TSTP Solution File: SWW473^3 by Vampire---4.9

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%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW473^3 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 18:32:51 EDT 2024

% Result   : Theorem 1.68s 0.75s
% Output   : Refutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   35 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :  236 (  53 equ;   0 cnn)
%            Maximal formula atoms :    6 (   6 avg)
%            Number of connectives :  279 (  32   ~;  20   |;   7   &; 211   @)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  394 ( 391 usr;  10 con; 0-4 aty)
%            Number of variables   :   45 (   0   ^  45   !;   0   ?;  45   :)

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

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

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

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

thf(type_def_10,type,
    nat: $tType ).

thf(type_def_11,type,
    com: $tType ).

thf(func_def_0,type,
    x_a: $tType ).

thf(func_def_1,type,
    com: $tType ).

thf(func_def_2,type,
    pname: $tType ).

thf(func_def_3,type,
    int: $tType ).

thf(func_def_4,type,
    nat: $tType ).

thf(func_def_5,type,
    option_com: $tType ).

thf(func_def_6,type,
    body: pname > option_com ).

thf(func_def_7,type,
    ex: ( int > $o ) > $o ).

thf(func_def_8,type,
    finite_card_a_o: ( ( x_a > $o ) > $o ) > nat ).

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

thf(func_def_10,type,
    finite_card_int_o: ( ( int > $o ) > $o ) > nat ).

thf(func_def_11,type,
    finite_card_nat_o: ( ( nat > $o ) > $o ) > nat ).

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

thf(func_def_13,type,
    finite_card_pname: ( pname > $o ) > nat ).

thf(func_def_14,type,
    finite_card_int: ( int > $o ) > nat ).

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

thf(func_def_16,type,
    finite_finite_a_o_o: ( ( ( x_a > $o ) > $o ) > $o ) > $o ).

thf(func_def_17,type,
    finite1066544169me_o_o: ( ( ( pname > $o ) > $o ) > $o ) > $o ).

thf(func_def_18,type,
    finite229719499nt_o_o: ( ( ( int > $o ) > $o ) > $o ) > $o ).

thf(func_def_19,type,
    finite1676163439at_o_o: ( ( ( nat > $o ) > $o ) > $o ) > $o ).

thf(func_def_20,type,
    finite_finite_a_o: ( ( x_a > $o ) > $o ) > $o ).

thf(func_def_21,type,
    finite297249702name_o: ( ( pname > $o ) > $o ) > $o ).

thf(func_def_22,type,
    finite_finite_int_o: ( ( int > $o ) > $o ) > $o ).

thf(func_def_23,type,
    finite_finite_nat_o: ( ( nat > $o ) > $o ) > $o ).

thf(func_def_24,type,
    finite_finite_a: ( x_a > $o ) > $o ).

thf(func_def_25,type,
    finite_finite_pname: ( pname > $o ) > $o ).

thf(func_def_26,type,
    finite_finite_int: ( int > $o ) > $o ).

thf(func_def_27,type,
    finite_finite_nat: ( nat > $o ) > $o ).

thf(func_def_28,type,
    finite_folding_one_a: ( x_a > x_a > x_a ) > ( ( x_a > $o ) > x_a ) > $o ).

thf(func_def_29,type,
    finite1282449217_pname: ( pname > pname > pname ) > ( ( pname > $o ) > pname ) > $o ).

thf(func_def_30,type,
    finite1626084323ne_int: ( int > int > int ) > ( ( int > $o ) > int ) > $o ).

thf(func_def_31,type,
    finite988810631ne_nat: ( nat > nat > nat ) > ( ( nat > $o ) > nat ) > $o ).

thf(func_def_32,type,
    finite1819937229idem_a: ( x_a > x_a > x_a ) > ( ( x_a > $o ) > x_a ) > $o ).

thf(func_def_33,type,
    finite89670078_pname: ( pname > pname > pname ) > ( ( pname > $o ) > pname ) > $o ).

thf(func_def_34,type,
    finite1432773856em_int: ( int > int > int ) > ( ( int > $o ) > int ) > $o ).

thf(func_def_35,type,
    finite795500164em_nat: ( nat > nat > nat ) > ( ( nat > $o ) > nat ) > $o ).

thf(func_def_36,type,
    abs_abs_int: int > int ).

thf(func_def_37,type,
    minus_minus_a_o: ( x_a > $o ) > ( x_a > $o ) > x_a > $o ).

thf(func_def_38,type,
    minus_minus_pname_o: ( pname > $o ) > ( pname > $o ) > pname > $o ).

thf(func_def_39,type,
    minus_minus_int_o: ( int > $o ) > ( int > $o ) > int > $o ).

thf(func_def_40,type,
    minus_minus_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_41,type,
    minus_minus_int: int > int > int ).

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

thf(func_def_43,type,
    one_one_int: int ).

thf(func_def_44,type,
    one_one_nat: nat ).

thf(func_def_45,type,
    plus_plus_int: int > int > int ).

thf(func_def_46,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_47,type,
    times_times_int: int > int > int ).

thf(func_def_48,type,
    times_times_nat: nat > nat > nat ).

thf(func_def_49,type,
    zero_zero_int: int ).

thf(func_def_50,type,
    zero_zero_nat: nat ).

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

thf(func_def_52,type,
    the_int: ( int > $o ) > int ).

thf(func_def_53,type,
    the_nat: ( nat > $o ) > nat ).

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

thf(func_def_55,type,
    bit1: int > int ).

thf(func_def_56,type,
    pls: int ).

thf(func_def_57,type,
    number_number_of_int: int > int ).

thf(func_def_58,type,
    number_number_of_nat: int > nat ).

thf(func_def_59,type,
    succ: int > int ).

thf(func_def_60,type,
    suc: nat > nat ).

thf(func_def_61,type,
    nat_case_o: $o > ( nat > $o ) > nat > $o ).

thf(func_def_62,type,
    nat_case_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_63,type,
    semiri1621563631at_int: nat > int ).

thf(func_def_64,type,
    nat_neg: int > $o ).

thf(func_def_65,type,
    nat_tsub: int > int > int ).

thf(func_def_66,type,
    the_com: option_com > com ).

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

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

thf(func_def_69,type,
    bot_bot_int_o: int > $o ).

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

thf(func_def_72,type,
    bot_bot_nat: nat ).

thf(func_def_73,type,
    ord_less_int_o: ( int > $o ) > ( int > $o ) > $o ).

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

thf(func_def_75,type,
    ord_less_int: int > int > $o ).

thf(func_def_76,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_77,type,
    ord_less_eq_a_o_o: ( ( x_a > $o ) > $o ) > ( ( x_a > $o ) > $o ) > $o ).

thf(func_def_78,type,
    ord_le1205211808me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).

thf(func_def_79,type,
    ord_less_eq_int_o_o: ( ( int > $o ) > $o ) > ( ( int > $o ) > $o ) > $o ).

thf(func_def_80,type,
    ord_less_eq_nat_o_o: ( ( nat > $o ) > $o ) > ( ( nat > $o ) > $o ) > $o ).

thf(func_def_81,type,
    ord_less_eq_a_o: ( x_a > $o ) > ( x_a > $o ) > $o ).

thf(func_def_82,type,
    ord_less_eq_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).

thf(func_def_83,type,
    ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).

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

thf(func_def_85,type,
    ord_less_eq_o: $o > $o > $o ).

thf(func_def_86,type,
    ord_less_eq_int: int > int > $o ).

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

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

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

thf(func_def_90,type,
    collect_int_o_o: ( ( ( int > $o ) > $o ) > $o ) > ( ( int > $o ) > $o ) > $o ).

thf(func_def_91,type,
    collect_nat_o_o: ( ( ( nat > $o ) > $o ) > $o ) > ( ( nat > $o ) > $o ) > $o ).

thf(func_def_92,type,
    collect_a_o: ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).

thf(func_def_93,type,
    collect_pname_o: ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).

thf(func_def_94,type,
    collect_int_o: ( ( int > $o ) > $o ) > ( int > $o ) > $o ).

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

thf(func_def_96,type,
    collect_a: ( x_a > $o ) > x_a > $o ).

thf(func_def_97,type,
    collect_pname: ( pname > $o ) > pname > $o ).

thf(func_def_98,type,
    collect_int: ( int > $o ) > int > $o ).

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

thf(func_def_100,type,
    image_a_o_a: ( ( x_a > $o ) > x_a ) > ( ( x_a > $o ) > $o ) > x_a > $o ).

thf(func_def_101,type,
    image_a_o_pname: ( ( x_a > $o ) > pname ) > ( ( x_a > $o ) > $o ) > pname > $o ).

thf(func_def_102,type,
    image_a_o_int: ( ( x_a > $o ) > int ) > ( ( x_a > $o ) > $o ) > int > $o ).

thf(func_def_103,type,
    image_a_o_nat: ( ( x_a > $o ) > nat ) > ( ( x_a > $o ) > $o ) > nat > $o ).

thf(func_def_104,type,
    image_pname_o_a: ( ( pname > $o ) > x_a ) > ( ( pname > $o ) > $o ) > x_a > $o ).

thf(func_def_105,type,
    image_pname_o_pname: ( ( pname > $o ) > pname ) > ( ( pname > $o ) > $o ) > pname > $o ).

thf(func_def_106,type,
    image_pname_o_int: ( ( pname > $o ) > int ) > ( ( pname > $o ) > $o ) > int > $o ).

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

thf(func_def_108,type,
    image_int_o_a: ( ( int > $o ) > x_a ) > ( ( int > $o ) > $o ) > x_a > $o ).

thf(func_def_109,type,
    image_int_o_pname: ( ( int > $o ) > pname ) > ( ( int > $o ) > $o ) > pname > $o ).

thf(func_def_110,type,
    image_int_o_int: ( ( int > $o ) > int ) > ( ( int > $o ) > $o ) > int > $o ).

thf(func_def_111,type,
    image_int_o_nat: ( ( int > $o ) > nat ) > ( ( int > $o ) > $o ) > nat > $o ).

thf(func_def_112,type,
    image_nat_o_a: ( ( nat > $o ) > x_a ) > ( ( nat > $o ) > $o ) > x_a > $o ).

thf(func_def_113,type,
    image_nat_o_pname: ( ( nat > $o ) > pname ) > ( ( nat > $o ) > $o ) > pname > $o ).

thf(func_def_114,type,
    image_nat_o_int: ( ( nat > $o ) > int ) > ( ( nat > $o ) > $o ) > int > $o ).

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

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

thf(func_def_117,type,
    image_a_pname_o: ( x_a > pname > $o ) > ( x_a > $o ) > ( pname > $o ) > $o ).

thf(func_def_118,type,
    image_a_int_o: ( x_a > int > $o ) > ( x_a > $o ) > ( int > $o ) > $o ).

thf(func_def_119,type,
    image_a_nat_o: ( x_a > nat > $o ) > ( x_a > $o ) > ( nat > $o ) > $o ).

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

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

thf(func_def_122,type,
    image_a_int: ( x_a > int ) > ( x_a > $o ) > int > $o ).

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

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

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

thf(func_def_126,type,
    image_pname_int_o: ( pname > int > $o ) > ( pname > $o ) > ( int > $o ) > $o ).

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

thf(func_def_128,type,
    image_pname_a: ( pname > x_a ) > ( pname > $o ) > x_a > $o ).

thf(func_def_129,type,
    image_pname_pname: ( pname > pname ) > ( pname > $o ) > pname > $o ).

thf(func_def_130,type,
    image_pname_int: ( pname > int ) > ( pname > $o ) > int > $o ).

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

thf(func_def_132,type,
    image_int_a_o: ( int > x_a > $o ) > ( int > $o ) > ( x_a > $o ) > $o ).

thf(func_def_133,type,
    image_int_pname_o: ( int > pname > $o ) > ( int > $o ) > ( pname > $o ) > $o ).

thf(func_def_134,type,
    image_int_int_o: ( int > int > $o ) > ( int > $o ) > ( int > $o ) > $o ).

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

thf(func_def_136,type,
    image_int_a: ( int > x_a ) > ( int > $o ) > x_a > $o ).

thf(func_def_137,type,
    image_int_pname: ( int > pname ) > ( int > $o ) > pname > $o ).

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

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

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

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

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

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

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

thf(func_def_145,type,
    insert_a_o: ( x_a > $o ) > ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).

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

thf(func_def_147,type,
    insert_int_o: ( int > $o ) > ( ( int > $o ) > $o ) > ( int > $o ) > $o ).

thf(func_def_148,type,
    insert_nat_o: ( nat > $o ) > ( ( nat > $o ) > $o ) > ( nat > $o ) > $o ).

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

thf(func_def_150,type,
    insert_pname: pname > ( pname > $o ) > pname > $o ).

thf(func_def_151,type,
    insert_int: int > ( int > $o ) > int > $o ).

thf(func_def_152,type,
    insert_nat: nat > ( nat > $o ) > nat > $o ).

thf(func_def_153,type,
    the_elem_a: ( x_a > $o ) > x_a ).

thf(func_def_154,type,
    the_elem_int: ( int > $o ) > int ).

thf(func_def_155,type,
    the_elem_nat: ( nat > $o ) > nat ).

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

thf(func_def_157,type,
    fequal_int: int > int > $o ).

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

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

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

thf(func_def_161,type,
    member_int_o: ( int > $o ) > ( ( int > $o ) > $o ) > $o ).

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

thf(func_def_163,type,
    member_a: x_a > ( x_a > $o ) > $o ).

thf(func_def_164,type,
    member_pname: pname > ( pname > $o ) > $o ).

thf(func_def_165,type,
    member_int: int > ( int > $o ) > $o ).

thf(func_def_166,type,
    member_nat: nat > ( nat > $o ) > $o ).

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

thf(func_def_168,type,
    p: ( x_a > $o ) > ( x_a > $o ) > $o ).

thf(func_def_169,type,
    u: pname > $o ).

thf(func_def_170,type,
    mgt: com > x_a ).

thf(func_def_171,type,
    mgt_call: pname > x_a ).

thf(func_def_172,type,
    na: nat ).

thf(func_def_173,type,
    pn: pname ).

thf(func_def_174,type,
    wt: com > $o ).

thf(func_def_185,type,
    sP0: int > int > $o ).

thf(func_def_186,type,
    sP1: nat > nat > ( nat > int ) > int > $o ).

thf(func_def_187,type,
    sP2: int > ( int > $o ) > $o ).

thf(func_def_188,type,
    sK3: int > int > nat ).

thf(func_def_189,type,
    sK4: nat > ( nat > $o ) > nat ).

thf(func_def_190,type,
    sK5: ( int > $o ) > int ).

thf(func_def_191,type,
    sK6: ( int > $o ) > int > $o ).

thf(func_def_192,type,
    sK7: ( nat > x_a > $o ) > nat ).

thf(func_def_193,type,
    sK8: ( nat > $o ) > nat ).

thf(func_def_194,type,
    sK9: nat > ( nat > $o ) > nat ).

thf(func_def_195,type,
    sK10: ( int > $o ) > ( int > pname > $o ) > ( ( pname > $o ) > $o ) > int > $o ).

thf(func_def_196,type,
    sK11: ( nat > $o ) > ( int > $o ) > ( nat > int ) > nat > $o ).

thf(func_def_197,type,
    sK12: ( nat > $o ) > ( nat > int ) > nat ).

thf(func_def_198,type,
    sK13: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_199,type,
    sK14: ( int > $o ) > int > int ).

thf(func_def_200,type,
    sK15: ( int > $o ) > int > int ).

thf(func_def_201,type,
    sK16: ( nat > $o ) > nat ).

thf(func_def_202,type,
    sK17: ( ( pname > $o ) > $o ) > pname ).

thf(func_def_203,type,
    sK18: ( ( pname > $o ) > $o ) > pname ).

thf(func_def_204,type,
    sK19: ( ( pname > $o ) > $o ) > pname > $o ).

thf(func_def_205,type,
    sK20: ( pname > $o ) > pname > $o ).

thf(func_def_206,type,
    sK21: ( pname > $o ) > pname ).

thf(func_def_207,type,
    sK22: ( int > $o ) > int ).

thf(func_def_208,type,
    sK23: ( x_a > $o ) > x_a ).

thf(func_def_209,type,
    sK24: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_210,type,
    sK25: nat > nat > nat ).

thf(func_def_211,type,
    sK26: ( pname > pname > $o ) > ( pname > $o ) > ( ( pname > $o ) > $o ) > pname > $o ).

thf(func_def_212,type,
    sK27: ( nat > nat ) > nat ).

thf(func_def_213,type,
    sK28: ( nat > nat ) > nat ).

thf(func_def_214,type,
    sK29: ( x_a > $o ) > pname ).

thf(func_def_215,type,
    sK30: ( ( x_a > $o ) > pname ) > ( pname > $o ) > ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).

thf(func_def_216,type,
    sK31: ( ( nat > $o ) > $o ) > ( x_a > $o ) > ( ( nat > $o ) > x_a ) > ( nat > $o ) > $o ).

thf(func_def_217,type,
    sK32: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_218,type,
    sK33: int > ( int > $o ) > int ).

thf(func_def_219,type,
    sK34: ( ( pname > $o ) > int ) > ( ( pname > $o ) > $o ) > ( int > $o ) > ( pname > $o ) > $o ).

thf(func_def_220,type,
    sK35: ( int > pname > $o ) > ( int > $o ) > int ).

thf(func_def_221,type,
    sK36: ( ( int > $o ) > $o ) > int > $o ).

thf(func_def_222,type,
    sK37: ( ( int > $o ) > $o ) > int ).

thf(func_def_223,type,
    sK38: ( int > $o ) > ( ( x_a > $o ) > int ) > ( ( x_a > $o ) > $o ) > ( x_a > $o ) > $o ).

thf(func_def_224,type,
    sK39: ( x_a > $o ) > ( x_a > $o ) > x_a ).

thf(func_def_225,type,
    sK40: ( int > x_a ) > ( int > $o ) > ( x_a > $o ) > int > $o ).

thf(func_def_226,type,
    sK41: ( nat > nat > $o ) > nat ).

thf(func_def_227,type,
    sK42: ( ( pname > $o ) > $o ) > pname > $o ).

thf(func_def_228,type,
    sK43: ( ( pname > $o ) > $o ) > pname ).

thf(func_def_229,type,
    sK44: ( nat > $o ) > ( int > $o ) > ( nat > int ) > nat ).

thf(func_def_230,type,
    sK45: ( nat > $o ) > nat ).

thf(func_def_231,type,
    sK46: ( nat > $o ) > ( ( pname > $o ) > $o ) > ( nat > pname > $o ) > nat > $o ).

thf(func_def_232,type,
    sK47: ( pname > $o ) > ( pname > nat ) > ( nat > $o ) > pname > $o ).

thf(func_def_233,type,
    sK48: nat > nat > ( nat > int ) > int > nat ).

thf(func_def_234,type,
    sK49: nat > nat > ( nat > int ) > nat ).

thf(func_def_235,type,
    sK50: ( pname > $o ) > ( pname > $o ) > pname ).

thf(func_def_236,type,
    sK51: ( int > $o ) > int > int ).

thf(func_def_237,type,
    sK52: ( nat > $o ) > nat ).

thf(func_def_238,type,
    sK53: ( nat > $o ) > nat > $o ).

thf(func_def_239,type,
    sK54: ( ( nat > $o ) > $o ) > ( nat > $o ) > ( ( nat > $o ) > nat ) > ( nat > $o ) > $o ).

thf(func_def_240,type,
    sK55: ( int > $o ) > int ).

thf(func_def_241,type,
    sK56: ( ( x_a > $o ) > $o ) > x_a ).

thf(func_def_242,type,
    sK57: ( ( x_a > $o ) > $o ) > x_a > $o ).

thf(func_def_243,type,
    sK58: ( ( nat > $o ) > $o ) > nat ).

thf(func_def_244,type,
    sK59: ( ( nat > $o ) > $o ) > nat > $o ).

thf(func_def_245,type,
    sK60: nat > ( nat > $o ) > nat ).

thf(func_def_246,type,
    sK61: ( int > $o ) > int ).

thf(func_def_247,type,
    sK62: int > nat ).

thf(func_def_248,type,
    sK63: ( pname > $o ) > pname ).

thf(func_def_249,type,
    sK64: ( pname > $o ) > pname > $o ).

thf(func_def_250,type,
    sK65: ( pname > $o ) > pname ).

thf(func_def_251,type,
    sK66: ( x_a > $o ) > x_a ).

thf(func_def_252,type,
    sK67: nat > nat ).

thf(func_def_253,type,
    sK68: ( pname > x_a ) > ( pname > $o ) > pname ).

thf(func_def_254,type,
    sK69: ( nat > $o ) > ( nat > int > $o ) > nat ).

thf(func_def_255,type,
    sK70: ( ( pname > $o ) > $o ) > pname > $o ).

thf(func_def_256,type,
    sK71: ( ( pname > $o ) > $o ) > pname ).

thf(func_def_257,type,
    sK72: nat > nat > ( nat > $o ) > nat ).

thf(func_def_258,type,
    sK73: ( ( nat > $o ) > $o ) > ( x_a > $o ) > ( x_a > nat > $o ) > x_a > $o ).

thf(func_def_259,type,
    sK74: ( int > $o ) > ( ( x_a > $o ) > $o ) > ( int > x_a > $o ) > int > $o ).

thf(func_def_260,type,
    sK75: ( nat > $o ) > ( nat > pname > $o ) > nat ).

thf(func_def_261,type,
    sK76: ( nat > $o ) > nat ).

thf(func_def_262,type,
    sK77: ( ( nat > $o ) > $o ) > ( ( nat > $o ) > int ) > ( int > $o ) > ( nat > $o ) > $o ).

thf(func_def_263,type,
    sK78: ( pname > int ) > ( int > $o ) > ( pname > $o ) > pname > $o ).

thf(func_def_264,type,
    sK79: ( ( x_a > $o ) > $o ) > x_a ).

thf(func_def_265,type,
    sK80: ( ( x_a > $o ) > $o ) > x_a > $o ).

thf(func_def_266,type,
    sK81: ( ( x_a > $o ) > $o ) > x_a ).

thf(func_def_267,type,
    sK82: nat > ( nat > $o ) > nat ).

thf(func_def_268,type,
    sK83: ( nat > $o ) > nat ).

thf(func_def_269,type,
    sK84: ( pname > nat > $o ) > ( ( nat > $o ) > $o ) > ( pname > $o ) > pname > $o ).

thf(func_def_270,type,
    sK85: ( int > $o ) > int ).

thf(func_def_271,type,
    sK86: ( x_a > $o ) > x_a ).

thf(func_def_272,type,
    sK87: ( pname > $o ) > ( int > $o ) > ( int > pname ) > int > $o ).

thf(func_def_273,type,
    sK88: ( nat > nat > nat ) > nat ).

thf(func_def_274,type,
    sK89: ( nat > nat > nat ) > nat ).

thf(func_def_275,type,
    sK90: nat > nat > nat ).

thf(func_def_276,type,
    sK91: ( pname > pname > pname ) > pname ).

thf(func_def_277,type,
    sK92: ( pname > pname > pname ) > pname ).

thf(func_def_278,type,
    sK93: int > nat ).

thf(func_def_279,type,
    sK94: ( nat > int ) > nat ).

thf(func_def_280,type,
    sK95: ( pname > $o ) > ( x_a > $o ) > ( pname > x_a ) > pname > $o ).

thf(func_def_281,type,
    sK96: ( nat > $o ) > ( ( nat > $o ) > $o ) > nat ).

thf(func_def_282,type,
    sK97: ( nat > $o ) > ( ( nat > $o ) > $o ) > nat > $o ).

thf(func_def_283,type,
    sK98: ( ( x_a > $o ) > $o ) > ( x_a > $o ) > x_a ).

thf(func_def_284,type,
    sK99: ( ( x_a > $o ) > $o ) > ( x_a > $o ) > x_a > $o ).

thf(func_def_285,type,
    sK100: ( x_a > $o ) > ( x_a > $o ) > x_a ).

thf(func_def_286,type,
    sK101: ( x_a > int > $o ) > ( ( int > $o ) > $o ) > ( x_a > $o ) > x_a > $o ).

thf(func_def_287,type,
    sK102: ( nat > int > $o ) > nat ).

thf(func_def_288,type,
    sK103: ( nat > int > $o ) > ( nat > $o ) > ( ( int > $o ) > $o ) > nat > $o ).

thf(func_def_289,type,
    sK104: ( ( x_a > $o ) > $o ) > ( ( x_a > $o ) > x_a ) > ( x_a > $o ) > ( x_a > $o ) > $o ).

thf(func_def_290,type,
    sK105: ( pname > $o ) > ( pname > x_a ) > ( x_a > $o ) > pname ).

thf(func_def_291,type,
    sK106: ( x_a > $o ) > x_a ).

thf(func_def_292,type,
    sK107: ( x_a > $o ) > x_a > $o ).

thf(func_def_293,type,
    sK108: int > nat ).

thf(func_def_294,type,
    sK109: x_a > ( pname > x_a ) > ( pname > $o ) > pname ).

thf(func_def_295,type,
    sK110: nat > nat ).

thf(func_def_296,type,
    sK111: ( int > x_a > $o ) > ( int > $o ) > int ).

thf(func_def_297,type,
    sK112: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_298,type,
    sK113: ( int > $o ) > ( ( int > $o ) > $o ) > int ).

thf(func_def_299,type,
    sK114: ( int > $o ) > ( ( int > $o ) > $o ) > int > $o ).

thf(func_def_300,type,
    sK115: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_301,type,
    sK116: ( pname > $o ) > ( ( pname > $o ) > $o ) > pname > $o ).

thf(func_def_302,type,
    sK117: ( pname > $o ) > ( ( pname > $o ) > $o ) > pname ).

thf(func_def_303,type,
    sK118: int > ( int > $o ) > int ).

thf(func_def_304,type,
    sK119: ( ( int > $o ) > x_a ) > ( ( int > $o ) > $o ) > ( x_a > $o ) > ( int > $o ) > $o ).

thf(func_def_305,type,
    sK120: ( x_a > x_a > x_a ) > x_a ).

thf(func_def_306,type,
    sK121: ( x_a > x_a > x_a ) > x_a ).

thf(func_def_307,type,
    sK122: ( nat > $o ) > nat ).

thf(func_def_308,type,
    sK123: ( pname > $o ) > pname ).

thf(func_def_309,type,
    sK124: int > ( int > $o ) > int ).

thf(func_def_310,type,
    sK125: ( ( pname > $o ) > pname ) > ( pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).

thf(func_def_311,type,
    sK126: ( nat > $o ) > ( pname > $o ) > ( nat > pname ) > nat > $o ).

thf(func_def_312,type,
    sK127: ( ( nat > $o ) > pname ) > ( pname > $o ) > ( ( nat > $o ) > $o ) > ( nat > $o ) > $o ).

thf(func_def_313,type,
    sK128: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_314,type,
    sK129: ( nat > nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_315,type,
    sK130: ( int > x_a ) > ( int > $o ) > int ).

thf(func_def_316,type,
    sK131: ( pname > x_a ) > ( x_a > $o ) > ( pname > $o ) > pname > $o ).

thf(func_def_317,type,
    sK132: ( ( x_a > $o ) > nat ) > ( ( x_a > $o ) > $o ) > ( nat > $o ) > ( x_a > $o ) > $o ).

thf(func_def_318,type,
    sK133: nat > nat > nat ).

thf(func_def_319,type,
    sK134: ( int > $o ) > int ).

thf(func_def_320,type,
    sK135: ( int > $o ) > nat ).

thf(func_def_321,type,
    sK136: ( ( pname > $o ) > $o ) > ( x_a > pname > $o ) > ( x_a > $o ) > x_a > $o ).

thf(func_def_322,type,
    sK137: nat > nat > nat ).

thf(func_def_323,type,
    sK138: ( x_a > $o ) > ( nat > $o ) > ( x_a > nat ) > x_a > $o ).

thf(func_def_324,type,
    sK139: ( nat > nat ) > nat ).

thf(func_def_325,type,
    sK140: nat > nat ).

thf(func_def_326,type,
    sK141: ( int > $o ) > int ).

thf(func_def_327,type,
    sK142: ( int > $o ) > int > $o ).

thf(func_def_328,type,
    sK143: ( ( nat > $o ) > $o ) > nat > $o ).

thf(func_def_329,type,
    sK144: ( ( nat > $o ) > $o ) > nat ).

thf(func_def_330,type,
    sK145: ( int > $o ) > ( ( nat > $o ) > $o ) > ( int > nat > $o ) > int > $o ).

thf(func_def_331,type,
    sK146: ( nat > $o ) > nat ).

thf(func_def_332,type,
    sK147: nat > nat ).

thf(func_def_333,type,
    sK148: ( ( int > $o ) > $o ) > ( pname > $o ) > ( pname > int > $o ) > pname > $o ).

thf(func_def_334,type,
    sK149: ( nat > $o ) > nat > nat ).

thf(func_def_335,type,
    sK150: ( ( x_a > $o ) > $o ) > x_a ).

thf(func_def_336,type,
    sK151: ( ( x_a > $o ) > $o ) > x_a > $o ).

thf(func_def_337,type,
    sK152: ( int > int > $o ) > ( int > $o ) > int ).

thf(func_def_338,type,
    sK153: ( ( int > $o ) > nat ) > ( ( int > $o ) > $o ) > ( nat > $o ) > ( int > $o ) > $o ).

thf(func_def_339,type,
    sK154: ( nat > int ) > nat > int > nat ).

thf(func_def_340,type,
    sK155: ( nat > int ) > nat > nat ).

thf(func_def_341,type,
    sK156: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_342,type,
    sK157: int > ( int > $o ) > int ).

thf(func_def_343,type,
    sK158: int > ( int > $o ) > int ).

thf(func_def_344,type,
    sK159: ( nat > $o ) > nat > $o ).

thf(func_def_345,type,
    sK160: ( nat > $o ) > nat ).

thf(func_def_346,type,
    sK161: int > ( nat > int ) > ( nat > $o ) > nat ).

thf(func_def_347,type,
    sK162: ( int > $o ) > nat ).

thf(func_def_348,type,
    sK163: ( int > $o ) > int ).

thf(func_def_349,type,
    sK164: nat > nat > nat ).

thf(func_def_350,type,
    sK165: ( nat > $o ) > ( ( x_a > $o ) > $o ) > ( nat > x_a > $o ) > nat > $o ).

thf(func_def_351,type,
    sK166: ( ( x_a > $o ) > $o ) > ( pname > $o ) > ( pname > x_a > $o ) > pname > $o ).

thf(func_def_352,type,
    sK167: ( nat > $o ) > ( ( pname > $o ) > nat ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).

thf(func_def_353,type,
    sK168: ( pname > $o ) > ( pname > x_a ) > x_a > pname ).

thf(func_def_354,type,
    sK169: ( nat > int ) > ( nat > $o ) > int > nat ).

thf(func_def_355,type,
    sK170: ( nat > pname > $o ) > nat ).

thf(func_def_356,type,
    sK171: nat > nat > nat ).

thf(func_def_357,type,
    sK172: ( ( x_a > $o ) > $o ) > ( x_a > $o ) > ( x_a > x_a > $o ) > x_a > $o ).

thf(func_def_358,type,
    sK173: ( nat > $o ) > nat ).

thf(func_def_359,type,
    sK174: ( pname > $o ) > ( pname > $o ) > ( pname > pname ) > pname > $o ).

thf(func_def_360,type,
    sK175: ( int > $o ) > int > int ).

thf(func_def_361,type,
    sK176: ( x_a > $o ) > ( ( pname > $o ) > $o ) > ( ( pname > $o ) > x_a ) > ( pname > $o ) > $o ).

thf(func_def_362,type,
    sK177: ( nat > $o ) > nat ).

thf(func_def_363,type,
    sK178: ( int > int > int ) > int ).

thf(func_def_364,type,
    sK179: ( int > int > int ) > int ).

thf(func_def_365,type,
    sK180: ( int > $o ) > int > int ).

thf(func_def_366,type,
    sK181: ( ( nat > $o ) > $o ) > ( nat > $o ) > ( nat > nat > $o ) > nat > $o ).

thf(func_def_367,type,
    sK182: ( nat > nat ) > nat ).

thf(func_def_368,type,
    sK183: ( nat > nat ) > nat ).

thf(func_def_369,type,
    sK184: ( int > $o ) > ( nat > $o ) > ( nat > int ) > nat > $o ).

thf(func_def_370,type,
    sK185: int > ( int > $o ) > int ).

thf(func_def_371,type,
    sK186: int > ( int > $o ) > int ).

thf(func_def_372,type,
    sK187: ( x_a > $o ) > ( x_a > x_a ) > ( x_a > $o ) > x_a > $o ).

thf(func_def_373,type,
    sK188: nat > nat ).

thf(func_def_374,type,
    sK189: ( nat > nat ) > nat ).

thf(func_def_375,type,
    sK190: ( int > $o ) > ( int > nat > $o ) > int ).

thf(func_def_376,type,
    sK191: ( x_a > pname ) > ( x_a > $o ) > ( pname > $o ) > x_a > $o ).

thf(func_def_377,type,
    sK192: int > int > nat ).

thf(func_def_378,type,
    sK193: nat > nat > ( nat > $o ) > nat ).

thf(func_def_379,type,
    sK194: ( nat > int ) > int > nat > nat ).

thf(func_def_380,type,
    sK195: ( nat > int ) > nat > nat ).

thf(func_def_381,type,
    sK196: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_382,type,
    sK197: int > nat ).

thf(func_def_383,type,
    sK198: int > nat ).

thf(func_def_384,type,
    sK199: ( x_a > $o ) > ( int > $o ) > ( x_a > int ) > x_a > $o ).

thf(func_def_385,type,
    sK200: ( int > $o ) > ( ( int > $o ) > $o ) > ( ( int > $o ) > int ) > ( int > $o ) > $o ).

thf(func_def_386,type,
    sK201: ( ( int > $o ) > $o ) > int ).

thf(func_def_387,type,
    sK202: ( ( int > $o ) > $o ) > int > $o ).

thf(func_def_388,type,
    sK203: ( ( int > $o ) > $o ) > int ).

thf(func_def_389,type,
    sK204: ( x_a > $o ) > x_a ).

thf(func_def_390,type,
    sK205: ( x_a > $o ) > ( x_a > $o ) > x_a ).

thf(func_def_391,type,
    sK206: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_392,type,
    sK207: ( ( int > $o ) > $o ) > int > $o ).

thf(func_def_393,type,
    sK208: ( ( int > $o ) > $o ) > int ).

thf(func_def_394,type,
    sK209: nat > nat > nat ).

thf(func_def_395,type,
    sK210: int > nat ).

thf(func_def_396,type,
    sK211: ( x_a > $o ) > x_a > $o ).

thf(func_def_397,type,
    sK212: ( x_a > $o ) > x_a ).

thf(func_def_398,type,
    sK213: ( nat > x_a > $o ) > ( nat > $o ) > nat ).

thf(func_def_399,type,
    sK214: ( ( nat > $o ) > $o ) > nat > $o ).

thf(func_def_400,type,
    sK215: ( ( nat > $o ) > $o ) > nat ).

thf(func_def_401,type,
    sK216: ( ( nat > $o ) > $o ) > nat ).

thf(func_def_402,type,
    sK217: ( x_a > $o ) > ( nat > x_a ) > ( nat > $o ) > nat > $o ).

thf(func_def_403,type,
    sK218: ( nat > $o ) > nat ).

thf(func_def_404,type,
    sK219: nat > ( nat > $o ) > nat ).

thf(func_def_405,type,
    sK220: ( int > $o ) > ( ( int > $o ) > $o ) > ( int > int > $o ) > int > $o ).

thf(func_def_406,type,
    sK221: ( pname > $o ) > ( ( int > $o ) > pname ) > ( ( int > $o ) > $o ) > ( int > $o ) > $o ).

thf(func_def_408,type,
    ph223: 
      !>[X0: $tType] : X0 ).

thf(f8161,plain,
    $false,
    inference(trivial_inequality_removal,[],[f8160]) ).

thf(f8160,plain,
    $true != $true,
    inference(superposition,[],[f8155,f5384]) ).

thf(f5384,plain,
    ( ( member_pname @ pn @ u )
    = $true ),
    inference(cnf_transformation,[],[f2943]) ).

thf(f2943,plain,
    ( ( member_pname @ pn @ u )
    = $true ),
    inference(fool_elimination,[],[f2942]) ).

thf(f2942,plain,
    member_pname @ pn @ u,
    inference(rectify,[],[f1213]) ).

thf(f1213,axiom,
    member_pname @ pn @ u,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).

thf(f8155,plain,
    ( ( member_pname @ pn @ u )
   != $true ),
    inference(trivial_inequality_removal,[],[f8150]) ).

thf(f8150,plain,
    ( ( $true != $true )
    | ( ( member_pname @ pn @ u )
     != $true ) ),
    inference(superposition,[],[f7794,f7215]) ).

thf(f7215,plain,
    ! [X2: pname > x_a,X3: pname > $o,X1: pname] :
      ( ( $true
        = ( member_a @ ( X2 @ X1 ) @ ( image_pname_a @ X2 @ X3 ) ) )
      | ( $true
       != ( member_pname @ X1 @ X3 ) ) ),
    inference(equality_resolution,[],[f5749]) ).

thf(f5749,plain,
    ! [X2: pname > x_a,X3: pname > $o,X0: x_a,X1: pname] :
      ( ( ( X2 @ X1 )
       != X0 )
      | ( ( member_a @ X0 @ ( image_pname_a @ X2 @ X3 ) )
        = $true )
      | ( $true
       != ( member_pname @ X1 @ X3 ) ) ),
    inference(cnf_transformation,[],[f4046]) ).

thf(f4046,plain,
    ! [X0: x_a,X1: pname,X2: pname > x_a,X3: pname > $o] :
      ( ( ( X2 @ X1 )
       != X0 )
      | ( ( member_a @ X0 @ ( image_pname_a @ X2 @ X3 ) )
        = $true )
      | ( $true
       != ( member_pname @ X1 @ X3 ) ) ),
    inference(flattening,[],[f4045]) ).

thf(f4045,plain,
    ! [X0: x_a,X1: pname,X2: pname > x_a,X3: pname > $o] :
      ( ( ( member_a @ X0 @ ( image_pname_a @ X2 @ X3 ) )
        = $true )
      | ( $true
       != ( member_pname @ X1 @ X3 ) )
      | ( ( X2 @ X1 )
       != X0 ) ),
    inference(ennf_transformation,[],[f2277]) ).

thf(f2277,plain,
    ! [X0: x_a,X1: pname,X2: pname > x_a,X3: pname > $o] :
      ( ( ( X2 @ X1 )
        = X0 )
     => ( ( $true
          = ( member_pname @ X1 @ X3 ) )
       => ( ( member_a @ X0 @ ( image_pname_a @ X2 @ X3 ) )
          = $true ) ) ),
    inference(fool_elimination,[],[f2276]) ).

thf(f2276,plain,
    ! [X0: x_a,X1: pname,X2: pname > x_a,X3: pname > $o] :
      ( ( ( X2 @ X1 )
        = X0 )
     => ( ( member_pname @ X1 @ X3 )
       => ( member_a @ X0 @ ( image_pname_a @ X2 @ X3 ) ) ) ),
    inference(rectify,[],[f284]) ).

thf(f284,axiom,
    ! [X57: x_a,X59: pname,X58: pname > x_a,X56: pname > $o] :
      ( ( ( X58 @ X59 )
        = X57 )
     => ( ( member_pname @ X59 @ X56 )
       => ( member_a @ X57 @ ( image_pname_a @ X58 @ X56 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_283_image__eqI) ).

thf(f7794,plain,
    ( ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) )
   != $true ),
    inference(trivial_inequality_removal,[],[f7793]) ).

thf(f7793,plain,
    ( ( $true != $true )
    | ( ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) )
     != $true ) ),
    inference(forward_demodulation,[],[f7792,f5463]) ).

thf(f5463,plain,
    ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
    = $true ),
    inference(cnf_transformation,[],[f1299]) ).

thf(f1299,plain,
    ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
    = $true ),
    inference(fool_elimination,[],[f1298]) ).

thf(f1298,plain,
    ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ),
    inference(rectify,[],[f1210]) ).

thf(f1210,axiom,
    ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

thf(f7792,plain,
    ( ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
     != $true )
    | ( ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) )
     != $true ) ),
    inference(trivial_inequality_removal,[],[f7785]) ).

thf(f7785,plain,
    ( ( $true != $true )
    | ( ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) )
     != $true )
    | ( ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) )
     != $true ) ),
    inference(superposition,[],[f5591,f5528]) ).

thf(f5528,plain,
    ! [X2: x_a > $o,X0: x_a > $o,X1: x_a] :
      ( ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 )
        = $true )
      | ( ( ord_less_eq_a_o @ X2 @ X0 )
       != $true )
      | ( $true
       != ( member_a @ X1 @ X0 ) ) ),
    inference(cnf_transformation,[],[f4775]) ).

thf(f4775,plain,
    ! [X0: x_a > $o,X1: x_a,X2: x_a > $o] :
      ( ( ( ( ( ord_less_eq_a_o @ X2 @ X0 )
            = $true )
          & ( $true
            = ( member_a @ X1 @ X0 ) ) )
        | ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 )
         != $true ) )
      & ( ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 )
          = $true )
        | ( ( ord_less_eq_a_o @ X2 @ X0 )
         != $true )
        | ( $true
         != ( member_a @ X1 @ X0 ) ) ) ),
    inference(flattening,[],[f4774]) ).

thf(f4774,plain,
    ! [X0: x_a > $o,X1: x_a,X2: x_a > $o] :
      ( ( ( ( ( ord_less_eq_a_o @ X2 @ X0 )
            = $true )
          & ( $true
            = ( member_a @ X1 @ X0 ) ) )
        | ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 )
         != $true ) )
      & ( ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 )
          = $true )
        | ( ( ord_less_eq_a_o @ X2 @ X0 )
         != $true )
        | ( $true
         != ( member_a @ X1 @ X0 ) ) ) ),
    inference(nnf_transformation,[],[f2109]) ).

thf(f2109,plain,
    ! [X0: x_a > $o,X1: x_a,X2: x_a > $o] :
      ( ( ( ( ord_less_eq_a_o @ X2 @ X0 )
          = $true )
        & ( $true
          = ( member_a @ X1 @ X0 ) ) )
    <=> ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 )
        = $true ) ),
    inference(fool_elimination,[],[f2108]) ).

thf(f2108,plain,
    ! [X0: x_a > $o,X1: x_a,X2: x_a > $o] :
      ( ( ord_less_eq_a_o @ ( insert_a @ X1 @ X2 ) @ X0 )
    <=> ( ( ord_less_eq_a_o @ X2 @ X0 )
        & ( member_a @ X1 @ X0 ) ) ),
    inference(rectify,[],[f454]) ).

thf(f454,axiom,
    ! [X181: x_a > $o,X179: x_a,X180: x_a > $o] :
      ( ( ord_less_eq_a_o @ ( insert_a @ X179 @ X180 ) @ X181 )
    <=> ( ( ord_less_eq_a_o @ X180 @ X181 )
        & ( member_a @ X179 @ X181 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_453_insert__subset) ).

thf(f5591,plain,
    ( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
   != $true ),
    inference(cnf_transformation,[],[f3413]) ).

thf(f3413,plain,
    ( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
   != $true ),
    inference(flattening,[],[f2165]) ).

thf(f2165,plain,
    ( ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) )
   != $true ),
    inference(fool_elimination,[],[f2164]) ).

thf(f2164,plain,
    ~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ),
    inference(rectify,[],[f1216]) ).

thf(f1216,negated_conjecture,
    ~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ),
    inference(negated_conjecture,[],[f1215]) ).

thf(f1215,conjecture,
    ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWW473^3 : TPTP v8.2.0. Released v5.3.0.
% 0.11/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Wed Jun 19 09:02:09 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.19/0.35  This is a TH0_CAX_EQU_NAR problem
% 0.19/0.35  Running higher-order theorem proving
% 0.19/0.35  Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.22/0.45  % (16051)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.46  % (16046)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.46  % (16047)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.22/0.46  % (16045)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.46  % (16048)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.46  % (16049)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.46  % (16050)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.46  % (16049)Instruction limit reached!
% 0.22/0.46  % (16049)------------------------------
% 0.22/0.46  % (16049)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46  % (16049)Termination reason: Unknown
% 0.22/0.46  % (16049)Termination phase: shuffling
% 0.22/0.46  
% 0.22/0.46  % (16049)Memory used [KB]: 2686
% 0.22/0.46  % (16049)Time elapsed: 0.004 s
% 0.22/0.46  % (16049)Instructions burned: 2 (million)
% 0.22/0.46  % (16049)------------------------------
% 0.22/0.46  % (16049)------------------------------
% 0.22/0.46  % (16048)Instruction limit reached!
% 0.22/0.46  % (16048)------------------------------
% 0.22/0.46  % (16048)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46  % (16048)Termination reason: Unknown
% 0.22/0.46  % (16048)Termination phase: shuffling
% 0.22/0.46  
% 0.22/0.46  % (16048)Memory used [KB]: 2814
% 0.22/0.46  % (16048)Time elapsed: 0.005 s
% 0.22/0.46  % (16048)Instructions burned: 2 (million)
% 0.22/0.46  % (16048)------------------------------
% 0.22/0.46  % (16048)------------------------------
% 0.22/0.46  % (16046)Instruction limit reached!
% 0.22/0.46  % (16046)------------------------------
% 0.22/0.46  % (16046)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46  % (16046)Termination reason: Unknown
% 0.22/0.46  % (16046)Termination phase: shuffling
% 0.22/0.46  
% 0.22/0.46  % (16046)Memory used [KB]: 2814
% 0.22/0.46  % (16046)Time elapsed: 0.006 s
% 0.22/0.46  % (16046)Instructions burned: 4 (million)
% 0.22/0.46  % (16046)------------------------------
% 0.22/0.46  % (16046)------------------------------
% 0.22/0.46  % (16051)Instruction limit reached!
% 0.22/0.46  % (16051)------------------------------
% 0.22/0.46  % (16051)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46  % (16051)Termination reason: Unknown
% 0.22/0.46  % (16051)Termination phase: shuffling
% 0.22/0.46  
% 0.22/0.46  % (16051)Memory used [KB]: 3454
% 0.22/0.46  % (16051)Time elapsed: 0.010 s
% 0.22/0.46  % (16051)Instructions burned: 20 (million)
% 0.22/0.46  % (16051)------------------------------
% 0.22/0.46  % (16051)------------------------------
% 0.22/0.47  % (16055)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.47  % (16055)Instruction limit reached!
% 0.22/0.47  % (16055)------------------------------
% 0.22/0.47  % (16055)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47  % (16055)Termination reason: Unknown
% 0.22/0.47  % (16055)Termination phase: shuffling
% 0.22/0.47  
% 0.22/0.47  % (16055)Memory used [KB]: 2814
% 0.22/0.47  % (16055)Time elapsed: 0.004 s
% 0.22/0.47  % (16055)Instructions burned: 4 (million)
% 0.22/0.47  % (16055)------------------------------
% 0.22/0.47  % (16055)------------------------------
% 0.22/0.48  % (16052)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.48  % (16053)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 0.22/0.48  % (16047)Instruction limit reached!
% 0.22/0.48  % (16047)------------------------------
% 0.22/0.48  % (16047)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48  % (16054)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.22/0.48  % (16047)Termination reason: Unknown
% 0.22/0.48  % (16047)Termination phase: shuffling
% 0.22/0.48  
% 0.22/0.48  % (16047)Memory used [KB]: 3837
% 0.22/0.48  % (16047)Time elapsed: 0.022 s
% 0.22/0.48  % (16047)Instructions burned: 27 (million)
% 0.22/0.48  % (16047)------------------------------
% 0.22/0.48  % (16047)------------------------------
% 0.22/0.48  % (16052)Instruction limit reached!
% 0.22/0.48  % (16052)------------------------------
% 0.22/0.48  % (16052)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48  % (16052)Termination reason: Unknown
% 0.22/0.48  % (16052)Termination phase: shuffling
% 0.22/0.48  
% 0.22/0.48  % (16052)Memory used [KB]: 2814
% 0.22/0.48  % (16052)Time elapsed: 0.005 s
% 0.22/0.48  % (16052)Instructions burned: 3 (million)
% 0.22/0.48  % (16052)------------------------------
% 0.22/0.48  % (16052)------------------------------
% 0.22/0.48  % (16056)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2998ds/1041Mi)
% 0.22/0.49  % (16054)Instruction limit reached!
% 0.22/0.49  % (16054)------------------------------
% 0.22/0.49  % (16054)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49  % (16054)Termination reason: Unknown
% 0.22/0.49  % (16054)Termination phase: shuffling
% 0.22/0.49  
% 0.22/0.49  % (16054)Memory used [KB]: 3198
% 0.22/0.49  % (16054)Time elapsed: 0.013 s
% 0.22/0.49  % (16054)Instructions burned: 15 (million)
% 0.22/0.49  % (16054)------------------------------
% 0.22/0.49  % (16054)------------------------------
% 0.22/0.49  % (16057)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.22/0.50  % (16058)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2998ds/16Mi)
% 0.22/0.50  % (16053)Instruction limit reached!
% 0.22/0.50  % (16053)------------------------------
% 0.22/0.50  % (16053)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.50  % (16053)Termination reason: Unknown
% 0.22/0.50  % (16053)Termination phase: shuffling
% 0.22/0.50  
% 0.22/0.50  % (16053)Memory used [KB]: 3837
% 0.22/0.50  % (16053)Time elapsed: 0.023 s
% 0.22/0.50  % (16053)Instructions burned: 37 (million)
% 0.22/0.50  % (16053)------------------------------
% 0.22/0.50  % (16053)------------------------------
% 0.22/0.50  % (16057)Instruction limit reached!
% 0.22/0.50  % (16057)------------------------------
% 0.22/0.50  % (16057)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.50  % (16057)Termination reason: Unknown
% 0.22/0.50  % (16057)Termination phase: shuffling
% 0.22/0.50  
% 0.22/0.50  % (16057)Memory used [KB]: 2942
% 0.22/0.50  % (16057)Time elapsed: 0.008 s
% 0.22/0.50  % (16057)Instructions burned: 7 (million)
% 0.22/0.50  % (16057)------------------------------
% 0.22/0.50  % (16057)------------------------------
% 0.22/0.51  % (16059)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.51  % (16058)Instruction limit reached!
% 0.22/0.51  % (16058)------------------------------
% 0.22/0.51  % (16058)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.51  % (16058)Termination reason: Unknown
% 0.22/0.51  % (16058)Termination phase: shuffling
% 0.22/0.51  
% 0.22/0.51  % (16058)Memory used [KB]: 3326
% 0.22/0.51  % (16058)Time elapsed: 0.014 s
% 0.22/0.51  % (16058)Instructions burned: 16 (million)
% 0.22/0.51  % (16058)------------------------------
% 0.22/0.51  % (16058)------------------------------
% 0.22/0.51  % (16059)Instruction limit reached!
% 0.22/0.51  % (16059)------------------------------
% 0.22/0.51  % (16059)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.51  % (16059)Termination reason: Unknown
% 0.22/0.51  % (16059)Termination phase: shuffling
% 0.22/0.51  
% 0.22/0.51  % (16059)Memory used [KB]: 2814
% 0.22/0.51  % (16059)Time elapsed: 0.005 s
% 0.22/0.51  % (16059)Instructions burned: 3 (million)
% 0.22/0.51  % (16059)------------------------------
% 0.22/0.51  % (16059)------------------------------
% 0.22/0.51  % (16060)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.52  % (16061)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.22/0.52  % (16060)Instruction limit reached!
% 0.22/0.52  % (16060)------------------------------
% 0.22/0.52  % (16060)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.52  % (16060)Termination reason: Unknown
% 0.22/0.52  % (16060)Termination phase: shuffling
% 0.22/0.52  
% 0.22/0.52  % (16060)Memory used [KB]: 2814
% 0.22/0.52  % (16060)Time elapsed: 0.005 s
% 0.22/0.52  % (16060)Instructions burned: 3 (million)
% 0.22/0.52  % (16060)------------------------------
% 0.22/0.52  % (16060)------------------------------
% 0.22/0.52  % (16061)Instruction limit reached!
% 0.22/0.52  % (16061)------------------------------
% 0.22/0.52  % (16061)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.52  % (16061)Termination reason: Unknown
% 0.22/0.52  % (16061)Termination phase: shuffling
% 0.22/0.52  
% 0.22/0.52  % (16061)Memory used [KB]: 2942
% 0.22/0.52  % (16061)Time elapsed: 0.008 s
% 0.22/0.52  % (16061)Instructions burned: 7 (million)
% 0.22/0.52  % (16061)------------------------------
% 0.22/0.52  % (16061)------------------------------
% 0.22/0.52  % (16062)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.52  % (16063)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 0.22/0.53  % (16062)Instruction limit reached!
% 0.22/0.53  % (16062)------------------------------
% 0.22/0.53  % (16062)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.53  % (16062)Termination reason: Unknown
% 0.22/0.53  % (16062)Termination phase: shuffling
% 0.22/0.53  
% 0.22/0.53  % (16062)Memory used [KB]: 2814
% 0.22/0.53  % (16062)Time elapsed: 0.005 s
% 0.22/0.53  % (16062)Instructions burned: 3 (million)
% 0.22/0.53  % (16062)------------------------------
% 0.22/0.53  % (16062)------------------------------
% 0.22/0.53  % (16063)Instruction limit reached!
% 0.22/0.53  % (16063)------------------------------
% 0.22/0.53  % (16063)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.53  % (16063)Termination reason: Unknown
% 0.22/0.53  % (16063)Termination phase: shuffling
% 0.22/0.53  
% 0.22/0.53  % (16063)Memory used [KB]: 2814
% 0.22/0.53  % (16063)Time elapsed: 0.006 s
% 0.22/0.53  % (16063)Instructions burned: 4 (million)
% 0.22/0.53  % (16063)------------------------------
% 0.22/0.53  % (16063)------------------------------
% 0.22/0.53  % (16064)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.22/0.54  % (16065)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2998ds/710Mi)
% 0.22/0.54  % (16066)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.22/0.54  % (16067)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2998ds/902Mi)
% 0.22/0.55  % (16064)Instruction limit reached!
% 0.22/0.55  % (16064)------------------------------
% 0.22/0.55  % (16064)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.55  % (16064)Termination reason: Unknown
% 0.22/0.55  % (16064)Termination phase: shuffling
% 0.22/0.55  
% 0.22/0.55  % (16064)Memory used [KB]: 3326
% 0.22/0.55  % (16064)Time elapsed: 0.015 s
% 0.22/0.55  % (16064)Instructions burned: 18 (million)
% 0.22/0.55  % (16064)------------------------------
% 0.22/0.55  % (16064)------------------------------
% 0.22/0.55  % (16066)Instruction limit reached!
% 0.22/0.55  % (16066)------------------------------
% 0.22/0.55  % (16066)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.55  % (16066)Termination reason: Unknown
% 0.22/0.55  % (16066)Termination phase: shuffling
% 0.22/0.55  
% 0.22/0.55  % (16066)Memory used [KB]: 2942
% 0.22/0.55  % (16066)Time elapsed: 0.007 s
% 0.22/0.55  % (16066)Instructions burned: 6 (million)
% 0.22/0.55  % (16066)------------------------------
% 0.22/0.55  % (16066)------------------------------
% 0.22/0.56  % (16068)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.22/0.56  % (16069)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 1.09/0.57  % (16069)Instruction limit reached!
% 1.09/0.57  % (16069)------------------------------
% 1.09/0.57  % (16069)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.09/0.57  % (16069)Termination reason: Unknown
% 1.09/0.57  % (16069)Termination phase: shuffling
% 1.09/0.57  
% 1.09/0.57  % (16069)Memory used [KB]: 2814
% 1.09/0.57  % (16069)Time elapsed: 0.006 s
% 1.09/0.57  % (16069)Instructions burned: 5 (million)
% 1.09/0.57  % (16069)------------------------------
% 1.09/0.57  % (16069)------------------------------
% 1.09/0.57  % (16045)Instruction limit reached!
% 1.09/0.57  % (16045)------------------------------
% 1.09/0.57  % (16045)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.09/0.57  % (16045)Termination reason: Unknown
% 1.09/0.57  % (16045)Termination phase: Property scanning
% 1.09/0.57  
% 1.09/0.57  % (16045)Memory used [KB]: 6908
% 1.09/0.57  % (16045)Time elapsed: 0.116 s
% 1.09/0.57  % (16045)Instructions burned: 185 (million)
% 1.09/0.57  % (16045)------------------------------
% 1.09/0.57  % (16045)------------------------------
% 1.09/0.58  % (16068)Instruction limit reached!
% 1.09/0.58  % (16068)------------------------------
% 1.09/0.58  % (16068)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.09/0.58  % (16068)Termination reason: Unknown
% 1.09/0.58  % (16068)Termination phase: shuffling
% 1.09/0.58  
% 1.09/0.58  % (16068)Memory used [KB]: 3454
% 1.09/0.58  % (16068)Time elapsed: 0.016 s
% 1.09/0.58  % (16068)Instructions burned: 22 (million)
% 1.09/0.58  % (16068)------------------------------
% 1.09/0.58  % (16068)------------------------------
% 1.09/0.58  % (16070)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 1.09/0.58  % (16071)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2997ds/377Mi)
% 1.09/0.58  % (16070)Instruction limit reached!
% 1.09/0.58  % (16070)------------------------------
% 1.09/0.58  % (16070)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.09/0.58  % (16070)Termination reason: Unknown
% 1.09/0.58  % (16070)Termination phase: shuffling
% 1.09/0.58  
% 1.09/0.58  % (16070)Memory used [KB]: 2942
% 1.09/0.58  % (16070)Time elapsed: 0.004 s
% 1.09/0.58  % (16070)Instructions burned: 7 (million)
% 1.09/0.58  % (16070)------------------------------
% 1.09/0.58  % (16070)------------------------------
% 1.23/0.59  % (16072)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2997ds/779Mi)
% 1.23/0.59  % (16074)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 1.23/0.60  % (16074)Instruction limit reached!
% 1.23/0.60  % (16074)------------------------------
% 1.23/0.60  % (16074)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.23/0.60  % (16074)Termination reason: Unknown
% 1.23/0.60  % (16074)Termination phase: shuffling
% 1.23/0.60  
% 1.23/0.60  % (16074)Memory used [KB]: 3454
% 1.23/0.60  % (16074)Time elapsed: 0.009 s
% 1.23/0.60  % (16074)Instructions burned: 20 (million)
% 1.23/0.60  % (16074)------------------------------
% 1.23/0.60  % (16074)------------------------------
% 1.23/0.60  % (16050)Instruction limit reached!
% 1.23/0.60  % (16050)------------------------------
% 1.23/0.60  % (16050)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.23/0.60  % (16050)Termination reason: Unknown
% 1.23/0.60  % (16050)Termination phase: Saturation
% 1.23/0.60  
% 1.23/0.60  % (16050)Memory used [KB]: 11001
% 1.23/0.60  % (16050)Time elapsed: 0.148 s
% 1.23/0.60  % (16050)Instructions burned: 276 (million)
% 1.23/0.60  % (16050)------------------------------
% 1.23/0.60  % (16050)------------------------------
% 1.23/0.61  % (16075)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2997ds/879Mi)
% 1.23/0.61  % (16076)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2997ds/17Mi)
% 1.23/0.62  % (16076)Instruction limit reached!
% 1.23/0.62  % (16076)------------------------------
% 1.23/0.62  % (16076)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.23/0.62  % (16076)Termination reason: Unknown
% 1.23/0.62  % (16076)Termination phase: shuffling
% 1.23/0.62  
% 1.23/0.62  % (16076)Memory used [KB]: 3326
% 1.23/0.62  % (16076)Time elapsed: 0.010 s
% 1.23/0.62  % (16076)Instructions burned: 19 (million)
% 1.23/0.62  % (16076)------------------------------
% 1.23/0.62  % (16076)------------------------------
% 1.42/0.63  % (16077)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.42/0.63  % (16077)Instruction limit reached!
% 1.42/0.63  % (16077)------------------------------
% 1.42/0.63  % (16077)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.42/0.63  % (16077)Termination reason: Unknown
% 1.42/0.63  % (16077)Termination phase: shuffling
% 1.42/0.63  
% 1.42/0.63  % (16077)Memory used [KB]: 2814
% 1.42/0.63  % (16077)Time elapsed: 0.004 s
% 1.42/0.63  % (16077)Instructions burned: 3 (million)
% 1.42/0.63  % (16077)------------------------------
% 1.42/0.63  % (16077)------------------------------
% 1.46/0.64  % (16078)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2997ds/30Mi)
% 1.46/0.66  % (16078)Instruction limit reached!
% 1.46/0.66  % (16078)------------------------------
% 1.46/0.66  % (16078)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.46/0.66  % (16078)Termination reason: Unknown
% 1.46/0.66  % (16078)Termination phase: shuffling
% 1.46/0.66  
% 1.46/0.66  % (16078)Memory used [KB]: 3965
% 1.46/0.66  % (16078)Time elapsed: 0.015 s
% 1.46/0.66  % (16078)Instructions burned: 32 (million)
% 1.46/0.66  % (16078)------------------------------
% 1.46/0.66  % (16078)------------------------------
% 1.46/0.67  % (16079)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2997ds/127Mi)
% 1.68/0.71  % (16071)Instruction limit reached!
% 1.68/0.71  % (16071)------------------------------
% 1.68/0.71  % (16071)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.68/0.71  % (16071)Termination reason: Unknown
% 1.68/0.71  % (16071)Termination phase: Saturation
% 1.68/0.71  
% 1.68/0.71  % (16071)Memory used [KB]: 12025
% 1.68/0.71  % (16071)Time elapsed: 0.126 s
% 1.68/0.71  % (16071)Instructions burned: 378 (million)
% 1.68/0.71  % (16071)------------------------------
% 1.68/0.71  % (16071)------------------------------
% 1.68/0.71  % (16079)Instruction limit reached!
% 1.68/0.71  % (16079)------------------------------
% 1.68/0.71  % (16079)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.68/0.71  % (16079)Termination reason: Unknown
% 1.68/0.71  % (16079)Termination phase: Property scanning
% 1.68/0.71  
% 1.68/0.71  % (16079)Memory used [KB]: 5245
% 1.68/0.71  % (16079)Time elapsed: 0.048 s
% 1.68/0.71  % (16079)Instructions burned: 128 (million)
% 1.68/0.71  % (16079)------------------------------
% 1.68/0.71  % (16079)------------------------------
% 1.68/0.72  % (16080)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2996ds/100Mi)
% 1.68/0.72  % (16081)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2996ds/3Mi)
% 1.68/0.72  % (16081)Instruction limit reached!
% 1.68/0.72  % (16081)------------------------------
% 1.68/0.72  % (16081)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.68/0.72  % (16081)Termination reason: Unknown
% 1.68/0.72  % (16081)Termination phase: shuffling
% 1.68/0.72  
% 1.68/0.72  % (16081)Memory used [KB]: 2814
% 1.68/0.72  % (16081)Time elapsed: 0.003 s
% 1.68/0.72  % (16081)Instructions burned: 3 (million)
% 1.68/0.72  % (16081)------------------------------
% 1.68/0.72  % (16081)------------------------------
% 1.68/0.73  % (16082)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2996ds/20Mi)
% 1.68/0.74  % (16082)Instruction limit reached!
% 1.68/0.74  % (16082)------------------------------
% 1.68/0.74  % (16082)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.68/0.74  % (16082)Termination reason: Unknown
% 1.68/0.74  % (16082)Termination phase: shuffling
% 1.68/0.74  
% 1.68/0.74  % (16082)Memory used [KB]: 3454
% 1.68/0.74  % (16082)Time elapsed: 0.010 s
% 1.68/0.74  % (16082)Instructions burned: 20 (million)
% 1.68/0.74  % (16082)------------------------------
% 1.68/0.74  % (16082)------------------------------
% 1.68/0.75  % (16067)First to succeed.
% 1.68/0.75  % (16080)Instruction limit reached!
% 1.68/0.75  % (16080)------------------------------
% 1.68/0.75  % (16080)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.68/0.75  % (16080)Termination reason: Unknown
% 1.68/0.75  % (16080)Termination phase: shuffling
% 1.68/0.75  
% 1.68/0.75  % (16080)Memory used [KB]: 5884
% 1.68/0.75  % (16080)Time elapsed: 0.033 s
% 1.68/0.75  % (16080)Instructions burned: 100 (million)
% 1.68/0.75  % (16080)------------------------------
% 1.68/0.75  % (16080)------------------------------
% 1.68/0.75  % (16067)Refutation found. Thanks to Tanya!
% 1.68/0.75  % SZS status Theorem for theBenchmark
% 1.68/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.75  % (16067)------------------------------
% 1.68/0.75  % (16067)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.68/0.75  % (16067)Termination reason: Refutation
% 1.68/0.75  
% 1.68/0.75  % (16067)Memory used [KB]: 13432
% 1.68/0.75  % (16067)Time elapsed: 0.206 s
% 1.68/0.75  % (16067)Instructions burned: 551 (million)
% 1.68/0.75  % (16067)------------------------------
% 1.68/0.75  % (16067)------------------------------
% 1.68/0.75  % (16044)Success in time 0.38 s
%------------------------------------------------------------------------------