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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM694^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:18:35 AM UTC 2026

% Result   : Theorem 3.38s 0.81s
% Output   : Refutation 3.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   58 (  37 unt;   0 typ;   0 def)
%            Number of atoms       :  403 (  67 equ;   0 cnn)
%            Maximal formula atoms :    8 (   6 avg)
%            Number of connectives :  415 (   7   ~;  19   |;   0   &; 339   @)
%                                         (   0 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   27 (  27   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  152 ( 148 usr;   7 con; 0-7 aty)
%                                         (  14  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  112 (  96   ^;  16   !;   0   ?; 112   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    sTfun: ( $tType * $tType ) > $tType ).

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_43,type,
    obvious: $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,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_133,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_134,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_137,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_138,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_139,type,
    vIMP: $o > $o > $o ).

thf(func_def_140,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_141,type,
    vAND: $o > $o > $o ).

thf(func_def_142,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_143,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_144,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_145,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_146,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_147,type,
    vOR: $o > $o > $o ).

thf(func_def_148,type,
    vNOT: $o > $o ).

thf(func_def_149,type,
    db7: 
      !>[X0: $tType] : X0 ).

thf(func_def_150,type,
    sK0: ( $i > $o ) > $i ).

thf(f1,axiom,
    ( ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) )
    = is_of ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_is_of) ).

thf(f2,axiom,
    ( all_of
    = ( ^ [X0: $i > $o,X1: $i > $o] :
        ! [X2: $i] :
          ( ( is_of @ X2 @ X0 )
         => ( X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_all_of) ).

thf(f164,axiom,
    ( is_of @ n_1
    @ ^ [X0: $i] : ( in @ X0 @ nat ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',n_1_p) ).

thf(f218,axiom,
    ( all_of
    @ ^ [X0: $i] : ( in @ X0 @ nat )
    @ ^ [X0: $i] :
        ( all_of
        @ ^ [X1: $i] : ( in @ X1 @ nat )
        @ ^ [X1: $i] :
            ( ( moreis @ X0 @ X1 )
           => ( lessis @ X1 @ X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz13) ).

thf(f266,axiom,
    ( all_of
    @ ^ [X0: $i] : ( in @ X0 @ nat )
    @ ^ [X0: $i] : ( moreis @ X0 @ n_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz24) ).

thf(f267,conjecture,
    ( all_of
    @ ^ [X0: $i] : ( in @ X0 @ nat )
    @ ( lessis @ n_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz24a) ).

thf(f268,negated_conjecture,
    ~ ( all_of
      @ ^ [X0: $i] : ( in @ X0 @ nat )
      @ ( lessis @ n_1 ) ),
    inference(negated_conjecture,[status(cth)],[f267]) ).

thf(f292,plain,
    ( all_of
    @ ^ [X0: $i] : ( in @ X0 @ nat )
    @ ^ [X1: $i] :
        ( all_of
        @ ^ [X2: $i] : ( in @ X2 @ nat )
        @ ^ [X3: $i] :
            ( ( moreis @ X1 @ X3 )
           => ( lessis @ X3 @ X1 ) ) ) ),
    inference(rectify,[],[f218]) ).

thf(f293,plain,
    ( $true
    = ( all_of
      @ ^ [Y0: $i] : ( in @ Y0 @ nat )
      @ ^ [Y0: $i] :
          ( all_of
          @ ^ [Y1: $i] : ( in @ Y1 @ nat )
          @ ^ [Y1: $i] :
              ( ( moreis @ Y0 @ Y1 )
             => ( lessis @ Y1 @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f292]) ).

thf(f362,plain,
    ~ ( all_of
      @ ^ [X0: $i] : ( in @ X0 @ nat )
      @ ( lessis @ n_1 ) ),
    inference(rectify,[],[f268]) ).

thf(f363,plain,
    ( ( all_of
      @ ^ [Y0: $i] : ( in @ Y0 @ nat )
      @ ( lessis @ n_1 ) )
   != $true ),
    inference(fool_elimination,[],[f362]) ).

thf(f486,plain,
    ( is_of
    = ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f616,plain,
    ( is_of @ n_1
    @ ^ [X0: $i] : ( in @ X0 @ nat ) ),
    inference(rectify,[],[f164]) ).

thf(f617,plain,
    ( $true
    = ( is_of @ n_1
      @ ^ [Y0: $i] : ( in @ Y0 @ nat ) ) ),
    inference(fool_elimination,[],[f616]) ).

thf(f660,plain,
    ( all_of
    = ( ^ [X0: $i > $o,X1: $i > $o] :
        ! [X2: $i] :
          ( ( is_of @ X2 @ X0 )
         => ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f661,plain,
    ( all_of
    = ( ^ [Y0: $i > $o,Y1: $i > $o] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ( is_of @ Y2 @ Y0 )
             => ( Y1 @ Y2 ) ) ) ) ),
    inference(fool_elimination,[],[f660]) ).

thf(f664,plain,
    ( all_of
    @ ^ [X0: $i] : ( in @ X0 @ nat )
    @ ^ [X1: $i] : ( moreis @ X1 @ n_1 ) ),
    inference(rectify,[],[f266]) ).

thf(f665,plain,
    ( $true
    = ( all_of
      @ ^ [Y0: $i] : ( in @ Y0 @ nat )
      @ ^ [Y0: $i] : ( moreis @ Y0 @ n_1 ) ) ),
    inference(fool_elimination,[],[f664]) ).

thf(f710,plain,
    ( ( all_of
      @ ^ [Y0: $i] : ( in @ Y0 @ nat )
      @ ( lessis @ n_1 ) )
   != $true ),
    inference(flattening,[],[f363]) ).

thf(f766,plain,
    ( is_of
    = ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
    inference(cnf_transformation,[],[f486]) ).

thf(f768,plain,
    ( ( all_of
      @ ^ [Y0: $i] : ( in @ Y0 @ nat )
      @ ( lessis @ n_1 ) )
   != $true ),
    inference(cnf_transformation,[],[f710]) ).

thf(f805,plain,
    ( all_of
    = ( ^ [Y0: $i > $o,Y1: $i > $o] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ( is_of @ Y2 @ Y0 )
             => ( Y1 @ Y2 ) ) ) ) ),
    inference(cnf_transformation,[],[f661]) ).

thf(f810,plain,
    ( $true
    = ( all_of
      @ ^ [Y0: $i] : ( in @ Y0 @ nat )
      @ ^ [Y0: $i] : ( moreis @ Y0 @ n_1 ) ) ),
    inference(cnf_transformation,[],[f665]) ).

thf(f834,plain,
    ( $true
    = ( is_of @ n_1
      @ ^ [Y0: $i] : ( in @ Y0 @ nat ) ) ),
    inference(cnf_transformation,[],[f617]) ).

thf(f875,plain,
    ( $true
    = ( all_of
      @ ^ [Y0: $i] : ( in @ Y0 @ nat )
      @ ^ [Y0: $i] :
          ( all_of
          @ ^ [Y1: $i] : ( in @ Y1 @ nat )
          @ ^ [Y1: $i] :
              ( ( moreis @ Y0 @ Y1 )
             => ( lessis @ Y1 @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f293]) ).

thf(f878,plain,
    ( all_of
    = ( ^ [Y0: $i > $o,Y1: $i > $o] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
                @ Y2
                @ Y0 )
             => ( Y1 @ Y2 ) ) ) ) ),
    inference(definition_unfolding,[],[f805,f766]) ).

thf(f898,plain,
    ( $true
   != ( ^ [Y0: $i > $o,Y1: $i > $o] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
                @ Y2
                @ Y0 )
             => ( Y1 @ Y2 ) ) )
      @ ^ [Y0: $i] : ( in @ Y0 @ nat )
      @ ( lessis @ n_1 ) ) ),
    inference(definition_unfolding,[],[f768,f878]) ).

thf(f928,plain,
    ( $true
    = ( ^ [Y0: $i > $o,Y1: $i > $o] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
                @ Y2
                @ Y0 )
             => ( Y1 @ Y2 ) ) )
      @ ^ [Y0: $i] : ( in @ Y0 @ nat )
      @ ^ [Y0: $i] : ( moreis @ Y0 @ n_1 ) ) ),
    inference(definition_unfolding,[],[f810,f878]) ).

thf(f947,plain,
    ( ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 )
      @ n_1
      @ ^ [Y0: $i] : ( in @ Y0 @ nat ) )
    = $true ),
    inference(definition_unfolding,[],[f834,f766]) ).

thf(f973,plain,
    ( ( ^ [Y0: $i > $o,Y1: $i > $o] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
                @ Y2
                @ Y0 )
             => ( Y1 @ Y2 ) ) )
      @ ^ [Y0: $i] : ( in @ Y0 @ nat )
      @ ^ [Y0: $i] :
          ( ^ [Y1: $i > $o,Y2: $i > $o] :
              ( !! @ $i
              @ ^ [Y3: $i] :
                  ( ( ^ [Y4: $i,Y5: $i > $o] : ( Y5 @ Y4 )
                    @ Y3
                    @ Y1 )
                 => ( Y2 @ Y3 ) ) )
          @ ^ [Y1: $i] : ( in @ Y1 @ nat )
          @ ^ [Y1: $i] :
              ( ( moreis @ Y0 @ Y1 )
             => ( lessis @ Y1 @ Y0 ) ) ) )
    = $true ),
    inference(definition_unfolding,[],[f875,f878,f878]) ).

thf(f1042,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( in @ Y0 @ nat )
         => ( moreis @ Y0 @ n_1 ) ) ) ),
    inference(beta-eta_normalization,[],[f928]) ).

thf(f1043,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ( in @ Y0 @ nat )
           => ( moreis @ Y0 @ n_1 ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f1042]) ).

thf(f1044,plain,
    ! [X1: $i] :
      ( ( ( in @ X1 @ nat )
       => ( moreis @ X1 @ n_1 ) )
      = $true ),
    inference(beta-eta_normalization,[],[f1043]) ).

thf(f1045,plain,
    ! [X1: $i] :
      ( ( $true
        = ( moreis @ X1 @ n_1 ) )
      | ( ( in @ X1 @ nat )
        = $false ) ),
    inference(imp_proxy_clausification,[],[f1044]) ).

thf(f1124,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( in @ Y0 @ nat )
         => ( lessis @ n_1 @ Y0 ) ) )
   != $true ),
    inference(beta-eta_normalization,[],[f898]) ).

thf(f1125,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( ( in @ Y0 @ nat )
         => ( lessis @ n_1 @ Y0 ) )
      @ sK1 ) ),
    inference(sigma_proxy_clausification,[],[f1124]) ).

thf(f1126,plain,
    ( ( ( in @ sK1 @ nat )
     => ( lessis @ n_1 @ sK1 ) )
    = $false ),
    inference(beta-eta_normalization,[],[f1125]) ).

thf(f1127,plain,
    ( $false
    = ( lessis @ n_1 @ sK1 ) ),
    inference(imp_proxy_clausification,[],[f1126]) ).

thf(f1128,plain,
    ( ( in @ sK1 @ nat )
    = $true ),
    inference(imp_proxy_clausification,[],[f1126]) ).

thf(f1614,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( in @ Y0 @ nat )
         => ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( in @ Y1 @ nat )
               => ( ( moreis @ Y0 @ Y1 )
                 => ( lessis @ Y1 @ Y0 ) ) ) ) ) )
    = $true ),
    inference(beta-eta_normalization,[],[f973]) ).

thf(f1615,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ( in @ Y0 @ nat )
           => ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ nat )
                 => ( ( moreis @ Y0 @ Y1 )
                   => ( lessis @ Y1 @ Y0 ) ) ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f1614]) ).

thf(f1616,plain,
    ! [X1: $i] :
      ( ( ( in @ X1 @ nat )
       => ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( in @ Y0 @ nat )
             => ( ( moreis @ X1 @ Y0 )
               => ( lessis @ Y0 @ X1 ) ) ) ) )
      = $true ),
    inference(beta-eta_normalization,[],[f1615]) ).

thf(f1617,plain,
    ! [X1: $i] :
      ( ( $true
        = ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( in @ Y0 @ nat )
             => ( ( moreis @ X1 @ Y0 )
               => ( lessis @ Y0 @ X1 ) ) ) ) )
      | ( ( in @ X1 @ nat )
        = $false ) ),
    inference(imp_proxy_clausification,[],[f1616]) ).

thf(f1618,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( in @ X1 @ nat )
        = $false )
      | ( $true
        = ( ^ [Y0: $i] :
              ( ( in @ Y0 @ nat )
             => ( ( moreis @ X1 @ Y0 )
               => ( lessis @ Y0 @ X1 ) ) )
          @ X2 ) ) ),
    inference(pi_proxy_clausification,[],[f1617]) ).

thf(f1619,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( in @ X1 @ nat )
        = $false )
      | ( ( ( in @ X2 @ nat )
         => ( ( moreis @ X1 @ X2 )
           => ( lessis @ X2 @ X1 ) ) )
        = $true ) ),
    inference(beta-eta_normalization,[],[f1618]) ).

thf(f1620,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( ( moreis @ X1 @ X2 )
         => ( lessis @ X2 @ X1 ) )
        = $true )
      | ( ( in @ X1 @ nat )
        = $false )
      | ( ( in @ X2 @ nat )
        = $false ) ),
    inference(imp_proxy_clausification,[],[f1619]) ).

thf(f1621,plain,
    ! [X2: $i,X1: $i] :
      ( ( $true
        = ( lessis @ X2 @ X1 ) )
      | ( ( in @ X2 @ nat )
        = $false )
      | ( ( in @ X1 @ nat )
        = $false )
      | ( ( moreis @ X1 @ X2 )
        = $false ) ),
    inference(imp_proxy_clausification,[],[f1620]) ).

thf(f1665,plain,
    ( ( in @ n_1 @ nat )
    = $true ),
    inference(beta-eta_normalization,[],[f947]) ).

thf(f2011,plain,
    ( ( ( in @ n_1 @ nat )
      = $false )
    | ( $true = $false )
    | ( ( in @ sK1 @ nat )
      = $false )
    | ( $false
      = ( moreis @ sK1 @ n_1 ) ) ),
    inference(superposition,[],[f1621,f1127]) ).

thf(f2016,plain,
    ( ( ( in @ sK1 @ nat )
      = $false )
    | ( ( in @ n_1 @ nat )
      = $false )
    | ( $false
      = ( moreis @ sK1 @ n_1 ) ) ),
    inference(trivial_inequality_removal,[],[f2011]) ).

thf(f2021,plain,
    ( ( ( in @ n_1 @ nat )
      = $false )
    | ( $true = $false )
    | ( $false
      = ( moreis @ sK1 @ n_1 ) ) ),
    inference(forward_demodulation,[],[f2016,f1128]) ).

thf(f2022,plain,
    ( ( $false
      = ( moreis @ sK1 @ n_1 ) )
    | ( ( in @ n_1 @ nat )
      = $false ) ),
    inference(trivial_inequality_removal,[],[f2021]) ).

thf(f2025,plain,
    ( ( $true = $false )
    | ( $false
      = ( moreis @ sK1 @ n_1 ) ) ),
    inference(forward_demodulation,[],[f2022,f1665]) ).

thf(f2026,plain,
    ( $false
    = ( moreis @ sK1 @ n_1 ) ),
    inference(trivial_inequality_removal,[],[f2025]) ).

thf(f2032,plain,
    ( ( ( in @ sK1 @ nat )
      = $false )
    | ( $true = $false ) ),
    inference(superposition,[],[f1045,f2026]) ).

thf(f2034,plain,
    ( ( in @ sK1 @ nat )
    = $false ),
    inference(trivial_inequality_removal,[],[f2032]) ).

thf(f2042,plain,
    $true = $false,
    inference(superposition,[],[f1128,f2034]) ).

thf(f2045,plain,
    $false,
    inference(trivial_inequality_removal,[],[f2042]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM694^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19  % Computer : n006.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Tue Sep 29 12:40:34 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running higher-order theorem proving
% 0.22/0.27  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.42  % (657174)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.53/0.42  % (657179)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2561209928:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.53/0.42  % (657185)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.53/0.42  % (657185)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.53/0.42  % (657180)lrs+10_16_si=on:nwc=1.5:random_seed=499870356:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.53/0.42  % (657181)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3895665232:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.53/0.42  % (657182)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=880481750:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.53/0.42  % (657183)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4068990855:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.53/0.42  % (657184)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2444281705:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.53/0.42  % (657185)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3197243910:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.53/0.42  % (657181)Instruction limit reached! 
% 0.53/0.42  % (657181)------------------------------
% 0.53/0.42  % (657181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.42  % (657181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.42  % (657181)CaDiCaL version: 2.1.3
% 0.53/0.42  % (657181)Termination reason: Instruction limit
% 0.53/0.42  % (657181)Termination phase: shuffling
% 0.53/0.42  % (657181)Time elapsed: 0.002 s
% 0.53/0.42  % (657181)Peak memory usage: 10 MB
% 0.53/0.42  % (657181)Instructions burned: 5 (million)
% 0.53/0.42  % (657183)Instruction limit reached! 
% 0.53/0.42  % (657183)------------------------------
% 0.53/0.42  % (657183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.42  % (657183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.42  % (657183)CaDiCaL version: 2.1.3
% 0.53/0.42  % (657183)Termination reason: Instruction limit
% 0.53/0.42  % (657183)Termination phase: shuffling
% 0.53/0.42  % (657183)Time elapsed: 0.011 s
% 0.53/0.42  % (657183)Peak memory usage: 10 MB
% 0.53/0.42  % (657183)Instructions burned: 24 (million)
% 0.53/0.42  % (657180)Instruction limit reached! 
% 0.53/0.42  % (657180)------------------------------
% 0.53/0.42  % (657180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.42  % (657180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.42  % (657180)CaDiCaL version: 2.1.3
% 0.53/0.42  % (657180)Termination reason: Instruction limit
% 0.53/0.42  % (657180)Termination phase: shuffling
% 0.53/0.42  % (657180)Time elapsed: 0.012 s
% 0.53/0.42  % (657180)Peak memory usage: 10 MB
% 0.53/0.42  % (657180)Instructions burned: 19 (million)
% 0.53/0.42  % (657179)Instruction limit reached! 
% 0.53/0.42  % (657179)------------------------------
% 0.53/0.42  % (657179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.42  % (657179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.42  % (657179)CaDiCaL version: 2.1.3
% 0.53/0.42  % (657179)Termination reason: Instruction limit
% 0.53/0.42  % (657179)Termination phase: Function definition elimination
% 0.53/0.42  % (657179)Time elapsed: 0.020 s
% 0.53/0.42  % (657179)Peak memory usage: 11 MB
% 0.53/0.42  % (657179)Instructions burned: 89 (million)
% 0.53/0.42  % (657196)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2731793921:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.53/0.42  % (657196)Instruction limit reached! 
% 0.53/0.42  % (657196)------------------------------
% 0.53/0.42  % (657196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44  % (657196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44  % (657196)CaDiCaL version: 2.1.3
% 0.53/0.44  % (657196)Termination reason: Instruction limit
% 0.53/0.44  % (657196)Termination phase: shuffling
% 0.53/0.44  % (657196)Time elapsed: 0.003 s
% 0.53/0.44  % (657196)Peak memory usage: 10 MB
% 0.53/0.44  % (657196)Instructions burned: 15 (million)
% 0.53/0.44  % (657195)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.44  % (657195)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1702319613:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.53/0.44  % (657184)Instruction limit reached! 
% 0.53/0.44  % (657184)------------------------------
% 0.53/0.44  % (657184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44  % (657184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44  % (657184)CaDiCaL version: 2.1.3
% 0.53/0.44  % (657184)Termination reason: Instruction limit
% 0.53/0.44  % (657184)Termination phase: Property scanning
% 0.53/0.44  % (657184)Time elapsed: 0.033 s
% 0.53/0.44  % (657184)Peak memory usage: 11 MB
% 0.53/0.44  % (657184)Instructions burned: 76 (million)
% 0.53/0.44  % (657193)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1989515121:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.53/0.44  % (657193)Instruction limit reached! 
% 0.53/0.44  % (657193)------------------------------
% 0.53/0.44  % (657193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44  % (657193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44  % (657193)CaDiCaL version: 2.1.3
% 0.53/0.44  % (657193)Termination reason: Instruction limit
% 0.53/0.44  % (657193)Termination phase: shuffling
% 0.53/0.44  % (657193)Time elapsed: 0.001 s
% 0.53/0.44  % (657193)Peak memory usage: 10 MB
% 0.53/0.44  % (657193)Instructions burned: 2 (million)
% 0.53/0.44  % (657198)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.53/0.44  % (657198)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.44  % (657195)Instruction limit reached! 
% 0.53/0.44  % (657195)------------------------------
% 0.53/0.44  % (657195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44  % (657195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44  % (657195)CaDiCaL version: 2.1.3
% 0.53/0.44  % (657195)Termination reason: Instruction limit
% 0.53/0.44  % (657195)Termination phase: shuffling
% 0.53/0.44  % (657195)Time elapsed: 0.004 s
% 0.53/0.44  % (657195)Peak memory usage: 10 MB
% 0.53/0.44  % (657195)Instructions burned: 9 (million)
% 0.53/0.44  % (657198)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3380931824:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.53/0.44  % (657198)Instruction limit reached! 
% 0.53/0.44  % (657198)------------------------------
% 0.53/0.44  % (657198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44  % (657198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44  % (657198)CaDiCaL version: 2.1.3
% 0.53/0.44  % (657198)Termination reason: Instruction limit
% 0.53/0.44  % (657198)Termination phase: Property scanning
% 0.53/0.44  % (657198)Time elapsed: 0.007 s
% 0.53/0.44  % (657198)Peak memory usage: 10 MB
% 0.53/0.44  % (657198)Instructions burned: 30 (million)
% 0.53/0.44  % (657194)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1634033689:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.53/0.44  % (657194)Instruction limit reached! 
% 0.53/0.44  % (657194)------------------------------
% 0.53/0.44  % (657194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44  % (657194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44  % (657194)CaDiCaL version: 2.1.3
% 0.53/0.44  % (657194)Termination reason: Instruction limit
% 0.53/0.44  % (657194)Termination phase: shuffling
% 0.53/0.44  % (657194)Time elapsed: 0.005 s
% 0.53/0.44  % (657194)Peak memory usage: 10 MB
% 0.53/0.47  % (657194)Instructions burned: 6 (million)
% 0.53/0.47  % (657204)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.53/0.47  % (657201)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2339030080:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.53/0.47  % (657205)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3771492095:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.53/0.47  % (657203)lrs+10_1_si=on:cs=on:random_seed=2490379104:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.53/0.47  % (657204)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2593363154:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.53/0.47  % (657204)Instruction limit reached! 
% 0.53/0.47  % (657204)------------------------------
% 0.53/0.47  % (657204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47  % (657203)Instruction limit reached! 
% 0.53/0.47  % (657203)------------------------------
% 0.53/0.47  % (657203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47  % (657204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47  % (657203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47  % (657204)CaDiCaL version: 2.1.3
% 0.53/0.47  % (657203)CaDiCaL version: 2.1.3
% 0.53/0.47  % (657203)Termination reason: Instruction limit
% 0.53/0.47  % (657203)Termination phase: shuffling
% 0.53/0.47  % (657204)Termination reason: Instruction limit
% 0.53/0.47  % (657204)Termination phase: shuffling
% 0.53/0.47  % (657203)Time elapsed: 0.003 s
% 0.53/0.47  % (657204)Time elapsed: 0.002 s
% 0.53/0.47  % (657203)Peak memory usage: 10 MB
% 0.53/0.47  % (657204)Peak memory usage: 10 MB
% 0.53/0.47  % (657204)Instructions burned: 5 (million)
% 0.53/0.47  % (657203)Instructions burned: 8 (million)
% 0.53/0.47  % (657205)Instruction limit reached! 
% 0.53/0.47  % (657205)------------------------------
% 0.53/0.47  % (657205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47  % (657205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47  % (657205)CaDiCaL version: 2.1.3
% 0.53/0.47  % (657205)Termination reason: Instruction limit
% 0.53/0.47  % (657205)Termination phase: Property scanning
% 0.53/0.47  % (657205)Time elapsed: 0.009 s
% 0.53/0.47  % (657205)Peak memory usage: 10 MB
% 0.53/0.47  % (657205)Instructions burned: 42 (million)
% 0.53/0.47  % (657185)Instruction limit reached! 
% 0.53/0.47  % (657185)------------------------------
% 0.53/0.47  % (657185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47  % (657185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47  % (657185)CaDiCaL version: 2.1.3
% 0.53/0.47  % (657185)Termination reason: Instruction limit
% 0.53/0.47  % (657185)Termination phase: Function definition elimination
% 0.53/0.47  % (657185)Time elapsed: 0.065 s
% 0.53/0.47  % (657185)Peak memory usage: 12 MB
% 0.53/0.47  % (657185)Instructions burned: 160 (million)
% 0.53/0.47  % (657208)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=123618627:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.53/0.47  % (657214)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=648826161:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.53/0.47  % (657213)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=315444076:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.53/0.47  % (657212)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=286937159:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.53/0.47  % (657215)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4230109052:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.53/0.47  % (657213)Instruction limit reached! 
% 0.53/0.47  % (657213)------------------------------
% 0.53/0.47  % (657213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47  % (657213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.52  % (657213)CaDiCaL version: 2.1.3
% 1.40/0.52  % (657213)Termination reason: Instruction limit
% 1.40/0.52  % (657213)Termination phase: shuffling
% 1.40/0.52  % (657213)Time elapsed: 0.007 s
% 1.40/0.52  % (657213)Peak memory usage: 10 MB
% 1.40/0.52  % (657213)Instructions burned: 16 (million)
% 1.40/0.52  % (657201)Instruction limit reached! 
% 1.40/0.52  % (657201)------------------------------
% 1.40/0.52  % (657201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.52  % (657201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.52  % (657201)CaDiCaL version: 2.1.3
% 1.40/0.52  % (657201)Termination reason: Instruction limit
% 1.40/0.52  % (657201)Termination phase: Function definition elimination
% 1.40/0.52  % (657201)Time elapsed: 0.036 s
% 1.40/0.52  % (657201)Peak memory usage: 11 MB
% 1.40/0.52  % (657201)Instructions burned: 87 (million)
% 1.40/0.52  % (657212)Instruction limit reached! 
% 1.40/0.52  % (657212)------------------------------
% 1.40/0.52  % (657212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.52  % (657212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.52  % (657212)CaDiCaL version: 2.1.3
% 1.40/0.52  % (657212)Termination reason: Instruction limit
% 1.40/0.52  % (657212)Termination phase: shuffling
% 1.40/0.52  % (657212)Time elapsed: 0.011 s
% 1.40/0.52  % (657212)Peak memory usage: 10 MB
% 1.40/0.52  % (657212)Instructions burned: 26 (million)
% 1.40/0.52  % (657215)Instruction limit reached! 
% 1.40/0.52  % (657215)------------------------------
% 1.40/0.52  % (657215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.52  % (657215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.52  % (657215)CaDiCaL version: 2.1.3
% 1.40/0.52  % (657215)Termination reason: Instruction limit
% 1.40/0.52  % (657215)Termination phase: shuffling
% 1.40/0.52  % (657215)Time elapsed: 0.006 s
% 1.40/0.52  % (657215)Peak memory usage: 10 MB
% 1.40/0.52  % (657215)Instructions burned: 14 (million)
% 1.40/0.52  % (657208)Refutation not found, incomplete strategy
% 1.40/0.52  % (657208)------------------------------
% 1.40/0.52  % (657208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.52  % (657208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.52  % (657208)CaDiCaL version: 2.1.3
% 1.40/0.52  % (657208)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.52  % (657208)Time elapsed: 0.028 s
% 1.40/0.52  % (657208)Peak memory usage: 13 MB
% 1.40/0.52  % (657208)Instructions burned: 61 (million)
% 1.40/0.52  % (657208)------------------------------
% 1.40/0.52  % (657208)------------------------------
% 1.40/0.52  % (657221)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=234008583:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.40/0.52  % (657221)Instruction limit reached! 
% 1.40/0.52  % (657221)------------------------------
% 1.40/0.52  % (657221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.52  % (657221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.52  % (657221)CaDiCaL version: 2.1.3
% 1.40/0.52  % (657221)Termination reason: Instruction limit
% 1.40/0.52  % (657221)Termination phase: shuffling
% 1.40/0.52  % (657221)Time elapsed: 0.003 s
% 1.40/0.52  % (657221)Peak memory usage: 10 MB
% 1.40/0.52  % (657221)Instructions burned: 5 (million)
% 1.40/0.52  % (657222)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3884975485:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.40/0.52  % (657223)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3331704178:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.40/0.52  % (657224)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=971708375:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.40/0.52  % (657223)Instruction limit reached! 
% 1.40/0.52  % (657223)------------------------------
% 1.40/0.52  % (657223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.52  % (657223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.52  % (657223)CaDiCaL version: 2.1.3
% 1.40/0.52  % (657223)Termination reason: Instruction limit
% 1.40/0.52  % (657223)Termination phase: shuffling
% 1.40/0.52  % (657223)Time elapsed: 0.010 s
% 1.40/0.57  % (657223)Peak memory usage: 10 MB
% 1.40/0.57  % (657223)Instructions burned: 24 (million)
% 1.40/0.57  % (657222)Instruction limit reached! 
% 1.40/0.57  % (657222)------------------------------
% 1.40/0.57  % (657222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.57  % (657222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.57  % (657222)CaDiCaL version: 2.1.3
% 1.40/0.57  % (657222)Termination reason: Instruction limit
% 1.40/0.57  % (657222)Termination phase: Property scanning
% 1.40/0.57  % (657222)Time elapsed: 0.012 s
% 1.40/0.57  % (657222)Peak memory usage: 11 MB
% 1.40/0.57  % (657222)Instructions burned: 27 (million)
% 1.40/0.57  % (657227)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.40/0.57  % (657227)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3336612802:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.40/0.57  % (657225)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.40/0.57  % (657225)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.40/0.57  % (657227)Instruction limit reached! 
% 1.40/0.57  % (657227)------------------------------
% 1.40/0.57  % (657227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.57  % (657227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.57  % (657227)CaDiCaL version: 2.1.3
% 1.40/0.57  % (657227)Termination reason: Instruction limit
% 1.40/0.57  % (657227)Termination phase: shuffling
% 1.40/0.57  % (657227)Time elapsed: 0.004 s
% 1.40/0.57  % (657227)Peak memory usage: 10 MB
% 1.40/0.57  % (657227)Instructions burned: 9 (million)
% 1.40/0.57  % (657224)Instruction limit reached! 
% 1.40/0.57  % (657224)------------------------------
% 1.40/0.57  % (657224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.57  % (657224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.57  % (657224)CaDiCaL version: 2.1.3
% 1.40/0.57  % (657224)Termination reason: Instruction limit
% 1.40/0.57  % (657224)Termination phase: Property scanning
% 1.40/0.57  % (657224)Time elapsed: 0.026 s
% 1.40/0.57  % (657224)Peak memory usage: 11 MB
% 1.40/0.57  % (657224)Instructions burned: 62 (million)
% 1.40/0.57  % (657225)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3680390842:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.40/0.57  % (657231)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1984714140:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.40/0.57  % (657232)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3680348652:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.40/0.57  % (657232)Instruction limit reached! 
% 1.40/0.57  % (657232)------------------------------
% 1.40/0.57  % (657232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.57  % (657232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.57  % (657232)CaDiCaL version: 2.1.3
% 1.40/0.57  % (657232)Termination reason: Instruction limit
% 1.40/0.57  % (657232)Termination phase: shuffling
% 1.40/0.57  % (657232)Time elapsed: 0.003 s
% 1.40/0.57  % (657232)Peak memory usage: 10 MB
% 1.40/0.57  % (657232)Instructions burned: 7 (million)
% 1.40/0.57  % (657225)Instruction limit reached! 
% 1.40/0.57  % (657225)------------------------------
% 1.40/0.57  % (657225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.57  % (657225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.57  % (657225)CaDiCaL version: 2.1.3
% 1.40/0.57  % (657225)Termination reason: Instruction limit
% 1.40/0.57  % (657225)Termination phase: shuffling
% 1.40/0.57  % (657225)Time elapsed: 0.009 s
% 1.40/0.57  % (657225)Peak memory usage: 10 MB
% 1.40/0.57  % (657225)Instructions burned: 15 (million)
% 1.40/0.57  % (657234)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2184890539:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.41/0.64  % (657214)Instruction limit reached! 
% 2.41/0.64  % (657214)------------------------------
% 2.41/0.64  % (657214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64  % (657214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64  % (657214)CaDiCaL version: 2.1.3
% 2.41/0.64  % (657214)Termination reason: Instruction limit
% 2.41/0.64  % (657214)Termination phase: Saturation
% 2.41/0.64  % (657214)Time elapsed: 0.076 s
% 2.41/0.64  % (657214)Peak memory usage: 14 MB
% 2.41/0.64  % (657214)Instructions burned: 330 (million)
% 2.41/0.64  % (657231)Instruction limit reached! 
% 2.41/0.64  % (657231)------------------------------
% 2.41/0.64  % (657231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64  % (657231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64  % (657231)CaDiCaL version: 2.1.3
% 2.41/0.64  % (657231)Termination reason: Instruction limit
% 2.41/0.64  % (657231)Termination phase: Property scanning
% 2.41/0.64  % (657231)Time elapsed: 0.014 s
% 2.41/0.64  % (657231)Peak memory usage: 10 MB
% 2.41/0.64  % (657231)Instructions burned: 32 (million)
% 2.41/0.64  % (657235)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3213821429:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.41/0.64  % (657234)Instruction limit reached! 
% 2.41/0.64  % (657234)------------------------------
% 2.41/0.64  % (657234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64  % (657234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64  % (657234)CaDiCaL version: 2.1.3
% 2.41/0.64  % (657234)Termination reason: Instruction limit
% 2.41/0.64  % (657234)Termination phase: shuffling
% 2.41/0.64  % (657234)Time elapsed: 0.011 s
% 2.41/0.64  % (657234)Peak memory usage: 10 MB
% 2.41/0.64  % (657234)Instructions burned: 25 (million)
% 2.41/0.64  % (657239)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2186977759:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.41/0.64  % (657242)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4244899894:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.41/0.64  % (657235)Instruction limit reached! 
% 2.41/0.64  % (657235)------------------------------
% 2.41/0.64  % (657235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64  % (657235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64  % (657235)CaDiCaL version: 2.1.3
% 2.41/0.64  % (657235)Termination reason: Instruction limit
% 2.41/0.64  % (657235)Termination phase: shuffling
% 2.41/0.64  % (657235)Time elapsed: 0.009 s
% 2.41/0.64  % (657235)Peak memory usage: 10 MB
% 2.41/0.64  % (657235)Instructions burned: 21 (million)
% 2.41/0.64  % (657243)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3872112207:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.41/0.64  % (657245)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.41/0.64  % (657240)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1638149737:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.41/0.64  % (657245)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1439889266:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.41/0.64  % (657248)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3683019270:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.41/0.64  % (657245)Instruction limit reached! 
% 2.41/0.64  % (657245)------------------------------
% 2.41/0.64  % (657245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64  % (657245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64  % (657245)CaDiCaL version: 2.1.3
% 2.41/0.64  % (657245)Termination reason: Instruction limit
% 2.41/0.64  % (657245)Termination phase: shuffling
% 2.41/0.64  % (657245)Time elapsed: 0.003 s
% 2.41/0.64  % (657245)Peak memory usage: 10 MB
% 2.41/0.64  % (657245)Instructions burned: 7 (million)
% 2.41/0.64  % (657243)Instruction limit reached! 
% 2.41/0.64  % (657243)------------------------------
% 2.41/0.64  % (657243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.69  % (657243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.69  % (657243)CaDiCaL version: 2.1.3
% 2.41/0.69  % (657243)Termination reason: Instruction limit
% 2.41/0.69  % (657243)Termination phase: Property scanning
% 2.41/0.69  % (657243)Time elapsed: 0.018 s
% 2.41/0.69  % (657243)Peak memory usage: 10 MB
% 2.41/0.69  % (657243)Instructions burned: 43 (million)
% 2.41/0.69  % (657242)Refutation not found, incomplete strategy
% 2.41/0.69  % (657242)------------------------------
% 2.41/0.69  % (657242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.69  % (657242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.69  % (657242)CaDiCaL version: 2.1.3
% 2.41/0.69  % (657242)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.69  % (657242)Time elapsed: 0.029 s
% 2.41/0.69  % (657242)Peak memory usage: 13 MB
% 2.41/0.69  % (657242)Instructions burned: 120 (million)
% 2.41/0.69  % (657242)------------------------------
% 2.41/0.69  % (657242)------------------------------
% 2.41/0.69  % (657253)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3372596568:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.41/0.69  % (657255)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2240758864:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.41/0.69  % (657254)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.41/0.69  % (657255)Instruction limit reached! 
% 2.41/0.69  % (657255)------------------------------
% 2.41/0.69  % (657255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.69  % (657255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.69  % (657255)CaDiCaL version: 2.1.3
% 2.41/0.69  % (657255)Termination reason: Instruction limit
% 2.41/0.69  % (657255)Termination phase: shuffling
% 2.41/0.69  % (657255)Time elapsed: 0.005 s
% 2.41/0.69  % (657255)Peak memory usage: 10 MB
% 2.41/0.69  % (657255)Instructions burned: 22 (million)
% 2.41/0.69  % (657254)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3499067484:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.41/0.69  % (657254)Instruction limit reached! 
% 2.41/0.69  % (657254)------------------------------
% 2.41/0.69  % (657254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.69  % (657254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.69  % (657254)CaDiCaL version: 2.1.3
% 2.41/0.69  % (657254)Termination reason: Instruction limit
% 2.41/0.69  % (657254)Termination phase: shuffling
% 2.41/0.69  % (657254)Time elapsed: 0.003 s
% 2.41/0.69  % (657254)Peak memory usage: 10 MB
% 2.41/0.69  % (657254)Instructions burned: 6 (million)
% 2.41/0.69  % (657258)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3448666340:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.41/0.69  % (657258)Instruction limit reached! 
% 2.41/0.69  % (657258)------------------------------
% 2.41/0.69  % (657258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.69  % (657258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.69  % (657258)CaDiCaL version: 2.1.3
% 2.41/0.69  % (657258)Termination reason: Instruction limit
% 2.41/0.69  % (657258)Termination phase: shuffling
% 2.41/0.69  % (657258)Time elapsed: 0.004 s
% 2.41/0.69  % (657258)Peak memory usage: 10 MB
% 2.41/0.69  % (657258)Instructions burned: 20 (million)
% 2.41/0.69  % (657260)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2852727920:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.41/0.69  % (657262)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=3348549533:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.41/0.69  % (657240)Instruction limit reached! 
% 2.41/0.69  % (657240)------------------------------
% 2.79/0.76  % (657240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.76  % (657240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.76  % (657240)CaDiCaL version: 2.1.3
% 2.79/0.76  % (657240)Termination reason: Instruction limit
% 2.79/0.76  % (657240)Termination phase: Function definition elimination
% 2.79/0.76  % (657240)Time elapsed: 0.065 s
% 2.79/0.76  % (657240)Peak memory usage: 11 MB
% 2.79/0.76  % (657240)Instructions burned: 143 (million)
% 2.79/0.76  % (657265)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=432867399:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.79/0.76  % (657265)Instruction limit reached! 
% 2.79/0.76  % (657265)------------------------------
% 2.79/0.76  % (657265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.76  % (657265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.76  % (657265)CaDiCaL version: 2.1.3
% 2.79/0.76  % (657265)Termination reason: Instruction limit
% 2.79/0.76  % (657265)Termination phase: Property scanning
% 2.79/0.76  % (657265)Time elapsed: 0.010 s
% 2.79/0.76  % (657265)Peak memory usage: 10 MB
% 2.79/0.76  % (657265)Instructions burned: 46 (million)
% 2.79/0.76  % (657248)Instruction limit reached! 
% 2.79/0.76  % (657248)------------------------------
% 2.79/0.76  % (657248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.76  % (657248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.76  % (657248)CaDiCaL version: 2.1.3
% 2.79/0.76  % (657248)Termination reason: Instruction limit
% 2.79/0.76  % (657248)Termination phase: Saturation
% 2.79/0.76  % (657248)Time elapsed: 0.087 s
% 2.79/0.76  % (657248)Peak memory usage: 13 MB
% 2.79/0.76  % (657248)Instructions burned: 182 (million)
% 2.79/0.76  % (657267)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1356080977:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.79/0.76  % (657253)Instruction limit reached! 
% 2.79/0.76  % (657253)------------------------------
% 2.79/0.76  % (657253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.76  % (657253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.76  % (657253)CaDiCaL version: 2.1.3
% 2.79/0.76  % (657253)Termination reason: Instruction limit
% 2.79/0.76  % (657253)Termination phase: Saturation
% 2.79/0.76  % (657253)Time elapsed: 0.076 s
% 2.79/0.76  % (657253)Peak memory usage: 14 MB
% 2.79/0.76  % (657253)Instructions burned: 173 (million)
% 2.79/0.76  % (657268)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1855541796:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.79/0.76  % (657270)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.79/0.76  % (657270)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1528881357:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.79/0.76  % (657268)Instruction limit reached! 
% 2.79/0.76  % (657268)------------------------------
% 2.79/0.76  % (657268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.76  % (657268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.76  % (657268)CaDiCaL version: 2.1.3
% 2.79/0.76  % (657268)Termination reason: Instruction limit
% 2.79/0.76  % (657268)Termination phase: shuffling
% 2.79/0.76  % (657268)Time elapsed: 0.009 s
% 2.79/0.76  % (657268)Peak memory usage: 10 MB
% 2.79/0.76  % (657268)Instructions burned: 22 (million)
% 2.79/0.76  % (657267)Refutation not found, incomplete strategy
% 2.79/0.76  % (657267)------------------------------
% 2.79/0.76  % (657267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.76  % (657267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.76  % (657267)CaDiCaL version: 2.1.3
% 2.79/0.76  % (657267)Termination reason: Refutation not found, incomplete strategy
% 2.79/0.76  % (657267)Time elapsed: 0.027 s
% 2.79/0.76  % (657267)Peak memory usage: 14 MB
% 2.79/0.76  % (657267)Instructions burned: 113 (million)
% 2.79/0.76  % (657267)------------------------------
% 2.79/0.76  % (657267)------------------------------
% 2.79/0.76  % (657274)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=4129214664:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.38/0.81  % (657273)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=903391064:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.38/0.81  % (657273)Instruction limit reached! 
% 3.38/0.81  % (657273)------------------------------
% 3.38/0.81  % (657273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.81  % (657273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.81  % (657273)CaDiCaL version: 2.1.3
% 3.38/0.81  % (657273)Termination reason: Instruction limit
% 3.38/0.81  % (657273)Termination phase: shuffling
% 3.38/0.81  % (657273)Time elapsed: 0.007 s
% 3.38/0.81  % (657273)Peak memory usage: 10 MB
% 3.38/0.81  % (657273)Instructions burned: 15 (million)
% 3.38/0.81  % (657274)Instruction limit reached! 
% 3.38/0.81  % (657274)------------------------------
% 3.38/0.81  % (657274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.81  % (657274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.81  % (657274)CaDiCaL version: 2.1.3
% 3.38/0.81  % (657274)Termination reason: Instruction limit
% 3.38/0.81  % (657274)Termination phase: Property scanning
% 3.38/0.81  % (657274)Time elapsed: 0.016 s
% 3.38/0.81  % (657274)Peak memory usage: 11 MB
% 3.38/0.81  % (657274)Instructions burned: 71 (million)
% 3.38/0.81  % (657278)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1592066240:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.38/0.81  % (657182)Instruction limit reached! 
% 3.38/0.81  % (657182)------------------------------
% 3.38/0.81  % (657182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.81  % (657182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.81  % (657182)CaDiCaL version: 2.1.3
% 3.38/0.81  % (657182)Termination reason: Instruction limit
% 3.38/0.81  % (657182)Termination phase: Saturation
% 3.38/0.81  % (657182)Time elapsed: 0.345 s
% 3.38/0.81  % (657182)Peak memory usage: 17 MB
% 3.38/0.81  % (657182)Instructions burned: 636 (million)
% 3.38/0.81  % (657277)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1257840853:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.38/0.81  % (657278)Instruction limit reached! 
% 3.38/0.81  % (657278)------------------------------
% 3.38/0.81  % (657278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.81  % (657278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.81  % (657278)CaDiCaL version: 2.1.3
% 3.38/0.81  % (657278)Termination reason: Instruction limit
% 3.38/0.81  % (657278)Termination phase: Property scanning
% 3.38/0.81  % (657278)Time elapsed: 0.007 s
% 3.38/0.81  % (657278)Peak memory usage: 10 MB
% 3.38/0.81  % (657278)Instructions burned: 32 (million)
% 3.38/0.81  % (657260)Instruction limit reached! 
% 3.38/0.81  % (657260)------------------------------
% 3.38/0.81  % (657260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.81  % (657260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.81  % (657260)CaDiCaL version: 2.1.3
% 3.38/0.81  % (657260)Termination reason: Instruction limit
% 3.38/0.81  % (657260)Termination phase: Function definition elimination
% 3.38/0.81  % (657260)Time elapsed: 0.123 s
% 3.38/0.81  % (657260)Peak memory usage: 11 MB
% 3.38/0.81  % (657260)Instructions burned: 317 (million)
% 3.38/0.81  % (657282)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=193611273:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.38/0.81  % (657280)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2148677016:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.38/0.81  % (657282)Instruction limit reached! 
% 3.38/0.81  % (657282)------------------------------
% 3.38/0.81  % (657282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.81  % (657282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.81  % (657282)CaDiCaL version: 2.1.3
% 3.38/0.81  % (657282)Termination reason: Instruction limit
% 3.38/0.81  % (657282)Termination phase: Property scanning
% 3.38/0.81  % (657282)Time elapsed: 0.009 s
% 3.38/0.81  % (657282)Peak memory usage: 11 MB
% 3.38/0.81  % (657282)Instructions burned: 39 (million)
% 3.38/0.81  % (657277)Instruction limit reached! 
% 3.38/0.81  % (657277)------------------------------
% 3.38/0.81  % (657277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.81  % (657277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.81  % (657277)CaDiCaL version: 2.1.3
% 3.38/0.81  % (657277)Termination reason: Instruction limit
% 3.38/0.81  % (657277)Termination phase: Property scanning
% 3.38/0.81  % (657277)Time elapsed: 0.022 s
% 3.38/0.81  % (657277)Peak memory usage: 11 MB
% 3.38/0.81  % (657277)Instructions burned: 51 (million)
% 3.38/0.81  % (657283)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=425548882:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.38/0.81  % (657286)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.38/0.81  % (657270)Instruction limit reached! 
% 3.38/0.81  % (657270)------------------------------
% 3.38/0.81  % (657270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.81  % (657270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.81  % (657270)CaDiCaL version: 2.1.3
% 3.38/0.81  % (657270)Termination reason: Instruction limit
% 3.38/0.81  % (657270)Termination phase: Function definition elimination
% 3.38/0.81  % (657270)Time elapsed: 0.081 s
% 3.38/0.81  % (657270)Peak memory usage: 11 MB
% 3.38/0.81  % (657270)Instructions burned: 202 (million)
% 3.38/0.81  % (657286)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=687351328:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.38/0.81  % (657287)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=410050611:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.38/0.81  % (657290)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=243111416:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.38/0.81  % (657283)Instruction limit reached! 
% 3.38/0.81  % (657283)------------------------------
% 3.38/0.81  % (657283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.81  % (657283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.81  % (657283)CaDiCaL version: 2.1.3
% 3.38/0.81  % (657283)Termination reason: Instruction limit
% 3.38/0.81  % (657283)Termination phase: Function definition elimination
% 3.38/0.81  % (657283)Time elapsed: 0.029 s
% 3.38/0.81  % (657283)Peak memory usage: 11 MB
% 3.38/0.81  % (657283)Instructions burned: 69 (million)
% 3.38/0.81  % (657286)Instruction limit reached! 
% 3.38/0.81  % (657286)------------------------------
% 3.38/0.81  % (657286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.81  % (657286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.81  % (657286)CaDiCaL version: 2.1.3
% 3.38/0.81  % (657286)Termination reason: Instruction limit
% 3.38/0.81  % (657286)Termination phase: Function definition elimination
% 3.38/0.81  % (657286)Time elapsed: 0.038 s
% 3.38/0.81  % (657286)Peak memory usage: 11 MB
% 3.38/0.81  % (657286)Instructions burned: 185 (million)
% 3.38/0.81  % (657293)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3017502383:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.38/0.81  % (657294)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2970640992:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.38/0.81  % (657280)Instruction limit reached! 
% 3.38/0.81  % (657280)------------------------------
% 3.38/0.81  % (657280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.81  % (657280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.81  % (657280)CaDiCaL version: 2.1.3
% 3.38/0.81  % (657280)Termination reason: Instruction limit
% 3.38/0.81  % (657280)Termination phase: Saturation
% 3.38/0.81  % (657280)Time elapsed: 0.066 s
% 3.38/0.81  % (657280)Peak memory usage: 13 MB
% 3.38/0.81  % (657280)Instructions burned: 138 (million)
% 3.38/0.81  % (657290)Instruction limit reached! 
% 3.38/0.81  % (657290)------------------------------
% 3.38/0.81  % (657290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.81  % (657290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.81  % (657290)CaDiCaL version: 2.1.3
% 3.38/0.81  % (657290)Termination reason: Instruction limit
% 3.38/0.81  % (657290)Termination phase: Function definition elimination
% 3.38/0.81  % (657290)Time elapsed: 0.040 s
% 3.38/0.81  % (657290)Peak memory usage: 11 MB
% 3.38/0.81  % (657290)Instructions burned: 96 (million)
% 3.38/0.81  % (657297)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1800569541:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.38/0.81  % (657293)Refutation not found, incomplete strategy
% 3.38/0.81  % (657293)------------------------------
% 3.38/0.81  % (657293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.81  % (657293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.81  % (657293)CaDiCaL version: 2.1.3
% 3.38/0.81  % (657293)Termination reason: Refutation not found, incomplete strategy
% 3.38/0.81  % (657293)Time elapsed: 0.027 s
% 3.38/0.81  % (657293)Peak memory usage: 13 MB
% 3.38/0.81  % (657293)Instructions burned: 61 (million)
% 3.38/0.81  % (657293)------------------------------
% 3.38/0.81  % (657293)------------------------------
% 3.38/0.81  % (657298)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4146508363:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.38/0.81  % (657300)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3764839534:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.38/0.81  % (657287) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-657174-657287"...
% 3.38/0.81  % (657287)...printing done.
% 3.38/0.81  % (657287)Refutation found. Thanks to Tanya!
% 3.38/0.81  % SZS status Theorem for theBenchmark
% 3.38/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 3.38/0.81  % (657287)------------------------------
% 3.38/0.81  % (657287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.81  % (657287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.81  % (657287)CaDiCaL version: 2.1.3
% 3.38/0.81  % (657287)Termination reason: Refutation
% 3.38/0.81  % (657287)Time elapsed: 0.087 s
% 3.38/0.81  % (657287)Peak memory usage: 14 MB
% 3.38/0.81  % (657287)Instructions burned: 192 (million)
% 3.38/0.81  % (657174)Success in time 0.534 s
% 3.38/0.81  % Vampire exiting
%------------------------------------------------------------------------------