↑ Up

Vampire-SAT---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP172^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n001.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 08:10:58 AM UTC 2026

% Result   : Theorem 0.21s 0.35s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :   37 (  21 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  124 (  14   ~;   0   |;   0   &; 110   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Number of types       :   26 (  25 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  505 ( 502 usr;  18 con; 0-5 aty)
%            Number of variables   :    8 (   4   ^;   4   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    heap_S1465075775_j_k_l: $tType ).

thf(type_def_6,type,
    option1749760295_j_k_l: $tType ).

thf(type_def_7,type,
    rObjec1413572695_j_k_l: $tType ).

thf(type_def_8,type,
    object945351580_d_e_f: $tType ).

thf(type_def_9,type,
    option841825948on_j_k: $tType ).

thf(type_def_10,type,
    rObjec1617416918on_j_k: $tType ).

thf(type_def_11,type,
    rDocum326988203on_j_k: $tType ).

thf(type_def_12,type,
    list_l118626078tr_b_c: $tType ).

thf(type_def_13,type,
    list_n282880152tr_b_c: $tType ).

thf(type_def_14,type,
    node_p1234578834tr_b_c: $tType ).

thf(type_def_15,type,
    option2026120038on_j_k: $tType ).

thf(type_def_16,type,
    option1330818496tr_d_e: $tType ).

thf(type_def_17,type,
    fset_d1663890464tr_d_e: $tType ).

thf(type_def_18,type,
    sum_su1221287958on_j_k: $tType ).

thf(type_def_19,type,
    docume1935157360tr_d_e: $tType ).

thf(type_def_20,type,
    sum_su1576157353tr_d_e: $tType ).

thf(type_def_21,type,
    rObjec103300152t_unit: $tType ).

thf(type_def_22,type,
    option_element_ptr_a: $tType ).

thf(type_def_23,type,
    list_list_char: $tType ).

thf(type_def_24,type,
    element_ptr_a: $tType ).

thf(type_def_25,type,
    list_char: $tType ).

thf(type_def_26,type,
    set_nat: $tType ).

thf(type_def_27,type,
    product_unit: $tType ).

thf(type_def_28,type,
    char: $tType ).

thf(type_def_29,type,
    nat: $tType ).

thf(type_def_30,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    rDocum427676485on_j_k: product_unit > list_char > option_element_ptr_a > list_n282880152tr_b_c > option2026120038on_j_k > rDocum326988203on_j_k ).

thf(func_def_1,type,
    discon866287741on_j_k: rObjec1617416918on_j_k > list_n282880152tr_b_c ).

thf(func_def_2,type,
    discon442323090on_j_k: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).

thf(func_def_3,type,
    doctyp814403297on_j_k: rObjec1617416918on_j_k > list_char ).

thf(func_def_4,type,
    doctyp68000440on_j_k: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).

thf(func_def_5,type,
    docume1175131570on_j_k: rObjec1617416918on_j_k > option_element_ptr_a ).

thf(func_def_6,type,
    docume244715269on_j_k: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).

thf(func_def_7,type,
    more_c1453068134on_j_k: rObjec1617416918on_j_k > option2026120038on_j_k ).

thf(func_def_8,type,
    more_u1044474223_c_a_b: ( option2026120038on_j_k > option2026120038on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).

thf(func_def_9,type,
    nothin757132294on_j_k: rObjec1617416918on_j_k > product_unit ).

thf(func_def_10,type,
    nothin1105341917on_j_k: ( product_unit > product_unit ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).

thf(func_def_11,type,
    cast_D1252964113_h_i_l: rObjec1617416918on_j_k > rObjec1413572695_j_k_l ).

thf(func_def_12,type,
    cast_O1034441233_j_k_l: rObjec1413572695_j_k_l > option841825948on_j_k ).

thf(func_def_13,type,
    docume1070804385_j_k_l: heap_S1465075775_j_k_l > fset_d1663890464tr_d_e ).

thf(func_def_14,type,
    get_D_1192261494_j_k_l: docume1935157360tr_d_e > heap_S1465075775_j_k_l > option841825948on_j_k ).

thf(func_def_15,type,
    is_doc1417632087_j_k_l: rObjec1413572695_j_k_l > $o ).

thf(func_def_16,type,
    put_D_2126422573_h_i_l: docume1935157360tr_d_e > rObjec1617416918on_j_k > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l ).

thf(func_def_17,type,
    cast_d1608273229_b_c_f: docume1935157360tr_d_e > object945351580_d_e_f ).

thf(func_def_18,type,
    cast_o761049241_d_e_f: object945351580_d_e_f > option1330818496tr_d_e ).

thf(func_def_19,type,
    docume1825929374tr_d_e: sum_su1576157353tr_d_e > docume1935157360tr_d_e ).

thf(func_def_20,type,
    docume1511108976tr_d_e: nat > docume1935157360tr_d_e ).

thf(func_def_21,type,
    docume1799427087tr_d_e: ( sum_su1576157353tr_d_e > nat ) > docume1935157360tr_d_e > nat ).

thf(func_def_22,type,
    is_doc2037328342tr_d_e: docume1935157360tr_d_e > $o ).

thf(func_def_23,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_24,type,
    zero_zero_nat: nat ).

thf(func_def_25,type,
    append846395565tr_b_c: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).

thf(func_def_26,type,
    append_char: list_char > list_char > list_char ).

thf(func_def_27,type,
    count_2128515342tr_b_c: list_n282880152tr_b_c > node_p1234578834tr_b_c > nat ).

thf(func_def_28,type,
    count_list_char: list_char > char > nat ).

thf(func_def_29,type,
    gen_le170886571tr_b_c: nat > list_l118626078tr_b_c > nat ).

thf(func_def_30,type,
    gen_length_list_char: nat > list_list_char > nat ).

thf(func_def_31,type,
    gen_le955068453tr_b_c: nat > list_n282880152tr_b_c > nat ).

thf(func_def_32,type,
    gen_length_char: nat > list_char > nat ).

thf(func_def_33,type,
    insert678865070tr_b_c: node_p1234578834tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).

thf(func_def_34,type,
    insert_char: char > list_char > list_char ).

thf(func_def_35,type,
    cons_l1809994318tr_b_c: list_n282880152tr_b_c > list_l118626078tr_b_c > list_l118626078tr_b_c ).

thf(func_def_36,type,
    cons_list_char: list_char > list_list_char > list_list_char ).

thf(func_def_37,type,
    cons_n413985352tr_b_c: node_p1234578834tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).

thf(func_def_38,type,
    cons_char: char > list_char > list_char ).

thf(func_def_39,type,
    nil_li198338206tr_b_c: list_l118626078tr_b_c ).

thf(func_def_40,type,
    nil_list_char: list_list_char ).

thf(func_def_41,type,
    nil_no279930520tr_b_c: list_n282880152tr_b_c ).

thf(func_def_42,type,
    nil_char: list_char ).

thf(func_def_43,type,
    list_e529904353tr_b_c: ( list_n282880152tr_b_c > $o ) > list_l118626078tr_b_c > $o ).

thf(func_def_44,type,
    list_ex1_list_char: ( list_char > $o ) > list_list_char > $o ).

thf(func_def_45,type,
    list_e469495899tr_b_c: ( node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ).

thf(func_def_46,type,
    list_ex1_char: ( char > $o ) > list_char > $o ).

thf(func_def_47,type,
    n_list1807568544tr_b_c: nat > list_n282880152tr_b_c > list_l118626078tr_b_c ).

thf(func_def_48,type,
    n_lists_char: nat > list_char > list_list_char ).

thf(func_def_49,type,
    nths_n1256675478tr_b_c: list_n282880152tr_b_c > set_nat > list_n282880152tr_b_c ).

thf(func_def_50,type,
    nths_char: list_char > set_nat > list_char ).

thf(func_def_51,type,
    produc1509350401tr_b_c: list_l118626078tr_b_c > list_l118626078tr_b_c ).

thf(func_def_52,type,
    product_lists_char: list_list_char > list_list_char ).

thf(func_def_53,type,
    splice1294941035tr_b_c: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).

thf(func_def_54,type,
    splice_char: list_char > list_char > list_char ).

thf(func_def_55,type,
    subseq1828679783tr_b_c: list_n282880152tr_b_c > list_l118626078tr_b_c ).

thf(func_def_56,type,
    subseqs_char: list_char > list_list_char ).

thf(func_def_57,type,
    suc: nat > nat ).

thf(func_def_58,type,
    size_s724035844tr_d_e: docume1935157360tr_d_e > nat ).

thf(func_def_59,type,
    size_s9369994tr_b_c: list_l118626078tr_b_c > nat ).

thf(func_def_60,type,
    size_s2008079621t_char: list_list_char > nat ).

thf(func_def_61,type,
    size_s2106487044tr_b_c: list_n282880152tr_b_c > nat ).

thf(func_def_62,type,
    size_size_list_char: list_char > nat ).

thf(func_def_63,type,
    size_s1129684517_ptr_a: option_element_ptr_a > nat ).

thf(func_def_64,type,
    size_s7667464on_j_k: option841825948on_j_k > nat ).

thf(func_def_65,type,
    size_s1129069050on_j_k: option2026120038on_j_k > nat ).

thf(func_def_66,type,
    nat_set_decode: nat > set_nat ).

thf(func_def_67,type,
    nat_set_encode: set_nat > nat ).

thf(func_def_68,type,
    nat_triangle: nat > nat ).

thf(func_def_69,type,
    rObjec1303043984on_j_k: product_unit > rDocum326988203on_j_k > rObjec1617416918on_j_k ).

thf(func_def_70,type,
    rObjec730108904t_unit: product_unit > product_unit > rObjec103300152t_unit ).

thf(func_def_71,type,
    extend1066431834on_j_k: rObjec103300152t_unit > rDocum326988203on_j_k > rObjec1617416918on_j_k ).

thf(func_def_72,type,
    extend_Product_unit: rObjec103300152t_unit > product_unit > rObjec103300152t_unit ).

thf(func_def_73,type,
    more_R1625109589on_j_k: rObjec1617416918on_j_k > rDocum326988203on_j_k ).

thf(func_def_74,type,
    more_Product_unit: rObjec103300152t_unit > product_unit ).

thf(func_def_75,type,
    nothin1567949605on_j_k: rObjec1617416918on_j_k > product_unit ).

thf(func_def_76,type,
    nothing_Product_unit: rObjec103300152t_unit > product_unit ).

thf(func_def_77,type,
    get_O_623850005_j_k_l: object945351580_d_e_f > heap_S1465075775_j_k_l > option1749760295_j_k_l ).

thf(func_def_78,type,
    put_O_834343516_j_k_l: object945351580_d_e_f > rObjec1413572695_j_k_l > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l ).

thf(func_def_79,type,
    bind_e22036734_ptr_a: option_element_ptr_a > ( element_ptr_a > option_element_ptr_a ) > option_element_ptr_a ).

thf(func_def_80,type,
    bind_e1012152651on_j_k: option_element_ptr_a > ( element_ptr_a > option2026120038on_j_k ) > option2026120038on_j_k ).

thf(func_def_81,type,
    bind_S287509021_ptr_a: option2026120038on_j_k > ( sum_su1221287958on_j_k > option_element_ptr_a ) > option_element_ptr_a ).

thf(func_def_82,type,
    bind_S607117548on_j_k: option2026120038on_j_k > ( sum_su1221287958on_j_k > option2026120038on_j_k ) > option2026120038on_j_k ).

thf(func_def_83,type,
    none_d1458959567tr_d_e: option1330818496tr_d_e ).

thf(func_def_84,type,
    none_element_ptr_a: option_element_ptr_a ).

thf(func_def_85,type,
    none_R1587534007on_j_k: option841825948on_j_k ).

thf(func_def_86,type,
    none_R1773662646_j_k_l: option1749760295_j_k_l ).

thf(func_def_87,type,
    none_S1393028981on_j_k: option2026120038on_j_k ).

thf(func_def_88,type,
    some_d1631029323tr_d_e: docume1935157360tr_d_e > option1330818496tr_d_e ).

thf(func_def_89,type,
    some_element_ptr_a: element_ptr_a > option_element_ptr_a ).

thf(func_def_90,type,
    some_R67702331on_j_k: rObjec1617416918on_j_k > option841825948on_j_k ).

thf(func_def_91,type,
    some_R1598191922_j_k_l: rObjec1413572695_j_k_l > option1749760295_j_k_l ).

thf(func_def_92,type,
    some_S1960742641on_j_k: sum_su1221287958on_j_k > option2026120038on_j_k ).

thf(func_def_93,type,
    size_o1635055885tr_d_e: ( docume1935157360tr_d_e > nat ) > option1330818496tr_d_e > nat ).

thf(func_def_94,type,
    size_o1591053974_ptr_a: ( element_ptr_a > nat ) > option_element_ptr_a > nat ).

thf(func_def_95,type,
    size_o26122489on_j_k: ( rObjec1617416918on_j_k > nat ) > option841825948on_j_k > nat ).

thf(func_def_96,type,
    size_o310046708_j_k_l: ( rObjec1413572695_j_k_l > nat ) > option1749760295_j_k_l > nat ).

thf(func_def_97,type,
    size_o1777465779on_j_k: ( sum_su1221287958on_j_k > nat ) > option2026120038on_j_k > nat ).

thf(func_def_98,type,
    bot_bo1111241908tr_d_e: fset_d1663890464tr_d_e ).

thf(func_def_99,type,
    bot_bot_nat: nat ).

thf(func_def_100,type,
    bot_bot_set_nat: set_nat ).

thf(func_def_101,type,
    product_Unity: product_unit ).

thf(func_def_102,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_103,type,
    type_w92696601_j_k_l: heap_S1465075775_j_k_l > $o ).

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

thf(func_def_105,type,
    h: heap_S1465075775_j_k_l ).

thf(func_def_106,type,
    h2: heap_S1465075775_j_k_l ).

thf(func_def_108,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_109,type,
    vAND: $o > $o > $o ).

thf(func_def_112,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_113,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_114,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_115,type,
    vNOT: $o > $o ).

thf(func_def_116,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_117,type,
    vOR: $o > $o > $o ).

thf(func_def_118,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_119,type,
    vIMP: $o > $o > $o ).

thf(func_def_120,type,
    sP0: ( option_element_ptr_a > option_element_ptr_a > $o ) > option_element_ptr_a > option_element_ptr_a > $o ).

thf(func_def_121,type,
    sP1: ( option_element_ptr_a > option2026120038on_j_k > $o ) > option_element_ptr_a > option2026120038on_j_k > $o ).

thf(func_def_122,type,
    sP2: ( option2026120038on_j_k > option_element_ptr_a > $o ) > option2026120038on_j_k > option_element_ptr_a > $o ).

thf(func_def_123,type,
    sP3: ( option2026120038on_j_k > option2026120038on_j_k > $o ) > option2026120038on_j_k > option2026120038on_j_k > $o ).

thf(func_def_124,type,
    sK4: rObjec1617416918on_j_k > product_unit ).

thf(func_def_125,type,
    sK5: rObjec1617416918on_j_k > product_unit ).

thf(func_def_126,type,
    sK6: rObjec1617416918on_j_k > list_char ).

thf(func_def_127,type,
    sK7: rObjec1617416918on_j_k > option_element_ptr_a ).

thf(func_def_128,type,
    sK8: rObjec1617416918on_j_k > list_n282880152tr_b_c ).

thf(func_def_129,type,
    sK9: rObjec1617416918on_j_k > option2026120038on_j_k ).

thf(func_def_130,type,
    sK10: ( rObjec1617416918on_j_k > $o ) > product_unit ).

thf(func_def_131,type,
    sK11: ( rObjec1617416918on_j_k > $o ) > product_unit ).

thf(func_def_132,type,
    sK12: ( rObjec1617416918on_j_k > $o ) > list_char ).

thf(func_def_133,type,
    sK13: ( rObjec1617416918on_j_k > $o ) > option_element_ptr_a ).

thf(func_def_134,type,
    sK14: ( rObjec1617416918on_j_k > $o ) > list_n282880152tr_b_c ).

thf(func_def_135,type,
    sK15: ( rObjec1617416918on_j_k > $o ) > option2026120038on_j_k ).

thf(func_def_136,type,
    sK16: ( rObjec103300152t_unit > $o ) > product_unit ).

thf(func_def_137,type,
    sK17: rObjec103300152t_unit > product_unit ).

thf(func_def_138,type,
    sK18: ( rObjec1617416918on_j_k > $o ) > product_unit ).

thf(func_def_139,type,
    sK19: ( rObjec1617416918on_j_k > $o ) > rDocum326988203on_j_k ).

thf(func_def_140,type,
    sK20: ( rObjec103300152t_unit > $o ) > product_unit ).

thf(func_def_141,type,
    sK21: ( rObjec103300152t_unit > $o ) > product_unit ).

thf(func_def_142,type,
    sK22: rObjec1617416918on_j_k > product_unit ).

thf(func_def_143,type,
    sK23: rObjec1617416918on_j_k > rDocum326988203on_j_k ).

thf(func_def_144,type,
    sK24: rObjec103300152t_unit > product_unit ).

thf(func_def_145,type,
    sK25: rObjec103300152t_unit > product_unit ).

thf(func_def_146,type,
    sK26: ( rDocum326988203on_j_k > $o ) > product_unit ).

thf(func_def_147,type,
    sK27: ( rDocum326988203on_j_k > $o ) > list_char ).

thf(func_def_148,type,
    sK28: ( rDocum326988203on_j_k > $o ) > option_element_ptr_a ).

thf(func_def_149,type,
    sK29: ( rDocum326988203on_j_k > $o ) > list_n282880152tr_b_c ).

thf(func_def_150,type,
    sK30: ( rDocum326988203on_j_k > $o ) > option2026120038on_j_k ).

thf(func_def_151,type,
    sK31: nat > nat ).

thf(func_def_152,type,
    sK32: ( nat > $o ) > nat ).

thf(func_def_153,type,
    sK33: nat > nat ).

thf(func_def_154,type,
    sK34: ( nat > $o ) > nat ).

thf(func_def_155,type,
    sK35: ( nat > nat > $o ) > nat ).

thf(func_def_156,type,
    sK36: ( nat > nat > $o ) > nat ).

thf(func_def_157,type,
    sK37: ( nat > nat > $o ) > nat ).

thf(func_def_158,type,
    sK38: ( nat > nat > $o ) > nat ).

thf(func_def_159,type,
    sK39: ( nat > $o ) > nat ).

thf(func_def_160,type,
    sK40: ( nat > $o ) > nat ).

thf(func_def_161,type,
    sK41: nat > nat ).

thf(func_def_162,type,
    sK42: ( option2026120038on_j_k > option2026120038on_j_k ) > ( option2026120038on_j_k > option2026120038on_j_k ) > option2026120038on_j_k > option2026120038on_j_k ).

thf(func_def_163,type,
    sK43: ( option2026120038on_j_k > option2026120038on_j_k ) > ( option2026120038on_j_k > option2026120038on_j_k ) > option2026120038on_j_k > option2026120038on_j_k ).

thf(func_def_164,type,
    sK44: ( list_char > list_char ) > ( list_char > list_char ) > list_char > list_char ).

thf(func_def_165,type,
    sK45: ( option_element_ptr_a > option_element_ptr_a ) > ( option_element_ptr_a > option_element_ptr_a ) > option_element_ptr_a > option_element_ptr_a ).

thf(func_def_166,type,
    sK46: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > list_n282880152tr_b_c > list_n282880152tr_b_c ).

thf(func_def_167,type,
    sK47: ( list_char > list_char ) > ( list_char > list_char ) > list_char > list_char ).

thf(func_def_168,type,
    sK48: ( option_element_ptr_a > option_element_ptr_a ) > ( option_element_ptr_a > option_element_ptr_a ) > option_element_ptr_a > option_element_ptr_a ).

thf(func_def_169,type,
    sK49: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > list_n282880152tr_b_c > list_n282880152tr_b_c ).

thf(func_def_170,type,
    sK50: ( product_unit > product_unit ) > ( product_unit > product_unit ) > product_unit > product_unit ).

thf(func_def_171,type,
    sK51: ( product_unit > product_unit ) > ( product_unit > product_unit ) > product_unit > product_unit ).

thf(func_def_172,type,
    sK52: nat > list_n282880152tr_b_c ).

thf(func_def_173,type,
    sK53: nat > list_char ).

thf(func_def_174,type,
    sK54: ( docume1935157360tr_d_e > $o ) > sum_su1576157353tr_d_e ).

thf(func_def_175,type,
    sK55: ( docume1935157360tr_d_e > $o ) > nat ).

thf(func_def_176,type,
    sK56: docume1935157360tr_d_e > sum_su1576157353tr_d_e ).

thf(func_def_177,type,
    sK57: docume1935157360tr_d_e > nat ).

thf(func_def_178,type,
    sK58: ( nat > nat > $o ) > nat ).

thf(func_def_179,type,
    sK59: ( nat > nat > $o ) > nat ).

thf(func_def_180,type,
    sK60: ( nat > nat > $o ) > nat ).

thf(func_def_181,type,
    sK61: ( nat > nat > $o ) > nat ).

thf(func_def_182,type,
    sK62: ( nat > nat > $o ) > nat ).

thf(func_def_183,type,
    sK63: option_element_ptr_a > element_ptr_a ).

thf(func_def_184,type,
    sK64: option2026120038on_j_k > sum_su1221287958on_j_k ).

thf(func_def_185,type,
    sK65: ( option_element_ptr_a > $o ) > element_ptr_a ).

thf(func_def_186,type,
    sK66: ( option2026120038on_j_k > $o ) > sum_su1221287958on_j_k ).

thf(func_def_187,type,
    sK67: ( option_element_ptr_a > option_element_ptr_a > $o ) > option_element_ptr_a > option_element_ptr_a > element_ptr_a ).

thf(func_def_188,type,
    sK68: ( option_element_ptr_a > option_element_ptr_a > $o ) > option_element_ptr_a > option_element_ptr_a > element_ptr_a ).

thf(func_def_189,type,
    sK69: ( option_element_ptr_a > option2026120038on_j_k > $o ) > option_element_ptr_a > option2026120038on_j_k > element_ptr_a ).

thf(func_def_190,type,
    sK70: ( option_element_ptr_a > option2026120038on_j_k > $o ) > option_element_ptr_a > option2026120038on_j_k > sum_su1221287958on_j_k ).

thf(func_def_191,type,
    sK71: ( option2026120038on_j_k > option_element_ptr_a > $o ) > option2026120038on_j_k > option_element_ptr_a > sum_su1221287958on_j_k ).

thf(func_def_192,type,
    sK72: ( option2026120038on_j_k > option_element_ptr_a > $o ) > option2026120038on_j_k > option_element_ptr_a > element_ptr_a ).

thf(func_def_193,type,
    sK73: ( option2026120038on_j_k > option2026120038on_j_k > $o ) > option2026120038on_j_k > option2026120038on_j_k > sum_su1221287958on_j_k ).

thf(func_def_194,type,
    sK74: ( option2026120038on_j_k > option2026120038on_j_k > $o ) > option2026120038on_j_k > option2026120038on_j_k > sum_su1221287958on_j_k ).

thf(func_def_195,type,
    sK75: list_list_char > char ).

thf(func_def_196,type,
    sK76: list_list_char > list_char ).

thf(func_def_197,type,
    sK77: list_list_char > list_list_char ).

thf(func_def_198,type,
    sK78: list_list_char > list_list_char ).

thf(func_def_199,type,
    sK79: list_l118626078tr_b_c > node_p1234578834tr_b_c ).

thf(func_def_200,type,
    sK80: list_l118626078tr_b_c > list_n282880152tr_b_c ).

thf(func_def_201,type,
    sK81: list_l118626078tr_b_c > list_l118626078tr_b_c ).

thf(func_def_202,type,
    sK82: list_l118626078tr_b_c > list_l118626078tr_b_c ).

thf(func_def_203,type,
    sK83: list_char > char ).

thf(func_def_204,type,
    sK84: list_char > list_char ).

thf(func_def_205,type,
    sK85: list_n282880152tr_b_c > node_p1234578834tr_b_c ).

thf(func_def_206,type,
    sK86: list_n282880152tr_b_c > list_n282880152tr_b_c ).

thf(func_def_207,type,
    sK87: ( list_char > $o ) > char ).

thf(func_def_208,type,
    sK88: ( list_char > $o ) > list_char ).

thf(func_def_209,type,
    sK89: ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_210,type,
    sK90: ( list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_211,type,
    sK91: ( list_char > list_char > $o ) > char ).

thf(func_def_212,type,
    sK92: ( list_char > list_char > $o ) > list_char ).

thf(func_def_213,type,
    sK93: ( list_char > list_char > $o ) > char ).

thf(func_def_214,type,
    sK94: ( list_char > list_char > $o ) > list_char ).

thf(func_def_215,type,
    sK95: ( list_char > list_char > $o ) > char ).

thf(func_def_216,type,
    sK96: ( list_char > list_char > $o ) > list_char ).

thf(func_def_217,type,
    sK97: ( list_char > list_char > $o ) > char ).

thf(func_def_218,type,
    sK98: ( list_char > list_char > $o ) > list_char ).

thf(func_def_219,type,
    sK99: ( list_char > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_220,type,
    sK100: ( list_char > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_221,type,
    sK101: ( list_char > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_222,type,
    sK102: ( list_char > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_223,type,
    sK103: ( list_char > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_224,type,
    sK104: ( list_char > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_225,type,
    sK105: ( list_char > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_226,type,
    sK106: ( list_char > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_227,type,
    sK107: ( list_n282880152tr_b_c > list_char > $o ) > node_p1234578834tr_b_c ).

thf(func_def_228,type,
    sK108: ( list_n282880152tr_b_c > list_char > $o ) > list_n282880152tr_b_c ).

thf(func_def_229,type,
    sK109: ( list_n282880152tr_b_c > list_char > $o ) > char ).

thf(func_def_230,type,
    sK110: ( list_n282880152tr_b_c > list_char > $o ) > list_char ).

thf(func_def_231,type,
    sK111: ( list_n282880152tr_b_c > list_char > $o ) > char ).

thf(func_def_232,type,
    sK112: ( list_n282880152tr_b_c > list_char > $o ) > list_char ).

thf(func_def_233,type,
    sK113: ( list_n282880152tr_b_c > list_char > $o ) > node_p1234578834tr_b_c ).

thf(func_def_234,type,
    sK114: ( list_n282880152tr_b_c > list_char > $o ) > list_n282880152tr_b_c ).

thf(func_def_235,type,
    sK115: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_236,type,
    sK116: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_237,type,
    sK117: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_238,type,
    sK118: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_239,type,
    sK119: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_240,type,
    sK120: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_241,type,
    sK121: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_242,type,
    sK122: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_243,type,
    sK123: ( list_char > list_char > $o ) > char ).

thf(func_def_244,type,
    sK124: ( list_char > list_char > $o ) > list_char ).

thf(func_def_245,type,
    sK125: ( list_char > list_char > $o ) > list_char ).

thf(func_def_246,type,
    sK126: ( list_char > list_char > $o ) > list_char ).

thf(func_def_247,type,
    sK127: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_248,type,
    sK128: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_249,type,
    sK129: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_250,type,
    sK130: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_251,type,
    sK131: ( list_char > $o ) > char ).

thf(func_def_252,type,
    sK132: ( list_char > $o ) > char ).

thf(func_def_253,type,
    sK133: ( list_char > $o ) > list_char ).

thf(func_def_254,type,
    sK134: ( list_char > $o ) > char ).

thf(func_def_255,type,
    sK135: ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_256,type,
    sK136: ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_257,type,
    sK137: ( list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_258,type,
    sK138: ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_259,type,
    sK139: ( list_char > list_char > $o ) > char ).

thf(func_def_260,type,
    sK140: ( list_char > list_char > $o ) > list_char ).

thf(func_def_261,type,
    sK141: ( list_char > list_char > $o ) > char ).

thf(func_def_262,type,
    sK142: ( list_char > list_char > $o ) > list_char ).

thf(func_def_263,type,
    sK143: ( list_char > list_char > $o ) > list_char ).

thf(func_def_264,type,
    sK144: ( list_char > list_char > $o ) > list_char ).

thf(func_def_265,type,
    sK145: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_266,type,
    sK146: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_267,type,
    sK147: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_268,type,
    sK148: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_269,type,
    sK149: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_270,type,
    sK150: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_271,type,
    sK151: list_char > char ).

thf(func_def_272,type,
    sK152: list_char > char ).

thf(func_def_273,type,
    sK153: list_char > list_char ).

thf(func_def_274,type,
    sK154: list_char > char ).

thf(func_def_275,type,
    sK155: list_n282880152tr_b_c > node_p1234578834tr_b_c ).

thf(func_def_276,type,
    sK156: list_n282880152tr_b_c > node_p1234578834tr_b_c ).

thf(func_def_277,type,
    sK157: list_n282880152tr_b_c > list_n282880152tr_b_c ).

thf(func_def_278,type,
    sK158: list_n282880152tr_b_c > node_p1234578834tr_b_c ).

thf(func_def_279,type,
    sK159: ( ( char > char > $o ) > list_char > $o ) > char > char > $o ).

thf(func_def_280,type,
    sK160: ( ( char > char > $o ) > list_char > $o ) > char ).

thf(func_def_281,type,
    sK161: ( ( char > char > $o ) > list_char > $o ) > list_char ).

thf(func_def_282,type,
    sK162: ( ( char > char > $o ) > list_char > $o ) > char > char > $o ).

thf(func_def_283,type,
    sK163: ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ).

thf(func_def_284,type,
    sK164: ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_285,type,
    sK165: ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_286,type,
    sK166: ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ).

thf(func_def_287,type,
    sK167: ( list_char > $o ) > char ).

thf(func_def_288,type,
    sK168: ( list_char > $o ) > char ).

thf(func_def_289,type,
    sK169: ( list_char > $o ) > list_char ).

thf(func_def_290,type,
    sK170: ( list_char > $o ) > char ).

thf(func_def_291,type,
    sK171: ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_292,type,
    sK172: ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_293,type,
    sK173: ( list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_294,type,
    sK174: ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_295,type,
    sK175: ( ( char > char > $o ) > list_char > $o ) > char > char > $o ).

thf(func_def_296,type,
    sK176: ( ( char > char > $o ) > list_char > $o ) > char ).

thf(func_def_297,type,
    sK177: ( ( char > char > $o ) > list_char > $o ) > char ).

thf(func_def_298,type,
    sK178: ( ( char > char > $o ) > list_char > $o ) > list_char ).

thf(func_def_299,type,
    sK179: ( ( char > char > $o ) > list_char > $o ) > char > char > $o ).

thf(func_def_300,type,
    sK180: ( ( char > char > $o ) > list_char > $o ) > char ).

thf(func_def_301,type,
    sK181: ( ( char > char > $o ) > list_char > $o ) > char > char > $o ).

thf(func_def_302,type,
    sK182: ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ).

thf(func_def_303,type,
    sK183: ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_304,type,
    sK184: ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_305,type,
    sK185: ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_306,type,
    sK186: ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ).

thf(func_def_307,type,
    sK187: ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_308,type,
    sK188: ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ).

thf(func_def_309,type,
    sK189: ( list_char > $o ) > char ).

thf(func_def_310,type,
    sK190: ( list_char > $o ) > list_char ).

thf(func_def_311,type,
    sK191: ( list_char > $o ) > char ).

thf(func_def_312,type,
    sK192: ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_313,type,
    sK193: ( list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_314,type,
    sK194: ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_315,type,
    sK195: ( list_char > list_char > list_char > list_char > $o ) > char ).

thf(func_def_316,type,
    sK196: ( list_char > list_char > list_char > list_char > $o ) > list_char ).

thf(func_def_317,type,
    sK197: ( list_char > list_char > list_char > list_char > $o ) > char ).

thf(func_def_318,type,
    sK198: ( list_char > list_char > list_char > list_char > $o ) > list_char ).

thf(func_def_319,type,
    sK199: ( list_char > list_char > list_char > list_char > $o ) > char ).

thf(func_def_320,type,
    sK200: ( list_char > list_char > list_char > list_char > $o ) > list_char ).

thf(func_def_321,type,
    sK201: ( list_char > list_char > list_char > list_char > $o ) > char ).

thf(func_def_322,type,
    sK202: ( list_char > list_char > list_char > list_char > $o ) > list_char ).

thf(func_def_323,type,
    sK203: ( list_char > list_char > list_char > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_324,type,
    sK204: ( list_char > list_char > list_char > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_325,type,
    sK205: ( list_char > list_char > list_char > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_326,type,
    sK206: ( list_char > list_char > list_char > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_327,type,
    sK207: ( list_char > list_char > list_char > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_328,type,
    sK208: ( list_char > list_char > list_char > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_329,type,
    sK209: ( list_char > list_char > list_char > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_330,type,
    sK210: ( list_char > list_char > list_char > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_331,type,
    sK211: ( list_char > list_char > list_n282880152tr_b_c > list_char > $o ) > char ).

thf(func_def_332,type,
    sK212: ( list_char > list_char > list_n282880152tr_b_c > list_char > $o ) > list_char ).

thf(func_def_333,type,
    sK213: ( list_char > list_char > list_n282880152tr_b_c > list_char > $o ) > char ).

thf(func_def_334,type,
    sK214: ( list_char > list_char > list_n282880152tr_b_c > list_char > $o ) > list_char ).

thf(func_def_335,type,
    sK215: ( list_char > list_char > list_n282880152tr_b_c > list_char > $o ) > node_p1234578834tr_b_c ).

thf(func_def_336,type,
    sK216: ( list_char > list_char > list_n282880152tr_b_c > list_char > $o ) > list_n282880152tr_b_c ).

thf(func_def_337,type,
    sK217: ( list_char > list_char > list_n282880152tr_b_c > list_char > $o ) > char ).

thf(func_def_338,type,
    sK218: ( list_char > list_char > list_n282880152tr_b_c > list_char > $o ) > list_char ).

thf(func_def_339,type,
    sK219: ( list_char > list_n282880152tr_b_c > list_char > list_char > $o ) > char ).

thf(func_def_340,type,
    sK220: ( list_char > list_n282880152tr_b_c > list_char > list_char > $o ) > list_char ).

thf(func_def_341,type,
    sK221: ( list_char > list_n282880152tr_b_c > list_char > list_char > $o ) > node_p1234578834tr_b_c ).

thf(func_def_342,type,
    sK222: ( list_char > list_n282880152tr_b_c > list_char > list_char > $o ) > list_n282880152tr_b_c ).

thf(func_def_343,type,
    sK223: ( list_char > list_n282880152tr_b_c > list_char > list_char > $o ) > char ).

thf(func_def_344,type,
    sK224: ( list_char > list_n282880152tr_b_c > list_char > list_char > $o ) > list_char ).

thf(func_def_345,type,
    sK225: ( list_char > list_n282880152tr_b_c > list_char > list_char > $o ) > char ).

thf(func_def_346,type,
    sK226: ( list_char > list_n282880152tr_b_c > list_char > list_char > $o ) > list_char ).

thf(func_def_347,type,
    sK227: ( list_n282880152tr_b_c > list_char > list_char > list_char > $o ) > node_p1234578834tr_b_c ).

thf(func_def_348,type,
    sK228: ( list_n282880152tr_b_c > list_char > list_char > list_char > $o ) > list_n282880152tr_b_c ).

thf(func_def_349,type,
    sK229: ( list_n282880152tr_b_c > list_char > list_char > list_char > $o ) > char ).

thf(func_def_350,type,
    sK230: ( list_n282880152tr_b_c > list_char > list_char > list_char > $o ) > list_char ).

thf(func_def_351,type,
    sK231: ( list_n282880152tr_b_c > list_char > list_char > list_char > $o ) > char ).

thf(func_def_352,type,
    sK232: ( list_n282880152tr_b_c > list_char > list_char > list_char > $o ) > list_char ).

thf(func_def_353,type,
    sK233: ( list_n282880152tr_b_c > list_char > list_char > list_char > $o ) > char ).

thf(func_def_354,type,
    sK234: ( list_n282880152tr_b_c > list_char > list_char > list_char > $o ) > list_char ).

thf(func_def_355,type,
    sK235: ( list_char > list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_356,type,
    sK236: ( list_char > list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_357,type,
    sK237: ( list_char > list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_358,type,
    sK238: ( list_char > list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_359,type,
    sK239: ( list_char > list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_360,type,
    sK240: ( list_char > list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_361,type,
    sK241: ( list_char > list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_362,type,
    sK242: ( list_char > list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_363,type,
    sK243: ( list_char > list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_364,type,
    sK244: ( list_char > list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_365,type,
    sK245: ( list_char > list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_366,type,
    sK246: ( list_char > list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_367,type,
    sK247: ( list_char > list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_368,type,
    sK248: ( list_char > list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_369,type,
    sK249: ( list_char > list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_370,type,
    sK250: ( list_char > list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_371,type,
    sK251: ( list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > list_char > $o ) > char ).

thf(func_def_372,type,
    sK252: ( list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > list_char > $o ) > list_char ).

thf(func_def_373,type,
    sK253: ( list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > list_char > $o ) > node_p1234578834tr_b_c ).

thf(func_def_374,type,
    sK254: ( list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > list_char > $o ) > list_n282880152tr_b_c ).

thf(func_def_375,type,
    sK255: ( list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > list_char > $o ) > node_p1234578834tr_b_c ).

thf(func_def_376,type,
    sK256: ( list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > list_char > $o ) > list_n282880152tr_b_c ).

thf(func_def_377,type,
    sK257: ( list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > list_char > $o ) > char ).

thf(func_def_378,type,
    sK258: ( list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > list_char > $o ) > list_char ).

thf(func_def_379,type,
    sK259: ( list_n282880152tr_b_c > list_char > list_char > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_380,type,
    sK260: ( list_n282880152tr_b_c > list_char > list_char > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_381,type,
    sK261: ( list_n282880152tr_b_c > list_char > list_char > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_382,type,
    sK262: ( list_n282880152tr_b_c > list_char > list_char > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_383,type,
    sK263: ( list_n282880152tr_b_c > list_char > list_char > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_384,type,
    sK264: ( list_n282880152tr_b_c > list_char > list_char > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_385,type,
    sK265: ( list_n282880152tr_b_c > list_char > list_char > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_386,type,
    sK266: ( list_n282880152tr_b_c > list_char > list_char > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_387,type,
    sK267: ( list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > list_char > $o ) > node_p1234578834tr_b_c ).

thf(func_def_388,type,
    sK268: ( list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > list_char > $o ) > list_n282880152tr_b_c ).

thf(func_def_389,type,
    sK269: ( list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > list_char > $o ) > char ).

thf(func_def_390,type,
    sK270: ( list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > list_char > $o ) > list_char ).

thf(func_def_391,type,
    sK271: ( list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > list_char > $o ) > node_p1234578834tr_b_c ).

thf(func_def_392,type,
    sK272: ( list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > list_char > $o ) > list_n282880152tr_b_c ).

thf(func_def_393,type,
    sK273: ( list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > list_char > $o ) > char ).

thf(func_def_394,type,
    sK274: ( list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > list_char > $o ) > list_char ).

thf(func_def_395,type,
    sK275: ( list_char > list_char > list_char > $o ) > char ).

thf(func_def_396,type,
    sK276: ( list_char > list_char > list_char > $o ) > list_char ).

thf(func_def_397,type,
    sK277: ( list_char > list_char > list_char > $o ) > char ).

thf(func_def_398,type,
    sK278: ( list_char > list_char > list_char > $o ) > list_char ).

thf(func_def_399,type,
    sK279: ( list_char > list_char > list_char > $o ) > char ).

thf(func_def_400,type,
    sK280: ( list_char > list_char > list_char > $o ) > list_char ).

thf(func_def_401,type,
    sK281: ( list_char > list_char > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_402,type,
    sK282: ( list_char > list_char > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_403,type,
    sK283: ( list_char > list_char > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_404,type,
    sK284: ( list_char > list_char > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_405,type,
    sK285: ( list_char > list_char > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_406,type,
    sK286: ( list_char > list_char > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_407,type,
    sK287: ( list_char > list_n282880152tr_b_c > list_char > $o ) > char ).

thf(func_def_408,type,
    sK288: ( list_char > list_n282880152tr_b_c > list_char > $o ) > list_char ).

thf(func_def_409,type,
    sK289: ( list_char > list_n282880152tr_b_c > list_char > $o ) > node_p1234578834tr_b_c ).

thf(func_def_410,type,
    sK290: ( list_char > list_n282880152tr_b_c > list_char > $o ) > list_n282880152tr_b_c ).

thf(func_def_411,type,
    sK291: ( list_char > list_n282880152tr_b_c > list_char > $o ) > char ).

thf(func_def_412,type,
    sK292: ( list_char > list_n282880152tr_b_c > list_char > $o ) > list_char ).

thf(func_def_413,type,
    sK293: ( list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_414,type,
    sK294: ( list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_415,type,
    sK295: ( list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_416,type,
    sK296: ( list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_417,type,
    sK297: ( list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_418,type,
    sK298: ( list_char > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_419,type,
    sK299: ( list_n282880152tr_b_c > list_char > list_char > $o ) > node_p1234578834tr_b_c ).

thf(func_def_420,type,
    sK300: ( list_n282880152tr_b_c > list_char > list_char > $o ) > list_n282880152tr_b_c ).

thf(func_def_421,type,
    sK301: ( list_n282880152tr_b_c > list_char > list_char > $o ) > char ).

thf(func_def_422,type,
    sK302: ( list_n282880152tr_b_c > list_char > list_char > $o ) > list_char ).

thf(func_def_423,type,
    sK303: ( list_n282880152tr_b_c > list_char > list_char > $o ) > char ).

thf(func_def_424,type,
    sK304: ( list_n282880152tr_b_c > list_char > list_char > $o ) > list_char ).

thf(func_def_425,type,
    sK305: ( list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_426,type,
    sK306: ( list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_427,type,
    sK307: ( list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_428,type,
    sK308: ( list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_429,type,
    sK309: ( list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_430,type,
    sK310: ( list_n282880152tr_b_c > list_char > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_431,type,
    sK311: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_char > $o ) > node_p1234578834tr_b_c ).

thf(func_def_432,type,
    sK312: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_char > $o ) > list_n282880152tr_b_c ).

thf(func_def_433,type,
    sK313: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_char > $o ) > node_p1234578834tr_b_c ).

thf(func_def_434,type,
    sK314: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_char > $o ) > list_n282880152tr_b_c ).

thf(func_def_435,type,
    sK315: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_char > $o ) > char ).

thf(func_def_436,type,
    sK316: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_char > $o ) > list_char ).

thf(func_def_437,type,
    sK317: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_438,type,
    sK318: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_439,type,
    sK319: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_440,type,
    sK320: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_441,type,
    sK321: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_442,type,
    sK322: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_443,type,
    sK323: ( list_char > list_char > $o ) > char ).

thf(func_def_444,type,
    sK324: ( list_char > list_char > $o ) > list_char ).

thf(func_def_445,type,
    sK325: ( list_char > list_char > $o ) > char ).

thf(func_def_446,type,
    sK326: ( list_char > list_char > $o ) > list_char ).

thf(func_def_447,type,
    sK327: ( list_char > list_n282880152tr_b_c > $o ) > char ).

thf(func_def_448,type,
    sK328: ( list_char > list_n282880152tr_b_c > $o ) > list_char ).

thf(func_def_449,type,
    sK329: ( list_char > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_450,type,
    sK330: ( list_char > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_451,type,
    sK331: ( list_n282880152tr_b_c > list_char > $o ) > node_p1234578834tr_b_c ).

thf(func_def_452,type,
    sK332: ( list_n282880152tr_b_c > list_char > $o ) > list_n282880152tr_b_c ).

thf(func_def_453,type,
    sK333: ( list_n282880152tr_b_c > list_char > $o ) > char ).

thf(func_def_454,type,
    sK334: ( list_n282880152tr_b_c > list_char > $o ) > list_char ).

thf(func_def_455,type,
    sK335: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_456,type,
    sK336: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_457,type,
    sK337: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_458,type,
    sK338: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_459,type,
    sK339: list_char > list_char > list_char > char ).

thf(func_def_460,type,
    sK340: list_char > list_char > list_char > list_char ).

thf(func_def_461,type,
    sK341: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c ).

thf(func_def_462,type,
    sK342: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).

thf(func_def_463,type,
    sK343: ( list_char > $o ) > char ).

thf(func_def_464,type,
    sK344: ( list_char > $o ) > list_char ).

thf(func_def_465,type,
    sK345: ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_466,type,
    sK346: ( list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_467,type,
    sK347: list_char > list_char ).

thf(func_def_468,type,
    sK348: list_char > char ).

thf(func_def_469,type,
    sK349: list_n282880152tr_b_c > list_n282880152tr_b_c ).

thf(func_def_470,type,
    sK350: list_n282880152tr_b_c > node_p1234578834tr_b_c ).

thf(func_def_471,type,
    sK351: ( list_char > $o ) > char ).

thf(func_def_472,type,
    sK352: ( list_char > $o ) > list_char ).

thf(func_def_473,type,
    sK353: ( list_char > $o ) > char ).

thf(func_def_474,type,
    sK354: ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_475,type,
    sK355: ( list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).

thf(func_def_476,type,
    sK356: ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).

thf(func_def_477,type,
    sK357: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c ).

thf(func_def_478,type,
    sK358: list_char > list_char > list_char > char > list_char ).

thf(func_def_479,type,
    sK359: list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).

thf(func_def_480,type,
    sK360: list_char > list_char > char > list_char > list_char ).

thf(func_def_481,type,
    sK361: option2026120038on_j_k > ( option2026120038on_j_k > $o ) > ( sum_su1221287958on_j_k > option2026120038on_j_k ) > sum_su1221287958on_j_k ).

thf(func_def_482,type,
    sK362: option2026120038on_j_k > ( option_element_ptr_a > $o ) > ( sum_su1221287958on_j_k > option_element_ptr_a ) > sum_su1221287958on_j_k ).

thf(func_def_483,type,
    sK363: option_element_ptr_a > ( option2026120038on_j_k > $o ) > ( element_ptr_a > option2026120038on_j_k ) > element_ptr_a ).

thf(func_def_484,type,
    sK364: option_element_ptr_a > ( option_element_ptr_a > $o ) > ( element_ptr_a > option_element_ptr_a ) > element_ptr_a ).

thf(func_def_485,type,
    sK365: option2026120038on_j_k > ( option2026120038on_j_k > $o ) > ( sum_su1221287958on_j_k > option2026120038on_j_k ) > sum_su1221287958on_j_k ).

thf(func_def_486,type,
    sK366: option2026120038on_j_k > ( option_element_ptr_a > $o ) > ( sum_su1221287958on_j_k > option_element_ptr_a ) > sum_su1221287958on_j_k ).

thf(func_def_487,type,
    sK367: option_element_ptr_a > ( option2026120038on_j_k > $o ) > ( element_ptr_a > option2026120038on_j_k ) > element_ptr_a ).

thf(func_def_488,type,
    sK368: option_element_ptr_a > ( option_element_ptr_a > $o ) > ( element_ptr_a > option_element_ptr_a ) > element_ptr_a ).

thf(func_def_489,type,
    sK369: list_n282880152tr_b_c > list_n282880152tr_b_c ).

thf(func_def_490,type,
    sK370: list_n282880152tr_b_c > node_p1234578834tr_b_c ).

thf(func_def_491,type,
    sK371: list_char > list_char ).

thf(func_def_492,type,
    sK372: list_char > char ).

thf(func_def_493,type,
    sK373: option2026120038on_j_k > sum_su1221287958on_j_k ).

thf(func_def_494,type,
    sK374: option_element_ptr_a > element_ptr_a ).

thf(func_def_495,type,
    sK375: option1749760295_j_k_l > rObjec1413572695_j_k_l ).

thf(func_def_496,type,
    sK376: option1330818496tr_d_e > docume1935157360tr_d_e ).

thf(func_def_497,type,
    sK377: option841825948on_j_k > rObjec1617416918on_j_k ).

thf(func_def_498,type,
    sK378: option2026120038on_j_k > sum_su1221287958on_j_k ).

thf(func_def_499,type,
    sK379: option_element_ptr_a > element_ptr_a ).

thf(func_def_500,type,
    sK380: option1749760295_j_k_l > rObjec1413572695_j_k_l ).

thf(func_def_501,type,
    sK381: option1330818496tr_d_e > docume1935157360tr_d_e ).

thf(func_def_502,type,
    sK382: option841825948on_j_k > rObjec1617416918on_j_k ).

thf(func_def_503,type,
    sK383: rObjec1413572695_j_k_l > rObjec1617416918on_j_k ).

thf(f116,axiom,
    ( is_doc1417632087_j_k_l
    = ( ^ [X0: rObjec1413572695_j_k_l] :
          ( ( cast_O1034441233_j_k_l @ X0 )
         != none_R1587534007on_j_k ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_is__document__kind__def) ).

thf(f179,axiom,
    ! [X0: rObjec1617416918on_j_k] :
      ( ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ X0 ) )
      = ( some_R67702331on_j_k @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_178_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__inv) ).

thf(f181,axiom,
    ! [X0: rObjec1617416918on_j_k] :
      ( none_R1587534007on_j_k
     != ( some_R67702331on_j_k @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_option_Odistinct_I1_J) ).

thf(f343,conjecture,
    is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).

thf(f344,negated_conjecture,
    ~ ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f343]) ).

thf(f395,plain,
    ( is_doc1417632087_j_k_l
    = ( ^ [Y0: rObjec1413572695_j_k_l] :
          ( none_R1587534007on_j_k
         != ( cast_O1034441233_j_k_l @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f116]) ).

thf(f586,plain,
    ~ ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ),
    inference(rectify,[],[f344]) ).

thf(f587,plain,
    ( ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) )
   != $true ),
    inference(fool_elimination,[],[f586]) ).

thf(f599,plain,
    ( ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) )
   != $true ),
    inference(flattening,[],[f587]) ).

thf(f1079,plain,
    ( is_doc1417632087_j_k_l
    = ( ^ [Y0: rObjec1413572695_j_k_l] :
          ( none_R1587534007on_j_k
         != ( cast_O1034441233_j_k_l @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f395]) ).

thf(f1143,plain,
    ! [X0: rObjec1617416918on_j_k] :
      ( ( some_R67702331on_j_k @ X0 )
      = ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ X0 ) ) ),
    inference(cnf_transformation,[],[f179]) ).

thf(f1145,plain,
    ! [X0: rObjec1617416918on_j_k] :
      ( none_R1587534007on_j_k
     != ( some_R67702331on_j_k @ X0 ) ),
    inference(cnf_transformation,[],[f181]) ).

thf(f1449,plain,
    ( ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) )
   != $true ),
    inference(cnf_transformation,[],[f599]) ).

thf(f1456,plain,
    ( $true
   != ( ^ [Y0: rObjec1413572695_j_k_l] :
          ( none_R1587534007on_j_k
         != ( cast_O1034441233_j_k_l @ Y0 ) )
      @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ) ),
    inference(definition_unfolding,[],[f1449,f1079]) ).

thf(f1531,plain,
    ( $true
   != ( none_R1587534007on_j_k
     != ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f1456]) ).

thf(f1532,plain,
    ( $true
    = ( none_R1587534007on_j_k
      = ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f1531]) ).

thf(f1533,plain,
    ( none_R1587534007on_j_k
    = ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ) ),
    inference(equality_proxy_clausification,[],[f1532]) ).

thf(f2528,plain,
    ( none_R1587534007on_j_k
    = ( some_R67702331on_j_k @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ),
    inference(constrained_superposition,[],[f1533,f1143]) ).

thf(f2529,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2528,f1145]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP172^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n001.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Sep 29 20:11:36 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35  % (1751864)Will run a generic schedule for satisfiability detection.
% 0.21/0.35  % (1751875)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=785781078:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.35  % (1751870)% WARNING: option uhcvi not known.
% 0.21/0.35  % (1751870)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=162363287:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.35  % (1751869)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1597418551_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.35  % (1751871)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2960265943:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.35  % (1751872)dis+10_1_sil=32000:sp=arity:random_seed=4057072063:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.35  % (1751874)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2710717972:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.35  % (1751873)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1973546927:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.35  % (1751870)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.21/0.35  % (1751873)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.21/0.35  % (1751875)Instruction limit reached! 
% 0.21/0.35  % (1751875)------------------------------
% 0.21/0.35  % (1751875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35  % (1751875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35  % (1751875)CaDiCaL version: 2.1.3
% 0.21/0.35  % (1751875)Termination reason: Instruction limit
% 0.21/0.35  % (1751875)Termination phase: Saturation
% 0.21/0.35  % (1751875)Time elapsed: 0.038 s
% 0.21/0.35  % (1751875)Peak memory usage: 14 MB
% 0.21/0.35  % (1751875)Instructions burned: 159 (million)
% 0.21/0.35  % (1751883)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2953310031:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.35  % (1751872)Instruction limit reached! 
% 0.21/0.35  % (1751872)------------------------------
% 0.21/0.35  % (1751872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35  % (1751872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35  % (1751872)CaDiCaL version: 2.1.3
% 0.21/0.35  % (1751872)Termination reason: Instruction limit
% 0.21/0.35  % (1751872)Termination phase: Property scanning
% 0.21/0.35  % (1751872)Time elapsed: 0.044 s
% 0.21/0.35  % (1751872)Peak memory usage: 12 MB
% 0.21/0.35  % (1751872)Instructions burned: 105 (million)
% 0.21/0.35  % Exception at run slice level
% 0.21/0.35  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.35  % (1751870)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.21/0.35  % (1751873)Instruction limit reached! 
% 0.21/0.35  % (1751873)------------------------------
% 0.21/0.35  % (1751873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35  % (1751873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35  % (1751873)CaDiCaL version: 2.1.3
% 0.21/0.35  % (1751873)Termination reason: Instruction limit
% 0.21/0.35  % (1751873)Termination phase: Saturation
% 0.21/0.35  % (1751873)Time elapsed: 0.050 s
% 0.21/0.35  % (1751873)Peak memory usage: 13 MB
% 0.21/0.35  % (1751873)Instructions burned: 118 (million)
% 0.21/0.35  % (1751874)Instruction limit reached! 
% 0.21/0.35  % (1751874)------------------------------
% 0.21/0.35  % (1751874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35  % (1751874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35  % (1751874)CaDiCaL version: 2.1.3
% 0.21/0.35  % (1751874)Termination reason: Instruction limit
% 0.21/0.35  % (1751874)Termination phase: Saturation
% 0.21/0.35  % (1751874)Time elapsed: 0.056 s
% 0.21/0.35  % (1751874)Peak memory usage: 13 MB
% 0.21/0.35  % (1751874)Instructions burned: 131 (million)
% 0.21/0.35  % (1751885)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1049719607:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.35  % (1751886)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3259251764:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.21/0.35  % Exception at run slice level
% 0.21/0.35  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.35  % (1751887)ott-21_1_sil=16000:fs=off:random_seed=2801044070:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.21/0.35  % (1751870) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1751864-1751870"...
% 0.21/0.35  % (1751871) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1751864-1751871"...
% 0.21/0.35  % (1751870)...printing done.
% 0.21/0.35  % (1751888)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1014788168:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.21/0.35  % (1751871)...printing done.
% 0.21/0.35  % (1751891)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1859467250:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.21/0.35  % (1751870)Refutation found. Thanks to Tanya!
% 0.21/0.35  % SZS status Theorem for theBenchmark
% 0.21/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.35  % (1751870)------------------------------
% 0.21/0.35  % (1751870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35  % (1751870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35  % (1751870)CaDiCaL version: 2.1.3
% 0.21/0.35  % (1751870)Termination reason: Refutation
% 0.21/0.35  % (1751870)Time elapsed: 0.075 s
% 0.21/0.35  % (1751870)Peak memory usage: 14 MB
% 0.21/0.35  % (1751870)Instructions burned: 163 (million)
% 0.21/0.35  % (1751864)Success in time 0.124 s
% 0.21/0.35  % Vampire exiting
%------------------------------------------------------------------------------