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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM639^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 08:18:20 AM UTC 2026

% Result   : Theorem 3.39s 0.99s
% Output   : Refutation 3.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   42 (  34 unt;   0 typ;   0 def)
%            Number of atoms       :  212 (  54 equ;   0 cnn)
%            Maximal formula atoms :    5 (   5 avg)
%            Number of connectives :  242 (   8   ~;   3   |;   0   &; 209   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  142 ( 138 usr;   7 con; 0-7 aty)
%                                         (   8  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   82 (  76   ^;   6   !;   0   ?;  82   :)

% 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,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_123,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_124,type,
    vIMP: $o > $o > $o ).

thf(func_def_125,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_126,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_127,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_128,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_131,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_132,type,
    vAND: $o > $o > $o ).

thf(func_def_133,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_134,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_135,type,
    vOR: $o > $o > $o ).

thf(func_def_136,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_137,type,
    vNOT: $o > $o ).

thf(func_def_138,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_139,type,
    db7: 
      !>[X0: $tType] : X0 ).

thf(func_def_140,type,
    vIFF: $o > $o > $o ).

thf(f1,axiom,
    ( ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) )
    = is_of ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/NUM007^0.ax',def_all_of) ).

thf(f91,axiom,
    ( e_is
    = ( ^ [X0: $i,X1: $i,X2: $i] : ( X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_e_is) ).

thf(f157,axiom,
    ( n_is
    = ( e_is @ nat ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_n_is) ).

thf(f186,axiom,
    ( all_of
    @ ^ [X0: $i] : ( in @ X0 @ nat )
    @ ^ [X0: $i] : ( n_is @ ( n_pl @ X0 @ n_1 ) @ ( ordsucc @ X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4a) ).

thf(f190,conjecture,
    ( all_of
    @ ^ [X0: $i] : ( in @ X0 @ nat )
    @ ^ [X0: $i] : ( n_is @ ( ordsucc @ X0 ) @ ( n_pl @ X0 @ n_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4e) ).

thf(f191,negated_conjecture,
    ~ ( all_of
      @ ^ [X0: $i] : ( in @ X0 @ nat )
      @ ^ [X0: $i] : ( n_is @ ( ordsucc @ X0 ) @ ( n_pl @ X0 @ n_1 ) ) ),
    inference(negated_conjecture,[status(cth)],[f190]) ).

thf(f213,plain,
    ( e_is
    = ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
    inference(fool_elimination,[],[f91]) ).

thf(f234,plain,
    ( all_of
    @ ^ [X0: $i] : ( in @ X0 @ nat )
    @ ^ [X1: $i] : ( n_is @ ( n_pl @ X1 @ n_1 ) @ ( ordsucc @ X1 ) ) ),
    inference(rectify,[],[f186]) ).

thf(f235,plain,
    ( $true
    = ( all_of
      @ ^ [Y0: $i] : ( in @ Y0 @ nat )
      @ ^ [Y0: $i] : ( n_is @ ( n_pl @ Y0 @ n_1 ) @ ( ordsucc @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f234]) ).

thf(f283,plain,
    ( n_is
    = ( e_is @ nat ) ),
    inference(fool_elimination,[],[f157]) ).

thf(f323,plain,
    ( is_of
    = ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f352,plain,
    ~ ( all_of
      @ ^ [X0: $i] : ( in @ X0 @ nat )
      @ ^ [X1: $i] : ( n_is @ ( ordsucc @ X1 ) @ ( n_pl @ X1 @ n_1 ) ) ),
    inference(rectify,[],[f191]) ).

thf(f353,plain,
    ( $true
    = ( ~ ( all_of
          @ ^ [Y0: $i] : ( in @ Y0 @ nat )
          @ ^ [Y0: $i] : ( n_is @ ( ordsucc @ Y0 ) @ ( n_pl @ Y0 @ n_1 ) ) ) ) ),
    inference(fool_elimination,[],[f352]) ).

thf(f450,plain,
    ( all_of
    = ( ^ [X0: $i > $o,X1: $i > $o] :
        ! [X2: $i] :
          ( ( is_of @ X2 @ X0 )
         => ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f451,plain,
    ( all_of
    = ( ^ [Y0: $i > $o,Y1: $i > $o] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ( is_of @ Y2 @ Y0 )
             => ( Y1 @ Y2 ) ) ) ) ),
    inference(fool_elimination,[],[f450]) ).

thf(f505,plain,
    ( is_of
    = ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
    inference(cnf_transformation,[],[f323]) ).

thf(f507,plain,
    ( all_of
    = ( ^ [Y0: $i > $o,Y1: $i > $o] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ( is_of @ Y2 @ Y0 )
             => ( Y1 @ Y2 ) ) ) ) ),
    inference(cnf_transformation,[],[f451]) ).

thf(f510,plain,
    ( n_is
    = ( e_is @ nat ) ),
    inference(cnf_transformation,[],[f283]) ).

thf(f516,plain,
    ( $true
    = ( ~ ( all_of
          @ ^ [Y0: $i] : ( in @ Y0 @ nat )
          @ ^ [Y0: $i] : ( n_is @ ( ordsucc @ Y0 ) @ ( n_pl @ Y0 @ n_1 ) ) ) ) ),
    inference(cnf_transformation,[],[f353]) ).

thf(f526,plain,
    ( e_is
    = ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
    inference(cnf_transformation,[],[f213]) ).

thf(f534,plain,
    ( $true
    = ( all_of
      @ ^ [Y0: $i] : ( in @ Y0 @ nat )
      @ ^ [Y0: $i] : ( n_is @ ( n_pl @ Y0 @ n_1 ) @ ( ordsucc @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f235]) ).

thf(f541,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,[],[f507,f505]) ).

thf(f542,plain,
    ( n_is
    = ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 )
      @ nat ) ),
    inference(definition_unfolding,[],[f510,f526]) ).

thf(f548,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] :
              ( ^ [Y1: $i,Y2: $i,Y3: $i] : ( Y2 = Y3 )
              @ nat
              @ ( ordsucc @ Y0 )
              @ ( n_pl @ Y0 @ n_1 ) ) ) ) ),
    inference(definition_unfolding,[],[f516,f541,f542]) ).

thf(f555,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,Y2: $i,Y3: $i] : ( Y2 = Y3 )
          @ nat
          @ ( n_pl @ Y0 @ n_1 )
          @ ( ordsucc @ Y0 ) ) )
    = $true ),
    inference(definition_unfolding,[],[f534,f541,f542]) ).

thf(f557,plain,
    ( ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( in @ Y0 @ nat )
             => ( ( ordsucc @ Y0 )
                = ( n_pl @ Y0 @ n_1 ) ) ) ) )
    = $true ),
    inference(beta-eta_normalization,[],[f548]) ).

thf(f561,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( in @ Y0 @ nat )
         => ( ( n_pl @ Y0 @ n_1 )
            = ( ordsucc @ Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f555]) ).

thf(f572,plain,
    ( $false
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( in @ Y0 @ nat )
         => ( ( ordsucc @ Y0 )
            = ( n_pl @ Y0 @ n_1 ) ) ) ) ),
    inference(not_proxy_clausification,[],[f557]) ).

thf(f581,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( ( in @ Y0 @ nat )
         => ( ( ordsucc @ Y0 )
            = ( n_pl @ Y0 @ n_1 ) ) )
      @ sK0 ) ),
    inference(sigma_proxy_clausification,[],[f572]) ).

thf(f584,plain,
    ( $false
    = ( ( in @ sK0 @ nat )
     => ( ( ordsucc @ sK0 )
        = ( n_pl @ sK0 @ n_1 ) ) ) ),
    inference(beta-eta_normalization,[],[f581]) ).

thf(f585,plain,
    ( $false
    = ( ( ordsucc @ sK0 )
      = ( n_pl @ sK0 @ n_1 ) ) ),
    inference(imp_proxy_clausification,[],[f584]) ).

thf(f586,plain,
    ( ( in @ sK0 @ nat )
    = $true ),
    inference(imp_proxy_clausification,[],[f584]) ).

thf(f587,plain,
    ( ( ordsucc @ sK0 )
   != ( n_pl @ sK0 @ n_1 ) ),
    inference(equality_proxy_clausification,[],[f585]) ).

thf(f610,plain,
    ! [X1: $i] :
      ( ( ^ [Y0: $i] :
            ( ( in @ Y0 @ nat )
           => ( ( n_pl @ Y0 @ n_1 )
              = ( ordsucc @ Y0 ) ) )
        @ X1 )
      = $true ),
    inference(pi_proxy_clausification,[],[f561]) ).

thf(f611,plain,
    ! [X1: $i] :
      ( ( ( in @ X1 @ nat )
       => ( ( n_pl @ X1 @ n_1 )
          = ( ordsucc @ X1 ) ) )
      = $true ),
    inference(beta-eta_normalization,[],[f610]) ).

thf(f612,plain,
    ! [X1: $i] :
      ( ( $true
        = ( ( n_pl @ X1 @ n_1 )
          = ( ordsucc @ X1 ) ) )
      | ( ( in @ X1 @ nat )
        = $false ) ),
    inference(imp_proxy_clausification,[],[f611]) ).

thf(f613,plain,
    ! [X1: $i] :
      ( ( ( ordsucc @ X1 )
        = ( n_pl @ X1 @ n_1 ) )
      | ( ( in @ X1 @ nat )
        = $false ) ),
    inference(equality_proxy_clausification,[],[f612]) ).

thf(f614,plain,
    ( ( ( ordsucc @ sK0 )
     != ( ordsucc @ sK0 ) )
    | ( $false
      = ( in @ sK0 @ nat ) ) ),
    inference(superposition,[],[f587,f613]) ).

thf(f615,plain,
    ( $false
    = ( in @ sK0 @ nat ) ),
    inference(trivial_inequality_removal,[],[f614]) ).

thf(f618,plain,
    $false = $true,
    inference(superposition,[],[f586,f615]) ).

thf(f619,plain,
    $false,
    inference(trivial_inequality_removal,[],[f618]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM639^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n011.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Sep 29 12:23:31 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running higher-order theorem proving
% 0.22/0.27  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.44  % (12376)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.48/0.44  % (12382)lrs+10_16_si=on:nwc=1.5:random_seed=3225817645:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.48/0.44  % (12382)Instruction limit reached! 
% 0.48/0.44  % (12382)------------------------------
% 0.48/0.44  % (12382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.44  % (12382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.44  % (12382)CaDiCaL version: 2.1.3
% 0.48/0.44  % (12382)Termination reason: Instruction limit
% 0.48/0.44  % (12382)Termination phase: Property scanning
% 0.48/0.44  % (12382)Time elapsed: 0.006 s
% 0.48/0.44  % (12382)Peak memory usage: 10 MB
% 0.48/0.44  % (12382)Instructions burned: 23 (million)
% 0.48/0.44  % (12381)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3073348098:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.48/0.44  % (12383)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3402180528:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.48/0.45  % (12384)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=4038438816: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)
% 0.48/0.45  % (12383)Instruction limit reached! 
% 0.48/0.45  % (12383)------------------------------
% 0.48/0.45  % (12383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45  % (12383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45  % (12383)CaDiCaL version: 2.1.3
% 0.48/0.45  % (12383)Termination reason: Instruction limit
% 0.48/0.45  % (12383)Termination phase: shuffling
% 0.48/0.45  % (12383)Time elapsed: 0.003 s
% 0.48/0.45  % (12383)Peak memory usage: 10 MB
% 0.48/0.45  % (12383)Instructions burned: 5 (million)
% 0.48/0.45  % (12389)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2120103705:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.48/0.45  % (12389)Instruction limit reached! 
% 0.48/0.45  % (12389)------------------------------
% 0.48/0.45  % (12389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45  % (12389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45  % (12389)CaDiCaL version: 2.1.3
% 0.48/0.45  % (12389)Termination reason: Instruction limit
% 0.48/0.45  % (12389)Termination phase: shuffling
% 0.48/0.45  % (12389)Time elapsed: 0.001 s
% 0.48/0.45  % (12389)Peak memory usage: 10 MB
% 0.48/0.45  % (12389)Instructions burned: 4 (million)
% 0.48/0.45  % (12385)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4188491028:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.48/0.45  % (12387)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.48/0.45  % (12387)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
% 0.48/0.45  % (12395)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.48/0.45  % (12387)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=4146666118:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.48/0.45  % (12395)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1777374655:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.48/0.45  % (12395)Instruction limit reached! 
% 0.48/0.45  % (12395)------------------------------
% 0.48/0.45  % (12395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45  % (12395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45  % (12395)CaDiCaL version: 2.1.3
% 0.48/0.45  % (12395)Termination reason: Instruction limit
% 0.48/0.45  % (12395)Termination phase: shuffling
% 0.48/0.45  % (12395)Time elapsed: 0.003 s
% 0.48/0.45  % (12395)Peak memory usage: 10 MB
% 0.48/0.45  % (12395)Instructions burned: 12 (million)
% 0.48/0.45  % (12386)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2420562779:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.07/0.49  % (12385)Instruction limit reached! 
% 1.07/0.49  % (12385)------------------------------
% 1.07/0.49  % (12385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49  % (12385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49  % (12385)CaDiCaL version: 2.1.3
% 1.07/0.49  % (12385)Termination reason: Instruction limit
% 1.07/0.49  % (12385)Termination phase: Property scanning
% 1.07/0.49  % (12385)Time elapsed: 0.021 s
% 1.07/0.49  % (12385)Peak memory usage: 10 MB
% 1.07/0.49  % (12385)Instructions burned: 25 (million)
% 1.07/0.49  % (12400)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1606445815:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.07/0.49  % (12381)Instruction limit reached! 
% 1.07/0.49  % (12381)------------------------------
% 1.07/0.49  % (12381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49  % (12381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49  % (12381)CaDiCaL version: 2.1.3
% 1.07/0.49  % (12381)Termination reason: Instruction limit
% 1.07/0.49  % (12381)Termination phase: Function definition elimination
% 1.07/0.49  % (12381)Time elapsed: 0.037 s
% 1.07/0.49  % (12381)Peak memory usage: 11 MB
% 1.07/0.49  % (12381)Instructions burned: 88 (million)
% 1.07/0.49  % (12400)Instruction limit reached! 
% 1.07/0.49  % (12400)------------------------------
% 1.07/0.49  % (12400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49  % (12400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49  % (12400)CaDiCaL version: 2.1.3
% 1.07/0.49  % (12400)Termination reason: Instruction limit
% 1.07/0.49  % (12400)Termination phase: shuffling
% 1.07/0.49  % (12400)Time elapsed: 0.003 s
% 1.07/0.49  % (12400)Peak memory usage: 10 MB
% 1.07/0.49  % (12400)Instructions burned: 15 (million)
% 1.07/0.49  % (12393)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=912438645:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.07/0.49  % (12393)Instruction limit reached! 
% 1.07/0.49  % (12393)------------------------------
% 1.07/0.49  % (12393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49  % (12393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49  % (12393)CaDiCaL version: 2.1.3
% 1.07/0.49  % (12393)Termination reason: Instruction limit
% 1.07/0.49  % (12393)Termination phase: shuffling
% 1.07/0.49  % (12393)Time elapsed: 0.005 s
% 1.07/0.49  % (12393)Peak memory usage: 10 MB
% 1.07/0.49  % (12393)Instructions burned: 5 (million)
% 1.07/0.49  % (12404)lrs+10_1_si=on:cs=on:random_seed=3813789858:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.07/0.49  % (12404)Instruction limit reached! 
% 1.07/0.49  % (12404)------------------------------
% 1.07/0.49  % (12404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49  % (12404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49  % (12404)CaDiCaL version: 2.1.3
% 1.07/0.49  % (12404)Termination reason: Instruction limit
% 1.07/0.49  % (12404)Termination phase: shuffling
% 1.07/0.49  % (12404)Time elapsed: 0.004 s
% 1.07/0.49  % (12404)Peak memory usage: 10 MB
% 1.07/0.49  % (12404)Instructions burned: 9 (million)
% 1.07/0.49  % (12402)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
% 1.07/0.49  % (12402)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.49  % (12403)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=2387735815:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.07/0.49  % (12402)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3872383856:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.07/0.49  % (12406)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.07/0.49  % (12406)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=458928176:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.07/0.52  % (12406)Instruction limit reached! 
% 1.07/0.52  % (12406)------------------------------
% 1.07/0.52  % (12406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.52  % (12406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.52  % (12406)CaDiCaL version: 2.1.3
% 1.07/0.52  % (12406)Termination reason: Instruction limit
% 1.07/0.52  % (12406)Termination phase: shuffling
% 1.07/0.52  % (12406)Time elapsed: 0.003 s
% 1.07/0.52  % (12406)Peak memory usage: 10 MB
% 1.07/0.52  % (12406)Instructions burned: 3 (million)
% 1.07/0.52  % (12402)Instruction limit reached! 
% 1.07/0.52  % (12402)------------------------------
% 1.07/0.52  % (12402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.52  % (12402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.52  % (12402)CaDiCaL version: 2.1.3
% 1.07/0.52  % (12402)Termination reason: Instruction limit
% 1.07/0.52  % (12402)Termination phase: Property scanning
% 1.07/0.52  % (12402)Time elapsed: 0.024 s
% 1.07/0.52  % (12402)Peak memory usage: 10 MB
% 1.07/0.52  % (12402)Instructions burned: 29 (million)
% 1.07/0.52  % (12386)Instruction limit reached! 
% 1.07/0.52  % (12386)------------------------------
% 1.07/0.52  % (12386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.52  % (12386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.52  % (12386)CaDiCaL version: 2.1.3
% 1.07/0.52  % (12386)Termination reason: Instruction limit
% 1.07/0.52  % (12386)Termination phase: Function definition elimination
% 1.07/0.52  % (12386)Time elapsed: 0.066 s
% 1.07/0.52  % (12386)Peak memory usage: 11 MB
% 1.07/0.52  % (12386)Instructions burned: 77 (million)
% 1.07/0.52  % (12409)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=122149998:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.07/0.52  % (12403)Instruction limit reached! 
% 1.07/0.52  % (12403)------------------------------
% 1.07/0.52  % (12403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.52  % (12403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.52  % (12403)CaDiCaL version: 2.1.3
% 1.07/0.52  % (12403)Termination reason: Instruction limit
% 1.07/0.52  % (12403)Termination phase: Function definition elimination
% 1.07/0.52  % (12403)Time elapsed: 0.036 s
% 1.07/0.52  % (12403)Peak memory usage: 10 MB
% 1.07/0.52  % (12403)Instructions burned: 87 (million)
% 1.07/0.52  % (12412)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1678716416:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.07/0.52  % (12412)Refutation not found, incomplete strategy
% 1.07/0.52  % (12412)------------------------------
% 1.07/0.52  % (12412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.52  % (12412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.52  % (12412)CaDiCaL version: 2.1.3
% 1.07/0.52  % (12412)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.52  % (12412)Time elapsed: 0.009 s
% 1.07/0.52  % (12412)Peak memory usage: 12 MB
% 1.07/0.52  % (12412)Instructions burned: 34 (million)
% 1.07/0.52  % (12412)------------------------------
% 1.07/0.52  % (12412)------------------------------
% 1.07/0.52  % (12413)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2343883991:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.07/0.52  % (12409)Instruction limit reached! 
% 1.07/0.52  % (12409)------------------------------
% 1.07/0.52  % (12409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.52  % (12409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.52  % (12409)CaDiCaL version: 2.1.3
% 1.07/0.52  % (12409)Termination reason: Instruction limit
% 1.07/0.52  % (12409)Termination phase: Saturation
% 1.07/0.52  % (12409)Time elapsed: 0.020 s
% 1.07/0.52  % (12409)Peak memory usage: 12 MB
% 1.07/0.52  % (12409)Instructions burned: 39 (million)
% 1.07/0.52  % (12418)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3856752316:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.07/0.52  % (12418)Instruction limit reached! 
% 1.07/0.52  % (12418)------------------------------
% 1.07/0.52  % (12418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.60  % (12418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.60  % (12418)CaDiCaL version: 2.1.3
% 1.61/0.60  % (12418)Termination reason: Instruction limit
% 1.61/0.60  % (12418)Termination phase: Property scanning
% 1.61/0.60  % (12418)Time elapsed: 0.004 s
% 1.61/0.60  % (12418)Peak memory usage: 10 MB
% 1.61/0.60  % (12418)Instructions burned: 15 (million)
% 1.61/0.60  % (12414)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1899832123:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.61/0.60  % (12413)Instruction limit reached! 
% 1.61/0.60  % (12413)------------------------------
% 1.61/0.60  % (12413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.60  % (12413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.60  % (12413)CaDiCaL version: 2.1.3
% 1.61/0.60  % (12413)Termination reason: Instruction limit
% 1.61/0.60  % (12413)Termination phase: SInE selection
% 1.61/0.60  % (12413)Time elapsed: 0.012 s
% 1.61/0.60  % (12413)Peak memory usage: 10 MB
% 1.61/0.60  % (12413)Instructions burned: 26 (million)
% 1.61/0.60  % (12422)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3064275648:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.61/0.60  % (12422)Instruction limit reached! 
% 1.61/0.60  % (12422)------------------------------
% 1.61/0.60  % (12422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.60  % (12422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.60  % (12422)CaDiCaL version: 2.1.3
% 1.61/0.60  % (12422)Termination reason: Instruction limit
% 1.61/0.60  % (12422)Termination phase: Property scanning
% 1.61/0.60  % (12422)Time elapsed: 0.006 s
% 1.61/0.60  % (12422)Peak memory usage: 10 MB
% 1.61/0.60  % (12422)Instructions burned: 27 (million)
% 1.61/0.60  % (12414)Instruction limit reached! 
% 1.61/0.60  % (12414)------------------------------
% 1.61/0.60  % (12414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.60  % (12414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.60  % (12414)CaDiCaL version: 2.1.3
% 1.61/0.60  % (12414)Termination reason: Instruction limit
% 1.61/0.60  % (12414)Termination phase: shuffling
% 1.61/0.60  % (12414)Time elapsed: 0.012 s
% 1.61/0.60  % (12414)Peak memory usage: 10 MB
% 1.61/0.60  % (12414)Instructions burned: 14 (million)
% 1.61/0.60  % (12417)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2237528673:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.61/0.60  % (12421)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1760422181: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)
% 1.61/0.60  % (12421)Instruction limit reached! 
% 1.61/0.60  % (12421)------------------------------
% 1.61/0.60  % (12421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.60  % (12421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.60  % (12421)CaDiCaL version: 2.1.3
% 1.61/0.60  % (12421)Termination reason: Instruction limit
% 1.61/0.60  % (12421)Termination phase: shuffling
% 1.61/0.60  % (12421)Time elapsed: 0.003 s
% 1.61/0.60  % (12421)Peak memory usage: 9 MB
% 1.61/0.60  % (12421)Instructions burned: 2 (million)
% 1.61/0.60  % (12426)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1013922936:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.61/0.60  % (12387)Instruction limit reached! 
% 1.61/0.60  % (12387)------------------------------
% 1.61/0.60  % (12387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.60  % (12387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.60  % (12387)CaDiCaL version: 2.1.3
% 1.61/0.60  % (12387)Termination reason: Instruction limit
% 1.61/0.60  % (12387)Termination phase: Property scanning
% 1.61/0.60  % (12387)Time elapsed: 0.134 s
% 1.61/0.60  % (12387)Peak memory usage: 12 MB
% 1.61/0.60  % (12387)Instructions burned: 160 (million)
% 1.61/0.60  % (12427)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
% 1.61/0.60  % (12427)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.03/0.69  % (12426)Instruction limit reached! 
% 2.03/0.69  % (12426)------------------------------
% 2.03/0.69  % (12426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69  % (12426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69  % (12426)CaDiCaL version: 2.1.3
% 2.03/0.69  % (12426)Termination reason: Instruction limit
% 2.03/0.69  % (12426)Termination phase: Saturation
% 2.03/0.69  % (12426)Time elapsed: 0.016 s
% 2.03/0.69  % (12426)Peak memory usage: 12 MB
% 2.03/0.69  % (12426)Instructions burned: 63 (million)
% 2.03/0.69  % (12430)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.03/0.69  % (12424)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1520439748:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.03/0.69  % (12427)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=3737157388:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.03/0.69  % (12430)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=1380156035:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.03/0.69  % (12430)Instruction limit reached! 
% 2.03/0.69  % (12430)------------------------------
% 2.03/0.69  % (12430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69  % (12430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69  % (12430)CaDiCaL version: 2.1.3
% 2.03/0.69  % (12430)Termination reason: Instruction limit
% 2.03/0.69  % (12430)Termination phase: shuffling
% 2.03/0.69  % (12430)Time elapsed: 0.004 s
% 2.03/0.69  % (12430)Peak memory usage: 10 MB
% 2.03/0.69  % (12430)Instructions burned: 8 (million)
% 2.03/0.69  % (12433)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2451295614:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.03/0.69  % (12433)Instruction limit reached! 
% 2.03/0.69  % (12433)------------------------------
% 2.03/0.69  % (12433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69  % (12433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69  % (12433)CaDiCaL version: 2.1.3
% 2.03/0.69  % (12433)Termination reason: Instruction limit
% 2.03/0.69  % (12433)Termination phase: shuffling
% 2.03/0.69  % (12433)Time elapsed: 0.002 s
% 2.03/0.69  % (12433)Peak memory usage: 10 MB
% 2.03/0.69  % (12433)Instructions burned: 8 (million)
% 2.03/0.69  % (12432)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=2397930791:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.03/0.69  % (12427)Instruction limit reached! 
% 2.03/0.69  % (12427)------------------------------
% 2.03/0.69  % (12427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69  % (12427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69  % (12427)CaDiCaL version: 2.1.3
% 2.03/0.69  % (12427)Termination reason: Instruction limit
% 2.03/0.69  % (12427)Termination phase: shuffling
% 2.03/0.69  % (12427)Time elapsed: 0.012 s
% 2.03/0.69  % (12427)Peak memory usage: 10 MB
% 2.03/0.69  % (12427)Instructions burned: 14 (million)
% 2.03/0.69  % (12424)Instruction limit reached! 
% 2.03/0.69  % (12424)------------------------------
% 2.03/0.69  % (12424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69  % (12424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69  % (12424)CaDiCaL version: 2.1.3
% 2.03/0.69  % (12424)Termination reason: Instruction limit
% 2.03/0.69  % (12424)Termination phase: Property scanning
% 2.03/0.69  % (12424)Time elapsed: 0.020 s
% 2.03/0.69  % (12424)Peak memory usage: 10 MB
% 2.03/0.69  % (12424)Instructions burned: 24 (million)
% 2.03/0.69  % (12432)Instruction limit reached! 
% 2.03/0.69  % (12432)------------------------------
% 2.03/0.69  % (12432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69  % (12432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69  % (12432)CaDiCaL version: 2.1.3
% 2.03/0.69  % (12432)Termination reason: Instruction limit
% 2.03/0.69  % (12432)Termination phase: Property scanning
% 2.38/0.77  % (12432)Time elapsed: 0.014 s
% 2.38/0.77  % (12432)Peak memory usage: 11 MB
% 2.38/0.77  % (12432)Instructions burned: 31 (million)
% 2.38/0.77  % (12439)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3920869060:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.38/0.77  % (12441)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1881019042:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.38/0.77  % (12442)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=198078585:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.38/0.77  % (12439)Instruction limit reached! 
% 2.38/0.77  % (12439)------------------------------
% 2.38/0.77  % (12439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.77  % (12439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.77  % (12439)CaDiCaL version: 2.1.3
% 2.38/0.77  % (12439)Termination reason: Instruction limit
% 2.38/0.77  % (12439)Termination phase: Property scanning
% 2.38/0.77  % (12439)Time elapsed: 0.010 s
% 2.38/0.77  % (12439)Peak memory usage: 10 MB
% 2.38/0.77  % (12439)Instructions burned: 21 (million)
% 2.38/0.77  % (12443)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1327690773:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.38/0.77  % (12437)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1083534500:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.38/0.77  % (12447)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2435933467:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.38/0.77  % (12437)Instruction limit reached! 
% 2.38/0.77  % (12437)------------------------------
% 2.38/0.77  % (12437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.77  % (12437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.77  % (12437)CaDiCaL version: 2.1.3
% 2.38/0.77  % (12437)Termination reason: Instruction limit
% 2.38/0.77  % (12437)Termination phase: Property scanning
% 2.38/0.77  % (12437)Time elapsed: 0.020 s
% 2.38/0.77  % (12437)Peak memory usage: 10 MB
% 2.38/0.77  % (12437)Instructions burned: 24 (million)
% 2.38/0.77  % (12442)Instruction limit reached! 
% 2.38/0.77  % (12442)------------------------------
% 2.38/0.77  % (12442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.77  % (12442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.77  % (12442)CaDiCaL version: 2.1.3
% 2.38/0.77  % (12442)Termination reason: Instruction limit
% 2.38/0.77  % (12442)Termination phase: Property scanning
% 2.38/0.77  % (12442)Time elapsed: 0.044 s
% 2.38/0.77  % (12442)Peak memory usage: 11 MB
% 2.38/0.77  % (12442)Instructions burned: 144 (million)
% 2.38/0.77  % (12447)Instruction limit reached! 
% 2.38/0.77  % (12447)------------------------------
% 2.38/0.77  % (12447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.77  % (12447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.77  % (12447)CaDiCaL version: 2.1.3
% 2.38/0.77  % (12447)Termination reason: Instruction limit
% 2.38/0.77  % (12447)Termination phase: Function definition elimination
% 2.38/0.77  % (12447)Time elapsed: 0.020 s
% 2.38/0.77  % (12447)Peak memory usage: 11 MB
% 2.38/0.77  % (12447)Instructions burned: 44 (million)
% 2.38/0.77  % (12451)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.38/0.77  % (12453)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=2704029574: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)
% 2.38/0.77  % (12451)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3710790346:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.38/0.77  % (12451)Instruction limit reached! 
% 2.38/0.77  % (12451)------------------------------
% 2.38/0.77  % (12451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.77  % (12451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.77  % (12451)CaDiCaL version: 2.1.3
% 2.90/0.85  % (12451)Termination reason: Instruction limit
% 2.90/0.85  % (12451)Termination phase: shuffling
% 2.90/0.85  % (12451)Time elapsed: 0.004 s
% 2.90/0.85  % (12451)Peak memory usage: 10 MB
% 2.90/0.85  % (12451)Instructions burned: 9 (million)
% 2.90/0.85  % (12452)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3835667354:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.90/0.85  % (12456)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.90/0.85  % (12456)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2938666254:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.90/0.85  % (12456)Instruction limit reached! 
% 2.90/0.85  % (12456)------------------------------
% 2.90/0.85  % (12456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.85  % (12456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.85  % (12456)CaDiCaL version: 2.1.3
% 2.90/0.85  % (12456)Termination reason: Instruction limit
% 2.90/0.85  % (12456)Termination phase: shuffling
% 2.90/0.85  % (12456)Time elapsed: 0.004 s
% 2.90/0.85  % (12456)Peak memory usage: 10 MB
% 2.90/0.85  % (12456)Instructions burned: 8 (million)
% 2.90/0.85  % (12459)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=691497702:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.90/0.85  % (12443)Instruction limit reached! 
% 2.90/0.85  % (12443)------------------------------
% 2.90/0.85  % (12443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.85  % (12443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.85  % (12443)CaDiCaL version: 2.1.3
% 2.90/0.85  % (12443)Termination reason: Instruction limit
% 2.90/0.85  % (12443)Termination phase: Saturation
% 2.90/0.85  % (12443)Time elapsed: 0.113 s
% 2.90/0.85  % (12443)Peak memory usage: 14 MB
% 2.90/0.85  % (12443)Instructions burned: 193 (million)
% 2.90/0.85  % (12459)Instruction limit reached! 
% 2.90/0.85  % (12459)------------------------------
% 2.90/0.85  % (12459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.85  % (12459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.85  % (12459)CaDiCaL version: 2.1.3
% 2.90/0.85  % (12459)Termination reason: Instruction limit
% 2.90/0.85  % (12459)Termination phase: Property scanning
% 2.90/0.85  % (12459)Time elapsed: 0.013 s
% 2.90/0.85  % (12459)Peak memory usage: 10 MB
% 2.90/0.85  % (12459)Instructions burned: 24 (million)
% 2.90/0.85  % (12461)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3978603552:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.90/0.85  % (12453)Instruction limit reached! 
% 2.90/0.85  % (12453)------------------------------
% 2.90/0.85  % (12453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.85  % (12453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.85  % (12453)CaDiCaL version: 2.1.3
% 2.90/0.85  % (12453)Termination reason: Instruction limit
% 2.90/0.85  % (12453)Termination phase: Saturation
% 2.90/0.85  % (12453)Time elapsed: 0.079 s
% 2.90/0.85  % (12453)Peak memory usage: 13 MB
% 2.90/0.85  % (12453)Instructions burned: 171 (million)
% 2.90/0.85  % (12462)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=2993322821:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.90/0.85  % (12461)Instruction limit reached! 
% 2.90/0.85  % (12461)------------------------------
% 2.90/0.85  % (12461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.85  % (12461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.85  % (12461)CaDiCaL version: 2.1.3
% 2.90/0.85  % (12461)Termination reason: Instruction limit
% 2.90/0.85  % (12461)Termination phase: Property scanning
% 2.90/0.85  % (12461)Time elapsed: 0.009 s
% 2.90/0.85  % (12461)Peak memory usage: 10 MB
% 2.90/0.85  % (12461)Instructions burned: 19 (million)
% 2.90/0.85  % (12464)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=4128084012:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.39/0.94  % (12384)Instruction limit reached! 
% 3.39/0.94  % (12384)------------------------------
% 3.39/0.94  % (12384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.94  % (12384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.94  % (12384)CaDiCaL version: 2.1.3
% 3.39/0.94  % (12384)Termination reason: Instruction limit
% 3.39/0.94  % (12384)Termination phase: Saturation
% 3.39/0.94  % (12384)Time elapsed: 0.364 s
% 3.39/0.94  % (12384)Peak memory usage: 16 MB
% 3.39/0.94  % (12384)Instructions burned: 634 (million)
% 3.39/0.94  % (12466)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=781616356:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 3.39/0.94  % (12468)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3735800988:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 3.39/0.94  % (12466)Instruction limit reached! 
% 3.39/0.94  % (12466)------------------------------
% 3.39/0.94  % (12466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.94  % (12466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.94  % (12466)CaDiCaL version: 2.1.3
% 3.39/0.94  % (12466)Termination reason: Instruction limit
% 3.39/0.94  % (12466)Termination phase: Property scanning
% 3.39/0.94  % (12466)Time elapsed: 0.021 s
% 3.39/0.94  % (12466)Peak memory usage: 11 MB
% 3.39/0.94  % (12466)Instructions burned: 47 (million)
% 3.39/0.94  % (12471)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2541194240:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 3.39/0.94  % (12417)Instruction limit reached! 
% 3.39/0.94  % (12417)------------------------------
% 3.39/0.94  % (12417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.94  % (12417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.94  % (12417)CaDiCaL version: 2.1.3
% 3.39/0.94  % (12417)Termination reason: Instruction limit
% 3.39/0.94  % (12417)Termination phase: Saturation
% 3.39/0.94  % (12417)Time elapsed: 0.273 s
% 3.39/0.94  % (12417)Peak memory usage: 14 MB
% 3.39/0.94  % (12417)Instructions burned: 327 (million)
% 3.39/0.94  % (12468)Refutation not found, incomplete strategy
% 3.39/0.94  % (12468)------------------------------
% 3.39/0.94  % (12468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.94  % (12468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.94  % (12468)CaDiCaL version: 2.1.3
% 3.39/0.94  % (12468)Termination reason: Refutation not found, incomplete strategy
% 3.39/0.94  % (12468)Time elapsed: 0.029 s
% 3.39/0.94  % (12468)Peak memory usage: 13 MB
% 3.39/0.94  % (12468)Instructions burned: 60 (million)
% 3.39/0.94  % (12468)------------------------------
% 3.39/0.94  % (12468)------------------------------
% 3.39/0.94  % (12471)Instruction limit reached! 
% 3.39/0.94  % (12471)------------------------------
% 3.39/0.94  % (12471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.94  % (12471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.94  % (12471)CaDiCaL version: 2.1.3
% 3.39/0.94  % (12471)Termination reason: Instruction limit
% 3.39/0.94  % (12471)Termination phase: Property scanning
% 3.39/0.94  % (12471)Time elapsed: 0.010 s
% 3.39/0.94  % (12471)Peak memory usage: 10 MB
% 3.39/0.94  % (12471)Instructions burned: 22 (million)
% 3.39/0.94  % (12452)Instruction limit reached! 
% 3.39/0.94  % (12452)------------------------------
% 3.39/0.94  % (12452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.94  % (12452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.94  % (12452)CaDiCaL version: 2.1.3
% 3.39/0.94  % (12452)Termination reason: Instruction limit
% 3.39/0.94  % (12452)Termination phase: Saturation
% 3.39/0.94  % (12452)Time elapsed: 0.140 s
% 3.39/0.94  % (12452)Peak memory usage: 13 MB
% 3.39/0.94  % (12452)Instructions burned: 181 (million)
% 3.39/0.94  % (12475)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=1358090583:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.39/0.94  % (12476)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2872672895:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.39/0.99  % (12473)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.39/0.99  % (12474)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3318843674:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.39/0.99  % (12473)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2219342296:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 3.39/0.99  % (12474)Instruction limit reached! 
% 3.39/0.99  % (12474)------------------------------
% 3.39/0.99  % (12474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.99  % (12474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.99  % (12474)CaDiCaL version: 2.1.3
% 3.39/0.99  % (12474)Termination reason: Instruction limit
% 3.39/0.99  % (12474)Termination phase: shuffling
% 3.39/0.99  % (12474)Time elapsed: 0.014 s
% 3.39/0.99  % (12474)Peak memory usage: 10 MB
% 3.39/0.99  % (12474)Instructions burned: 13 (million)
% 3.39/0.99  % (12476)Instruction limit reached! 
% 3.39/0.99  % (12476)------------------------------
% 3.39/0.99  % (12476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.99  % (12476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.99  % (12476)CaDiCaL version: 2.1.3
% 3.39/0.99  % (12476)Termination reason: Instruction limit
% 3.39/0.99  % (12476)Termination phase: Function definition elimination
% 3.39/0.99  % (12476)Time elapsed: 0.023 s
% 3.39/0.99  % (12476)Peak memory usage: 11 MB
% 3.39/0.99  % (12476)Instructions burned: 52 (million)
% 3.39/0.99  % (12475)Instruction limit reached! 
% 3.39/0.99  % (12475)------------------------------
% 3.39/0.99  % (12475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.99  % (12475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.99  % (12475)CaDiCaL version: 2.1.3
% 3.39/0.99  % (12475)Termination reason: Instruction limit
% 3.39/0.99  % (12475)Termination phase: Function definition elimination
% 3.39/0.99  % (12475)Time elapsed: 0.029 s
% 3.39/0.99  % (12475)Peak memory usage: 11 MB
% 3.39/0.99  % (12475)Instructions burned: 67 (million)
% 3.39/0.99  % (12481)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2361014282:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 3.39/0.99  % (12481)Instruction limit reached! 
% 3.39/0.99  % (12481)------------------------------
% 3.39/0.99  % (12481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.99  % (12481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.99  % (12481)CaDiCaL version: 2.1.3
% 3.39/0.99  % (12481)Termination reason: Instruction limit
% 3.39/0.99  % (12481)Termination phase: Property scanning
% 3.39/0.99  % (12481)Time elapsed: 0.014 s
% 3.39/0.99  % (12481)Peak memory usage: 10 MB
% 3.39/0.99  % (12481)Instructions burned: 32 (million)
% 3.39/0.99  % (12462)Instruction limit reached! 
% 3.39/0.99  % (12462)------------------------------
% 3.39/0.99  % (12462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.99  % (12462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.99  % (12462)CaDiCaL version: 2.1.3
% 3.39/0.99  % (12462)Termination reason: Instruction limit
% 3.39/0.99  % (12462)Termination phase: Property scanning
% 3.39/0.99  % (12462)Time elapsed: 0.158 s
% 3.39/0.99  % (12462)Peak memory usage: 11 MB
% 3.39/0.99  % (12462)Instructions burned: 318 (million)
% 3.39/0.99  % (12482)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2359625717:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 3.39/0.99  % (12483)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=1370576390:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 3.39/0.99  % (12486)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.39/0.99  % (12485)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4094341707:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 3.39/0.99  % (12483)Instruction limit reached! 
% 3.39/0.99  % (12483)------------------------------
% 3.39/0.99  % (12483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.99  % (12483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.99  % (12483)CaDiCaL version: 2.1.3
% 3.39/0.99  % (12486)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3264385461:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 3.39/0.99  % (12483)Termination reason: Instruction limit
% 3.39/0.99  % (12483)Termination phase: Property scanning
% 3.39/0.99  % (12483)Time elapsed: 0.015 s
% 3.39/0.99  % (12483)Peak memory usage: 10 MB
% 3.39/0.99  % (12483)Instructions burned: 34 (million)
% 3.39/0.99  % (12473)Instruction limit reached! 
% 3.39/0.99  % (12473)------------------------------
% 3.39/0.99  % (12473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.99  % (12473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.99  % (12473)CaDiCaL version: 2.1.3
% 3.39/0.99  % (12473)Termination reason: Instruction limit
% 3.39/0.99  % (12473)Termination phase: Property scanning
% 3.39/0.99  % (12473)Time elapsed: 0.080 s
% 3.39/0.99  % (12473)Peak memory usage: 11 MB
% 3.39/0.99  % (12473)Instructions burned: 202 (million)
% 3.39/0.99  % (12491)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=682335171:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 3.39/0.99  % (12485)Instruction limit reached! 
% 3.39/0.99  % (12485)------------------------------
% 3.39/0.99  % (12485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.99  % (12485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.99  % (12485)CaDiCaL version: 2.1.3
% 3.39/0.99  % (12485)Termination reason: Instruction limit
% 3.39/0.99  % (12485)Termination phase: Function definition elimination
% 3.39/0.99  % (12485)Time elapsed: 0.029 s
% 3.39/0.99  % (12485)Peak memory usage: 11 MB
% 3.39/0.99  % (12485)Instructions burned: 69 (million)
% 3.39/0.99  % (12492)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3786512011:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 3.39/0.99  % (12494)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=151347406:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.39/0.99  % (12482)Instruction limit reached! 
% 3.39/0.99  % (12482)------------------------------
% 3.39/0.99  % (12482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.99  % (12482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.99  % (12482)CaDiCaL version: 2.1.3
% 3.39/0.99  % (12482)Termination reason: Instruction limit
% 3.39/0.99  % (12482)Termination phase: Saturation
% 3.39/0.99  % (12482)Time elapsed: 0.070 s
% 3.39/0.99  % (12482)Peak memory usage: 13 MB
% 3.39/0.99  % (12482)Instructions burned: 138 (million)
% 3.39/0.99  % (12494)Refutation not found, incomplete strategy
% 3.39/0.99  % (12494)------------------------------
% 3.39/0.99  % (12494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.99  % (12494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.99  % (12494)CaDiCaL version: 2.1.3
% 3.39/0.99  % (12494)Termination reason: Refutation not found, incomplete strategy
% 3.39/0.99  % (12494)Time elapsed: 0.016 s
% 3.39/0.99  % (12494)Peak memory usage: 12 MB
% 3.39/0.99  % (12494)Instructions burned: 33 (million)
% 3.39/0.99  % (12494)------------------------------
% 3.39/0.99  % (12494)------------------------------
% 3.39/0.99  % (12492)Instruction limit reached! 
% 3.39/0.99  % (12492)------------------------------
% 3.39/0.99  % (12492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.99  % (12492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.99  % (12492)CaDiCaL version: 2.1.3
% 3.39/0.99  % (12492)Termination reason: Instruction limit
% 3.39/0.99  % (12492)Termination phase: Function definition elimination
% 3.39/0.99  % (12492)Time elapsed: 0.040 s
% 3.39/0.99  % (12492)Peak memory usage: 11 MB
% 3.39/0.99  % (12492)Instructions burned: 97 (million)
% 3.39/0.99  % (12497)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1108271372:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/874Mi)
% 3.39/0.99  % (12498)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=938045515:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/515Mi)
% 3.39/0.99  % (12499)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=214941906:st=1.5:i=130:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 3.39/0.99  % (12486)Instruction limit reached! 
% 3.39/0.99  % (12486)------------------------------
% 3.39/0.99  % (12486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.99  % (12486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.99  % (12486)CaDiCaL version: 2.1.3
% 3.39/0.99  % (12486)Termination reason: Instruction limit
% 3.39/0.99  % (12486)Termination phase: Property scanning
% 3.39/0.99  % (12486)Time elapsed: 0.092 s
% 3.39/0.99  % (12486)Peak memory usage: 11 MB
% 3.39/0.99  % (12486)Instructions burned: 180 (million)
% 3.39/0.99  % (12503)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4079044680:i=44:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/44Mi)
% 3.39/0.99  % (12499) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-12376-12499"...
% 3.39/0.99  % (12499)...printing done.
% 3.39/0.99  % (12499)Refutation found. Thanks to Tanya!
% 3.39/0.99  % SZS status Theorem for theBenchmark
% 3.39/0.99  % SZS output start Proof for theBenchmark
% See solution above
% 3.39/0.99  % (12499)------------------------------
% 3.39/0.99  % (12499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.99  % (12499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.99  % (12499)CaDiCaL version: 2.1.3
% 3.39/0.99  % (12499)Termination reason: Refutation
% 3.39/0.99  % (12499)Time elapsed: 0.046 s
% 3.39/0.99  % (12499)Peak memory usage: 13 MB
% 3.39/0.99  % (12499)Instructions burned: 54 (million)
% 3.39/0.99  % (12376)Success in time 0.715 s
% 3.39/0.99  % Vampire exiting
%------------------------------------------------------------------------------