reason: Unknown
% 0.21/0.42  % (32600)Termination phase: Saturation
% 0.21/0.42  
% 0.21/0.42  % (32600)Memory used [KB]: 5756
% 0.21/0.42  % (32600)Time elapsed: 0.024 s
% 0.21/0.42  % (32600)Instructions burned: 37 (million)
% 0.21/0.42  % (32600)------------------------------
% 0.21/0.42  % (32600)------------------------------
% 0.21/0.42  % (32611)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42  % (32611)Instruction limit reached!
% 0.21/0.42  % (32611)------------------------------
% 0.21/0.42  % (32611)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (32611)Termination reason: Unknown
% 0.21/0.42  % (32611)Termination phase: Property scanning
% 0.21/0.42  
% 0.21/0.42  % (32611)Memory used [KB]: 1023
% 0.21/0.42  % (32611)Time elapsed: 0.004 s
% 0.21/0.42  % (32611)Instructions burned: 4 (million)
% 0.21/0.42  % (32611)------------------------------
% 0.21/0.42  % (32611)------------------------------
% 0.21/0.43  % (32610)Instruction limit reached!
% 0.21/0.43  % (32610)------------------------------
% 0.21/0.43  % (32610)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (32610)Termination reason: Unknown
% 0.21/0.43  % (32610)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (32610)Memory used [KB]: 5628
% 0.21/0.43  % (32610)Time elapsed: 0.013 s
% 0.21/0.43  % (32610)Instructions burned: 16 (million)
% 0.21/0.43  % (32610)------------------------------
% 0.21/0.43  % (32610)------------------------------
% 0.21/0.43  % (32615)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)
% 0.21/0.43  % (32619)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)
% 0.21/0.43  % (32603)First to succeed.
% 0.21/0.43  % (32615)Instruction limit reached!
% 0.21/0.43  % (32615)------------------------------
% 0.21/0.43  % (32615)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (32615)Termination reason: Unknown
% 0.21/0.43  % (32615)Termination phase: Property scanning
% 0.21/0.43  
% 0.21/0.43  % (32615)Memory used [KB]: 1023
% 0.21/0.43  % (32615)Time elapsed: 0.004 s
% 0.21/0.43  % (32615)Instructions burned: 3 (million)
% 0.21/0.43  % (32615)------------------------------
% 0.21/0.43  % (32615)------------------------------
% 0.21/0.43  % (32620)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.43  % (32620)Instruction limit reached!
% 0.21/0.43  % (32620)------------------------------
% 0.21/0.43  % (32620)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (32620)Termination reason: Unknown
% 0.21/0.43  % (32620)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (32620)Memory used [KB]: 5500
% 0.21/0.43  % (32620)Time elapsed: 0.004 s
% 0.21/0.43  % (32620)Instructions burned: 4 (million)
% 0.21/0.43  % (32620)------------------------------
% 0.21/0.43  % (32620)------------------------------
% 0.21/0.43  % (32619)Instruction limit reached!
% 0.21/0.43  % (32619)------------------------------
% 0.21/0.43  % (32619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (32619)Termination reason: Unknown
% 0.21/0.43  % (32619)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (32619)Memory used [KB]: 5500
% 0.21/0.43  % (32619)Time elapsed: 0.007 s
% 0.21/0.43  % (32619)Instructions burned: 7 (million)
% 0.21/0.43  % (32619)------------------------------
% 0.21/0.43  % (32619)------------------------------
% 0.21/0.43  % (32621)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.43  % (32603)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Theorem for theBenchmark
% 0.21/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43  % (32603)------------------------------
% 0.21/0.43  % (32603)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (32603)Termination reason: Refutation
% 0.21/0.43  
% 0.21/0.43  % (32603)Memory used [KB]: 5756
% 0.21/0.43  % (32603)Time elapsed: 0.032 s
% 0.21/0.43  % (32603)Instructions burned: 36 (million)
% 0.21/0.43  % (32603)------------------------------
% 0.21/0.43  % (32603)------------------------------
% 0.21/0.43  % (32584)Success in time 0.061 s
% 0.21/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------