TSTP Solution File: SWW474+3 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWW474+3 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n032.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 : Fri Sep  1 00:18:05 EDT 2023

% Result   : Theorem 0.13s 0.75s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  710
% Syntax   : Number of formulae    :  730 (  14 unt; 702 typ;   0 def)
%            Number of atoms       :   54 (   7 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   47 (  21   ~;  19   |;   0   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  970 ( 514   >; 456   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :  696 ( 696 usr; 188 con; 0-7 aty)
%            Number of variables   :   29 (   6 sgn;  14   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    wT_bodies: $i ).

tff(decl_23,type,
    is_bool: $i > $o ).

tff(decl_24,type,
    finite1653727294m_bool: $i > $i ).

tff(decl_25,type,
    finite2017903282e_bool: $i > $i ).

tff(decl_26,type,
    finite318301748l_bool: $i > $i ).

tff(decl_27,type,
    finite2036162504e_bool: $i > $i ).

tff(decl_28,type,
    finite367769966e_bool: $i > $i ).

tff(decl_29,type,
    finite1765632844e_bool: $i > $i ).

tff(decl_30,type,
    finite_finite_pname: $i ).

tff(decl_31,type,
    is_fun1661590463l_bool: $i > $o ).

tff(decl_32,type,
    finite860057415ne_com: ( $i * $i ) > $i ).

tff(decl_33,type,
    finite1282449217_pname: ( $i * $i ) > $i ).

tff(decl_34,type,
    finite683959609_state: ( $i * $i ) > $i ).

tff(decl_35,type,
    finite1626890877e_bool: ( $i * $i ) > $i ).

tff(decl_36,type,
    finite2009063477e_bool: ( $i * $i ) > $i ).

tff(decl_37,type,
    finite666746948em_com: ( $i * $i ) > $i ).

tff(decl_38,type,
    finite89670078_pname: ( $i * $i ) > $i ).

tff(decl_39,type,
    finite416071164_state: ( $i * $i ) > $i ).

tff(decl_40,type,
    finite1268145088e_bool: ( $i * $i ) > $i ).

tff(decl_41,type,
    finite688249778e_bool: ( $i * $i ) > $i ).

tff(decl_42,type,
    inj_on_pname_pname: $i > $i ).

tff(decl_43,type,
    inj_on621632009_state: $i > $i ).

tff(decl_44,type,
    inj_on737724108_pname: $i > $i ).

tff(decl_45,type,
    pname: $i ).

tff(decl_46,type,
    undefined_pname: $i > $i ).

tff(decl_47,type,
    is_pname: $i > $o ).

tff(decl_48,type,
    bool: $i ).

tff(decl_49,type,
    undefined_bool: $i > $i ).

tff(decl_50,type,
    fun: ( $i * $i ) > $i ).

tff(decl_51,type,
    undefi17486888e_bool: $i > $i ).

tff(decl_52,type,
    is_fun_pname_bool: $i > $o ).

tff(decl_53,type,
    undefi64961550l_bool: $i > $i ).

tff(decl_54,type,
    hoare_1795711768gleton: $i ).

tff(decl_55,type,
    dom_pname_com: $i > $i ).

tff(decl_56,type,
    dom_pname_pname: $i > $i ).

tff(decl_57,type,
    dom_pn480909800_state: $i > $i ).

tff(decl_58,type,
    is_none_com: $i > $i ).

tff(decl_59,type,
    is_option_pname: $i > $o ).

tff(decl_60,type,
    is_none_pname: $i > $i ).

tff(decl_61,type,
    is_non1379144176_state: $i > $i ).

tff(decl_62,type,
    none_pname: $i ).

tff(decl_63,type,
    set_pname: $i > $i ).

tff(decl_64,type,
    bot_bot_bool: $i ).

tff(decl_65,type,
    bot_bo844097828e_bool: $i ).

tff(decl_66,type,
    bot_bo1649642514l_bool: $i ).

tff(decl_67,type,
    top_to2127735616e_bool: $i ).

tff(decl_68,type,
    vimage1011814463_state: ( $i * $i ) > $i ).

tff(decl_69,type,
    fFalse: $i ).

tff(decl_70,type,
    fTrue: $i ).

tff(decl_71,type,
    hAPP_com_pname: ( $i * $i ) > $i ).

tff(decl_72,type,
    hAPP_com_bool: ( $i * $i ) > $i ).

tff(decl_73,type,
    hAPP_c1967741679e_bool: ( $i * $i ) > $i ).

tff(decl_74,type,
    hAPP_pname_pname: ( $i * $i ) > $i ).

tff(decl_75,type,
    hAPP_pname_bool: ( $i * $i ) > $i ).

tff(decl_76,type,
    hAPP_p1252095976_pname: ( $i * $i ) > $i ).

tff(decl_77,type,
    hAPP_p61793385e_bool: ( $i * $i ) > $i ).

tff(decl_78,type,
    hAPP_p338031245l_bool: ( $i * $i ) > $i ).

tff(decl_79,type,
    hAPP_state_bool: ( $i * $i ) > $i ).

tff(decl_80,type,
    hAPP_bool_bool: ( $i * $i ) > $i ).

tff(decl_81,type,
    hAPP_b76515610e_bool: ( $i * $i ) > $i ).

tff(decl_82,type,
    hAPP_b357632156l_bool: ( $i * $i ) > $i ).

tff(decl_83,type,
    hAPP_H1193503499_pname: ( $i * $i ) > $i ).

tff(decl_84,type,
    hAPP_H242767318e_bool: ( $i * $i ) > $i ).

tff(decl_85,type,
    hAPP_H1671063474_pname: ( $i * $i ) > $i ).

tff(decl_86,type,
    hAPP_H1776011827e_bool: ( $i * $i ) > $i ).

tff(decl_87,type,
    hAPP_H358531139l_bool: ( $i * $i ) > $i ).

tff(decl_88,type,
    hAPP_option_com_bool: ( $i * $i ) > $i ).

tff(decl_89,type,
    hAPP_o1092643708e_bool: ( $i * $i ) > $i ).

tff(decl_90,type,
    hAPP_o593586696_pname: ( $i * $i ) > $i ).

tff(decl_91,type,
    hAPP_f990396704l_bool: ( $i * $i ) > $i ).

tff(decl_92,type,
    hAPP_f1438183293e_bool: ( $i * $i ) > $i ).

tff(decl_93,type,
    hAPP_f1297739591_pname: ( $i * $i ) > $i ).

tff(decl_94,type,
    hAPP_f1664156314l_bool: ( $i * $i ) > $i ).

tff(decl_95,type,
    hAPP_f759274231e_bool: ( $i * $i ) > $i ).

tff(decl_96,type,
    hAPP_f434788991l_bool: ( $i * $i ) > $i ).

tff(decl_97,type,
    hAPP_f42430548e_bool: ( $i * $i ) > $i ).

tff(decl_98,type,
    hAPP_f327114704l_bool: ( $i * $i ) > $i ).

tff(decl_99,type,
    hAPP_f387058535l_bool: ( $i * $i ) > $i ).

tff(decl_100,type,
    hAPP_f88366945_pname: ( $i * $i ) > $i ).

tff(decl_101,type,
    hAPP_f1378282496l_bool: ( $i * $i ) > $i ).

tff(decl_102,type,
    hAPP_f1083669085e_bool: ( $i * $i ) > $i ).

tff(decl_103,type,
    hAPP_f1709493145l_bool: ( $i * $i ) > $i ).

tff(decl_104,type,
    hAPP_f1935102916l_bool: ( $i * $i ) > $i ).

tff(decl_105,type,
    hAPP_f674760225e_bool: ( $i * $i ) > $i ).

tff(decl_106,type,
    hAPP_f559147733l_bool: ( $i * $i ) > $i ).

tff(decl_107,type,
    hAPP_f1410040974l_bool: ( $i * $i ) > $i ).

tff(decl_108,type,
    hAPP_f306376939e_bool: ( $i * $i ) > $i ).

tff(decl_109,type,
    hAPP_f389811538l_bool: ( $i * $i ) > $i ).

tff(decl_110,type,
    hAPP_f1178960312l_bool: ( $i * $i ) > $i ).

tff(decl_111,type,
    pn: $i ).

tff(decl_112,type,
    hoare_512830354_state: $i > $i ).

tff(decl_113,type,
    bot_bo784226126e_bool: $i ).

tff(decl_114,type,
    hBOOL: $i > $o ).

tff(decl_115,type,
    ord_le1449778818e_bool: $i ).

tff(decl_116,type,
    hAPP_f849457489l_bool: ( $i * $i ) > $i ).

tff(decl_117,type,
    insert1744391420_state: $i ).

tff(decl_118,type,
    hAPP_H1902130436e_bool: ( $i * $i ) > $i ).

tff(decl_119,type,
    hAPP_f806699093e_bool: ( $i * $i ) > $i ).

tff(decl_120,type,
    hoare_Mirabelle_MGT: $i ).

tff(decl_121,type,
    body_1: $i ).

tff(decl_122,type,
    hAPP_pname_com: ( $i * $i ) > $i ).

tff(decl_123,type,
    hAPP_c1455475371_state: ( $i * $i ) > $i ).

tff(decl_124,type,
    the_com: $i ).

tff(decl_125,type,
    body: $i ).

tff(decl_126,type,
    hAPP_p799580910on_com: ( $i * $i ) > $i ).

tff(decl_127,type,
    hAPP_option_com_com: ( $i * $i ) > $i ).

tff(decl_128,type,
    finite595471783e_bool: $i ).

tff(decl_129,type,
    finite786885583l_bool: $i ).

tff(decl_130,type,
    collec1613912337l_bool: $i ).

tff(decl_131,type,
    cOMBC_7971162l_bool: $i ).

tff(decl_132,type,
    ord_le675606854l_bool: $i ).

tff(decl_133,type,
    hAPP_f1879335953l_bool: ( $i * $i ) > $i ).

tff(decl_134,type,
    hAPP_f510955609l_bool: ( $i * $i ) > $i ).

tff(decl_135,type,
    hAPP_f783502055l_bool: ( $i * $i ) > $i ).

tff(decl_136,type,
    finite627955595e_bool: $i ).

tff(decl_137,type,
    finite1203709595l_bool: $i ).

tff(decl_138,type,
    collec895295961l_bool: $i ).

tff(decl_139,type,
    cOMBC_991209188l_bool: $i ).

tff(decl_140,type,
    ord_le694194916l_bool: $i ).

tff(decl_141,type,
    hAPP_f1901243753l_bool: ( $i * $i ) > $i ).

tff(decl_142,type,
    hAPP_f1516997247l_bool: ( $i * $i ) > $i ).

tff(decl_143,type,
    hAPP_f347786453l_bool: ( $i * $i ) > $i ).

tff(decl_144,type,
    finite694102371_state: $i ).

tff(decl_145,type,
    collec1987918285e_bool: $i ).

tff(decl_146,type,
    cOMBC_1350613978l_bool: $i ).

tff(decl_147,type,
    hAPP_f1348212993l_bool: ( $i * $i ) > $i ).

tff(decl_148,type,
    hAPP_f734420447l_bool: ( $i * $i ) > $i ).

tff(decl_149,type,
    collec1974731493e_bool: $i ).

tff(decl_150,type,
    cOMBC_1284144636l_bool: $i ).

tff(decl_151,type,
    ord_le313189616e_bool: $i ).

tff(decl_152,type,
    hAPP_f1297925993l_bool: ( $i * $i ) > $i ).

tff(decl_153,type,
    image_1403607267e_bool: $i > $i ).

tff(decl_154,type,
    image_995511119e_bool: $i > $i ).

tff(decl_155,type,
    image_47868345e_bool: $i > $i ).

tff(decl_156,type,
    image_234387449e_bool: $i > $i ).

tff(decl_157,type,
    hAPP_f1492100075l_bool: ( $i * $i ) > $i ).

tff(decl_158,type,
    image_845802851_state: $i > $i ).

tff(decl_159,type,
    hAPP_f509793681e_bool: ( $i * $i ) > $i ).

tff(decl_160,type,
    image_1497401961_state: $i > $i ).

tff(decl_161,type,
    hAPP_f1216288071e_bool: ( $i * $i ) > $i ).

tff(decl_162,type,
    image_1283814551_pname: $i > $i ).

tff(decl_163,type,
    image_1863446033_pname: $i > $i ).

tff(decl_164,type,
    image_185131637_state: $i > $i ).

tff(decl_165,type,
    hAPP_f360545851e_bool: ( $i * $i ) > $i ).

tff(decl_166,type,
    ord_le1708315510m_bool: $i ).

tff(decl_167,type,
    bot_bot_fun_com_bool: $i ).

tff(decl_168,type,
    hAPP_f273696895l_bool: ( $i * $i ) > $i ).

tff(decl_169,type,
    finite_finite_com: $i ).

tff(decl_170,type,
    insert_com: $i ).

tff(decl_171,type,
    hAPP_c566651504m_bool: ( $i * $i ) > $i ).

tff(decl_172,type,
    hAPP_f1682609283m_bool: ( $i * $i ) > $i ).

tff(decl_173,type,
    insert1325755072e_bool: $i ).

tff(decl_174,type,
    hAPP_f1320879424l_bool: ( $i * $i ) > $i ).

tff(decl_175,type,
    insert1720618162e_bool: $i ).

tff(decl_176,type,
    hAPP_f1472090462l_bool: ( $i * $i ) > $i ).

tff(decl_177,type,
    insert_pname: $i ).

tff(decl_178,type,
    hAPP_p905327722e_bool: ( $i * $i ) > $i ).

tff(decl_179,type,
    bot_bo942947096l_bool: $i ).

tff(decl_180,type,
    cOMBS_350070575l_bool: $i ).

tff(decl_181,type,
    fconj: $i ).

tff(decl_182,type,
    cOMBB_2095475776e_bool: $i > $i ).

tff(decl_183,type,
    hAPP_f143162813l_bool: ( $i * $i ) > $i ).

tff(decl_184,type,
    hAPP_f624840228l_bool: ( $i * $i ) > $i ).

tff(decl_185,type,
    cOMBS_1162100051l_bool: $i ).

tff(decl_186,type,
    cOMBB_1749019442e_bool: $i > $i ).

tff(decl_187,type,
    hAPP_f118042163l_bool: ( $i * $i ) > $i ).

tff(decl_188,type,
    hAPP_f524831474l_bool: ( $i * $i ) > $i ).

tff(decl_189,type,
    collec637225377_state: $i ).

tff(decl_190,type,
    cOMBS_865875691l_bool: $i ).

tff(decl_191,type,
    cOMBB_1291456124_state: $i > $i ).

tff(decl_192,type,
    hAPP_f832587837l_bool: ( $i * $i ) > $i ).

tff(decl_193,type,
    hAPP_f1702629984e_bool: ( $i * $i ) > $i ).

tff(decl_194,type,
    collect_pname: $i ).

tff(decl_195,type,
    cOMBS_568398431l_bool: $i ).

tff(decl_196,type,
    cOMBB_675860798_pname: $i > $i ).

tff(decl_197,type,
    hAPP_f1402196763l_bool: ( $i * $i ) > $i ).

tff(decl_198,type,
    hAPP_f649174806e_bool: ( $i * $i ) > $i ).

tff(decl_199,type,
    cOMBK_497473068_state: $i ).

tff(decl_200,type,
    hAPP_p1227118702_pname: ( $i * $i ) > $i ).

tff(decl_201,type,
    image_1774499931_pname: $i > $i ).

tff(decl_202,type,
    cOMBK_131063602_state: $i ).

tff(decl_203,type,
    hAPP_c57939194te_com: ( $i * $i ) > $i ).

tff(decl_204,type,
    image_741143905te_com: $i > $i ).

tff(decl_205,type,
    hAPP_f1815646051m_bool: ( $i * $i ) > $i ).

tff(decl_206,type,
    cOMBK_869602456te_com: $i ).

tff(decl_207,type,
    hAPP_H275587026_state: ( $i * $i ) > $i ).

tff(decl_208,type,
    image_2605051_state: $i > $i ).

tff(decl_209,type,
    hAPP_f457085749e_bool: ( $i * $i ) > $i ).

tff(decl_210,type,
    cOMBK_2086841362_pname: $i ).

tff(decl_211,type,
    hAPP_H1938877132_state: ( $i * $i ) > $i ).

tff(decl_212,type,
    member1667945571_state: $i ).

tff(decl_213,type,
    hAPP_H2039996199l_bool: ( $i * $i ) > $i ).

tff(decl_214,type,
    member_pname: $i ).

tff(decl_215,type,
    cOMBK_pname_pname: $i ).

tff(decl_216,type,
    hAPP_p1170154830_pname: ( $i * $i ) > $i ).

tff(decl_217,type,
    image_pname_pname: $i > $i ).

tff(decl_218,type,
    cOMBK_com_pname: $i ).

tff(decl_219,type,
    hAPP_c1494068046me_com: ( $i * $i ) > $i ).

tff(decl_220,type,
    image_pname_com: $i > $i ).

tff(decl_221,type,
    hAPP_f1206115581m_bool: ( $i * $i ) > $i ).

tff(decl_222,type,
    member_com: $i ).

tff(decl_223,type,
    hAPP_c667411853l_bool: ( $i * $i ) > $i ).

tff(decl_224,type,
    hAPP_com_option_com: ( $i * $i ) > $i ).

tff(decl_225,type,
    some_com: $i ).

tff(decl_226,type,
    dom_com_com: $i > $i ).

tff(decl_227,type,
    some_pname: $i ).

tff(decl_228,type,
    dom_Ho2070278094_pname: $i > $i ).

tff(decl_229,type,
    hAPP_H1633077406_state: ( $i * $i ) > $i ).

tff(decl_230,type,
    some_H1043067815_state: $i ).

tff(decl_231,type,
    dom_Ho1607160812_state: $i > $i ).

tff(decl_232,type,
    wt: $i ).

tff(decl_233,type,
    hAPP_H46530577te_com: ( $i * $i ) > $i ).

tff(decl_234,type,
    image_com_pname: $i > $i ).

tff(decl_235,type,
    hAPP_p1751618853_state: ( $i * $i ) > $i ).

tff(decl_236,type,
    collect_com: $i ).

tff(decl_237,type,
    cOMBK_bool_pname: $i ).

tff(decl_238,type,
    cOMBK_1857069011e_bool: $i ).

tff(decl_239,type,
    cOMBK_293339231e_bool: $i ).

tff(decl_240,type,
    hAPP_b167205134l_bool: ( $i * $i ) > $i ).

tff(decl_241,type,
    cOMBK_bool_com: $i ).

tff(decl_242,type,
    hAPP_b1153789088m_bool: ( $i * $i ) > $i ).

tff(decl_243,type,
    cOMBK_988866959_state: $i ).

tff(decl_244,type,
    hAPP_b974863576e_bool: ( $i * $i ) > $i ).

tff(decl_245,type,
    fimplies: $i ).

tff(decl_246,type,
    fNot: $i ).

tff(decl_247,type,
    cOMBB_647938656_pname: $i > $i ).

tff(decl_248,type,
    cOMBC_1149511130e_bool: $i ).

tff(decl_249,type,
    fequal_pname: $i ).

tff(decl_250,type,
    hAPP_f22061361e_bool: ( $i * $i ) > $i ).

tff(decl_251,type,
    cOMBS_com_bool_bool: $i ).

tff(decl_252,type,
    cOMBB_886968260ol_com: $i > $i ).

tff(decl_253,type,
    cOMBB_bool_bool_com: $i > $i ).

tff(decl_254,type,
    cOMBC_com_com_bool: $i ).

tff(decl_255,type,
    fequal_com: $i ).

tff(decl_256,type,
    hAPP_f908845385m_bool: ( $i * $i ) > $i ).

tff(decl_257,type,
    hAPP_c1396316405m_bool: ( $i * $i ) > $i ).

tff(decl_258,type,
    hAPP_f954469007l_bool: ( $i * $i ) > $i ).

tff(decl_259,type,
    hAPP_f328772264m_bool: ( $i * $i ) > $i ).

tff(decl_260,type,
    cOMBB_307249310e_bool: $i > $i ).

tff(decl_261,type,
    fequal533582459e_bool: $i ).

tff(decl_262,type,
    cOMBB_1686148692e_bool: $i > $i ).

tff(decl_263,type,
    fequal1475827639e_bool: $i ).

tff(decl_264,type,
    cOMBB_325909978_state: $i > $i ).

tff(decl_265,type,
    cOMBC_1967329268e_bool: $i ).

tff(decl_266,type,
    fequal1440809015_state: $i ).

tff(decl_267,type,
    hAPP_f1902016361e_bool: ( $i * $i ) > $i ).

tff(decl_268,type,
    hAPP_H216526335e_bool: ( $i * $i ) > $i ).

tff(decl_269,type,
    fdisj: $i ).

tff(decl_270,type,
    cOMBC_1904837336l_bool: $i ).

tff(decl_271,type,
    hAPP_f578650245m_bool: ( $i * $i ) > $i ).

tff(decl_272,type,
    cOMBC_1988546018l_bool: $i ).

tff(decl_273,type,
    member799430823e_bool: $i ).

tff(decl_274,type,
    hAPP_f1145991873l_bool: ( $i * $i ) > $i ).

tff(decl_275,type,
    cOMBC_1484018740l_bool: $i ).

tff(decl_276,type,
    member131361931e_bool: $i ).

tff(decl_277,type,
    hAPP_f1236719585l_bool: ( $i * $i ) > $i ).

tff(decl_278,type,
    cOMBC_1058051404l_bool: $i ).

tff(decl_279,type,
    hAPP_f661147897e_bool: ( $i * $i ) > $i ).

tff(decl_280,type,
    cOMBC_538205282l_bool: $i ).

tff(decl_281,type,
    hAPP_f1184122441e_bool: ( $i * $i ) > $i ).

tff(decl_282,type,
    hAPP_p485182952_state: ( $i * $i ) > $i ).

tff(decl_283,type,
    hAPP_f556039215l_bool: ( $i * $i ) > $i ).

tff(decl_284,type,
    hAPP_f631019661l_bool: ( $i * $i ) > $i ).

tff(decl_285,type,
    cOMBC_114640782e_bool: $i ).

tff(decl_286,type,
    cOMBB_1327031172ol_com: $i > $i ).

tff(decl_287,type,
    hAPP_f475997903e_bool: ( $i * $i ) > $i ).

tff(decl_288,type,
    hAPP_f235185669m_bool: ( $i * $i ) > $i ).

tff(decl_289,type,
    hAPP_H313059897m_bool: ( $i * $i ) > $i ).

tff(decl_290,type,
    image_661047967_state: $i > $i ).

tff(decl_291,type,
    cOMBB_1563888316_state: $i > $i ).

tff(decl_292,type,
    hAPP_f596278895e_bool: ( $i * $i ) > $i ).

tff(decl_293,type,
    hAPP_H574424047_state: ( $i * $i ) > $i ).

tff(decl_294,type,
    cOMBC_1836455480e_bool: $i ).

tff(decl_295,type,
    cOMBB_1724041344e_bool: $i > $i ).

tff(decl_296,type,
    hAPP_f2113567599e_bool: ( $i * $i ) > $i ).

tff(decl_297,type,
    hAPP_f1186253673l_bool: ( $i * $i ) > $i ).

tff(decl_298,type,
    hAPP_f1218207411_state: ( $i * $i ) > $i ).

tff(decl_299,type,
    cOMBC_754402940e_bool: $i ).

tff(decl_300,type,
    cOMBB_1840094962e_bool: $i > $i ).

tff(decl_301,type,
    hAPP_f610934515e_bool: ( $i * $i ) > $i ).

tff(decl_302,type,
    hAPP_f1463049441l_bool: ( $i * $i ) > $i ).

tff(decl_303,type,
    hAPP_f718417177_state: ( $i * $i ) > $i ).

tff(decl_304,type,
    cOMBC_com_pname_bool: $i ).

tff(decl_305,type,
    cOMBB_1083901850ol_com: $i > $i ).

tff(decl_306,type,
    hAPP_f835719487e_bool: ( $i * $i ) > $i ).

tff(decl_307,type,
    hAPP_f734198589m_bool: ( $i * $i ) > $i ).

tff(decl_308,type,
    hAPP_p1639923567m_bool: ( $i * $i ) > $i ).

tff(decl_309,type,
    cOMBC_1952686190e_bool: $i ).

tff(decl_310,type,
    cOMBB_1365368614_state: $i > $i ).

tff(decl_311,type,
    hAPP_f777604691e_bool: ( $i * $i ) > $i ).

tff(decl_312,type,
    hAPP_f1720171569e_bool: ( $i * $i ) > $i ).

tff(decl_313,type,
    hAPP_p606792009e_bool: ( $i * $i ) > $i ).

tff(decl_314,type,
    cOMBB_542850580_pname: $i > $i ).

tff(decl_315,type,
    hAPP_f1336811455e_bool: ( $i * $i ) > $i ).

tff(decl_316,type,
    cOMBC_1004116266e_bool: $i ).

tff(decl_317,type,
    cOMBB_598082538e_bool: $i > $i ).

tff(decl_318,type,
    hAPP_f1385420507e_bool: ( $i * $i ) > $i ).

tff(decl_319,type,
    hAPP_f2082757169l_bool: ( $i * $i ) > $i ).

tff(decl_320,type,
    cOMBC_1558112230e_bool: $i ).

tff(decl_321,type,
    cOMBB_1400714760e_bool: $i > $i ).

tff(decl_322,type,
    hAPP_f700046015e_bool: ( $i * $i ) > $i ).

tff(decl_323,type,
    hAPP_f780571929l_bool: ( $i * $i ) > $i ).

tff(decl_324,type,
    hAPP_p1235466077l_bool: ( $i * $i ) > $i ).

tff(decl_325,type,
    cOMBC_1984545208l_bool: $i ).

tff(decl_326,type,
    cOMBB_1631414076_state: $i > $i ).

tff(decl_327,type,
    hAPP_f381060343l_bool: ( $i * $i ) > $i ).

tff(decl_328,type,
    hAPP_f591683433e_bool: ( $i * $i ) > $i ).

tff(decl_329,type,
    cOMBB_639263758_state: $i > $i ).

tff(decl_330,type,
    hAPP_f1191357267l_bool: ( $i * $i ) > $i ).

tff(decl_331,type,
    cOMBB_408569982_pname: $i > $i ).

tff(decl_332,type,
    hAPP_f567934427l_bool: ( $i * $i ) > $i ).

tff(decl_333,type,
    cOMBC_1757633998l_bool: $i ).

tff(decl_334,type,
    cOMBB_949755692_pname: $i > $i ).

tff(decl_335,type,
    hAPP_f1143533991l_bool: ( $i * $i ) > $i ).

tff(decl_336,type,
    hAPP_f568104217e_bool: ( $i * $i ) > $i ).

tff(decl_337,type,
    cOMBC_19854728e_bool: $i ).

tff(decl_338,type,
    cOMBB_181781758_pname: $i > $i ).

tff(decl_339,type,
    hAPP_f472107739e_bool: ( $i * $i ) > $i ).

tff(decl_340,type,
    hAPP_f343137017e_bool: ( $i * $i ) > $i ).

tff(decl_341,type,
    semila176469292e_bool: $i ).

tff(decl_342,type,
    hAPP_f1794460506e_bool: ( $i * $i ) > $i ).

tff(decl_343,type,
    cOMBB_271860050_pname: $i > $i ).

tff(decl_344,type,
    hAPP_f1377420673_state: ( $i * $i ) > $i ).

tff(decl_345,type,
    cOMBB_923936821_pname: $i > $i ).

tff(decl_346,type,
    hAPP_f96342628me_com: ( $i * $i ) > $i ).

tff(decl_347,type,
    the_elem_pname: $i ).

tff(decl_348,type,
    the_elem_com: $i ).

tff(decl_349,type,
    hAPP_f1276420679ol_com: ( $i * $i ) > $i ).

tff(decl_350,type,
    the_el2080696983_state: $i ).

tff(decl_351,type,
    ord_less_eq_bool: $i ).

tff(decl_352,type,
    hAPP_b589554111l_bool: ( $i * $i ) > $i ).

tff(decl_353,type,
    the_pname_1: $i ).

tff(decl_354,type,
    the_Ho32424093_state: $i ).

tff(decl_355,type,
    hAPP_o1912464824_state: ( $i * $i ) > $i ).

tff(decl_356,type,
    hoare_1191504582_state: $i ).

tff(decl_357,type,
    hAPP_f274181323_state: ( $i * $i ) > $i ).

tff(decl_358,type,
    hAPP_c27135337_state: ( $i * $i ) > $i ).

tff(decl_359,type,
    hAPP_f497755132_state: ( $i * $i ) > $i ).

tff(decl_360,type,
    semila605046092m_bool: $i ).

tff(decl_361,type,
    hAPP_f1120618594m_bool: ( $i * $i ) > $i ).

tff(decl_362,type,
    semila278973382e_bool: $i ).

tff(decl_363,type,
    hAPP_f1388330588e_bool: ( $i * $i ) > $i ).

tff(decl_364,type,
    semila1782091504l_bool: $i ).

tff(decl_365,type,
    hAPP_f230953622l_bool: ( $i * $i ) > $i ).

tff(decl_366,type,
    semila1672697786l_bool: $i ).

tff(decl_367,type,
    hAPP_f1847120l_bool: ( $i * $i ) > $i ).

tff(decl_368,type,
    cOMBS_1524960158_state: $i ).

tff(decl_369,type,
    cOMBS_1020065803_state: $i ).

tff(decl_370,type,
    cOMBB_2084106034_pname: $i > $i ).

tff(decl_371,type,
    hAPP_f804744487_state: ( $i * $i ) > $i ).

tff(decl_372,type,
    hAPP_f1922754332_state: ( $i * $i ) > $i ).

tff(decl_373,type,
    hAPP_f460309545_state: ( $i * $i ) > $i ).

tff(decl_374,type,
    hAPP_f1811131990_state: ( $i * $i ) > $i ).

tff(decl_375,type,
    hAPP_f914896950_state: ( $i * $i ) > $i ).

tff(decl_376,type,
    cOMBC_471052088e_bool: $i ).

tff(decl_377,type,
    cOMBC_231445413l_bool: $i ).

tff(decl_378,type,
    cOMBB_1757942702_state: $i > $i ).

tff(decl_379,type,
    cOMBB_188601460_state: $i > $i ).

tff(decl_380,type,
    cOMBB_1759179140_state: $i > $i ).

tff(decl_381,type,
    hAPP_f1283379615l_bool: ( $i * $i ) > $i ).

tff(decl_382,type,
    hAPP_f873506917e_bool: ( $i * $i ) > $i ).

tff(decl_383,type,
    hAPP_f701449317e_bool: ( $i * $i ) > $i ).

tff(decl_384,type,
    hAPP_b1095269219e_bool: ( $i * $i ) > $i ).

tff(decl_385,type,
    hAPP_p1637813682e_bool: ( $i * $i ) > $i ).

tff(decl_386,type,
    hAPP_f887530048e_bool: ( $i * $i ) > $i ).

tff(decl_387,type,
    hAPP_f792846925ol_com: ( $i * $i ) > $i ).

tff(decl_388,type,
    cOMBS_858986606_state: $i ).

tff(decl_389,type,
    cOMBS_384351451_state: $i ).

tff(decl_390,type,
    cOMBB_1794358604e_bool: $i > $i ).

tff(decl_391,type,
    hAPP_f1633046421_state: ( $i * $i ) > $i ).

tff(decl_392,type,
    hAPP_f578932784_state: ( $i * $i ) > $i ).

tff(decl_393,type,
    hAPP_f240260249_state: ( $i * $i ) > $i ).

tff(decl_394,type,
    hAPP_f815143704_state: ( $i * $i ) > $i ).

tff(decl_395,type,
    hAPP_f819036232_state: ( $i * $i ) > $i ).

tff(decl_396,type,
    hAPP_f1487042470e_bool: ( $i * $i ) > $i ).

tff(decl_397,type,
    hAPP_f1547517799ol_com: ( $i * $i ) > $i ).

tff(decl_398,type,
    cOMBS_57685138_state: $i ).

tff(decl_399,type,
    cOMBS_1164062463_state: $i ).

tff(decl_400,type,
    cOMBB_2049797414e_bool: $i > $i ).

tff(decl_401,type,
    hAPP_f250550847_state: ( $i * $i ) > $i ).

tff(decl_402,type,
    hAPP_f37848848_state: ( $i * $i ) > $i ).

tff(decl_403,type,
    hAPP_f824259881_state: ( $i * $i ) > $i ).

tff(decl_404,type,
    hAPP_f886846002_state: ( $i * $i ) > $i ).

tff(decl_405,type,
    hAPP_f578501918_state: ( $i * $i ) > $i ).

tff(decl_406,type,
    hAPP_s1806633685e_bool: ( $i * $i ) > $i ).

tff(decl_407,type,
    cOMBK_631994958_state: $i ).

tff(decl_408,type,
    cOMBC_2027030106e_bool: $i ).

tff(decl_409,type,
    fequal_state: $i ).

tff(decl_410,type,
    hAPP_f817621513e_bool: ( $i * $i ) > $i ).

tff(decl_411,type,
    hAPP_f1863945078e_bool: ( $i * $i ) > $i ).

tff(decl_412,type,
    hoare_919241616_state: $i > $i ).

tff(decl_413,type,
    set_com: $i > $i ).

tff(decl_414,type,
    set_Ho1741238126_state: $i > $i ).

tff(decl_415,type,
    semila1168014441p_bool: $i ).

tff(decl_416,type,
    hAPP_com_fun_com_com: ( $i * $i ) > $i ).

tff(decl_417,type,
    hAPP_com_com: ( $i * $i ) > $i ).

tff(decl_418,type,
    hAPP_H280516760_state: ( $i * $i ) > $i ).

tff(decl_419,type,
    skip: $i ).

tff(decl_420,type,
    cOMBC_952831051e_bool: $i ).

tff(decl_421,type,
    cOMBS_1378840469l_bool: $i ).

tff(decl_422,type,
    cOMBB_20296667_state: $i > $i ).

tff(decl_423,type,
    hAPP_f1138284024e_bool: ( $i * $i ) > $i ).

tff(decl_424,type,
    hAPP_f915354021e_bool: ( $i * $i ) > $i ).

tff(decl_425,type,
    cOMBB_160679318_state: $i > $i ).

tff(decl_426,type,
    hAPP_f1759915619e_bool: ( $i * $i ) > $i ).

tff(decl_427,type,
    while: $i > $i ).

tff(decl_428,type,
    semi: $i ).

tff(decl_429,type,
    image_2063528359e_bool: $i > $i ).

tff(decl_430,type,
    image_390184709e_bool: $i > $i ).

tff(decl_431,type,
    image_com_com: $i > $i ).

tff(decl_432,type,
    the_com_1: $i ).

tff(decl_433,type,
    fequal_fun_com_bool: $i ).

tff(decl_434,type,
    cOMBB_298914627ol_com: $i > $i ).

tff(decl_435,type,
    cOMBC_1977231931m_bool: $i ).

tff(decl_436,type,
    hAPP_f947797701m_bool: ( $i * $i ) > $i ).

tff(decl_437,type,
    hAPP_f721468006m_bool: ( $i * $i ) > $i ).

tff(decl_438,type,
    hAPP_f1998868198m_bool: ( $i * $i ) > $i ).

tff(decl_439,type,
    the_pname: $i ).

tff(decl_440,type,
    cOMBB_530759491_pname: $i > $i ).

tff(decl_441,type,
    cOMBC_1123258281e_bool: $i ).

tff(decl_442,type,
    hAPP_f698292281e_bool: ( $i * $i ) > $i ).

tff(decl_443,type,
    hAPP_f180827860e_bool: ( $i * $i ) > $i ).

tff(decl_444,type,
    the_Ho2067184133_state: $i ).

tff(decl_445,type,
    cOMBB_1282391997_state: $i > $i ).

tff(decl_446,type,
    cOMBC_1229155955e_bool: $i ).

tff(decl_447,type,
    hAPP_f1802364479e_bool: ( $i * $i ) > $i ).

tff(decl_448,type,
    hAPP_f874203478e_bool: ( $i * $i ) > $i ).

tff(decl_449,type,
    hAPP_f1900156034e_bool: ( $i * $i ) > $i ).

tff(decl_450,type,
    fAll_state: $i ).

tff(decl_451,type,
    cOMBB_1911358915_state: $i > $i ).

tff(decl_452,type,
    cOMBB_1036740637_state: $i > $i ).

tff(decl_453,type,
    evalc: $i > $i ).

tff(decl_454,type,
    cOMBB_1476898461_state: $i > $i ).

tff(decl_455,type,
    hAPP_f249262236e_bool: ( $i * $i ) > $i ).

tff(decl_456,type,
    hAPP_f1935169308e_bool: ( $i * $i ) > $i ).

tff(decl_457,type,
    semila1130628874l_bool: $i ).

tff(decl_458,type,
    semila1028267552l_bool: $i ).

tff(decl_459,type,
    semila1635148844e_bool: $i ).

tff(decl_460,type,
    semila1874263622e_bool: $i ).

tff(decl_461,type,
    semila980496562m_bool: $i ).

tff(decl_462,type,
    minus_59609839m_bool: $i ).

tff(decl_463,type,
    minus_1015773161e_bool: $i ).

tff(decl_464,type,
    minus_1805465033e_bool: $i ).

tff(decl_465,type,
    minus_1290075917l_bool: $i ).

tff(decl_466,type,
    minus_1929235165l_bool: $i ).

tff(decl_467,type,
    semila310582991f_bool: $i ).

tff(decl_468,type,
    cOMBS_853737105_state: $i ).

tff(decl_469,type,
    cOMBS_140201078_state: $i ).

tff(decl_470,type,
    if_Hoa443228806_state: $i ).

tff(decl_471,type,
    cOMBB_143651633_pname: $i > $i ).

tff(decl_472,type,
    hAPP_f1836930278_state: ( $i * $i ) > $i ).

tff(decl_473,type,
    hAPP_f2119427284_state: ( $i * $i ) > $i ).

tff(decl_474,type,
    hAPP_f1655792756_state: ( $i * $i ) > $i ).

tff(decl_475,type,
    hAPP_f799842582_state: ( $i * $i ) > $i ).

tff(decl_476,type,
    hAPP_f1343550633_state: ( $i * $i ) > $i ).

tff(decl_477,type,
    cOMBS_904531235on_com: $i ).

tff(decl_478,type,
    cOMBS_1529518335on_com: $i ).

tff(decl_479,type,
    if_option_com: $i ).

tff(decl_480,type,
    cOMBB_1394247784_pname: $i > $i ).

tff(decl_481,type,
    hAPP_f755519727on_com: ( $i * $i ) > $i ).

tff(decl_482,type,
    hAPP_f2093196134on_com: ( $i * $i ) > $i ).

tff(decl_483,type,
    hAPP_f648377725on_com: ( $i * $i ) > $i ).

tff(decl_484,type,
    hAPP_f1673966486on_com: ( $i * $i ) > $i ).

tff(decl_485,type,
    hAPP_f2123220539on_com: ( $i * $i ) > $i ).

tff(decl_486,type,
    overri1496249029on_com: ( $i * $i * $i ) > $i ).

tff(decl_487,type,
    partial_flat_lub_com: $i > $i ).

tff(decl_488,type,
    partia752020666_pname: $i > $i ).

tff(decl_489,type,
    partia325231104_state: $i > $i ).

tff(decl_490,type,
    cOMBC_788185579m_bool: $i ).

tff(decl_491,type,
    hAPP_f1898485935m_bool: ( $i * $i ) > $i ).

tff(decl_492,type,
    cOMBB_2112550369ol_com: $i > $i ).

tff(decl_493,type,
    hAPP_f57617970m_bool: ( $i * $i ) > $i ).

tff(decl_494,type,
    cOMBC_1880008793e_bool: $i ).

tff(decl_495,type,
    hAPP_f182188835e_bool: ( $i * $i ) > $i ).

tff(decl_496,type,
    cOMBB_1919352417_pname: $i > $i ).

tff(decl_497,type,
    hAPP_f647826488e_bool: ( $i * $i ) > $i ).

tff(decl_498,type,
    cOMBC_528733435e_bool: $i ).

tff(decl_499,type,
    hAPP_f2061951445e_bool: ( $i * $i ) > $i ).

tff(decl_500,type,
    cOMBB_604855927_state: $i > $i ).

tff(decl_501,type,
    hAPP_f241329646e_bool: ( $i * $i ) > $i ).

tff(decl_502,type,
    fun_up1055265789_state: ( $i * $i * $i ) > $i ).

tff(decl_503,type,
    cOMBK_413306633_pname: $i ).

tff(decl_504,type,
    none_com: $i ).

tff(decl_505,type,
    hAPP_o129566686on_com: ( $i * $i ) > $i ).

tff(decl_506,type,
    fun_up879233478on_com: ( $i * $i * $i ) > $i ).

tff(decl_507,type,
    finite1275301314m_bool: $i > $i ).

tff(decl_508,type,
    finite315386934e_bool: $i > $i ).

tff(decl_509,type,
    finite1230907212e_bool: $i > $i ).

tff(decl_510,type,
    cOMBC_694979519l_bool: $i ).

tff(decl_511,type,
    hAPP_f1477350485l_bool: ( $i * $i ) > $i ).

tff(decl_512,type,
    cOMBB_631815671e_bool: $i > $i ).

tff(decl_513,type,
    cOMBC_772615479l_bool: $i ).

tff(decl_514,type,
    hAPP_f836143551l_bool: ( $i * $i ) > $i ).

tff(decl_515,type,
    hAPP_f417341722l_bool: ( $i * $i ) > $i ).

tff(decl_516,type,
    hAPP_f1149191722l_bool: ( $i * $i ) > $i ).

tff(decl_517,type,
    finite1627341516l_bool: $i > $i ).

tff(decl_518,type,
    cOMBC_1377256501l_bool: $i ).

tff(decl_519,type,
    hAPP_f1573805579l_bool: ( $i * $i ) > $i ).

tff(decl_520,type,
    cOMBB_494346593e_bool: $i > $i ).

tff(decl_521,type,
    cOMBC_1639502213l_bool: $i ).

tff(decl_522,type,
    hAPP_f476955937l_bool: ( $i * $i ) > $i ).

tff(decl_523,type,
    hAPP_f2059879088l_bool: ( $i * $i ) > $i ).

tff(decl_524,type,
    hAPP_f1316144452l_bool: ( $i * $i ) > $i ).

tff(decl_525,type,
    finite1943735070l_bool: $i > $i ).

tff(decl_526,type,
    cOMBC_59067399e_bool: $i ).

tff(decl_527,type,
    cOMBB_667059641_pname: $i > $i ).

tff(decl_528,type,
    hAPP_f2028971360e_bool: ( $i * $i ) > $i ).

tff(decl_529,type,
    hAPP_f376349141e_bool: ( $i * $i ) > $i ).

tff(decl_530,type,
    hAPP_f103229774e_bool: ( $i * $i ) > $i ).

tff(decl_531,type,
    finite1443934175_pname: ( $i * $i * $i * $i ) > $i ).

tff(decl_532,type,
    inj_on264996226_state: $i > $i ).

tff(decl_533,type,
    inj_on11367768on_com: $i > $i ).

tff(decl_534,type,
    none_H175086635_state: $i ).

tff(decl_535,type,
    cOMBC_1381995473m_bool: $i ).

tff(decl_536,type,
    fequal_option_com: $i ).

tff(decl_537,type,
    cOMBB_418828222_pname: $i > $i ).

tff(decl_538,type,
    hAPP_f919496731m_bool: ( $i * $i ) > $i ).

tff(decl_539,type,
    hAPP_f837293113e_bool: ( $i * $i ) > $i ).

tff(decl_540,type,
    finite446335722e_bool: $i > $i ).

tff(decl_541,type,
    hAPP_f246190092e_bool: ( $i * $i ) > $i ).

tff(decl_542,type,
    finite391880392e_bool: $i > $i ).

tff(decl_543,type,
    hAPP_f1712138014e_bool: ( $i * $i ) > $i ).

tff(decl_544,type,
    finite_finite_bool: $i ).

tff(decl_545,type,
    member_bool: $i ).

tff(decl_546,type,
    hAPP_b1787118453l_bool: ( $i * $i ) > $i ).

tff(decl_547,type,
    finite1909292976l_bool: $i > $i ).

tff(decl_548,type,
    insert_bool: $i ).

tff(decl_549,type,
    hAPP_b496459037l_bool: ( $i * $i ) > $i ).

tff(decl_550,type,
    hAPP_f961197973l_bool: ( $i * $i ) > $i ).

tff(decl_551,type,
    inj_on1490514707e_bool: $i > $i ).

tff(decl_552,type,
    inj_on2143431281e_bool: $i > $i ).

tff(decl_553,type,
    inj_on535898123_state: $i > $i ).

tff(decl_554,type,
    finite_fold_com_com: $i > $i ).

tff(decl_555,type,
    hAPP_c1546426672ol_com: ( $i * $i ) > $i ).

tff(decl_556,type,
    finite1657623752_pname: $i > $i ).

tff(decl_557,type,
    hAPP_p1630511146_pname: ( $i * $i ) > $i ).

tff(decl_558,type,
    finite212984546_state: $i > $i ).

tff(decl_559,type,
    hAPP_H1440241088_state: ( $i * $i ) > $i ).

tff(decl_560,type,
    inj_on63516655_pname: $i > $i ).

tff(decl_561,type,
    restri1382200118me_com: ( $i * $i ) > $i ).

tff(decl_562,type,
    big_la28065288e_bool: $i ).

tff(decl_563,type,
    big_la236972906e_bool: $i ).

tff(decl_564,type,
    top_top_fun_com_bool: $i ).

tff(decl_565,type,
    top_to215444530e_bool: $i ).

tff(decl_566,type,
    hAPP_b1679505845on_com: ( $i * $i ) > $i ).

tff(decl_567,type,
    hAPP_o334540577on_com: ( $i * $i ) > $i ).

tff(decl_568,type,
    hAPP_o356497025on_com: ( $i * $i ) > $i ).

tff(decl_569,type,
    hAPP_o1684370239m_bool: ( $i * $i ) > $i ).

tff(decl_570,type,
    hAPP_c1580157610l_bool: ( $i * $i ) > $i ).

tff(decl_571,type,
    hAPP_f167292325e_bool: ( $i * $i ) > $i ).

tff(decl_572,type,
    hAPP_b2019457360e_bool: ( $i * $i ) > $i ).

tff(decl_573,type,
    hAPP_s58564346l_bool: ( $i * $i ) > $i ).

tff(decl_574,type,
    hAPP_p393069232l_bool: ( $i * $i ) > $i ).

tff(decl_575,type,
    hAPP_f644196280e_bool: ( $i * $i ) > $i ).

tff(decl_576,type,
    hAPP_b993469484_state: ( $i * $i ) > $i ).

tff(decl_577,type,
    hAPP_p558118546m_bool: ( $i * $i ) > $i ).

tff(decl_578,type,
    hAPP_f1259673775l_bool: ( $i * $i ) > $i ).

tff(decl_579,type,
    hAPP_f1476298914l_bool: ( $i * $i ) > $i ).

tff(decl_580,type,
    hAPP_f1012183542e_bool: ( $i * $i ) > $i ).

tff(decl_581,type,
    hAPP_s1874344717e_bool: ( $i * $i ) > $i ).

tff(decl_582,type,
    hAPP_p1086945780on_com: ( $i * $i ) > $i ).

tff(decl_583,type,
    hAPP_c1311333443e_bool: ( $i * $i ) > $i ).

tff(decl_584,type,
    hAPP_H1270401638l_bool: ( $i * $i ) > $i ).

tff(decl_585,type,
    hAPP_s1226857760e_bool: ( $i * $i ) > $i ).

tff(decl_586,type,
    hAPP_f2067558332l_bool: ( $i * $i ) > $i ).

tff(decl_587,type,
    hAPP_s2001034685l_bool: ( $i * $i ) > $i ).

tff(decl_588,type,
    hAPP_s336103912e_bool: ( $i * $i ) > $i ).

tff(decl_589,type,
    hAPP_p1164893188on_com: ( $i * $i ) > $i ).

tff(decl_590,type,
    hAPP_p1947457250_state: ( $i * $i ) > $i ).

tff(decl_591,type,
    hAPP_p1331349103_state: ( $i * $i ) > $i ).

tff(decl_592,type,
    hAPP_p357103842_state: ( $i * $i ) > $i ).

tff(decl_593,type,
    hAPP_f1867816801_state: ( $i * $i ) > $i ).

tff(decl_594,type,
    hAPP_p105983054e_bool: ( $i * $i ) > $i ).

tff(decl_595,type,
    hAPP_f2099268820_state: ( $i * $i ) > $i ).

tff(decl_596,type,
    hAPP_p1159359355_state: ( $i * $i ) > $i ).

tff(decl_597,type,
    hAPP_f1554347387_state: ( $i * $i ) > $i ).

tff(decl_598,type,
    hAPP_f403544558_state: ( $i * $i ) > $i ).

tff(decl_599,type,
    fa: $i ).

tff(decl_600,type,
    y: $i ).

tff(decl_601,type,
    esk1_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_602,type,
    esk2_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_603,type,
    esk3_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_604,type,
    esk4_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_605,type,
    esk5_2: ( $i * $i ) > $i ).

tff(decl_606,type,
    esk6_0: $i ).

tff(decl_607,type,
    esk7_0: $i ).

tff(decl_608,type,
    esk8_1: $i > $i ).

tff(decl_609,type,
    esk9_2: ( $i * $i ) > $i ).

tff(decl_610,type,
    esk10_2: ( $i * $i ) > $i ).

tff(decl_611,type,
    esk11_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_612,type,
    esk12_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_613,type,
    esk13_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_614,type,
    esk14_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_615,type,
    esk15_2: ( $i * $i ) > $i ).

tff(decl_616,type,
    esk16_1: $i > $i ).

tff(decl_617,type,
    esk17_1: $i > $i ).

tff(decl_618,type,
    esk18_1: $i > $i ).

tff(decl_619,type,
    esk19_3: ( $i * $i * $i ) > $i ).

tff(decl_620,type,
    esk20_3: ( $i * $i * $i ) > $i ).

tff(decl_621,type,
    esk21_2: ( $i * $i ) > $i ).

tff(decl_622,type,
    esk22_2: ( $i * $i ) > $i ).

tff(decl_623,type,
    esk23_2: ( $i * $i ) > $i ).

tff(decl_624,type,
    esk24_1: $i > $i ).

tff(decl_625,type,
    esk25_1: $i > $i ).

tff(decl_626,type,
    esk26_1: $i > $i ).

tff(decl_627,type,
    esk27_1: $i > $i ).

tff(decl_628,type,
    esk28_2: ( $i * $i ) > $i ).

tff(decl_629,type,
    esk29_2: ( $i * $i ) > $i ).

tff(decl_630,type,
    esk30_2: ( $i * $i ) > $i ).

tff(decl_631,type,
    esk31_1: $i > $i ).

tff(decl_632,type,
    esk32_2: ( $i * $i ) > $i ).

tff(decl_633,type,
    esk33_2: ( $i * $i ) > $i ).

tff(decl_634,type,
    esk34_2: ( $i * $i ) > $i ).

tff(decl_635,type,
    esk35_2: ( $i * $i ) > $i ).

tff(decl_636,type,
    esk36_3: ( $i * $i * $i ) > $i ).

tff(decl_637,type,
    esk37_3: ( $i * $i * $i ) > $i ).

tff(decl_638,type,
    esk38_3: ( $i * $i * $i ) > $i ).

tff(decl_639,type,
    esk39_2: ( $i * $i ) > $i ).

tff(decl_640,type,
    esk40_2: ( $i * $i ) > $i ).

tff(decl_641,type,
    esk41_1: $i > $i ).

tff(decl_642,type,
    esk42_1: $i > $i ).

tff(decl_643,type,
    esk43_2: ( $i * $i ) > $i ).

tff(decl_644,type,
    esk44_2: ( $i * $i ) > $i ).

tff(decl_645,type,
    esk45_2: ( $i * $i ) > $i ).

tff(decl_646,type,
    esk46_2: ( $i * $i ) > $i ).

tff(decl_647,type,
    esk47_2: ( $i * $i ) > $i ).

tff(decl_648,type,
    esk48_1: $i > $i ).

tff(decl_649,type,
    esk49_1: $i > $i ).

tff(decl_650,type,
    esk50_2: ( $i * $i ) > $i ).

tff(decl_651,type,
    esk51_1: $i > $i ).

tff(decl_652,type,
    esk52_1: $i > $i ).

tff(decl_653,type,
    esk53_2: ( $i * $i ) > $i ).

tff(decl_654,type,
    esk54_2: ( $i * $i ) > $i ).

tff(decl_655,type,
    esk55_1: $i > $i ).

tff(decl_656,type,
    esk56_3: ( $i * $i * $i ) > $i ).

tff(decl_657,type,
    esk57_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_658,type,
    esk58_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_659,type,
    esk59_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_660,type,
    esk60_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_661,type,
    esk61_1: $i > $i ).

tff(decl_662,type,
    esk62_1: $i > $i ).

tff(decl_663,type,
    esk63_1: $i > $i ).

tff(decl_664,type,
    esk64_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_665,type,
    esk65_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_666,type,
    esk66_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_667,type,
    esk67_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_668,type,
    esk68_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_669,type,
    esk69_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_670,type,
    esk70_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_671,type,
    esk71_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_672,type,
    esk72_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_673,type,
    esk73_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_674,type,
    esk74_3: ( $i * $i * $i ) > $i ).

tff(decl_675,type,
    esk75_3: ( $i * $i * $i ) > $i ).

tff(decl_676,type,
    esk76_3: ( $i * $i * $i ) > $i ).

tff(decl_677,type,
    esk77_3: ( $i * $i * $i ) > $i ).

tff(decl_678,type,
    esk78_3: ( $i * $i * $i ) > $i ).

tff(decl_679,type,
    esk79_3: ( $i * $i * $i ) > $i ).

tff(decl_680,type,
    esk80_2: ( $i * $i ) > $i ).

tff(decl_681,type,
    esk81_2: ( $i * $i ) > $i ).

tff(decl_682,type,
    esk82_2: ( $i * $i ) > $i ).

tff(decl_683,type,
    esk83_3: ( $i * $i * $i ) > $i ).

tff(decl_684,type,
    esk84_3: ( $i * $i * $i ) > $i ).

tff(decl_685,type,
    esk85_3: ( $i * $i * $i ) > $i ).

tff(decl_686,type,
    esk86_3: ( $i * $i * $i ) > $i ).

tff(decl_687,type,
    esk87_3: ( $i * $i * $i ) > $i ).

tff(decl_688,type,
    esk88_3: ( $i * $i * $i ) > $i ).

tff(decl_689,type,
    esk89_2: ( $i * $i ) > $i ).

tff(decl_690,type,
    esk90_2: ( $i * $i ) > $i ).

tff(decl_691,type,
    esk91_2: ( $i * $i ) > $i ).

tff(decl_692,type,
    esk92_1: $i > $i ).

tff(decl_693,type,
    esk93_1: $i > $i ).

tff(decl_694,type,
    esk94_1: $i > $i ).

tff(decl_695,type,
    esk95_1: $i > $i ).

tff(decl_696,type,
    esk96_0: $i ).

tff(decl_697,type,
    esk97_0: $i ).

tff(decl_698,type,
    esk98_0: $i ).

tff(decl_699,type,
    esk99_0: $i ).

tff(decl_700,type,
    esk100_0: $i ).

tff(decl_701,type,
    esk101_0: $i ).

tff(decl_702,type,
    esk102_0: $i ).

tff(decl_703,type,
    esk103_0: $i ).

tff(decl_704,type,
    esk104_0: $i ).

tff(decl_705,type,
    esk105_0: $i ).

tff(decl_706,type,
    esk106_0: $i ).

tff(decl_707,type,
    esk107_0: $i ).

tff(decl_708,type,
    esk108_2: ( $i * $i ) > $i ).

tff(decl_709,type,
    esk109_2: ( $i * $i ) > $i ).

tff(decl_710,type,
    esk110_3: ( $i * $i * $i ) > $i ).

tff(decl_711,type,
    esk111_3: ( $i * $i * $i ) > $i ).

tff(decl_712,type,
    esk112_3: ( $i * $i * $i ) > $i ).

tff(decl_713,type,
    esk113_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_714,type,
    esk114_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_715,type,
    esk115_1: $i > $i ).

tff(decl_716,type,
    esk116_1: $i > $i ).

tff(decl_717,type,
    esk117_1: $i > $i ).

tff(decl_718,type,
    esk118_1: $i > $i ).

tff(decl_719,type,
    esk119_1: $i > $i ).

tff(decl_720,type,
    esk120_2: ( $i * $i ) > $i ).

tff(decl_721,type,
    esk121_2: ( $i * $i ) > $i ).

tff(decl_722,type,
    esk122_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_723,type,
    esk123_4: ( $i * $i * $i * $i ) > $i ).

fof(fact_297_WT__bodiesD,axiom,
    ! [X29,X30] :
      ( hBOOL(wT_bodies)
     => ( hAPP_p799580910on_com(body,X29) = hAPP_com_option_com(some_com,X30)
       => hBOOL(hAPP_com_bool(wt,X30)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_WT__bodiesD) ).

fof(fact_4_cut,axiom,
    ! [X3,X6,X4] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X6),X4))
     => ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X6))
       => hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X4)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).

fof(fact_0_empty,axiom,
    ! [X3] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),bot_bo784226126e_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).

fof(fact_66_MGF,axiom,
    ! [X15] :
      ( hBOOL(hoare_1795711768gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(hAPP_com_bool(wt,X15))
         => hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X15)),bot_bo784226126e_bool))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_MGF) ).

fof(conj_1,hypothesis,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(conj_0,hypothesis,
    hBOOL(hoare_1795711768gleton),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(conj_5,hypothesis,
    hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).

fof(conj_7,conjecture,
    hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).

fof(c_0_8,plain,
    ! [X139,X140] :
      ( ~ hBOOL(wT_bodies)
      | hAPP_p799580910on_com(body,X139) != hAPP_com_option_com(some_com,X140)
      | hBOOL(hAPP_com_bool(wt,X140)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_297_WT__bodiesD])]) ).

fof(c_0_9,plain,
    ! [X624,X625,X626] :
      ( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X625),X626))
      | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X624),X625))
      | hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X624),X626)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])]) ).

fof(c_0_10,plain,
    ! [X615] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X615),bot_bo784226126e_bool)),
    inference(variable_rename,[status(thm)],[fact_0_empty]) ).

fof(c_0_11,plain,
    ! [X138] :
      ( ~ hBOOL(hoare_1795711768gleton)
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hAPP_com_bool(wt,X138))
      | hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X138)),bot_bo784226126e_bool))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_66_MGF])]) ).

cnf(c_0_12,plain,
    ( hBOOL(hAPP_com_bool(wt,X2))
    | ~ hBOOL(wT_bodies)
    | hAPP_p799580910on_com(body,X1) != hAPP_com_option_com(some_com,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,hypothesis,
    hBOOL(wT_bodies),
    inference(split_conjunct,[status(thm)],[conj_1]) ).

cnf(c_0_14,plain,
    ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X2))
    | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
    | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),bot_bo784226126e_bool)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1)),bot_bo784226126e_bool)))
    | ~ hBOOL(hoare_1795711768gleton)
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hAPP_com_bool(wt,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,hypothesis,
    hBOOL(hoare_1795711768gleton),
    inference(split_conjunct,[status(thm)],[conj_0]) ).

cnf(c_0_18,plain,
    ( hBOOL(hAPP_com_bool(wt,X1))
    | hAPP_com_option_com(some_com,X1) != hAPP_p799580910on_com(body,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).

cnf(c_0_19,hypothesis,
    hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
    inference(split_conjunct,[status(thm)],[conj_5]) ).

fof(c_0_20,negated_conjecture,
    ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7])]) ).

cnf(c_0_21,plain,
    ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
    | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),X2)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_22,plain,
    ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1)),bot_bo784226126e_bool)))
    | ~ hBOOL(hAPP_com_bool(wt,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_13]),c_0_17])]) ).

cnf(c_0_23,hypothesis,
    ( hBOOL(hAPP_com_bool(wt,y))
    | hAPP_p799580910on_com(body,pn) != hAPP_p799580910on_com(body,X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_25,plain,
    ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X2)),bot_bo784226126e_bool)))
    | ~ hBOOL(hAPP_com_bool(wt,X2)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,hypothesis,
    hBOOL(hAPP_com_bool(wt,y)),
    inference(er,[status(thm)],[c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : SWW474+3 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.09  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Sun Aug 27 18:21:45 EDT 2023
% 0.08/0.28  % CPUTime  : 
% 0.13/0.45  start to proof: theBenchmark
% 0.13/0.75  % Version  : CSE_E---1.5
% 0.13/0.75  % Problem  : theBenchmark.p
% 0.13/0.75  % Proof found
% 0.13/0.75  % SZS status Theorem for theBenchmark.p
% 0.13/0.75  % SZS output start Proof
% See solution above
% 0.13/0.77  % Total time : 0.272000 s
% 0.13/0.77  % SZS output end Proof
% 0.13/0.77  % Total time : 0.299000 s
%------------------------------------------------------------------------------