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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP060^1 : TPTP v9.3.1. Released v7.5.0.
% 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 08:08:10 AM UTC 2026

% Result   : Theorem 2.08s 0.60s
% Output   : Refutation 2.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   59 (  25 unt;   0 typ;   5 def)
%            Number of atoms       :  166 (  49 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  383 (  40   ~;  33   |;   0   &; 296   @)
%                                         (   5 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  153 ( 150 usr;  20 con; 0-5 aty)
%            Number of variables   :   38 (   0 sgn  38   !;   0   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    list_c1059388851t_unit: $tType ).

thf(type_def_6,type,
    config256849571t_unit: $tType ).

thf(type_def_7,type,
    list_message_p_v: $tType ).

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

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

thf(type_def_10,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    enabled_p_v_s: config256849571t_unit > message_p_v > $o ).

thf(func_def_1,type,
    firstO1414030372_p_v_s: list_c1059388851t_unit > list_message_p_v > message_p_v > nat > $o ).

thf(func_def_2,type,
    fLPThe1519354920_p_v_s: config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > list_c1059388851t_unit ).

thf(func_def_3,type,
    fLPThe536531371_p_v_s: config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > list_message_p_v ).

thf(func_def_4,type,
    minus_minus_nat: nat > nat > nat ).

thf(func_def_5,type,
    one_one_nat: nat ).

thf(func_def_6,type,
    zero_zero_nat: nat ).

thf(func_def_7,type,
    prefix1615116500t_unit: list_c1059388851t_unit > list_c1059388851t_unit > $o ).

thf(func_def_8,type,
    prefix47729710ge_p_v: list_message_p_v > list_message_p_v > $o ).

thf(func_def_9,type,
    last_c571238084t_unit: list_c1059388851t_unit > config256849571t_unit ).

thf(func_def_10,type,
    last_message_p_v: list_message_p_v > message_p_v ).

thf(func_def_11,type,
    nil_co1338500125t_unit: list_c1059388851t_unit ).

thf(func_def_12,type,
    nil_message_p_v: list_message_p_v ).

thf(func_def_13,type,
    nth_co1649820636t_unit: list_c1059388851t_unit > nat > config256849571t_unit ).

thf(func_def_14,type,
    nth_message_p_v: list_message_p_v > nat > message_p_v ).

thf(func_def_15,type,
    suc: nat > nat ).

thf(func_def_16,type,
    size_s1406904903t_unit: list_c1059388851t_unit > nat ).

thf(func_def_17,type,
    size_s1168481041ge_p_v: list_message_p_v > nat ).

thf(func_def_18,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_19,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_20,type,
    fe: nat > list_c1059388851t_unit ).

thf(func_def_21,type,
    ft: nat > list_message_p_v ).

thf(func_def_22,type,
    index: nat ).

thf(func_def_23,type,
    msgInSet: message_p_v ).

thf(func_def_24,type,
    msg: message_p_v ).

thf(func_def_25,type,
    n0: nat ).

thf(func_def_26,type,
    n1: nat ).

thf(func_def_27,type,
    nMsg: nat ).

thf(func_def_28,type,
    n: nat ).

thf(func_def_32,type,
    vOR: $o > $o > $o ).

thf(func_def_33,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_34,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_35,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_36,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_37,type,
    vAND: $o > $o > $o ).

thf(func_def_38,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_39,type,
    vIMP: $o > $o > $o ).

thf(func_def_40,type,
    db2: 
      !>[X0: $tType] : X0 ).

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

thf(func_def_42,type,
    sK0: nat > nat > nat ).

thf(func_def_43,type,
    sK1: ( nat > $o ) > nat ).

thf(func_def_44,type,
    sK2: nat > nat ).

thf(func_def_45,type,
    sK3: ( nat > nat ) > nat ).

thf(func_def_46,type,
    sK4: ( nat > $o ) > nat ).

thf(func_def_47,type,
    sK5: ( nat > $o ) > nat ).

thf(func_def_48,type,
    sK6: nat > ( nat > message_p_v > $o ) > list_message_p_v ).

thf(func_def_49,type,
    sK7: nat > ( nat > message_p_v > $o ) > nat ).

thf(func_def_50,type,
    sK8: nat > ( nat > message_p_v > $o ) > message_p_v ).

thf(func_def_51,type,
    sK9: list_message_p_v > nat > ( nat > message_p_v > $o ) > nat ).

thf(func_def_52,type,
    sK10: ( nat > nat ) > nat ).

thf(func_def_53,type,
    sK11: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).

thf(func_def_54,type,
    sK12: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).

thf(func_def_55,type,
    sK13: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).

thf(func_def_56,type,
    sK14: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).

thf(func_def_57,type,
    sK15: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).

thf(func_def_58,type,
    sK16: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).

thf(func_def_59,type,
    sK17: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).

thf(func_def_60,type,
    sK18: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).

thf(func_def_61,type,
    sK19: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > nat ).

thf(func_def_62,type,
    sK20: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).

thf(func_def_63,type,
    sK21: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).

thf(func_def_64,type,
    sK22: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).

thf(func_def_65,type,
    sK23: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).

thf(func_def_66,type,
    sK24: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > nat ).

thf(func_def_67,type,
    sK25: nat > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > config256849571t_unit > list_message_p_v > nat ).

thf(func_def_68,type,
    sK26: ( nat > nat > $o ) > nat ).

thf(func_def_69,type,
    sK27: ( nat > nat > $o ) > nat ).

thf(func_def_70,type,
    sK28: ( nat > nat > $o ) > nat ).

thf(func_def_71,type,
    sK29: ( nat > nat > $o ) > nat ).

thf(func_def_72,type,
    sK30: ( nat > $o ) > nat ).

thf(func_def_73,type,
    sK31: ( nat > $o ) > nat ).

thf(func_def_74,type,
    sK32: nat > ( nat > config256849571t_unit > $o ) > config256849571t_unit ).

thf(func_def_75,type,
    sK33: list_c1059388851t_unit > nat > ( nat > config256849571t_unit > $o ) > nat ).

thf(func_def_76,type,
    sK34: nat > ( nat > config256849571t_unit > $o ) > list_c1059388851t_unit ).

thf(func_def_77,type,
    sK35: nat > ( nat > config256849571t_unit > $o ) > nat ).

thf(func_def_78,type,
    sK36: ( nat > nat ) > nat ).

thf(func_def_79,type,
    sK37: ( nat > $o ) > nat > nat ).

thf(func_def_80,type,
    sK38: ( nat > nat ) > nat ).

thf(func_def_81,type,
    sK39: ( list_message_p_v > $o ) > list_message_p_v ).

thf(func_def_82,type,
    sK40: nat > nat ).

thf(func_def_83,type,
    sK41: list_message_p_v > list_message_p_v > nat ).

thf(func_def_84,type,
    sK42: ( nat > nat > $o ) > nat ).

thf(func_def_85,type,
    sK43: ( nat > nat > $o ) > nat ).

thf(func_def_86,type,
    sK44: ( nat > nat > $o ) > nat ).

thf(func_def_87,type,
    sK45: ( nat > nat > $o ) > nat ).

thf(func_def_88,type,
    sK46: ( nat > nat > $o ) > nat ).

thf(func_def_89,type,
    sK47: nat > nat > nat ).

thf(func_def_90,type,
    sK48: ( nat > nat ) > nat ).

thf(func_def_91,type,
    sK49: ( nat > nat ) > nat ).

thf(func_def_92,type,
    sK50: ( nat > $o ) > nat > nat ).

thf(func_def_93,type,
    sK51: ( nat > $o ) > nat ).

thf(func_def_94,type,
    sK52: nat > nat > nat ).

thf(func_def_95,type,
    sK53: ( nat > $o ) > nat ).

thf(func_def_96,type,
    sK54: nat > ( nat > $o ) > nat ).

thf(func_def_97,type,
    sK55: nat > ( nat > $o ) > nat > nat ).

thf(func_def_98,type,
    sK56: nat > nat ).

thf(func_def_99,type,
    sK57: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_100,type,
    sK58: nat > nat > nat ).

thf(func_def_101,type,
    sK59: nat > list_message_p_v ).

thf(func_def_102,type,
    sK60: nat > nat ).

thf(func_def_103,type,
    sK61: list_c1059388851t_unit > list_c1059388851t_unit > nat ).

thf(func_def_104,type,
    sK62: ( nat > $o ) > nat > nat ).

thf(func_def_105,type,
    sK63: ( nat > $o ) > nat > nat ).

thf(func_def_106,type,
    sK64: ( nat > $o ) > nat ).

thf(func_def_107,type,
    sK65: nat > ( nat > $o ) > nat ).

thf(func_def_108,type,
    sK66: nat > ( nat > $o ) > nat ).

thf(func_def_109,type,
    sK67: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).

thf(func_def_110,type,
    sK68: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).

thf(func_def_111,type,
    sK69: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).

thf(func_def_112,type,
    sK70: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > nat ).

thf(func_def_113,type,
    sK71: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).

thf(func_def_114,type,
    sK72: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).

thf(func_def_115,type,
    sK73: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).

thf(func_def_116,type,
    sK74: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).

thf(func_def_117,type,
    sK75: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).

thf(func_def_118,type,
    sK76: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).

thf(func_def_119,type,
    sK77: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).

thf(func_def_120,type,
    sK78: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > nat ).

thf(func_def_121,type,
    sK79: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).

thf(func_def_122,type,
    sK80: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).

thf(func_def_123,type,
    sK81: nat ).

thf(func_def_124,type,
    sK82: nat ).

thf(func_def_125,type,
    sK83: nat > message_p_v > nat > nat ).

thf(func_def_126,type,
    sK84: ( nat > $o ) > nat > nat ).

thf(func_def_127,type,
    sK85: ( nat > $o ) > nat > nat ).

thf(func_def_128,type,
    sK86: ( nat > $o ) > nat > nat > nat ).

thf(func_def_129,type,
    sK87: ( nat > $o ) > nat ).

thf(func_def_130,type,
    sK88: ( nat > $o ) > nat ).

thf(func_def_131,type,
    sK89: nat > nat ).

thf(func_def_132,type,
    sK90: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).

thf(func_def_133,type,
    sK91: nat > ( nat > $o ) > nat ).

thf(func_def_134,type,
    sK92: nat > list_c1059388851t_unit ).

thf(func_def_135,type,
    sK93: nat > ( nat > $o ) > nat ).

thf(func_def_136,type,
    sK94: nat > ( nat > $o ) > nat ).

thf(func_def_137,type,
    sK95: ( nat > $o ) > nat > nat ).

thf(func_def_138,type,
    sK96: ( nat > $o ) > nat ).

thf(func_def_139,type,
    sK97: ( nat > nat > $o ) > nat ).

thf(func_def_140,type,
    sK98: ( nat > nat > $o ) > nat ).

thf(func_def_141,type,
    sK99: ( nat > nat > $o ) > nat ).

thf(func_def_142,type,
    sK100: ( nat > nat > $o ) > nat ).

thf(func_def_143,type,
    sK101: ( nat > $o ) > nat ).

thf(func_def_144,type,
    sK102: nat > ( nat > $o ) > nat ).

thf(func_def_145,type,
    sK103: nat > ( nat > $o ) > nat ).

thf(func_def_147,type,
    inv_suc_105: nat > nat ).

thf(f1,axiom,
    ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Occ3_H) ).

thf(f11,axiom,
    ! [X0: nat] : ( prefix1615116500t_unit @ ( fe @ X0 ) @ ( fe @ ( suc @ X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_IPrefixListEx) ).

thf(f137,axiom,
    ( one_one_nat
    = ( suc @ zero_zero_nat ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_136_One__nat__def) ).

thf(f155,axiom,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( ord_less_nat @ X0 @ X1 )
     => ( ord_less_nat @ ( minus_minus_nat @ X0 @ X2 ) @ X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_154_less__imp__diff__less) ).

thf(f213,axiom,
    ! [X0: list_c1059388851t_unit,X1: list_c1059388851t_unit] :
      ( ( prefix1615116500t_unit @ X0 @ X1 )
     => ! [X2: nat] :
          ( ( ord_less_nat @ X2 @ ( size_s1406904903t_unit @ X0 ) )
         => ( ( nth_co1649820636t_unit @ X0 @ X2 )
            = ( nth_co1649820636t_unit @ X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212_PrefixSameOnLow) ).

thf(f245,conjecture,
    ( ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
    = ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f246,negated_conjecture,
    ( ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
   != ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
    inference(negated_conjecture,[status(cth)],[f245]) ).

thf(f273,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( ord_less_nat @ X0 @ X1 )
     => ( ord_less_nat @ ( minus_minus_nat @ X0 @ X2 ) @ X1 ) ),
    inference(rectify,[],[f155]) ).

thf(f274,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( ( ord_less_nat @ X0 @ X1 )
        = $true )
     => ( ( ord_less_nat @ ( minus_minus_nat @ X0 @ X2 ) @ X1 )
        = $true ) ),
    inference(fool_elimination,[],[f273]) ).

thf(f347,plain,
    ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ),
    inference(rectify,[],[f1]) ).

thf(f348,plain,
    ( ( ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
    = $true ),
    inference(fool_elimination,[],[f347]) ).

thf(f450,plain,
    ! [X0: list_c1059388851t_unit,X1: list_c1059388851t_unit] :
      ( ( prefix1615116500t_unit @ X0 @ X1 )
     => ! [X2: nat] :
          ( ( ord_less_nat @ X2 @ ( size_s1406904903t_unit @ X0 ) )
         => ( ( nth_co1649820636t_unit @ X0 @ X2 )
            = ( nth_co1649820636t_unit @ X1 @ X2 ) ) ) ),
    inference(rectify,[],[f213]) ).

thf(f451,plain,
    ! [X1: list_c1059388851t_unit,X0: list_c1059388851t_unit] :
      ( ( ( prefix1615116500t_unit @ X0 @ X1 )
        = $true )
     => ! [X2: nat] :
          ( ( ( ord_less_nat @ X2 @ ( size_s1406904903t_unit @ X0 ) )
            = $true )
         => ( ( nth_co1649820636t_unit @ X0 @ X2 )
            = ( nth_co1649820636t_unit @ X1 @ X2 ) ) ) ),
    inference(fool_elimination,[],[f450]) ).

thf(f535,plain,
    ! [X0: nat] : ( prefix1615116500t_unit @ ( fe @ X0 ) @ ( fe @ ( suc @ X0 ) ) ),
    inference(rectify,[],[f11]) ).

thf(f536,plain,
    ! [X0: nat] :
      ( ( prefix1615116500t_unit @ ( fe @ X0 ) @ ( fe @ ( suc @ X0 ) ) )
      = $true ),
    inference(fool_elimination,[],[f535]) ).

thf(f656,plain,
    ( ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
   != ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
    inference(flattening,[],[f246]) ).

thf(f763,plain,
    ! [X2: nat,X1: nat,X0: nat] :
      ( ( ( ord_less_nat @ ( minus_minus_nat @ X0 @ X2 ) @ X1 )
        = $true )
      | ( ( ord_less_nat @ X0 @ X1 )
       != $true ) ),
    inference(ennf_transformation,[],[f274]) ).

thf(f764,plain,
    ! [X0: list_c1059388851t_unit,X1: list_c1059388851t_unit] :
      ( ( ( prefix1615116500t_unit @ X0 @ X1 )
       != $true )
      | ! [X2: nat] :
          ( ( ( nth_co1649820636t_unit @ X0 @ X2 )
            = ( nth_co1649820636t_unit @ X1 @ X2 ) )
          | ( ( ord_less_nat @ X2 @ ( size_s1406904903t_unit @ X0 ) )
           != $true ) ) ),
    inference(ennf_transformation,[],[f451]) ).

thf(f884,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( ( ord_less_nat @ ( minus_minus_nat @ X2 @ X0 ) @ X1 )
        = $true )
      | ( ( ord_less_nat @ X2 @ X1 )
       != $true ) ),
    inference(rectify,[],[f763]) ).

thf(f1053,plain,
    ( ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
   != ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
    inference(cnf_transformation,[],[f656]) ).

thf(f1123,plain,
    ! [X2: nat,X0: nat,X1: nat] :
      ( ( ( ord_less_nat @ ( minus_minus_nat @ X2 @ X0 ) @ X1 )
        = $true )
      | ( ( ord_less_nat @ X2 @ X1 )
       != $true ) ),
    inference(cnf_transformation,[],[f884]) ).

thf(f1152,plain,
    ( one_one_nat
    = ( suc @ zero_zero_nat ) ),
    inference(cnf_transformation,[],[f137]) ).

thf(f1170,plain,
    ( ( ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
    = $true ),
    inference(cnf_transformation,[],[f348]) ).

thf(f1226,plain,
    ! [X2: nat,X0: list_c1059388851t_unit,X1: list_c1059388851t_unit] :
      ( ( ( nth_co1649820636t_unit @ X0 @ X2 )
        = ( nth_co1649820636t_unit @ X1 @ X2 ) )
      | ( ( ord_less_nat @ X2 @ ( size_s1406904903t_unit @ X0 ) )
       != $true )
      | ( ( prefix1615116500t_unit @ X0 @ X1 )
       != $true ) ),
    inference(cnf_transformation,[],[f764]) ).

thf(f1271,plain,
    ! [X0: nat] :
      ( ( prefix1615116500t_unit @ ( fe @ X0 ) @ ( fe @ ( suc @ X0 ) ) )
      = $true ),
    inference(cnf_transformation,[],[f536]) ).

thf(f1571,definition,
    ( spl104_21
  <=> ( ( ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl104_21])],[avatar_definition]) ).

thf(f1573,plain,
    ( ( ( ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
      = $true )
    | ~ spl104_21 ),
    inference(avatar_component_clause,[],[f1571]) ).

thf(f1574,plain,
    spl104_21,
    inference(avatar_split_clause,[],[f1170,f1571]) ).

thf(f1706,definition,
    ( spl104_48
  <=> ( one_one_nat
      = ( suc @ zero_zero_nat ) ) ),
    introduced(definition,[new_symbols(definition,[spl104_48])],[avatar_definition]) ).

thf(f1708,plain,
    ( ( one_one_nat
      = ( suc @ zero_zero_nat ) )
    | ~ spl104_48 ),
    inference(avatar_component_clause,[],[f1706]) ).

thf(f1709,plain,
    spl104_48,
    inference(avatar_split_clause,[],[f1152,f1706]) ).

thf(f1731,definition,
    ( spl104_53
  <=> ( ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
      = ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl104_53])],[avatar_definition]) ).

thf(f1733,plain,
    ( ( ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
     != ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) )
    | spl104_53 ),
    inference(avatar_component_clause,[],[f1731]) ).

thf(f1734,plain,
    ~ spl104_53,
    inference(avatar_split_clause,[],[f1053,f1731]) ).

thf(f1746,plain,
    ( ( ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) )
     != ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) ) )
    | ~ spl104_48
    | spl104_53 ),
    inference(forward_demodulation,[],[f1733,f1708]) ).

thf(f1748,definition,
    ( spl104_55
  <=> ( ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) )
      = ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl104_55])],[avatar_definition]) ).

thf(f1750,plain,
    ( ( ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) )
     != ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) ) )
    | spl104_55 ),
    inference(avatar_component_clause,[],[f1748]) ).

thf(f1751,plain,
    ( ~ spl104_55
    | ~ spl104_48
    | spl104_53 ),
    inference(avatar_split_clause,[],[f1746,f1731,f1706,f1748]) ).

thf(f2942,plain,
    ( ! [X0: list_c1059388851t_unit] :
        ( ( ( nth_co1649820636t_unit @ X0 @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) )
         != ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) ) )
        | ( ( prefix1615116500t_unit @ X0 @ ( fe @ ( suc @ index ) ) )
         != $true )
        | ( ( ord_less_nat @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) @ ( size_s1406904903t_unit @ X0 ) )
         != $true ) )
    | spl104_55 ),
    inference(superposition,[],[f1750,f1226]) ).

thf(f2957,definition,
    ( spl104_96
  <=> ( ( ord_less_nat @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl104_96])],[avatar_definition]) ).

thf(f2959,plain,
    ( ( ( ord_less_nat @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
     != $true )
    | spl104_96 ),
    inference(avatar_component_clause,[],[f2957]) ).

thf(f3001,plain,
    ( ( ( ord_less_nat @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
     != $true )
    | ( ( prefix1615116500t_unit @ ( fe @ index ) @ ( fe @ ( suc @ index ) ) )
     != $true )
    | spl104_55 ),
    inference(equality_resolution,[],[f2942]) ).

thf(f3007,plain,
    ( ( ( ord_less_nat @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
     != $true )
    | spl104_55 ),
    inference(forward_subsumption_resolution,[],[f3001,f1271]) ).

thf(f3008,plain,
    ( ~ spl104_96
    | spl104_55 ),
    inference(avatar_split_clause,[],[f3007,f1748,f2957]) ).

thf(f5879,plain,
    ( ( $true != $true )
    | ( ( ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
     != $true )
    | spl104_96 ),
    inference(superposition,[],[f2959,f1123]) ).

thf(f5882,plain,
    ( ( ( ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
     != $true )
    | spl104_96 ),
    inference(trivial_inequality_removal,[],[f5879]) ).

thf(f5885,plain,
    ( $false
    | ~ spl104_21
    | spl104_96 ),
    inference(forward_subsumption_resolution,[],[f5882,f1573]) ).

thf(f5886,plain,
    ( ~ spl104_21
    | spl104_96 ),
    inference(avatar_contradiction_clause,[],[f5885]) ).

cnf(s21,plain,
    spl104_21,
    inference(sat_conversion,[],[f1574]) ).

cnf(s58,plain,
    spl104_48,
    inference(sat_conversion,[],[f1709]) ).

cnf(s63,plain,
    ~ spl104_53,
    inference(sat_conversion,[],[f1734]) ).

cnf(s66,plain,
    ( ~ spl104_48
    | spl104_53
    | ~ spl104_55 ),
    inference(sat_conversion,[],[f1751]) ).

cnf(s110,plain,
    ( spl104_55
    | ~ spl104_96 ),
    inference(sat_conversion,[],[f3008]) ).

cnf(s237,plain,
    ( ~ spl104_21
    | spl104_96 ),
    inference(sat_conversion,[],[f5886]) ).

cnf(s245,plain,
    ~ spl104_55,
    inference(rat,[],[s66,s63,s58]) ).

cnf(s246,plain,
    ~ spl104_96,
    inference(rat,[],[s110,s245]) ).

cnf(s248,plain,
    ~ spl104_21,
    inference(rat,[],[s237,s246]) ).

cnf(s290,plain,
    $false,
    inference(rat,[],[s21,s248]) ).

thf(f5901,plain,
    $false,
    inference(avatar_sat_refutation,[],[s290]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP060^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n011.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Tue Sep 29 19:44:46 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21  Running higher-order theorem proving
% 0.09/0.25  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
% 0.58/0.41  % (550211)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.58/0.41  % (550217)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1993286016:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.58/0.41  % (550218)lrs+10_16_si=on:nwc=1.5:random_seed=2740566956:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.58/0.41  % (550219)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2626840579:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.58/0.41  % (550221)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=274262958:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.58/0.41  % (550220)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=1056176308: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)
% 0.58/0.41  % (550219)Instruction limit reached! 
% 0.58/0.41  % (550219)------------------------------
% 0.58/0.41  % (550219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.41  % (550219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.41  % (550219)CaDiCaL version: 2.1.3
% 0.58/0.41  % (550219)Termination reason: Instruction limit
% 0.58/0.41  % (550219)Termination phase: shuffling
% 0.58/0.41  % (550219)Time elapsed: 0.003 s
% 0.58/0.41  % (550219)Peak memory usage: 10 MB
% 0.58/0.41  % (550219)Instructions burned: 7 (million)
% 0.58/0.41  % (550218)Instruction limit reached! 
% 0.58/0.41  % (550218)------------------------------
% 0.58/0.41  % (550218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.41  % (550218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.41  % (550218)CaDiCaL version: 2.1.3
% 0.58/0.41  % (550218)Termination reason: Instruction limit
% 0.58/0.41  % (550218)Termination phase: Property scanning
% 0.58/0.41  % (550218)Time elapsed: 0.009 s
% 0.58/0.41  % (550218)Peak memory usage: 10 MB
% 0.58/0.41  % (550218)Instructions burned: 20 (million)
% 0.58/0.41  % (550221)Instruction limit reached! 
% 0.58/0.41  % (550221)------------------------------
% 0.58/0.41  % (550221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.41  % (550221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.41  % (550221)CaDiCaL version: 2.1.3
% 0.58/0.41  % (550221)Termination reason: Instruction limit
% 0.58/0.41  % (550221)Termination phase: Preprocessing 3
% 0.58/0.41  % (550221)Time elapsed: 0.011 s
% 0.58/0.41  % (550221)Peak memory usage: 10 MB
% 0.58/0.41  % (550221)Instructions burned: 25 (million)
% 0.58/0.41  % (550223)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.58/0.41  % (550223)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
% 0.58/0.41  % (550217)Instruction limit reached! 
% 0.58/0.41  % (550217)------------------------------
% 0.58/0.41  % (550217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.41  % (550217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.41  % (550217)CaDiCaL version: 2.1.3
% 0.58/0.41  % (550217)Termination reason: Instruction limit
% 0.58/0.41  % (550217)Termination phase: Saturation
% 0.58/0.41  % (550217)Time elapsed: 0.021 s
% 0.58/0.41  % (550217)Peak memory usage: 12 MB
% 0.58/0.41  % (550217)Instructions burned: 87 (million)
% 0.58/0.41  % (550222)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1491010401:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.58/0.41  % (550223)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=2905445034:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.58/0.41  % (550231)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.41  % (550230)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1950678312:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.58/0.41  % (550230)Instruction limit reached! 
% 0.58/0.44  % (550230)------------------------------
% 0.58/0.44  % (550230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44  % (550230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44  % (550230)CaDiCaL version: 2.1.3
% 0.58/0.44  % (550230)Termination reason: Instruction limit
% 0.58/0.44  % (550230)Termination phase: shuffling
% 0.58/0.44  % (550230)Time elapsed: 0.003 s
% 0.58/0.44  % (550230)Peak memory usage: 10 MB
% 0.58/0.44  % (550230)Instructions burned: 6 (million)
% 0.58/0.44  % (550231)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1429900540:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.58/0.44  % (550231)Instruction limit reached! 
% 0.58/0.44  % (550231)------------------------------
% 0.58/0.44  % (550231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44  % (550231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44  % (550231)CaDiCaL version: 2.1.3
% 0.58/0.44  % (550231)Termination reason: Instruction limit
% 0.58/0.44  % (550231)Termination phase: shuffling
% 0.58/0.44  % (550231)Time elapsed: 0.004 s
% 0.58/0.44  % (550231)Peak memory usage: 10 MB
% 0.58/0.44  % (550231)Instructions burned: 8 (million)
% 0.58/0.44  % (550229)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=677533132:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.58/0.44  % (550229)Instruction limit reached! 
% 0.58/0.44  % (550229)------------------------------
% 0.58/0.44  % (550229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44  % (550229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44  % (550229)CaDiCaL version: 2.1.3
% 0.58/0.44  % (550229)Termination reason: Instruction limit
% 0.58/0.44  % (550229)Termination phase: shuffling
% 0.58/0.44  % (550229)Time elapsed: 0.004 s
% 0.58/0.44  % (550229)Peak memory usage: 9 MB
% 0.58/0.44  % (550229)Instructions burned: 11 (million)
% 0.58/0.44  % (550232)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3401782522:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.58/0.44  % (550237)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
% 0.58/0.44  % (550237)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.44  % (550237)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2749097034:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.58/0.44  % (550232)Instruction limit reached! 
% 0.58/0.44  % (550232)------------------------------
% 0.58/0.44  % (550232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44  % (550232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44  % (550232)CaDiCaL version: 2.1.3
% 0.58/0.44  % (550232)Termination reason: Instruction limit
% 0.58/0.44  % (550232)Termination phase: Property scanning
% 0.58/0.44  % (550232)Time elapsed: 0.007 s
% 0.58/0.44  % (550232)Peak memory usage: 10 MB
% 0.58/0.44  % (550232)Instructions burned: 14 (million)
% 0.58/0.44  % (550238)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=3286628991:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.58/0.44  % (550241)lrs+10_1_si=on:cs=on:random_seed=2924255596:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.58/0.44  % (550241)Instruction limit reached! 
% 0.58/0.44  % (550241)------------------------------
% 0.58/0.44  % (550241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44  % (550241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44  % (550241)CaDiCaL version: 2.1.3
% 0.58/0.44  % (550241)Termination reason: Instruction limit
% 0.58/0.44  % (550241)Termination phase: shuffling
% 0.58/0.44  % (550241)Time elapsed: 0.002 s
% 0.58/0.44  % (550241)Peak memory usage: 10 MB
% 0.58/0.44  % (550241)Instructions burned: 8 (million)
% 0.58/0.44  % (550237)Instruction limit reached! 
% 0.58/0.44  % (550237)------------------------------
% 0.58/0.44  % (550237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.48  % (550237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.48  % (550237)CaDiCaL version: 2.1.3
% 0.58/0.48  % (550237)Termination reason: Instruction limit
% 0.58/0.48  % (550237)Termination phase: Property scanning
% 0.58/0.48  % (550237)Time elapsed: 0.013 s
% 0.58/0.48  % (550237)Peak memory usage: 10 MB
% 0.58/0.48  % (550237)Instructions burned: 30 (million)
% 0.58/0.48  % (550243)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.58/0.48  % (550243)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=1518504814:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.58/0.48  % (550246)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2538860415:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.58/0.48  % (550243)Instruction limit reached! 
% 0.58/0.48  % (550243)------------------------------
% 0.58/0.48  % (550243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.48  % (550243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.48  % (550243)CaDiCaL version: 2.1.3
% 0.58/0.48  % (550243)Termination reason: Instruction limit
% 0.58/0.48  % (550243)Termination phase: shuffling
% 0.58/0.48  % (550243)Time elapsed: 0.002 s
% 0.58/0.48  % (550243)Peak memory usage: 10 MB
% 0.58/0.48  % (550243)Instructions burned: 4 (million)
% 0.58/0.48  % (550222)Instruction limit reached! 
% 0.58/0.48  % (550222)------------------------------
% 0.58/0.48  % (550222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.48  % (550222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.48  % (550222)CaDiCaL version: 2.1.3
% 0.58/0.48  % (550222)Termination reason: Instruction limit
% 0.58/0.48  % (550222)Termination phase: Property scanning
% 0.58/0.48  % (550222)Time elapsed: 0.061 s
% 0.58/0.48  % (550222)Peak memory usage: 11 MB
% 0.58/0.48  % (550222)Instructions burned: 75 (million)
% 0.58/0.48  % (550246)Instruction limit reached! 
% 0.58/0.48  % (550246)------------------------------
% 0.58/0.48  % (550246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.48  % (550246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.48  % (550246)CaDiCaL version: 2.1.3
% 0.58/0.48  % (550246)Termination reason: Instruction limit
% 0.58/0.48  % (550246)Termination phase: Property scanning
% 0.58/0.48  % (550246)Time elapsed: 0.010 s
% 0.58/0.48  % (550246)Peak memory usage: 11 MB
% 0.58/0.48  % (550246)Instructions burned: 40 (million)
% 0.58/0.48  % (550247)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1684862642:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.58/0.48  % (550251)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=429292503:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.58/0.48  % (550238)Instruction limit reached! 
% 0.58/0.48  % (550238)------------------------------
% 0.58/0.48  % (550238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.48  % (550238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.48  % (550238)CaDiCaL version: 2.1.3
% 0.58/0.48  % (550238)Termination reason: Instruction limit
% 0.58/0.48  % (550238)Termination phase: Property scanning
% 0.58/0.48  % (550238)Time elapsed: 0.036 s
% 0.58/0.48  % (550238)Peak memory usage: 11 MB
% 0.58/0.48  % (550238)Instructions burned: 88 (million)
% 0.58/0.48  % (550250)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1164773504:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.58/0.48  % (550251)Instruction limit reached! 
% 0.58/0.48  % (550251)------------------------------
% 0.58/0.48  % (550251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.48  % (550251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.48  % (550251)CaDiCaL version: 2.1.3
% 0.58/0.48  % (550251)Termination reason: Instruction limit
% 0.58/0.48  % (550251)Termination phase: Property scanning
% 0.58/0.48  % (550251)Time elapsed: 0.004 s
% 0.58/0.48  % (550251)Peak memory usage: 10 MB
% 0.58/0.48  % (550251)Instructions burned: 17 (million)
% 0.58/0.48  % (550252)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3760749390:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.45/0.54  % (550250)Instruction limit reached! 
% 1.45/0.54  % (550250)------------------------------
% 1.45/0.54  % (550250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54  % (550250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54  % (550250)CaDiCaL version: 2.1.3
% 1.45/0.54  % (550250)Termination reason: Instruction limit
% 1.45/0.54  % (550250)Termination phase: SInE selection
% 1.45/0.54  % (550250)Time elapsed: 0.012 s
% 1.45/0.54  % (550250)Peak memory usage: 10 MB
% 1.45/0.54  % (550250)Instructions burned: 26 (million)
% 1.45/0.54  % (550257)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3340468457: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)
% 1.45/0.54  % (550223)Instruction limit reached! 
% 1.45/0.54  % (550223)------------------------------
% 1.45/0.54  % (550223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54  % (550223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54  % (550223)CaDiCaL version: 2.1.3
% 1.45/0.54  % (550223)Termination reason: Instruction limit
% 1.45/0.54  % (550223)Termination phase: Saturation
% 1.45/0.54  % (550223)Time elapsed: 0.087 s
% 1.45/0.54  % (550223)Peak memory usage: 13 MB
% 1.45/0.54  % (550223)Instructions burned: 157 (million)
% 1.45/0.54  % (550257)Instruction limit reached! 
% 1.45/0.54  % (550257)------------------------------
% 1.45/0.54  % (550257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54  % (550257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54  % (550257)CaDiCaL version: 2.1.3
% 1.45/0.54  % (550257)Termination reason: Instruction limit
% 1.45/0.54  % (550257)Termination phase: Property scanning
% 1.45/0.54  % (550257)Time elapsed: 0.003 s
% 1.45/0.54  % (550257)Peak memory usage: 10 MB
% 1.45/0.54  % (550257)Instructions burned: 14 (million)
% 1.45/0.54  % (550256)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3414374606:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.45/0.54  % (550256)Instruction limit reached! 
% 1.45/0.54  % (550256)------------------------------
% 1.45/0.54  % (550256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54  % (550256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54  % (550256)CaDiCaL version: 2.1.3
% 1.45/0.54  % (550256)Termination reason: Instruction limit
% 1.45/0.54  % (550256)Termination phase: Property scanning
% 1.45/0.54  % (550256)Time elapsed: 0.007 s
% 1.45/0.54  % (550256)Peak memory usage: 10 MB
% 1.45/0.54  % (550256)Instructions burned: 16 (million)
% 1.45/0.54  % (550262)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3985967888:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.45/0.54  % (550259)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2011554596:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.45/0.54  % (550261)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1448713758:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.45/0.54  % (550264)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
% 1.45/0.54  % (550264)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.45/0.54  % (550262)Instruction limit reached! 
% 1.45/0.54  % (550262)------------------------------
% 1.45/0.54  % (550262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54  % (550262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54  % (550262)CaDiCaL version: 2.1.3
% 1.45/0.54  % (550262)Termination reason: Instruction limit
% 1.45/0.54  % (550262)Termination phase: Saturation
% 1.45/0.54  % (550262)Time elapsed: 0.015 s
% 1.45/0.54  % (550262)Peak memory usage: 12 MB
% 1.45/0.54  % (550262)Instructions burned: 65 (million)
% 1.45/0.54  % (550259)Instruction limit reached! 
% 1.45/0.54  % (550259)------------------------------
% 1.45/0.54  % (550259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550259)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550259)Termination reason: Instruction limit
% 2.08/0.60  % (550259)Termination phase: Property scanning
% 2.08/0.60  % (550259)Time elapsed: 0.012 s
% 2.08/0.60  % (550259)Peak memory usage: 10 MB
% 2.08/0.60  % (550259)Instructions burned: 28 (million)
% 2.08/0.60  % (550264)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=3845414056:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.08/0.60  % (550261)Instruction limit reached! 
% 2.08/0.60  % (550261)------------------------------
% 2.08/0.60  % (550261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550261)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550261)Termination reason: Instruction limit
% 2.08/0.60  % (550261)Termination phase: Preprocessing 1
% 2.08/0.60  % (550261)Time elapsed: 0.010 s
% 2.08/0.60  % (550261)Peak memory usage: 10 MB
% 2.08/0.60  % (550261)Instructions burned: 23 (million)
% 2.08/0.60  % (550268)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.08/0.60  % (550264)Instruction limit reached! 
% 2.08/0.60  % (550264)------------------------------
% 2.08/0.60  % (550264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550264)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550264)Termination reason: Instruction limit
% 2.08/0.60  % (550264)Termination phase: shuffling
% 2.08/0.60  % (550264)Time elapsed: 0.006 s
% 2.08/0.60  % (550264)Peak memory usage: 10 MB
% 2.08/0.60  % (550264)Instructions burned: 14 (million)
% 2.08/0.60  % (550268)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=1527640463:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.08/0.60  % (550268)Instruction limit reached! 
% 2.08/0.60  % (550268)------------------------------
% 2.08/0.60  % (550268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550268)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550268)Termination reason: Instruction limit
% 2.08/0.60  % (550268)Termination phase: shuffling
% 2.08/0.60  % (550268)Time elapsed: 0.003 s
% 2.08/0.60  % (550268)Peak memory usage: 10 MB
% 2.08/0.60  % (550268)Instructions burned: 13 (million)
% 2.08/0.60  % (550270)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=3384886767:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.08/0.60  % (550271)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2734133787:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.08/0.60  % (550274)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1035116511:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.08/0.60  % (550271)Instruction limit reached! 
% 2.08/0.60  % (550271)------------------------------
% 2.08/0.60  % (550271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550271)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550271)Termination reason: Instruction limit
% 2.08/0.60  % (550271)Termination phase: shuffling
% 2.08/0.60  % (550271)Time elapsed: 0.004 s
% 2.08/0.60  % (550271)Peak memory usage: 10 MB
% 2.08/0.60  % (550271)Instructions burned: 9 (million)
% 2.08/0.60  % (550272)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2268362222:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.08/0.60  % (550274)Instruction limit reached! 
% 2.08/0.60  % (550274)------------------------------
% 2.08/0.60  % (550274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550274)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550274)Termination reason: Instruction limit
% 2.08/0.60  % (550274)Termination phase: SInE selection
% 2.08/0.60  % (550274)Time elapsed: 0.005 s
% 2.08/0.60  % (550274)Peak memory usage: 10 MB
% 2.08/0.60  % (550274)Instructions burned: 23 (million)
% 2.08/0.60  % (550270)Instruction limit reached! 
% 2.08/0.60  % (550270)------------------------------
% 2.08/0.60  % (550270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550270)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550270)Termination reason: Instruction limit
% 2.08/0.60  % (550270)Termination phase: Property scanning
% 2.08/0.60  % (550270)Time elapsed: 0.014 s
% 2.08/0.60  % (550270)Peak memory usage: 10 MB
% 2.08/0.60  % (550270)Instructions burned: 33 (million)
% 2.08/0.60  % (550272)Instruction limit reached! 
% 2.08/0.60  % (550272)------------------------------
% 2.08/0.60  % (550272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550272)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550272)Termination reason: Instruction limit
% 2.08/0.60  % (550272)Termination phase: Property scanning
% 2.08/0.60  % (550272)Time elapsed: 0.010 s
% 2.08/0.60  % (550272)Peak memory usage: 10 MB
% 2.08/0.60  % (550272)Instructions burned: 23 (million)
% 2.08/0.60  % (550280)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2466144974:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.08/0.60  % (550279)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=800421943:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.08/0.60  % (550281)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=893988744:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.08/0.60  % (550283)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=591157867:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.08/0.60  % (550247)Instruction limit reached! 
% 2.08/0.60  % (550247)------------------------------
% 2.08/0.60  % (550247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550247)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550247)Termination reason: Instruction limit
% 2.08/0.60  % (550247)Termination phase: Saturation
% 2.08/0.60  % (550247)Time elapsed: 0.122 s
% 2.08/0.60  % (550247)Peak memory usage: 14 MB
% 2.08/0.60  % (550247)Instructions burned: 249 (million)
% 2.08/0.60  % (550280)Instruction limit reached! 
% 2.08/0.60  % (550280)------------------------------
% 2.08/0.60  % (550280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550280)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550280)Termination reason: Instruction limit
% 2.08/0.60  % (550280)Termination phase: Saturation
% 2.08/0.60  % (550280)Time elapsed: 0.037 s
% 2.08/0.60  % (550280)Peak memory usage: 13 MB
% 2.08/0.60  % (550280)Instructions burned: 146 (million)
% 2.08/0.60  % (550283)Instruction limit reached! 
% 2.08/0.60  % (550283)------------------------------
% 2.08/0.60  % (550283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550283)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550283)Termination reason: Instruction limit
% 2.08/0.60  % (550283)Termination phase: Property scanning
% 2.08/0.60  % (550283)Time elapsed: 0.021 s
% 2.08/0.60  % (550283)Peak memory usage: 11 MB
% 2.08/0.60  % (550283)Instructions burned: 47 (million)
% 2.08/0.60  % (550288)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1639724854:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.08/0.60  % (550287)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.08/0.60  % (550287)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=130226248:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.08/0.60  % (550289)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=1206382348: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)
% 2.08/0.60  % (550287)Instruction limit reached! 
% 2.08/0.60  % (550287)------------------------------
% 2.08/0.60  % (550287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550287)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550287)Termination reason: Instruction limit
% 2.08/0.60  % (550287)Termination phase: shuffling
% 2.08/0.60  % (550287)Time elapsed: 0.004 s
% 2.08/0.60  % (550287)Peak memory usage: 10 MB
% 2.08/0.60  % (550287)Instructions burned: 10 (million)
% 2.08/0.60  % (550293)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.08/0.60  % (550293)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=4263494887:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.08/0.60  % (550293)Instruction limit reached! 
% 2.08/0.60  % (550293)------------------------------
% 2.08/0.60  % (550293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550293)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550293)Termination reason: Instruction limit
% 2.08/0.60  % (550293)Termination phase: shuffling
% 2.08/0.60  % (550293)Time elapsed: 0.003 s
% 2.08/0.60  % (550293)Peak memory usage: 10 MB
% 2.08/0.60  % (550293)Instructions burned: 7 (million)
% 2.08/0.60  % (550288)Instruction limit reached! 
% 2.08/0.60  % (550288)------------------------------
% 2.08/0.60  % (550288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550288)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550288)Termination reason: Instruction limit
% 2.08/0.60  % (550288)Termination phase: Saturation
% 2.08/0.60  % (550288)Time elapsed: 0.050 s
% 2.08/0.60  % (550288)Peak memory usage: 14 MB
% 2.08/0.60  % (550288)Instructions burned: 182 (million)
% 2.08/0.60  % (550295)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1656345449:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.08/0.60  % (550220) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-550211-550220"...
% 2.08/0.60  % (550289)Refutation not found, incomplete strategy
% 2.08/0.60  % (550289)------------------------------
% 2.08/0.60  % (550289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550289)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550289)Termination reason: Refutation not found, incomplete strategy
% 2.08/0.60  % (550289)Time elapsed: 0.052 s
% 2.08/0.60  % (550289)Peak memory usage: 13 MB
% 2.08/0.60  % (550289)Instructions burned: 107 (million)
% 2.08/0.60  % (550220)...printing done.
% 2.08/0.60  % (550289)------------------------------
% 2.08/0.60  % (550289)------------------------------
% 2.08/0.60  % (550220)Refutation found. Thanks to Tanya!
% 2.08/0.60  % SZS status Theorem for theBenchmark
% 2.08/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 2.08/0.60  % (550220)------------------------------
% 2.08/0.60  % (550220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60  % (550220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60  % (550220)CaDiCaL version: 2.1.3
% 2.08/0.60  % (550220)Termination reason: Refutation
% 2.08/0.60  % (550220)Time elapsed: 0.284 s
% 2.08/0.60  % (550220)Peak memory usage: 16 MB
% 2.08/0.60  % (550220)Instructions burned: 527 (million)
% 2.08/0.60  % (550211)Success in time 0.342 s
% 2.08/0.60  % Vampire exiting
%------------------------------------------------------------------------------