TSTP Solution File: SEV067^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV067^5 : 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 : n026.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 09:41:14 EDT 2024

% Result   : Theorem 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   42 (   7 unt;   7 typ;   0 def)
%            Number of atoms       :  499 ( 148 equ;   0 cnn)
%            Maximal formula atoms :   19 (  14 avg)
%            Number of connectives :  541 (  81   ~;  76   |;  76   &; 276   @)
%                                         (   2 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :  130 (   0   ^ 122   !;   8   ?; 130   :)

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

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

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

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

thf(func_def_3,type,
    cR: a > a > $o ).

thf(func_def_7,type,
    sK0: a ).

thf(func_def_8,type,
    sK1: a ).

thf(f52,plain,
    $false,
    inference(avatar_sat_refutation,[],[f39,f47,f51]) ).

thf(f51,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f50]) ).

thf(f50,plain,
    ( $false
    | ~ spl2_1 ),
    inference(subsumption_resolution,[],[f49,f13]) ).

thf(f13,plain,
    ( ( cS @ sK1 )
    = $true ),
    inference(cnf_transformation,[],[f11]) ).

thf(f11,plain,
    ( ! [X0: a,X1: a] :
        ( ( X0 = X1 )
        | ( ( cR @ X0 @ X1 )
         != $true )
        | ( ( cR @ X1 @ X0 )
         != $true ) )
    & ( ( cT @ sK0 )
      = $true )
    & ( ( cS @ sK0 )
     != $true )
    & ! [X3: a,X4: a,X5: a] :
        ( ( ( cR @ X4 @ X5 )
          = $true )
        | ( ( cR @ X3 @ X5 )
         != $true )
        | ( ( cR @ X4 @ X3 )
         != $true ) )
    & ! [X6: a,X7: a] :
        ( ( ( cS @ X6 )
         != $true )
        | ( ( cR @ X7 @ X6 )
         != $true )
        | ( ( cS @ X7 )
          = $true ) )
    & ! [X8: a] :
        ( ( cR @ X8 @ X8 )
        = $true )
    & ! [X9: a,X10: a] :
        ( ( ( cT @ X10 )
         != $true )
        | ( ( cR @ X9 @ X10 )
         != $true )
        | ( ( cT @ X9 )
          = $true ) )
    & ( ( cT @ sK1 )
     != $true )
    & ( ( cS @ sK1 )
      = $true )
    & ! [X12: a,X13: a] :
        ( ( ( cR @ X12 @ X13 )
          = $true )
        | ( ( cR @ X13 @ X12 )
          = $true ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9]) ).

thf(f9,plain,
    ( ? [X2: a] :
        ( ( ( cT @ X2 )
          = $true )
        & ( ( cS @ X2 )
         != $true ) )
   => ( ( ( cT @ sK0 )
        = $true )
      & ( ( cS @ sK0 )
       != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f10,plain,
    ( ? [X11: a] :
        ( ( $true
         != ( cT @ X11 ) )
        & ( ( cS @ X11 )
          = $true ) )
   => ( ( ( cT @ sK1 )
       != $true )
      & ( ( cS @ sK1 )
        = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f8,plain,
    ( ! [X0: a,X1: a] :
        ( ( X0 = X1 )
        | ( ( cR @ X0 @ X1 )
         != $true )
        | ( ( cR @ X1 @ X0 )
         != $true ) )
    & ? [X2: a] :
        ( ( ( cT @ X2 )
          = $true )
        & ( ( cS @ X2 )
         != $true ) )
    & ! [X3: a,X4: a,X5: a] :
        ( ( ( cR @ X4 @ X5 )
          = $true )
        | ( ( cR @ X3 @ X5 )
         != $true )
        | ( ( cR @ X4 @ X3 )
         != $true ) )
    & ! [X6: a,X7: a] :
        ( ( ( cS @ X6 )
         != $true )
        | ( ( cR @ X7 @ X6 )
         != $true )
        | ( ( cS @ X7 )
          = $true ) )
    & ! [X8: a] :
        ( ( cR @ X8 @ X8 )
        = $true )
    & ! [X9: a,X10: a] :
        ( ( ( cT @ X10 )
         != $true )
        | ( ( cR @ X9 @ X10 )
         != $true )
        | ( ( cT @ X9 )
          = $true ) )
    & ? [X11: a] :
        ( ( $true
         != ( cT @ X11 ) )
        & ( ( cS @ X11 )
          = $true ) )
    & ! [X12: a,X13: a] :
        ( ( ( cR @ X12 @ X13 )
          = $true )
        | ( ( cR @ X13 @ X12 )
          = $true ) ) ),
    inference(rectify,[],[f7]) ).

thf(f7,plain,
    ( ! [X8: a,X7: a] :
        ( ( X7 = X8 )
        | ( ( cR @ X8 @ X7 )
         != $true )
        | ( ( cR @ X7 @ X8 )
         != $true ) )
    & ? [X13: a] :
        ( ( ( cT @ X13 )
          = $true )
        & ( ( cS @ X13 )
         != $true ) )
    & ! [X11: a,X10: a,X9: a] :
        ( ( $true
          = ( cR @ X10 @ X9 ) )
        | ( ( cR @ X11 @ X9 )
         != $true )
        | ( ( cR @ X10 @ X11 )
         != $true ) )
    & ! [X0: a,X1: a] :
        ( ( ( cS @ X0 )
         != $true )
        | ( ( cR @ X1 @ X0 )
         != $true )
        | ( ( cS @ X1 )
          = $true ) )
    & ! [X2: a] :
        ( ( cR @ X2 @ X2 )
        = $true )
    & ! [X3: a,X4: a] :
        ( ( ( cT @ X4 )
         != $true )
        | ( ( cR @ X3 @ X4 )
         != $true )
        | ( ( cT @ X3 )
          = $true ) )
    & ? [X12: a] :
        ( ( ( cT @ X12 )
         != $true )
        & ( ( cS @ X12 )
          = $true ) )
    & ! [X6: a,X5: a] :
        ( ( ( cR @ X6 @ X5 )
          = $true )
        | ( ( cR @ X5 @ X6 )
          = $true ) ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ( ? [X12: a] :
        ( ( ( cT @ X12 )
         != $true )
        & ( ( cS @ X12 )
          = $true ) )
    & ? [X13: a] :
        ( ( ( cT @ X13 )
          = $true )
        & ( ( cS @ X13 )
         != $true ) )
    & ! [X4: a,X3: a] :
        ( ( ( cT @ X3 )
          = $true )
        | ( ( cT @ X4 )
         != $true )
        | ( ( cR @ X3 @ X4 )
         != $true ) )
    & ! [X7: a,X8: a] :
        ( ( X7 = X8 )
        | ( ( cR @ X7 @ X8 )
         != $true )
        | ( ( cR @ X8 @ X7 )
         != $true ) )
    & ! [X6: a,X5: a] :
        ( ( ( cR @ X6 @ X5 )
          = $true )
        | ( ( cR @ X5 @ X6 )
          = $true ) )
    & ! [X1: a,X0: a] :
        ( ( ( cS @ X1 )
          = $true )
        | ( ( cS @ X0 )
         != $true )
        | ( ( cR @ X1 @ X0 )
         != $true ) )
    & ! [X2: a] :
        ( ( cR @ X2 @ X2 )
        = $true )
    & ! [X10: a,X11: a,X9: a] :
        ( ( $true
          = ( cR @ X10 @ X9 ) )
        | ( ( cR @ X10 @ X11 )
         != $true )
        | ( ( cR @ X11 @ X9 )
         != $true ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ( ( ! [X4: a,X3: a] :
            ( ( ( ( cT @ X4 )
                = $true )
              & ( ( cR @ X3 @ X4 )
                = $true ) )
           => ( ( cT @ X3 )
              = $true ) )
        & ! [X7: a,X8: a] :
            ( ( ( ( cR @ X7 @ X8 )
                = $true )
              & ( ( cR @ X8 @ X7 )
                = $true ) )
           => ( X7 = X8 ) )
        & ! [X6: a,X5: a] :
            ( ( ( cR @ X6 @ X5 )
              = $true )
            | ( ( cR @ X5 @ X6 )
              = $true ) )
        & ! [X1: a,X0: a] :
            ( ( ( ( cS @ X0 )
                = $true )
              & ( ( cR @ X1 @ X0 )
                = $true ) )
           => ( ( cS @ X1 )
              = $true ) )
        & ! [X2: a] :
            ( ( cR @ X2 @ X2 )
            = $true )
        & ! [X10: a,X11: a,X9: a] :
            ( ( ( ( cR @ X10 @ X11 )
                = $true )
              & ( ( cR @ X11 @ X9 )
                = $true ) )
           => ( $true
              = ( cR @ X10 @ X9 ) ) ) )
     => ( ! [X12: a] :
            ( ( ( cS @ X12 )
              = $true )
           => ( ( cT @ X12 )
              = $true ) )
        | ! [X13: a] :
            ( ( ( cT @ X13 )
              = $true )
           => ( ( cS @ X13 )
              = $true ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( ! [X0: a,X1: a] :
            ( ( ( cS @ X0 )
              & ( cR @ X1 @ X0 ) )
           => ( cS @ X1 ) )
        & ! [X2: a] : ( cR @ X2 @ X2 )
        & ! [X3: a,X4: a] :
            ( ( ( cR @ X3 @ X4 )
              & ( cT @ X4 ) )
           => ( cT @ X3 ) )
        & ! [X5: a,X6: a] :
            ( ( cR @ X6 @ X5 )
            | ( cR @ X5 @ X6 ) )
        & ! [X7: a,X8: a] :
            ( ( ( cR @ X7 @ X8 )
              & ( cR @ X8 @ X7 ) )
           => ( X7 = X8 ) )
        & ! [X9: a,X10: a,X11: a] :
            ( ( ( cR @ X10 @ X11 )
              & ( cR @ X11 @ X9 ) )
           => ( cR @ X10 @ X9 ) ) )
     => ( ! [X12: a] :
            ( ( cS @ X12 )
           => ( cT @ X12 ) )
        | ! [X13: a] :
            ( ( cT @ X13 )
           => ( cS @ X13 ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ! [X4: a,X3: a] :
            ( ( ( cS @ X4 )
              & ( cR @ X3 @ X4 ) )
           => ( cS @ X3 ) )
        & ! [X0: a] : ( cR @ X0 @ X0 )
        & ! [X3: a,X4: a] :
            ( ( ( cR @ X3 @ X4 )
              & ( cT @ X4 ) )
           => ( cT @ X3 ) )
        & ! [X1: a,X0: a] :
            ( ( cR @ X0 @ X1 )
            | ( cR @ X1 @ X0 ) )
        & ! [X0: a,X1: a] :
            ( ( ( cR @ X0 @ X1 )
              & ( cR @ X1 @ X0 ) )
           => ( X0 = X1 ) )
        & ! [X2: a,X0: a,X1: a] :
            ( ( ( cR @ X0 @ X1 )
              & ( cR @ X1 @ X2 ) )
           => ( cR @ X0 @ X2 ) ) )
     => ( ! [X0: a] :
            ( ( cS @ X0 )
           => ( cT @ X0 ) )
        | ! [X0: a] :
            ( ( cT @ X0 )
           => ( cS @ X0 ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ! [X4: a,X3: a] :
          ( ( ( cS @ X4 )
            & ( cR @ X3 @ X4 ) )
         => ( cS @ X3 ) )
      & ! [X0: a] : ( cR @ X0 @ X0 )
      & ! [X3: a,X4: a] :
          ( ( ( cR @ X3 @ X4 )
            & ( cT @ X4 ) )
         => ( cT @ X3 ) )
      & ! [X1: a,X0: a] :
          ( ( cR @ X0 @ X1 )
          | ( cR @ X1 @ X0 ) )
      & ! [X0: a,X1: a] :
          ( ( ( cR @ X0 @ X1 )
            & ( cR @ X1 @ X0 ) )
         => ( X0 = X1 ) )
      & ! [X2: a,X0: a,X1: a] :
          ( ( ( cR @ X0 @ X1 )
            & ( cR @ X1 @ X2 ) )
         => ( cR @ X0 @ X2 ) ) )
   => ( ! [X0: a] :
          ( ( cS @ X0 )
         => ( cT @ X0 ) )
      | ! [X0: a] :
          ( ( cT @ X0 )
         => ( cS @ X0 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.CeVnEbFS5U/Vampire---4.8_29030',cTHM553_pme) ).

thf(f49,plain,
    ( ( ( cS @ sK1 )
     != $true )
    | ~ spl2_1 ),
    inference(trivial_inequality_removal,[],[f48]) ).

thf(f48,plain,
    ( ( ( cS @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_1 ),
    inference(superposition,[],[f14,f35]) ).

thf(f35,plain,
    ( ! [X1: a] :
        ( ( ( cT @ X1 )
          = $true )
        | ( ( cS @ X1 )
         != $true ) )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f34]) ).

thf(f34,plain,
    ( spl2_1
  <=> ! [X1: a] :
        ( ( ( cT @ X1 )
          = $true )
        | ( ( cS @ X1 )
         != $true ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

thf(f14,plain,
    ( ( cT @ sK1 )
   != $true ),
    inference(cnf_transformation,[],[f11]) ).

thf(f47,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f46]) ).

thf(f46,plain,
    ( $false
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f45,f20]) ).

thf(f20,plain,
    ( ( cT @ sK0 )
    = $true ),
    inference(cnf_transformation,[],[f11]) ).

thf(f45,plain,
    ( ( ( cT @ sK0 )
     != $true )
    | ~ spl2_2 ),
    inference(trivial_inequality_removal,[],[f44]) ).

thf(f44,plain,
    ( ( $true != $true )
    | ( ( cT @ sK0 )
     != $true )
    | ~ spl2_2 ),
    inference(superposition,[],[f19,f38]) ).

thf(f38,plain,
    ( ! [X0: a] :
        ( ( ( cS @ X0 )
          = $true )
        | ( ( cT @ X0 )
         != $true ) )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f37]) ).

thf(f37,plain,
    ( spl2_2
  <=> ! [X0: a] :
        ( ( ( cT @ X0 )
         != $true )
        | ( ( cS @ X0 )
          = $true ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

thf(f19,plain,
    ( ( cS @ sK0 )
   != $true ),
    inference(cnf_transformation,[],[f11]) ).

thf(f39,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f32,f37,f34]) ).

thf(f32,plain,
    ! [X0: a,X1: a] :
      ( ( ( cT @ X1 )
        = $true )
      | ( ( cT @ X0 )
       != $true )
      | ( ( cS @ X0 )
        = $true )
      | ( ( cS @ X1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f30]) ).

thf(f30,plain,
    ! [X0: a,X1: a] :
      ( ( ( cS @ X1 )
       != $true )
      | ( ( cS @ X0 )
        = $true )
      | ( ( cT @ X1 )
        = $true )
      | ( $true != $true )
      | ( ( cT @ X0 )
       != $true ) ),
    inference(superposition,[],[f17,f26]) ).

thf(f26,plain,
    ! [X0: a,X1: a] :
      ( ( ( cR @ X1 @ X0 )
        = $true )
      | ( ( cT @ X1 )
       != $true )
      | ( ( cT @ X0 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f25]) ).

thf(f25,plain,
    ! [X0: a,X1: a] :
      ( ( ( cR @ X1 @ X0 )
        = $true )
      | ( ( cT @ X1 )
       != $true )
      | ( $true != $true )
      | ( ( cT @ X0 )
        = $true ) ),
    inference(superposition,[],[f15,f12]) ).

thf(f12,plain,
    ! [X12: a,X13: a] :
      ( ( ( cR @ X13 @ X12 )
        = $true )
      | ( ( cR @ X12 @ X13 )
        = $true ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f15,plain,
    ! [X10: a,X9: a] :
      ( ( ( cR @ X9 @ X10 )
       != $true )
      | ( ( cT @ X9 )
        = $true )
      | ( ( cT @ X10 )
       != $true ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f17,plain,
    ! [X6: a,X7: a] :
      ( ( ( cR @ X7 @ X6 )
       != $true )
      | ( ( cS @ X6 )
       != $true )
      | ( ( cS @ X7 )
        = $true ) ),
    inference(cnf_transformation,[],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SEV067^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 12:26:06 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_EQU_NAR problem
% 0.15/0.36  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/sandbox/tmp/tmp.CeVnEbFS5U/Vampire---4.8_29030
% 0.15/0.38  % (29282)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.38  % (29282)Instruction limit reached!
% 0.15/0.38  % (29282)------------------------------
% 0.15/0.38  % (29282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (29282)Termination reason: Unknown
% 0.15/0.38  % (29282)Termination phase: shuffling
% 0.15/0.38  
% 0.15/0.38  % (29282)Memory used [KB]: 895
% 0.15/0.38  % (29282)Time elapsed: 0.003 s
% 0.15/0.38  % (29282)Instructions burned: 2 (million)
% 0.15/0.38  % (29282)------------------------------
% 0.15/0.38  % (29282)------------------------------
% 0.15/0.38  % (29278)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.15/0.38  % (29279)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.15/0.38  % (29280)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.15/0.38  % (29281)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.38  % (29283)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.15/0.38  % (29284)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.38  % (29285)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.38  % (29281)Instruction limit reached!
% 0.15/0.38  % (29281)------------------------------
% 0.15/0.38  % (29281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (29281)Termination reason: Unknown
% 0.15/0.38  % (29281)Termination phase: Preprocessing 1
% 0.15/0.38  
% 0.15/0.38  % (29281)Memory used [KB]: 895
% 0.15/0.38  % (29281)Time elapsed: 0.003 s
% 0.15/0.38  % (29281)Instructions burned: 2 (million)
% 0.15/0.38  % (29281)------------------------------
% 0.15/0.38  % (29281)------------------------------
% 0.15/0.38  % (29279)Instruction limit reached!
% 0.15/0.38  % (29279)------------------------------
% 0.15/0.38  % (29279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (29279)Termination reason: Unknown
% 0.15/0.38  % (29279)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (29279)Memory used [KB]: 5500
% 0.15/0.38  % (29279)Time elapsed: 0.005 s
% 0.15/0.38  % (29279)Instructions burned: 4 (million)
% 0.15/0.38  % (29279)------------------------------
% 0.15/0.38  % (29279)------------------------------
% 0.15/0.39  % (29285)Instruction limit reached!
% 0.15/0.39  % (29285)------------------------------
% 0.15/0.39  % (29285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (29285)Termination reason: Unknown
% 0.15/0.39  % (29285)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (29285)Memory used [KB]: 5500
% 0.15/0.39  % (29285)Time elapsed: 0.005 s
% 0.15/0.39  % (29285)Instructions burned: 4 (million)
% 0.15/0.39  % (29285)------------------------------
% 0.15/0.39  % (29285)------------------------------
% 0.15/0.39  % (29278)First to succeed.
% 0.15/0.39  % (29283)Also succeeded, but the first one will report.
% 0.15/0.39  % (29280)Also succeeded, but the first one will report.
% 0.15/0.39  % (29278)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Theorem for Vampire---4
% 0.15/0.39  % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.39  % (29278)------------------------------
% 0.15/0.39  % (29278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (29278)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (29278)Memory used [KB]: 5500
% 0.15/0.39  % (29278)Time elapsed: 0.008 s
% 0.15/0.39  % (29278)Instructions burned: 6 (million)
% 0.15/0.39  % (29278)------------------------------
% 0.15/0.39  % (29278)------------------------------
% 0.15/0.39  % (29277)Success in time 0.008 s
% 0.15/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------