TSTP Solution File: ANA112^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA112^1 : TPTP v8.1.2. Released v7.0.0.
% 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 : n002.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 04:31:12 EDT 2024

% Result   : Theorem 0.12s 0.36s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   35 (  11 unt;  13 typ;   0 def)
%            Number of atoms       :  117 (  31 equ;   0 cnn)
%            Maximal formula atoms :    3 (   5 avg)
%            Number of connectives :  415 (  20   ~;   9   |;   3   &; 379   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   47 (  47   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :  118 (  47   ^  58   !;  10   ?; 118   :)
%                                         (   3  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_6,type,
    'type/realax/real': $tType ).

thf(type_def_7,type,
    'type/nums/num': $tType ).

thf(func_def_0,type,
    'type/realax/real': $tType ).

thf(func_def_1,type,
    'type/nums/num': $tType ).

thf(func_def_2,type,
    'const/sets/FINITE': 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_3,type,
    'const/iterate/sum': 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).

thf(func_def_4,type,
    'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o ).

thf(func_def_11,type,
    sK0: 'type/nums/num' ).

thf(func_def_12,type,
    sK1: 'type/nums/num' ).

thf(func_def_13,type,
    sK2: 'type/nums/num' ).

thf(func_def_14,type,
    sK3: 'type/nums/num' ).

thf(func_def_15,type,
    sK4: 'type/nums/num' > 'type/nums/num' > 'type/realax/real' ).

thf(func_def_17,type,
    ph6: 
      !>[X0: $tType] : X0 ).

thf(f23,plain,
    $false,
    inference(subsumption_resolution,[],[f22,f18]) ).

thf(f18,plain,
    ! [X0: 'type/nums/num',X1: 'type/nums/num'] :
      ( ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) )
      = $true ),
    inference(cnf_transformation,[],[f9]) ).

thf(f9,plain,
    ! [X0: 'type/nums/num',X1: 'type/nums/num'] :
      ( ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) )
      = $true ),
    inference(fool_elimination,[],[f8]) ).

thf(f8,plain,
    ! [X0: 'type/nums/num',X1: 'type/nums/num'] : ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ! [X0: 'type/nums/num',X2: 'type/nums/num'] : ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.5ZN9hJNOV4/Vampire---4.8_7779','thm/iterate/FINITE_NUMSEG_') ).

thf(f22,plain,
    ( $true
   != ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) ) ),
    inference(subsumption_resolution,[],[f21,f18]) ).

thf(f21,plain,
    ( ( $true
     != ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 ) ) )
    | ( $true
     != ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) ) ) ),
    inference(trivial_inequality_removal,[],[f20]) ).

thf(f20,plain,
    ( ( $true
     != ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) ) )
    | ( $true
     != ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 ) ) )
    | ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 )
        @ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 ) @ ( sK4 @ Y0 ) ) )
     != ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 )
        @ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 ) @ ( sK4 @ Y0 ) ) ) ) ),
    inference(superposition,[],[f19,f17]) ).

thf(f17,plain,
    ! [X1: $tType,X0: $tType,X2: X0 > X1 > 'type/realax/real',X3: X0 > $o,X4: X1 > $o] :
      ( ( ( 'const/iterate/sum' @ X0 @ X3
          @ ^ [Y0: X0] : ( 'const/iterate/sum' @ X1 @ X4 @ ( X2 @ Y0 ) ) )
        = ( 'const/iterate/sum' @ X1 @ X4
          @ ^ [Y0: X1] :
              ( 'const/iterate/sum' @ X0 @ X3
              @ ^ [Y1: X0] : ( X2 @ Y1 @ Y0 ) ) ) )
      | ( ( 'const/sets/FINITE' @ X0 @ X3 )
       != $true )
      | ( ( 'const/sets/FINITE' @ X1 @ X4 )
       != $true ) ),
    inference(cnf_transformation,[],[f13]) ).

thf(f13,plain,
    ! [X0: $tType,X1: $tType,X2: X0 > X1 > 'type/realax/real',X3: X0 > $o,X4: X1 > $o] :
      ( ( ( 'const/sets/FINITE' @ X1 @ X4 )
       != $true )
      | ( ( 'const/sets/FINITE' @ X0 @ X3 )
       != $true )
      | ( ( 'const/iterate/sum' @ X0 @ X3
          @ ^ [Y0: X0] : ( 'const/iterate/sum' @ X1 @ X4 @ ( X2 @ Y0 ) ) )
        = ( 'const/iterate/sum' @ X1 @ X4
          @ ^ [Y0: X1] :
              ( 'const/iterate/sum' @ X0 @ X3
              @ ^ [Y1: X0] : ( X2 @ Y1 @ Y0 ) ) ) ) ),
    inference(flattening,[],[f12]) ).

thf(f12,plain,
    ! [X0: $tType,X1: $tType,X2: X0 > X1 > 'type/realax/real',X3: X0 > $o,X4: X1 > $o] :
      ( ( ( 'const/iterate/sum' @ X0 @ X3
          @ ^ [Y0: X0] : ( 'const/iterate/sum' @ X1 @ X4 @ ( X2 @ Y0 ) ) )
        = ( 'const/iterate/sum' @ X1 @ X4
          @ ^ [Y0: X1] :
              ( 'const/iterate/sum' @ X0 @ X3
              @ ^ [Y1: X0] : ( X2 @ Y1 @ Y0 ) ) ) )
      | ( ( 'const/sets/FINITE' @ X0 @ X3 )
       != $true )
      | ( ( 'const/sets/FINITE' @ X1 @ X4 )
       != $true ) ),
    inference(ennf_transformation,[],[f7]) ).

thf(f7,plain,
    ! [X0: $tType,X1: $tType,X2: X0 > X1 > 'type/realax/real',X3: X0 > $o,X4: X1 > $o] :
      ( ( ( ( 'const/sets/FINITE' @ X0 @ X3 )
          = $true )
        & ( ( 'const/sets/FINITE' @ X1 @ X4 )
          = $true ) )
     => ( ( 'const/iterate/sum' @ X0 @ X3
          @ ^ [Y0: X0] : ( 'const/iterate/sum' @ X1 @ X4 @ ( X2 @ Y0 ) ) )
        = ( 'const/iterate/sum' @ X1 @ X4
          @ ^ [Y0: X1] :
              ( 'const/iterate/sum' @ X0 @ X3
              @ ^ [Y1: X0] : ( X2 @ Y1 @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f6,plain,
    ! [X0: $tType,X1: $tType,X2: X0 > X1 > 'type/realax/real',X3: X0 > $o,X4: X1 > $o] :
      ( ( ( 'const/sets/FINITE' @ X0 @ X3 )
        & ( 'const/sets/FINITE' @ X1 @ X4 ) )
     => ( ( 'const/iterate/sum' @ X0 @ X3
          @ ^ [X5: X0] : ( 'const/iterate/sum' @ X1 @ X4 @ ( X2 @ X5 ) ) )
        = ( 'const/iterate/sum' @ X1 @ X4
          @ ^ [X6: X1] :
              ( 'const/iterate/sum' @ X0 @ X3
              @ ^ [X7: X0] : ( X2 @ X7 @ X6 ) ) ) ) ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ! [X0: $tType,X1: $tType,X2: X0 > X1 > 'type/realax/real',X3: X0 > $o,X4: X1 > $o] :
      ( ( ( 'const/sets/FINITE' @ X0 @ X3 )
        & ( 'const/sets/FINITE' @ X1 @ X4 ) )
     => ( ( 'const/iterate/sum' @ X0 @ X3
          @ ^ [X5: X0] : ( 'const/iterate/sum' @ X1 @ X4 @ ( X2 @ X5 ) ) )
        = ( 'const/iterate/sum' @ X1 @ X4
          @ ^ [X5: X1] :
              ( 'const/iterate/sum' @ X0 @ X3
              @ ^ [X6: X0] : ( X2 @ X6 @ X5 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.5ZN9hJNOV4/Vampire---4.8_7779','thm/iterate/SUM_SWAP_') ).

thf(f19,plain,
    ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 )
      @ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 ) @ ( sK4 @ Y0 ) ) )
   != ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 )
      @ ^ [Y0: 'type/nums/num'] :
          ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 )
          @ ^ [Y1: 'type/nums/num'] : ( sK4 @ Y1 @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f16]) ).

thf(f16,plain,
    ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 )
      @ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 ) @ ( sK4 @ Y0 ) ) )
   != ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 )
      @ ^ [Y0: 'type/nums/num'] :
          ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 )
          @ ^ [Y1: 'type/nums/num'] : ( sK4 @ Y1 @ Y0 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f14,f15]) ).

thf(f15,plain,
    ( ? [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num',X3: 'type/nums/num',X4: 'type/nums/num' > 'type/nums/num' > 'type/realax/real'] :
        ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 )
          @ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 ) @ ( X4 @ Y0 ) ) )
       != ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
          @ ^ [Y0: 'type/nums/num'] :
              ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 )
              @ ^ [Y1: 'type/nums/num'] : ( X4 @ Y1 @ Y0 ) ) ) )
   => ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 )
        @ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 ) @ ( sK4 @ Y0 ) ) )
     != ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 )
        @ ^ [Y0: 'type/nums/num'] :
            ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 )
            @ ^ [Y1: 'type/nums/num'] : ( sK4 @ Y1 @ Y0 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f14,plain,
    ? [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num',X3: 'type/nums/num',X4: 'type/nums/num' > 'type/nums/num' > 'type/realax/real'] :
      ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 )
        @ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 ) @ ( X4 @ Y0 ) ) )
     != ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
        @ ^ [Y0: 'type/nums/num'] :
            ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 )
            @ ^ [Y1: 'type/nums/num'] : ( X4 @ Y1 @ Y0 ) ) ) ),
    inference(ennf_transformation,[],[f11]) ).

thf(f11,plain,
    ~ ! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num',X3: 'type/nums/num',X4: 'type/nums/num' > 'type/nums/num' > 'type/realax/real'] :
        ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 )
          @ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 ) @ ( X4 @ Y0 ) ) )
        = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
          @ ^ [Y0: 'type/nums/num'] :
              ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 )
              @ ^ [Y1: 'type/nums/num'] : ( X4 @ Y1 @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f10]) ).

thf(f10,plain,
    ~ ! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num',X3: 'type/nums/num',X4: 'type/nums/num' > 'type/nums/num' > 'type/realax/real'] :
        ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 )
          @ ^ [X5: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 ) @ ( X4 @ X5 ) ) )
        = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
          @ ^ [X6: 'type/nums/num'] :
              ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 )
              @ ^ [X7: 'type/nums/num'] : ( X4 @ X7 @ X6 ) ) ) ),
    inference(rectify,[],[f4]) ).

thf(f4,negated_conjecture,
    ~ ! [X0: 'type/nums/num',X2: 'type/nums/num',X3: 'type/nums/num',X4: 'type/nums/num',X5: 'type/nums/num' > 'type/nums/num' > 'type/realax/real'] :
        ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
          @ ^ [X6: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X3 @ X4 ) @ ( X5 @ X6 ) ) )
        = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X3 @ X4 )
          @ ^ [X6: 'type/nums/num'] :
              ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
              @ ^ [X7: 'type/nums/num'] : ( X5 @ X7 @ X6 ) ) ) ),
    inference(negated_conjecture,[],[f3]) ).

thf(f3,conjecture,
    ! [X0: 'type/nums/num',X2: 'type/nums/num',X3: 'type/nums/num',X4: 'type/nums/num',X5: 'type/nums/num' > 'type/nums/num' > 'type/realax/real'] :
      ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
        @ ^ [X6: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X3 @ X4 ) @ ( X5 @ X6 ) ) )
      = ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X3 @ X4 )
        @ ^ [X6: 'type/nums/num'] :
            ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
            @ ^ [X7: 'type/nums/num'] : ( X5 @ X7 @ X6 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.5ZN9hJNOV4/Vampire---4.8_7779','thm/iterate/SUM_SWAP_NUMSEG_') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem    : ANA112^1 : TPTP v8.1.2. Released v7.0.0.
% 0.05/0.13  % 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
% 0.12/0.34  % Computer : n002.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 15:29:08 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a TH1_THM_EQU_NAR problem
% 0.12/0.34  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.5ZN9hJNOV4/Vampire---4.8_7779
% 0.12/0.36  % (7891)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.12/0.36  % (7890)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)
% 0.12/0.36  % (7893)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)
% 0.12/0.36  % (7889)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)
% 0.12/0.36  % (7894)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.12/0.36  % (7895)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)
% 0.12/0.36  % (7892)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)
% 0.12/0.36  % (7891)Instruction limit reached!
% 0.12/0.36  % (7891)------------------------------
% 0.12/0.36  % (7891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (7891)Termination reason: Unknown
% 0.12/0.36  % (7891)Termination phase: Saturation
% 0.12/0.36  % (7892)Instruction limit reached!
% 0.12/0.36  % (7892)------------------------------
% 0.12/0.36  % (7892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (7892)Termination reason: Unknown
% 0.12/0.36  % (7892)Termination phase: Property scanning
% 0.12/0.36  
% 0.12/0.36  % (7892)Memory used [KB]: 895
% 0.12/0.36  % (7892)Time elapsed: 0.003 s
% 0.12/0.36  % (7892)Instructions burned: 3 (million)
% 0.12/0.36  % (7892)------------------------------
% 0.12/0.36  % (7892)------------------------------
% 0.12/0.36  
% 0.12/0.36  % (7891)Memory used [KB]: 895
% 0.12/0.36  % (7891)Time elapsed: 0.003 s
% 0.12/0.36  % (7891)Instructions burned: 2 (million)
% 0.12/0.36  % (7891)------------------------------
% 0.12/0.36  % (7891)------------------------------
% 0.12/0.36  % (7889)Instruction limit reached!
% 0.12/0.36  % (7889)------------------------------
% 0.12/0.36  % (7889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (7893)First to succeed.
% 0.12/0.36  % (7889)Termination reason: Unknown
% 0.12/0.36  % (7889)Termination phase: Saturation
% 0.12/0.36  
% 0.12/0.36  % (7888)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)
% 0.12/0.36  % (7889)Memory used [KB]: 5500
% 0.12/0.36  % (7889)Time elapsed: 0.003 s
% 0.12/0.36  % (7889)Instructions burned: 4 (million)
% 0.12/0.36  % (7889)------------------------------
% 0.12/0.36  % (7889)------------------------------
% 0.12/0.36  % (7895)Instruction limit reached!
% 0.12/0.36  % (7895)------------------------------
% 0.12/0.36  % (7895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (7895)Termination reason: Unknown
% 0.12/0.36  % (7895)Termination phase: Saturation
% 0.12/0.36  
% 0.12/0.36  % (7895)Memory used [KB]: 5500
% 0.12/0.36  % (7895)Time elapsed: 0.004 s
% 0.12/0.36  % (7895)Instructions burned: 4 (million)
% 0.12/0.36  % (7895)------------------------------
% 0.12/0.36  % (7895)------------------------------
% 0.12/0.36  % (7890)Also succeeded, but the first one will report.
% 0.12/0.36  % (7893)Refutation found. Thanks to Tanya!
% 0.12/0.36  % SZS status Theorem for Vampire---4
% 0.12/0.36  % SZS output start Proof for Vampire---4
% See solution above
% 0.12/0.36  % (7893)------------------------------
% 0.12/0.36  % (7893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (7893)Termination reason: Refutation
% 0.12/0.36  
% 0.12/0.36  % (7893)Memory used [KB]: 5500
% 0.12/0.36  % (7893)Time elapsed: 0.005 s
% 0.12/0.36  % (7893)Instructions burned: 2 (million)
% 0.12/0.36  % (7893)------------------------------
% 0.12/0.36  % (7893)------------------------------
% 0.12/0.36  % (7887)Success in time 0.016 s
% 0.12/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------