TSTP Solution File: SEV224^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV224^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 09:41:49 EDT 2024

% Result   : Theorem 0.16s 0.35s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   28 (  16 unt;   9 typ;   0 def)
%            Number of atoms       :  168 (  59 equ;   0 cnn)
%            Maximal formula atoms :    2 (   8 avg)
%            Number of connectives :  381 (   5   ~;   0   |;  18   &; 258   @)
%                                         (   3 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :  232 ( 232   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   5 usr;   5 con; 0-2 aty)
%                                         (  42  !!;  25  ??;   0 @@+;   0 @@-)
%            Number of variables   :  111 (  84   ^  20   !;   6   ?; 111   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

thf(type_def_6,type,
    a: $tType ).

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

thf(func_def_1,type,
    a: $tType ).

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

thf(func_def_20,type,
    sK2: a ).

thf(func_def_21,type,
    sK3: b > a > $o ).

thf(func_def_22,type,
    sK4: b > $o ).

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

thf(f32,plain,
    $false,
    inference(equality_resolution,[],[f21]) ).

thf(f21,plain,
    ! [X1: ( b > $o ) > ( b > $o ) > $o] :
      ( ( X1 @ sK4 @ ( sK5 @ X1 ) )
     != ( !! @ ( a > $o )
        @ ^ [Y0: a > $o] :
            ( ( ?? @ b
              @ ^ [Y1: b] :
                  ( ( ( sK3 @ Y1 )
                    = Y0 )
                  & ( sK5 @ X1 @ Y1 ) ) )
           => ( Y0 @ sK2 ) ) ) ),
    inference(binary_proxy_clausification,[],[f20]) ).

thf(f20,plain,
    ! [X1: ( b > $o ) > ( b > $o ) > $o] :
      ( $false
      = ( ( X1 @ sK4 @ ( sK5 @ X1 ) )
        = ( !! @ ( a > $o )
          @ ^ [Y0: a > $o] :
              ( ( ?? @ b
                @ ^ [Y1: b] :
                    ( ( ( sK3 @ Y1 )
                      = Y0 )
                    & ( sK5 @ X1 @ Y1 ) ) )
             => ( Y0 @ sK2 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f19]) ).

thf(f19,plain,
    ! [X1: ( b > $o ) > ( b > $o ) > $o] :
      ( $false
      = ( ^ [Y0: b > $o] :
            ( ( X1 @ sK4 @ Y0 )
            = ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( ?? @ b
                    @ ^ [Y2: b] :
                        ( ( ( sK3 @ Y2 )
                          = Y1 )
                        & ( Y0 @ Y2 ) ) )
                 => ( Y1 @ sK2 ) ) ) )
        @ ( sK5 @ X1 ) ) ),
    inference(sigma_clausification,[],[f18]) ).

thf(f18,plain,
    ! [X1: ( b > $o ) > ( b > $o ) > $o] :
      ( $false
      = ( !! @ ( b > $o )
        @ ^ [Y0: b > $o] :
            ( ( X1 @ sK4 @ Y0 )
            = ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( ( ?? @ b
                    @ ^ [Y2: b] :
                        ( ( ( sK3 @ Y2 )
                          = Y1 )
                        & ( Y0 @ Y2 ) ) )
                 => ( Y1 @ sK2 ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f17]) ).

thf(f17,plain,
    ! [X1: ( b > $o ) > ( b > $o ) > $o] :
      ( $false
      = ( ^ [Y0: ( b > $o ) > ( b > $o ) > $o] :
            ( !! @ ( b > $o )
            @ ^ [Y1: b > $o] :
                ( ( Y0 @ sK4 @ Y1 )
                = ( !! @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( ( ?? @ b
                        @ ^ [Y3: b] :
                            ( ( ( sK3 @ Y3 )
                              = Y2 )
                            & ( Y1 @ Y3 ) ) )
                     => ( Y2 @ sK2 ) ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f14]) ).

thf(f14,plain,
    ( $false
    = ( ?? @ ( ( b > $o ) > ( b > $o ) > $o )
      @ ^ [Y0: ( b > $o ) > ( b > $o ) > $o] :
          ( !! @ ( b > $o )
          @ ^ [Y1: b > $o] :
              ( ( Y0 @ sK4 @ Y1 )
              = ( !! @ ( a > $o )
                @ ^ [Y2: a > $o] :
                    ( ( ?? @ b
                      @ ^ [Y3: b] :
                          ( ( ( sK3 @ Y3 )
                            = Y2 )
                          & ( Y1 @ Y3 ) ) )
                   => ( Y2 @ sK2 ) ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f13]) ).

thf(f13,plain,
    ( $false
    = ( ( ( ^ [Y0: b] : ( sK3 @ Y0 @ sK2 ) )
        = sK4 )
     => ( ?? @ ( ( b > $o ) > ( b > $o ) > $o )
        @ ^ [Y0: ( b > $o ) > ( b > $o ) > $o] :
            ( !! @ ( b > $o )
            @ ^ [Y1: b > $o] :
                ( ( Y0 @ sK4 @ Y1 )
                = ( !! @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( ( ?? @ b
                        @ ^ [Y3: b] :
                            ( ( ( sK3 @ Y3 )
                              = Y2 )
                            & ( Y1 @ Y3 ) ) )
                     => ( Y2 @ sK2 ) ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f12]) ).

thf(f12,plain,
    ( $false
    = ( ^ [Y0: b > $o] :
          ( ( ( ^ [Y1: b] : ( sK3 @ Y1 @ sK2 ) )
            = Y0 )
         => ( ?? @ ( ( b > $o ) > ( b > $o ) > $o )
            @ ^ [Y1: ( b > $o ) > ( b > $o ) > $o] :
                ( !! @ ( b > $o )
                @ ^ [Y2: b > $o] :
                    ( ( Y1 @ Y0 @ Y2 )
                    = ( !! @ ( a > $o )
                      @ ^ [Y3: a > $o] :
                          ( ( ?? @ b
                            @ ^ [Y4: b] :
                                ( ( ( sK3 @ Y4 )
                                  = Y3 )
                                & ( Y2 @ Y4 ) ) )
                         => ( Y3 @ sK2 ) ) ) ) ) ) )
      @ sK4 ) ),
    inference(sigma_clausification,[],[f11]) ).

thf(f11,plain,
    ( $false
    = ( !! @ ( b > $o )
      @ ^ [Y0: b > $o] :
          ( ( ( ^ [Y1: b] : ( sK3 @ Y1 @ sK2 ) )
            = Y0 )
         => ( ?? @ ( ( b > $o ) > ( b > $o ) > $o )
            @ ^ [Y1: ( b > $o ) > ( b > $o ) > $o] :
                ( !! @ ( b > $o )
                @ ^ [Y2: b > $o] :
                    ( ( Y1 @ Y0 @ Y2 )
                    = ( !! @ ( a > $o )
                      @ ^ [Y3: a > $o] :
                          ( ( ?? @ b
                            @ ^ [Y4: b] :
                                ( ( ( sK3 @ Y4 )
                                  = Y3 )
                                & ( Y2 @ Y4 ) ) )
                         => ( Y3 @ sK2 ) ) ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f10]) ).

thf(f10,plain,
    ( $false
    = ( ^ [Y0: b > a > $o] :
          ( !! @ ( b > $o )
          @ ^ [Y1: b > $o] :
              ( ( ( ^ [Y2: b] : ( Y0 @ Y2 @ sK2 ) )
                = Y1 )
             => ( ?? @ ( ( b > $o ) > ( b > $o ) > $o )
                @ ^ [Y2: ( b > $o ) > ( b > $o ) > $o] :
                    ( !! @ ( b > $o )
                    @ ^ [Y3: b > $o] :
                        ( ( Y2 @ Y1 @ Y3 )
                        = ( !! @ ( a > $o )
                          @ ^ [Y4: a > $o] :
                              ( ( ?? @ b
                                @ ^ [Y5: b] :
                                    ( ( ( Y0 @ Y5 )
                                      = Y4 )
                                    & ( Y3 @ Y5 ) ) )
                             => ( Y4 @ sK2 ) ) ) ) ) ) ) )
      @ sK3 ) ),
    inference(sigma_clausification,[],[f9]) ).

thf(f9,plain,
    ( $false
    = ( !! @ ( b > a > $o )
      @ ^ [Y0: b > a > $o] :
          ( !! @ ( b > $o )
          @ ^ [Y1: b > $o] :
              ( ( ( ^ [Y2: b] : ( Y0 @ Y2 @ sK2 ) )
                = Y1 )
             => ( ?? @ ( ( b > $o ) > ( b > $o ) > $o )
                @ ^ [Y2: ( b > $o ) > ( b > $o ) > $o] :
                    ( !! @ ( b > $o )
                    @ ^ [Y3: b > $o] :
                        ( ( Y2 @ Y1 @ Y3 )
                        = ( !! @ ( a > $o )
                          @ ^ [Y4: a > $o] :
                              ( ( ?? @ b
                                @ ^ [Y5: b] :
                                    ( ( ( Y0 @ Y5 )
                                      = Y4 )
                                    & ( Y3 @ Y5 ) ) )
                             => ( Y4 @ sK2 ) ) ) ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f8]) ).

thf(f8,plain,
    ( $false
    = ( ^ [Y0: a] :
          ( !! @ ( b > a > $o )
          @ ^ [Y1: b > a > $o] :
              ( !! @ ( b > $o )
              @ ^ [Y2: b > $o] :
                  ( ( ( ^ [Y3: b] : ( Y1 @ Y3 @ Y0 ) )
                    = Y2 )
                 => ( ?? @ ( ( b > $o ) > ( b > $o ) > $o )
                    @ ^ [Y3: ( b > $o ) > ( b > $o ) > $o] :
                        ( !! @ ( b > $o )
                        @ ^ [Y4: b > $o] :
                            ( ( Y3 @ Y2 @ Y4 )
                            = ( !! @ ( a > $o )
                              @ ^ [Y5: a > $o] :
                                  ( ( ?? @ b
                                    @ ^ [Y6: b] :
                                        ( ( ( Y1 @ Y6 )
                                          = Y5 )
                                        & ( Y4 @ Y6 ) ) )
                                 => ( Y5 @ Y0 ) ) ) ) ) ) ) ) )
      @ sK2 ) ),
    inference(sigma_clausification,[],[f7]) ).

thf(f7,plain,
    ( $false
    = ( !! @ a
      @ ^ [Y0: a] :
          ( !! @ ( b > a > $o )
          @ ^ [Y1: b > a > $o] :
              ( !! @ ( b > $o )
              @ ^ [Y2: b > $o] :
                  ( ( ( ^ [Y3: b] : ( Y1 @ Y3 @ Y0 ) )
                    = Y2 )
                 => ( ?? @ ( ( b > $o ) > ( b > $o ) > $o )
                    @ ^ [Y3: ( b > $o ) > ( b > $o ) > $o] :
                        ( !! @ ( b > $o )
                        @ ^ [Y4: b > $o] :
                            ( ( Y3 @ Y2 @ Y4 )
                            = ( !! @ ( a > $o )
                              @ ^ [Y5: a > $o] :
                                  ( ( ?? @ b
                                    @ ^ [Y6: b] :
                                        ( ( ( Y1 @ Y6 )
                                          = Y5 )
                                        & ( Y4 @ Y6 ) ) )
                                 => ( Y5 @ Y0 ) ) ) ) ) ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f6]) ).

thf(f6,plain,
    ( ( ~ ( !! @ a
          @ ^ [Y0: a] :
              ( !! @ ( b > a > $o )
              @ ^ [Y1: b > a > $o] :
                  ( !! @ ( b > $o )
                  @ ^ [Y2: b > $o] :
                      ( ( ( ^ [Y3: b] : ( Y1 @ Y3 @ Y0 ) )
                        = Y2 )
                     => ( ?? @ ( ( b > $o ) > ( b > $o ) > $o )
                        @ ^ [Y3: ( b > $o ) > ( b > $o ) > $o] :
                            ( !! @ ( b > $o )
                            @ ^ [Y4: b > $o] :
                                ( ( Y3 @ Y2 @ Y4 )
                                = ( !! @ ( a > $o )
                                  @ ^ [Y5: a > $o] :
                                      ( ( ?? @ b
                                        @ ^ [Y6: b] :
                                            ( ( ( Y1 @ Y6 )
                                              = Y5 )
                                            & ( Y4 @ Y6 ) ) )
                                     => ( Y5 @ Y0 ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f5]) ).

thf(f5,plain,
    ( ( ~ ( !! @ a
          @ ^ [Y0: a] :
              ( !! @ ( b > a > $o )
              @ ^ [Y1: b > a > $o] :
                  ( !! @ ( b > $o )
                  @ ^ [Y2: b > $o] :
                      ( ( ( ^ [Y3: b] : ( Y1 @ Y3 @ Y0 ) )
                        = Y2 )
                     => ( ?? @ ( ( b > $o ) > ( b > $o ) > $o )
                        @ ^ [Y3: ( b > $o ) > ( b > $o ) > $o] :
                            ( !! @ ( b > $o )
                            @ ^ [Y4: b > $o] :
                                ( ( Y3 @ Y2 @ Y4 )
                                = ( !! @ ( a > $o )
                                  @ ^ [Y5: a > $o] :
                                      ( ( ?? @ b
                                        @ ^ [Y6: b] :
                                            ( ( ( Y1 @ Y6 )
                                              = Y5 )
                                            & ( Y4 @ Y6 ) ) )
                                     => ( Y5 @ Y0 ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f4]) ).

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

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

thf(f1,conjecture,
    ! [X2: b > $o,X0: b > a > $o,X1: a] :
      ( ( ( ^ [X3: b] : ( X0 @ X3 @ X1 ) )
        = X2 )
     => ? [X4: ( b > $o ) > ( b > $o ) > $o] :
        ! [X5: b > $o] :
          ( ( X4 @ X2 @ X5 )
        <=> ! [X6: a > $o] :
              ( ? [X7: b] :
                  ( ( X5 @ X7 )
                  & ( ( X0 @ X7 )
                    = X6 ) )
             => ( X6 @ X1 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Tj1nd2kqkg/Vampire---4.8_3853',cTHM142_1_pme) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SEV224^5 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.31  % Computer : n017.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit   : 300
% 0.09/0.31  % WCLimit    : 300
% 0.09/0.31  % DateTime   : Fri May  3 11:38:21 EDT 2024
% 0.09/0.31  % CPUTime    : 
% 0.09/0.31  This is a TH0_THM_EQU_NAR problem
% 0.09/0.31  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.Tj1nd2kqkg/Vampire---4.8_3853
% 0.16/0.32  % (3969)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (3000ds/27Mi)
% 0.16/0.32  % (3971)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.16/0.32  % (3970)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.16/0.32  % (3968)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (3000ds/4Mi)
% 0.16/0.32  % (3967)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.16/0.32  % (3972)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.16/0.33  % (3973)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.16/0.33  % (3970)Instruction limit reached!
% 0.16/0.33  % (3970)------------------------------
% 0.16/0.33  % (3970)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33  % (3970)Termination reason: Unknown
% 0.16/0.33  % (3970)Termination phase: Saturation
% 0.16/0.33  
% 0.16/0.33  % (3971)Instruction limit reached!
% 0.16/0.33  % (3971)------------------------------
% 0.16/0.33  % (3971)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33  % (3971)Termination reason: Unknown
% 0.16/0.33  % (3971)Termination phase: Saturation
% 0.16/0.33  
% 0.16/0.33  % (3971)Memory used [KB]: 5500
% 0.16/0.33  % (3971)Time elapsed: 0.003 s
% 0.16/0.33  % (3971)Instructions burned: 2 (million)
% 0.16/0.33  % (3971)------------------------------
% 0.16/0.33  % (3971)------------------------------
% 0.16/0.33  % (3970)Memory used [KB]: 5500
% 0.16/0.33  % (3970)Time elapsed: 0.003 s
% 0.16/0.33  % (3970)Instructions burned: 2 (million)
% 0.16/0.33  % (3970)------------------------------
% 0.16/0.33  % (3970)------------------------------
% 0.16/0.33  % (3969)Refutation not found, incomplete strategy
% 0.16/0.33  % (3969)------------------------------
% 0.16/0.33  % (3969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33  % (3969)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.33  
% 0.16/0.33  % (3974)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.16/0.33  
% 0.16/0.33  % (3969)Memory used [KB]: 5500
% 0.16/0.33  % (3969)Time elapsed: 0.003 s
% 0.16/0.33  % (3969)Instructions burned: 2 (million)
% 0.16/0.33  % (3969)------------------------------
% 0.16/0.33  % (3969)------------------------------
% 0.16/0.33  % (3968)Instruction limit reached!
% 0.16/0.33  % (3968)------------------------------
% 0.16/0.33  % (3968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33  % (3968)Termination reason: Unknown
% 0.16/0.33  % (3968)Termination phase: Saturation
% 0.16/0.33  
% 0.16/0.33  % (3968)Memory used [KB]: 5500
% 0.16/0.33  % (3968)Time elapsed: 0.005 s
% 0.16/0.33  % (3968)Instructions burned: 5 (million)
% 0.16/0.33  % (3968)------------------------------
% 0.16/0.33  % (3968)------------------------------
% 0.16/0.33  % (3974)Instruction limit reached!
% 0.16/0.33  % (3974)------------------------------
% 0.16/0.33  % (3974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33  % (3974)Termination reason: Unknown
% 0.16/0.33  % (3974)Termination phase: Saturation
% 0.16/0.33  
% 0.16/0.33  % (3974)Memory used [KB]: 5500
% 0.16/0.33  % (3974)Time elapsed: 0.004 s
% 0.16/0.33  % (3974)Instructions burned: 4 (million)
% 0.16/0.33  % (3974)------------------------------
% 0.16/0.33  % (3974)------------------------------
% 0.16/0.34  % (3973)Instruction limit reached!
% 0.16/0.34  % (3973)------------------------------
% 0.16/0.34  % (3973)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.34  % (3973)Termination reason: Unknown
% 0.16/0.34  % (3973)Termination phase: Saturation
% 0.16/0.34  
% 0.16/0.34  % (3973)Memory used [KB]: 5628
% 0.16/0.34  % (3973)Time elapsed: 0.011 s
% 0.16/0.34  % (3973)Instructions burned: 19 (million)
% 0.16/0.34  % (3973)------------------------------
% 0.16/0.34  % (3973)------------------------------
% 0.16/0.34  % (3975)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.16/0.34  % (3976)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.16/0.34  % (3977)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.16/0.34  % (3978)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.16/0.34  % (3979)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.16/0.34  % (3977)Instruction limit reached!
% 0.16/0.34  % (3977)------------------------------
% 0.16/0.34  % (3977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.34  % (3977)Termination reason: Unknown
% 0.16/0.34  % (3977)Termination phase: Saturation
% 0.16/0.34  
% 0.16/0.34  % (3977)Memory used [KB]: 5500
% 0.16/0.34  % (3977)Time elapsed: 0.003 s
% 0.16/0.34  % (3977)Instructions burned: 3 (million)
% 0.16/0.34  % (3977)------------------------------
% 0.16/0.34  % (3977)------------------------------
% 0.16/0.35  % (3979)Instruction limit reached!
% 0.16/0.35  % (3979)------------------------------
% 0.16/0.35  % (3979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.35  % (3979)Termination reason: Unknown
% 0.16/0.35  % (3979)Termination phase: Saturation
% 0.16/0.35  
% 0.16/0.35  % (3979)Memory used [KB]: 1023
% 0.16/0.35  % (3979)Time elapsed: 0.026 s
% 0.16/0.35  % (3979)Instructions burned: 7 (million)
% 0.16/0.35  % (3979)------------------------------
% 0.16/0.35  % (3979)------------------------------
% 0.16/0.35  % (3976)Instruction limit reached!
% 0.16/0.35  % (3976)------------------------------
% 0.16/0.35  % (3976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.35  % (3976)Termination reason: Unknown
% 0.16/0.35  % (3976)Termination phase: Saturation
% 0.16/0.35  
% 0.16/0.35  % (3976)Memory used [KB]: 5756
% 0.16/0.35  % (3976)Time elapsed: 0.010 s
% 0.16/0.35  % (3976)Instructions burned: 16 (million)
% 0.16/0.35  % (3976)------------------------------
% 0.16/0.35  % (3976)------------------------------
% 0.16/0.35  % (3980)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.16/0.35  % (3975)First to succeed.
% 0.16/0.35  % (3975)Refutation found. Thanks to Tanya!
% 0.16/0.35  % SZS status Theorem for Vampire---4
% 0.16/0.35  % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.35  % (3975)------------------------------
% 0.16/0.35  % (3975)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.35  % (3975)Termination reason: Refutation
% 0.16/0.35  
% 0.16/0.35  % (3975)Memory used [KB]: 6140
% 0.16/0.35  % (3975)Time elapsed: 0.015 s
% 0.16/0.35  % (3975)Instructions burned: 28 (million)
% 0.16/0.35  % (3975)------------------------------
% 0.16/0.35  % (3975)------------------------------
% 0.16/0.35  % (3966)Success in time 0.029 s
% 0.16/0.36  % Vampire---4.8 exiting
%------------------------------------------------------------------------------