TSTP Solution File: ITP072^1 by Vampire---4.9

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%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : ITP072^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n028.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 Jun 24 09:35:36 EDT 2024

% Result   : Theorem 0.22s 0.49s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   66 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :  255 ( 109 equ;   0 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  363 (  69   ~;  47   |;  11   &; 221   @)
%                                         (   6 <=>;   8  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   66 (  63 usr;  14 con; 0-2 aty)
%            Number of variables   :   87 (  18   ^  62   !;   7   ?;  87   :)

% 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 ).

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

thf(func_def_79,type,
    sK2: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(f1050,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1030,f1035,f1040,f1043,f1049]) ).

thf(f1049,plain,
    ( ~ spl3_1
    | spl3_2 ),
    inference(avatar_contradiction_clause,[],[f1048]) ).

thf(f1048,plain,
    ( $false
    | ~ spl3_1
    | spl3_2 ),
    inference(subsumption_resolution,[],[f1047,f1028]) ).

thf(f1028,plain,
    ( ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
     != z )
    | spl3_2 ),
    inference(avatar_component_clause,[],[f1027]) ).

thf(f1027,plain,
    ( spl3_2
  <=> ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
      = z ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

thf(f1047,plain,
    ( ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
      = z )
    | ~ spl3_1 ),
    inference(trivial_inequality_removal,[],[f1045]) ).

thf(f1045,plain,
    ( ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
      = z )
    | ( $true != $true )
    | ~ spl3_1 ),
    inference(superposition,[],[f1025,f1044]) ).

thf(f1044,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( $true
        = ( member1367349282lle_hf @ ( sK2 @ X0 ) @ ( hF_Mirabelle_hfset @ X0 ) ) )
      | ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
        = X0 ) ),
    inference(superposition,[],[f1018,f1010]) ).

thf(f1010,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( ( hF_Mirabelle_hinsert @ ( sK2 @ X0 ) @ ( sK1 @ X0 ) )
        = X0 )
      | ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
        = X0 ) ),
    inference(definition_unfolding,[],[f996,f984]) ).

thf(f984,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(f996,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( zero_z189798548lle_hf = X0 )
      | ( ( hF_Mirabelle_hinsert @ ( sK2 @ X0 ) @ ( sK1 @ X0 ) )
        = X0 ) ),
    inference(cnf_transformation,[],[f982]) ).

thf(f982,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( zero_z189798548lle_hf = X0 )
      | ( ( $true
         != ( hF_Mirabelle_hmem @ ( sK2 @ X0 ) @ ( sK1 @ X0 ) ) )
        & ( ( hF_Mirabelle_hinsert @ ( sK2 @ X0 ) @ ( sK1 @ X0 ) )
          = X0 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f973,f981]) ).

thf(f981,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ? [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
          ( ( $true
           != ( hF_Mirabelle_hmem @ X2 @ X1 ) )
          & ( ( hF_Mirabelle_hinsert @ X2 @ X1 )
            = X0 ) )
     => ( ( $true
         != ( hF_Mirabelle_hmem @ ( sK2 @ X0 ) @ ( sK1 @ X0 ) ) )
        & ( ( hF_Mirabelle_hinsert @ ( sK2 @ X0 ) @ ( sK1 @ X0 ) )
          = X0 ) ) ),
    introduced(choice_axiom,[]) ).

thf(f973,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( zero_z189798548lle_hf = X0 )
      | ? [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
          ( ( $true
           != ( hF_Mirabelle_hmem @ X2 @ X1 ) )
          & ( ( hF_Mirabelle_hinsert @ X2 @ X1 )
            = X0 ) ) ),
    inference(ennf_transformation,[],[f890]) ).

thf(f890,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( zero_z189798548lle_hf != X0 )
     => ~ ! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
            ( ( ( hF_Mirabelle_hinsert @ X2 @ X1 )
              = X0 )
           => ( $true
              = ( hF_Mirabelle_hmem @ X2 @ X1 ) ) ) ),
    inference(fool_elimination,[],[f889]) ).

thf(f889,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( zero_z189798548lle_hf != X0 )
     => ~ ! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
            ( ( ( hF_Mirabelle_hinsert @ X2 @ X1 )
              = X0 )
           => ( hF_Mirabelle_hmem @ X2 @ X1 ) ) ),
    inference(rectify,[],[f4]) ).

thf(f4,axiom,
    ! [X6: hF_Mirabelle_hf] :
      ( ( zero_z189798548lle_hf != X6 )
     => ~ ! [X8: hF_Mirabelle_hf,X7: 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(f1018,plain,
    ! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
      ( ( member1367349282lle_hf @ X2 @ ( hF_Mirabelle_hfset @ ( hF_Mirabelle_hinsert @ X2 @ X1 ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f1011]) ).

thf(f1011,plain,
    ! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
      ( $true
      = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) )
        @ X2
        @ ( hF_Mirabelle_hinsert @ X2 @ X1 ) ) ),
    inference(equality_resolution,[],[f1004]) ).

thf(f1004,plain,
    ! [X2: hF_Mirabelle_hf,X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
      ( ( $true
        = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) )
          @ X2
          @ ( hF_Mirabelle_hinsert @ X0 @ X1 ) ) )
      | ( X0 != X2 ) ),
    inference(definition_unfolding,[],[f993,f983]) ).

thf(f983,plain,
    ( hF_Mirabelle_hmem
    = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f488]) ).

thf(f488,plain,
    ( hF_Mirabelle_hmem
    = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f487]) ).

thf(f487,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(f993,plain,
    ! [X2: hF_Mirabelle_hf,X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
      ( ( $true
        = ( hF_Mirabelle_hmem @ X2 @ ( hF_Mirabelle_hinsert @ X0 @ X1 ) ) )
      | ( X0 != X2 ) ),
    inference(cnf_transformation,[],[f979]) ).

thf(f979,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
      ( ( ( $true
          = ( hF_Mirabelle_hmem @ X2 @ ( hF_Mirabelle_hinsert @ X0 @ X1 ) ) )
        | ( ( X0 != X2 )
          & ( $true
           != ( hF_Mirabelle_hmem @ X2 @ X1 ) ) ) )
      & ( ( X0 = X2 )
        | ( $true
          = ( hF_Mirabelle_hmem @ X2 @ X1 ) )
        | ( $true
         != ( hF_Mirabelle_hmem @ X2 @ ( hF_Mirabelle_hinsert @ X0 @ X1 ) ) ) ) ),
    inference(flattening,[],[f978]) ).

thf(f978,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
      ( ( ( $true
          = ( hF_Mirabelle_hmem @ X2 @ ( hF_Mirabelle_hinsert @ X0 @ X1 ) ) )
        | ( ( X0 != X2 )
          & ( $true
           != ( hF_Mirabelle_hmem @ X2 @ X1 ) ) ) )
      & ( ( X0 = X2 )
        | ( $true
          = ( hF_Mirabelle_hmem @ X2 @ X1 ) )
        | ( $true
         != ( hF_Mirabelle_hmem @ X2 @ ( hF_Mirabelle_hinsert @ X0 @ X1 ) ) ) ) ),
    inference(nnf_transformation,[],[f496]) ).

thf(f496,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
      ( ( $true
        = ( hF_Mirabelle_hmem @ X2 @ ( hF_Mirabelle_hinsert @ X0 @ X1 ) ) )
    <=> ( ( X0 = X2 )
        | ( $true
          = ( hF_Mirabelle_hmem @ X2 @ X1 ) ) ) ),
    inference(fool_elimination,[],[f495]) ).

thf(f495,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
      ( ( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mirabelle_hinsert @ X0 @ X1 ) )
        = ( X0 = X2 ) )
      | ( hF_Mirabelle_hmem @ X2 @ X1 ) ),
    inference(rectify,[],[f5]) ).

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

thf(f1025,plain,
    ( ! [X1: hF_Mirabelle_hf] :
        ( $true
       != ( member1367349282lle_hf @ X1 @ ( hF_Mirabelle_hfset @ z ) ) )
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f1024]) ).

thf(f1024,plain,
    ( spl3_1
  <=> ! [X1: hF_Mirabelle_hf] :
        ( $true
       != ( member1367349282lle_hf @ X1 @ ( hF_Mirabelle_hfset @ z ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

thf(f1043,plain,
    ( ~ spl3_1
    | ~ spl3_3 ),
    inference(avatar_contradiction_clause,[],[f1042]) ).

thf(f1042,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_3 ),
    inference(trivial_inequality_removal,[],[f1041]) ).

thf(f1041,plain,
    ( ( $true != $true )
    | ~ spl3_1
    | ~ spl3_3 ),
    inference(superposition,[],[f1025,f1034]) ).

thf(f1034,plain,
    ( ( $true
      = ( member1367349282lle_hf @ sK0 @ ( hF_Mirabelle_hfset @ z ) ) )
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f1032]) ).

thf(f1032,plain,
    ( spl3_3
  <=> ( $true
      = ( member1367349282lle_hf @ sK0 @ ( hF_Mirabelle_hfset @ z ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

thf(f1040,plain,
    ( spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f1036,f1027,f1024]) ).

thf(f1036,plain,
    ( ! [X0: hF_Mirabelle_hf] :
        ( $true
       != ( member1367349282lle_hf @ X0 @ ( hF_Mirabelle_hfset @ z ) ) )
    | ~ spl3_2 ),
    inference(backward_demodulation,[],[f1017,f1029]) ).

thf(f1029,plain,
    ( ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
      = z )
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f1027]) ).

thf(f1017,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( $true
     != ( member1367349282lle_hf @ X0 @ ( hF_Mirabelle_hfset @ ( hF_Mirabelle_HF @ bot_bo53200981lle_hf ) ) ) ),
    inference(beta_eta_normalization,[],[f998]) ).

thf(f998,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( $true
     != ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) )
        @ X0
        @ ( hF_Mirabelle_HF @ bot_bo53200981lle_hf ) ) ),
    inference(definition_unfolding,[],[f985,f983,f984]) ).

thf(f985,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( $true
     != ( hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf ) ),
    inference(cnf_transformation,[],[f971]) ).

thf(f971,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( $true
     != ( hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf ) ),
    inference(flattening,[],[f622]) ).

thf(f622,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( $true
     != ( hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf ) ),
    inference(fool_elimination,[],[f621]) ).

thf(f621,plain,
    ! [X0: hF_Mirabelle_hf] :
      ~ ( hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ! [X5: hF_Mirabelle_hf] :
      ~ ( hF_Mirabelle_hmem @ X5 @ zero_z189798548lle_hf ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_hemptyE) ).

thf(f1035,plain,
    ( ~ spl3_2
    | spl3_3 ),
    inference(avatar_split_clause,[],[f1019,f1032,f1027]) ).

thf(f1019,plain,
    ( ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
     != z )
    | ( $true
      = ( member1367349282lle_hf @ sK0 @ ( hF_Mirabelle_hfset @ z ) ) ) ),
    inference(beta_eta_normalization,[],[f1001]) ).

thf(f1001,plain,
    ( ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
     != z )
    | ( $true
      = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) )
        @ sK0
        @ z ) ) ),
    inference(definition_unfolding,[],[f989,f984,f983]) ).

thf(f989,plain,
    ( ( zero_z189798548lle_hf != z )
    | ( ( hF_Mirabelle_hmem @ sK0 @ z )
      = $true ) ),
    inference(cnf_transformation,[],[f977]) ).

thf(f977,plain,
    ( ( ( zero_z189798548lle_hf != z )
      | ( ( hF_Mirabelle_hmem @ sK0 @ z )
        = $true ) )
    & ( ( zero_z189798548lle_hf = z )
      | ! [X1: hF_Mirabelle_hf] :
          ( ( hF_Mirabelle_hmem @ X1 @ z )
         != $true ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f975,f976]) ).

thf(f976,plain,
    ( ? [X0: hF_Mirabelle_hf] :
        ( $true
        = ( hF_Mirabelle_hmem @ X0 @ z ) )
   => ( ( hF_Mirabelle_hmem @ sK0 @ z )
      = $true ) ),
    introduced(choice_axiom,[]) ).

thf(f975,plain,
    ( ( ( zero_z189798548lle_hf != z )
      | ? [X0: hF_Mirabelle_hf] :
          ( $true
          = ( hF_Mirabelle_hmem @ X0 @ z ) ) )
    & ( ( zero_z189798548lle_hf = z )
      | ! [X1: hF_Mirabelle_hf] :
          ( ( hF_Mirabelle_hmem @ X1 @ z )
         != $true ) ) ),
    inference(rectify,[],[f974]) ).

thf(f974,plain,
    ( ( ( zero_z189798548lle_hf != z )
      | ? [X0: hF_Mirabelle_hf] :
          ( $true
          = ( hF_Mirabelle_hmem @ X0 @ z ) ) )
    & ( ( zero_z189798548lle_hf = z )
      | ! [X0: hF_Mirabelle_hf] :
          ( $true
         != ( hF_Mirabelle_hmem @ X0 @ z ) ) ) ),
    inference(nnf_transformation,[],[f972]) ).

thf(f972,plain,
    ( ! [X0: hF_Mirabelle_hf] :
        ( $true
       != ( hF_Mirabelle_hmem @ X0 @ z ) )
  <~> ( zero_z189798548lle_hf = z ) ),
    inference(ennf_transformation,[],[f969]) ).

thf(f969,plain,
    ~ ( ! [X0: hF_Mirabelle_hf] :
          ( $true
         != ( hF_Mirabelle_hmem @ X0 @ z ) )
    <=> ( zero_z189798548lle_hf = z ) ),
    inference(flattening,[],[f962]) ).

thf(f962,plain,
    ~ ( ( zero_z189798548lle_hf = z )
    <=> ! [X0: hF_Mirabelle_hf] :
          ( $true
         != ( hF_Mirabelle_hmem @ X0 @ z ) ) ),
    inference(fool_elimination,[],[f961]) ).

thf(f961,plain,
    ( ( zero_z189798548lle_hf = z )
   != ( ! [X0: hF_Mirabelle_hf] :
          ~ ( hF_Mirabelle_hmem @ X0 @ z ) ) ),
    inference(rectify,[],[f353]) ).

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

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

thf(f1030,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f1021,f1027,f1024]) ).

thf(f1021,plain,
    ! [X1: hF_Mirabelle_hf] :
      ( ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
        = z )
      | ( $true
       != ( member1367349282lle_hf @ X1 @ ( hF_Mirabelle_hfset @ z ) ) ) ),
    inference(beta_eta_normalization,[],[f1002]) ).

thf(f1002,plain,
    ! [X1: hF_Mirabelle_hf] :
      ( ( ( hF_Mirabelle_HF @ bot_bo53200981lle_hf )
        = z )
      | ( ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) )
          @ X1
          @ z )
       != $true ) ),
    inference(definition_unfolding,[],[f988,f984,f983]) ).

thf(f988,plain,
    ! [X1: hF_Mirabelle_hf] :
      ( ( zero_z189798548lle_hf = z )
      | ( ( hF_Mirabelle_hmem @ X1 @ z )
       != $true ) ),
    inference(cnf_transformation,[],[f977]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ITP072^1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.13  % Command    : run_vampire %s %d THM
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Wed Jun 19 03:03:09 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  This is a TH0_THM_EQU_NAR problem
% 0.13/0.37  Running higher-order theorem proving
% 0.13/0.37  Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.22/0.40  % (16281)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)
% 0.22/0.40  % (16279)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.40  % (16283)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40  % (16284)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)
% 0.22/0.40  % (16282)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)
% 0.22/0.40  % (16286)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.40  % (16285)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)
% 0.22/0.41  % (16284)Instruction limit reached!
% 0.22/0.41  % (16284)------------------------------
% 0.22/0.41  % (16284)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41  % (16284)Termination reason: Unknown
% 0.22/0.41  % (16284)Termination phase: shuffling
% 0.22/0.41  
% 0.22/0.41  % (16284)Memory used [KB]: 1407
% 0.22/0.41  % (16284)Time elapsed: 0.003 s
% 0.22/0.41  % (16284)Instructions burned: 2 (million)
% 0.22/0.41  % (16284)------------------------------
% 0.22/0.41  % (16284)------------------------------
% 0.22/0.41  % (16283)Instruction limit reached!
% 0.22/0.41  % (16283)------------------------------
% 0.22/0.41  % (16283)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41  % (16283)Termination reason: Unknown
% 0.22/0.41  % (16283)Termination phase: shuffling
% 0.22/0.41  
% 0.22/0.41  % (16283)Memory used [KB]: 1535
% 0.22/0.41  % (16283)Time elapsed: 0.004 s
% 0.22/0.41  % (16283)Instructions burned: 3 (million)
% 0.22/0.41  % (16283)------------------------------
% 0.22/0.41  % (16283)------------------------------
% 0.22/0.41  % (16281)Instruction limit reached!
% 0.22/0.41  % (16281)------------------------------
% 0.22/0.41  % (16281)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41  % (16281)Termination reason: Unknown
% 0.22/0.41  % (16281)Termination phase: shuffling
% 0.22/0.41  
% 0.22/0.41  % (16281)Memory used [KB]: 1535
% 0.22/0.41  % (16281)Time elapsed: 0.005 s
% 0.22/0.41  % (16281)Instructions burned: 5 (million)
% 0.22/0.41  % (16281)------------------------------
% 0.22/0.41  % (16281)------------------------------
% 0.22/0.41  % (16286)Instruction limit reached!
% 0.22/0.41  % (16286)------------------------------
% 0.22/0.41  % (16286)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41  % (16286)Termination reason: Unknown
% 0.22/0.41  % (16286)Termination phase: shuffling
% 0.22/0.41  
% 0.22/0.41  % (16286)Memory used [KB]: 1918
% 0.22/0.41  % (16286)Time elapsed: 0.012 s
% 0.22/0.41  % (16286)Instructions burned: 18 (million)
% 0.22/0.41  % (16286)------------------------------
% 0.22/0.41  % (16286)------------------------------
% 0.22/0.42  % (16282)Instruction limit reached!
% 0.22/0.42  % (16282)------------------------------
% 0.22/0.42  % (16282)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42  % (16282)Termination reason: Unknown
% 0.22/0.42  % (16282)Termination phase: Property scanning
% 0.22/0.42  
% 0.22/0.42  % (16282)Memory used [KB]: 1918
% 0.22/0.42  % (16282)Time elapsed: 0.017 s
% 0.22/0.42  % (16282)Instructions burned: 28 (million)
% 0.22/0.42  % (16282)------------------------------
% 0.22/0.42  % (16282)------------------------------
% 0.22/0.42  % (16287)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)
% 0.22/0.42  % (16288)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)
% 0.22/0.42  % (16289)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)
% 0.22/0.42  % (16287)Instruction limit reached!
% 0.22/0.42  % (16287)------------------------------
% 0.22/0.42  % (16287)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42  % (16287)Termination reason: Unknown
% 0.22/0.42  % (16287)Termination phase: shuffling
% 0.22/0.42  
% 0.22/0.42  % (16287)Memory used [KB]: 1535
% 0.22/0.42  % (16287)Time elapsed: 0.004 s
% 0.22/0.42  % (16287)Instructions burned: 4 (million)
% 0.22/0.42  % (16287)------------------------------
% 0.22/0.42  % (16287)------------------------------
% 0.22/0.43  % (16285)Refutation not found, incomplete strategy
% 0.22/0.43  % (16285)------------------------------
% 0.22/0.43  % (16285)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43  % (16285)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43  
% 0.22/0.43  
% 0.22/0.43  % (16285)Memory used [KB]: 6396
% 0.22/0.43  % (16285)Time elapsed: 0.022 s
% 0.22/0.43  % (16285)Instructions burned: 36 (million)
% 0.22/0.43  % (16285)------------------------------
% 0.22/0.43  % (16285)------------------------------
% 0.22/0.43  % (16290)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)
% 0.22/0.43  % (16289)Instruction limit reached!
% 0.22/0.43  % (16289)------------------------------
% 0.22/0.43  % (16289)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43  % (16289)Termination reason: Unknown
% 0.22/0.43  % (16289)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (16289)Memory used [KB]: 1791
% 0.22/0.43  % (16289)Time elapsed: 0.010 s
% 0.22/0.43  % (16289)Instructions burned: 15 (million)
% 0.22/0.43  % (16289)------------------------------
% 0.22/0.43  % (16289)------------------------------
% 0.22/0.43  % (16290)Instruction limit reached!
% 0.22/0.43  % (16290)------------------------------
% 0.22/0.43  % (16290)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43  % (16290)Termination reason: Unknown
% 0.22/0.43  % (16290)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (16290)Memory used [KB]: 1535
% 0.22/0.43  % (16290)Time elapsed: 0.004 s
% 0.22/0.43  % (16290)Instructions burned: 4 (million)
% 0.22/0.43  % (16290)------------------------------
% 0.22/0.43  % (16290)------------------------------
% 0.22/0.43  % (16291)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)
% 0.22/0.44  % (16292)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.44  % (16288)Instruction limit reached!
% 0.22/0.44  % (16288)------------------------------
% 0.22/0.44  % (16288)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44  % (16288)Termination reason: Unknown
% 0.22/0.44  % (16288)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (16288)Memory used [KB]: 2174
% 0.22/0.44  % (16288)Time elapsed: 0.020 s
% 0.22/0.44  % (16288)Instructions burned: 37 (million)
% 0.22/0.44  % (16288)------------------------------
% 0.22/0.44  % (16288)------------------------------
% 0.22/0.44  % (16293)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.44  % (16292)Instruction limit reached!
% 0.22/0.44  % (16292)------------------------------
% 0.22/0.44  % (16292)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44  % (16292)Termination reason: Unknown
% 0.22/0.44  % (16292)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (16292)Memory used [KB]: 1535
% 0.22/0.44  % (16292)Time elapsed: 0.006 s
% 0.22/0.44  % (16292)Instructions burned: 8 (million)
% 0.22/0.44  % (16292)------------------------------
% 0.22/0.44  % (16292)------------------------------
% 0.22/0.45  % (16294)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)
% 0.22/0.45  % (16295)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)
% 0.22/0.45  % (16294)Instruction limit reached!
% 0.22/0.45  % (16294)------------------------------
% 0.22/0.45  % (16294)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45  % (16294)Termination reason: Unknown
% 0.22/0.45  % (16294)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (16294)Memory used [KB]: 1535
% 0.22/0.45  % (16294)Time elapsed: 0.004 s
% 0.22/0.45  % (16294)Instructions burned: 4 (million)
% 0.22/0.45  % (16294)------------------------------
% 0.22/0.45  % (16294)------------------------------
% 0.22/0.45  % (16295)Instruction limit reached!
% 0.22/0.45  % (16295)------------------------------
% 0.22/0.45  % (16295)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45  % (16295)Termination reason: Unknown
% 0.22/0.45  % (16295)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (16295)Memory used [KB]: 1535
% 0.22/0.45  % (16295)Time elapsed: 0.004 s
% 0.22/0.45  % (16295)Instructions burned: 4 (million)
% 0.22/0.45  % (16295)------------------------------
% 0.22/0.45  % (16295)------------------------------
% 0.22/0.45  % (16293)Instruction limit reached!
% 0.22/0.45  % (16293)------------------------------
% 0.22/0.45  % (16293)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45  % (16293)Termination reason: Unknown
% 0.22/0.45  % (16293)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (16293)Memory used [KB]: 1918
% 0.22/0.45  % (16293)Time elapsed: 0.011 s
% 0.22/0.45  % (16293)Instructions burned: 16 (million)
% 0.22/0.45  % (16293)------------------------------
% 0.22/0.45  % (16293)------------------------------
% 0.22/0.46  % (16296)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)
% 0.22/0.46  % (16297)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)
% 0.22/0.46  % (16297)Instruction limit reached!
% 0.22/0.46  % (16297)------------------------------
% 0.22/0.46  % (16297)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46  % (16297)Termination reason: Unknown
% 0.22/0.46  % (16297)Termination phase: shuffling
% 0.22/0.46  
% 0.22/0.46  % (16297)Memory used [KB]: 1407
% 0.22/0.46  % (16297)Time elapsed: 0.003 s
% 0.22/0.46  % (16297)Instructions burned: 3 (million)
% 0.22/0.46  % (16297)------------------------------
% 0.22/0.46  % (16297)------------------------------
% 0.22/0.46  % (16296)Instruction limit reached!
% 0.22/0.46  % (16296)------------------------------
% 0.22/0.46  % (16296)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46  % (16296)Termination reason: Unknown
% 0.22/0.46  % (16296)Termination phase: shuffling
% 0.22/0.46  
% 0.22/0.46  % (16296)Memory used [KB]: 1535
% 0.22/0.46  % (16296)Time elapsed: 0.006 s
% 0.22/0.46  % (16296)Instructions burned: 8 (million)
% 0.22/0.46  % (16296)------------------------------
% 0.22/0.46  % (16296)------------------------------
% 0.22/0.46  % (16298)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.47  % (16299)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)
% 0.22/0.47  % (16300)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.47  % (16298)Instruction limit reached!
% 0.22/0.47  % (16298)------------------------------
% 0.22/0.47  % (16298)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47  % (16298)Termination reason: Unknown
% 0.22/0.47  % (16298)Termination phase: shuffling
% 0.22/0.47  
% 0.22/0.47  % (16298)Memory used [KB]: 1535
% 0.22/0.47  % (16298)Time elapsed: 0.004 s
% 0.22/0.47  % (16298)Instructions burned: 4 (million)
% 0.22/0.47  % (16298)------------------------------
% 0.22/0.47  % (16298)------------------------------
% 0.22/0.47  % (16301)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.48  % (16302)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)
% 0.22/0.48  % (16299)Instruction limit reached!
% 0.22/0.48  % (16299)------------------------------
% 0.22/0.48  % (16299)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48  % (16299)Termination reason: Unknown
% 0.22/0.48  % (16299)Termination phase: shuffling
% 0.22/0.48  
% 0.22/0.48  % (16299)Memory used [KB]: 1918
% 0.22/0.48  % (16299)Time elapsed: 0.012 s
% 0.22/0.48  % (16299)Instructions burned: 19 (million)
% 0.22/0.48  % (16299)------------------------------
% 0.22/0.48  % (16299)------------------------------
% 0.22/0.48  % (16301)Instruction limit reached!
% 0.22/0.48  % (16301)------------------------------
% 0.22/0.48  % (16301)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48  % (16301)Termination reason: Unknown
% 0.22/0.48  % (16301)Termination phase: shuffling
% 0.22/0.48  
% 0.22/0.48  % (16301)Memory used [KB]: 1535
% 0.22/0.48  % (16301)Time elapsed: 0.005 s
% 0.22/0.48  % (16301)Instructions burned: 6 (million)
% 0.22/0.48  % (16301)------------------------------
% 0.22/0.48  % (16301)------------------------------
% 0.22/0.48  % (16303)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)
% 0.22/0.49  % (16300)First to succeed.
% 0.22/0.49  % (16304)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.49  % (16304)Instruction limit reached!
% 0.22/0.49  % (16304)------------------------------
% 0.22/0.49  % (16304)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49  % (16304)Termination reason: Unknown
% 0.22/0.49  % (16304)Termination phase: shuffling
% 0.22/0.49  
% 0.22/0.49  % (16304)Memory used [KB]: 1535
% 0.22/0.49  % (16304)Time elapsed: 0.004 s
% 0.22/0.49  % (16304)Instructions burned: 5 (million)
% 0.22/0.49  % (16304)------------------------------
% 0.22/0.49  % (16304)------------------------------
% 0.22/0.49  % (16305)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)
% 0.22/0.49  % (16300)Refutation found. Thanks to Tanya!
% 0.22/0.49  % SZS status Theorem for theBenchmark
% 0.22/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.49  % (16300)------------------------------
% 0.22/0.49  % (16300)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49  % (16300)Termination reason: Refutation
% 0.22/0.49  
% 0.22/0.49  % (16300)Memory used [KB]: 6524
% 0.22/0.49  % (16300)Time elapsed: 0.028 s
% 0.22/0.49  % (16300)Instructions burned: 43 (million)
% 0.22/0.49  % (16300)------------------------------
% 0.22/0.49  % (16300)------------------------------
% 0.22/0.49  % (16278)Success in time 0.111 s
%------------------------------------------------------------------------------