TSTP Solution File: ITP072^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP072^1 : TPTP v8.2.0. Released v7.5.0.
% 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 : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 22:33:22 EDT 2024

% Result   : Theorem 0.16s 0.44s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   82
% Syntax   : Number of formulae    :  143 (  23 unt;  70 typ;   0 def)
%            Number of atoms       :  271 ( 119 equ;   0 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  390 (  72   ~;  50   |;  11   &; 242   @)
%                                         (   6 <=>;   8  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :   98 (  98   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   66 (  63 usr;  14 con; 0-2 aty)
%            Number of variables   :   90 (  18   ^  65   !;   7   ?;  90   :)

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

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

thf(type_def_8,type,
    set_nat: $tType ).

thf(type_def_9,type,
    set_se933006839lle_hf: $tType ).

thf(type_def_10,type,
    hF_Mirabelle_hf: $tType ).

thf(func_def_0,type,
    set_se933006839lle_hf: $tType ).

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

thf(func_def_2,type,
    hF_Mirabelle_hf: $tType ).

thf(func_def_3,type,
    set_nat: $tType ).

thf(func_def_4,type,
    nat: $tType ).

thf(func_def_5,type,
    finite1213132899lle_hf: set_HF_Mirabelle_hf > nat ).

thf(func_def_6,type,
    finite_card_nat: set_nat > nat ).

thf(func_def_7,type,
    finite90088345lle_hf: set_se933006839lle_hf > nat ).

thf(func_def_8,type,
    finite586181922lle_hf: set_HF_Mirabelle_hf > $o ).

thf(func_def_9,type,
    finite_finite_nat: set_nat > $o ).

thf(func_def_10,type,
    finite1450550360lle_hf: set_se933006839lle_hf > $o ).

thf(func_def_11,type,
    inj_on755450110lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf > $o ).

thf(func_def_12,type,
    inj_on1874279374hf_nat: ( hF_Mirabelle_hf > nat ) > set_HF_Mirabelle_hf > $o ).

thf(func_def_13,type,
    inj_on1988990670lle_hf: ( nat > hF_Mirabelle_hf ) > set_nat > $o ).

thf(func_def_14,type,
    inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_15,type,
    inj_on811196232lle_hf: ( set_HF_Mirabelle_hf > hF_Mirabelle_hf ) > set_se933006839lle_hf > $o ).

thf(func_def_16,type,
    minus_minus_nat: nat > nat > nat ).

thf(func_def_17,type,
    minus_1450406810lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).

thf(func_def_18,type,
    minus_minus_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_19,type,
    minus_500612048lle_hf: set_se933006839lle_hf > set_se933006839lle_hf > set_se933006839lle_hf ).

thf(func_def_20,type,
    zero_z189798548lle_hf: hF_Mirabelle_hf ).

thf(func_def_21,type,
    zero_zero_nat: nat ).

thf(func_def_22,type,
    hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_23,type,
    hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf ).

thf(func_def_24,type,
    hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf ).

thf(func_def_25,type,
    hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_26,type,
    hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).

thf(func_def_27,type,
    lattic710307446hf_nat: ( hF_Mirabelle_hf > nat ) > set_HF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_28,type,
    lattic1974000059at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_29,type,
    semiring_1_Nats_nat: set_nat ).

thf(func_def_30,type,
    bot_bo1263054448e_hf_o: hF_Mirabelle_hf > $o ).

thf(func_def_31,type,
    bot_bot_nat_o: nat > $o ).

thf(func_def_32,type,
    bot_bo554042810e_hf_o: set_HF_Mirabelle_hf > $o ).

thf(func_def_34,type,
    bot_bot_nat: nat ).

thf(func_def_35,type,
    bot_bo53200981lle_hf: set_HF_Mirabelle_hf ).

thf(func_def_36,type,
    bot_bot_set_nat: set_nat ).

thf(func_def_37,type,
    bot_bo2093393035lle_hf: set_se933006839lle_hf ).

thf(func_def_38,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_39,type,
    ord_le432112161lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).

thf(func_def_40,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_41,type,
    ord_le2016357975lle_hf: set_se933006839lle_hf > set_se933006839lle_hf > $o ).

thf(func_def_42,type,
    semiri2115134414it_nat: nat > nat > nat ).

thf(func_def_43,type,
    semiri2013084963it_nat: nat > nat > nat ).

thf(func_def_44,type,
    collec2046588256lle_hf: ( hF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).

thf(func_def_45,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_46,type,
    collec1758573718lle_hf: ( set_HF_Mirabelle_hf > $o ) > set_se933006839lle_hf ).

thf(func_def_47,type,
    image_1743964010lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).

thf(func_def_48,type,
    image_131453538hf_nat: ( hF_Mirabelle_hf > nat ) > set_HF_Mirabelle_hf > set_nat ).

thf(func_def_49,type,
    image_246164834lle_hf: ( nat > hF_Mirabelle_hf ) > set_nat > set_HF_Mirabelle_hf ).

thf(func_def_50,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_51,type,
    image_899003828lle_hf: ( set_HF_Mirabelle_hf > hF_Mirabelle_hf ) > set_se933006839lle_hf > set_HF_Mirabelle_hf ).

thf(func_def_52,type,
    image_1514960916lle_hf: ( set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ) > set_se933006839lle_hf > set_se933006839lle_hf ).

thf(func_def_53,type,
    insert9649339lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).

thf(func_def_54,type,
    insert_nat: nat > set_nat > set_nat ).

thf(func_def_55,type,
    insert1636143089lle_hf: set_HF_Mirabelle_hf > set_se933006839lle_hf > set_se933006839lle_hf ).

thf(func_def_56,type,
    is_emp566801209lle_hf: set_HF_Mirabelle_hf > $o ).

thf(func_def_57,type,
    is_sin1448700567lle_hf: set_HF_Mirabelle_hf > $o ).

thf(func_def_58,type,
    the_el1104322134lle_hf: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_59,type,
    member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).

thf(func_def_60,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_61,type,
    member1490636632lle_hf: set_HF_Mirabelle_hf > set_se933006839lle_hf > $o ).

thf(func_def_62,type,
    z: hF_Mirabelle_hf ).

thf(func_def_77,type,
    sK0: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_78,type,
    sK1: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_79,type,
    sK2: hF_Mirabelle_hf ).

thf(f1056,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1033,f1041,f1046,f1049,f1055]) ).

thf(f1055,plain,
    ( ~ spl3_1
    | spl3_2 ),
    inference(avatar_contradiction_clause,[],[f1054]) ).

thf(f1054,plain,
    ( $false
    | ~ spl3_1
    | spl3_2 ),
    inference(subsumption_resolution,[],[f1053,f1031]) ).

thf(f1031,plain,
    ( ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
     != z )
    | spl3_2 ),
    inference(avatar_component_clause,[],[f1030]) ).

thf(f1030,plain,
    ( spl3_2
  <=> ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
      = z ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

thf(f1053,plain,
    ( ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
      = z )
    | ~ spl3_1 ),
    inference(trivial_inequality_removal,[],[f1051]) ).

thf(f1051,plain,
    ( ( $true != $true )
    | ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
      = z )
    | ~ spl3_1 ),
    inference(superposition,[],[f1028,f1050]) ).

thf(f1050,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( ( member1367349282lle_hf @ ( sK0 @ X0 ) @ ( hF_Mirabelle_hfset @ X0 ) )
        = $true )
      | ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
        = X0 ) ),
    inference(superposition,[],[f1020,f1024]) ).

thf(f1024,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( ( hF_Mirabelle_hinsert @ ( sK0 @ X0 ) @ ( sK1 @ X0 ) )
        = X0 )
      | ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
        = X0 ) ),
    inference(forward_demodulation,[],[f1000,f1007]) ).

thf(f1007,plain,
    ( ( hF_Mirabelle_Abs_hf @ zero_zero_nat )
    = ( hF_Mirabelle_HF @ bot_bo53200981lle_hf ) ),
    inference(definition_unfolding,[],[f993,f992]) ).

thf(f992,plain,
    ( zero_z189798548lle_hf
    = ( hF_Mirabelle_Abs_hf @ zero_zero_nat ) ),
    inference(cnf_transformation,[],[f9]) ).

thf(f9,axiom,
    ( zero_z189798548lle_hf
    = ( hF_Mirabelle_Abs_hf @ zero_zero_nat ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_Abs__hf__0) ).

thf(f993,plain,
    ( zero_z189798548lle_hf
    = ( hF_Mirabelle_HF @ bot_bo53200981lle_hf ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,axiom,
    ( zero_z189798548lle_hf
    = ( hF_Mirabelle_HF @ bot_bo53200981lle_hf ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_Zero__hf__def) ).

thf(f1000,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( ( hF_Mirabelle_hinsert @ ( sK0 @ X0 ) @ ( sK1 @ X0 ) )
        = X0 )
      | ( ( hF_Mirabelle_Abs_hf @ zero_zero_nat )
        = X0 ) ),
    inference(definition_unfolding,[],[f984,f992]) ).

thf(f984,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( ( hF_Mirabelle_hinsert @ ( sK0 @ X0 ) @ ( sK1 @ X0 ) )
        = X0 )
      | ( zero_z189798548lle_hf = X0 ) ),
    inference(cnf_transformation,[],[f975]) ).

thf(f975,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( ( ( hF_Mirabelle_hmem @ ( sK0 @ X0 ) @ ( sK1 @ X0 ) )
         != $true )
        & ( ( hF_Mirabelle_hinsert @ ( sK0 @ X0 ) @ ( sK1 @ X0 ) )
          = X0 ) )
      | ( zero_z189798548lle_hf = X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f972,f974]) ).

thf(f974,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ? [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
          ( ( ( hF_Mirabelle_hmem @ X1 @ X2 )
           != $true )
          & ( ( hF_Mirabelle_hinsert @ X1 @ X2 )
            = X0 ) )
     => ( ( ( hF_Mirabelle_hmem @ ( sK0 @ X0 ) @ ( sK1 @ X0 ) )
         != $true )
        & ( ( hF_Mirabelle_hinsert @ ( sK0 @ X0 ) @ ( sK1 @ X0 ) )
          = X0 ) ) ),
    introduced(choice_axiom,[]) ).

thf(f972,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ? [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
          ( ( ( hF_Mirabelle_hmem @ X1 @ X2 )
           != $true )
          & ( ( hF_Mirabelle_hinsert @ X1 @ X2 )
            = X0 ) )
      | ( zero_z189798548lle_hf = X0 ) ),
    inference(ennf_transformation,[],[f844]) ).

thf(f844,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( zero_z189798548lle_hf != X0 )
     => ~ ! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
            ( ( ( hF_Mirabelle_hinsert @ X1 @ X2 )
              = X0 )
           => ( ( hF_Mirabelle_hmem @ X1 @ X2 )
              = $true ) ) ),
    inference(fool_elimination,[],[f843]) ).

thf(f843,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( zero_z189798548lle_hf != X0 )
     => ~ ! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
            ( ( ( hF_Mirabelle_hinsert @ X1 @ X2 )
              = X0 )
           => ( hF_Mirabelle_hmem @ X1 @ X2 ) ) ),
    inference(rectify,[],[f4]) ).

thf(f4,axiom,
    ! [X6: hF_Mirabelle_hf] :
      ( ( zero_z189798548lle_hf != X6 )
     => ~ ! [X7: hF_Mirabelle_hf,X8: hF_Mirabelle_hf] :
            ( ( ( hF_Mirabelle_hinsert @ X7 @ X8 )
              = X6 )
           => ( hF_Mirabelle_hmem @ X7 @ X8 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_hf__cases) ).

thf(f1020,plain,
    ! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
      ( ( member1367349282lle_hf @ X1 @ ( hF_Mirabelle_hfset @ ( hF_Mirabelle_hinsert @ X1 @ X2 ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f1011]) ).

thf(f1011,plain,
    ! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
      ( ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) )
        @ X1
        @ ( hF_Mirabelle_hinsert @ X1 @ X2 ) )
      = $true ),
    inference(equality_resolution,[],[f1001]) ).

thf(f1001,plain,
    ! [X2: hF_Mirabelle_hf,X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
      ( ( ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) )
          @ X0
          @ ( hF_Mirabelle_hinsert @ X1 @ X2 ) )
        = $true )
      | ( X0 != X1 ) ),
    inference(definition_unfolding,[],[f988,f994]) ).

thf(f994,plain,
    ( hF_Mirabelle_hmem
    = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f524]) ).

thf(f524,plain,
    ( hF_Mirabelle_hmem
    = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f523]) ).

thf(f523,plain,
    ( hF_Mirabelle_hmem
    = ( ^ [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ X0 @ ( hF_Mirabelle_hfset @ X1 ) ) ) ),
    inference(rectify,[],[f6]) ).

thf(f6,axiom,
    ( hF_Mirabelle_hmem
    = ( ^ [X2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf] : ( member1367349282lle_hf @ X2 @ ( hF_Mirabelle_hfset @ X3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_hmem__def) ).

thf(f988,plain,
    ! [X2: hF_Mirabelle_hf,X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
      ( ( ( hF_Mirabelle_hmem @ X0 @ ( hF_Mirabelle_hinsert @ X1 @ X2 ) )
        = $true )
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f977]) ).

thf(f977,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
      ( ( ( ( hF_Mirabelle_hmem @ X0 @ ( hF_Mirabelle_hinsert @ X1 @ X2 ) )
          = $true )
        | ( ( X0 != X1 )
          & ( $true
           != ( hF_Mirabelle_hmem @ X0 @ X2 ) ) ) )
      & ( ( X0 = X1 )
        | ( $true
          = ( hF_Mirabelle_hmem @ X0 @ X2 ) )
        | ( ( hF_Mirabelle_hmem @ X0 @ ( hF_Mirabelle_hinsert @ X1 @ X2 ) )
         != $true ) ) ),
    inference(flattening,[],[f976]) ).

thf(f976,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
      ( ( ( ( hF_Mirabelle_hmem @ X0 @ ( hF_Mirabelle_hinsert @ X1 @ X2 ) )
          = $true )
        | ( ( X0 != X1 )
          & ( $true
           != ( hF_Mirabelle_hmem @ X0 @ X2 ) ) ) )
      & ( ( X0 = X1 )
        | ( $true
          = ( hF_Mirabelle_hmem @ X0 @ X2 ) )
        | ( ( hF_Mirabelle_hmem @ X0 @ ( hF_Mirabelle_hinsert @ X1 @ X2 ) )
         != $true ) ) ),
    inference(nnf_transformation,[],[f920]) ).

thf(f920,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
      ( ( ( hF_Mirabelle_hmem @ X0 @ ( hF_Mirabelle_hinsert @ X1 @ X2 ) )
        = $true )
    <=> ( ( X0 = X1 )
        | ( $true
          = ( hF_Mirabelle_hmem @ X0 @ X2 ) ) ) ),
    inference(fool_elimination,[],[f919]) ).

thf(f919,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
      ( ( ( hF_Mirabelle_hmem @ X0 @ ( hF_Mirabelle_hinsert @ X1 @ X2 ) )
        = ( hF_Mirabelle_hmem @ X0 @ X2 ) )
      | ( X0 = X1 ) ),
    inference(rectify,[],[f5]) ).

thf(f5,axiom,
    ! [X5: hF_Mirabelle_hf,X9: hF_Mirabelle_hf,X10: hF_Mirabelle_hf] :
      ( ( ( hF_Mirabelle_hmem @ X5 @ ( hF_Mirabelle_hinsert @ X9 @ X10 ) )
        = ( hF_Mirabelle_hmem @ X5 @ X10 ) )
      | ( X5 = X9 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_hmem__hinsert) ).

thf(f1028,plain,
    ( ! [X1: hF_Mirabelle_hf] :
        ( ( member1367349282lle_hf @ X1 @ ( hF_Mirabelle_hfset @ z ) )
       != $true )
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f1027]) ).

thf(f1027,plain,
    ( spl3_1
  <=> ! [X1: hF_Mirabelle_hf] :
        ( ( member1367349282lle_hf @ X1 @ ( hF_Mirabelle_hfset @ z ) )
       != $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

thf(f1049,plain,
    ( ~ spl3_1
    | ~ spl3_3 ),
    inference(avatar_contradiction_clause,[],[f1048]) ).

thf(f1048,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_3 ),
    inference(trivial_inequality_removal,[],[f1047]) ).

thf(f1047,plain,
    ( ( $true != $true )
    | ~ spl3_1
    | ~ spl3_3 ),
    inference(superposition,[],[f1028,f1040]) ).

thf(f1040,plain,
    ( ( ( member1367349282lle_hf @ sK2 @ ( hF_Mirabelle_hfset @ z ) )
      = $true )
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f1038]) ).

thf(f1038,plain,
    ( spl3_3
  <=> ( ( member1367349282lle_hf @ sK2 @ ( hF_Mirabelle_hfset @ z ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

thf(f1046,plain,
    ( spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f1044,f1030,f1027]) ).

thf(f1044,plain,
    ( ! [X0: hF_Mirabelle_hf] :
        ( ( member1367349282lle_hf @ X0 @ ( hF_Mirabelle_hfset @ z ) )
       != $true )
    | ~ spl3_2 ),
    inference(backward_demodulation,[],[f1023,f1032]) ).

thf(f1032,plain,
    ( ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
      = z )
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f1030]) ).

thf(f1023,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( member1367349282lle_hf @ X0 @ ( hF_Mirabelle_hfset @ ( hF_Mirabelle_HF @ bot_bo53200981lle_hf ) ) )
     != $true ),
    inference(forward_demodulation,[],[f1021,f1007]) ).

thf(f1021,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( member1367349282lle_hf @ X0 @ ( hF_Mirabelle_hfset @ ( hF_Mirabelle_Abs_hf @ zero_zero_nat ) ) )
     != $true ),
    inference(beta_eta_normalization,[],[f1008]) ).

thf(f1008,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) )
        @ X0
        @ ( hF_Mirabelle_Abs_hf @ zero_zero_nat ) )
     != $true ),
    inference(definition_unfolding,[],[f995,f994,f992]) ).

thf(f995,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf )
     != $true ),
    inference(cnf_transformation,[],[f970]) ).

thf(f970,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf )
     != $true ),
    inference(flattening,[],[f882]) ).

thf(f882,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf )
     != $true ),
    inference(fool_elimination,[],[f881]) ).

thf(f881,plain,
    ! [X0: hF_Mirabelle_hf] :
      ~ ( hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ! [X5: hF_Mirabelle_hf] :
      ~ ( hF_Mirabelle_hmem @ X5 @ zero_z189798548lle_hf ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_hmem__hempty) ).

thf(f1041,plain,
    ( spl3_3
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f1036,f1030,f1038]) ).

thf(f1036,plain,
    ( ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
     != z )
    | ( ( member1367349282lle_hf @ sK2 @ ( hF_Mirabelle_hfset @ z ) )
      = $true ) ),
    inference(forward_demodulation,[],[f1014,f1007]) ).

thf(f1014,plain,
    ( ( ( hF_Mirabelle_Abs_hf @ zero_zero_nat )
     != z )
    | ( ( member1367349282lle_hf @ sK2 @ ( hF_Mirabelle_hfset @ z ) )
      = $true ) ),
    inference(beta_eta_normalization,[],[f1009]) ).

thf(f1009,plain,
    ( ( ( hF_Mirabelle_Abs_hf @ zero_zero_nat )
     != z )
    | ( ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) )
        @ sK2
        @ z )
      = $true ) ),
    inference(definition_unfolding,[],[f997,f994,f992]) ).

thf(f997,plain,
    ( ( ( hF_Mirabelle_hmem @ sK2 @ z )
      = $true )
    | ( zero_z189798548lle_hf != z ) ),
    inference(cnf_transformation,[],[f982]) ).

thf(f982,plain,
    ( ( ( ( hF_Mirabelle_hmem @ sK2 @ z )
        = $true )
      | ( zero_z189798548lle_hf != z ) )
    & ( ! [X1: hF_Mirabelle_hf] :
          ( ( hF_Mirabelle_hmem @ X1 @ z )
         != $true )
      | ( zero_z189798548lle_hf = z ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f980,f981]) ).

thf(f981,plain,
    ( ? [X0: hF_Mirabelle_hf] :
        ( ( hF_Mirabelle_hmem @ X0 @ z )
        = $true )
   => ( ( hF_Mirabelle_hmem @ sK2 @ z )
      = $true ) ),
    introduced(choice_axiom,[]) ).

thf(f980,plain,
    ( ( ? [X0: hF_Mirabelle_hf] :
          ( ( hF_Mirabelle_hmem @ X0 @ z )
          = $true )
      | ( zero_z189798548lle_hf != z ) )
    & ( ! [X1: hF_Mirabelle_hf] :
          ( ( hF_Mirabelle_hmem @ X1 @ z )
         != $true )
      | ( zero_z189798548lle_hf = z ) ) ),
    inference(rectify,[],[f979]) ).

thf(f979,plain,
    ( ( ? [X0: hF_Mirabelle_hf] :
          ( ( hF_Mirabelle_hmem @ X0 @ z )
          = $true )
      | ( zero_z189798548lle_hf != z ) )
    & ( ! [X0: hF_Mirabelle_hf] :
          ( ( hF_Mirabelle_hmem @ X0 @ z )
         != $true )
      | ( zero_z189798548lle_hf = z ) ) ),
    inference(nnf_transformation,[],[f973]) ).

thf(f973,plain,
    ( ( zero_z189798548lle_hf = z )
  <~> ! [X0: hF_Mirabelle_hf] :
        ( ( hF_Mirabelle_hmem @ X0 @ z )
       != $true ) ),
    inference(ennf_transformation,[],[f969]) ).

thf(f969,plain,
    ~ ( ( zero_z189798548lle_hf = z )
    <=> ! [X0: hF_Mirabelle_hf] :
          ( ( hF_Mirabelle_hmem @ X0 @ z )
         != $true ) ),
    inference(flattening,[],[f940]) ).

thf(f940,plain,
    ~ ( ! [X0: hF_Mirabelle_hf] :
          ( ( hF_Mirabelle_hmem @ X0 @ z )
         != $true )
    <=> ( zero_z189798548lle_hf = z ) ),
    inference(fool_elimination,[],[f939]) ).

thf(f939,plain,
    ~ ! [X0: hF_Mirabelle_hf] :
        ( ( ~ ( hF_Mirabelle_hmem @ X0 @ z ) )
        = ( zero_z189798548lle_hf = z ) ),
    inference(rectify,[],[f353]) ).

thf(f353,negated_conjecture,
    ~ ! [X4: hF_Mirabelle_hf] :
        ( ( ~ ( hF_Mirabelle_hmem @ X4 @ z ) )
        = ( zero_z189798548lle_hf = z ) ),
    inference(negated_conjecture,[],[f352]) ).

thf(f352,conjecture,
    ! [X4: hF_Mirabelle_hf] :
      ( ( ~ ( hF_Mirabelle_hmem @ X4 @ z ) )
      = ( zero_z189798548lle_hf = z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f1033,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f1025,f1030,f1027]) ).

thf(f1025,plain,
    ! [X1: hF_Mirabelle_hf] :
      ( ( ( member1367349282lle_hf @ X1 @ ( hF_Mirabelle_hfset @ z ) )
       != $true )
      | ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
        = z ) ),
    inference(forward_demodulation,[],[f1019,f1007]) ).

thf(f1019,plain,
    ! [X1: hF_Mirabelle_hf] :
      ( ( ( hF_Mirabelle_Abs_hf @ zero_zero_nat )
        = z )
      | ( ( member1367349282lle_hf @ X1 @ ( hF_Mirabelle_hfset @ z ) )
       != $true ) ),
    inference(beta_eta_normalization,[],[f1010]) ).

thf(f1010,plain,
    ! [X1: hF_Mirabelle_hf] :
      ( ( ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) )
          @ X1
          @ z )
       != $true )
      | ( ( hF_Mirabelle_Abs_hf @ zero_zero_nat )
        = z ) ),
    inference(definition_unfolding,[],[f996,f994,f992]) ).

thf(f996,plain,
    ! [X1: hF_Mirabelle_hf] :
      ( ( ( hF_Mirabelle_hmem @ X1 @ z )
       != $true )
      | ( zero_z189798548lle_hf = z ) ),
    inference(cnf_transformation,[],[f982]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : ITP072^1 : TPTP v8.2.0. Released v7.5.0.
% 0.03/0.12  % 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
% 0.11/0.32  % Computer : n012.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sat May 18 18:19:53 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a TH0_THM_EQU_NAR problem
% 0.11/0.32  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
% 0.16/0.36  % (30086)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)
% 0.16/0.36  % (30087)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.36  % (30083)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)
% 0.16/0.36  % (30085)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)
% 0.16/0.36  % (30082)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)
% 0.16/0.36  % (30084)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.36  % (30085)Instruction limit reached!
% 0.16/0.36  % (30085)------------------------------
% 0.16/0.36  % (30085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.36  % (30085)Termination reason: Unknown
% 0.16/0.36  % (30085)Termination phase: shuffling
% 0.16/0.36  
% 0.16/0.36  % (30085)Memory used [KB]: 1407
% 0.16/0.36  % (30085)Time elapsed: 0.003 s
% 0.16/0.36  % (30085)Instructions burned: 2 (million)
% 0.16/0.36  % (30085)------------------------------
% 0.16/0.36  % (30085)------------------------------
% 0.16/0.36  % (30088)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)
% 0.16/0.36  % (30084)Instruction limit reached!
% 0.16/0.36  % (30084)------------------------------
% 0.16/0.36  % (30084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.36  % (30081)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.36  % (30084)Termination reason: Unknown
% 0.16/0.36  % (30084)Termination phase: shuffling
% 0.16/0.36  
% 0.16/0.36  % (30084)Memory used [KB]: 1407
% 0.16/0.36  % (30084)Time elapsed: 0.003 s
% 0.16/0.36  % (30084)Instructions burned: 2 (million)
% 0.16/0.36  % (30084)------------------------------
% 0.16/0.36  % (30084)------------------------------
% 0.16/0.36  % (30082)Instruction limit reached!
% 0.16/0.36  % (30082)------------------------------
% 0.16/0.36  % (30082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.36  % (30082)Termination reason: Unknown
% 0.16/0.36  % (30082)Termination phase: shuffling
% 0.16/0.36  
% 0.16/0.36  % (30082)Memory used [KB]: 1407
% 0.16/0.36  % (30082)Time elapsed: 0.004 s
% 0.16/0.36  % (30082)Instructions burned: 5 (million)
% 0.16/0.36  % (30082)------------------------------
% 0.16/0.36  % (30082)------------------------------
% 0.16/0.36  % (30088)Instruction limit reached!
% 0.16/0.36  % (30088)------------------------------
% 0.16/0.36  % (30088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.36  % (30088)Termination reason: Unknown
% 0.16/0.36  % (30088)Termination phase: shuffling
% 0.16/0.36  
% 0.16/0.36  % (30088)Memory used [KB]: 1407
% 0.16/0.36  % (30088)Time elapsed: 0.003 s
% 0.16/0.36  % (30088)Instructions burned: 3 (million)
% 0.16/0.36  % (30088)------------------------------
% 0.16/0.36  % (30088)------------------------------
% 0.16/0.37  % (30087)Instruction limit reached!
% 0.16/0.37  % (30087)------------------------------
% 0.16/0.37  % (30087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37  % (30087)Termination reason: Unknown
% 0.16/0.37  % (30087)Termination phase: shuffling
% 0.16/0.37  
% 0.16/0.37  % (30087)Memory used [KB]: 1918
% 0.16/0.37  % (30087)Time elapsed: 0.012 s
% 0.16/0.37  % (30087)Instructions burned: 20 (million)
% 0.16/0.37  % (30087)------------------------------
% 0.16/0.37  % (30087)------------------------------
% 0.16/0.37  % (30083)Instruction limit reached!
% 0.16/0.37  % (30083)------------------------------
% 0.16/0.37  % (30083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37  % (30083)Termination reason: Unknown
% 0.16/0.37  % (30083)Termination phase: Property scanning
% 0.16/0.37  
% 0.16/0.37  % (30083)Memory used [KB]: 1918
% 0.16/0.37  % (30083)Time elapsed: 0.016 s
% 0.16/0.37  % (30083)Instructions burned: 27 (million)
% 0.16/0.37  % (30083)------------------------------
% 0.16/0.37  % (30083)------------------------------
% 0.16/0.37  % (30090)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)
% 0.16/0.37  % (30091)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)
% 0.16/0.38  % (30091)Instruction limit reached!
% 0.16/0.38  % (30091)------------------------------
% 0.16/0.38  % (30091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (30091)Termination reason: Unknown
% 0.16/0.38  % (30091)Termination phase: shuffling
% 0.16/0.38  
% 0.16/0.38  % (30091)Memory used [KB]: 1407
% 0.16/0.38  % (30091)Time elapsed: 0.003 s
% 0.16/0.38  % (30091)Instructions burned: 3 (million)
% 0.16/0.38  % (30091)------------------------------
% 0.16/0.38  % (30091)------------------------------
% 0.16/0.38  % (30089)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)
% 0.16/0.38  % (30086)Refutation not found, incomplete strategy
% 0.16/0.38  % (30086)------------------------------
% 0.16/0.38  % (30086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (30086)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.38  
% 0.16/0.38  
% 0.16/0.38  % (30086)Memory used [KB]: 6396
% 0.16/0.38  % (30086)Time elapsed: 0.021 s
% 0.16/0.38  % (30086)Instructions burned: 38 (million)
% 0.16/0.38  % (30086)------------------------------
% 0.16/0.38  % (30086)------------------------------
% 0.16/0.38  % (30090)Instruction limit reached!
% 0.16/0.38  % (30090)------------------------------
% 0.16/0.38  % (30090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (30090)Termination reason: Unknown
% 0.16/0.38  % (30090)Termination phase: shuffling
% 0.16/0.38  
% 0.16/0.38  % (30090)Memory used [KB]: 1663
% 0.16/0.38  % (30090)Time elapsed: 0.009 s
% 0.16/0.38  % (30090)Instructions burned: 15 (million)
% 0.16/0.38  % (30090)------------------------------
% 0.16/0.38  % (30090)------------------------------
% 0.16/0.38  % (30093)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.39  % (30093)Instruction limit reached!
% 0.16/0.39  % (30093)------------------------------
% 0.16/0.39  % (30093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (30093)Termination reason: Unknown
% 0.16/0.39  % (30093)Termination phase: shuffling
% 0.16/0.39  
% 0.16/0.39  % (30093)Memory used [KB]: 1535
% 0.16/0.39  % (30093)Time elapsed: 0.005 s
% 0.16/0.39  % (30093)Instructions burned: 7 (million)
% 0.16/0.39  % (30093)------------------------------
% 0.16/0.39  % (30093)------------------------------
% 0.16/0.39  % (30094)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.39  % (30095)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)
% 0.16/0.39  % (30096)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)
% 0.16/0.39  % (30095)Instruction limit reached!
% 0.16/0.39  % (30095)------------------------------
% 0.16/0.39  % (30095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (30095)Termination reason: Unknown
% 0.16/0.39  % (30095)Termination phase: shuffling
% 0.16/0.39  
% 0.16/0.39  % (30095)Memory used [KB]: 1407
% 0.16/0.39  % (30095)Time elapsed: 0.004 s
% 0.16/0.39  % (30095)Instructions burned: 4 (million)
% 0.16/0.39  % (30095)------------------------------
% 0.16/0.39  % (30095)------------------------------
% 0.16/0.39  % (30096)Instruction limit reached!
% 0.16/0.39  % (30096)------------------------------
% 0.16/0.39  % (30096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (30096)Termination reason: Unknown
% 0.16/0.39  % (30096)Termination phase: shuffling
% 0.16/0.39  
% 0.16/0.39  % (30096)Memory used [KB]: 1407
% 0.16/0.39  % (30096)Time elapsed: 0.004 s
% 0.16/0.39  % (30096)Instructions burned: 3 (million)
% 0.16/0.39  % (30096)------------------------------
% 0.16/0.39  % (30096)------------------------------
% 0.16/0.39  % (30097)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)
% 0.16/0.39  % (30094)Instruction limit reached!
% 0.16/0.39  % (30094)------------------------------
% 0.16/0.39  % (30094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (30094)Termination reason: Unknown
% 0.16/0.39  % (30094)Termination phase: shuffling
% 0.16/0.39  
% 0.16/0.39  % (30094)Memory used [KB]: 1791
% 0.16/0.39  % (30094)Time elapsed: 0.010 s
% 0.16/0.39  % (30094)Instructions burned: 16 (million)
% 0.16/0.39  % (30094)------------------------------
% 0.16/0.39  % (30094)------------------------------
% 0.16/0.40  % (30092)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)
% 0.16/0.40  % (30089)Instruction limit reached!
% 0.16/0.40  % (30089)------------------------------
% 0.16/0.40  % (30089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (30089)Termination reason: Unknown
% 0.16/0.40  % (30089)Termination phase: shuffling
% 0.16/0.40  
% 0.16/0.40  % (30089)Memory used [KB]: 2174
% 0.16/0.40  % (30089)Time elapsed: 0.022 s
% 0.16/0.40  % (30089)Instructions burned: 37 (million)
% 0.16/0.40  % (30089)------------------------------
% 0.16/0.40  % (30089)------------------------------
% 0.16/0.40  % (30098)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)
% 0.16/0.40  % (30097)Instruction limit reached!
% 0.16/0.40  % (30097)------------------------------
% 0.16/0.40  % (30097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (30097)Termination reason: Unknown
% 0.16/0.40  % (30097)Termination phase: shuffling
% 0.16/0.40  
% 0.16/0.40  % (30097)Memory used [KB]: 1535
% 0.16/0.40  % (30097)Time elapsed: 0.006 s
% 0.16/0.40  % (30097)Instructions burned: 7 (million)
% 0.16/0.40  % (30097)------------------------------
% 0.16/0.40  % (30097)------------------------------
% 0.16/0.40  % (30098)Instruction limit reached!
% 0.16/0.40  % (30098)------------------------------
% 0.16/0.40  % (30098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (30098)Termination reason: Unknown
% 0.16/0.40  % (30098)Termination phase: shuffling
% 0.16/0.40  
% 0.16/0.40  % (30098)Memory used [KB]: 1407
% 0.16/0.40  % (30098)Time elapsed: 0.003 s
% 0.16/0.40  % (30098)Instructions burned: 3 (million)
% 0.16/0.40  % (30098)------------------------------
% 0.16/0.40  % (30098)------------------------------
% 0.16/0.41  % (30100)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.41  % (30101)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.16/0.41  % (30102)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.41  % (30099)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.16/0.41  % (30104)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.16/0.41  % (30102)Instruction limit reached!
% 0.16/0.41  % (30102)------------------------------
% 0.16/0.41  % (30102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41  % (30102)Termination reason: Unknown
% 0.16/0.41  % (30102)Termination phase: shuffling
% 0.16/0.41  
% 0.16/0.41  % (30102)Memory used [KB]: 1535
% 0.16/0.41  % (30099)Instruction limit reached!
% 0.16/0.41  % (30099)------------------------------
% 0.16/0.41  % (30099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41  % (30099)Termination reason: Unknown
% 0.16/0.41  % (30099)Termination phase: shuffling
% 0.16/0.41  
% 0.16/0.41  % (30099)Memory used [KB]: 1535
% 0.16/0.41  % (30099)Time elapsed: 0.004 s
% 0.16/0.41  % (30099)Instructions burned: 5 (million)
% 0.16/0.41  % (30099)------------------------------
% 0.16/0.41  % (30099)------------------------------
% 0.16/0.41  % (30102)Time elapsed: 0.006 s
% 0.16/0.41  % (30102)Instructions burned: 6 (million)
% 0.16/0.41  % (30102)------------------------------
% 0.16/0.41  % (30102)------------------------------
% 0.16/0.41  % (30100)Instruction limit reached!
% 0.16/0.41  % (30100)------------------------------
% 0.16/0.41  % (30100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41  % (30103)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.16/0.41  % (30100)Termination reason: Unknown
% 0.16/0.41  % (30100)Termination phase: shuffling
% 0.16/0.41  
% 0.16/0.41  % (30100)Memory used [KB]: 1791
% 0.16/0.41  % (30100)Time elapsed: 0.011 s
% 0.16/0.41  % (30100)Instructions burned: 18 (million)
% 0.16/0.41  % (30100)------------------------------
% 0.16/0.41  % (30100)------------------------------
% 0.16/0.42  % (30104)Instruction limit reached!
% 0.16/0.42  % (30104)------------------------------
% 0.16/0.42  % (30104)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42  % (30104)Termination reason: Unknown
% 0.16/0.42  % (30104)Termination phase: shuffling
% 0.16/0.42  
% 0.16/0.42  % (30104)Memory used [KB]: 1918
% 0.16/0.42  % (30104)Time elapsed: 0.012 s
% 0.16/0.42  % (30104)Instructions burned: 21 (million)
% 0.16/0.42  % (30104)------------------------------
% 0.16/0.42  % (30104)------------------------------
% 0.16/0.43  % (30107)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.16/0.43  % (30105)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.16/0.43  % (30105)Instruction limit reached!
% 0.16/0.43  % (30105)------------------------------
% 0.16/0.43  % (30105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43  % (30105)Termination reason: Unknown
% 0.16/0.43  % (30105)Termination phase: shuffling
% 0.16/0.43  
% 0.16/0.43  % (30105)Memory used [KB]: 1535
% 0.16/0.43  % (30105)Time elapsed: 0.005 s
% 0.16/0.43  % (30105)Instructions burned: 6 (million)
% 0.16/0.43  % (30105)------------------------------
% 0.16/0.43  % (30105)------------------------------
% 0.16/0.43  % (30101)First to succeed.
% 0.16/0.44  % (30106)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.44  % (30101)Refutation found. Thanks to Tanya!
% 0.16/0.44  % SZS status Theorem for theBenchmark
% 0.16/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.44  % (30101)------------------------------
% 0.16/0.44  % (30101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44  % (30101)Termination reason: Refutation
% 0.16/0.44  
% 0.16/0.44  % (30101)Memory used [KB]: 6524
% 0.16/0.44  % (30101)Time elapsed: 0.029 s
% 0.16/0.44  % (30101)Instructions burned: 45 (million)
% 0.16/0.44  % (30101)------------------------------
% 0.16/0.44  % (30101)------------------------------
% 0.16/0.44  % (30080)Success in time 0.102 s
% 0.16/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------