%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW470_2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 : Fri Sep 25 03:29:44 PM UTC 2026
% Result : Theorem 38.47s 9.74s
% Output : CNFRefutation 38.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 107 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 33 ~; 32 |; 7 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of FOOLs : 7 ( 7 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 183 ( 181 usr; 179 prp; 0-4 aty)
% Number of functors : 529 ( 529 usr; 139 con; 0-6 aty)
% Number of variables : 134 ( 0 sgn 128 !; 6 ?; 134 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
big_la43341705in_nat: fun_fun_nat_bool_nat ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(pred_def_2,type,
sP0: ( fun_Ho115022426iple_a * ( hoare_1544627872iple_a * ( hoare_1544627872iple_a * fun_Ho287446294a_bool ) ) ) > $o ).
tff(pred_def_3,type,
sP1: ( bool * bool ) > $o ).
tff(func_def_4,type,
cOMBB_1977449916iple_a: fun_fu796044527a_bool ).
tff(func_def_5,type,
cOMBB_1424001755_state: fun_fu10608219e_bool ).
tff(func_def_6,type,
cOMBB_bool_bool_nat: fun_fu1509210819t_bool ).
tff(func_def_7,type,
cOMBB_238756964t_bool: fun_fu1360099227l_bool ).
tff(func_def_8,type,
cOMBB_188601460_state: fun_fu1873708859l_bool ).
tff(func_def_9,type,
cOMBB_1960865690iple_a: fun_fu1181695983l_bool ).
tff(func_def_10,type,
cOMBB_242064253_state: fun_fu204765059l_bool ).
tff(func_def_11,type,
cOMBB_1015721476ol_nat: fun_fu1849968923l_bool ).
tff(func_def_12,type,
cOMBB_444170502t_bool: fun_fu1454296643l_bool ).
tff(func_def_13,type,
cOMBB_800536526ol_nat: fun_fu687803393t_bool ).
tff(func_def_14,type,
cOMBB_237455441bool_a: fun_fu257852021e_bool ).
tff(func_def_15,type,
cOMBB_572666224_state: fun_fu1807063587e_bool ).
tff(func_def_16,type,
cOMBB_1355796797bool_a: fun_fu1340893257l_bool ).
tff(func_def_17,type,
cOMBB_1759179140_state: fun_fu960651291l_bool ).
tff(func_def_18,type,
cOMBB_2139825703bool_a: fun_fu817723125e_bool ).
tff(func_def_19,type,
cOMBB_1941618714_state: fun_fu2086781859e_bool ).
tff(func_def_20,type,
cOMBB_1348041619bool_a: fun_fu1860059197e_bool ).
tff(func_def_21,type,
cOMBB_1757942702_state: fun_fu620092349e_bool ).
tff(func_def_22,type,
cOMBB_145932198bool_a: fun_fu1631777789e_bool ).
tff(func_def_23,type,
cOMBB_1474127043iple_a: fun_fu1132583599a_bool ).
tff(func_def_24,type,
cOMBB_958433249iple_a: fun_fu2123829857a_bool ).
tff(func_def_25,type,
cOMBB_1380679615_state: fun_fu984131467e_bool ).
tff(func_def_26,type,
cOMBB_107478263_state: fun_fu991462475e_bool ).
tff(func_def_27,type,
cOMBB_955900739ol_nat: fun_fu1402718723t_bool ).
tff(func_def_28,type,
cOMBB_1654519265ol_nat: fun_fu1738364513t_bool ).
tff(func_def_29,type,
cOMBC_41962815e_bool: fun_fu222103665e_bool ).
tff(func_def_30,type,
cOMBC_524597097e_bool: fun_fu1009378087e_bool ).
tff(func_def_31,type,
cOMBC_892787026e_bool: fun_fu734682033e_bool ).
tff(func_def_32,type,
cOMBC_2027030106e_bool: fun_fu402792811e_bool ).
tff(func_def_33,type,
cOMBC_1193272608_state: fun_fu1067796093_state ).
tff(func_def_34,type,
cOMBC_231445413l_bool: fun_fu1219323149e_bool ).
tff(func_def_35,type,
cOMBC_471052088e_bool: fun_fu13754701e_bool ).
tff(func_def_36,type,
cOMBC_1777403949_state: fun_fu311321661_state ).
tff(func_def_37,type,
cOMBC_867582640e_bool: fun_fu675440535e_bool ).
tff(func_def_38,type,
cOMBC_827727450a_bool: fun_fu36510979a_bool ).
tff(func_def_39,type,
cOMBC_1807206788l_bool: fun_fu1184349593a_bool ).
tff(func_def_40,type,
cOMBC_894585277a_bool: fun_fu1749506137a_bool ).
tff(func_def_41,type,
cOMBC_1972244470e_bool: fun_fu302189515e_bool ).
tff(func_def_42,type,
cOMBC_1099403170l_bool: fun_fu1067265135e_bool ).
tff(func_def_43,type,
cOMBC_483615668e_bool: fun_fu349737825e_bool ).
tff(func_def_44,type,
cOMBC_nat_nat_bool: fun_fu1733046955t_bool ).
tff(func_def_45,type,
cOMBC_226598744l_bool: fun_fu80187629t_bool ).
tff(func_def_46,type,
cOMBC_178881787t_bool: fun_fu1538037805t_bool ).
tff(func_def_47,type,
cOMBC_1385723501a_bool: fun_fu70927933a_bool ).
tff(func_def_48,type,
cOMBC_1168545212e_bool: fun_fu2079320957e_bool ).
tff(func_def_49,type,
cOMBC_1693257480l_bool: fun_fu820922699l_bool ).
tff(func_def_50,type,
cOMBC_646315179t_bool: fun_fu257437713t_bool ).
tff(func_def_51,type,
cOMBC_1245412066l_bool: fun_fu502475293l_bool ).
tff(func_def_52,type,
cOMBI_1396158237iple_a: fun_Ho1275796541iple_a ).
tff(func_def_53,type,
cOMBI_227521594_state: fun_Ho1455141843_state ).
tff(func_def_54,type,
cOMBI_nat: fun_nat_nat ).
tff(func_def_55,type,
cOMBK_bool_state: fun_bo1936561970e_bool ).
tff(func_def_56,type,
cOMBK_329760839iple_a: fun_bo873159128a_bool ).
tff(func_def_57,type,
cOMBK_2086958736_state: fun_bo221168653e_bool ).
tff(func_def_58,type,
cOMBK_bool_nat: fun_bo1570548802t_bool ).
tff(func_def_59,type,
cOMBK_1994329625t_bool: fun_bo45372054l_bool ).
tff(func_def_60,type,
cOMBK_1156021774iple_a: fun_Ho115022426iple_a ).
tff(func_def_61,type,
cOMBK_875269129_state: fun_Ho316875795iple_a ).
tff(func_def_62,type,
cOMBK_830162040_a_nat: fun_Ho480463728iple_a ).
tff(func_def_63,type,
cOMBK_718351789iple_a: fun_Ho1675781772_state ).
tff(func_def_64,type,
cOMBK_477315498_state: fun_Ho784854669_state ).
tff(func_def_65,type,
cOMBK_1122917412iple_a: fun_na1678609370_a_nat ).
tff(func_def_66,type,
cOMBK_809880179_state: fun_na913373671te_nat ).
tff(func_def_67,type,
cOMBK_nat_nat: fun_nat_fun_nat_nat ).
tff(func_def_68,type,
cOMBK_1458035955bool_a: fun_fu281355805e_bool ).
tff(func_def_69,type,
cOMBK_631994958_state: fun_fu1998731480e_bool ).
tff(func_def_70,type,
cOMBS_1378840469l_bool: fun_fu1047394976e_bool ).
tff(func_def_71,type,
cOMBS_777315357_state: fun_fu227828410_state ).
tff(func_def_72,type,
cOMBS_523298619l_bool: fun_fu429465874a_bool ).
tff(func_def_73,type,
cOMBS_896408300l_bool: fun_fu1856979029e_bool ).
tff(func_def_74,type,
cOMBS_nat_bool_bool: fun_fu1901564496t_bool ).
tff(func_def_75,type,
cOMBS_1187019125l_bool: fun_fu898693662l_bool ).
tff(func_def_76,type,
ass: ( fun_state_nat * vname ) > com ).
tff(func_def_77,type,
local: ( com * ( fun_state_nat * loc ) ) > com ).
tff(func_def_78,type,
skip: com ).
tff(func_def_79,type,
semi: ( com * com ) > com ).
tff(func_def_80,type,
glb_1: glb > vname ).
tff(func_def_81,type,
loc_1: loc > vname ).
tff(func_def_82,type,
finite531755217iple_a: fun_Ho115022426iple_a > bool ).
tff(func_def_83,type,
finite701293802a_bool: fun_Ho611385006a_bool > bool ).
tff(func_def_84,type,
finite1936929544e_bool: fun_Ho1110608055e_bool > bool ).
tff(func_def_85,type,
finite1956789438t_bool: fun_na35521688t_bool > bool ).
tff(func_def_86,type,
finite1833138547iple_a: fun_fu1441721944l_bool ).
tff(func_def_87,type,
finite1792194148_state: fun_fu689207471l_bool ).
tff(func_def_88,type,
finite_finite_nat: fun_fu425979586l_bool ).
tff(func_def_89,type,
finite2012431853t_bool: fun_fu814369080l_bool ).
tff(func_def_90,type,
finite1715754352iple_a: ( fun_Ho287446294a_bool * fun_Ho115022426iple_a ) > fun_Ho287446294a_bool ).
tff(func_def_91,type,
finite1016865319_state: ( fun_Ho1996104121e_bool * fun_Ho784854669_state ) > fun_Ho1996104121e_bool ).
tff(func_def_92,type,
finite_fold1Set_nat: ( fun_nat_bool * fun_nat_fun_nat_nat ) > fun_nat_bool ).
tff(func_def_93,type,
finite1560330752iple_a: fun_Ho115022426iple_a > fun_fu1634330235iple_a ).
tff(func_def_94,type,
finite206258583_state: fun_Ho784854669_state > fun_fu385705929_state ).
tff(func_def_95,type,
finite_fold1_nat: fun_nat_fun_nat_nat > fun_fun_nat_bool_nat ).
tff(func_def_96,type,
finite309585736iple_a: ( hoare_1544627872iple_a * fun_Ho115022426iple_a ) > fun_fu1634330235iple_a ).
tff(func_def_97,type,
finite113656430a_bool: ( fun_Ho287446294a_bool * fun_Ho611385006a_bool ) > fun_fu410471825a_bool ).
tff(func_def_98,type,
finite2136361956_state: ( hoare_1875481847_state * fun_Ho784854669_state ) > fun_fu385705929_state ).
tff(func_def_99,type,
finite1131674252e_bool: ( fun_Ho1996104121e_bool * fun_Ho1110608055e_bool ) > fun_fu1296727421e_bool ).
tff(func_def_100,type,
finite_fold_nat_nat: ( nat * fun_nat_fun_nat_nat ) > fun_fun_nat_bool_nat ).
tff(func_def_101,type,
finite1578363458t_bool: ( fun_nat_bool * fun_na35521688t_bool ) > fun_fu821463397t_bool ).
tff(func_def_102,type,
finite1341991622iple_a: ( fun_Ho287446294a_bool * ( hoare_1544627872iple_a * fun_Ho115022426iple_a ) ) > fun_Ho287446294a_bool ).
tff(func_def_103,type,
finite1721989730_state: ( fun_Ho1996104121e_bool * ( hoare_1875481847_state * fun_Ho784854669_state ) ) > fun_Ho1996104121e_bool ).
tff(func_def_104,type,
finite929467206at_nat: ( fun_nat_bool * ( nat * fun_nat_fun_nat_nat ) ) > fun_nat_bool ).
tff(func_def_105,type,
finite1847914781iple_a: ( fun_fu1634330235iple_a * fun_Ho115022426iple_a ) > bool ).
tff(func_def_106,type,
finite1782051386_state: ( fun_fu385705929_state * fun_Ho784854669_state ) > bool ).
tff(func_def_107,type,
finite988810631ne_nat: ( fun_fun_nat_bool_nat * fun_nat_fun_nat_nat ) > bool ).
tff(func_def_108,type,
finite1127948314iple_a: ( fun_fu1634330235iple_a * fun_Ho115022426iple_a ) > bool ).
tff(func_def_109,type,
finite1514162941_state: ( fun_fu385705929_state * fun_Ho784854669_state ) > bool ).
tff(func_def_110,type,
finite795500164em_nat: ( fun_fun_nat_bool_nat * fun_nat_fun_nat_nat ) > bool ).
tff(func_def_111,type,
minus_1054521797a_bool: fun_fu601883884a_bool ).
tff(func_def_112,type,
minus_589155914e_bool: fun_fu947547457e_bool ).
tff(func_def_113,type,
minus_2067140911t_bool: fun_fu915923926t_bool ).
tff(func_def_114,type,
times_times_nat: fun_nat_fun_nat_nat ).
tff(func_def_115,type,
the_Ho924576593iple_a: fun_fu1634330235iple_a ).
tff(func_def_116,type,
the_Ho1017792262_state: fun_fu385705929_state ).
tff(func_def_117,type,
the_nat: fun_fun_nat_bool_nat ).
tff(func_def_118,type,
hoare_Mirabelle_MGT: com > hoare_1875481847_state ).
tff(func_def_119,type,
hoare_1546678894rivs_a: fun_Ho287446294a_bool > fun_fu1441721944l_bool ).
tff(func_def_120,type,
hoare_2131502867_state: fun_Ho1996104121e_bool > fun_fu689207471l_bool ).
tff(func_def_121,type,
hoare_196563068iple_a: ( fun_a_fun_state_bool * ( com * fun_a_fun_state_bool ) ) > hoare_1544627872iple_a ).
tff(func_def_122,type,
hoare_13225861_state: ( fun_st1506752259e_bool * ( com * fun_st1506752259e_bool ) ) > hoare_1875481847_state ).
tff(func_def_123,type,
hoare_1500711466alid_a: nat > fun_Ho287446294a_bool ).
tff(func_def_124,type,
hoare_2065208407_state: nat > fun_Ho1996104121e_bool ).
tff(func_def_125,type,
semila310582991f_bool: fun_bo1549164019l_bool ).
tff(func_def_126,type,
semila80283416nf_nat: fun_nat_fun_nat_nat ).
tff(func_def_127,type,
semila1256126856a_bool: fun_fu601883884a_bool ).
tff(func_def_128,type,
semila657954503e_bool: fun_fu947547457e_bool ).
tff(func_def_129,type,
semila840543986t_bool: fun_fu915923926t_bool ).
tff(func_def_130,type,
semila1168014441p_bool: fun_bo1549164019l_bool ).
tff(func_def_131,type,
semila972727038up_nat: fun_nat_fun_nat_nat ).
tff(func_def_132,type,
semila2083752482a_bool: fun_fu601883884a_bool ).
tff(func_def_133,type,
semila1107643821e_bool: fun_fu947547457e_bool ).
tff(func_def_134,type,
semila465093516t_bool: fun_fu915923926t_bool ).
tff(func_def_135,type,
evalc: com > fun_st1506752259e_bool ).
tff(func_def_136,type,
evaln: ( state * ( nat * ( state * com ) ) ) > bool ).
tff(func_def_137,type,
getlocs: ( loc * state ) > nat ).
tff(func_def_138,type,
update: fun_st1816159843_state ).
tff(func_def_139,type,
bot_bot_bool: bool ).
tff(func_def_140,type,
bot_bot_nat: nat ).
tff(func_def_141,type,
bot_bo1766443648a_bool: fun_Ho287446294a_bool ).
tff(func_def_142,type,
bot_bo1715400655e_bool: fun_Ho1996104121e_bool ).
tff(func_def_143,type,
bot_bot_fun_nat_bool: fun_nat_bool ).
tff(func_def_144,type,
bot_bo1701429464l_bool: fun_fu425979586l_bool ).
tff(func_def_145,type,
ord_less_eq_bool: fun_bo1549164019l_bool ).
tff(func_def_146,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(func_def_147,type,
ord_le345502796a_bool: fun_fu629000755l_bool ).
tff(func_def_148,type,
ord_le233469699e_bool: fun_fu1173762305l_bool ).
tff(func_def_149,type,
ord_le1568362934t_bool: fun_fu1217155507l_bool ).
tff(func_def_150,type,
partia2044047638iple_a: hoare_1544627872iple_a > fun_fu1634330235iple_a ).
tff(func_def_151,type,
partia1423322881_state: hoare_1875481847_state > fun_fu385705929_state ).
tff(func_def_152,type,
partial_flat_lub_nat: nat > fun_fun_nat_bool_nat ).
tff(func_def_153,type,
collec445968053iple_a: fun_Ho287446294a_bool > fun_Ho287446294a_bool ).
tff(func_def_154,type,
collec1735317154_state: fun_Ho1996104121e_bool > fun_Ho1996104121e_bool ).
tff(func_def_155,type,
collect_nat: fun_nat_bool > fun_nat_bool ).
tff(func_def_156,type,
collect_fun_nat_bool: fun_fu425979586l_bool > fun_fu425979586l_bool ).
tff(func_def_157,type,
image_1784540805iple_a: ( fun_Ho287446294a_bool * fun_Ho1275796541iple_a ) > fun_Ho287446294a_bool ).
tff(func_def_158,type,
image_456807122_state: ( fun_Ho287446294a_bool * fun_Ho1528294576_state ) > fun_Ho1996104121e_bool ).
tff(func_def_159,type,
image_1667308271_a_nat: ( fun_Ho287446294a_bool * fun_Ho753038759_a_nat ) > fun_nat_bool ).
tff(func_def_160,type,
image_299889782iple_a: ( fun_Ho1996104121e_bool * fun_Ho1202345178iple_a ) > fun_Ho287446294a_bool ).
tff(func_def_161,type,
image_436941729_state: ( fun_Ho1996104121e_bool * fun_Ho1455141843_state ) > fun_Ho1996104121e_bool ).
tff(func_def_162,type,
image_1722141408te_nat: ( fun_Ho1996104121e_bool * fun_Ho1284378692te_nat ) > fun_nat_bool ).
tff(func_def_163,type,
image_1960063643iple_a: ( fun_nat_bool * fun_na98436179iple_a ) > fun_Ho287446294a_bool ).
tff(func_def_164,type,
image_681421628_state: ( fun_nat_bool * fun_na1612816666_state ) > fun_Ho1996104121e_bool ).
tff(func_def_165,type,
image_nat_nat: ( fun_nat_bool * fun_nat_nat ) > fun_nat_bool ).
tff(func_def_166,type,
insert1051021594iple_a: fun_Ho611385006a_bool ).
tff(func_def_167,type,
insert694999549_state: fun_Ho1110608055e_bool ).
tff(func_def_168,type,
insert_nat: fun_na35521688t_bool ).
tff(func_def_169,type,
insert_fun_nat_bool: fun_fu1516990510l_bool ).
tff(func_def_170,type,
the_el1614276927iple_a: fun_fu1634330235iple_a ).
tff(func_def_171,type,
the_el1031305112_state: fun_fu385705929_state ).
tff(func_def_172,type,
the_elem_nat: fun_fun_nat_bool_nat ).
tff(func_def_173,type,
fFalse: bool ).
tff(func_def_174,type,
fNot: fun_bool_bool ).
tff(func_def_175,type,
fTrue: bool ).
tff(func_def_176,type,
fconj: fun_bo1549164019l_bool ).
tff(func_def_177,type,
fdisj: fun_bo1549164019l_bool ).
tff(func_def_178,type,
fequal_state: fun_st1506752259e_bool ).
tff(func_def_179,type,
fequal1057774495iple_a: fun_Ho965678415a_bool ).
tff(func_def_180,type,
fequal391417144_state: fun_Ho1695028467e_bool ).
tff(func_def_181,type,
fequal_nat: fun_nat_fun_nat_bool ).
tff(func_def_182,type,
fequal1843628375a_bool: fun_fu629000755l_bool ).
tff(func_def_183,type,
fequal259518520e_bool: fun_fu1173762305l_bool ).
tff(func_def_184,type,
fequal_fun_nat_bool: fun_fu1217155507l_bool ).
tff(func_def_185,type,
fimplies: fun_bo1549164019l_bool ).
tff(func_def_186,type,
hAPP_a2036067514e_bool: ( x_a * fun_a_fun_state_bool ) > fun_state_bool ).
tff(func_def_187,type,
hAPP_a849909144l_bool: ( x_a * fun_a_1632297036l_bool ) > fun_st2063251938l_bool ).
tff(func_def_188,type,
hAPP_a723219176e_bool: ( x_a * fun_a_998512028e_bool ) > fun_bo1936561970e_bool ).
tff(func_def_189,type,
hAPP_a1224971408e_bool: ( x_a * fun_a_340690546e_bool ) > fun_fu78956742e_bool ).
tff(func_def_190,type,
hAPP_a1200519163e_bool: ( x_a * fun_a_2117018159e_bool ) > fun_fu373216837e_bool ).
tff(func_def_191,type,
hAPP_state_state: ( state * fun_state_state ) > state ).
tff(func_def_192,type,
hAPP_state_bool: ( state * fun_state_bool ) > bool ).
tff(func_def_193,type,
hAPP_state_nat: ( state * fun_state_nat ) > nat ).
tff(func_def_194,type,
hAPP_s1806633685e_bool: ( state * fun_st1506752259e_bool ) > fun_state_bool ).
tff(func_def_195,type,
hAPP_s2001034685l_bool: ( state * fun_st2116860965l_bool ) > fun_st2063251938l_bool ).
tff(func_def_196,type,
hAPP_s712361723_state: ( state * fun_st1816159843_state ) > fun_vn774578976_state ).
tff(func_def_197,type,
hAPP_s58564346l_bool: ( state * fun_st2063251938l_bool ) > fun_bool_bool ).
tff(func_def_198,type,
hAPP_s1874344717e_bool: ( state * fun_st1483075957e_bool ) > fun_bo1936561970e_bool ).
tff(func_def_199,type,
hAPP_s1892499976_state: ( state * fun_st2072884720_state ) > fun_nat_state ).
tff(func_def_200,type,
hAPP_s286259371e_bool: ( state * fun_st623980505e_bool ) > fun_fu78956742e_bool ).
tff(func_def_201,type,
hAPP_v365393659_state: ( vname * fun_vn299216483_state ) > fun_st2072884720_state ).
tff(func_def_202,type,
hAPP_v594194232_state: ( vname * fun_vn774578976_state ) > fun_nat_state ).
tff(func_def_203,type,
hAPP_bool_bool: ( bool * fun_bool_bool ) > bool ).
tff(func_def_204,type,
hAPP_b540892988e_bool: ( bool * fun_bo675861616e_bool ) > fun_a_fun_state_bool ).
tff(func_def_205,type,
hAPP_b2019457360e_bool: ( bool * fun_bo1936561970e_bool ) > fun_state_bool ).
tff(func_def_206,type,
hAPP_b1095269219e_bool: ( bool * fun_bo898473669e_bool ) > fun_st1506752259e_bool ).
tff(func_def_207,type,
hAPP_b589554111l_bool: ( bool * fun_bo1549164019l_bool ) > fun_bool_bool ).
tff(func_def_208,type,
hAPP_b704538998a_bool: ( bool * fun_bo873159128a_bool ) > fun_Ho287446294a_bool ).
tff(func_def_209,type,
hAPP_b1906038105e_bool: ( bool * fun_bo221168653e_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_210,type,
hAPP_b1013836512t_bool: ( bool * fun_bo1570548802t_bool ) > fun_nat_bool ).
tff(func_def_211,type,
hAPP_b1630757474l_bool: ( bool * fun_bo45372054l_bool ) > fun_fu425979586l_bool ).
tff(func_def_212,type,
hAPP_H2006434664a_bool: ( hoare_1544627872iple_a * fun_Ho287446294a_bool ) > bool ).
tff(func_def_213,type,
hAPP_H9461717iple_a: ( hoare_1544627872iple_a * fun_Ho1275796541iple_a ) > hoare_1544627872iple_a ).
tff(func_def_214,type,
hAPP_H1928101250_state: ( hoare_1544627872iple_a * fun_Ho1528294576_state ) > hoare_1875481847_state ).
tff(func_def_215,type,
hAPP_H63220799_a_nat: ( hoare_1544627872iple_a * fun_Ho753038759_a_nat ) > nat ).
tff(func_def_216,type,
hAPP_H320345684l_bool: ( hoare_1544627872iple_a * fun_Ho1937021500l_bool ) > fun_bool_bool ).
tff(func_def_217,type,
hAPP_H1472549281a_bool: ( hoare_1544627872iple_a * fun_Ho965678415a_bool ) > fun_Ho287446294a_bool ).
tff(func_def_218,type,
hAPP_H1988213490iple_a: ( hoare_1544627872iple_a * fun_Ho115022426iple_a ) > fun_Ho1275796541iple_a ).
tff(func_def_219,type,
hAPP_H180680677iple_a: ( hoare_1544627872iple_a * fun_Ho316875795iple_a ) > fun_Ho1202345178iple_a ).
tff(func_def_220,type,
hAPP_H325842184iple_a: ( hoare_1544627872iple_a * fun_Ho480463728iple_a ) > fun_na98436179iple_a ).
tff(func_def_221,type,
hAPP_H736103437l_bool: ( hoare_1544627872iple_a * fun_Ho448013557l_bool ) > fun_fu1441721944l_bool ).
tff(func_def_222,type,
hAPP_H762155206a_bool: ( hoare_1544627872iple_a * fun_Ho611385006a_bool ) > fun_fu410471825a_bool ).
tff(func_def_223,type,
hAPP_H1173941847e_bool: ( hoare_1875481847_state * fun_Ho1996104121e_bool ) > bool ).
tff(func_def_224,type,
hAPP_H1771183910iple_a: ( hoare_1875481847_state * fun_Ho1202345178iple_a ) > hoare_1544627872iple_a ).
tff(func_def_225,type,
hAPP_H350317809_state: ( hoare_1875481847_state * fun_Ho1455141843_state ) > hoare_1875481847_state ).
tff(func_def_226,type,
hAPP_H1027528080te_nat: ( hoare_1875481847_state * fun_Ho1284378692te_nat ) > nat ).
tff(func_def_227,type,
hAPP_H377399461l_bool: ( hoare_1875481847_state * fun_Ho1896286681l_bool ) > fun_bool_bool ).
tff(func_def_228,type,
hAPP_H296470442_state: ( hoare_1875481847_state * fun_Ho1675781772_state ) > fun_Ho1528294576_state ).
tff(func_def_229,type,
hAPP_H117293375e_bool: ( hoare_1875481847_state * fun_Ho1695028467e_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_230,type,
hAPP_H743221337_state: ( hoare_1875481847_state * fun_Ho784854669_state ) > fun_Ho1455141843_state ).
tff(func_def_231,type,
hAPP_H810811817l_bool: ( hoare_1875481847_state * fun_Ho1085560331l_bool ) > fun_fu689207471l_bool ).
tff(func_def_232,type,
hAPP_H1625489667e_bool: ( hoare_1875481847_state * fun_Ho1110608055e_bool ) > fun_fu1296727421e_bool ).
tff(func_def_233,type,
hAPP_nat_state: ( nat * fun_nat_state ) > state ).
tff(func_def_234,type,
hAPP_nat_bool: ( nat * fun_nat_bool ) > bool ).
tff(func_def_235,type,
hAPP_n355976171iple_a: ( nat * fun_na98436179iple_a ) > hoare_1544627872iple_a ).
tff(func_def_236,type,
hAPP_n2134291948_state: ( nat * fun_na1612816666_state ) > hoare_1875481847_state ).
tff(func_def_237,type,
hAPP_nat_nat: ( nat * fun_nat_nat ) > nat ).
tff(func_def_238,type,
hAPP_n1547241352_state: ( nat * fun_na810848752_state ) > fun_state_state ).
tff(func_def_239,type,
hAPP_n1006566506l_bool: ( nat * fun_na1469252690l_bool ) > fun_bool_bool ).
tff(func_def_240,type,
hAPP_n1125129074_a_nat: ( nat * fun_na1678609370_a_nat ) > fun_Ho753038759_a_nat ).
tff(func_def_241,type,
hAPP_n747866297te_nat: ( nat * fun_na913373671te_nat ) > fun_Ho1284378692te_nat ).
tff(func_def_242,type,
hAPP_n1699378549t_bool: ( nat * fun_nat_fun_nat_bool ) > fun_nat_bool ).
tff(func_def_243,type,
hAPP_nat_fun_nat_nat: ( nat * fun_nat_fun_nat_nat ) > fun_nat_nat ).
tff(func_def_244,type,
hAPP_n215258509l_bool: ( nat * fun_na1436237685l_bool ) > fun_fu425979586l_bool ).
tff(func_def_245,type,
hAPP_n1512601776t_bool: ( nat * fun_na35521688t_bool ) > fun_fu821463397t_bool ).
tff(func_def_246,type,
hAPP_f769584981e_bool: ( fun_a_fun_state_bool * fun_fu1740061501e_bool ) > fun_a_fun_state_bool ).
tff(func_def_247,type,
hAPP_f1509969235l_bool: ( fun_a_fun_state_bool * fun_fu2118559873l_bool ) > fun_a_1632297036l_bool ).
tff(func_def_248,type,
hAPP_f1406200875e_bool: ( fun_a_fun_state_bool * fun_fu278206227e_bool ) > fun_a_340690546e_bool ).
tff(func_def_249,type,
hAPP_f340725611e_bool: ( fun_a_1632297036l_bool * fun_fu1591723597e_bool ) > fun_a_998512028e_bool ).
tff(func_def_250,type,
hAPP_f963367678e_bool: ( fun_a_1632297036l_bool * fun_fu2008829792e_bool ) > fun_a_2117018159e_bool ).
tff(func_def_251,type,
hAPP_f1824947087e_bool: ( fun_a_998512028e_bool * fun_fu222103665e_bool ) > fun_bo675861616e_bool ).
tff(func_def_252,type,
hAPP_f1460451647e_bool: ( fun_a_340690546e_bool * fun_fu1009378087e_bool ) > fun_fu796809180e_bool ).
tff(func_def_253,type,
hAPP_f1261923407e_bool: ( fun_a_2117018159e_bool * fun_fu734682033e_bool ) > fun_fu281355805e_bool ).
tff(func_def_254,type,
hAPP_f100967412e_bool: ( fun_state_state * fun_fu796809180e_bool ) > fun_a_fun_state_bool ).
tff(func_def_255,type,
hAPP_f746301080e_bool: ( fun_state_state * fun_fu78956742e_bool ) > fun_state_bool ).
tff(func_def_256,type,
hAPP_f1838002347e_bool: ( fun_state_state * fun_fu1943159897e_bool ) > fun_st1506752259e_bool ).
tff(func_def_257,type,
hAPP_f762886889e_bool: ( fun_state_bool * fun_fu281355805e_bool ) > fun_a_fun_state_bool ).
tff(func_def_258,type,
hAPP_f1759915619e_bool: ( fun_state_bool * fun_fu373216837e_bool ) > fun_state_bool ).
tff(func_def_259,type,
hAPP_f1863945078e_bool: ( fun_state_bool * fun_fu1998731480e_bool ) > fun_st1506752259e_bool ).
tff(func_def_260,type,
hAPP_f1259673775l_bool: ( fun_state_bool * fun_fu1658206819l_bool ) > fun_st2063251938l_bool ).
tff(func_def_261,type,
hAPP_f162060345e_bool: ( fun_state_bool * fun_fu2127278875e_bool ) > fun_fu78956742e_bool ).
tff(func_def_262,type,
hAPP_f871651461_state: ( fun_state_nat * fun_fu978939117_state ) > fun_state_state ).
tff(func_def_263,type,
hAPP_f817621513e_bool: ( fun_st1506752259e_bool * fun_fu402792811e_bool ) > fun_st1506752259e_bool ).
tff(func_def_264,type,
hAPP_f1283379615l_bool: ( fun_st1506752259e_bool * fun_fu1982748883l_bool ) > fun_st2116860965l_bool ).
tff(func_def_265,type,
hAPP_f289738463e_bool: ( fun_st1506752259e_bool * fun_fu222624065e_bool ) > fun_st623980505e_bool ).
tff(func_def_266,type,
hAPP_f873506917e_bool: ( fun_st2116860965l_bool * fun_fu1454697805e_bool ) > fun_st1483075957e_bool ).
tff(func_def_267,type,
hAPP_f1542232213_state: ( fun_st1816159843_state * fun_fu1067796093_state ) > fun_vn299216483_state ).
tff(func_def_268,type,
hAPP_f167292325e_bool: ( fun_st2063251938l_bool * fun_fu1219323149e_bool ) > fun_bo1936561970e_bool ).
tff(func_def_269,type,
hAPP_f644196280e_bool: ( fun_st2063251938l_bool * fun_fu1047394976e_bool ) > fun_fu373216837e_bool ).
tff(func_def_270,type,
hAPP_f701449317e_bool: ( fun_st1483075957e_bool * fun_fu13754701e_bool ) > fun_bo898473669e_bool ).
tff(func_def_271,type,
hAPP_f1848060885_state: ( fun_st2072884720_state * fun_fu311321661_state ) > fun_na810848752_state ).
tff(func_def_272,type,
hAPP_f851239890_state: ( fun_st2072884720_state * fun_fu227828410_state ) > fun_fu978939117_state ).
tff(func_def_273,type,
hAPP_f1706273077e_bool: ( fun_st623980505e_bool * fun_fu675440535e_bool ) > fun_fu1943159897e_bool ).
tff(func_def_274,type,
hAPP_f2073279419e_bool: ( fun_bool_bool * fun_fu88048803e_bool ) > fun_fu373216837e_bool ).
tff(func_def_275,type,
hAPP_f1524052231a_bool: ( fun_bool_bool * fun_fu796044527a_bool ) > fun_fu410471825a_bool ).
tff(func_def_276,type,
hAPP_f263911411e_bool: ( fun_bool_bool * fun_fu10608219e_bool ) > fun_fu1296727421e_bool ).
tff(func_def_277,type,
hAPP_f894608603t_bool: ( fun_bool_bool * fun_fu1509210819t_bool ) > fun_fu821463397t_bool ).
tff(func_def_278,type,
hAPP_f1164891443l_bool: ( fun_bool_bool * fun_fu1360099227l_bool ) > fun_fu616551101l_bool ).
tff(func_def_279,type,
hAPP_f1561913689l_bool: ( fun_bo1549164019l_bool * fun_fu1873708859l_bool ) > fun_fu1658206819l_bool ).
tff(func_def_280,type,
hAPP_f11333901l_bool: ( fun_bo1549164019l_bool * fun_fu1181695983l_bool ) > fun_fu1965278231l_bool ).
tff(func_def_281,type,
hAPP_f1158435105l_bool: ( fun_bo1549164019l_bool * fun_fu204765059l_bool ) > fun_fu811519275l_bool ).
tff(func_def_282,type,
hAPP_f1080886329l_bool: ( fun_bo1549164019l_bool * fun_fu1849968923l_bool ) > fun_fu2104074051l_bool ).
tff(func_def_283,type,
hAPP_f857404385l_bool: ( fun_bo1549164019l_bool * fun_fu1454296643l_bool ) > fun_fu24963051l_bool ).
tff(func_def_284,type,
hAPP_f2063540982l_bool: ( fun_Ho287446294a_bool * fun_fu1441721944l_bool ) > bool ).
tff(func_def_285,type,
hAPP_f1853245639iple_a: ( fun_Ho287446294a_bool * fun_fu1634330235iple_a ) > hoare_1544627872iple_a ).
tff(func_def_286,type,
hAPP_f909437487a_bool: ( fun_Ho287446294a_bool * fun_fu410471825a_bool ) > fun_Ho287446294a_bool ).
tff(func_def_287,type,
hAPP_f224574947l_bool: ( fun_Ho287446294a_bool * fun_fu1965278231l_bool ) > fun_Ho1937021500l_bool ).
tff(func_def_288,type,
hAPP_f693853672a_bool: ( fun_Ho287446294a_bool * fun_fu605018442a_bool ) > fun_Ho965678415a_bool ).
tff(func_def_289,type,
hAPP_f1876759039l_bool: ( fun_Ho287446294a_bool * fun_fu629000755l_bool ) > fun_fu1441721944l_bool ).
tff(func_def_290,type,
hAPP_f439328184a_bool: ( fun_Ho287446294a_bool * fun_fu601883884a_bool ) > fun_fu410471825a_bool ).
tff(func_def_291,type,
hAPP_f1099051562a_bool: ( fun_Ho1937021500l_bool * fun_fu429465874a_bool ) > fun_fu410471825a_bool ).
tff(func_def_292,type,
hAPP_f1726109544a_bool: ( fun_Ho965678415a_bool * fun_fu312520138a_bool ) > fun_Ho287446294a_bool ).
tff(func_def_293,type,
hAPP_f1878404769a_bool: ( fun_Ho965678415a_bool * fun_fu36510979a_bool ) > fun_Ho965678415a_bool ).
tff(func_def_294,type,
hAPP_f915134428a_bool: ( fun_Ho965678415a_bool * fun_fu1651165456a_bool ) > fun_Ho611385006a_bool ).
tff(func_def_295,type,
hAPP_f482270129a_bool: ( fun_Ho448013557l_bool * fun_fu1184349593a_bool ) > fun_fu410471825a_bool ).
tff(func_def_296,type,
hAPP_f1399402097a_bool: ( fun_Ho611385006a_bool * fun_fu1749506137a_bool ) > fun_fu605018442a_bool ).
tff(func_def_297,type,
hAPP_f1408815105l_bool: ( fun_Ho1996104121e_bool * fun_fu689207471l_bool ) > bool ).
tff(func_def_298,type,
hAPP_f890249627_state: ( fun_Ho1996104121e_bool * fun_fu385705929_state ) > hoare_1875481847_state ).
tff(func_def_299,type,
hAPP_f121055253e_bool: ( fun_Ho1996104121e_bool * fun_fu1296727421e_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_300,type,
hAPP_f932622461l_bool: ( fun_Ho1996104121e_bool * fun_fu811519275l_bool ) > fun_Ho1896286681l_bool ).
tff(func_def_301,type,
hAPP_f56162711e_bool: ( fun_Ho1996104121e_bool * fun_fu775812037e_bool ) > fun_Ho1695028467e_bool ).
tff(func_def_302,type,
hAPP_f1873026899l_bool: ( fun_Ho1996104121e_bool * fun_fu1173762305l_bool ) > fun_fu689207471l_bool ).
tff(func_def_303,type,
hAPP_f1204759513e_bool: ( fun_Ho1996104121e_bool * fun_fu947547457e_bool ) > fun_fu1296727421e_bool ).
tff(func_def_304,type,
hAPP_f1300953505e_bool: ( fun_Ho1896286681l_bool * fun_fu1856979029e_bool ) > fun_fu1296727421e_bool ).
tff(func_def_305,type,
hAPP_f169892419e_bool: ( fun_Ho1695028467e_bool * fun_fu572183031e_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_306,type,
hAPP_f2101312745e_bool: ( fun_Ho1695028467e_bool * fun_fu302189515e_bool ) > fun_Ho1695028467e_bool ).
tff(func_def_307,type,
hAPP_f1821865133e_bool: ( fun_Ho1695028467e_bool * fun_fu1771441039e_bool ) > fun_Ho1110608055e_bool ).
tff(func_def_308,type,
hAPP_f1795624711e_bool: ( fun_Ho1085560331l_bool * fun_fu1067265135e_bool ) > fun_fu1296727421e_bool ).
tff(func_def_309,type,
hAPP_f392546175e_bool: ( fun_Ho1110608055e_bool * fun_fu349737825e_bool ) > fun_fu775812037e_bool ).
tff(func_def_310,type,
hAPP_f54304608l_bool: ( fun_nat_bool * fun_fu425979586l_bool ) > bool ).
tff(func_def_311,type,
hAPP_f22106695ol_nat: ( fun_nat_bool * fun_fun_nat_bool_nat ) > nat ).
tff(func_def_312,type,
hAPP_f1748468828l_bool: ( fun_nat_bool * fun_fu1016514960l_bool ) > fun_bool_bool ).
tff(func_def_313,type,
hAPP_f800510211t_bool: ( fun_nat_bool * fun_fu821463397t_bool ) > fun_nat_bool ).
tff(func_def_314,type,
hAPP_f1146629647l_bool: ( fun_nat_bool * fun_fu2104074051l_bool ) > fun_na1469252690l_bool ).
tff(func_def_315,type,
hAPP_f1570313510t_bool: ( fun_nat_bool * fun_fu429110920t_bool ) > fun_nat_fun_nat_bool ).
tff(func_def_316,type,
hAPP_f103356543l_bool: ( fun_nat_bool * fun_fu1217155507l_bool ) > fun_fu425979586l_bool ).
tff(func_def_317,type,
hAPP_f1730770594t_bool: ( fun_nat_bool * fun_fu915923926t_bool ) > fun_fu821463397t_bool ).
tff(func_def_318,type,
hAPP_f1951378235l_bool: ( fun_nat_bool * fun_fu1436348701l_bool ) > fun_fu814369080l_bool ).
tff(func_def_319,type,
hAPP_f633452666l_bool: ( fun_nat_bool * fun_fu1516990510l_bool ) > fun_fu616551101l_bool ).
tff(func_def_320,type,
hAPP_f618557131t_bool: ( fun_nat_nat * fun_fu717290361t_bool ) > fun_nat_fun_nat_bool ).
tff(func_def_321,type,
hAPP_f561022312t_bool: ( fun_na1469252690l_bool * fun_fu1901564496t_bool ) > fun_fu821463397t_bool ).
tff(func_def_322,type,
hAPP_f158894502t_bool: ( fun_nat_fun_nat_bool * fun_fu531872008t_bool ) > fun_nat_bool ).
tff(func_def_323,type,
hAPP_f229349961t_bool: ( fun_nat_fun_nat_bool * fun_fu1733046955t_bool ) > fun_nat_fun_nat_bool ).
tff(func_def_324,type,
hAPP_f10625010t_bool: ( fun_nat_fun_nat_bool * fun_fu2023981606t_bool ) > fun_na35521688t_bool ).
tff(func_def_325,type,
hAPP_f1505651103t_bool: ( fun_nat_fun_nat_bool * fun_fu687803393t_bool ) > fun_fu717290361t_bool ).
tff(func_def_326,type,
hAPP_f1722879237t_bool: ( fun_na1436237685l_bool * fun_fu80187629t_bool ) > fun_fu821463397t_bool ).
tff(func_def_327,type,
hAPP_f688831301t_bool: ( fun_na35521688t_bool * fun_fu1538037805t_bool ) > fun_fu429110920t_bool ).
tff(func_def_328,type,
hAPP_f1159960589e_bool: ( fun_fu373216837e_bool * fun_fu257852021e_bool ) > fun_fu1740061501e_bool ).
tff(func_def_329,type,
hAPP_f512427579e_bool: ( fun_fu373216837e_bool * fun_fu1807063587e_bool ) > fun_fu402792811e_bool ).
tff(func_def_330,type,
hAPP_f1178339559l_bool: ( fun_fu1658206819l_bool * fun_fu1340893257l_bool ) > fun_fu2118559873l_bool ).
tff(func_def_331,type,
hAPP_f1345202233l_bool: ( fun_fu1658206819l_bool * fun_fu960651291l_bool ) > fun_fu1982748883l_bool ).
tff(func_def_332,type,
hAPP_f635443597e_bool: ( fun_fu2127278875e_bool * fun_fu817723125e_bool ) > fun_fu278206227e_bool ).
tff(func_def_333,type,
hAPP_f1151843515e_bool: ( fun_fu2127278875e_bool * fun_fu2086781859e_bool ) > fun_fu222624065e_bool ).
tff(func_def_334,type,
hAPP_f1006724181e_bool: ( fun_fu1219323149e_bool * fun_fu1860059197e_bool ) > fun_fu1591723597e_bool ).
tff(func_def_335,type,
hAPP_f1398071125e_bool: ( fun_fu1219323149e_bool * fun_fu620092349e_bool ) > fun_fu1454697805e_bool ).
tff(func_def_336,type,
hAPP_f375255701e_bool: ( fun_fu1047394976e_bool * fun_fu1631777789e_bool ) > fun_fu2008829792e_bool ).
tff(func_def_337,type,
hAPP_f1948079815a_bool: ( fun_fu1441721944l_bool * fun_fu1132583599a_bool ) > fun_fu312520138a_bool ).
tff(func_def_338,type,
hAPP_f1118475355a_bool: ( fun_fu601883884a_bool * fun_fu70927933a_bool ) > fun_fu601883884a_bool ).
tff(func_def_339,type,
hAPP_f1987684735a_bool: ( fun_fu601883884a_bool * fun_fu2123829857a_bool ) > fun_fu1651165456a_bool ).
tff(func_def_340,type,
hAPP_f1983876009e_bool: ( fun_fu689207471l_bool * fun_fu984131467e_bool ) > fun_fu572183031e_bool ).
tff(func_def_341,type,
hAPP_f961873429e_bool: ( fun_fu947547457e_bool * fun_fu2079320957e_bool ) > fun_fu947547457e_bool ).
tff(func_def_342,type,
hAPP_f967770723e_bool: ( fun_fu947547457e_bool * fun_fu991462475e_bool ) > fun_fu1771441039e_bool ).
tff(func_def_343,type,
hAPP_f1637334154l_bool: ( fun_fu425979586l_bool * fun_fu814369080l_bool ) > bool ).
tff(func_def_344,type,
hAPP_f1246832597l_bool: ( fun_fu425979586l_bool * fun_fu616551101l_bool ) > fun_fu425979586l_bool ).
tff(func_def_345,type,
hAPP_f1974927549l_bool: ( fun_fu425979586l_bool * fun_fu24963051l_bool ) > fun_fu1016514960l_bool ).
tff(func_def_346,type,
hAPP_f1777703707t_bool: ( fun_fu425979586l_bool * fun_fu1402718723t_bool ) > fun_fu531872008t_bool ).
tff(func_def_347,type,
hAPP_f1743029098l_bool: ( fun_fu1016514960l_bool * fun_fu898693662l_bool ) > fun_fu616551101l_bool ).
tff(func_def_348,type,
hAPP_f643944041l_bool: ( fun_fu1217155507l_bool * fun_fu820922699l_bool ) > fun_fu1217155507l_bool ).
tff(func_def_349,type,
hAPP_f1311642927t_bool: ( fun_fu915923926t_bool * fun_fu257437713t_bool ) > fun_fu915923926t_bool ).
tff(func_def_350,type,
hAPP_f1115950719t_bool: ( fun_fu915923926t_bool * fun_fu1738364513t_bool ) > fun_fu2023981606t_bool ).
tff(func_def_351,type,
hAPP_f1443436725l_bool: ( fun_fu1436348701l_bool * fun_fu502475293l_bool ) > fun_fu616551101l_bool ).
tff(func_def_352,type,
member1891733107iple_a: fun_Ho448013557l_bool ).
tff(func_def_353,type,
member618553700_state: fun_Ho1085560331l_bool ).
tff(func_def_354,type,
member_nat: fun_na1436237685l_bool ).
tff(func_def_355,type,
member_fun_nat_bool: fun_fu1436348701l_bool ).
tff(func_def_356,type,
g: fun_Ho287446294a_bool ).
tff(func_def_357,type,
p: fun_a_fun_state_bool ).
tff(func_def_358,type,
b: fun_state_bool ).
tff(func_def_359,type,
c: com ).
tff(func_def_360,type,
sK2: ( fun_a_fun_state_bool * ( fun_a_fun_state_bool * ( com * fun_Ho287446294a_bool ) ) ) > x_a ).
tff(func_def_361,type,
sK3: ( fun_a_fun_state_bool * ( fun_a_fun_state_bool * ( com * fun_Ho287446294a_bool ) ) ) > state ).
tff(func_def_362,type,
sK4: ( fun_st1506752259e_bool * ( fun_st1506752259e_bool * ( com * fun_Ho1996104121e_bool ) ) ) > state ).
tff(func_def_363,type,
sK5: ( fun_st1506752259e_bool * ( fun_st1506752259e_bool * ( com * fun_Ho1996104121e_bool ) ) ) > state ).
tff(func_def_364,type,
sK6: ( fun_a_fun_state_bool * fun_a_fun_state_bool ) > x_a ).
tff(func_def_365,type,
sK7: ( fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).
tff(func_def_366,type,
sK8: ( fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).
tff(func_def_367,type,
sK9: ( fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).
tff(func_def_368,type,
sK10: ( fun_a_fun_state_bool * fun_a_fun_state_bool ) > x_a ).
tff(func_def_369,type,
sK11: ( fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).
tff(func_def_370,type,
sK12: ( fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).
tff(func_def_371,type,
sK13: ( fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).
tff(func_def_372,type,
sK14: ( fun_a_fun_state_bool * ( fun_a_fun_state_bool * ( fun_a_fun_state_bool * fun_a_fun_state_bool ) ) ) > x_a ).
tff(func_def_373,type,
sK15: ( fun_a_fun_state_bool * ( fun_a_fun_state_bool * ( fun_a_fun_state_bool * fun_a_fun_state_bool ) ) ) > state ).
tff(func_def_374,type,
sK16: ( fun_a_fun_state_bool * ( fun_a_fun_state_bool * ( fun_a_fun_state_bool * fun_a_fun_state_bool ) ) ) > state ).
tff(func_def_375,type,
sK17: ( fun_st1506752259e_bool * ( fun_st1506752259e_bool * ( fun_st1506752259e_bool * fun_st1506752259e_bool ) ) ) > state ).
tff(func_def_376,type,
sK18: ( fun_st1506752259e_bool * ( fun_st1506752259e_bool * ( fun_st1506752259e_bool * fun_st1506752259e_bool ) ) ) > state ).
tff(func_def_377,type,
sK19: ( fun_st1506752259e_bool * ( fun_st1506752259e_bool * ( fun_st1506752259e_bool * fun_st1506752259e_bool ) ) ) > state ).
tff(func_def_378,type,
sK20: fun_nat_bool > nat ).
tff(func_def_379,type,
sK21: fun_Ho287446294a_bool > hoare_1544627872iple_a ).
tff(func_def_380,type,
sK22: fun_fu425979586l_bool > fun_nat_bool ).
tff(func_def_381,type,
sK23: fun_Ho1996104121e_bool > hoare_1875481847_state ).
tff(func_def_382,type,
sK24: fun_nat_bool > nat ).
tff(func_def_383,type,
sK25: fun_Ho287446294a_bool > hoare_1544627872iple_a ).
tff(func_def_384,type,
sK26: fun_fu425979586l_bool > fun_nat_bool ).
tff(func_def_385,type,
sK27: fun_Ho1996104121e_bool > hoare_1875481847_state ).
tff(func_def_386,type,
sK28: fun_Ho287446294a_bool > hoare_1544627872iple_a ).
tff(func_def_387,type,
sK29: fun_Ho1996104121e_bool > hoare_1875481847_state ).
tff(func_def_388,type,
sK30: fun_nat_bool > nat ).
tff(func_def_389,type,
sK31: fun_Ho287446294a_bool > hoare_1544627872iple_a ).
tff(func_def_390,type,
sK32: fun_Ho1996104121e_bool > hoare_1875481847_state ).
tff(func_def_391,type,
sK33: fun_nat_bool > nat ).
tff(func_def_392,type,
sK34: hoare_1875481847_state > fun_st1506752259e_bool ).
tff(func_def_393,type,
sK35: hoare_1875481847_state > com ).
tff(func_def_394,type,
sK36: hoare_1875481847_state > fun_st1506752259e_bool ).
tff(func_def_395,type,
sK37: hoare_1544627872iple_a > fun_a_fun_state_bool ).
tff(func_def_396,type,
sK38: hoare_1544627872iple_a > com ).
tff(func_def_397,type,
sK39: hoare_1544627872iple_a > fun_a_fun_state_bool ).
tff(func_def_398,type,
sK40: ( fun_Ho287446294a_bool * hoare_1544627872iple_a ) > fun_Ho287446294a_bool ).
tff(func_def_399,type,
sK41: ( fun_nat_bool * nat ) > fun_nat_bool ).
tff(func_def_400,type,
sK42: ( fun_Ho1996104121e_bool * hoare_1875481847_state ) > fun_Ho1996104121e_bool ).
tff(func_def_401,type,
sK43: ( fun_Ho287446294a_bool * hoare_1544627872iple_a ) > fun_Ho287446294a_bool ).
tff(func_def_402,type,
sK44: ( fun_nat_bool * nat ) > fun_nat_bool ).
tff(func_def_403,type,
sK45: ( fun_Ho1996104121e_bool * hoare_1875481847_state ) > fun_Ho1996104121e_bool ).
tff(func_def_404,type,
sK46: fun_Ho287446294a_bool > hoare_1544627872iple_a ).
tff(func_def_405,type,
sK47: fun_Ho1996104121e_bool > hoare_1875481847_state ).
tff(func_def_406,type,
sK48: fun_nat_bool > nat ).
tff(func_def_407,type,
sK49: ( fun_a_fun_state_bool * ( com * ( fun_Ho287446294a_bool * fun_a_fun_state_bool ) ) ) > x_a ).
tff(func_def_408,type,
sK50: ( fun_a_fun_state_bool * ( com * ( fun_Ho287446294a_bool * fun_a_fun_state_bool ) ) ) > state ).
tff(func_def_409,type,
sK51: ( fun_a_fun_state_bool * ( fun_a_fun_state_bool * ( fun_a_fun_state_bool * ( com * ( fun_Ho287446294a_bool * fun_a_fun_state_bool ) ) ) ) ) > state ).
tff(func_def_410,type,
sK52: ( fun_st1506752259e_bool * ( com * ( fun_Ho1996104121e_bool * fun_st1506752259e_bool ) ) ) > state ).
tff(func_def_411,type,
sK53: ( fun_st1506752259e_bool * ( com * ( fun_Ho1996104121e_bool * fun_st1506752259e_bool ) ) ) > state ).
tff(func_def_412,type,
sK54: ( fun_st1506752259e_bool * ( fun_st1506752259e_bool * ( fun_st1506752259e_bool * ( com * ( fun_Ho1996104121e_bool * fun_st1506752259e_bool ) ) ) ) ) > state ).
tff(func_def_413,type,
sK55: fun_Ho287446294a_bool > hoare_1544627872iple_a ).
tff(func_def_414,type,
sK56: fun_Ho287446294a_bool > fun_Ho287446294a_bool ).
tff(func_def_415,type,
sK57: fun_nat_bool > nat ).
tff(func_def_416,type,
sK58: fun_nat_bool > fun_nat_bool ).
tff(func_def_417,type,
sK59: fun_Ho1996104121e_bool > hoare_1875481847_state ).
tff(func_def_418,type,
sK60: fun_Ho1996104121e_bool > fun_Ho1996104121e_bool ).
tff(func_def_419,type,
sK61: ( fun_Ho1996104121e_bool * ( fun_Ho1455141843_state * hoare_1875481847_state ) ) > hoare_1875481847_state ).
tff(func_def_420,type,
sK62: ( fun_Ho287446294a_bool * ( fun_Ho1528294576_state * hoare_1875481847_state ) ) > hoare_1544627872iple_a ).
tff(func_def_421,type,
sK63: ( fun_nat_bool * ( fun_nat_nat * nat ) ) > nat ).
tff(func_def_422,type,
sK64: ( fun_Ho287446294a_bool * ( fun_Ho753038759_a_nat * nat ) ) > hoare_1544627872iple_a ).
tff(func_def_423,type,
sK65: ( fun_Ho287446294a_bool * ( fun_Ho1275796541iple_a * hoare_1544627872iple_a ) ) > hoare_1544627872iple_a ).
tff(func_def_424,type,
sK66: ( fun_Ho1996104121e_bool * ( fun_Ho1202345178iple_a * hoare_1544627872iple_a ) ) > hoare_1875481847_state ).
tff(func_def_425,type,
sK67: ( fun_nat_bool * ( fun_na98436179iple_a * hoare_1544627872iple_a ) ) > nat ).
tff(func_def_426,type,
sK68: ( hoare_1544627872iple_a * fun_Ho287446294a_bool ) > hoare_1544627872iple_a ).
tff(func_def_427,type,
sK69: ( hoare_1544627872iple_a * fun_Ho287446294a_bool ) > hoare_1544627872iple_a ).
tff(func_def_428,type,
sK70: ( hoare_1544627872iple_a * fun_Ho287446294a_bool ) > hoare_1544627872iple_a ).
tff(func_def_429,type,
sK71: ( hoare_1544627872iple_a * fun_Ho287446294a_bool ) > hoare_1544627872iple_a ).
tff(func_def_430,type,
sK72: ( state * ( state * com ) ) > nat ).
tff(func_def_431,type,
sK73: ( state * ( state * ( com * ( fun_state_nat * loc ) ) ) ) > state ).
tff(func_def_432,type,
sK74: ( state * ( nat * ( state * ( com * ( fun_state_nat * loc ) ) ) ) ) > state ).
tff(func_def_433,type,
sK75: ( state * ( state * ( com * com ) ) ) > state ).
tff(func_def_434,type,
sK76: ( state * ( nat * ( state * ( com * com ) ) ) ) > state ).
tff(func_def_435,type,
sK77: ( nat * ( fun_nat_bool * ( nat * fun_nat_fun_nat_nat ) ) ) > nat ).
tff(func_def_436,type,
sK78: ( nat * ( fun_nat_bool * ( nat * fun_nat_fun_nat_nat ) ) ) > fun_nat_bool ).
tff(func_def_437,type,
sK79: ( hoare_1875481847_state * ( fun_Ho1996104121e_bool * ( hoare_1875481847_state * fun_Ho784854669_state ) ) ) > hoare_1875481847_state ).
tff(func_def_438,type,
sK80: ( hoare_1875481847_state * ( fun_Ho1996104121e_bool * ( hoare_1875481847_state * fun_Ho784854669_state ) ) ) > fun_Ho1996104121e_bool ).
tff(func_def_439,type,
sK81: ( hoare_1544627872iple_a * ( fun_Ho287446294a_bool * ( hoare_1544627872iple_a * fun_Ho115022426iple_a ) ) ) > hoare_1544627872iple_a ).
tff(func_def_440,type,
sK82: ( hoare_1544627872iple_a * ( fun_Ho287446294a_bool * ( hoare_1544627872iple_a * fun_Ho115022426iple_a ) ) ) > fun_Ho287446294a_bool ).
tff(func_def_441,type,
sK83: ( state * ( state * com ) ) > nat ).
tff(func_def_442,type,
sK84: ( nat * ( fun_nat_bool * fun_nat_fun_nat_nat ) ) > nat ).
tff(func_def_443,type,
sK85: ( nat * ( fun_nat_bool * fun_nat_fun_nat_nat ) ) > fun_nat_bool ).
tff(func_def_444,type,
sK86: ( nat * ( fun_nat_bool * fun_nat_fun_nat_nat ) ) > nat ).
tff(func_def_445,type,
sK87: ( hoare_1875481847_state * ( fun_Ho1996104121e_bool * fun_Ho784854669_state ) ) > hoare_1875481847_state ).
tff(func_def_446,type,
sK88: ( hoare_1875481847_state * ( fun_Ho1996104121e_bool * fun_Ho784854669_state ) ) > fun_Ho1996104121e_bool ).
tff(func_def_447,type,
sK89: ( hoare_1875481847_state * ( fun_Ho1996104121e_bool * fun_Ho784854669_state ) ) > hoare_1875481847_state ).
tff(func_def_448,type,
sK90: ( hoare_1544627872iple_a * ( fun_Ho287446294a_bool * fun_Ho115022426iple_a ) ) > hoare_1544627872iple_a ).
tff(func_def_449,type,
sK91: ( hoare_1544627872iple_a * ( fun_Ho287446294a_bool * fun_Ho115022426iple_a ) ) > fun_Ho287446294a_bool ).
tff(func_def_450,type,
sK92: ( hoare_1544627872iple_a * ( fun_Ho287446294a_bool * fun_Ho115022426iple_a ) ) > hoare_1544627872iple_a ).
tff(func_def_451,type,
sK93: ( fun_Ho115022426iple_a * ( hoare_1544627872iple_a * ( hoare_1544627872iple_a * fun_Ho287446294a_bool ) ) ) > hoare_1544627872iple_a ).
tff(func_def_452,type,
sK94: ( fun_Ho115022426iple_a * ( hoare_1544627872iple_a * ( hoare_1544627872iple_a * fun_Ho287446294a_bool ) ) ) > fun_Ho287446294a_bool ).
tff(func_def_453,type,
sK95: ( fun_Ho115022426iple_a * ( hoare_1544627872iple_a * ( hoare_1544627872iple_a * fun_Ho287446294a_bool ) ) ) > hoare_1544627872iple_a ).
tff(func_def_454,type,
sK96: ( state * ( state * ( com * ( state * ( state * com ) ) ) ) ) > nat ).
tff(func_def_455,type,
sK97: ( fun_st1506752259e_bool * ( com * ( fun_st1506752259e_bool * nat ) ) ) > state ).
tff(func_def_456,type,
sK98: ( fun_st1506752259e_bool * ( com * ( fun_st1506752259e_bool * nat ) ) ) > state ).
tff(func_def_457,type,
sK99: ( fun_st1506752259e_bool * ( com * ( fun_st1506752259e_bool * nat ) ) ) > state ).
tff(func_def_458,type,
sK100: ( fun_a_fun_state_bool * ( com * ( fun_a_fun_state_bool * nat ) ) ) > x_a ).
tff(func_def_459,type,
sK101: ( fun_a_fun_state_bool * ( com * ( fun_a_fun_state_bool * nat ) ) ) > state ).
tff(func_def_460,type,
sK102: ( fun_a_fun_state_bool * ( com * ( fun_a_fun_state_bool * nat ) ) ) > state ).
tff(func_def_461,type,
sK103: fun_nat_fun_nat_nat > nat ).
tff(func_def_462,type,
sK104: fun_nat_fun_nat_nat > nat ).
tff(func_def_463,type,
sK105: fun_Ho784854669_state > hoare_1875481847_state ).
tff(func_def_464,type,
sK106: fun_Ho784854669_state > hoare_1875481847_state ).
tff(func_def_465,type,
sK107: fun_Ho115022426iple_a > hoare_1544627872iple_a ).
tff(func_def_466,type,
sK108: fun_Ho115022426iple_a > hoare_1544627872iple_a ).
tff(func_def_467,type,
sK109: ( fun_nat_bool * fun_nat_fun_nat_nat ) > nat ).
tff(func_def_468,type,
sK110: ( fun_Ho287446294a_bool * fun_Ho115022426iple_a ) > hoare_1544627872iple_a ).
tff(func_def_469,type,
sK111: ( fun_Ho1996104121e_bool * fun_Ho784854669_state ) > hoare_1875481847_state ).
tff(func_def_470,type,
sK112: fun_fu425979586l_bool > nat ).
tff(func_def_471,type,
sK113: fun_fu425979586l_bool > fun_nat_bool ).
tff(func_def_472,type,
sK114: fun_fu689207471l_bool > hoare_1875481847_state ).
tff(func_def_473,type,
sK115: fun_fu689207471l_bool > fun_Ho1996104121e_bool ).
tff(func_def_474,type,
sK116: fun_fu1441721944l_bool > hoare_1544627872iple_a ).
tff(func_def_475,type,
sK117: fun_fu1441721944l_bool > fun_Ho287446294a_bool ).
tff(func_def_476,type,
sK118: fun_nat_bool > fun_nat_bool ).
tff(func_def_477,type,
sK119: fun_nat_bool > nat ).
tff(func_def_478,type,
sK120: fun_Ho1996104121e_bool > fun_Ho1996104121e_bool ).
tff(func_def_479,type,
sK121: fun_Ho1996104121e_bool > hoare_1875481847_state ).
tff(func_def_480,type,
sK122: fun_Ho287446294a_bool > fun_Ho287446294a_bool ).
tff(func_def_481,type,
sK123: fun_Ho287446294a_bool > hoare_1544627872iple_a ).
tff(func_def_482,type,
sK124: ( fun_Ho287446294a_bool * ( hoare_1544627872iple_a * fun_Ho115022426iple_a ) ) > hoare_1544627872iple_a ).
tff(func_def_483,type,
sK125: fun_fu425979586l_bool > nat ).
tff(func_def_484,type,
sK126: fun_fu425979586l_bool > fun_nat_bool ).
tff(func_def_485,type,
sK127: fun_fu425979586l_bool > nat ).
tff(func_def_486,type,
sK128: fun_fu689207471l_bool > hoare_1875481847_state ).
tff(func_def_487,type,
sK129: fun_fu689207471l_bool > fun_Ho1996104121e_bool ).
tff(func_def_488,type,
sK130: fun_fu689207471l_bool > hoare_1875481847_state ).
tff(func_def_489,type,
sK131: fun_fu1441721944l_bool > hoare_1544627872iple_a ).
tff(func_def_490,type,
sK132: fun_fu1441721944l_bool > fun_Ho287446294a_bool ).
tff(func_def_491,type,
sK133: fun_fu1441721944l_bool > hoare_1544627872iple_a ).
tff(func_def_492,type,
sK134: vname > loc ).
tff(func_def_493,type,
sK135: vname > glb ).
tff(func_def_494,type,
sK136: ( fun_nat_fun_nat_nat * fun_nat_nat ) > nat ).
tff(func_def_495,type,
sK137: ( fun_nat_fun_nat_nat * fun_nat_nat ) > nat ).
tff(func_def_496,type,
sK138: ( fun_Ho784854669_state * fun_Ho1455141843_state ) > hoare_1875481847_state ).
tff(func_def_497,type,
sK139: ( fun_Ho784854669_state * fun_Ho1455141843_state ) > hoare_1875481847_state ).
tff(func_def_498,type,
sK140: ( fun_Ho115022426iple_a * fun_Ho1275796541iple_a ) > hoare_1544627872iple_a ).
tff(func_def_499,type,
sK141: ( fun_Ho115022426iple_a * fun_Ho1275796541iple_a ) > hoare_1544627872iple_a ).
tff(func_def_500,type,
sK142: fun_fu425979586l_bool > nat ).
tff(func_def_501,type,
sK143: fun_fu425979586l_bool > fun_nat_bool ).
tff(func_def_502,type,
sK144: fun_fu689207471l_bool > hoare_1875481847_state ).
tff(func_def_503,type,
sK145: fun_fu689207471l_bool > fun_Ho1996104121e_bool ).
tff(func_def_504,type,
sK146: fun_fu1441721944l_bool > hoare_1544627872iple_a ).
tff(func_def_505,type,
sK147: fun_fu1441721944l_bool > fun_Ho287446294a_bool ).
tff(func_def_506,type,
sK148: ( fun_Ho115022426iple_a * ( hoare_1544627872iple_a * ( fun_Ho287446294a_bool * ( hoare_1544627872iple_a * hoare_1544627872iple_a ) ) ) ) > hoare_1544627872iple_a ).
tff(func_def_507,type,
sK149: ( fun_Ho115022426iple_a * ( hoare_1544627872iple_a * ( fun_Ho287446294a_bool * ( hoare_1544627872iple_a * hoare_1544627872iple_a ) ) ) ) > hoare_1544627872iple_a ).
tff(func_def_508,type,
sK150: nat ).
tff(func_def_509,type,
sK151: nat ).
tff(func_def_510,type,
sK152: ( fun_nat_bool * nat ) > nat ).
tff(func_def_511,type,
sK153: ( fun_nat_bool * fun_fu425979586l_bool ) > nat ).
tff(func_def_512,type,
sK154: ( fun_nat_bool * fun_fu425979586l_bool ) > fun_nat_bool ).
tff(func_def_513,type,
sK155: ( fun_Ho1996104121e_bool * fun_fu689207471l_bool ) > hoare_1875481847_state ).
tff(func_def_514,type,
sK156: ( fun_Ho1996104121e_bool * fun_fu689207471l_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_515,type,
sK157: ( fun_Ho287446294a_bool * fun_fu1441721944l_bool ) > hoare_1544627872iple_a ).
tff(func_def_516,type,
sK158: ( fun_Ho287446294a_bool * fun_fu1441721944l_bool ) > fun_Ho287446294a_bool ).
tff(func_def_517,type,
sK159: ( fun_Ho287446294a_bool * fun_Ho287446294a_bool ) > hoare_1544627872iple_a ).
tff(func_def_518,type,
sK160: ( fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_519,type,
sK161: ( nat * fun_nat_bool ) > nat ).
tff(func_def_520,type,
sK162: fun_nat_bool > nat ).
tff(func_def_521,type,
sK163: fun_nat_nat > nat ).
tff(func_def_522,type,
sK164: fun_nat_nat > nat ).
tff(func_def_523,type,
sK165: fun_nat_nat > nat ).
tff(func_def_524,type,
sK166: nat ).
tff(func_def_525,type,
sK167: nat ).
tff(func_def_526,type,
sK168: ( fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_527,type,
sK169: ( fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_528,type,
sK170: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).
tff(func_def_529,type,
sK171: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).
tff(func_def_530,type,
sK172: ( fun_Ho287446294a_bool * fun_Ho287446294a_bool ) > hoare_1544627872iple_a ).
tff(func_def_531,type,
sK173: ( fun_Ho287446294a_bool * fun_Ho287446294a_bool ) > hoare_1544627872iple_a ).
tff(f9,axiom,
! [X0: fun_Ho287446294a_bool,X1: fun_a_fun_state_bool,X2: com,X3: fun_a_fun_state_bool,X4: bool] :
( ( hBOOL(X4)
=> hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X1,X2,X3)),bot_bo1766443648a_bool))) )
=> hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X4),X2,X3)),bot_bo1766443648a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_constant) ).
tff(f15,axiom,
! [X0: fun_a_fun_state_bool,X1: fun_Ho287446294a_bool,X2: fun_a_fun_state_bool,X3: com,X4: fun_a_fun_state_bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X2,X3,X4)),bot_bo1766443648a_bool)))
=> ( ! [X5: x_a,X6: state] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6)) )
=> hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X0,X3,X4)),bot_bo1766443648a_bool))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_conseq1) ).
tff(f28,axiom,
! [X0: hoare_1544627872iple_a] : ( collec445968053iple_a(hAPP_H1472549281a_bool(fequal1057774495iple_a,X0)) = hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,X0),bot_bo1766443648a_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_singleton__conv2) ).
tff(f61,axiom,
! [X0: fun_Ho287446294a_bool] :
( ! [X1: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1),X0))
<=> ( X0 = bot_bo1766443648a_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_all__not__in__conv) ).
tff(f233,axiom,
! [X0: fun_Ho287446294a_bool] : ( collec445968053iple_a(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_232_Collect__def) ).
tff(f709,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
tff(f721,axiom,
! [X0: bool,X1: state] : ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
tff(f727,axiom,
! [X0: fun_state_bool,X1: x_a] : ( hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).
tff(f802,conjecture,
hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(g),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1766443648a_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f803,negated_conjecture,
~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(g),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1766443648a_bool))),
inference(negated_conjecture,[status(cth)],[f802]) ).
tff(f807,plain,
~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(g),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1766443648a_bool))),
inference(flattening,[],[f803]) ).
tff(f816,plain,
! [X0: fun_Ho287446294a_bool,X1: fun_a_fun_state_bool,X2: com,X3: fun_a_fun_state_bool,X4: bool] :
( ( hBOOL(X4)
& ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X1,X2,X3)),bot_bo1766443648a_bool))) )
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X4),X2,X3)),bot_bo1766443648a_bool))) ),
inference(ennf_transformation,[],[f9]) ).
tff(f824,plain,
! [X0: fun_a_fun_state_bool,X1: fun_Ho287446294a_bool,X2: fun_a_fun_state_bool,X3: com,X4: fun_a_fun_state_bool] :
( ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X2,X3,X4)),bot_bo1766443648a_bool)))
| ? [X5: x_a,X6: state] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6))
& ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6)) )
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X0,X3,X4)),bot_bo1766443648a_bool))) ),
inference(ennf_transformation,[],[f15]) ).
tff(f825,plain,
! [X0: fun_a_fun_state_bool,X1: fun_Ho287446294a_bool,X2: fun_a_fun_state_bool,X3: com,X4: fun_a_fun_state_bool] :
( ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X2,X3,X4)),bot_bo1766443648a_bool)))
| ? [X5: x_a,X6: state] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6))
& ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6)) )
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X0,X3,X4)),bot_bo1766443648a_bool))) ),
inference(flattening,[],[f824]) ).
tff(f1355,plain,
! [X0: fun_a_fun_state_bool,X1: fun_Ho287446294a_bool,X2: fun_a_fun_state_bool,X3: com,X4: fun_a_fun_state_bool] :
( ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X2,X3,X4)),bot_bo1766443648a_bool)))
| ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X0,X2)),sK11(X0,X2)))
& ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK10(X0,X2)),sK11(X0,X2))) )
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X0,X3,X4)),bot_bo1766443648a_bool))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X5,sK10(X0,X2)),skolemize(X6,sK11(X0,X2))],[f825]) ).
tff(f1392,plain,
! [X0: fun_Ho287446294a_bool] :
( ( ? [X1: hoare_1544627872iple_a] : hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1),X0))
| ( X0 = bot_bo1766443648a_bool ) )
& ( ( bot_bo1766443648a_bool != X0 )
| ! [X1: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1),X0)) ) ),
inference(nnf_transformation,[],[f61]) ).
tff(f1393,plain,
! [X0: fun_Ho287446294a_bool] :
( ( ? [X2: hoare_1544627872iple_a] : hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X2),X0))
| ( X0 = bot_bo1766443648a_bool ) )
& ( ( bot_bo1766443648a_bool != X0 )
| ! [X1: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1),X0)) ) ),
inference(rectify,[],[f1392]) ).
tff(f1394,plain,
! [X0: fun_Ho287446294a_bool] :
( ( hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,sK31(X0)),X0))
| ( X0 = bot_bo1766443648a_bool ) )
& ( ( bot_bo1766443648a_bool != X0 )
| ! [X1: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1),X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X2,sK31(X0))],[f1393]) ).
tff(f1695,plain,
! [X2: com,X3: fun_a_fun_state_bool,X0: fun_Ho287446294a_bool,X1: fun_a_fun_state_bool,X4: bool] :
( hBOOL(X4)
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X4),X2,X3)),bot_bo1766443648a_bool))) ),
inference(cnf_transformation,[],[f816]) ).
tff(f1707,plain,
! [X2: fun_a_fun_state_bool,X3: com,X0: fun_a_fun_state_bool,X1: fun_Ho287446294a_bool,X4: fun_a_fun_state_bool] :
( ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X2,X3,X4)),bot_bo1766443648a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X0,X2)),sK11(X0,X2)))
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X0,X3,X4)),bot_bo1766443648a_bool))) ),
inference(cnf_transformation,[],[f1355]) ).
tff(f1729,plain,
! [X0: hoare_1544627872iple_a] : ( collec445968053iple_a(hAPP_H1472549281a_bool(fequal1057774495iple_a,X0)) = hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,X0),bot_bo1766443648a_bool) ),
inference(cnf_transformation,[],[f28]) ).
tff(f1782,plain,
! [X0: fun_Ho287446294a_bool,X1: hoare_1544627872iple_a] :
( ( bot_bo1766443648a_bool != X0 )
| ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1),X0)) ),
inference(cnf_transformation,[],[f1394]) ).
tff(f2049,plain,
! [X0: fun_Ho287446294a_bool] : ( collec445968053iple_a(X0) = X0 ),
inference(cnf_transformation,[],[f233]) ).
tff(f2783,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f709]) ).
tff(f2795,plain,
! [X0: bool,X1: state] : ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 ),
inference(cnf_transformation,[],[f721]) ).
tff(f2801,plain,
! [X0: fun_state_bool,X1: x_a] : ( hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0 ),
inference(cnf_transformation,[],[f727]) ).
tff(f2876,plain,
~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(g),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1766443648a_bool))),
inference(cnf_transformation,[],[f807]) ).
tff(f2892,plain,
! [X1: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1),bot_bo1766443648a_bool)),
inference(equality_resolution,[],[f1782]) ).
tcf(c_62,plain,
! [X0_com: com,X0_bool: bool,X0_fun_a_fun_state_bool: fun_a_fun_state_bool,X0_fun_Ho287446294a_bool: fun_Ho287446294a_bool,X1_fun_a_fun_state_bool: fun_a_fun_state_bool] :
( hBOOL(X0_bool)
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_fun_Ho287446294a_bool),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_fun_a_fun_state_bool))),X0_bool),X0_com,X1_fun_a_fun_state_bool)),bot_bo1766443648a_bool))) ),
inference(cnf_transformation,[],[f1695]) ).
tcf(c_74,plain,
! [X0_com: com,X0_fun_a_fun_state_bool: fun_a_fun_state_bool,X0_fun_Ho287446294a_bool: fun_Ho287446294a_bool,X1_fun_a_fun_state_bool: fun_a_fun_state_bool,X2_fun_a_fun_state_bool: fun_a_fun_state_bool] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2_fun_a_fun_state_bool,sK10(X2_fun_a_fun_state_bool,X0_fun_a_fun_state_bool)),sK11(X2_fun_a_fun_state_bool,X0_fun_a_fun_state_bool)))
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_fun_Ho287446294a_bool),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X2_fun_a_fun_state_bool,X0_com,X1_fun_a_fun_state_bool)),bot_bo1766443648a_bool)))
| ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_fun_Ho287446294a_bool),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X0_fun_a_fun_state_bool,X0_com,X1_fun_a_fun_state_bool)),bot_bo1766443648a_bool))) ),
inference(cnf_transformation,[],[f1707]) ).
tcf(c_95,plain,
! [X0_hoare_1544627872iple_a: hoare_1544627872iple_a] : hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,X0_hoare_1544627872iple_a),bot_bo1766443648a_bool) = collec445968053iple_a(hAPP_H1472549281a_bool(fequal1057774495iple_a,X0_hoare_1544627872iple_a)),
inference(cnf_transformation,[],[f1729]) ).
tcf(c_147,plain,
! [X0_hoare_1544627872iple_a: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X0_hoare_1544627872iple_a),bot_bo1766443648a_bool)),
inference(cnf_transformation,[],[f2892]) ).
tcf(c_410,plain,
! [X0_fun_Ho287446294a_bool: fun_Ho287446294a_bool] : collec445968053iple_a(X0_fun_Ho287446294a_bool) = X0_fun_Ho287446294a_bool,
inference(cnf_transformation,[],[f2049]) ).
tcf(c_1130,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f2783]) ).
tcf(c_1142,plain,
! [X0_state: state,X0_bool: bool] : hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0_bool),X0_state) = X0_bool,
inference(cnf_transformation,[],[f2795]) ).
tcf(c_1148,plain,
! [X0_x_a: x_a,X0_fun_state_bool: fun_state_bool] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0_fun_state_bool),X0_x_a) = X0_fun_state_bool,
inference(cnf_transformation,[],[f2801]) ).
tcf(c_1223,negated_conjecture,
~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(g),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1766443648a_bool))),
inference(cnf_transformation,[],[f2876]) ).
tcf(c_2316,plain,
! [X0_com: com,X0_bool: bool,X0_fun_a_fun_state_bool: fun_a_fun_state_bool,X0_fun_Ho287446294a_bool: fun_Ho287446294a_bool,X1_fun_a_fun_state_bool: fun_a_fun_state_bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_fun_Ho287446294a_bool),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_fun_a_fun_state_bool))),X0_bool),X0_com,X1_fun_a_fun_state_bool)),bot_bo1766443648a_bool)))
| hBOOL(X0_bool) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
tcf(c_2317,plain,
! [X0_com: com,X0_bool: bool,X0_fun_a_fun_state_bool: fun_a_fun_state_bool,X0_fun_Ho287446294a_bool: fun_Ho287446294a_bool,X1_fun_a_fun_state_bool: fun_a_fun_state_bool] :
( hBOOL(X0_bool)
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_fun_Ho287446294a_bool),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_fun_a_fun_state_bool))),X0_bool),X0_com,X1_fun_a_fun_state_bool)),bot_bo1766443648a_bool))) ),
inference(renaming,[status(thm)],[c_2316]) ).
tcf(c_8573,plain,
! [X0_hoare_1544627872iple_a: hoare_1544627872iple_a] : hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,X0_hoare_1544627872iple_a),bot_bo1766443648a_bool) = hAPP_H1472549281a_bool(fequal1057774495iple_a,X0_hoare_1544627872iple_a),
inference(demodulation,[status(thm)],[c_95,c_410]) ).
tcf(c_9944,plain,
! [X0_com: com,X0_bool: bool,X0_fun_a_fun_state_bool: fun_a_fun_state_bool,X0_fun_Ho287446294a_bool: fun_Ho287446294a_bool,X1_fun_a_fun_state_bool: fun_a_fun_state_bool] :
( hBOOL(X0_bool)
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_fun_Ho287446294a_bool),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_fun_a_fun_state_bool))),X0_bool),X0_com,X1_fun_a_fun_state_bool)))) ),
inference(demodulation,[status(thm)],[c_2317,c_8573]) ).
tcf(c_10394,plain,
~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(g),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))))),
inference(demodulation,[status(thm)],[c_1223,c_8573]) ).
tcf(c_10424,plain,
! [X0_com: com,X0_fun_a_fun_state_bool: fun_a_fun_state_bool,X0_fun_Ho287446294a_bool: fun_Ho287446294a_bool,X1_fun_a_fun_state_bool: fun_a_fun_state_bool,X2_fun_a_fun_state_bool: fun_a_fun_state_bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_fun_Ho287446294a_bool),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(X2_fun_a_fun_state_bool,X0_com,X1_fun_a_fun_state_bool))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2_fun_a_fun_state_bool,sK10(X2_fun_a_fun_state_bool,X0_fun_a_fun_state_bool)),sK11(X2_fun_a_fun_state_bool,X0_fun_a_fun_state_bool)))
| ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_fun_Ho287446294a_bool),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(X0_fun_a_fun_state_bool,X0_com,X1_fun_a_fun_state_bool)))) ),
inference(demodulation,[status(thm)],[c_74,c_8573]) ).
tcf(c_11554,plain,
! [X0_com: com,X0_fun_a_fun_state_bool: fun_a_fun_state_bool,X0_fun_Ho287446294a_bool: fun_Ho287446294a_bool,X1_fun_a_fun_state_bool: fun_a_fun_state_bool,X2_fun_a_fun_state_bool: fun_a_fun_state_bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_fun_Ho287446294a_bool),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(X2_fun_a_fun_state_bool,X0_com,X1_fun_a_fun_state_bool))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2_fun_a_fun_state_bool,sK10(X2_fun_a_fun_state_bool,X0_fun_a_fun_state_bool)),sK11(X2_fun_a_fun_state_bool,X0_fun_a_fun_state_bool)))
| ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_fun_Ho287446294a_bool),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(X0_fun_a_fun_state_bool,X0_com,X1_fun_a_fun_state_bool)))) ),
inference(subtyping,[status(esa)],[c_10424]) ).
tcf(c_11556,plain,
~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(g),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))))),
inference(subtyping,[status(esa)],[c_10394]) ).
tcf(c_11600,plain,
! [X0_com: com,X0_bool: bool,X0_fun_a_fun_state_bool: fun_a_fun_state_bool,X0_fun_Ho287446294a_bool: fun_Ho287446294a_bool,X1_fun_a_fun_state_bool: fun_a_fun_state_bool] :
( hBOOL(X0_bool)
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_fun_Ho287446294a_bool),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_fun_a_fun_state_bool))),X0_bool),X0_com,X1_fun_a_fun_state_bool)))) ),
inference(subtyping,[status(esa)],[c_9944]) ).
tcf(c_11870,plain,
! [X0_fun_state_bool: fun_state_bool,X0_iProver_hAPP_a2036067514e_bool_2_x_a: iProver_hAPP_a2036067514e_bool_2_x_a] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0_fun_state_bool),X0_iProver_hAPP_a2036067514e_bool_2_x_a) = X0_fun_state_bool,
inference(subtyping,[status(esa)],[c_1148]) ).
tcf(c_11876,plain,
! [X0_state: state,X0_bool: bool] : hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0_bool),X0_state) = X0_bool,
inference(subtyping,[status(esa)],[c_1142]) ).
tcf(c_11888,plain,
~ hBOOL(fFalse),
inference(subtyping,[status(esa)],[c_1130]) ).
tcf(c_12368,plain,
! [X0_hoare_1544627872iple_a: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X0_hoare_1544627872iple_a),bot_bo1766443648a_bool)),
inference(subtyping,[status(esa)],[c_147]) ).
tcf(c_21169,plain,
! [X0_com: com,X0_bool: bool,X0_fun_a_fun_state_bool: fun_a_fun_state_bool,X0_fun_Ho287446294a_bool: fun_Ho287446294a_bool,X1_fun_a_fun_state_bool: fun_a_fun_state_bool,X2_fun_a_fun_state_bool: fun_a_fun_state_bool] :
( hBOOL(X0_bool)
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_fun_Ho287446294a_bool),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(X0_fun_a_fun_state_bool,X0_com,X2_fun_a_fun_state_bool))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0_fun_a_fun_state_bool,sK10(X0_fun_a_fun_state_bool,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1_fun_a_fun_state_bool))),X0_bool))),sK11(X0_fun_a_fun_state_bool,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1_fun_a_fun_state_bool))),X0_bool)))) ),
inference(superposition,[status(thm)],[c_11600,c_11554]) ).
tcf(c_22909,plain,
! [X0_bool: bool,X0_fun_a_fun_state_bool: fun_a_fun_state_bool] :
( hBOOL(X0_bool)
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),sK10(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_fun_a_fun_state_bool))),X0_bool))),sK11(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_fun_a_fun_state_bool))),X0_bool)))) ),
inference(superposition,[status(thm)],[c_21169,c_11556]) ).
tcf(c_22921,plain,
! [X0_bool: bool] :
( hBOOL(fFalse)
| hBOOL(X0_bool) ),
inference(demodulation,[status(thm)],[c_22909,c_11876,c_11870]) ).
tcf(c_22922,plain,
! [X0_bool: bool] : hBOOL(X0_bool),
inference(forward_subsumption_resolution,[status(thm)],[c_22921,c_11888]) ).
tcf(c_22956,plain,
$false,
inference(superposition,[status(thm)],[c_22922,c_12368]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW470_2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 22:31:06 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 38.47/9.74 % SZS status Started for theBenchmark.p
% 38.47/9.74 ERROR - "ProverProcess:heur/421498:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 38.47/9.74 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 38.47/9.74 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 8 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 512 --inst_dismatching true --inst_eager_unprocessed_to_passive false --inst_eq_res_simp true --inst_learning_factor 8 --inst_learning_loop_flag true --inst_learning_start 128 --inst_lit_activity_flag false --inst_lit_sel "[+sign;+prop]" --inst_lit_sel_side none --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[+num_symb;-age;-age];[+num_symb;+conj_non_prolific_symb]]" --inst_passive_queues_freq "[512;10]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew model --inst_solver_calls_frac 0.006221608720445637 --inst_solver_per_active 32768 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[+non_prol_conj_symb;+sign;-depth;-prop]" --inst_start_prop_sim_after_learn 9 --inst_subs_given true --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 0.33 --show_fool true" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_ab9q_7ik/20wz8rps 2>> /export/starexec/sandbox2/tmp/iprover_out_ab9q_7ik/20wz8rps_error
% 38.47/9.74 % SZS status Theorem for theBenchmark.p
% 38.47/9.74
% 38.47/9.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 38.47/9.74
% 38.47/9.74 % ------ iProver source info
% 38.47/9.74
% 38.47/9.74 % git: date: 2026-07-19 20:42:38 +0200
% 38.47/9.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 38.47/9.74 % git: non_committed_changes: false
% 38.47/9.74
% 38.47/9.74 % ------ Parsing...
% 38.47/9.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 38.47/9.74
% 38.47/9.74 % ------ Preprocessing... sup_sim: 222 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe_e %
% 38.47/9.74
% 38.47/9.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 38.47/9.74
% 38.47/9.74 % ------ Preprocessing... sf_s rm: 1 0s sf_e
% 38.47/9.74 % ------ Proving...
% 38.47/9.74 % ------ Problem Properties
% 38.47/9.74
% 38.47/9.74 %
% 38.47/9.74 % clauses 873
% 38.47/9.74 % conjectures 0
% 38.47/9.74 % EPR 4
% 38.47/9.74 % Horn 648
% 38.47/9.74 % unary 264
% 38.47/9.74 % binary 358
% 38.47/9.74 % lits 1902
% 38.47/9.74 % lits eq 642
% 38.47/9.74 % fd_pure 1
% 38.47/9.74 % fd_pseudo 0
% 38.47/9.74 % fd_cond 85
% 38.47/9.74 % fd_pseudo_cond 72
% 38.47/9.74 % AC symbols 0
% 38.47/9.74
% 38.47/9.74 % ------ Input Options Time Limit: Unbounded
% 38.47/9.74
% 38.47/9.74
% 38.47/9.74 % ------
% 38.47/9.74 % Current options:
% 38.47/9.74 % ------
% 38.47/9.74
% 38.47/9.74
% 38.47/9.74 %
% 38.47/9.74
% 38.47/9.74 % ------ Proving...
% 38.47/9.74 %
% 38.47/9.74
% 38.47/9.74 % SZS status Theorem for theBenchmark.p
% 38.47/9.74
% 38.47/9.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 38.47/9.74
% 38.47/9.74
%------------------------------------------------------------------------------