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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW473^2 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 08:40:18 AM UTC 2026

% Result   : Theorem 2.03s 0.85s
% Output   : Refutation 2.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   55 (  17 unt;   0 typ;   4 def)
%            Number of atoms       :  312 (  56 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  349 (  43   ~;  36   |;   9   &; 251   @)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  257 ( 254 usr;  12 con; 0-4 aty)
%            Number of variables   :   39 (   0 sgn  39   !;   0   ?;  39   :)

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

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

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

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

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

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

thf(func_def_0,type,
    body: pname > option_com ).

thf(func_def_1,type,
    finite_card_a_o: ( ( x_a > $o ) > $o ) > nat ).

thf(func_def_2,type,
    finite_card_pname_o: ( ( pname > $o ) > $o ) > nat ).

thf(func_def_3,type,
    finite_card_nat_o: ( ( nat > $o ) > $o ) > nat ).

thf(func_def_4,type,
    finite_card_a: ( x_a > $o ) > nat ).

thf(func_def_5,type,
    finite_card_pname: ( pname > $o ) > nat ).

thf(func_def_6,type,
    finite_card_nat: ( nat > $o ) > nat ).

thf(func_def_7,type,
    finite_finite_a_o_o: ( ( ( x_a > $o ) > $o ) > $o ) > $o ).

thf(func_def_8,type,
    finite1066544169me_o_o: ( ( ( pname > $o ) > $o ) > $o ) > $o ).

thf(func_def_9,type,
    finite1676163439at_o_o: ( ( ( nat > $o ) > $o ) > $o ) > $o ).

thf(func_def_10,type,
    finite_finite_a_o: ( ( x_a > $o ) > $o ) > $o ).

thf(func_def_11,type,
    finite297249702name_o: ( ( pname > $o ) > $o ) > $o ).

thf(func_def_12,type,
    finite_finite_nat_o: ( ( nat > $o ) > $o ) > $o ).

thf(func_def_13,type,
    finite_finite_a: ( x_a > $o ) > $o ).

thf(func_def_14,type,
    finite_finite_pname: ( pname > $o ) > $o ).

thf(func_def_15,type,
    finite_finite_nat: ( nat > $o ) > $o ).

thf(func_def_16,type,
    minus_minus_nat: nat > nat > nat ).

thf(func_def_17,type,
    one_one_nat: nat ).

thf(func_def_18,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_19,type,
    zero_zero_nat: nat ).

thf(func_def_20,type,
    suc: nat > nat ).

thf(func_def_21,type,
    nat_case_o: $o > ( nat > $o ) > nat > $o ).

thf(func_def_22,type,
    the_com: option_com > com ).

thf(func_def_23,type,
    bot_bot_a_o_o: ( x_a > $o ) > $o ).

thf(func_def_24,type,
    bot_bot_pname_o_o: ( pname > $o ) > $o ).

thf(func_def_25,type,
    bot_bot_nat_o_o: ( nat > $o ) > $o ).

thf(func_def_26,type,
    bot_bot_a_o: x_a > $o ).

thf(func_def_27,type,
    bot_bot_pname_o: pname > $o ).

thf(func_def_28,type,
    bot_bot_nat_o: nat > $o ).

thf(func_def_29,type,
    bot_bot_o: $o ).

thf(func_def_30,type,
    bot_bot_nat: nat ).

thf(func_def_31,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_32,type,
    ord_less_eq_a_o_o: ( ( x_a > $o ) > $o ) > ( ( x_a > $o ) > $o ) > $o ).

thf(func_def_33,type,
    ord_le1205211808me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).

thf(func_def_34,type,
    ord_less_eq_nat_o_o: ( ( nat > $o ) > $o ) > ( ( nat > $o ) > $o ) > $o ).

thf(func_def_35,type,
    ord_less_eq_a_o: ( x_a > $o ) > ( x_a > $o ) > $o ).

thf(func_def_36,type,
    ord_less_eq_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).

thf(func_def_37,type,
    ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_38,type,
    ord_less_eq_o: $o > $o > $o ).

thf(func_def_39,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_40,type,
    collect_a_o_o: ( ( ( x_a > $o ) > $o ) > $o ) > ( ( x_a > $o ) > $o ) > $o ).

thf(func_def_41,type,
    collect_pname_o_o: ( ( ( pname > $o ) > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).

thf(func_def_42,type,
    collect_nat_o_o: ( ( ( nat > $o ) > $o ) > $o ) > ( ( nat > $o ) > $o ) > $o ).

thf(func_def_43,type,
    collect_a_o: ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).

thf(func_def_44,type,
    collect_pname_o: ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).

thf(func_def_45,type,
    collect_nat_o: ( ( nat > $o ) > $o ) > ( nat > $o ) > $o ).

thf(func_def_46,type,
    collect_a: ( x_a > $o ) > x_a > $o ).

thf(func_def_47,type,
    collect_pname: ( pname > $o ) > pname > $o ).

thf(func_def_48,type,
    collect_nat: ( nat > $o ) > nat > $o ).

thf(func_def_49,type,
    image_a_o_a: ( ( x_a > $o ) > x_a ) > ( ( x_a > $o ) > $o ) > x_a > $o ).

thf(func_def_50,type,
    image_a_o_pname: ( ( x_a > $o ) > pname ) > ( ( x_a > $o ) > $o ) > pname > $o ).

thf(func_def_51,type,
    image_a_o_nat: ( ( x_a > $o ) > nat ) > ( ( x_a > $o ) > $o ) > nat > $o ).

thf(func_def_52,type,
    image_pname_o_a: ( ( pname > $o ) > x_a ) > ( ( pname > $o ) > $o ) > x_a > $o ).

thf(func_def_53,type,
    image_pname_o_pname: ( ( pname > $o ) > pname ) > ( ( pname > $o ) > $o ) > pname > $o ).

thf(func_def_54,type,
    image_pname_o_nat: ( ( pname > $o ) > nat ) > ( ( pname > $o ) > $o ) > nat > $o ).

thf(func_def_55,type,
    image_nat_o_a: ( ( nat > $o ) > x_a ) > ( ( nat > $o ) > $o ) > x_a > $o ).

thf(func_def_56,type,
    image_nat_o_pname: ( ( nat > $o ) > pname ) > ( ( nat > $o ) > $o ) > pname > $o ).

thf(func_def_57,type,
    image_nat_o_nat: ( ( nat > $o ) > nat ) > ( ( nat > $o ) > $o ) > nat > $o ).

thf(func_def_58,type,
    image_a_a_o: ( x_a > x_a > $o ) > ( x_a > $o ) > ( x_a > $o ) > $o ).

thf(func_def_59,type,
    image_a_pname_o: ( x_a > pname > $o ) > ( x_a > $o ) > ( pname > $o ) > $o ).

thf(func_def_60,type,
    image_a_nat_o: ( x_a > nat > $o ) > ( x_a > $o ) > ( nat > $o ) > $o ).

thf(func_def_61,type,
    image_a_a: ( x_a > x_a ) > ( x_a > $o ) > x_a > $o ).

thf(func_def_62,type,
    image_a_pname: ( x_a > pname ) > ( x_a > $o ) > pname > $o ).

thf(func_def_63,type,
    image_a_nat: ( x_a > nat ) > ( x_a > $o ) > nat > $o ).

thf(func_def_64,type,
    image_pname_a_o: ( pname > x_a > $o ) > ( pname > $o ) > ( x_a > $o ) > $o ).

thf(func_def_65,type,
    image_pname_pname_o: ( pname > pname > $o ) > ( pname > $o ) > ( pname > $o ) > $o ).

thf(func_def_66,type,
    image_pname_nat_o: ( pname > nat > $o ) > ( pname > $o ) > ( nat > $o ) > $o ).

thf(func_def_67,type,
    image_pname_a: ( pname > x_a ) > ( pname > $o ) > x_a > $o ).

thf(func_def_68,type,
    image_pname_pname: ( pname > pname ) > ( pname > $o ) > pname > $o ).

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

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

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

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

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

thf(func_def_74,type,
    image_nat_pname: ( nat > pname ) > ( nat > $o ) > pname > $o ).

thf(func_def_75,type,
    image_nat_nat: ( nat > nat ) > ( nat > $o ) > nat > $o ).

thf(func_def_76,type,
    insert_a_o: ( x_a > $o ) > ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).

thf(func_def_77,type,
    insert_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).

thf(func_def_78,type,
    insert_nat_o: ( nat > $o ) > ( ( nat > $o ) > $o ) > ( nat > $o ) > $o ).

thf(func_def_79,type,
    insert_a: x_a > ( x_a > $o ) > x_a > $o ).

thf(func_def_80,type,
    insert_pname: pname > ( pname > $o ) > pname > $o ).

thf(func_def_81,type,
    insert_nat: nat > ( nat > $o ) > nat > $o ).

thf(func_def_82,type,
    fequal_a_o: ( x_a > $o ) > ( x_a > $o ) > $o ).

thf(func_def_83,type,
    fequal_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).

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

thf(func_def_85,type,
    fequal_a: x_a > x_a > $o ).

thf(func_def_86,type,
    fequal_pname: pname > pname > $o ).

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

thf(func_def_88,type,
    member_a_o: ( x_a > $o ) > ( ( x_a > $o ) > $o ) > $o ).

thf(func_def_89,type,
    member_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > $o ).

thf(func_def_90,type,
    member_nat_o: ( nat > $o ) > ( ( nat > $o ) > $o ) > $o ).

thf(func_def_91,type,
    member_a: x_a > ( x_a > $o ) > $o ).

thf(func_def_92,type,
    member_pname: pname > ( pname > $o ) > $o ).

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

thf(func_def_94,type,
    g: x_a > $o ).

thf(func_def_95,type,
    p: ( x_a > $o ) > ( x_a > $o ) > $o ).

thf(func_def_96,type,
    u: pname > $o ).

thf(func_def_97,type,
    mgt: com > x_a ).

thf(func_def_98,type,
    mgt_call: pname > x_a ).

thf(func_def_99,type,
    na: nat ).

thf(func_def_100,type,
    pn: pname ).

thf(func_def_101,type,
    wt: com > $o ).

thf(func_def_103,type,
    vAND: $o > $o > $o ).

thf(func_def_104,type,
    vOR: $o > $o > $o ).

thf(func_def_105,type,
    vIMP: $o > $o > $o ).

thf(func_def_106,type,
    vNOT: $o > $o ).

thf(func_def_109,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_110,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_111,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_112,type,
    sK0: ( nat > $o ) > ( nat > pname > $o ) > nat ).

thf(func_def_113,type,
    sK1: ( x_a > $o ) > x_a ).

thf(func_def_114,type,
    sK2: ( pname > $o ) > ( x_a > $o ) > ( pname > x_a ) > pname > $o ).

thf(func_def_115,type,
    sK3: ( pname > $o ) > ( pname > nat ) > pname ).

thf(func_def_116,type,
    sK4: ( nat > x_a > $o ) > nat ).

thf(func_def_117,type,
    sK5: ( x_a > nat ) > ( nat > $o ) > ( x_a > $o ) > x_a > $o ).

thf(func_def_118,type,
    sK6: ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).

thf(func_def_119,type,
    sK7: ( ( ( pname > $o ) > $o ) > $o ) > ( pname > $o ) > $o ).

thf(func_def_120,type,
    sK8: ( x_a > $o ) > x_a ).

thf(func_def_121,type,
    sK9: ( ( pname > $o ) > $o ) > ( pname > $o ) > pname ).

thf(func_def_122,type,
    sK10: ( ( pname > $o ) > $o ) > ( pname > $o ) > pname > $o ).

thf(func_def_123,type,
    sK11: ( ( x_a > $o ) > $o ) > ( ( ( x_a > $o ) > $o ) > $o ) > ( x_a > $o ) > $o ).

thf(func_def_124,type,
    sK12: ( ( x_a > $o ) > $o ) > ( ( ( x_a > $o ) > $o ) > $o ) > x_a > $o ).

thf(func_def_125,type,
    sK13: ( pname > nat ) > ( pname > $o ) > ( nat > $o ) > pname ).

thf(func_def_126,type,
    sK14: ( x_a > $o ) > ( x_a > pname ) > x_a ).

thf(func_def_127,type,
    sK15: ( nat > nat ) > nat ).

thf(func_def_128,type,
    sK16: ( x_a > $o ) > ( nat > $o ) > ( x_a > nat ) > x_a > $o ).

thf(func_def_129,type,
    sK17: ( ( x_a > $o ) > nat ) > ( ( x_a > $o ) > $o ) > x_a > $o ).

thf(func_def_130,type,
    sK18: ( ( x_a > $o ) > x_a ) > ( x_a > $o ) > ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).

thf(func_def_131,type,
    sK19: ( ( pname > $o ) > $o ) > ( pname > $o ) > ( ( pname > $o ) > pname ) > ( pname > $o ) > $o ).

thf(func_def_132,type,
    sK20: ( pname > $o ) > pname ).

thf(func_def_133,type,
    sK21: ( x_a > pname > $o ) > ( x_a > $o ) > x_a ).

thf(func_def_134,type,
    sK22: ( ( pname > $o ) > $o ) > ( nat > $o ) > ( nat > pname > $o ) > nat > $o ).

thf(func_def_135,type,
    sK23: ( ( nat > $o ) > $o ) > nat > $o ).

thf(func_def_136,type,
    sK24: ( x_a > $o ) > ( nat > $o ) > ( x_a > nat ) > x_a ).

thf(func_def_137,type,
    sK25: ( nat > $o ) > nat ).

thf(func_def_138,type,
    sK26: ( ( ( nat > $o ) > $o ) > $o ) > nat > $o ).

thf(func_def_139,type,
    sK27: ( ( ( nat > $o ) > $o ) > $o ) > ( nat > $o ) > $o ).

thf(func_def_140,type,
    sK28: ( pname > x_a ) > ( pname > $o ) > x_a > pname ).

thf(func_def_141,type,
    sK29: ( nat > $o ) > nat ).

thf(func_def_142,type,
    sK30: nat > ( nat > $o ) > nat ).

thf(func_def_143,type,
    sK31: ( nat > $o ) > nat ).

thf(func_def_144,type,
    sK32: nat > ( nat > $o ) > nat ).

thf(func_def_145,type,
    sK33: nat > nat > nat ).

thf(func_def_146,type,
    sK34: ( nat > pname > $o ) > nat ).

thf(func_def_147,type,
    sK35: ( pname > pname ) > ( pname > $o ) > pname ).

thf(func_def_148,type,
    sK36: ( x_a > $o ) > x_a ).

thf(func_def_149,type,
    sK37: ( x_a > nat ) > ( x_a > $o ) > x_a ).

thf(func_def_150,type,
    sK38: ( nat > nat ) > nat ).

thf(func_def_151,type,
    sK39: ( nat > $o ) > nat ).

thf(func_def_152,type,
    sK40: ( pname > pname ) > ( pname > $o ) > ( pname > $o ) > pname > $o ).

thf(func_def_153,type,
    sK41: ( pname > pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > pname > $o ).

thf(func_def_154,type,
    sK42: ( ( x_a > $o ) > $o ) > ( ( x_a > $o ) > pname ) > x_a > $o ).

thf(func_def_155,type,
    sK43: ( ( ( x_a > $o ) > $o ) > $o ) > x_a > $o ).

thf(func_def_156,type,
    sK44: ( ( ( x_a > $o ) > $o ) > $o ) > ( x_a > $o ) > $o ).

thf(func_def_157,type,
    sK45: ( nat > $o ) > nat ).

thf(func_def_158,type,
    sK46: ( nat > x_a > $o ) > ( nat > $o ) > nat ).

thf(func_def_159,type,
    sK47: ( x_a > $o ) > ( x_a > nat ) > nat > x_a ).

thf(func_def_160,type,
    sK48: ( ( pname > $o ) > nat ) > ( nat > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).

thf(func_def_161,type,
    sK49: ( x_a > x_a ) > ( x_a > $o ) > x_a ).

thf(func_def_162,type,
    sK50: ( pname > $o ) > ( ( nat > $o ) > $o ) > ( pname > nat > $o ) > pname > $o ).

thf(func_def_163,type,
    sK51: ( nat > pname ) > ( pname > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_164,type,
    sK52: ( nat > nat ) > nat ).

thf(func_def_165,type,
    sK53: ( nat > nat ) > nat ).

thf(func_def_166,type,
    sK54: ( pname > $o ) > ( x_a > $o ) > ( x_a > pname ) > x_a > $o ).

thf(func_def_167,type,
    sK55: ( x_a > $o ) > x_a ).

thf(func_def_168,type,
    sK56: ( nat > $o ) > nat ).

thf(func_def_169,type,
    sK57: ( nat > nat ) > ( nat > $o ) > nat ).

thf(func_def_170,type,
    sK58: nat > nat > nat ).

thf(func_def_171,type,
    sK59: ( pname > $o ) > ( pname > pname > $o ) > pname ).

thf(func_def_172,type,
    sK60: nat > ( nat > $o ) > nat ).

thf(func_def_173,type,
    sK61: ( nat > $o ) > nat ).

thf(func_def_174,type,
    sK62: ( x_a > $o ) > ( x_a > nat > $o ) > x_a ).

thf(func_def_175,type,
    sK63: ( x_a > $o ) > ( ( x_a > $o ) > $o ) > x_a > $o ).

thf(func_def_176,type,
    sK64: ( x_a > $o ) > ( ( x_a > $o ) > $o ) > x_a ).

thf(func_def_177,type,
    sK65: ( ( nat > $o ) > $o ) > nat > $o ).

thf(func_def_178,type,
    sK66: ( pname > $o ) > ( ( nat > $o ) > $o ) > ( ( nat > $o ) > pname ) > ( nat > $o ) > $o ).

thf(func_def_179,type,
    sK67: x_a > ( nat > $o ) > ( nat > x_a ) > nat ).

thf(func_def_180,type,
    sK68: ( ( pname > $o ) > nat ) > ( ( pname > $o ) > $o ) > pname > $o ).

thf(func_def_181,type,
    sK69: ( nat > x_a > $o ) > ( nat > $o ) > ( ( x_a > $o ) > $o ) > nat > $o ).

thf(func_def_182,type,
    sK70: ( ( pname > $o ) > $o ) > pname > $o ).

thf(func_def_183,type,
    sK71: ( nat > $o ) > ( nat > nat > $o ) > ( ( nat > $o ) > $o ) > nat > $o ).

thf(func_def_184,type,
    sK72: ( x_a > $o ) > ( x_a > nat > $o ) > ( ( nat > $o ) > $o ) > x_a > $o ).

thf(func_def_185,type,
    sK73: ( x_a > $o ) > ( x_a > $o ) > x_a ).

thf(func_def_186,type,
    sK74: nat > nat > nat ).

thf(func_def_187,type,
    sK75: nat > ( nat > $o ) > nat ).

thf(func_def_188,type,
    sK76: ( pname > $o ) > ( pname > x_a ) > ( x_a > $o ) > pname ).

thf(func_def_189,type,
    sK77: ( nat > nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_190,type,
    sK78: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > x_a ) > ( x_a > $o ) > ( pname > $o ) > $o ).

thf(func_def_191,type,
    sK79: nat > nat > nat ).

thf(func_def_192,type,
    sK80: ( ( nat > $o ) > $o ) > ( nat > $o ) > nat ).

thf(func_def_193,type,
    sK81: ( ( nat > $o ) > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_194,type,
    sK82: nat > nat > nat ).

thf(func_def_195,type,
    sK83: x_a > ( pname > $o ) > ( pname > x_a ) > pname ).

thf(func_def_196,type,
    sK84: ( ( ( nat > $o ) > $o ) > $o ) > ( ( nat > $o ) > $o ) > ( nat > $o ) > $o ).

thf(func_def_197,type,
    sK85: ( ( ( nat > $o ) > $o ) > $o ) > ( ( nat > $o ) > $o ) > nat > $o ).

thf(func_def_198,type,
    sK86: pname > ( nat > $o ) > ( nat > pname ) > nat ).

thf(func_def_199,type,
    sK87: ( nat > nat ) > ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_200,type,
    sK88: ( x_a > $o ) > ( pname > $o ) > ( x_a > pname ) > x_a > $o ).

thf(func_def_201,type,
    sK89: ( x_a > $o ) > ( ( pname > $o ) > $o ) > ( x_a > pname > $o ) > x_a > $o ).

thf(func_def_202,type,
    sK90: ( nat > $o ) > nat ).

thf(func_def_203,type,
    sK91: ( nat > $o ) > ( nat > pname ) > nat ).

thf(func_def_204,type,
    sK92: ( x_a > $o ) > ( ( nat > $o ) > x_a ) > ( ( nat > $o ) > $o ) > ( nat > $o ) > $o ).

thf(func_def_205,type,
    sK93: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_206,type,
    sK94: ( ( pname > $o ) > $o ) > pname > $o ).

thf(func_def_207,type,
    sK95: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_208,type,
    sK96: ( pname > $o ) > pname ).

thf(func_def_209,type,
    sK97: ( x_a > $o ) > ( x_a > $o ) > x_a ).

thf(func_def_210,type,
    sK98: ( ( x_a > $o ) > pname ) > ( pname > $o ) > ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).

thf(func_def_211,type,
    sK99: ( pname > nat > $o ) > ( pname > $o ) > pname ).

thf(func_def_212,type,
    sK100: ( pname > $o ) > ( pname > $o ) > pname ).

thf(func_def_213,type,
    sK101: ( nat > x_a ) > ( nat > $o ) > nat ).

thf(func_def_214,type,
    sK102: ( ( x_a > $o ) > $o ) > ( x_a > x_a > $o ) > ( x_a > $o ) > x_a > $o ).

thf(func_def_215,type,
    sK103: ( ( x_a > $o ) > $o ) > x_a > $o ).

thf(func_def_216,type,
    sK104: ( pname > $o ) > ( ( x_a > $o ) > $o ) > ( pname > x_a > $o ) > pname > $o ).

thf(func_def_217,type,
    sK105: nat > nat ).

thf(func_def_218,type,
    sK106: ( ( x_a > $o ) > $o ) > x_a > $o ).

thf(func_def_219,type,
    sK107: ( pname > $o ) > pname ).

thf(func_def_220,type,
    sK108: ( ( nat > $o ) > nat ) > ( nat > $o ) > ( ( nat > $o ) > $o ) > ( nat > $o ) > $o ).

thf(func_def_221,type,
    sK109: ( pname > $o ) > ( pname > $o ) > pname ).

thf(func_def_222,type,
    sK110: ( pname > x_a > $o ) > ( pname > $o ) > pname ).

thf(func_def_223,type,
    sK111: ( nat > $o ) > ( nat > x_a ) > ( x_a > $o ) > nat ).

thf(func_def_224,type,
    sK112: ( pname > $o ) > ( pname > x_a ) > pname ).

thf(func_def_225,type,
    sK113: ( x_a > $o ) > ( x_a > x_a > $o ) > x_a ).

thf(func_def_226,type,
    sK114: ( nat > x_a ) > ( nat > $o ) > ( x_a > $o ) > nat > $o ).

thf(func_def_227,type,
    sK115: ( x_a > $o ) > pname ).

thf(func_def_228,type,
    sK116: ( pname > $o ) > ( nat > $o ) > ( nat > pname ) > nat ).

thf(func_def_229,type,
    sK117: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > pname ) > pname > $o ).

thf(func_def_230,type,
    sK118: ( pname > pname ) > ( pname > $o ) > ( pname > $o ) > pname ).

thf(func_def_231,type,
    sK119: ( nat > nat > $o ) > nat ).

thf(func_def_232,type,
    sK120: ( x_a > x_a ) > ( x_a > $o ) > ( x_a > $o ) > x_a > $o ).

thf(func_def_233,type,
    sK121: ( pname > $o ) > pname ).

thf(func_def_234,type,
    sK122: ( ( nat > $o ) > nat ) > ( ( nat > $o ) > $o ) > nat > $o ).

thf(func_def_235,type,
    sK123: ( nat > $o ) > ( x_a > $o ) > ( nat > x_a ) > nat > $o ).

thf(func_def_236,type,
    sK124: ( nat > $o ) > ( ( x_a > $o ) > nat ) > ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).

thf(func_def_237,type,
    sK125: ( pname > $o ) > ( x_a > pname ) > ( x_a > $o ) > x_a ).

thf(func_def_238,type,
    sK126: ( ( pname > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > ( pname > $o ) > $o ).

thf(func_def_239,type,
    sK127: ( ( pname > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).

thf(func_def_240,type,
    sK128: ( nat > nat ) > nat ).

thf(func_def_241,type,
    sK129: ( nat > nat ) > nat ).

thf(func_def_242,type,
    sK130: ( pname > x_a ) > ( pname > $o ) > ( x_a > $o ) > pname > $o ).

thf(func_def_243,type,
    sK131: ( pname > nat ) > ( pname > $o ) > ( nat > $o ) > pname > $o ).

thf(func_def_244,type,
    sK132: ( ( nat > $o ) > pname ) > ( ( nat > $o ) > $o ) > nat > $o ).

thf(func_def_245,type,
    sK133: ( pname > $o ) > nat > ( pname > nat ) > pname ).

thf(func_def_247,type,
    sK135: ( pname > x_a ) > ( pname > $o ) > x_a ).

thf(func_def_248,type,
    sK136: x_a > ( x_a > $o ) > ( x_a > $o ) > x_a ).

thf(func_def_249,type,
    inv_suc_137: nat > nat ).

thf(func_def_250,type,
    sK138: x_a > x_a ).

thf(func_def_251,type,
    sK139: ( x_a > $o ) > x_a > x_a ).

thf(func_def_252,type,
    sK140: pname > ( pname > $o ) > pname ).

thf(f308,axiom,
    ! [X2: pname > $o,X1: pname,X0: pname > x_a] :
      ( ( member_pname @ X1 @ X2 )
     => ( member_a @ ( X0 @ X1 ) @ ( image_pname_a @ X0 @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_307_imageI) ).

thf(f325,axiom,
    ! [X2: x_a > $o,X1: x_a > $o,X0: x_a] :
      ( ( ( ord_less_eq_a_o @ X1 @ X2 )
        & ( member_a @ X0 @ X2 ) )
    <=> ( ord_less_eq_a_o @ ( insert_a @ X0 @ X1 ) @ X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324_insert__subset) ).

thf(f714,axiom,
    ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

thf(f717,axiom,
    member_pname @ pn @ u,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

thf(f719,conjecture,
    ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).

thf(f720,negated_conjecture,
    ~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ),
    inference(negated_conjecture,[status(cth)],[f719]) ).

thf(f939,plain,
    ! [X0: x_a > $o,X1: x_a > $o,X2: x_a] :
      ( ( ( ord_less_eq_a_o @ X1 @ X0 )
        & ( member_a @ X2 @ X0 ) )
    <=> ( ord_less_eq_a_o @ ( insert_a @ X2 @ X1 ) @ X0 ) ),
    inference(rectify,[],[f325]) ).

thf(f940,plain,
    ! [X0: x_a > $o,X2: x_a,X1: x_a > $o] :
      ( ( ( ord_less_eq_a_o @ ( insert_a @ X2 @ X1 ) @ X0 )
        = $true )
    <=> ( ( ( member_a @ X2 @ X0 )
          = $true )
        & ( ( ord_less_eq_a_o @ X1 @ X0 )
          = $true ) ) ),
    inference(fool_elimination,[],[f939]) ).

thf(f995,plain,
    ! [X0: pname > $o,X1: pname,X2: pname > x_a] :
      ( ( member_pname @ X1 @ X0 )
     => ( member_a @ ( X2 @ X1 ) @ ( image_pname_a @ X2 @ X0 ) ) ),
    inference(rectify,[],[f308]) ).

thf(f996,plain,
    ! [X0: pname > $o,X2: pname > x_a,X1: pname] :
      ( ( ( member_pname @ X1 @ X0 )
        = $true )
     => ( ( member_a @ ( X2 @ X1 ) @ ( image_pname_a @ X2 @ X0 ) )
        = $true ) ),
    inference(fool_elimination,[],[f995]) ).

thf(f1037,plain,
    ~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ),
    inference(rectify,[],[f720]) ).

thf(f1038,plain,
    ( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
   != $true ),
    inference(fool_elimination,[],[f1037]) ).

thf(f1177,plain,
    member_pname @ pn @ u,
    inference(rectify,[],[f717]) ).

thf(f1178,plain,
    ( ( member_pname @ pn @ u )
    = $true ),
    inference(fool_elimination,[],[f1177]) ).

thf(f1839,plain,
    ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ),
    inference(rectify,[],[f714]) ).

thf(f1840,plain,
    ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
    = $true ),
    inference(fool_elimination,[],[f1839]) ).

thf(f2029,plain,
    ( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
   != $true ),
    inference(flattening,[],[f1038]) ).

thf(f2650,plain,
    ! [X1: pname,X2: pname > x_a,X0: pname > $o] :
      ( ( ( member_a @ ( X2 @ X1 ) @ ( image_pname_a @ X2 @ X0 ) )
        = $true )
      | ( ( member_pname @ X1 @ X0 )
       != $true ) ),
    inference(ennf_transformation,[],[f996]) ).

thf(f3254,plain,
    ! [X0: pname,X1: pname > x_a,X2: pname > $o] :
      ( ( ( member_a @ ( X1 @ X0 ) @ ( image_pname_a @ X1 @ X2 ) )
        = $true )
      | ( ( member_pname @ X0 @ X2 )
       != $true ) ),
    inference(rectify,[],[f2650]) ).

thf(f3432,plain,
    ! [X0: x_a > $o,X2: x_a,X1: x_a > $o] :
      ( ( ( ( ord_less_eq_a_o @ ( insert_a @ X2 @ X1 ) @ X0 )
          = $true )
        | ( ( member_a @ X2 @ X0 )
         != $true )
        | ( ( ord_less_eq_a_o @ X1 @ X0 )
         != $true ) )
      & ( ( ( ( member_a @ X2 @ X0 )
            = $true )
          & ( ( ord_less_eq_a_o @ X1 @ X0 )
            = $true ) )
        | ( ( ord_less_eq_a_o @ ( insert_a @ X2 @ X1 ) @ X0 )
         != $true ) ) ),
    inference(nnf_transformation,[],[f940]) ).

thf(f3433,plain,
    ! [X0: x_a > $o,X2: x_a,X1: x_a > $o] :
      ( ( ( ( ord_less_eq_a_o @ ( insert_a @ X2 @ X1 ) @ X0 )
          = $true )
        | ( ( member_a @ X2 @ X0 )
         != $true )
        | ( ( ord_less_eq_a_o @ X1 @ X0 )
         != $true ) )
      & ( ( ( ( member_a @ X2 @ X0 )
            = $true )
          & ( ( ord_less_eq_a_o @ X1 @ X0 )
            = $true ) )
        | ( ( ord_less_eq_a_o @ ( insert_a @ X2 @ X1 ) @ X0 )
         != $true ) ) ),
    inference(flattening,[],[f3432]) ).

thf(f3434,plain,
    ! [X0: x_a > $o,X1: x_a,X2: x_a > $o] :
      ( ( ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 )
          = $true )
        | ( ( member_a @ X1 @ X0 )
         != $true )
        | ( ( ord_less_eq_a_o @ X2 @ X0 )
         != $true ) )
      & ( ( ( ( member_a @ X1 @ X0 )
            = $true )
          & ( ( ord_less_eq_a_o @ X2 @ X0 )
            = $true ) )
        | ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 )
         != $true ) ) ),
    inference(rectify,[],[f3433]) ).

thf(f3960,plain,
    ( ( member_pname @ pn @ u )
    = $true ),
    inference(cnf_transformation,[],[f1178]) ).

thf(f4148,plain,
    ! [X2: pname > $o,X0: pname,X1: pname > x_a] :
      ( ( ( member_a @ ( X1 @ X0 ) @ ( image_pname_a @ X1 @ X2 ) )
        = $true )
      | ( ( member_pname @ X0 @ X2 )
       != $true ) ),
    inference(cnf_transformation,[],[f3254]) ).

thf(f4306,plain,
    ( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
   != $true ),
    inference(cnf_transformation,[],[f2029]) ).

thf(f4393,plain,
    ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
    = $true ),
    inference(cnf_transformation,[],[f1840]) ).

thf(f4457,plain,
    ! [X2: x_a > $o,X0: x_a > $o,X1: x_a] :
      ( ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 )
        = $true )
      | ( ( member_a @ X1 @ X0 )
       != $true )
      | ( ( ord_less_eq_a_o @ X2 @ X0 )
       != $true ) ),
    inference(cnf_transformation,[],[f3434]) ).

thf(f4887,definition,
    ( spl134_31
  <=> ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl134_31])],[avatar_definition]) ).

thf(f4889,plain,
    ( ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
      = $true )
    | ~ spl134_31 ),
    inference(avatar_component_clause,[],[f4887]) ).

thf(f4890,plain,
    spl134_31,
    inference(avatar_split_clause,[],[f4393,f4887]) ).

thf(f4907,definition,
    ( spl134_35
  <=> ( ( member_pname @ pn @ u )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl134_35])],[avatar_definition]) ).

thf(f4909,plain,
    ( ( ( member_pname @ pn @ u )
      = $true )
    | ~ spl134_35 ),
    inference(avatar_component_clause,[],[f4907]) ).

thf(f4910,plain,
    spl134_35,
    inference(avatar_split_clause,[],[f3960,f4907]) ).

thf(f4912,definition,
    ( spl134_36
  <=> ( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl134_36])],[avatar_definition]) ).

thf(f4914,plain,
    ( ( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
     != $true )
    | spl134_36 ),
    inference(avatar_component_clause,[],[f4912]) ).

thf(f4915,plain,
    ~ spl134_36,
    inference(avatar_split_clause,[],[f4306,f4912]) ).

thf(f5074,plain,
    ( ( ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) )
     != $true )
    | ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
     != $true )
    | ( $true != $true )
    | spl134_36 ),
    inference(superposition,[],[f4914,f4457]) ).

thf(f5077,plain,
    ( ( ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) )
     != $true )
    | ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
     != $true )
    | spl134_36 ),
    inference(trivial_inequality_removal,[],[f5074]) ).

thf(f5080,plain,
    ( ( ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) )
     != $true )
    | ~ spl134_31
    | spl134_36 ),
    inference(forward_subsumption_resolution,[],[f5077,f4889]) ).

thf(f5082,definition,
    ( spl134_46
  <=> ( ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl134_46])],[avatar_definition]) ).

thf(f5084,plain,
    ( ( ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) )
     != $true )
    | spl134_46 ),
    inference(avatar_component_clause,[],[f5082]) ).

thf(f5085,plain,
    ( ~ spl134_46
    | ~ spl134_31
    | spl134_36 ),
    inference(avatar_split_clause,[],[f5080,f4912,f4887,f5082]) ).

thf(f5458,plain,
    ( ( ( member_pname @ pn @ u )
     != $true )
    | ( $true != $true )
    | spl134_46 ),
    inference(superposition,[],[f5084,f4148]) ).

thf(f5462,plain,
    ( ( ( member_pname @ pn @ u )
     != $true )
    | spl134_46 ),
    inference(trivial_inequality_removal,[],[f5458]) ).

thf(f5463,plain,
    ( $false
    | ~ spl134_35
    | spl134_46 ),
    inference(forward_subsumption_resolution,[],[f5462,f4909]) ).

thf(f5464,plain,
    ( ~ spl134_35
    | spl134_46 ),
    inference(avatar_contradiction_clause,[],[f5463]) ).

cnf(s32,plain,
    spl134_31,
    inference(sat_conversion,[],[f4890]) ).

cnf(s37,plain,
    spl134_35,
    inference(sat_conversion,[],[f4910]) ).

cnf(s38,plain,
    ~ spl134_36,
    inference(sat_conversion,[],[f4915]) ).

cnf(s58,plain,
    ( ~ spl134_31
    | spl134_36
    | ~ spl134_46 ),
    inference(sat_conversion,[],[f5085]) ).

cnf(s64,plain,
    ( ~ spl134_35
    | spl134_46 ),
    inference(sat_conversion,[],[f5464]) ).

cnf(s65,plain,
    spl134_46,
    inference(rat,[],[s64,s37]) ).

cnf(s67,plain,
    ~ spl134_31,
    inference(rat,[],[s58,s38,s65]) ).

cnf(s68,plain,
    $false,
    inference(rat,[],[s32,s67]) ).

thf(f5465,plain,
    $false,
    inference(avatar_sat_refutation,[],[s68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWW473^2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.27  % Computer : n020.cluster.edu
% 0.12/0.27  % Model    : x86_64 x86_64
% 0.12/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.27  % Memory   : 8046.5625MB
% 0.12/0.27  % OS       : Linux 6.8.0-71-generic
% 0.12/0.27  % CPULimit : 300
% 0.12/0.27  % WCLimit  : 300
% 0.12/0.27  % DateTime : Tue Sep 29 16:06:50 UTC 2026
% 0.12/0.28  % CPUTime  : 
% 0.12/0.28  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.33  Running higher-order theorem proving
% 0.37/0.42  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/0.69  % (1229031)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.30/0.69  % (1229036)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1349809079:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.30/0.69  % (1229042)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.30/0.69  % (1229042)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
% 1.30/0.69  % (1229037)lrs+10_16_si=on:nwc=1.5:random_seed=2979849989:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.30/0.69  % (1229038)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2479406776:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.30/0.69  % (1229040)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1897439700:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.30/0.69  % (1229039)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=1886451794: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)
% 1.30/0.69  % (1229041)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3526887012:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.30/0.69  % (1229042)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=405413053:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.30/0.69  % (1229038)Instruction limit reached! 
% 1.30/0.69  % (1229038)------------------------------
% 1.30/0.69  % (1229038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.69  % (1229038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.69  % (1229038)CaDiCaL version: 2.1.3
% 1.30/0.69  % (1229038)Termination reason: Instruction limit
% 1.30/0.69  % (1229038)Termination phase: shuffling
% 1.30/0.69  % (1229038)Time elapsed: 0.004 s
% 1.30/0.69  % (1229038)Peak memory usage: 11 MB
% 1.30/0.69  % (1229038)Instructions burned: 3 (million)
% 1.30/0.69  % (1229037)Instruction limit reached! 
% 1.30/0.69  % (1229037)------------------------------
% 1.30/0.69  % (1229037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.69  % (1229037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.69  % (1229037)CaDiCaL version: 2.1.3
% 1.30/0.69  % (1229037)Termination reason: Instruction limit
% 1.30/0.69  % (1229037)Termination phase: shuffling
% 1.30/0.69  % (1229037)Time elapsed: 0.016 s
% 1.30/0.69  % (1229037)Peak memory usage: 11 MB
% 1.30/0.69  % (1229037)Instructions burned: 18 (million)
% 1.30/0.69  % (1229040)Instruction limit reached! 
% 1.30/0.69  % (1229040)------------------------------
% 1.30/0.69  % (1229040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.69  % (1229040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.69  % (1229040)CaDiCaL version: 2.1.3
% 1.30/0.69  % (1229040)Termination reason: Instruction limit
% 1.30/0.69  % (1229040)Termination phase: shuffling
% 1.30/0.69  % (1229040)Time elapsed: 0.023 s
% 1.30/0.69  % (1229040)Peak memory usage: 11 MB
% 1.30/0.69  % (1229040)Instructions burned: 26 (million)
% 1.30/0.69  % (1229036)Instruction limit reached! 
% 1.30/0.69  % (1229036)------------------------------
% 1.30/0.69  % (1229036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.69  % (1229036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.69  % (1229036)CaDiCaL version: 2.1.3
% 1.30/0.69  % (1229036)Termination reason: Instruction limit
% 1.30/0.69  % (1229036)Termination phase: SInE selection
% 1.30/0.69  % (1229036)Time elapsed: 0.039 s
% 1.30/0.69  % (1229036)Peak memory usage: 12 MB
% 1.30/0.69  % (1229036)Instructions burned: 89 (million)
% 1.30/0.69  % (1229050)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1261700715:i=2:hud=10:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.30/0.69  % (1229050)Instruction limit reached! 
% 1.30/0.69  % (1229050)------------------------------
% 1.30/0.69  % (1229050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.76  % (1229050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.76  % (1229050)CaDiCaL version: 2.1.3
% 1.49/0.76  % (1229050)Termination reason: Instruction limit
% 1.49/0.76  % (1229050)Termination phase: shuffling
% 1.49/0.76  % (1229050)Time elapsed: 0.003 s
% 1.49/0.76  % (1229050)Peak memory usage: 11 MB
% 1.49/0.76  % (1229050)Instructions burned: 2 (million)
% 1.49/0.76  % (1229051)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=73273173:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/5Mi)
% 1.49/0.76  % (1229052)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.49/0.76  % (1229051)Instruction limit reached! 
% 1.49/0.76  % (1229051)------------------------------
% 1.49/0.76  % (1229051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.76  % (1229051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.76  % (1229051)CaDiCaL version: 2.1.3
% 1.49/0.76  % (1229051)Termination reason: Instruction limit
% 1.49/0.76  % (1229051)Termination phase: shuffling
% 1.49/0.76  % (1229051)Time elapsed: 0.006 s
% 1.49/0.76  % (1229051)Peak memory usage: 11 MB
% 1.49/0.76  % (1229051)Instructions burned: 6 (million)
% 1.49/0.76  % (1229052)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3514459978:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.49/0.76  % (1229041)Instruction limit reached! 
% 1.49/0.76  % (1229041)------------------------------
% 1.49/0.76  % (1229041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.76  % (1229041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.76  % (1229041)CaDiCaL version: 2.1.3
% 1.49/0.76  % (1229041)Termination reason: Instruction limit
% 1.49/0.76  % (1229041)Termination phase: Property scanning
% 1.49/0.76  % (1229041)Time elapsed: 0.063 s
% 1.49/0.76  % (1229041)Peak memory usage: 11 MB
% 1.49/0.76  % (1229041)Instructions burned: 75 (million)
% 1.49/0.76  % (1229052)Instruction limit reached! 
% 1.49/0.76  % (1229052)------------------------------
% 1.49/0.76  % (1229052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.76  % (1229052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.76  % (1229052)CaDiCaL version: 2.1.3
% 1.49/0.76  % (1229052)Termination reason: Instruction limit
% 1.49/0.76  % (1229052)Termination phase: shuffling
% 1.49/0.76  % (1229052)Time elapsed: 0.007 s
% 1.49/0.76  % (1229052)Peak memory usage: 11 MB
% 1.49/0.76  % (1229052)Instructions burned: 8 (million)
% 1.49/0.76  % (1229055)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
% 1.49/0.76  % (1229055)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.49/0.76  % (1229055)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3709806561:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.49/0.76  % (1229053)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1730026826:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.49/0.76  % (1229053)Instruction limit reached! 
% 1.49/0.76  % (1229053)------------------------------
% 1.49/0.76  % (1229053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.76  % (1229053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.76  % (1229053)CaDiCaL version: 2.1.3
% 1.49/0.76  % (1229053)Termination reason: Instruction limit
% 1.49/0.76  % (1229053)Termination phase: shuffling
% 1.49/0.76  % (1229053)Time elapsed: 0.013 s
% 1.49/0.76  % (1229053)Peak memory usage: 11 MB
% 1.49/0.76  % (1229053)Instructions burned: 12 (million)
% 1.49/0.76  % (1229058)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=2726492858:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.49/0.76  % (1229060)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 2.03/0.81  % (1229059)lrs+10_1_si=on:cs=on:random_seed=112073726:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.03/0.81  % (1229055)Instruction limit reached! 
% 2.03/0.81  % (1229055)------------------------------
% 2.03/0.81  % (1229055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.81  % (1229055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.81  % (1229055)CaDiCaL version: 2.1.3
% 2.03/0.81  % (1229055)Termination reason: Instruction limit
% 2.03/0.81  % (1229055)Termination phase: shuffling
% 2.03/0.81  % (1229055)Time elapsed: 0.024 s
% 2.03/0.81  % (1229055)Peak memory usage: 11 MB
% 2.03/0.81  % (1229055)Instructions burned: 28 (million)
% 2.03/0.81  % (1229060)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=1406658595:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.03/0.81  % (1229060)Instruction limit reached! 
% 2.03/0.81  % (1229060)------------------------------
% 2.03/0.81  % (1229060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.81  % (1229060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.81  % (1229060)CaDiCaL version: 2.1.3
% 2.03/0.81  % (1229060)Termination reason: Instruction limit
% 2.03/0.81  % (1229060)Termination phase: shuffling
% 2.03/0.81  % (1229060)Time elapsed: 0.003 s
% 2.03/0.81  % (1229060)Peak memory usage: 11 MB
% 2.03/0.81  % (1229060)Instructions burned: 2 (million)
% 2.03/0.81  % (1229059)Instruction limit reached! 
% 2.03/0.81  % (1229059)------------------------------
% 2.03/0.81  % (1229059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.81  % (1229059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.81  % (1229059)CaDiCaL version: 2.1.3
% 2.03/0.81  % (1229059)Termination reason: Instruction limit
% 2.03/0.81  % (1229059)Termination phase: shuffling
% 2.03/0.81  % (1229059)Time elapsed: 0.007 s
% 2.03/0.81  % (1229059)Peak memory usage: 11 MB
% 2.03/0.81  % (1229059)Instructions burned: 8 (million)
% 2.03/0.81  % (1229063)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=917179703:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 2.03/0.81  % (1229067)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1545265058:st=2:i=249:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/249Mi)
% 2.03/0.81  % (1229068)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=721535739:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/25Mi)
% 2.03/0.81  % (1229069)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2764835047:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.03/0.81  % (1229042)Instruction limit reached! 
% 2.03/0.81  % (1229042)------------------------------
% 2.03/0.81  % (1229042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.81  % (1229042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.81  % (1229042)CaDiCaL version: 2.1.3
% 2.03/0.81  % (1229042)Termination reason: Instruction limit
% 2.03/0.81  % (1229042)Termination phase: Function definition elimination
% 2.03/0.81  % (1229042)Time elapsed: 0.146 s
% 2.03/0.81  % (1229042)Peak memory usage: 13 MB
% 2.03/0.81  % (1229042)Instructions burned: 158 (million)
% 2.03/0.81  % (1229069)Instruction limit reached! 
% 2.03/0.81  % (1229069)------------------------------
% 2.03/0.81  % (1229069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.81  % (1229069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.81  % (1229069)CaDiCaL version: 2.1.3
% 2.03/0.81  % (1229069)Termination reason: Instruction limit
% 2.03/0.81  % (1229069)Termination phase: shuffling
% 2.03/0.81  % (1229069)Time elapsed: 0.013 s
% 2.03/0.81  % (1229069)Peak memory usage: 11 MB
% 2.03/0.81  % (1229069)Instructions burned: 14 (million)
% 2.03/0.81  % (1229063)Instruction limit reached! 
% 2.03/0.81  % (1229063)------------------------------
% 2.03/0.81  % (1229063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.81  % (1229063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.81  % (1229063)CaDiCaL version: 2.1.3
% 2.03/0.81  % (1229063)Termination reason: Instruction limit
% 2.03/0.81  % (1229063)Termination phase: shuffling
% 2.03/0.85  % (1229063)Time elapsed: 0.032 s
% 2.03/0.85  % (1229063)Peak memory usage: 11 MB
% 2.03/0.85  % (1229063)Instructions burned: 38 (million)
% 2.03/0.85  % (1229068)Instruction limit reached! 
% 2.03/0.85  % (1229068)------------------------------
% 2.03/0.85  % (1229068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.85  % (1229068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.85  % (1229068)CaDiCaL version: 2.1.3
% 2.03/0.85  % (1229068)Termination reason: Instruction limit
% 2.03/0.85  % (1229068)Termination phase: shuffling
% 2.03/0.85  % (1229068)Time elapsed: 0.025 s
% 2.03/0.85  % (1229068)Peak memory usage: 11 MB
% 2.03/0.85  % (1229068)Instructions burned: 29 (million)
% 2.03/0.85  % (1229058)Instruction limit reached! 
% 2.03/0.85  % (1229058)------------------------------
% 2.03/0.85  % (1229058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.85  % (1229058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.85  % (1229058)CaDiCaL version: 2.1.3
% 2.03/0.85  % (1229058)Termination reason: Instruction limit
% 2.03/0.85  % (1229058)Termination phase: Property scanning
% 2.03/0.85  % (1229058)Time elapsed: 0.072 s
% 2.03/0.85  % (1229058)Peak memory usage: 12 MB
% 2.03/0.85  % (1229058)Instructions burned: 87 (million)
% 2.03/0.85  % (1229077)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1318519487:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 2.03/0.85  % (1229077)Instruction limit reached! 
% 2.03/0.85  % (1229077)------------------------------
% 2.03/0.85  % (1229077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.85  % (1229077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.85  % (1229077)CaDiCaL version: 2.1.3
% 2.03/0.85  % (1229077)Termination reason: Instruction limit
% 2.03/0.85  % (1229077)Termination phase: shuffling
% 2.03/0.85  % (1229077)Time elapsed: 0.002 s
% 2.03/0.85  % (1229077)Peak memory usage: 11 MB
% 2.03/0.85  % (1229077)Instructions burned: 4 (million)
% 2.03/0.85  % (1229076)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=912808472:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 2.03/0.85  % (1229075)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=538516466:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/327Mi)
% 2.03/0.85  % (1229078)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3767627009:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.03/0.85  % (1229076)Instruction limit reached! 
% 2.03/0.85  % (1229076)------------------------------
% 2.03/0.85  % (1229076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.85  % (1229076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.85  % (1229076)CaDiCaL version: 2.1.3
% 2.03/0.85  % (1229076)Termination reason: Instruction limit
% 2.03/0.85  % (1229076)Termination phase: shuffling
% 2.03/0.85  % (1229076)Time elapsed: 0.013 s
% 2.03/0.85  % (1229076)Peak memory usage: 11 MB
% 2.03/0.85  % (1229076)Instructions burned: 14 (million)
% 2.03/0.85  % (1229081)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1982846455:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.03/0.85  % (1229079)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2400759891:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.03/0.85  % (1229078)Instruction limit reached! 
% 2.03/0.85  % (1229078)------------------------------
% 2.03/0.85  % (1229078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.85  % (1229078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.85  % (1229078)CaDiCaL version: 2.1.3
% 2.03/0.85  % (1229078)Termination reason: Instruction limit
% 2.03/0.85  % (1229078)Termination phase: shuffling
% 2.03/0.85  % (1229078)Time elapsed: 0.022 s
% 2.03/0.85  % (1229078)Peak memory usage: 11 MB
% 2.03/0.85  % (1229078)Instructions burned: 26 (million)
% 2.03/0.85  % (1229079)Instruction limit reached! 
% 2.03/0.85  % (1229079)------------------------------
% 2.03/0.85  % (1229079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.85  % (1229079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.85  % (1229079)CaDiCaL version: 2.1.3
% 2.03/0.85  % (1229079)Termination reason: Instruction limit
% 2.03/0.85  % (1229079)Termination phase: shuffling
% 2.03/0.85  % (1229079)Time elapsed: 0.019 s
% 2.03/0.85  % (1229079)Peak memory usage: 11 MB
% 2.03/0.85  % (1229079)Instructions burned: 23 (million)
% 2.03/0.85  % (1229081)Instruction limit reached! 
% 2.03/0.85  % (1229081)------------------------------
% 2.03/0.85  % (1229081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.85  % (1229081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.85  % (1229081)CaDiCaL version: 2.1.3
% 2.03/0.85  % (1229081)Termination reason: Instruction limit
% 2.03/0.85  % (1229081)Termination phase: Property scanning
% 2.03/0.85  % (1229081)Time elapsed: 0.026 s
% 2.03/0.85  % (1229081)Peak memory usage: 11 MB
% 2.03/0.85  % (1229081)Instructions burned: 62 (million)
% 2.03/0.85  % (1229086)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
% 2.03/0.85  % (1229086)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.03/0.85  % (1229086)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=1259858589:i=14:add=off:nm=40:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/14Mi)
% 2.03/0.85  % (1229090)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4185709502:i=7:hud=5:bd=preordered:rtra=on:bet=on_2996 on theBenchmark for (2996ds/7Mi)
% 2.03/0.85  % (1229086)Instruction limit reached! 
% 2.03/0.85  % (1229086)------------------------------
% 2.03/0.85  % (1229086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.85  % (1229086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.85  % (1229086)CaDiCaL version: 2.1.3
% 2.03/0.85  % (1229086)Termination reason: Instruction limit
% 2.03/0.85  % (1229086)Termination phase: shuffling
% 2.03/0.85  % (1229086)Time elapsed: 0.013 s
% 2.03/0.85  % (1229086)Peak memory usage: 11 MB
% 2.03/0.85  % (1229086)Instructions burned: 14 (million)
% 2.03/0.85  % (1229090)Instruction limit reached! 
% 2.03/0.85  % (1229090)------------------------------
% 2.03/0.85  % (1229090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.85  % (1229090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.85  % (1229090)CaDiCaL version: 2.1.3
% 2.03/0.85  % (1229090)Termination reason: Instruction limit
% 2.03/0.85  % (1229090)Termination phase: shuffling
% 2.03/0.85  % (1229090)Time elapsed: 0.004 s
% 2.03/0.85  % (1229090)Peak memory usage: 11 MB
% 2.03/0.85  % (1229090)Instructions burned: 9 (million)
% 2.03/0.85  % (1229088)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.03/0.85  % (1229088)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=765720874:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2996 on theBenchmark for (2996ds/8Mi)
% 2.03/0.85  % (1229089)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=2584362079:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.03/0.85  % (1229088)Instruction limit reached! 
% 2.03/0.85  % (1229088)------------------------------
% 2.03/0.85  % (1229088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.85  % (1229088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.85  % (1229088)CaDiCaL version: 2.1.3
% 2.03/0.85  % (1229088)Termination reason: Instruction limit
% 2.03/0.85  % (1229088)Termination phase: shuffling
% 2.03/0.85  % (1229088)Time elapsed: 0.008 s
% 2.03/0.85  % (1229088)Peak memory usage: 11 MB
% 2.03/0.85  % (1229088)Instructions burned: 9 (million)
% 2.03/0.85  % (1229094)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1566229960:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/20Mi)
% 2.03/0.85  % (1229094)Instruction limit reached! 
% 2.03/0.85  % (1229094)------------------------------
% 2.03/0.85  % (1229094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.85  % (1229094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.85  % (1229094)CaDiCaL version: 2.1.3
% 2.03/0.85  % (1229094)Termination reason: Instruction limit
% 2.03/0.85  % (1229094)Termination phase: shuffling
% 2.03/0.85  % (1229094)Time elapsed: 0.009 s
% 2.03/0.85  % (1229094)Peak memory usage: 11 MB
% 2.03/0.85  % (1229094)Instructions burned: 22 (million)
% 2.03/0.85  % (1229093)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=656372657:i=23:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/23Mi)
% 2.03/0.85  % (1229089)Instruction limit reached! 
% 2.03/0.85  % (1229089)------------------------------
% 2.03/0.85  % (1229089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.85  % (1229089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.85  % (1229089)CaDiCaL version: 2.1.3
% 2.03/0.85  % (1229089)Termination reason: Instruction limit
% 2.03/0.85  % (1229089)Termination phase: shuffling
% 2.03/0.85  % (1229089)Time elapsed: 0.027 s
% 2.03/0.85  % (1229089)Peak memory usage: 11 MB
% 2.03/0.85  % (1229089)Instructions burned: 31 (million)
% 2.03/0.85  % (1229099)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=279268163:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 2.03/0.85  % (1229098)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3926807709:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 2.03/0.85  % (1229093)Instruction limit reached! 
% 2.03/0.85  % (1229093)------------------------------
% 2.03/0.85  % (1229093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.85  % (1229093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.85  % (1229093)CaDiCaL version: 2.1.3
% 2.03/0.85  % (1229093)Termination reason: Instruction limit
% 2.03/0.85  % (1229093)Termination phase: shuffling
% 2.03/0.85  % (1229093)Time elapsed: 0.020 s
% 2.03/0.85  % (1229093)Peak memory usage: 11 MB
% 2.03/0.85  % (1229093)Instructions burned: 23 (million)
% 2.03/0.85  % (1229039) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1229031-1229039"...
% 2.03/0.85  % (1229039)...printing done.
% 2.03/0.85  % (1229039)Refutation found. Thanks to Tanya!
% 2.03/0.85  % SZS status Theorem for theBenchmark
% 2.03/0.85  % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.85  % (1229039)------------------------------
% 2.03/0.85  % (1229039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.85  % (1229039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.85  % (1229039)CaDiCaL version: 2.1.3
% 2.03/0.85  % (1229039)Termination reason: Refutation
% 2.03/0.85  % (1229039)Time elapsed: 0.299 s
% 2.03/0.85  % (1229039)Peak memory usage: 17 MB
% 2.03/0.85  % (1229039)Instructions burned: 342 (million)
% 2.03/0.85  % (1229031)Success in time 0.412 s
% 2.03/0.85  % Vampire exiting
%------------------------------------------------------------------------------