%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW470_2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 : Tue Sep 29 01:30:25 PM UTC 2026
% Result : Theorem 6.43s 1.84s
% Output : Refutation 8.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 3 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 177 ( 176 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 365 ( 365 usr; 137 con; 0-4 aty)
% Number of variables : 28 ( 26 !; 2 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
x_a: $tType ).
tff(type_def_6,type,
com: $tType ).
tff(type_def_7,type,
glb: $tType ).
tff(type_def_8,type,
loc: $tType ).
tff(type_def_9,type,
state: $tType ).
tff(type_def_10,type,
vname: $tType ).
tff(type_def_11,type,
bool: $tType ).
tff(type_def_12,type,
hoare_1544627872iple_a: $tType ).
tff(type_def_13,type,
hoare_1875481847_state: $tType ).
tff(type_def_14,type,
nat: $tType ).
tff(type_def_15,type,
fun_a_fun_state_bool: $tType ).
tff(type_def_16,type,
fun_a_1632297036l_bool: $tType ).
tff(type_def_17,type,
fun_a_998512028e_bool: $tType ).
tff(type_def_18,type,
fun_a_340690546e_bool: $tType ).
tff(type_def_19,type,
fun_a_2117018159e_bool: $tType ).
tff(type_def_20,type,
fun_state_state: $tType ).
tff(type_def_21,type,
fun_state_bool: $tType ).
tff(type_def_22,type,
fun_state_nat: $tType ).
tff(type_def_23,type,
fun_st1506752259e_bool: $tType ).
tff(type_def_24,type,
fun_st2116860965l_bool: $tType ).
tff(type_def_25,type,
fun_st1816159843_state: $tType ).
tff(type_def_26,type,
fun_st2063251938l_bool: $tType ).
tff(type_def_27,type,
fun_st1483075957e_bool: $tType ).
tff(type_def_28,type,
fun_st2072884720_state: $tType ).
tff(type_def_29,type,
fun_st623980505e_bool: $tType ).
tff(type_def_30,type,
fun_vn299216483_state: $tType ).
tff(type_def_31,type,
fun_vn774578976_state: $tType ).
tff(type_def_32,type,
fun_bool_bool: $tType ).
tff(type_def_33,type,
fun_bo675861616e_bool: $tType ).
tff(type_def_34,type,
fun_bo1936561970e_bool: $tType ).
tff(type_def_35,type,
fun_bo898473669e_bool: $tType ).
tff(type_def_36,type,
fun_bo1549164019l_bool: $tType ).
tff(type_def_37,type,
fun_bo873159128a_bool: $tType ).
tff(type_def_38,type,
fun_bo221168653e_bool: $tType ).
tff(type_def_39,type,
fun_bo1570548802t_bool: $tType ).
tff(type_def_40,type,
fun_bo45372054l_bool: $tType ).
tff(type_def_41,type,
fun_Ho287446294a_bool: $tType ).
tff(type_def_42,type,
fun_Ho1275796541iple_a: $tType ).
tff(type_def_43,type,
fun_Ho1528294576_state: $tType ).
tff(type_def_44,type,
fun_Ho753038759_a_nat: $tType ).
tff(type_def_45,type,
fun_Ho1937021500l_bool: $tType ).
tff(type_def_46,type,
fun_Ho965678415a_bool: $tType ).
tff(type_def_47,type,
fun_Ho115022426iple_a: $tType ).
tff(type_def_48,type,
fun_Ho316875795iple_a: $tType ).
tff(type_def_49,type,
fun_Ho480463728iple_a: $tType ).
tff(type_def_50,type,
fun_Ho448013557l_bool: $tType ).
tff(type_def_51,type,
fun_Ho611385006a_bool: $tType ).
tff(type_def_52,type,
fun_Ho1996104121e_bool: $tType ).
tff(type_def_53,type,
fun_Ho1202345178iple_a: $tType ).
tff(type_def_54,type,
fun_Ho1455141843_state: $tType ).
tff(type_def_55,type,
fun_Ho1284378692te_nat: $tType ).
tff(type_def_56,type,
fun_Ho1896286681l_bool: $tType ).
tff(type_def_57,type,
fun_Ho1675781772_state: $tType ).
tff(type_def_58,type,
fun_Ho1695028467e_bool: $tType ).
tff(type_def_59,type,
fun_Ho784854669_state: $tType ).
tff(type_def_60,type,
fun_Ho1085560331l_bool: $tType ).
tff(type_def_61,type,
fun_Ho1110608055e_bool: $tType ).
tff(type_def_62,type,
fun_nat_state: $tType ).
tff(type_def_63,type,
fun_nat_bool: $tType ).
tff(type_def_64,type,
fun_na98436179iple_a: $tType ).
tff(type_def_65,type,
fun_na1612816666_state: $tType ).
tff(type_def_66,type,
fun_nat_nat: $tType ).
tff(type_def_67,type,
fun_na810848752_state: $tType ).
tff(type_def_68,type,
fun_na1469252690l_bool: $tType ).
tff(type_def_69,type,
fun_na1678609370_a_nat: $tType ).
tff(type_def_70,type,
fun_na913373671te_nat: $tType ).
tff(type_def_71,type,
fun_nat_fun_nat_bool: $tType ).
tff(type_def_72,type,
fun_nat_fun_nat_nat: $tType ).
tff(type_def_73,type,
fun_na1436237685l_bool: $tType ).
tff(type_def_74,type,
fun_na35521688t_bool: $tType ).
tff(type_def_75,type,
fun_fu1740061501e_bool: $tType ).
tff(type_def_76,type,
fun_fu2118559873l_bool: $tType ).
tff(type_def_77,type,
fun_fu278206227e_bool: $tType ).
tff(type_def_78,type,
fun_fu1591723597e_bool: $tType ).
tff(type_def_79,type,
fun_fu2008829792e_bool: $tType ).
tff(type_def_80,type,
fun_fu222103665e_bool: $tType ).
tff(type_def_81,type,
fun_fu1009378087e_bool: $tType ).
tff(type_def_82,type,
fun_fu734682033e_bool: $tType ).
tff(type_def_83,type,
fun_fu796809180e_bool: $tType ).
tff(type_def_84,type,
fun_fu78956742e_bool: $tType ).
tff(type_def_85,type,
fun_fu1943159897e_bool: $tType ).
tff(type_def_86,type,
fun_fu281355805e_bool: $tType ).
tff(type_def_87,type,
fun_fu373216837e_bool: $tType ).
tff(type_def_88,type,
fun_fu1998731480e_bool: $tType ).
tff(type_def_89,type,
fun_fu1658206819l_bool: $tType ).
tff(type_def_90,type,
fun_fu2127278875e_bool: $tType ).
tff(type_def_91,type,
fun_fu978939117_state: $tType ).
tff(type_def_92,type,
fun_fu402792811e_bool: $tType ).
tff(type_def_93,type,
fun_fu1982748883l_bool: $tType ).
tff(type_def_94,type,
fun_fu222624065e_bool: $tType ).
tff(type_def_95,type,
fun_fu1454697805e_bool: $tType ).
tff(type_def_96,type,
fun_fu1067796093_state: $tType ).
tff(type_def_97,type,
fun_fu1219323149e_bool: $tType ).
tff(type_def_98,type,
fun_fu1047394976e_bool: $tType ).
tff(type_def_99,type,
fun_fu13754701e_bool: $tType ).
tff(type_def_100,type,
fun_fu311321661_state: $tType ).
tff(type_def_101,type,
fun_fu227828410_state: $tType ).
tff(type_def_102,type,
fun_fu675440535e_bool: $tType ).
tff(type_def_103,type,
fun_fu88048803e_bool: $tType ).
tff(type_def_104,type,
fun_fu796044527a_bool: $tType ).
tff(type_def_105,type,
fun_fu10608219e_bool: $tType ).
tff(type_def_106,type,
fun_fu1509210819t_bool: $tType ).
tff(type_def_107,type,
fun_fu1360099227l_bool: $tType ).
tff(type_def_108,type,
fun_fu1873708859l_bool: $tType ).
tff(type_def_109,type,
fun_fu1181695983l_bool: $tType ).
tff(type_def_110,type,
fun_fu204765059l_bool: $tType ).
tff(type_def_111,type,
fun_fu1849968923l_bool: $tType ).
tff(type_def_112,type,
fun_fu1454296643l_bool: $tType ).
tff(type_def_113,type,
fun_fu1441721944l_bool: $tType ).
tff(type_def_114,type,
fun_fu1634330235iple_a: $tType ).
tff(type_def_115,type,
fun_fu410471825a_bool: $tType ).
tff(type_def_116,type,
fun_fu1965278231l_bool: $tType ).
tff(type_def_117,type,
fun_fu605018442a_bool: $tType ).
tff(type_def_118,type,
fun_fu629000755l_bool: $tType ).
tff(type_def_119,type,
fun_fu601883884a_bool: $tType ).
tff(type_def_120,type,
fun_fu429465874a_bool: $tType ).
tff(type_def_121,type,
fun_fu312520138a_bool: $tType ).
tff(type_def_122,type,
fun_fu36510979a_bool: $tType ).
tff(type_def_123,type,
fun_fu1651165456a_bool: $tType ).
tff(type_def_124,type,
fun_fu1184349593a_bool: $tType ).
tff(type_def_125,type,
fun_fu1749506137a_bool: $tType ).
tff(type_def_126,type,
fun_fu689207471l_bool: $tType ).
tff(type_def_127,type,
fun_fu385705929_state: $tType ).
tff(type_def_128,type,
fun_fu1296727421e_bool: $tType ).
tff(type_def_129,type,
fun_fu811519275l_bool: $tType ).
tff(type_def_130,type,
fun_fu775812037e_bool: $tType ).
tff(type_def_131,type,
fun_fu1173762305l_bool: $tType ).
tff(type_def_132,type,
fun_fu947547457e_bool: $tType ).
tff(type_def_133,type,
fun_fu1856979029e_bool: $tType ).
tff(type_def_134,type,
fun_fu572183031e_bool: $tType ).
tff(type_def_135,type,
fun_fu302189515e_bool: $tType ).
tff(type_def_136,type,
fun_fu1771441039e_bool: $tType ).
tff(type_def_137,type,
fun_fu1067265135e_bool: $tType ).
tff(type_def_138,type,
fun_fu349737825e_bool: $tType ).
tff(type_def_139,type,
fun_fu425979586l_bool: $tType ).
tff(type_def_140,type,
fun_fun_nat_bool_nat: $tType ).
tff(type_def_141,type,
fun_fu1016514960l_bool: $tType ).
tff(type_def_142,type,
fun_fu821463397t_bool: $tType ).
tff(type_def_143,type,
fun_fu2104074051l_bool: $tType ).
tff(type_def_144,type,
fun_fu429110920t_bool: $tType ).
tff(type_def_145,type,
fun_fu1217155507l_bool: $tType ).
tff(type_def_146,type,
fun_fu915923926t_bool: $tType ).
tff(type_def_147,type,
fun_fu1436348701l_bool: $tType ).
tff(type_def_148,type,
fun_fu1516990510l_bool: $tType ).
tff(type_def_149,type,
fun_fu717290361t_bool: $tType ).
tff(type_def_150,type,
fun_fu1901564496t_bool: $tType ).
tff(type_def_151,type,
fun_fu531872008t_bool: $tType ).
tff(type_def_152,type,
fun_fu1733046955t_bool: $tType ).
tff(type_def_153,type,
fun_fu2023981606t_bool: $tType ).
tff(type_def_154,type,
fun_fu687803393t_bool: $tType ).
tff(type_def_155,type,
fun_fu80187629t_bool: $tType ).
tff(type_def_156,type,
fun_fu1538037805t_bool: $tType ).
tff(type_def_157,type,
fun_fu257852021e_bool: $tType ).
tff(type_def_158,type,
fun_fu1807063587e_bool: $tType ).
tff(type_def_159,type,
fun_fu1340893257l_bool: $tType ).
tff(type_def_160,type,
fun_fu960651291l_bool: $tType ).
tff(type_def_161,type,
fun_fu817723125e_bool: $tType ).
tff(type_def_162,type,
fun_fu2086781859e_bool: $tType ).
tff(type_def_163,type,
fun_fu1860059197e_bool: $tType ).
tff(type_def_164,type,
fun_fu620092349e_bool: $tType ).
tff(type_def_165,type,
fun_fu1631777789e_bool: $tType ).
tff(type_def_166,type,
fun_fu1132583599a_bool: $tType ).
tff(type_def_167,type,
fun_fu70927933a_bool: $tType ).
tff(type_def_168,type,
fun_fu2123829857a_bool: $tType ).
tff(type_def_169,type,
fun_fu984131467e_bool: $tType ).
tff(type_def_170,type,
fun_fu2079320957e_bool: $tType ).
tff(type_def_171,type,
fun_fu991462475e_bool: $tType ).
tff(type_def_172,type,
fun_fu814369080l_bool: $tType ).
tff(type_def_173,type,
fun_fu616551101l_bool: $tType ).
tff(type_def_174,type,
fun_fu24963051l_bool: $tType ).
tff(type_def_175,type,
fun_fu1402718723t_bool: $tType ).
tff(type_def_176,type,
fun_fu898693662l_bool: $tType ).
tff(type_def_177,type,
fun_fu820922699l_bool: $tType ).
tff(type_def_178,type,
fun_fu257437713t_bool: $tType ).
tff(type_def_179,type,
fun_fu1738364513t_bool: $tType ).
tff(type_def_180,type,
fun_fu502475293l_bool: $tType ).
tff(func_def_0,type,
big_la43341705in_nat: fun_fun_nat_bool_nat ).
tff(func_def_1,type,
big_se275732192ig_nat: ( fun_nat_fun_nat_nat * fun_fun_nat_bool_nat ) > bool ).
tff(func_def_2,type,
cOMBB_844853809_state: fun_fu2127278875e_bool ).
tff(func_def_3,type,
cOMBB_160679318_state: fun_fu88048803e_bool ).
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: ( vname * fun_state_nat ) > com ).
tff(func_def_77,type,
local: ( loc * fun_state_nat * com ) > 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_Ho115022426iple_a * fun_Ho287446294a_bool ) > fun_Ho287446294a_bool ).
tff(func_def_91,type,
finite1016865319_state: ( fun_Ho784854669_state * fun_Ho1996104121e_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_92,type,
finite_fold1Set_nat: ( fun_nat_fun_nat_nat * fun_nat_bool ) > 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: ( fun_Ho115022426iple_a * hoare_1544627872iple_a ) > fun_fu1634330235iple_a ).
tff(func_def_97,type,
finite113656430a_bool: ( fun_Ho611385006a_bool * fun_Ho287446294a_bool ) > fun_fu410471825a_bool ).
tff(func_def_98,type,
finite2136361956_state: ( fun_Ho784854669_state * hoare_1875481847_state ) > fun_fu385705929_state ).
tff(func_def_99,type,
finite1131674252e_bool: ( fun_Ho1110608055e_bool * fun_Ho1996104121e_bool ) > fun_fu1296727421e_bool ).
tff(func_def_100,type,
finite_fold_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_fun_nat_bool_nat ).
tff(func_def_101,type,
finite1578363458t_bool: ( fun_na35521688t_bool * fun_nat_bool ) > fun_fu821463397t_bool ).
tff(func_def_102,type,
finite1341991622iple_a: ( fun_Ho115022426iple_a * hoare_1544627872iple_a * fun_Ho287446294a_bool ) > fun_Ho287446294a_bool ).
tff(func_def_103,type,
finite1721989730_state: ( fun_Ho784854669_state * hoare_1875481847_state * fun_Ho1996104121e_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_104,type,
finite929467206at_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_105,type,
finite1847914781iple_a: ( fun_Ho115022426iple_a * fun_fu1634330235iple_a ) > bool ).
tff(func_def_106,type,
finite1782051386_state: ( fun_Ho784854669_state * fun_fu385705929_state ) > bool ).
tff(func_def_107,type,
finite988810631ne_nat: ( fun_nat_fun_nat_nat * fun_fun_nat_bool_nat ) > bool ).
tff(func_def_108,type,
finite1127948314iple_a: ( fun_Ho115022426iple_a * fun_fu1634330235iple_a ) > bool ).
tff(func_def_109,type,
finite1514162941_state: ( fun_Ho784854669_state * fun_fu385705929_state ) > bool ).
tff(func_def_110,type,
finite795500164em_nat: ( fun_nat_fun_nat_nat * fun_fun_nat_bool_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: ( com * state * nat * state ) > bool ).
tff(func_def_137,type,
getlocs: ( state * loc ) > 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_Ho1275796541iple_a * fun_Ho287446294a_bool ) > fun_Ho287446294a_bool ).
tff(func_def_158,type,
image_456807122_state: ( fun_Ho1528294576_state * fun_Ho287446294a_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_159,type,
image_1667308271_a_nat: ( fun_Ho753038759_a_nat * fun_Ho287446294a_bool ) > fun_nat_bool ).
tff(func_def_160,type,
image_299889782iple_a: ( fun_Ho1202345178iple_a * fun_Ho1996104121e_bool ) > fun_Ho287446294a_bool ).
tff(func_def_161,type,
image_436941729_state: ( fun_Ho1455141843_state * fun_Ho1996104121e_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_162,type,
image_1722141408te_nat: ( fun_Ho1284378692te_nat * fun_Ho1996104121e_bool ) > fun_nat_bool ).
tff(func_def_163,type,
image_1960063643iple_a: ( fun_na98436179iple_a * fun_nat_bool ) > fun_Ho287446294a_bool ).
tff(func_def_164,type,
image_681421628_state: ( fun_na1612816666_state * fun_nat_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_165,type,
image_nat_nat: ( fun_nat_nat * fun_nat_bool ) > 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: ( fun_a_fun_state_bool * x_a ) > fun_state_bool ).
tff(func_def_187,type,
hAPP_a849909144l_bool: ( fun_a_1632297036l_bool * x_a ) > fun_st2063251938l_bool ).
tff(func_def_188,type,
hAPP_a723219176e_bool: ( fun_a_998512028e_bool * x_a ) > fun_bo1936561970e_bool ).
tff(func_def_189,type,
hAPP_a1224971408e_bool: ( fun_a_340690546e_bool * x_a ) > fun_fu78956742e_bool ).
tff(func_def_190,type,
hAPP_a1200519163e_bool: ( fun_a_2117018159e_bool * x_a ) > fun_fu373216837e_bool ).
tff(func_def_191,type,
hAPP_state_state: ( fun_state_state * state ) > state ).
tff(func_def_192,type,
hAPP_state_bool: ( fun_state_bool * state ) > bool ).
tff(func_def_193,type,
hAPP_state_nat: ( fun_state_nat * state ) > nat ).
tff(func_def_194,type,
hAPP_s1806633685e_bool: ( fun_st1506752259e_bool * state ) > fun_state_bool ).
tff(func_def_195,type,
hAPP_s2001034685l_bool: ( fun_st2116860965l_bool * state ) > fun_st2063251938l_bool ).
tff(func_def_196,type,
hAPP_s712361723_state: ( fun_st1816159843_state * state ) > fun_vn774578976_state ).
tff(func_def_197,type,
hAPP_s58564346l_bool: ( fun_st2063251938l_bool * state ) > fun_bool_bool ).
tff(func_def_198,type,
hAPP_s1874344717e_bool: ( fun_st1483075957e_bool * state ) > fun_bo1936561970e_bool ).
tff(func_def_199,type,
hAPP_s1892499976_state: ( fun_st2072884720_state * state ) > fun_nat_state ).
tff(func_def_200,type,
hAPP_s286259371e_bool: ( fun_st623980505e_bool * state ) > fun_fu78956742e_bool ).
tff(func_def_201,type,
hAPP_v365393659_state: ( fun_vn299216483_state * vname ) > fun_st2072884720_state ).
tff(func_def_202,type,
hAPP_v594194232_state: ( fun_vn774578976_state * vname ) > fun_nat_state ).
tff(func_def_203,type,
hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff(func_def_204,type,
hAPP_b540892988e_bool: ( fun_bo675861616e_bool * bool ) > fun_a_fun_state_bool ).
tff(func_def_205,type,
hAPP_b2019457360e_bool: ( fun_bo1936561970e_bool * bool ) > fun_state_bool ).
tff(func_def_206,type,
hAPP_b1095269219e_bool: ( fun_bo898473669e_bool * bool ) > fun_st1506752259e_bool ).
tff(func_def_207,type,
hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).
tff(func_def_208,type,
hAPP_b704538998a_bool: ( fun_bo873159128a_bool * bool ) > fun_Ho287446294a_bool ).
tff(func_def_209,type,
hAPP_b1906038105e_bool: ( fun_bo221168653e_bool * bool ) > fun_Ho1996104121e_bool ).
tff(func_def_210,type,
hAPP_b1013836512t_bool: ( fun_bo1570548802t_bool * bool ) > fun_nat_bool ).
tff(func_def_211,type,
hAPP_b1630757474l_bool: ( fun_bo45372054l_bool * bool ) > fun_fu425979586l_bool ).
tff(func_def_212,type,
hAPP_H2006434664a_bool: ( fun_Ho287446294a_bool * hoare_1544627872iple_a ) > bool ).
tff(func_def_213,type,
hAPP_H9461717iple_a: ( fun_Ho1275796541iple_a * hoare_1544627872iple_a ) > hoare_1544627872iple_a ).
tff(func_def_214,type,
hAPP_H1928101250_state: ( fun_Ho1528294576_state * hoare_1544627872iple_a ) > hoare_1875481847_state ).
tff(func_def_215,type,
hAPP_H63220799_a_nat: ( fun_Ho753038759_a_nat * hoare_1544627872iple_a ) > nat ).
tff(func_def_216,type,
hAPP_H320345684l_bool: ( fun_Ho1937021500l_bool * hoare_1544627872iple_a ) > fun_bool_bool ).
tff(func_def_217,type,
hAPP_H1472549281a_bool: ( fun_Ho965678415a_bool * hoare_1544627872iple_a ) > fun_Ho287446294a_bool ).
tff(func_def_218,type,
hAPP_H1988213490iple_a: ( fun_Ho115022426iple_a * hoare_1544627872iple_a ) > fun_Ho1275796541iple_a ).
tff(func_def_219,type,
hAPP_H180680677iple_a: ( fun_Ho316875795iple_a * hoare_1544627872iple_a ) > fun_Ho1202345178iple_a ).
tff(func_def_220,type,
hAPP_H325842184iple_a: ( fun_Ho480463728iple_a * hoare_1544627872iple_a ) > fun_na98436179iple_a ).
tff(func_def_221,type,
hAPP_H736103437l_bool: ( fun_Ho448013557l_bool * hoare_1544627872iple_a ) > fun_fu1441721944l_bool ).
tff(func_def_222,type,
hAPP_H762155206a_bool: ( fun_Ho611385006a_bool * hoare_1544627872iple_a ) > fun_fu410471825a_bool ).
tff(func_def_223,type,
hAPP_H1173941847e_bool: ( fun_Ho1996104121e_bool * hoare_1875481847_state ) > bool ).
tff(func_def_224,type,
hAPP_H1771183910iple_a: ( fun_Ho1202345178iple_a * hoare_1875481847_state ) > hoare_1544627872iple_a ).
tff(func_def_225,type,
hAPP_H350317809_state: ( fun_Ho1455141843_state * hoare_1875481847_state ) > hoare_1875481847_state ).
tff(func_def_226,type,
hAPP_H1027528080te_nat: ( fun_Ho1284378692te_nat * hoare_1875481847_state ) > nat ).
tff(func_def_227,type,
hAPP_H377399461l_bool: ( fun_Ho1896286681l_bool * hoare_1875481847_state ) > fun_bool_bool ).
tff(func_def_228,type,
hAPP_H296470442_state: ( fun_Ho1675781772_state * hoare_1875481847_state ) > fun_Ho1528294576_state ).
tff(func_def_229,type,
hAPP_H117293375e_bool: ( fun_Ho1695028467e_bool * hoare_1875481847_state ) > fun_Ho1996104121e_bool ).
tff(func_def_230,type,
hAPP_H743221337_state: ( fun_Ho784854669_state * hoare_1875481847_state ) > fun_Ho1455141843_state ).
tff(func_def_231,type,
hAPP_H810811817l_bool: ( fun_Ho1085560331l_bool * hoare_1875481847_state ) > fun_fu689207471l_bool ).
tff(func_def_232,type,
hAPP_H1625489667e_bool: ( fun_Ho1110608055e_bool * hoare_1875481847_state ) > fun_fu1296727421e_bool ).
tff(func_def_233,type,
hAPP_nat_state: ( fun_nat_state * nat ) > state ).
tff(func_def_234,type,
hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(func_def_235,type,
hAPP_n355976171iple_a: ( fun_na98436179iple_a * nat ) > hoare_1544627872iple_a ).
tff(func_def_236,type,
hAPP_n2134291948_state: ( fun_na1612816666_state * nat ) > hoare_1875481847_state ).
tff(func_def_237,type,
hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(func_def_238,type,
hAPP_n1547241352_state: ( fun_na810848752_state * nat ) > fun_state_state ).
tff(func_def_239,type,
hAPP_n1006566506l_bool: ( fun_na1469252690l_bool * nat ) > fun_bool_bool ).
tff(func_def_240,type,
hAPP_n1125129074_a_nat: ( fun_na1678609370_a_nat * nat ) > fun_Ho753038759_a_nat ).
tff(func_def_241,type,
hAPP_n747866297te_nat: ( fun_na913373671te_nat * nat ) > fun_Ho1284378692te_nat ).
tff(func_def_242,type,
hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(func_def_243,type,
hAPP_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).
tff(func_def_244,type,
hAPP_n215258509l_bool: ( fun_na1436237685l_bool * nat ) > fun_fu425979586l_bool ).
tff(func_def_245,type,
hAPP_n1512601776t_bool: ( fun_na35521688t_bool * nat ) > fun_fu821463397t_bool ).
tff(func_def_246,type,
hAPP_f769584981e_bool: ( fun_fu1740061501e_bool * fun_a_fun_state_bool ) > fun_a_fun_state_bool ).
tff(func_def_247,type,
hAPP_f1509969235l_bool: ( fun_fu2118559873l_bool * fun_a_fun_state_bool ) > fun_a_1632297036l_bool ).
tff(func_def_248,type,
hAPP_f1406200875e_bool: ( fun_fu278206227e_bool * fun_a_fun_state_bool ) > fun_a_340690546e_bool ).
tff(func_def_249,type,
hAPP_f340725611e_bool: ( fun_fu1591723597e_bool * fun_a_1632297036l_bool ) > fun_a_998512028e_bool ).
tff(func_def_250,type,
hAPP_f963367678e_bool: ( fun_fu2008829792e_bool * fun_a_1632297036l_bool ) > fun_a_2117018159e_bool ).
tff(func_def_251,type,
hAPP_f1824947087e_bool: ( fun_fu222103665e_bool * fun_a_998512028e_bool ) > fun_bo675861616e_bool ).
tff(func_def_252,type,
hAPP_f1460451647e_bool: ( fun_fu1009378087e_bool * fun_a_340690546e_bool ) > fun_fu796809180e_bool ).
tff(func_def_253,type,
hAPP_f1261923407e_bool: ( fun_fu734682033e_bool * fun_a_2117018159e_bool ) > fun_fu281355805e_bool ).
tff(func_def_254,type,
hAPP_f100967412e_bool: ( fun_fu796809180e_bool * fun_state_state ) > fun_a_fun_state_bool ).
tff(func_def_255,type,
hAPP_f746301080e_bool: ( fun_fu78956742e_bool * fun_state_state ) > fun_state_bool ).
tff(func_def_256,type,
hAPP_f1838002347e_bool: ( fun_fu1943159897e_bool * fun_state_state ) > fun_st1506752259e_bool ).
tff(func_def_257,type,
hAPP_f762886889e_bool: ( fun_fu281355805e_bool * fun_state_bool ) > fun_a_fun_state_bool ).
tff(func_def_258,type,
hAPP_f1759915619e_bool: ( fun_fu373216837e_bool * fun_state_bool ) > fun_state_bool ).
tff(func_def_259,type,
hAPP_f1863945078e_bool: ( fun_fu1998731480e_bool * fun_state_bool ) > fun_st1506752259e_bool ).
tff(func_def_260,type,
hAPP_f1259673775l_bool: ( fun_fu1658206819l_bool * fun_state_bool ) > fun_st2063251938l_bool ).
tff(func_def_261,type,
hAPP_f162060345e_bool: ( fun_fu2127278875e_bool * fun_state_bool ) > fun_fu78956742e_bool ).
tff(func_def_262,type,
hAPP_f871651461_state: ( fun_fu978939117_state * fun_state_nat ) > fun_state_state ).
tff(func_def_263,type,
hAPP_f817621513e_bool: ( fun_fu402792811e_bool * fun_st1506752259e_bool ) > fun_st1506752259e_bool ).
tff(func_def_264,type,
hAPP_f1283379615l_bool: ( fun_fu1982748883l_bool * fun_st1506752259e_bool ) > fun_st2116860965l_bool ).
tff(func_def_265,type,
hAPP_f289738463e_bool: ( fun_fu222624065e_bool * fun_st1506752259e_bool ) > fun_st623980505e_bool ).
tff(func_def_266,type,
hAPP_f873506917e_bool: ( fun_fu1454697805e_bool * fun_st2116860965l_bool ) > fun_st1483075957e_bool ).
tff(func_def_267,type,
hAPP_f1542232213_state: ( fun_fu1067796093_state * fun_st1816159843_state ) > fun_vn299216483_state ).
tff(func_def_268,type,
hAPP_f167292325e_bool: ( fun_fu1219323149e_bool * fun_st2063251938l_bool ) > fun_bo1936561970e_bool ).
tff(func_def_269,type,
hAPP_f644196280e_bool: ( fun_fu1047394976e_bool * fun_st2063251938l_bool ) > fun_fu373216837e_bool ).
tff(func_def_270,type,
hAPP_f701449317e_bool: ( fun_fu13754701e_bool * fun_st1483075957e_bool ) > fun_bo898473669e_bool ).
tff(func_def_271,type,
hAPP_f1848060885_state: ( fun_fu311321661_state * fun_st2072884720_state ) > fun_na810848752_state ).
tff(func_def_272,type,
hAPP_f851239890_state: ( fun_fu227828410_state * fun_st2072884720_state ) > fun_fu978939117_state ).
tff(func_def_273,type,
hAPP_f1706273077e_bool: ( fun_fu675440535e_bool * fun_st623980505e_bool ) > fun_fu1943159897e_bool ).
tff(func_def_274,type,
hAPP_f2073279419e_bool: ( fun_fu88048803e_bool * fun_bool_bool ) > fun_fu373216837e_bool ).
tff(func_def_275,type,
hAPP_f1524052231a_bool: ( fun_fu796044527a_bool * fun_bool_bool ) > fun_fu410471825a_bool ).
tff(func_def_276,type,
hAPP_f263911411e_bool: ( fun_fu10608219e_bool * fun_bool_bool ) > fun_fu1296727421e_bool ).
tff(func_def_277,type,
hAPP_f894608603t_bool: ( fun_fu1509210819t_bool * fun_bool_bool ) > fun_fu821463397t_bool ).
tff(func_def_278,type,
hAPP_f1164891443l_bool: ( fun_fu1360099227l_bool * fun_bool_bool ) > fun_fu616551101l_bool ).
tff(func_def_279,type,
hAPP_f1561913689l_bool: ( fun_fu1873708859l_bool * fun_bo1549164019l_bool ) > fun_fu1658206819l_bool ).
tff(func_def_280,type,
hAPP_f11333901l_bool: ( fun_fu1181695983l_bool * fun_bo1549164019l_bool ) > fun_fu1965278231l_bool ).
tff(func_def_281,type,
hAPP_f1158435105l_bool: ( fun_fu204765059l_bool * fun_bo1549164019l_bool ) > fun_fu811519275l_bool ).
tff(func_def_282,type,
hAPP_f1080886329l_bool: ( fun_fu1849968923l_bool * fun_bo1549164019l_bool ) > fun_fu2104074051l_bool ).
tff(func_def_283,type,
hAPP_f857404385l_bool: ( fun_fu1454296643l_bool * fun_bo1549164019l_bool ) > fun_fu24963051l_bool ).
tff(func_def_284,type,
hAPP_f2063540982l_bool: ( fun_fu1441721944l_bool * fun_Ho287446294a_bool ) > bool ).
tff(func_def_285,type,
hAPP_f1853245639iple_a: ( fun_fu1634330235iple_a * fun_Ho287446294a_bool ) > hoare_1544627872iple_a ).
tff(func_def_286,type,
hAPP_f909437487a_bool: ( fun_fu410471825a_bool * fun_Ho287446294a_bool ) > fun_Ho287446294a_bool ).
tff(func_def_287,type,
hAPP_f224574947l_bool: ( fun_fu1965278231l_bool * fun_Ho287446294a_bool ) > fun_Ho1937021500l_bool ).
tff(func_def_288,type,
hAPP_f693853672a_bool: ( fun_fu605018442a_bool * fun_Ho287446294a_bool ) > fun_Ho965678415a_bool ).
tff(func_def_289,type,
hAPP_f1876759039l_bool: ( fun_fu629000755l_bool * fun_Ho287446294a_bool ) > fun_fu1441721944l_bool ).
tff(func_def_290,type,
hAPP_f439328184a_bool: ( fun_fu601883884a_bool * fun_Ho287446294a_bool ) > fun_fu410471825a_bool ).
tff(func_def_291,type,
hAPP_f1099051562a_bool: ( fun_fu429465874a_bool * fun_Ho1937021500l_bool ) > fun_fu410471825a_bool ).
tff(func_def_292,type,
hAPP_f1726109544a_bool: ( fun_fu312520138a_bool * fun_Ho965678415a_bool ) > fun_Ho287446294a_bool ).
tff(func_def_293,type,
hAPP_f1878404769a_bool: ( fun_fu36510979a_bool * fun_Ho965678415a_bool ) > fun_Ho965678415a_bool ).
tff(func_def_294,type,
hAPP_f915134428a_bool: ( fun_fu1651165456a_bool * fun_Ho965678415a_bool ) > fun_Ho611385006a_bool ).
tff(func_def_295,type,
hAPP_f482270129a_bool: ( fun_fu1184349593a_bool * fun_Ho448013557l_bool ) > fun_fu410471825a_bool ).
tff(func_def_296,type,
hAPP_f1399402097a_bool: ( fun_fu1749506137a_bool * fun_Ho611385006a_bool ) > fun_fu605018442a_bool ).
tff(func_def_297,type,
hAPP_f1408815105l_bool: ( fun_fu689207471l_bool * fun_Ho1996104121e_bool ) > bool ).
tff(func_def_298,type,
hAPP_f890249627_state: ( fun_fu385705929_state * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).
tff(func_def_299,type,
hAPP_f121055253e_bool: ( fun_fu1296727421e_bool * fun_Ho1996104121e_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_300,type,
hAPP_f932622461l_bool: ( fun_fu811519275l_bool * fun_Ho1996104121e_bool ) > fun_Ho1896286681l_bool ).
tff(func_def_301,type,
hAPP_f56162711e_bool: ( fun_fu775812037e_bool * fun_Ho1996104121e_bool ) > fun_Ho1695028467e_bool ).
tff(func_def_302,type,
hAPP_f1873026899l_bool: ( fun_fu1173762305l_bool * fun_Ho1996104121e_bool ) > fun_fu689207471l_bool ).
tff(func_def_303,type,
hAPP_f1204759513e_bool: ( fun_fu947547457e_bool * fun_Ho1996104121e_bool ) > fun_fu1296727421e_bool ).
tff(func_def_304,type,
hAPP_f1300953505e_bool: ( fun_fu1856979029e_bool * fun_Ho1896286681l_bool ) > fun_fu1296727421e_bool ).
tff(func_def_305,type,
hAPP_f169892419e_bool: ( fun_fu572183031e_bool * fun_Ho1695028467e_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_306,type,
hAPP_f2101312745e_bool: ( fun_fu302189515e_bool * fun_Ho1695028467e_bool ) > fun_Ho1695028467e_bool ).
tff(func_def_307,type,
hAPP_f1821865133e_bool: ( fun_fu1771441039e_bool * fun_Ho1695028467e_bool ) > fun_Ho1110608055e_bool ).
tff(func_def_308,type,
hAPP_f1795624711e_bool: ( fun_fu1067265135e_bool * fun_Ho1085560331l_bool ) > fun_fu1296727421e_bool ).
tff(func_def_309,type,
hAPP_f392546175e_bool: ( fun_fu349737825e_bool * fun_Ho1110608055e_bool ) > fun_fu775812037e_bool ).
tff(func_def_310,type,
hAPP_f54304608l_bool: ( fun_fu425979586l_bool * fun_nat_bool ) > bool ).
tff(func_def_311,type,
hAPP_f22106695ol_nat: ( fun_fun_nat_bool_nat * fun_nat_bool ) > nat ).
tff(func_def_312,type,
hAPP_f1748468828l_bool: ( fun_fu1016514960l_bool * fun_nat_bool ) > fun_bool_bool ).
tff(func_def_313,type,
hAPP_f800510211t_bool: ( fun_fu821463397t_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_314,type,
hAPP_f1146629647l_bool: ( fun_fu2104074051l_bool * fun_nat_bool ) > fun_na1469252690l_bool ).
tff(func_def_315,type,
hAPP_f1570313510t_bool: ( fun_fu429110920t_bool * fun_nat_bool ) > fun_nat_fun_nat_bool ).
tff(func_def_316,type,
hAPP_f103356543l_bool: ( fun_fu1217155507l_bool * fun_nat_bool ) > fun_fu425979586l_bool ).
tff(func_def_317,type,
hAPP_f1730770594t_bool: ( fun_fu915923926t_bool * fun_nat_bool ) > fun_fu821463397t_bool ).
tff(func_def_318,type,
hAPP_f1951378235l_bool: ( fun_fu1436348701l_bool * fun_nat_bool ) > fun_fu814369080l_bool ).
tff(func_def_319,type,
hAPP_f633452666l_bool: ( fun_fu1516990510l_bool * fun_nat_bool ) > fun_fu616551101l_bool ).
tff(func_def_320,type,
hAPP_f618557131t_bool: ( fun_fu717290361t_bool * fun_nat_nat ) > fun_nat_fun_nat_bool ).
tff(func_def_321,type,
hAPP_f561022312t_bool: ( fun_fu1901564496t_bool * fun_na1469252690l_bool ) > fun_fu821463397t_bool ).
tff(func_def_322,type,
hAPP_f158894502t_bool: ( fun_fu531872008t_bool * fun_nat_fun_nat_bool ) > fun_nat_bool ).
tff(func_def_323,type,
hAPP_f229349961t_bool: ( fun_fu1733046955t_bool * fun_nat_fun_nat_bool ) > fun_nat_fun_nat_bool ).
tff(func_def_324,type,
hAPP_f10625010t_bool: ( fun_fu2023981606t_bool * fun_nat_fun_nat_bool ) > fun_na35521688t_bool ).
tff(func_def_325,type,
hAPP_f1505651103t_bool: ( fun_fu687803393t_bool * fun_nat_fun_nat_bool ) > fun_fu717290361t_bool ).
tff(func_def_326,type,
hAPP_f1722879237t_bool: ( fun_fu80187629t_bool * fun_na1436237685l_bool ) > fun_fu821463397t_bool ).
tff(func_def_327,type,
hAPP_f688831301t_bool: ( fun_fu1538037805t_bool * fun_na35521688t_bool ) > fun_fu429110920t_bool ).
tff(func_def_328,type,
hAPP_f1159960589e_bool: ( fun_fu257852021e_bool * fun_fu373216837e_bool ) > fun_fu1740061501e_bool ).
tff(func_def_329,type,
hAPP_f512427579e_bool: ( fun_fu1807063587e_bool * fun_fu373216837e_bool ) > fun_fu402792811e_bool ).
tff(func_def_330,type,
hAPP_f1178339559l_bool: ( fun_fu1340893257l_bool * fun_fu1658206819l_bool ) > fun_fu2118559873l_bool ).
tff(func_def_331,type,
hAPP_f1345202233l_bool: ( fun_fu960651291l_bool * fun_fu1658206819l_bool ) > fun_fu1982748883l_bool ).
tff(func_def_332,type,
hAPP_f635443597e_bool: ( fun_fu817723125e_bool * fun_fu2127278875e_bool ) > fun_fu278206227e_bool ).
tff(func_def_333,type,
hAPP_f1151843515e_bool: ( fun_fu2086781859e_bool * fun_fu2127278875e_bool ) > fun_fu222624065e_bool ).
tff(func_def_334,type,
hAPP_f1006724181e_bool: ( fun_fu1860059197e_bool * fun_fu1219323149e_bool ) > fun_fu1591723597e_bool ).
tff(func_def_335,type,
hAPP_f1398071125e_bool: ( fun_fu620092349e_bool * fun_fu1219323149e_bool ) > fun_fu1454697805e_bool ).
tff(func_def_336,type,
hAPP_f375255701e_bool: ( fun_fu1631777789e_bool * fun_fu1047394976e_bool ) > fun_fu2008829792e_bool ).
tff(func_def_337,type,
hAPP_f1948079815a_bool: ( fun_fu1132583599a_bool * fun_fu1441721944l_bool ) > fun_fu312520138a_bool ).
tff(func_def_338,type,
hAPP_f1118475355a_bool: ( fun_fu70927933a_bool * fun_fu601883884a_bool ) > fun_fu601883884a_bool ).
tff(func_def_339,type,
hAPP_f1987684735a_bool: ( fun_fu2123829857a_bool * fun_fu601883884a_bool ) > fun_fu1651165456a_bool ).
tff(func_def_340,type,
hAPP_f1983876009e_bool: ( fun_fu984131467e_bool * fun_fu689207471l_bool ) > fun_fu572183031e_bool ).
tff(func_def_341,type,
hAPP_f961873429e_bool: ( fun_fu2079320957e_bool * fun_fu947547457e_bool ) > fun_fu947547457e_bool ).
tff(func_def_342,type,
hAPP_f967770723e_bool: ( fun_fu991462475e_bool * fun_fu947547457e_bool ) > fun_fu1771441039e_bool ).
tff(func_def_343,type,
hAPP_f1637334154l_bool: ( fun_fu814369080l_bool * fun_fu425979586l_bool ) > bool ).
tff(func_def_344,type,
hAPP_f1246832597l_bool: ( fun_fu616551101l_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_345,type,
hAPP_f1974927549l_bool: ( fun_fu24963051l_bool * fun_fu425979586l_bool ) > fun_fu1016514960l_bool ).
tff(func_def_346,type,
hAPP_f1777703707t_bool: ( fun_fu1402718723t_bool * fun_fu425979586l_bool ) > fun_fu531872008t_bool ).
tff(func_def_347,type,
hAPP_f1743029098l_bool: ( fun_fu898693662l_bool * fun_fu1016514960l_bool ) > fun_fu616551101l_bool ).
tff(func_def_348,type,
hAPP_f643944041l_bool: ( fun_fu820922699l_bool * fun_fu1217155507l_bool ) > fun_fu1217155507l_bool ).
tff(func_def_349,type,
hAPP_f1311642927t_bool: ( fun_fu257437713t_bool * fun_fu915923926t_bool ) > fun_fu915923926t_bool ).
tff(func_def_350,type,
hAPP_f1115950719t_bool: ( fun_fu1738364513t_bool * fun_fu915923926t_bool ) > fun_fu2023981606t_bool ).
tff(func_def_351,type,
hAPP_f1443436725l_bool: ( fun_fu502475293l_bool * fun_fu1436348701l_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,
sK0: ( fun_Ho287446294a_bool * com * fun_a_fun_state_bool * fun_a_fun_state_bool ) > x_a ).
tff(func_def_361,type,
sK1: ( fun_Ho287446294a_bool * com * fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).
tff(func_def_362,type,
sK2: hoare_1544627872iple_a > fun_a_fun_state_bool ).
tff(func_def_363,type,
sK3: hoare_1544627872iple_a > com ).
tff(func_def_364,type,
sK4: hoare_1544627872iple_a > fun_a_fun_state_bool ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(f11,axiom,
! [X0: fun_Ho287446294a_bool,X1: com,X2: fun_a_fun_state_bool,X3: fun_a_fun_state_bool] :
( ! [X4: x_a,X5: state] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5))
=> hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X5)),X1,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(X2,X4)))),bot_bo1766443648a_bool))) )
=> hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X3,X1,X2)),bot_bo1766443648a_bool))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_escape) ).
tff(f709,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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(f804,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(f809,plain,
! [X0: fun_Ho287446294a_bool,X1: com,X2: fun_a_fun_state_bool,X3: fun_a_fun_state_bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X3,X1,X2)),bot_bo1766443648a_bool)))
| ? [X4: x_a,X5: state] :
( ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X5)),X1,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(X2,X4)))),bot_bo1766443648a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5)) ) ),
inference(ennf_transformation,[],[f11]) ).
tff(f819,plain,
! [X0: fun_Ho287446294a_bool,X1: com,X2: fun_a_fun_state_bool,X3: fun_a_fun_state_bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X3,X1,X2)),bot_bo1766443648a_bool)))
| ( ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sK1(X0,X1,X2,X3))),X1,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(X2,sK0(X0,X1,X2,X3))))),bot_bo1766443648a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK0(X0,X1,X2,X3)),sK1(X0,X1,X2,X3))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X4,sK0(X0,X1,X2,X3)),skolemize(X5,sK1(X0,X1,X2,X3))],[f809]) ).
tff(f825,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,[],[f804]) ).
tff(f837,plain,
! [X0: bool,X1: state] : ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 ),
inference(cnf_transformation,[],[f721]) ).
tff(f838,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(f839,plain,
! [X2: fun_a_fun_state_bool,X3: fun_a_fun_state_bool,X0: fun_Ho287446294a_bool,X1: com] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK0(X0,X1,X2,X3)),sK1(X0,X1,X2,X3)))
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X3,X1,X2)),bot_bo1766443648a_bool))) ),
inference(cnf_transformation,[],[f819]) ).
tff(f853,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f709]) ).
tff(f1206,plain,
hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),sK0(g,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)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)))),sK1(g,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)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse))))),
inference(unit_resulting_resolution,[],[f839,f825]) ).
tff(f1213,plain,
hBOOL(hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),sK1(g,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)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse))))),
inference(forward_demodulation,[],[f1206,f838]) ).
tff(f1215,plain,
hBOOL(fFalse),
inference(forward_demodulation,[],[f1213,f837]) ).
tff(f1217,plain,
$false,
inference(forward_subsumption_resolution,[],[f1215,f853]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW470_2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n007.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 14:00:29 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.43/1.84 % (2399495)Detected formulas, will run a generic FOF schedule.
% 6.43/1.84 % (2399649)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1961751121:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.43/1.84 % (2399644)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2303904543:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.43/1.84 % (2399644)Refutation not found, incomplete strategy
% 6.43/1.84 % (2399644)------------------------------
% 6.43/1.84 % (2399644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.84 % (2399644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.84 % (2399644)CaDiCaL version: 2.1.3
% 6.43/1.84 % (2399644)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.84 % (2399644)Time elapsed: 0.010 s
% 6.43/1.84 % (2399644)Peak memory usage: 89 MB
% 6.43/1.84 % (2399644)Instructions burned: 7 (million)
% 6.43/1.84 % (2399640)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4108824338:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.43/1.84 % (2399638)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2109150947:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.43/1.84 % (2399639)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3124839446:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.43/1.84 % (2399649)Instruction limit reached!
% 6.43/1.84 % (2399649)------------------------------
% 6.43/1.84 % (2399649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.84 % (2399649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.84 % (2399649)CaDiCaL version: 2.1.3
% 6.43/1.84 % (2399649)Termination reason: Instruction limit
% 6.43/1.84 % (2399649)Termination phase: Saturation
% 6.43/1.84 % (2399649)Time elapsed: 0.069 s
% 6.43/1.84 % (2399649)Peak memory usage: 91 MB
% 6.43/1.84 % (2399649)Instructions burned: 139 (million)
% 6.43/1.84 % (2399648)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=136701224:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.43/1.84 % (2399650)dis-21_1_sil=8000:lcm=predicate:random_seed=2751669464:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.43/1.84 % (2399648)Instruction limit reached!
% 6.43/1.84 % (2399648)------------------------------
% 6.43/1.84 % (2399648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.84 % (2399648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.84 % (2399648)CaDiCaL version: 2.1.3
% 6.43/1.84 % (2399648)Termination reason: Instruction limit
% 6.43/1.84 % (2399648)Termination phase: Saturation
% 6.43/1.84 % (2399648)Time elapsed: 0.111 s
% 6.43/1.84 % (2399648)Peak memory usage: 89 MB
% 6.43/1.84 % (2399648)Instructions burned: 120 (million)
% 6.43/1.84 % (2399650)Instruction limit reached!
% 6.43/1.84 % (2399650)------------------------------
% 6.43/1.84 % (2399650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.84 % (2399650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.84 % (2399650)CaDiCaL version: 2.1.3
% 6.43/1.84 % (2399650)Termination reason: Instruction limit
% 6.43/1.84 % (2399650)Termination phase: Saturation
% 6.43/1.84 % (2399650)Time elapsed: 0.123 s
% 6.43/1.84 % (2399650)Peak memory usage: 90 MB
% 6.43/1.84 % (2399650)Instructions burned: 131 (million)
% 6.43/1.84 % (2399668)lrs+10_1_sil=8000:sp=occurrence:random_seed=450970429:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 6.43/1.84 % (2399644)------------------------------
% 6.43/1.84 % (2399644)------------------------------
% 6.43/1.84 % (2399673)lrs+10_1_sil=32000:urr=on:br=off:random_seed=955922893:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 6.43/1.84 % (2399668)Instruction limit reached!
% 6.43/1.84 % (2399668)------------------------------
% 6.43/1.84 % (2399668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.84 % (2399668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.84 % (2399668)CaDiCaL version: 2.1.3
% 6.43/1.84 % (2399668)Termination reason: Instruction limit
% 6.43/1.84 % (2399668)Termination phase: Saturation
% 6.43/1.84 % (2399668)Time elapsed: 0.141 s
% 6.43/1.84 % (2399668)Peak memory usage: 91 MB
% 6.43/1.84 % (2399668)Instructions burned: 286 (million)
% 6.43/1.84 % (2399673)First to succeed.
% 6.43/1.84 % (2399674)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1361055160:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.43/1.84 % (2399673)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2399495"
% 6.43/1.84 % (2399678)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1265618637:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.43/1.84 % (2399676)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1434141313:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 6.43/1.84 % (2399678)Also succeeded, but the first one will report.
% 6.43/1.84 % (2399674)Instruction limit reached!
% 6.43/1.84 % (2399674)------------------------------
% 6.43/1.84 % (2399674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.84 % (2399674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.84 % (2399674)CaDiCaL version: 2.1.3
% 6.43/1.84 % (2399674)Termination reason: Instruction limit
% 6.43/1.84 % (2399674)Termination phase: Saturation
% 6.43/1.84 % (2399674)Time elapsed: 0.309 s
% 6.43/1.84 % (2399674)Peak memory usage: 91 MB
% 6.43/1.84 % (2399674)Instructions burned: 325 (million)
% 6.43/1.84 % (2399676)Also succeeded, but the first one will report.
% 6.43/1.84 % (2399673)Refutation found. Thanks to Tanya!
% 6.43/1.84 % SZS status Theorem for theBenchmark
% 6.43/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 8.49/2.12 % (2399673)------------------------------
% 8.49/2.12 % (2399673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.12 % (2399673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.12 % (2399673)CaDiCaL version: 2.1.3
% 8.49/2.12 % (2399673)Termination reason: Refutation
% 8.49/2.12 % (2399673)Time elapsed: 0.046 s
% 8.49/2.12 % (2399673)Peak memory usage: 90 MB
% 8.49/2.12 % (2399673)Instructions burned: 42 (million)
% 8.49/2.12 % (2399673)------------------------------
% 8.49/2.12 % (2399673)------------------------------
% 8.49/2.12 % (2399495)Success in time 1.155 s
% 8.49/2.12 % Vampire exiting
%------------------------------------------------------------------------------