TSTP Solution File: NUM749^4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM749^4 : TPTP v8.1.2. Released v7.1.0.
% 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 : n013.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 08:15:04 EDT 2024

% Result   : Theorem 1.93s 0.66s
% Output   : Refutation 1.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  180
% Syntax   : Number of formulae    :  219 (  45 unt; 169 typ;   0 def)
%            Number of atoms       :  254 (  59 equ;   0 cnn)
%            Maximal formula atoms :    7 (   5 avg)
%            Number of connectives :  570 (   6   ~;   0   |;   0   &; 564   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  453 ( 453   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  174 ( 171 usr;   4 con; 0-7 aty)
%            Number of variables   :  180 ( 179   ^   0   !;   0   ?; 180   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    is_of: $i > ( $i > $o ) > $o ).

thf(func_def_2,type,
    all_of: ( $i > $o ) > ( $i > $o ) > $o ).

thf(func_def_3,type,
    eps: ( $i > $o ) > $i ).

thf(func_def_4,type,
    in: $i > $i > $o ).

thf(func_def_5,type,
    d_Subq: $i > $i > $o ).

thf(func_def_7,type,
    union: $i > $i ).

thf(func_def_8,type,
    power: $i > $i ).

thf(func_def_9,type,
    repl: $i > ( $i > $i ) > $i ).

thf(func_def_10,type,
    d_Union_closed: $i > $o ).

thf(func_def_11,type,
    d_Power_closed: $i > $o ).

thf(func_def_12,type,
    d_Repl_closed: $i > $o ).

thf(func_def_13,type,
    d_ZF_closed: $i > $o ).

thf(func_def_14,type,
    univof: $i > $i ).

thf(func_def_15,type,
    if: $o > $i > $i > $i ).

thf(func_def_16,type,
    nIn: $i > $i > $o ).

thf(func_def_17,type,
    d_UPair: $i > $i > $i ).

thf(func_def_18,type,
    d_Sing: $i > $i ).

thf(func_def_19,type,
    binunion: $i > $i > $i ).

thf(func_def_20,type,
    famunion: $i > ( $i > $i ) > $i ).

thf(func_def_21,type,
    d_Sep: $i > ( $i > $o ) > $i ).

thf(func_def_22,type,
    d_ReplSep: $i > ( $i > $o ) > ( $i > $i ) > $i ).

thf(func_def_23,type,
    setminus: $i > $i > $i ).

thf(func_def_24,type,
    d_In_rec_G: ( $i > ( $i > $i ) > $i ) > $i > $i > $o ).

thf(func_def_25,type,
    d_In_rec: ( $i > ( $i > $i ) > $i ) > $i > $i ).

thf(func_def_26,type,
    ordsucc: $i > $i ).

thf(func_def_27,type,
    nat_p: $i > $o ).

thf(func_def_29,type,
    d_Inj1: $i > $i ).

thf(func_def_30,type,
    d_Inj0: $i > $i ).

thf(func_def_31,type,
    d_Unj: $i > $i ).

thf(func_def_32,type,
    pair: $i > $i > $i ).

thf(func_def_33,type,
    proj0: $i > $i ).

thf(func_def_34,type,
    proj1: $i > $i ).

thf(func_def_35,type,
    d_Sigma: $i > ( $i > $i ) > $i ).

thf(func_def_36,type,
    setprod: $i > $i > $i ).

thf(func_def_37,type,
    ap: $i > $i > $i ).

thf(func_def_38,type,
    pair_p: $i > $o ).

thf(func_def_39,type,
    d_Pi: $i > ( $i > $i ) > $i ).

thf(func_def_40,type,
    imp: $o > $o > $o ).

thf(func_def_41,type,
    d_not: $o > $o ).

thf(func_def_42,type,
    wel: $o > $o ).

thf(func_def_44,type,
    l_ec: $o > $o > $o ).

thf(func_def_45,type,
    d_and: $o > $o > $o ).

thf(func_def_46,type,
    l_or: $o > $o > $o ).

thf(func_def_47,type,
    orec: $o > $o > $o ).

thf(func_def_48,type,
    l_iff: $o > $o > $o ).

thf(func_def_49,type,
    all: $i > ( $i > $o ) > $o ).

thf(func_def_50,type,
    non: $i > ( $i > $o ) > $i > $o ).

thf(func_def_51,type,
    l_some: $i > ( $i > $o ) > $o ).

thf(func_def_52,type,
    or3: $o > $o > $o > $o ).

thf(func_def_53,type,
    and3: $o > $o > $o > $o ).

thf(func_def_54,type,
    ec3: $o > $o > $o > $o ).

thf(func_def_55,type,
    orec3: $o > $o > $o > $o ).

thf(func_def_56,type,
    e_is: $i > $i > $i > $o ).

thf(func_def_57,type,
    amone: $i > ( $i > $o ) > $o ).

thf(func_def_58,type,
    one: $i > ( $i > $o ) > $o ).

thf(func_def_59,type,
    ind: $i > ( $i > $o ) > $i ).

thf(func_def_60,type,
    injective: $i > $i > $i > $o ).

thf(func_def_61,type,
    image: $i > $i > $i > $i > $o ).

thf(func_def_62,type,
    tofs: $i > $i > $i > $i > $i ).

thf(func_def_63,type,
    soft: $i > $i > $i > $i > $i ).

thf(func_def_64,type,
    inverse: $i > $i > $i > $i ).

thf(func_def_65,type,
    surjective: $i > $i > $i > $o ).

thf(func_def_66,type,
    bijective: $i > $i > $i > $o ).

thf(func_def_67,type,
    invf: $i > $i > $i > $i ).

thf(func_def_68,type,
    inj_h: $i > $i > $i > $i > $i > $i ).

thf(func_def_69,type,
    e_in: $i > ( $i > $o ) > $i > $i ).

thf(func_def_70,type,
    out: $i > ( $i > $o ) > $i > $i ).

thf(func_def_71,type,
    d_pair: $i > $i > $i > $i > $i ).

thf(func_def_72,type,
    first: $i > $i > $i > $i ).

thf(func_def_73,type,
    second: $i > $i > $i > $i ).

thf(func_def_74,type,
    prop1: $o > $i > $i > $i > $i > $o ).

thf(func_def_75,type,
    ite: $o > $i > $i > $i > $i ).

thf(func_def_76,type,
    wissel_wa: $i > $i > $i > $i > $i ).

thf(func_def_77,type,
    wissel_wb: $i > $i > $i > $i > $i ).

thf(func_def_78,type,
    wissel: $i > $i > $i > $i ).

thf(func_def_79,type,
    changef: $i > $i > $i > $i > $i > $i ).

thf(func_def_80,type,
    r_ec: $o > $o > $o ).

thf(func_def_81,type,
    esti: $i > $i > $i > $o ).

thf(func_def_82,type,
    empty: $i > $i > $o ).

thf(func_def_83,type,
    nonempty: $i > $i > $o ).

thf(func_def_84,type,
    incl: $i > $i > $i > $o ).

thf(func_def_85,type,
    st_disj: $i > $i > $i > $o ).

thf(func_def_86,type,
    nissetprop: $i > $i > $i > $i > $o ).

thf(func_def_87,type,
    unmore: $i > $i > $i > $i ).

thf(func_def_88,type,
    ecelt: $i > ( $i > $i > $o ) > $i > $i ).

thf(func_def_89,type,
    ecp: $i > ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_90,type,
    anec: $i > ( $i > $i > $o ) > $i > $o ).

thf(func_def_91,type,
    ect: $i > ( $i > $i > $o ) > $i ).

thf(func_def_92,type,
    ectset: $i > ( $i > $i > $o ) > $i > $i ).

thf(func_def_93,type,
    ectelt: $i > ( $i > $i > $o ) > $i > $i ).

thf(func_def_94,type,
    ecect: $i > ( $i > $i > $o ) > $i > $i ).

thf(func_def_95,type,
    fixfu: $i > ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_96,type,
    d_10_prop1: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $i > $o ).

thf(func_def_97,type,
    prop2: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $o ).

thf(func_def_98,type,
    indeq: $i > ( $i > $i > $o ) > $i > $i > $i > $i ).

thf(func_def_99,type,
    fixfu2: $i > ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_100,type,
    d_11_i: $i > ( $i > $i > $o ) > $i > $i > $i > $i ).

thf(func_def_101,type,
    indeq2: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $i ).

thf(func_def_103,type,
    n_is: $i > $i > $o ).

thf(func_def_104,type,
    nis: $i > $i > $o ).

thf(func_def_105,type,
    n_in: $i > $i > $o ).

thf(func_def_106,type,
    n_some: ( $i > $o ) > $o ).

thf(func_def_107,type,
    n_all: ( $i > $o ) > $o ).

thf(func_def_108,type,
    n_one: ( $i > $o ) > $o ).

thf(func_def_110,type,
    cond1: $i > $o ).

thf(func_def_111,type,
    cond2: $i > $o ).

thf(func_def_112,type,
    i1_s: ( $i > $o ) > $i ).

thf(func_def_113,type,
    d_22_prop1: $i > $o ).

thf(func_def_114,type,
    d_23_prop1: $i > $o ).

thf(func_def_115,type,
    d_24_prop1: $i > $o ).

thf(func_def_116,type,
    d_24_prop2: $i > $i > $o ).

thf(func_def_117,type,
    prop3: $i > $i > $i > $o ).

thf(func_def_118,type,
    prop4: $i > $o ).

thf(func_def_119,type,
    d_24_g: $i > $i ).

thf(func_def_120,type,
    plus: $i > $i ).

thf(func_def_121,type,
    n_pl: $i > $i > $i ).

thf(func_def_122,type,
    d_25_prop1: $i > $i > $i > $o ).

thf(func_def_123,type,
    d_26_prop1: $i > $i > $o ).

thf(func_def_124,type,
    d_27_prop1: $i > $i > $o ).

thf(func_def_125,type,
    d_28_prop1: $i > $i > $i > $o ).

thf(func_def_126,type,
    diffprop: $i > $i > $i > $o ).

thf(func_def_127,type,
    d_29_ii: $i > $i > $o ).

thf(func_def_128,type,
    iii: $i > $i > $o ).

thf(func_def_129,type,
    d_29_prop1: $i > $i > $o ).

thf(func_def_130,type,
    moreis: $i > $i > $o ).

thf(func_def_131,type,
    lessis: $i > $i > $o ).

thf(func_def_132,type,
    lbprop: ( $i > $o ) > $i > $i > $o ).

thf(func_def_133,type,
    n_lb: ( $i > $o ) > $i > $o ).

thf(func_def_134,type,
    min: ( $i > $o ) > $i > $o ).

thf(func_def_135,type,
    d_428_prop1: $i > $i > $o ).

thf(func_def_136,type,
    d_428_prop2: $i > $i > $o ).

thf(func_def_137,type,
    d_428_prop4: $i > $o ).

thf(func_def_139,type,
    d_428_g: $i > $i ).

thf(func_def_140,type,
    times: $i > $i ).

thf(func_def_141,type,
    n_ts: $i > $i > $i ).

thf(func_def_142,type,
    d_429_prop1: $i > $i > $o ).

thf(func_def_143,type,
    d_430_prop1: $i > $i > $i > $o ).

thf(func_def_144,type,
    d_431_prop1: $i > $i > $i > $o ).

thf(func_def_145,type,
    n_mn: $i > $i > $i ).

thf(func_def_146,type,
    d_1to: $i > $i ).

thf(func_def_147,type,
    outn: $i > $i > $i ).

thf(func_def_148,type,
    inn: $i > $i > $i ).

thf(func_def_150,type,
    singlet_u0: $i > $i ).

thf(func_def_154,type,
    pair_u0: $i > $i ).

thf(func_def_155,type,
    pair1type: $i > $i ).

thf(func_def_156,type,
    pair1: $i > $i > $i > $i ).

thf(func_def_157,type,
    first1: $i > $i > $i ).

thf(func_def_158,type,
    second1: $i > $i > $i ).

thf(func_def_159,type,
    pair_q0: $i > $i > $i ).

thf(func_def_160,type,
    d_1out: $i > $i ).

thf(func_def_161,type,
    xout: $i > $i ).

thf(func_def_162,type,
    left1to: $i > $i > $i > $i ).

thf(func_def_163,type,
    right1to: $i > $i > $i > $i ).

thf(func_def_164,type,
    left: $i > $i > $i > $i > $i ).

thf(func_def_165,type,
    right: $i > $i > $i > $i > $i ).

thf(func_def_166,type,
    left_f1: $i > $i > $i > $i > $i ).

thf(func_def_167,type,
    left_f2: $i > $i > $i > $i > $i ).

thf(func_def_169,type,
    n_fr: $i > $i > $i ).

thf(func_def_170,type,
    num: $i > $i ).

thf(func_def_171,type,
    den: $i > $i ).

thf(func_def_172,type,
    n_eq: $i > $i > $o ).

thf(func_def_173,type,
    moref: $i > $i > $o ).

thf(func_def_174,type,
    lessf: $i > $i > $o ).

thf(func_def_175,type,
    moreq: $i > $i > $o ).

thf(func_def_176,type,
    lesseq: $i > $i > $o ).

thf(func_def_177,type,
    n_pf: $i > $i > $i ).

thf(func_def_198,type,
    sK1: ( $i > $i ) > ( $i > $i ) > $i > $i ).

thf(func_def_199,type,
    sK2: ( $i > $o ) > $i ).

thf(func_def_200,type,
    ph3: 
      !>[X0: $tType] : X0 ).

thf(f1704,plain,
    $false,
    inference(trivial_inequality_removal,[],[f1703]) ).

thf(f1703,plain,
    $true = $false,
    inference(forward_demodulation,[],[f1471,f1638]) ).

thf(f1638,plain,
    ( $false
    = ( all_of
      @ ^ [Y0: $i] : ( in @ Y0 @ frac )
      @ ^ [Y0: $i] :
          ( all_of
          @ ^ [Y1: $i] : ( in @ Y1 @ frac )
          @ ^ [Y1: $i] :
              ( l_some @ nat
              @ ^ [Y2: $i] :
                  ( ( n_ts @ ( num @ ( n_fr @ ( n_pl @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) @ ( n_ts @ ( den @ Y0 ) @ ( den @ Y1 ) ) ) ) @ ( den @ Y0 ) )
                  = ( n_pl @ ( n_ts @ ( num @ Y0 ) @ ( den @ ( n_fr @ ( n_pl @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) @ ( n_ts @ ( den @ Y0 ) @ ( den @ Y1 ) ) ) ) ) @ Y2 ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f1559]) ).

thf(f1559,plain,
    ( $true
    = ( ~ ( all_of
          @ ^ [Y0: $i] : ( in @ Y0 @ frac )
          @ ^ [Y0: $i] :
              ( all_of
              @ ^ [Y1: $i] : ( in @ Y1 @ frac )
              @ ^ [Y1: $i] :
                  ( l_some @ nat
                  @ ^ [Y2: $i] :
                      ( ( n_ts @ ( num @ ( n_fr @ ( n_pl @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) @ ( n_ts @ ( den @ Y0 ) @ ( den @ Y1 ) ) ) ) @ ( den @ Y0 ) )
                      = ( n_pl @ ( n_ts @ ( num @ Y0 ) @ ( den @ ( n_fr @ ( n_pl @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) @ ( n_ts @ ( den @ Y0 ) @ ( den @ Y1 ) ) ) ) ) @ Y2 ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f1391]) ).

thf(f1391,plain,
    ( ( ~ ( all_of
          @ ^ [Y0: $i] : ( in @ Y0 @ frac )
          @ ^ [Y0: $i] :
              ( all_of
              @ ^ [Y1: $i] : ( in @ Y1 @ frac )
              @ ^ [Y1: $i] :
                  ( ^ [Y2: $i,Y3: $i] :
                      ( ^ [Y4: $i,Y5: $i] :
                          ( l_some @ nat
                          @ ( ^ [Y6: $i,Y7: $i,Y8: $i] :
                                ( ^ [Y9: $i,Y10: $i,Y11: $i] : ( Y10 = Y11 )
                                @ nat
                                @ Y6
                                @ ( n_pl @ Y7 @ Y8 ) )
                            @ Y5
                            @ Y4 ) )
                      @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y3 ) )
                      @ ( n_ts @ ( num @ Y3 ) @ ( den @ Y2 ) ) )
                  @ Y0
                  @ ( ^ [Y2: $i,Y3: $i] : ( n_fr @ ( n_pl @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y3 ) ) @ ( n_ts @ ( num @ Y3 ) @ ( den @ Y2 ) ) ) @ ( n_ts @ ( den @ Y2 ) @ ( den @ Y3 ) ) )
                    @ Y0
                    @ Y1 ) ) ) ) )
    = $true ),
    inference(definition_unfolding,[],[f1204,f1265,f1097]) ).

thf(f1097,plain,
    ( n_pf
    = ( ^ [Y0: $i,Y1: $i] : ( n_fr @ ( n_pl @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) @ ( n_ts @ ( den @ Y0 ) @ ( den @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f980]) ).

thf(f980,plain,
    ( n_pf
    = ( ^ [Y0: $i,Y1: $i] : ( n_fr @ ( n_pl @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) @ ( n_ts @ ( den @ Y0 ) @ ( den @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f397]) ).

thf(f397,axiom,
    ( ( ^ [X0: $i,X1: $i] : ( n_fr @ ( n_pl @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) @ ( n_ts @ ( den @ X0 ) @ ( den @ X1 ) ) ) )
    = n_pf ),
    file('/export/starexec/sandbox/tmp/tmp.DiNgQQwvvR/Vampire---4.8_5281',def_n_pf) ).

thf(f1265,plain,
    ( lessf
    = ( ^ [Y0: $i,Y1: $i] :
          ( ^ [Y2: $i,Y3: $i] :
              ( l_some @ nat
              @ ( ^ [Y4: $i,Y5: $i,Y6: $i] :
                    ( ^ [Y7: $i,Y8: $i,Y9: $i] : ( Y8 = Y9 )
                    @ nat
                    @ Y4
                    @ ( n_pl @ Y5 @ Y6 ) )
                @ Y3
                @ Y2 ) )
          @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) )
          @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ),
    inference(definition_unfolding,[],[f1176,f1261]) ).

thf(f1261,plain,
    ( iii
    = ( ^ [Y0: $i,Y1: $i] :
          ( l_some @ nat
          @ ( ^ [Y2: $i,Y3: $i,Y4: $i] :
                ( ^ [Y5: $i,Y6: $i,Y7: $i] : ( Y6 = Y7 )
                @ nat
                @ Y2
                @ ( n_pl @ Y3 @ Y4 ) )
            @ Y1
            @ Y0 ) ) ) ),
    inference(definition_unfolding,[],[f1233,f1116,f1259]) ).

thf(f1259,plain,
    ( diffprop
    = ( ^ [Y0: $i,Y1: $i,Y2: $i] :
          ( ^ [Y3: $i,Y4: $i,Y5: $i] : ( Y4 = Y5 )
          @ nat
          @ Y0
          @ ( n_pl @ Y1 @ Y2 ) ) ) ),
    inference(definition_unfolding,[],[f1106,f1258]) ).

thf(f1258,plain,
    ( n_is
    = ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 )
      @ nat ) ),
    inference(definition_unfolding,[],[f1133,f1102]) ).

thf(f1102,plain,
    ( e_is
    = ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
    inference(cnf_transformation,[],[f569]) ).

thf(f569,plain,
    ( e_is
    = ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
    inference(fool_elimination,[],[f568]) ).

thf(f568,plain,
    ( e_is
    = ( ^ [X0: $i,X1: $i,X2: $i] : ( X1 = X2 ) ) ),
    inference(rectify,[],[f91]) ).

thf(f91,axiom,
    ( e_is
    = ( ^ [X0: $i,X7: $i,X8: $i] : ( X7 = X8 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DiNgQQwvvR/Vampire---4.8_5281',def_e_is) ).

thf(f1133,plain,
    ( n_is
    = ( e_is @ nat ) ),
    inference(cnf_transformation,[],[f935]) ).

thf(f935,plain,
    ( n_is
    = ( e_is @ nat ) ),
    inference(fool_elimination,[],[f157]) ).

thf(f157,axiom,
    ( n_is
    = ( e_is @ nat ) ),
    file('/export/starexec/sandbox/tmp/tmp.DiNgQQwvvR/Vampire---4.8_5281',def_n_is) ).

thf(f1106,plain,
    ( diffprop
    = ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( n_is @ Y0 @ ( n_pl @ Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f602]) ).

thf(f602,plain,
    ( diffprop
    = ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( n_is @ Y0 @ ( n_pl @ Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f203]) ).

thf(f203,axiom,
    ( ( ^ [X0: $i,X1: $i,X2: $i] : ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) ) )
    = diffprop ),
    file('/export/starexec/sandbox/tmp/tmp.DiNgQQwvvR/Vampire---4.8_5281',def_diffprop) ).

thf(f1116,plain,
    ( n_some
    = ( l_some @ nat ) ),
    inference(cnf_transformation,[],[f539]) ).

thf(f539,plain,
    ( n_some
    = ( l_some @ nat ) ),
    inference(fool_elimination,[],[f160]) ).

thf(f160,axiom,
    ( n_some
    = ( l_some @ nat ) ),
    file('/export/starexec/sandbox/tmp/tmp.DiNgQQwvvR/Vampire---4.8_5281',def_n_some) ).

thf(f1233,plain,
    ( iii
    = ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y1 @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f1012]) ).

thf(f1012,plain,
    ( iii
    = ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y1 @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f206]) ).

thf(f206,axiom,
    ( iii
    = ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X1 @ X0 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DiNgQQwvvR/Vampire---4.8_5281',def_iii) ).

thf(f1176,plain,
    ( lessf
    = ( ^ [Y0: $i,Y1: $i] : ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f904]) ).

thf(f904,plain,
    ( lessf
    = ( ^ [Y0: $i,Y1: $i] : ( iii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f366]) ).

thf(f366,axiom,
    ( lessf
    = ( ^ [X0: $i,X1: $i] : ( iii @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DiNgQQwvvR/Vampire---4.8_5281',def_lessf) ).

thf(f1204,plain,
    ( $true
    = ( ~ ( all_of
          @ ^ [Y0: $i] : ( in @ Y0 @ frac )
          @ ^ [Y0: $i] :
              ( all_of
              @ ^ [Y1: $i] : ( in @ Y1 @ frac )
              @ ^ [Y1: $i] : ( lessf @ Y0 @ ( n_pf @ Y0 @ Y1 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f685]) ).

thf(f685,plain,
    ( $true
    = ( ~ ( all_of
          @ ^ [Y0: $i] : ( in @ Y0 @ frac )
          @ ^ [Y0: $i] :
              ( all_of
              @ ^ [Y1: $i] : ( in @ Y1 @ frac )
              @ ^ [Y1: $i] : ( lessf @ Y0 @ ( n_pf @ Y0 @ Y1 ) ) ) ) ) ),
    inference(fool_elimination,[],[f684]) ).

thf(f684,plain,
    ~ ( all_of
      @ ^ [X0: $i] : ( in @ X0 @ frac )
      @ ^ [X1: $i] :
          ( all_of
          @ ^ [X2: $i] : ( in @ X2 @ frac )
          @ ^ [X3: $i] : ( lessf @ X1 @ ( n_pf @ X1 @ X3 ) ) ) ),
    inference(rectify,[],[f405]) ).

thf(f405,negated_conjecture,
    ~ ( all_of
      @ ^ [X0: $i] : ( in @ X0 @ frac )
      @ ^ [X0: $i] :
          ( all_of
          @ ^ [X1: $i] : ( in @ X1 @ frac )
          @ ^ [X1: $i] : ( lessf @ X0 @ ( n_pf @ X0 @ X1 ) ) ) ),
    inference(negated_conjecture,[],[f404]) ).

thf(f404,conjecture,
    ( all_of
    @ ^ [X0: $i] : ( in @ X0 @ frac )
    @ ^ [X0: $i] :
        ( all_of
        @ ^ [X1: $i] : ( in @ X1 @ frac )
        @ ^ [X1: $i] : ( lessf @ X0 @ ( n_pf @ X0 @ X1 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DiNgQQwvvR/Vampire---4.8_5281',satz60a) ).

thf(f1471,plain,
    ( $true
    = ( all_of
      @ ^ [Y0: $i] : ( in @ Y0 @ frac )
      @ ^ [Y0: $i] :
          ( all_of
          @ ^ [Y1: $i] : ( in @ Y1 @ frac )
          @ ^ [Y1: $i] :
              ( l_some @ nat
              @ ^ [Y2: $i] :
                  ( ( n_ts @ ( num @ ( n_fr @ ( n_pl @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) @ ( n_ts @ ( den @ Y0 ) @ ( den @ Y1 ) ) ) ) @ ( den @ Y0 ) )
                  = ( n_pl @ ( n_ts @ ( num @ Y0 ) @ ( den @ ( n_fr @ ( n_pl @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) @ ( n_ts @ ( den @ Y0 ) @ ( den @ Y1 ) ) ) ) ) @ Y2 ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f1297]) ).

thf(f1297,plain,
    ( $true
    = ( all_of
      @ ^ [Y0: $i] : ( in @ Y0 @ frac )
      @ ^ [Y0: $i] :
          ( all_of
          @ ^ [Y1: $i] : ( in @ Y1 @ frac )
          @ ^ [Y1: $i] :
              ( ^ [Y2: $i,Y3: $i] :
                  ( ^ [Y4: $i,Y5: $i] :
                      ( l_some @ nat
                      @ ( ^ [Y6: $i,Y7: $i,Y8: $i] :
                            ( ^ [Y9: $i,Y10: $i,Y11: $i] : ( Y10 = Y11 )
                            @ nat
                            @ Y6
                            @ ( n_pl @ Y7 @ Y8 ) )
                        @ Y4
                        @ Y5 ) )
                  @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y3 ) )
                  @ ( n_ts @ ( num @ Y3 ) @ ( den @ Y2 ) ) )
              @ ( ^ [Y2: $i,Y3: $i] : ( n_fr @ ( n_pl @ ( n_ts @ ( num @ Y2 ) @ ( den @ Y3 ) ) @ ( n_ts @ ( num @ Y3 ) @ ( den @ Y2 ) ) ) @ ( n_ts @ ( den @ Y2 ) @ ( den @ Y3 ) ) )
                @ Y0
                @ Y1 )
              @ Y0 ) ) ) ),
    inference(definition_unfolding,[],[f1088,f1269,f1097]) ).

thf(f1269,plain,
    ( moref
    = ( ^ [Y0: $i,Y1: $i] :
          ( ^ [Y2: $i,Y3: $i] :
              ( l_some @ nat
              @ ( ^ [Y4: $i,Y5: $i,Y6: $i] :
                    ( ^ [Y7: $i,Y8: $i,Y9: $i] : ( Y8 = Y9 )
                    @ nat
                    @ Y4
                    @ ( n_pl @ Y5 @ Y6 ) )
                @ Y2
                @ Y3 ) )
          @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) )
          @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ),
    inference(definition_unfolding,[],[f1120,f1260]) ).

thf(f1260,plain,
    ( d_29_ii
    = ( ^ [Y0: $i,Y1: $i] :
          ( l_some @ nat
          @ ( ^ [Y2: $i,Y3: $i,Y4: $i] :
                ( ^ [Y5: $i,Y6: $i,Y7: $i] : ( Y6 = Y7 )
                @ nat
                @ Y2
                @ ( n_pl @ Y3 @ Y4 ) )
            @ Y0
            @ Y1 ) ) ) ),
    inference(definition_unfolding,[],[f1211,f1116,f1259]) ).

thf(f1211,plain,
    ( d_29_ii
    = ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f644]) ).

thf(f644,plain,
    ( d_29_ii
    = ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f205]) ).

thf(f205,axiom,
    ( d_29_ii
    = ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X0 @ X1 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DiNgQQwvvR/Vampire---4.8_5281',def_d_29_ii) ).

thf(f1120,plain,
    ( moref
    = ( ^ [Y0: $i,Y1: $i] : ( d_29_ii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f944]) ).

thf(f944,plain,
    ( moref
    = ( ^ [Y0: $i,Y1: $i] : ( d_29_ii @ ( n_ts @ ( num @ Y0 ) @ ( den @ Y1 ) ) @ ( n_ts @ ( num @ Y1 ) @ ( den @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f365]) ).

thf(f365,axiom,
    ( ( ^ [X0: $i,X1: $i] : ( d_29_ii @ ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) )
    = moref ),
    file('/export/starexec/sandbox/tmp/tmp.DiNgQQwvvR/Vampire---4.8_5281',def_moref) ).

thf(f1088,plain,
    ( ( all_of
      @ ^ [Y0: $i] : ( in @ Y0 @ frac )
      @ ^ [Y0: $i] :
          ( all_of
          @ ^ [Y1: $i] : ( in @ Y1 @ frac )
          @ ^ [Y1: $i] : ( moref @ ( n_pf @ Y0 @ Y1 ) @ Y0 ) ) )
    = $true ),
    inference(cnf_transformation,[],[f423]) ).

thf(f423,plain,
    ( ( all_of
      @ ^ [Y0: $i] : ( in @ Y0 @ frac )
      @ ^ [Y0: $i] :
          ( all_of
          @ ^ [Y1: $i] : ( in @ Y1 @ frac )
          @ ^ [Y1: $i] : ( moref @ ( n_pf @ Y0 @ Y1 ) @ Y0 ) ) )
    = $true ),
    inference(fool_elimination,[],[f422]) ).

thf(f422,plain,
    ( all_of
    @ ^ [X0: $i] : ( in @ X0 @ frac )
    @ ^ [X1: $i] :
        ( all_of
        @ ^ [X2: $i] : ( in @ X2 @ frac )
        @ ^ [X3: $i] : ( moref @ ( n_pf @ X1 @ X3 ) @ X1 ) ) ),
    inference(rectify,[],[f403]) ).

thf(f403,axiom,
    ( all_of
    @ ^ [X0: $i] : ( in @ X0 @ frac )
    @ ^ [X0: $i] :
        ( all_of
        @ ^ [X1: $i] : ( in @ X1 @ frac )
        @ ^ [X1: $i] : ( moref @ ( n_pf @ X0 @ X1 ) @ X0 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DiNgQQwvvR/Vampire---4.8_5281',satz60) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM749^4 : TPTP v8.1.2. Released v7.1.0.
% 0.03/0.14  % 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
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 15:04:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_EQU_NAR problem
% 0.14/0.35  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.DiNgQQwvvR/Vampire---4.8_5281
% 0.21/0.40  % (5394)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)
% 0.21/0.40  % (5398)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)
% 0.21/0.40  % (5396)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.40  % (5395)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)
% 0.21/0.40  % (5397)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)
% 0.21/0.40  % (5399)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.40  % (5396)Instruction limit reached!
% 0.21/0.40  % (5396)------------------------------
% 0.21/0.40  % (5396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (5396)Termination reason: Unknown
% 0.21/0.40  % (5396)Termination phase: shuffling
% 0.21/0.40  
% 0.21/0.40  % (5396)Memory used [KB]: 1535
% 0.21/0.40  % (5396)Time elapsed: 0.004 s
% 0.21/0.40  % (5397)Instruction limit reached!
% 0.21/0.40  % (5397)------------------------------
% 0.21/0.40  % (5397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (5397)Termination reason: Unknown
% 0.21/0.40  % (5397)Termination phase: shuffling
% 0.21/0.40  
% 0.21/0.40  % (5397)Memory used [KB]: 1535
% 0.21/0.40  % (5397)Time elapsed: 0.004 s
% 0.21/0.40  % (5397)Instructions burned: 3 (million)
% 0.21/0.40  % (5397)------------------------------
% 0.21/0.40  % (5397)------------------------------
% 0.21/0.40  % (5396)Instructions burned: 3 (million)
% 0.21/0.40  % (5396)------------------------------
% 0.21/0.40  % (5396)------------------------------
% 0.21/0.40  % (5394)Instruction limit reached!
% 0.21/0.40  % (5394)------------------------------
% 0.21/0.40  % (5394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (5394)Termination reason: Unknown
% 0.21/0.40  % (5394)Termination phase: shuffling
% 0.21/0.40  
% 0.21/0.40  % (5394)Memory used [KB]: 1535
% 0.21/0.40  % (5394)Time elapsed: 0.004 s
% 0.21/0.40  % (5394)Instructions burned: 4 (million)
% 0.21/0.40  % (5394)------------------------------
% 0.21/0.40  % (5394)------------------------------
% 0.21/0.40  % (5400)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)
% 0.21/0.40  % (5400)Instruction limit reached!
% 0.21/0.40  % (5400)------------------------------
% 0.21/0.40  % (5400)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (5400)Termination reason: Unknown
% 0.21/0.40  % (5400)Termination phase: shuffling
% 0.21/0.40  
% 0.21/0.40  % (5400)Memory used [KB]: 1535
% 0.21/0.40  % (5400)Time elapsed: 0.004 s
% 0.21/0.40  % (5400)Instructions burned: 3 (million)
% 0.21/0.40  % (5400)------------------------------
% 0.21/0.40  % (5400)------------------------------
% 0.21/0.41  % (5399)Instruction limit reached!
% 0.21/0.41  % (5399)------------------------------
% 0.21/0.41  % (5399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (5399)Termination reason: Unknown
% 0.21/0.41  % (5399)Termination phase: shuffling
% 0.21/0.41  
% 0.21/0.41  % (5399)Memory used [KB]: 1791
% 0.21/0.41  % (5399)Time elapsed: 0.012 s
% 0.21/0.41  % (5399)Instructions burned: 19 (million)
% 0.21/0.41  % (5399)------------------------------
% 0.21/0.41  % (5399)------------------------------
% 0.21/0.41  % (5405)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.21/0.41  % (5393)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)
% 0.21/0.42  % (5395)Instruction limit reached!
% 0.21/0.42  % (5395)------------------------------
% 0.21/0.42  % (5395)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (5395)Termination reason: Unknown
% 0.21/0.42  % (5395)Termination phase: shuffling
% 0.21/0.42  
% 0.21/0.42  % (5395)Memory used [KB]: 1918
% 0.21/0.42  % (5395)Time elapsed: 0.018 s
% 0.21/0.42  % (5395)Instructions burned: 28 (million)
% 0.21/0.42  % (5395)------------------------------
% 0.21/0.42  % (5395)------------------------------
% 0.21/0.42  % (5407)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.21/0.42  % (5409)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.21/0.42  % (5408)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.42  % (5408)Instruction limit reached!
% 0.21/0.42  % (5408)------------------------------
% 0.21/0.42  % (5408)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (5408)Termination reason: Unknown
% 0.21/0.42  % (5408)Termination phase: shuffling
% 0.21/0.42  
% 0.21/0.42  % (5408)Memory used [KB]: 1535
% 0.21/0.42  % (5408)Time elapsed: 0.004 s
% 0.21/0.42  % (5408)Instructions burned: 3 (million)
% 0.21/0.42  % (5408)------------------------------
% 0.21/0.42  % (5408)------------------------------
% 0.21/0.42  % (5405)Instruction limit reached!
% 0.21/0.42  % (5405)------------------------------
% 0.21/0.42  % (5405)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (5405)Termination reason: Unknown
% 0.21/0.42  % (5405)Termination phase: shuffling
% 0.21/0.42  
% 0.21/0.42  % (5405)Memory used [KB]: 2174
% 0.21/0.42  % (5405)Time elapsed: 0.014 s
% 0.21/0.42  % (5405)Instructions burned: 39 (million)
% 0.21/0.42  % (5405)------------------------------
% 0.21/0.42  % (5405)------------------------------
% 0.21/0.43  % (5413)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.43  % (5407)Instruction limit reached!
% 0.21/0.43  % (5407)------------------------------
% 0.21/0.43  % (5407)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (5407)Termination reason: Unknown
% 0.21/0.43  % (5407)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (5407)Memory used [KB]: 1791
% 0.21/0.43  % (5407)Time elapsed: 0.010 s
% 0.21/0.43  % (5407)Instructions burned: 15 (million)
% 0.21/0.43  % (5407)------------------------------
% 0.21/0.43  % (5407)------------------------------
% 0.21/0.43  % (5413)Instruction limit reached!
% 0.21/0.43  % (5413)------------------------------
% 0.21/0.43  % (5413)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (5413)Termination reason: Unknown
% 0.21/0.43  % (5413)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (5413)Memory used [KB]: 1663
% 0.21/0.43  % (5413)Time elapsed: 0.006 s
% 0.21/0.43  % (5413)Instructions burned: 7 (million)
% 0.21/0.43  % (5413)------------------------------
% 0.21/0.43  % (5413)------------------------------
% 0.21/0.43  % (5415)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.21/0.43  % (5420)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 Vampire---4 for (2999ds/3Mi)
% 0.21/0.43  % (5420)Instruction limit reached!
% 0.21/0.43  % (5420)------------------------------
% 0.21/0.43  % (5420)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (5420)Termination reason: Unknown
% 0.21/0.43  % (5420)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (5420)Memory used [KB]: 1535
% 0.21/0.43  % (5420)Time elapsed: 0.003 s
% 0.21/0.43  % (5420)Instructions burned: 6 (million)
% 0.21/0.43  % (5420)------------------------------
% 0.21/0.43  % (5420)------------------------------
% 0.21/0.44  % (5418)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 Vampire---4 for (2999ds/3Mi)
% 0.21/0.44  % (5418)Instruction limit reached!
% 0.21/0.44  % (5418)------------------------------
% 0.21/0.44  % (5418)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (5418)Termination reason: Unknown
% 0.21/0.44  % (5418)Termination phase: shuffling
% 0.21/0.44  
% 0.21/0.44  % (5418)Memory used [KB]: 1535
% 0.21/0.44  % (5418)Time elapsed: 0.004 s
% 0.21/0.44  % (5418)Instructions burned: 4 (million)
% 0.21/0.44  % (5418)------------------------------
% 0.21/0.44  % (5418)------------------------------
% 0.21/0.44  % (5415)Instruction limit reached!
% 0.21/0.44  % (5415)------------------------------
% 0.21/0.44  % (5415)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (5415)Termination reason: Unknown
% 0.21/0.44  % (5415)Termination phase: shuffling
% 0.21/0.44  
% 0.21/0.44  % (5415)Memory used [KB]: 1791
% 0.21/0.44  % (5415)Time elapsed: 0.011 s
% 0.21/0.44  % (5415)Instructions burned: 17 (million)
% 0.21/0.44  % (5415)------------------------------
% 0.21/0.44  % (5415)------------------------------
% 0.21/0.44  % (5426)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.21/0.44  % (5421)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.44  % (5426)Instruction limit reached!
% 0.21/0.44  % (5426)------------------------------
% 0.21/0.44  % (5426)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (5426)Termination reason: Unknown
% 0.21/0.44  % (5426)Termination phase: shuffling
% 0.21/0.44  
% 0.21/0.44  % (5426)Memory used [KB]: 1535
% 0.21/0.44  % (5426)Time elapsed: 0.003 s
% 0.21/0.44  % (5426)Instructions burned: 5 (million)
% 0.21/0.44  % (5426)------------------------------
% 0.21/0.44  % (5426)------------------------------
% 0.21/0.45  % (5421)Instruction limit reached!
% 0.21/0.45  % (5421)------------------------------
% 0.21/0.45  % (5421)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (5421)Termination reason: Unknown
% 0.21/0.45  % (5421)Termination phase: shuffling
% 0.21/0.45  
% 0.21/0.45  % (5421)Memory used [KB]: 1663
% 0.21/0.45  % (5421)Time elapsed: 0.006 s
% 0.21/0.45  % (5421)Instructions burned: 8 (million)
% 0.21/0.45  % (5421)------------------------------
% 0.21/0.45  % (5421)------------------------------
% 0.21/0.45  % (5398)Refutation not found, incomplete strategy
% 0.21/0.45  % (5398)------------------------------
% 0.21/0.45  % (5398)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (5398)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  % (5398)Memory used [KB]: 6780
% 0.21/0.45  % (5398)Time elapsed: 0.051 s
% 0.21/0.45  % (5398)Instructions burned: 92 (million)
% 0.21/0.45  % (5398)------------------------------
% 0.21/0.45  % (5398)------------------------------
% 0.21/0.45  % (5430)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.45  % (5425)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.45  % (5430)Instruction limit reached!
% 0.21/0.45  % (5430)------------------------------
% 0.21/0.45  % (5430)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (5430)Termination reason: Unknown
% 0.21/0.45  % (5430)Termination phase: shuffling
% 0.21/0.45  
% 0.21/0.45  % (5430)Memory used [KB]: 1663
% 0.21/0.45  % (5430)Time elapsed: 0.003 s
% 0.21/0.45  % (5430)Instructions burned: 6 (million)
% 0.21/0.45  % (5430)------------------------------
% 0.21/0.45  % (5430)------------------------------
% 0.21/0.45  % (5427)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.45  % (5425)Instruction limit reached!
% 0.21/0.45  % (5425)------------------------------
% 0.21/0.45  % (5425)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (5425)Termination reason: Unknown
% 0.21/0.45  % (5425)Termination phase: shuffling
% 0.21/0.45  
% 0.21/0.45  % (5425)Memory used [KB]: 1535
% 0.21/0.45  % (5425)Time elapsed: 0.004 s
% 0.21/0.45  % (5425)Instructions burned: 4 (million)
% 0.21/0.45  % (5425)------------------------------
% 0.21/0.45  % (5425)------------------------------
% 0.21/0.45  % (5429)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.21/0.46  % (5436)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.21/0.46  % (5434)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 Vampire---4 for (2999ds/902Mi)
% 0.21/0.46  % (5436)Instruction limit reached!
% 0.21/0.46  % (5436)------------------------------
% 0.21/0.46  % (5436)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (5436)Termination reason: Unknown
% 0.21/0.46  % (5436)Termination phase: shuffling
% 0.21/0.46  
% 0.21/0.46  % (5436)Memory used [KB]: 1663
% 0.21/0.46  % (5436)Time elapsed: 0.003 s
% 0.21/0.46  % (5436)Instructions burned: 6 (million)
% 0.21/0.46  % (5436)------------------------------
% 0.21/0.46  % (5436)------------------------------
% 0.21/0.46  % (5427)Instruction limit reached!
% 0.21/0.46  % (5427)------------------------------
% 0.21/0.46  % (5427)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (5427)Termination reason: Unknown
% 0.21/0.46  % (5427)Termination phase: shuffling
% 0.21/0.46  
% 0.21/0.46  % (5427)Memory used [KB]: 1791
% 0.21/0.46  % (5427)Time elapsed: 0.012 s
% 0.21/0.46  % (5427)Instructions burned: 19 (million)
% 0.21/0.46  % (5427)------------------------------
% 0.21/0.46  % (5427)------------------------------
% 0.21/0.47  % (5435)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 Vampire---4 for (2999ds/21Mi)
% 0.21/0.47  % (5437)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 Vampire---4 for (2999ds/6Mi)
% 0.21/0.47  % (5441)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on Vampire---4 for (2998ds/779Mi)
% 0.21/0.47  % (5437)Instruction limit reached!
% 0.21/0.47  % (5437)------------------------------
% 0.21/0.47  % (5437)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47  % (5437)Termination reason: Unknown
% 0.21/0.47  % (5437)Termination phase: shuffling
% 0.21/0.47  
% 0.21/0.47  % (5437)Memory used [KB]: 1663
% 0.21/0.47  % (5437)Time elapsed: 0.006 s
% 0.21/0.47  % (5437)Instructions burned: 7 (million)
% 0.21/0.47  % (5437)------------------------------
% 0.21/0.47  % (5437)------------------------------
% 0.21/0.48  % (5440)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2998ds/377Mi)
% 0.21/0.48  % (5444)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (2998ds/19Mi)
% 0.21/0.48  % (5435)Instruction limit reached!
% 0.21/0.48  % (5435)------------------------------
% 0.21/0.48  % (5435)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48  % (5435)Termination reason: Unknown
% 0.21/0.48  % (5435)Termination phase: shuffling
% 0.21/0.48  
% 0.21/0.48  % (5435)Memory used [KB]: 1791
% 0.21/0.48  % (5435)Time elapsed: 0.016 s
% 0.21/0.48  % (5435)Instructions burned: 22 (million)
% 0.21/0.48  % (5435)------------------------------
% 0.21/0.48  % (5435)------------------------------
% 0.21/0.49  % (5444)Instruction limit reached!
% 0.21/0.49  % (5444)------------------------------
% 0.21/0.49  % (5444)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49  % (5444)Termination reason: Unknown
% 0.21/0.49  % (5444)Termination phase: shuffling
% 0.21/0.49  
% 0.21/0.49  % (5444)Memory used [KB]: 1918
% 0.21/0.49  % (5444)Time elapsed: 0.008 s
% 0.21/0.49  % (5444)Instructions burned: 21 (million)
% 0.21/0.49  % (5444)------------------------------
% 0.21/0.49  % (5444)------------------------------
% 0.21/0.50  % (5393)Instruction limit reached!
% 0.21/0.50  % (5393)------------------------------
% 0.21/0.50  % (5393)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50  % (5393)Termination reason: Unknown
% 0.21/0.50  % (5393)Termination phase: Function definition elimination
% 0.21/0.50  
% 0.21/0.50  % (5393)Memory used [KB]: 2558
% 0.21/0.50  % (5393)Time elapsed: 0.086 s
% 0.21/0.50  % (5393)Instructions burned: 186 (million)
% 0.21/0.50  % (5393)------------------------------
% 0.21/0.50  % (5393)------------------------------
% 0.21/0.50  % (5448)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 0.21/0.50  % (5447)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2998ds/879Mi)
% 0.21/0.50  % (5448)Instruction limit reached!
% 0.21/0.50  % (5448)------------------------------
% 0.21/0.50  % (5448)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50  % (5448)Termination reason: Unknown
% 0.21/0.50  % (5448)Termination phase: shuffling
% 0.21/0.50  
% 0.21/0.50  % (5448)Memory used [KB]: 1791
% 0.21/0.50  % (5448)Time elapsed: 0.007 s
% 0.21/0.50  % (5448)Instructions burned: 19 (million)
% 0.21/0.50  % (5448)------------------------------
% 0.21/0.50  % (5448)------------------------------
% 0.21/0.51  % (5449)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.21/0.51  % (5450)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.21/0.51  % (5449)Instruction limit reached!
% 0.21/0.51  % (5449)------------------------------
% 0.21/0.51  % (5449)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51  % (5449)Termination reason: Unknown
% 0.21/0.51  % (5449)Termination phase: shuffling
% 0.21/0.51  
% 0.21/0.51  % (5449)Memory used [KB]: 1535
% 0.21/0.51  % (5449)Time elapsed: 0.003 s
% 0.21/0.51  % (5449)Instructions burned: 3 (million)
% 0.21/0.51  % (5449)------------------------------
% 0.21/0.51  % (5449)------------------------------
% 0.21/0.52  % (5450)Instruction limit reached!
% 0.21/0.52  % (5450)------------------------------
% 0.21/0.52  % (5450)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52  % (5450)Termination reason: Unknown
% 0.21/0.52  % (5450)Termination phase: shuffling
% 0.21/0.52  
% 0.21/0.52  % (5450)Memory used [KB]: 1918
% 0.21/0.52  % (5450)Time elapsed: 0.010 s
% 0.21/0.52  % (5450)Instructions burned: 30 (million)
% 0.21/0.52  % (5450)------------------------------
% 0.21/0.52  % (5450)------------------------------
% 0.21/0.52  % (5451)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.21/0.53  % (5434)Refutation not found, incomplete strategy
% 0.21/0.53  % (5434)------------------------------
% 0.21/0.53  % (5434)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53  % (5434)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  % (5434)Memory used [KB]: 7164
% 0.21/0.53  % (5434)Time elapsed: 0.066 s
% 0.21/0.53  % (5434)Instructions burned: 172 (million)
% 0.21/0.53  % (5434)------------------------------
% 0.21/0.53  % (5434)------------------------------
% 0.21/0.53  % (5452)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 0.21/0.53  % (5453)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.21/0.54  % (5453)Instruction limit reached!
% 0.21/0.54  % (5453)------------------------------
% 0.21/0.54  % (5453)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54  % (5453)Termination reason: Unknown
% 0.21/0.54  % (5453)Termination phase: shuffling
% 0.21/0.54  
% 0.21/0.54  % (5453)Memory used [KB]: 1535
% 0.21/0.54  % (5453)Time elapsed: 0.002 s
% 0.21/0.54  % (5453)Instructions burned: 3 (million)
% 0.21/0.54  % (5453)------------------------------
% 0.21/0.54  % (5453)------------------------------
% 0.21/0.54  % (5454)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on Vampire---4 for (2998ds/20Mi)
% 1.36/0.55  % (5454)Instruction limit reached!
% 1.36/0.55  % (5454)------------------------------
% 1.36/0.55  % (5454)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.55  % (5454)Termination reason: Unknown
% 1.36/0.55  % (5454)Termination phase: shuffling
% 1.36/0.55  
% 1.36/0.55  % (5454)Memory used [KB]: 1791
% 1.36/0.55  % (5454)Time elapsed: 0.008 s
% 1.36/0.55  % (5454)Instructions burned: 23 (million)
% 1.36/0.55  % (5454)------------------------------
% 1.36/0.55  % (5454)------------------------------
% 1.36/0.56  % (5452)Instruction limit reached!
% 1.36/0.56  % (5452)------------------------------
% 1.36/0.56  % (5452)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.56  % (5452)Termination reason: Unknown
% 1.36/0.56  % (5452)Termination phase: Property scanning
% 1.36/0.56  
% 1.36/0.56  % (5452)Memory used [KB]: 2430
% 1.36/0.56  % (5452)Time elapsed: 0.029 s
% 1.36/0.56  % (5452)Instructions burned: 103 (million)
% 1.36/0.56  % (5452)------------------------------
% 1.36/0.56  % (5452)------------------------------
% 1.36/0.56  % (5451)Instruction limit reached!
% 1.36/0.56  % (5451)------------------------------
% 1.36/0.56  % (5451)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.56  % (5451)Termination reason: Unknown
% 1.36/0.56  % (5451)Termination phase: Function definition elimination
% 1.36/0.56  
% 1.36/0.56  % (5451)Memory used [KB]: 2430
% 1.36/0.56  % (5451)Time elapsed: 0.037 s
% 1.36/0.56  % (5451)Instructions burned: 127 (million)
% 1.36/0.56  % (5451)------------------------------
% 1.36/0.56  % (5451)------------------------------
% 1.36/0.56  % (5455)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (2998ds/86Mi)
% 1.36/0.56  % (5440)Instruction limit reached!
% 1.36/0.56  % (5440)------------------------------
% 1.36/0.56  % (5440)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.56  % (5440)Termination reason: Unknown
% 1.36/0.56  % (5440)Termination phase: Function definition elimination
% 1.36/0.56  
% 1.36/0.56  % (5440)Memory used [KB]: 2558
% 1.36/0.56  % (5440)Time elapsed: 0.088 s
% 1.36/0.56  % (5440)Instructions burned: 379 (million)
% 1.36/0.56  % (5440)------------------------------
% 1.36/0.56  % (5440)------------------------------
% 1.36/0.57  % (5456)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2998ds/107Mi)
% 1.36/0.57  % (5457)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on Vampire---4 for (2998ds/39Mi)
% 1.57/0.57  % (5447)Refutation not found, incomplete strategy
% 1.57/0.57  % (5447)------------------------------
% 1.57/0.57  % (5447)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.57/0.57  % (5447)Termination reason: Refutation not found, incomplete strategy
% 1.57/0.57  
% 1.57/0.57  
% 1.57/0.57  % (5447)Memory used [KB]: 7036
% 1.57/0.57  % (5447)Time elapsed: 0.060 s
% 1.57/0.57  % (5447)Instructions burned: 157 (million)
% 1.57/0.57  % (5447)------------------------------
% 1.57/0.57  % (5447)------------------------------
% 1.57/0.57  % (5458)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (2998ds/448Mi)
% 1.57/0.58  % (5459)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on Vampire---4 for (2997ds/46Mi)
% 1.57/0.58  % (5457)Instruction limit reached!
% 1.57/0.58  % (5457)------------------------------
% 1.57/0.58  % (5457)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.57/0.58  % (5457)Termination reason: Unknown
% 1.57/0.58  % (5457)Termination phase: shuffling
% 1.57/0.58  
% 1.57/0.58  % (5457)Memory used [KB]: 2302
% 1.57/0.58  % (5457)Time elapsed: 0.013 s
% 1.57/0.58  % (5457)Instructions burned: 42 (million)
% 1.57/0.58  % (5457)------------------------------
% 1.57/0.58  % (5457)------------------------------
% 1.57/0.58  % (5455)Instruction limit reached!
% 1.57/0.58  % (5455)------------------------------
% 1.57/0.58  % (5455)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.57/0.58  % (5455)Termination reason: Unknown
% 1.57/0.58  % (5455)Termination phase: Property scanning
% 1.57/0.58  
% 1.57/0.58  % (5455)Memory used [KB]: 2430
% 1.57/0.58  % (5455)Time elapsed: 0.026 s
% 1.57/0.58  % (5455)Instructions burned: 88 (million)
% 1.57/0.58  % (5455)------------------------------
% 1.57/0.58  % (5455)------------------------------
% 1.57/0.59  % (5460)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on Vampire---4 for (2997ds/98Mi)
% 1.57/0.59  % (5459)Instruction limit reached!
% 1.57/0.59  % (5459)------------------------------
% 1.57/0.59  % (5459)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.57/0.59  % (5459)Termination reason: Unknown
% 1.57/0.59  % (5459)Termination phase: shuffling
% 1.57/0.59  
% 1.57/0.59  % (5459)Memory used [KB]: 2174
% 1.57/0.59  % (5459)Time elapsed: 0.015 s
% 1.57/0.59  % (5459)Instructions burned: 46 (million)
% 1.57/0.59  % (5459)------------------------------
% 1.57/0.59  % (5459)------------------------------
% 1.57/0.59  % (5461)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on Vampire---4 for (2997ds/507Mi)
% 1.57/0.60  % (5456)Instruction limit reached!
% 1.57/0.60  % (5456)------------------------------
% 1.57/0.60  % (5456)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.57/0.60  % (5456)Termination reason: Unknown
% 1.57/0.60  % (5456)Termination phase: Property scanning
% 1.57/0.60  
% 1.57/0.60  % (5456)Memory used [KB]: 2302
% 1.57/0.60  % (5456)Time elapsed: 0.031 s
% 1.57/0.60  % (5456)Instructions burned: 107 (million)
% 1.57/0.60  % (5456)------------------------------
% 1.57/0.60  % (5456)------------------------------
% 1.57/0.60  % (5462)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on Vampire---4 for (2997ds/149Mi)
% 1.57/0.60  % (5463)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2997ds/39Mi)
% 1.57/0.61  % (5460)Instruction limit reached!
% 1.57/0.61  % (5460)------------------------------
% 1.57/0.61  % (5460)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.57/0.61  % (5460)Termination reason: Unknown
% 1.57/0.61  % (5460)Termination phase: Property scanning
% 1.57/0.61  
% 1.57/0.61  % (5460)Memory used [KB]: 2430
% 1.57/0.61  % (5460)Time elapsed: 0.028 s
% 1.57/0.61  % (5460)Instructions burned: 99 (million)
% 1.57/0.61  % (5460)------------------------------
% 1.57/0.61  % (5460)------------------------------
% 1.57/0.62  % (5463)Instruction limit reached!
% 1.57/0.62  % (5463)------------------------------
% 1.57/0.62  % (5463)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.57/0.62  % (5463)Termination reason: Unknown
% 1.57/0.62  % (5463)Termination phase: shuffling
% 1.57/0.62  
% 1.57/0.62  % (5463)Memory used [KB]: 2174
% 1.57/0.62  % (5463)Time elapsed: 0.013 s
% 1.57/0.62  % (5463)Instructions burned: 39 (million)
% 1.57/0.62  % (5463)------------------------------
% 1.57/0.62  % (5463)------------------------------
% 1.57/0.62  % (5409)Instruction limit reached!
% 1.57/0.62  % (5409)------------------------------
% 1.57/0.62  % (5409)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.57/0.62  % (5409)Termination reason: Unknown
% 1.57/0.62  % (5409)Termination phase: Function definition elimination
% 1.57/0.62  
% 1.57/0.62  % (5409)Memory used [KB]: 2558
% 1.57/0.62  % (5409)Time elapsed: 0.205 s
% 1.57/0.62  % (5409)Instructions burned: 1043 (million)
% 1.57/0.62  % (5409)------------------------------
% 1.57/0.62  % (5409)------------------------------
% 1.57/0.62  % (5464)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2997ds/6Mi)
% 1.57/0.62  % (5464)Instruction limit reached!
% 1.57/0.62  % (5464)------------------------------
% 1.57/0.62  % (5464)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.57/0.62  % (5464)Termination reason: Unknown
% 1.57/0.62  % (5464)Termination phase: shuffling
% 1.57/0.62  
% 1.57/0.62  % (5464)Memory used [KB]: 1663
% 1.57/0.62  % (5464)Time elapsed: 0.003 s
% 1.57/0.62  % (5464)Instructions burned: 7 (million)
% 1.57/0.62  % (5464)------------------------------
% 1.57/0.62  % (5464)------------------------------
% 1.57/0.63  % (5465)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on Vampire---4 for (2997ds/1087Mi)
% 1.57/0.63  % (5466)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (2997ds/47Mi)
% 1.93/0.63  % (5467)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (2997ds/44Mi)
% 1.93/0.64  % (5462)Instruction limit reached!
% 1.93/0.64  % (5462)------------------------------
% 1.93/0.64  % (5462)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.64  % (5462)Termination reason: Unknown
% 1.93/0.64  % (5462)Termination phase: Function definition elimination
% 1.93/0.64  
% 1.93/0.64  % (5462)Memory used [KB]: 2430
% 1.93/0.64  % (5462)Time elapsed: 0.041 s
% 1.93/0.64  % (5462)Instructions burned: 156 (million)
% 1.93/0.64  % (5462)------------------------------
% 1.93/0.64  % (5462)------------------------------
% 1.93/0.65  % (5466)Instruction limit reached!
% 1.93/0.65  % (5466)------------------------------
% 1.93/0.65  % (5466)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.65  % (5466)Termination reason: Unknown
% 1.93/0.65  % (5466)Termination phase: shuffling
% 1.93/0.65  
% 1.93/0.65  % (5466)Memory used [KB]: 2302
% 1.93/0.65  % (5466)Time elapsed: 0.016 s
% 1.93/0.65  % (5466)Instructions burned: 49 (million)
% 1.93/0.65  % (5466)------------------------------
% 1.93/0.65  % (5466)------------------------------
% 1.93/0.65  % (5467)Instruction limit reached!
% 1.93/0.65  % (5467)------------------------------
% 1.93/0.65  % (5467)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.65  % (5467)Termination reason: Unknown
% 1.93/0.65  % (5467)Termination phase: shuffling
% 1.93/0.65  
% 1.93/0.65  % (5467)Memory used [KB]: 2302
% 1.93/0.65  % (5467)Time elapsed: 0.015 s
% 1.93/0.65  % (5467)Instructions burned: 45 (million)
% 1.93/0.65  % (5467)------------------------------
% 1.93/0.65  % (5467)------------------------------
% 1.93/0.65  % (5471)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on Vampire---4 for (2997ds/432Mi)
% 1.93/0.66  % (5458)First to succeed.
% 1.93/0.66  % (5476)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on Vampire---4 for (2997ds/31Mi)
% 1.93/0.66  % (5458)Refutation found. Thanks to Tanya!
% 1.93/0.66  % SZS status Theorem for Vampire---4
% 1.93/0.66  % SZS output start Proof for Vampire---4
% See solution above
% 1.93/0.66  % (5458)------------------------------
% 1.93/0.66  % (5458)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.66  % (5458)Termination reason: Refutation
% 1.93/0.66  
% 1.93/0.66  % (5458)Memory used [KB]: 7547
% 1.93/0.66  % (5458)Time elapsed: 0.086 s
% 1.93/0.66  % (5458)Instructions burned: 292 (million)
% 1.93/0.66  % (5458)------------------------------
% 1.93/0.66  % (5458)------------------------------
% 1.93/0.66  % (5388)Success in time 0.288 s
% 1.93/0.66  % Vampire---4.8 exiting
%------------------------------------------------------------------------------