TSTP Solution File: SCT171+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SCT171+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 14:11:32 EDT 2023
% Result : Theorem 0.67s 0.81s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 552
% Syntax : Number of formulae : 559 ( 7 unt; 549 typ; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 786 ( 403 >; 383 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-1 aty)
% Number of functors : 538 ( 538 usr; 146 con; 0-6 aty)
% Number of variables : 0 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
arrow_885770895le_IIA: $i ).
tff(decl_23,type,
is_fun292781289l_bool: $i > $o ).
tff(decl_24,type,
arrow_912654623le_Lin: $i ).
tff(decl_25,type,
is_fun1420103068l_bool: $i > $o ).
tff(decl_26,type,
arrow_583275979e_Prof: $i ).
tff(decl_27,type,
is_fun701126715l_bool: $i > $o ).
tff(decl_28,type,
is_fun20916972t_bool: $i > $o ).
tff(decl_29,type,
is_Arr723427730le_alt: $i > $o ).
tff(decl_30,type,
arrow_207701375_below: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
arrow_1550141362nimity: $i ).
tff(decl_32,type,
finite955821396le_alt: $i ).
tff(decl_33,type,
in_rel1361124802le_alt: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
is_bool: $i > $o ).
tff(decl_35,type,
inj_on398823523t_bool: $i > $i ).
tff(decl_36,type,
is_fun2015243113i_bool: $i > $o ).
tff(decl_37,type,
pi_Arr1801471756t_bool: ( $i * $i ) > $i ).
tff(decl_38,type,
pi_fun1555365306t_bool: ( $i * $i ) > $i ).
tff(decl_39,type,
pi_Pro1873779901t_bool: ( $i * $i ) > $i ).
tff(decl_40,type,
arrow_1486210539le_alt: $i ).
tff(decl_41,type,
undefi1471133025le_alt: $i > $i ).
tff(decl_42,type,
arrow_132732488e_indi: $i ).
tff(decl_43,type,
undefi1052853330e_indi: $i > $i ).
tff(decl_44,type,
is_Arr859726945e_indi: $i > $o ).
tff(decl_45,type,
bool: $i ).
tff(decl_46,type,
undefined_bool: $i > $i ).
tff(decl_47,type,
product_prod: ( $i * $i ) > $i ).
tff(decl_48,type,
fun: ( $i * $i ) > $i ).
tff(decl_49,type,
undefi541132219t_bool: $i > $i ).
tff(decl_50,type,
hilber951314860di_nat: ( $i * $i ) > $i ).
tff(decl_51,type,
is_fun1084921220e_indi: $i > $o ).
tff(decl_52,type,
top_top_bool: $i ).
tff(decl_53,type,
top_to207207712i_bool: $i ).
tff(decl_54,type,
top_to1257323279t_bool: $i ).
tff(decl_55,type,
is_fun1568535512t_bool: $i > $o ).
tff(decl_56,type,
top_to935749874l_bool: $i ).
tff(decl_57,type,
top_to1849101472l_bool: $i ).
tff(decl_58,type,
top_to846262053l_bool: $i ).
tff(decl_59,type,
top_to1773227171t_bool: $i ).
tff(decl_60,type,
collec279390863e_indi: $i > $i ).
tff(decl_61,type,
collect_Product_unit: $i > $i ).
tff(decl_62,type,
collec1567922785t_bool: $i > $i ).
tff(decl_63,type,
collec1517527055t_bool: $i > $i ).
tff(decl_64,type,
collec612883262t_bool: $i > $i ).
tff(decl_65,type,
collec1376511890le_alt: $i > $i ).
tff(decl_66,type,
fFalse: $i ).
tff(decl_67,type,
fTrue: $i ).
tff(decl_68,type,
hAPP_A1120018583t_bool: ( $i * $i ) > $i ).
tff(decl_69,type,
hAPP_A433435097l_bool: ( $i * $i ) > $i ).
tff(decl_70,type,
hAPP_A1014090479t_bool: ( $i * $i ) > $i ).
tff(decl_71,type,
hAPP_A416869060i_bool: ( $i * $i ) > $i ).
tff(decl_72,type,
hAPP_A701636433l_bool: ( $i * $i ) > $i ).
tff(decl_73,type,
hAPP_A955165183l_bool: ( $i * $i ) > $i ).
tff(decl_74,type,
hAPP_A659996934l_bool: ( $i * $i ) > $i ).
tff(decl_75,type,
hAPP_A340536322t_bool: ( $i * $i ) > $i ).
tff(decl_76,type,
hAPP_bool_bool: ( $i * $i ) > $i ).
tff(decl_77,type,
hAPP_b2116075462i_bool: ( $i * $i ) > $i ).
tff(decl_78,type,
hAPP_b1096750261t_bool: ( $i * $i ) > $i ).
tff(decl_79,type,
hAPP_b1461182872l_bool: ( $i * $i ) > $i ).
tff(decl_80,type,
hAPP_b651754310l_bool: ( $i * $i ) > $i ).
tff(decl_81,type,
hAPP_b805997823l_bool: ( $i * $i ) > $i ).
tff(decl_82,type,
hAPP_b763490121t_bool: ( $i * $i ) > $i ).
tff(decl_83,type,
hAPP_n619554777e_indi: ( $i * $i ) > $i ).
tff(decl_84,type,
hAPP_nat_bool: ( $i * $i ) > $i ).
tff(decl_85,type,
hAPP_n1600508401i_bool: ( $i * $i ) > $i ).
tff(decl_86,type,
hAPP_n454528608t_bool: ( $i * $i ) > $i ).
tff(decl_87,type,
hAPP_P1676879539t_bool: ( $i * $i ) > $i ).
tff(decl_88,type,
hAPP_P667392034l_bool: ( $i * $i ) > $i ).
tff(decl_89,type,
hAPP_P1305865168l_bool: ( $i * $i ) > $i ).
tff(decl_90,type,
hAPP_P288224245l_bool: ( $i * $i ) > $i ).
tff(decl_91,type,
hAPP_P401722323t_bool: ( $i * $i ) > $i ).
tff(decl_92,type,
hAPP_f212509069l_bool: ( $i * $i ) > $i ).
tff(decl_93,type,
hAPP_f160177134l_bool: ( $i * $i ) > $i ).
tff(decl_94,type,
hAPP_f1282033109i_bool: ( $i * $i ) > $i ).
tff(decl_95,type,
hAPP_f350403485e_indi: ( $i * $i ) > $i ).
tff(decl_96,type,
hAPP_f1378099862l_bool: ( $i * $i ) > $i ).
tff(decl_97,type,
hAPP_f1570138413i_bool: ( $i * $i ) > $i ).
tff(decl_98,type,
hAPP_f1009478556t_bool: ( $i * $i ) > $i ).
tff(decl_99,type,
hAPP_f1895971544l_bool: ( $i * $i ) > $i ).
tff(decl_100,type,
hAPP_f1817389232t_bool: ( $i * $i ) > $i ).
tff(decl_101,type,
hAPP_f387058535l_bool: ( $i * $i ) > $i ).
tff(decl_102,type,
hAPP_f54304608l_bool: ( $i * $i ) > $i ).
tff(decl_103,type,
hAPP_f2028818269l_bool: ( $i * $i ) > $i ).
tff(decl_104,type,
hAPP_f427533077t_bool: ( $i * $i ) > $i ).
tff(decl_105,type,
hAPP_f599997089l_bool: ( $i * $i ) > $i ).
tff(decl_106,type,
hAPP_f1898839893l_bool: ( $i * $i ) > $i ).
tff(decl_107,type,
hAPP_f2016919811l_bool: ( $i * $i ) > $i ).
tff(decl_108,type,
hAPP_f147218624l_bool: ( $i * $i ) > $i ).
tff(decl_109,type,
hAPP_f189058133l_bool: ( $i * $i ) > $i ).
tff(decl_110,type,
hAPP_f2043811403e_indi: ( $i * $i ) > $i ).
tff(decl_111,type,
hAPP_f446648900l_bool: ( $i * $i ) > $i ).
tff(decl_112,type,
hAPP_f783549695i_bool: ( $i * $i ) > $i ).
tff(decl_113,type,
hAPP_f1841347694t_bool: ( $i * $i ) > $i ).
tff(decl_114,type,
hAPP_f1291635206l_bool: ( $i * $i ) > $i ).
tff(decl_115,type,
hAPP_f67777128l_bool: ( $i * $i ) > $i ).
tff(decl_116,type,
hAPP_f620747982l_bool: ( $i * $i ) > $i ).
tff(decl_117,type,
hAPP_f740740988l_bool: ( $i * $i ) > $i ).
tff(decl_118,type,
hAPP_f937100551l_bool: ( $i * $i ) > $i ).
tff(decl_119,type,
hAPP_f2053170815l_bool: ( $i * $i ) > $i ).
tff(decl_120,type,
hAPP_f1428735377l_bool: ( $i * $i ) > $i ).
tff(decl_121,type,
hAPP_f1637334154l_bool: ( $i * $i ) > $i ).
tff(decl_122,type,
hAPP_f1426445843l_bool: ( $i * $i ) > $i ).
tff(decl_123,type,
hAPP_f537623936l_bool: ( $i * $i ) > $i ).
tff(decl_124,type,
hAPP_f339859954l_bool: ( $i * $i ) > $i ).
tff(decl_125,type,
hAPP_f866114756l_bool: ( $i * $i ) > $i ).
tff(decl_126,type,
hAPP_f1597773170l_bool: ( $i * $i ) > $i ).
tff(decl_127,type,
hAPP_f1965705105l_bool: ( $i * $i ) > $i ).
tff(decl_128,type,
hAPP_f1117143157l_bool: ( $i * $i ) > $i ).
tff(decl_129,type,
hAPP_f882250837l_bool: ( $i * $i ) > $i ).
tff(decl_130,type,
hAPP_f1138659662l_bool: ( $i * $i ) > $i ).
tff(decl_131,type,
hAPP_f1082951236l_bool: ( $i * $i ) > $i ).
tff(decl_132,type,
hAPP_f322109294l_bool: ( $i * $i ) > $i ).
tff(decl_133,type,
hAPP_f1028172757l_bool: ( $i * $i ) > $i ).
tff(decl_134,type,
hAPP_f742658307l_bool: ( $i * $i ) > $i ).
tff(decl_135,type,
hAPP_f750478076l_bool: ( $i * $i ) > $i ).
tff(decl_136,type,
hAPP_f966397426l_bool: ( $i * $i ) > $i ).
tff(decl_137,type,
hAPP_f1021828400l_bool: ( $i * $i ) > $i ).
tff(decl_138,type,
hAPP_f560261801l_bool: ( $i * $i ) > $i ).
tff(decl_139,type,
hAPP_f1384787615l_bool: ( $i * $i ) > $i ).
tff(decl_140,type,
hAPP_f1363425282l_bool: ( $i * $i ) > $i ).
tff(decl_141,type,
hAPP_f817344902l_bool: ( $i * $i ) > $i ).
tff(decl_142,type,
hAPP_f560517119l_bool: ( $i * $i ) > $i ).
tff(decl_143,type,
hAPP_f574392641l_bool: ( $i * $i ) > $i ).
tff(decl_144,type,
hAPP_f557371893l_bool: ( $i * $i ) > $i ).
tff(decl_145,type,
hAPP_f1283454584e_indi: ( $i * $i ) > $i ).
tff(decl_146,type,
hAPP_f1733357041l_bool: ( $i * $i ) > $i ).
tff(decl_147,type,
hAPP_f431432850i_bool: ( $i * $i ) > $i ).
tff(decl_148,type,
hAPP_f649586561t_bool: ( $i * $i ) > $i ).
tff(decl_149,type,
hAPP_f1332130404l_bool: ( $i * $i ) > $i ).
tff(decl_150,type,
hAPP_f1344932147l_bool: ( $i * $i ) > $i ).
tff(decl_151,type,
hAPP_f137597973t_bool: ( $i * $i ) > $i ).
tff(decl_152,type,
hAPP_P1645359566e_indi: ( $i * $i ) > $i ).
tff(decl_153,type,
hAPP_P1813625415t_bool: ( $i * $i ) > $i ).
tff(decl_154,type,
hAPP_P957402556i_bool: ( $i * $i ) > $i ).
tff(decl_155,type,
hAPP_P822772139t_bool: ( $i * $i ) > $i ).
tff(decl_156,type,
hAPP_P1151433609l_bool: ( $i * $i ) > $i ).
tff(decl_157,type,
lab: $i ).
tff(decl_158,type,
lba: $i ).
tff(decl_159,type,
a: $i ).
tff(decl_160,type,
b: $i ).
tff(decl_161,type,
c: $i ).
tff(decl_162,type,
d: $i ).
tff(decl_163,type,
e: $i ).
tff(decl_164,type,
f: $i ).
tff(decl_165,type,
hBOOL: $i > $o ).
tff(decl_166,type,
member1265098019t_bool: $i ).
tff(decl_167,type,
p: $i ).
tff(decl_168,type,
hAPP_f621397159l_bool: ( $i * $i ) > $i ).
tff(decl_169,type,
member720722004le_alt: $i ).
tff(decl_170,type,
produc1456060119le_alt: $i ).
tff(decl_171,type,
hAPP_A1171966089le_alt: ( $i * $i ) > $i ).
tff(decl_172,type,
hAPP_A1561816353le_alt: ( $i * $i ) > $i ).
tff(decl_173,type,
arrow_163947511_mkbot: $i ).
tff(decl_174,type,
hAPP_f102394819t_bool: ( $i * $i ) > $i ).
tff(decl_175,type,
arrow_312654597_mktop: $i ).
tff(decl_176,type,
ord_less_nat: $i ).
tff(decl_177,type,
h: $i ).
tff(decl_178,type,
hAPP_A1895296483di_nat: ( $i * $i ) > $i ).
tff(decl_179,type,
hAPP_n1699378549t_bool: ( $i * $i ) > $i ).
tff(decl_180,type,
n: $i ).
tff(decl_181,type,
arrow_1046586475_above: $i ).
tff(decl_182,type,
hAPP_f684072049t_bool: ( $i * $i ) > $i ).
tff(decl_183,type,
hAPP_A28770973t_bool: ( $i * $i ) > $i ).
tff(decl_184,type,
if_fun1158274329t_bool: $i ).
tff(decl_185,type,
cOMBB_810329756e_indi: $i > $i ).
tff(decl_186,type,
cOMBC_70761414t_bool: $i ).
tff(decl_187,type,
cOMBB_552200224e_indi: $i > $i ).
tff(decl_188,type,
hAPP_f1882280879t_bool: ( $i * $i ) > $i ).
tff(decl_189,type,
hAPP_f595617317i_bool: ( $i * $i ) > $i ).
tff(decl_190,type,
hAPP_f1931036015t_bool: ( $i * $i ) > $i ).
tff(decl_191,type,
cOMBC_325526267t_bool: $i ).
tff(decl_192,type,
cOMBB_640263118e_indi: $i > $i ).
tff(decl_193,type,
hAPP_f2027600413t_bool: ( $i * $i ) > $i ).
tff(decl_194,type,
hAPP_f832306437t_bool: ( $i * $i ) > $i ).
tff(decl_195,type,
hAPP_A630236912t_bool: ( $i * $i ) > $i ).
tff(decl_196,type,
cOMBS_995062533t_bool: ( $i * $i ) > $i ).
tff(decl_197,type,
fequal_nat: $i ).
tff(decl_198,type,
cOMBC_1377016489t_bool: $i ).
tff(decl_199,type,
cOMBB_930893948e_indi: $i > $i ).
tff(decl_200,type,
hAPP_f1044120523t_bool: ( $i * $i ) > $i ).
tff(decl_201,type,
hAPP_f114580065t_bool: ( $i * $i ) > $i ).
tff(decl_202,type,
hAPP_A711952286t_bool: ( $i * $i ) > $i ).
tff(decl_203,type,
cOMBS_178315313t_bool: ( $i * $i ) > $i ).
tff(decl_204,type,
finite354462354e_indi: $i > $i ).
tff(decl_205,type,
inj_on1331630279di_nat: $i > $i ).
tff(decl_206,type,
top_top_fun_nat_bool: $i ).
tff(decl_207,type,
member_bool: $i ).
tff(decl_208,type,
hAPP_b1787118453l_bool: ( $i * $i ) > $i ).
tff(decl_209,type,
top_to1647826457l_bool: $i ).
tff(decl_210,type,
member161528657e_indi: $i ).
tff(decl_211,type,
hAPP_A45661955l_bool: ( $i * $i ) > $i ).
tff(decl_212,type,
member_Product_unit: $i ).
tff(decl_213,type,
hAPP_P607165281l_bool: ( $i * $i ) > $i ).
tff(decl_214,type,
member1619170513t_bool: $i ).
tff(decl_215,type,
hAPP_f881677315l_bool: ( $i * $i ) > $i ).
tff(decl_216,type,
member1704306684t_bool: $i ).
tff(decl_217,type,
hAPP_f1332197581l_bool: ( $i * $i ) > $i ).
tff(decl_218,type,
member_nat: $i ).
tff(decl_219,type,
hAPP_n215258509l_bool: ( $i * $i ) > $i ).
tff(decl_220,type,
ord_le1260664009l_bool: $i ).
tff(decl_221,type,
hAPP_f1700034367l_bool: ( $i * $i ) > $i ).
tff(decl_222,type,
ord_le194694222l_bool: $i ).
tff(decl_223,type,
hAPP_f1547458257l_bool: ( $i * $i ) > $i ).
tff(decl_224,type,
ord_le1141238780l_bool: $i ).
tff(decl_225,type,
hAPP_f1216491309l_bool: ( $i * $i ) > $i ).
tff(decl_226,type,
ord_less_bool: $i ).
tff(decl_227,type,
hAPP_b589554111l_bool: ( $i * $i ) > $i ).
tff(decl_228,type,
ord_le2113500159t_bool: $i ).
tff(decl_229,type,
ord_le1791992956i_bool: $i ).
tff(decl_230,type,
hAPP_f563440173l_bool: ( $i * $i ) > $i ).
tff(decl_231,type,
ord_le1976645739t_bool: $i ).
tff(decl_232,type,
hAPP_f272527115l_bool: ( $i * $i ) > $i ).
tff(decl_233,type,
ord_le382113706t_bool: $i ).
tff(decl_234,type,
hAPP_f103356543l_bool: ( $i * $i ) > $i ).
tff(decl_235,type,
cOMBK_1918246033t_bool: $i ).
tff(decl_236,type,
hAPP_f633903640l_bool: ( $i * $i ) > $i ).
tff(decl_237,type,
cOMBC_1894996001t_bool: $i ).
tff(decl_238,type,
cOMBC_1373788917t_bool: $i ).
tff(decl_239,type,
hAPP_f1283354413t_bool: ( $i * $i ) > $i ).
tff(decl_240,type,
hAPP_f1898540574t_bool: ( $i * $i ) > $i ).
tff(decl_241,type,
hAPP_f1975142533t_bool: ( $i * $i ) > $i ).
tff(decl_242,type,
hAPP_f590186314t_bool: ( $i * $i ) > $i ).
tff(decl_243,type,
ord_less_eq_nat: $i ).
tff(decl_244,type,
cOMBK_776703103e_indi: $i ).
tff(decl_245,type,
cOMBK_715978704t_bool: $i ).
tff(decl_246,type,
cOMBK_776847951t_bool: $i ).
tff(decl_247,type,
cOMBK_577652221t_bool: $i ).
tff(decl_248,type,
cOMBK_1733734784le_alt: $i ).
tff(decl_249,type,
cOMBK_1391252605e_indi: $i ).
tff(decl_250,type,
cOMBK_790042732t_unit: $i ).
tff(decl_251,type,
cOMBK_bool_nat: $i ).
tff(decl_252,type,
hAPP_b1013836512t_bool: ( $i * $i ) > $i ).
tff(decl_253,type,
collect_nat: $i > $i ).
tff(decl_254,type,
plus_plus_nat: $i ).
tff(decl_255,type,
hAPP_nat_fun_nat_nat: ( $i * $i ) > $i ).
tff(decl_256,type,
one_one_nat: $i ).
tff(decl_257,type,
hAPP_nat_nat: ( $i * $i ) > $i ).
tff(decl_258,type,
inj_on_nat_nat: $i > $i ).
tff(decl_259,type,
hilber195283148at_nat: ( $i * $i ) > $i ).
tff(decl_260,type,
arrow_1549387998ctator: $i ).
tff(decl_261,type,
hAPP_P1122857141l_bool: ( $i * $i ) > $i ).
tff(decl_262,type,
member219620739le_alt: $i ).
tff(decl_263,type,
hAPP_f1234917389l_bool: ( $i * $i ) > $i ).
tff(decl_264,type,
pi_Arr1064242500le_alt: ( $i * $i ) > $i ).
tff(decl_265,type,
hAPP_A503573454le_alt: ( $i * $i ) > $i ).
tff(decl_266,type,
member300433020le_alt: $i ).
tff(decl_267,type,
hAPP_f452450509l_bool: ( $i * $i ) > $i ).
tff(decl_268,type,
pi_boo1542163389le_alt: ( $i * $i ) > $i ).
tff(decl_269,type,
hAPP_b1482008903le_alt: ( $i * $i ) > $i ).
tff(decl_270,type,
member485283698le_alt: $i ).
tff(decl_271,type,
hAPP_f2011903565l_bool: ( $i * $i ) > $i ).
tff(decl_272,type,
pi_Pro1208494515le_alt: ( $i * $i ) > $i ).
tff(decl_273,type,
hAPP_P1931143485le_alt: ( $i * $i ) > $i ).
tff(decl_274,type,
member104322770t_bool: $i ).
tff(decl_275,type,
hAPP_f1836999501l_bool: ( $i * $i ) > $i ).
tff(decl_276,type,
pi_Arr656802323t_bool: ( $i * $i ) > $i ).
tff(decl_277,type,
hAPP_A739031709t_bool: ( $i * $i ) > $i ).
tff(decl_278,type,
member1024929995t_bool: $i ).
tff(decl_279,type,
hAPP_f1518101645l_bool: ( $i * $i ) > $i ).
tff(decl_280,type,
pi_boo679625100t_bool: ( $i * $i ) > $i ).
tff(decl_281,type,
hAPP_b821377302t_bool: ( $i * $i ) > $i ).
tff(decl_282,type,
member1044213697t_bool: $i ).
tff(decl_283,type,
hAPP_f813426957l_bool: ( $i * $i ) > $i ).
tff(decl_284,type,
pi_Pro1114473858t_bool: ( $i * $i ) > $i ).
tff(decl_285,type,
hAPP_P1245388556t_bool: ( $i * $i ) > $i ).
tff(decl_286,type,
member689634176t_bool: $i ).
tff(decl_287,type,
hAPP_f1063991245l_bool: ( $i * $i ) > $i ).
tff(decl_288,type,
pi_Arr742795713t_bool: ( $i * $i ) > $i ).
tff(decl_289,type,
hAPP_A1433148491t_bool: ( $i * $i ) > $i ).
tff(decl_290,type,
member930088569t_bool: $i ).
tff(decl_291,type,
hAPP_f2134766349l_bool: ( $i * $i ) > $i ).
tff(decl_292,type,
pi_boo68262458t_bool: ( $i * $i ) > $i ).
tff(decl_293,type,
hAPP_b327863236t_bool: ( $i * $i ) > $i ).
tff(decl_294,type,
member1775405935t_bool: $i ).
tff(decl_295,type,
hAPP_f627309453l_bool: ( $i * $i ) > $i ).
tff(decl_296,type,
pi_Pro831923248t_bool: ( $i * $i ) > $i ).
tff(decl_297,type,
hAPP_P1157363642t_bool: ( $i * $i ) > $i ).
tff(decl_298,type,
member1258284266t_bool: $i ).
tff(decl_299,type,
hAPP_f840347317l_bool: ( $i * $i ) > $i ).
tff(decl_300,type,
pi_boo1746012499t_bool: ( $i * $i ) > $i ).
tff(decl_301,type,
member928589940t_bool: $i ).
tff(decl_302,type,
hAPP_f177302985l_bool: ( $i * $i ) > $i ).
tff(decl_303,type,
pi_Pro1925515229t_bool: ( $i * $i ) > $i ).
tff(decl_304,type,
member873781636di_nat: $i ).
tff(decl_305,type,
hAPP_f758593513l_bool: ( $i * $i ) > $i ).
tff(decl_306,type,
pi_Arr604548589di_nat: ( $i * $i ) > $i ).
tff(decl_307,type,
hAPP_A1948275303t_bool: ( $i * $i ) > $i ).
tff(decl_308,type,
member_fun_bool_nat: $i ).
tff(decl_309,type,
hAPP_f144393719l_bool: ( $i * $i ) > $i ).
tff(decl_310,type,
pi_bool_nat: ( $i * $i ) > $i ).
tff(decl_311,type,
hAPP_bool_nat: ( $i * $i ) > $i ).
tff(decl_312,type,
member87760213it_nat: $i ).
tff(decl_313,type,
hAPP_f1950626059l_bool: ( $i * $i ) > $i ).
tff(decl_314,type,
pi_Product_unit_nat: ( $i * $i ) > $i ).
tff(decl_315,type,
hAPP_P426034740it_nat: ( $i * $i ) > $i ).
tff(decl_316,type,
hAPP_P32877782t_bool: ( $i * $i ) > $i ).
tff(decl_317,type,
member220564739e_indi: $i ).
tff(decl_318,type,
hAPP_f1387788301l_bool: ( $i * $i ) > $i ).
tff(decl_319,type,
pi_Pro58544964e_indi: ( $i * $i ) > $i ).
tff(decl_320,type,
member1226631410t_unit: $i ).
tff(decl_321,type,
hAPP_f785487437l_bool: ( $i * $i ) > $i ).
tff(decl_322,type,
pi_Pro269694131t_unit: ( $i * $i ) > $i ).
tff(decl_323,type,
hAPP_P992343101t_unit: ( $i * $i ) > $i ).
tff(decl_324,type,
member1618799570e_indi: $i ).
tff(decl_325,type,
hAPP_f1140532045l_bool: ( $i * $i ) > $i ).
tff(decl_326,type,
pi_fun268174099e_indi: ( $i * $i ) > $i ).
tff(decl_327,type,
member1402889547l_bool: $i ).
tff(decl_328,type,
hAPP_f1338606733l_bool: ( $i * $i ) > $i ).
tff(decl_329,type,
pi_fun1236347660l_bool: ( $i * $i ) > $i ).
tff(decl_330,type,
hAPP_f591334822l_bool: ( $i * $i ) > $i ).
tff(decl_331,type,
member982489409t_unit: $i ).
tff(decl_332,type,
hAPP_f1160956173l_bool: ( $i * $i ) > $i ).
tff(decl_333,type,
pi_fun623621634t_unit: ( $i * $i ) > $i ).
tff(decl_334,type,
hAPP_f754536332t_unit: ( $i * $i ) > $i ).
tff(decl_335,type,
member234310528e_indi: $i ).
tff(decl_336,type,
hAPP_f749156301l_bool: ( $i * $i ) > $i ).
tff(decl_337,type,
pi_fun1353458625e_indi: ( $i * $i ) > $i ).
tff(decl_338,type,
member48503289l_bool: $i ).
tff(decl_339,type,
hAPP_f2087408397l_bool: ( $i * $i ) > $i ).
tff(decl_340,type,
pi_fun187048122l_bool: ( $i * $i ) > $i ).
tff(decl_341,type,
hAPP_f721327224l_bool: ( $i * $i ) > $i ).
tff(decl_342,type,
member1941767151t_unit: $i ).
tff(decl_343,type,
hAPP_f1957108621l_bool: ( $i * $i ) > $i ).
tff(decl_344,type,
pi_fun1390764464t_unit: ( $i * $i ) > $i ).
tff(decl_345,type,
hAPP_f1716204858t_unit: ( $i * $i ) > $i ).
tff(decl_346,type,
member1935624595e_indi: $i ).
tff(decl_347,type,
hAPP_f2022872455l_bool: ( $i * $i ) > $i ).
tff(decl_348,type,
pi_fun596906370e_indi: ( $i * $i ) > $i ).
tff(decl_349,type,
member2021375116l_bool: $i ).
tff(decl_350,type,
hAPP_f1171266041l_bool: ( $i * $i ) > $i ).
tff(decl_351,type,
pi_fun568395771l_bool: ( $i * $i ) > $i ).
tff(decl_352,type,
hAPP_f812095627l_bool: ( $i * $i ) > $i ).
tff(decl_353,type,
member416763266t_unit: $i ).
tff(decl_354,type,
hAPP_f715600357l_bool: ( $i * $i ) > $i ).
tff(decl_355,type,
pi_fun1012573681t_unit: ( $i * $i ) > $i ).
tff(decl_356,type,
hAPP_f1636264423t_unit: ( $i * $i ) > $i ).
tff(decl_357,type,
member1801639028e_indi: $i ).
tff(decl_358,type,
hAPP_f544923081l_bool: ( $i * $i ) > $i ).
tff(decl_359,type,
pi_nat1476290531e_indi: ( $i * $i ) > $i ).
tff(decl_360,type,
member_fun_nat_bool: $i ).
tff(decl_361,type,
hAPP_f1951378235l_bool: ( $i * $i ) > $i ).
tff(decl_362,type,
pi_nat_bool: ( $i * $i ) > $i ).
tff(decl_363,type,
hAPP_n1006566506l_bool: ( $i * $i ) > $i ).
tff(decl_364,type,
member1024687843t_unit: $i ).
tff(decl_365,type,
hAPP_f1598887207l_bool: ( $i * $i ) > $i ).
tff(decl_366,type,
pi_nat_Product_unit: ( $i * $i ) > $i ).
tff(decl_367,type,
hAPP_n633340360t_unit: ( $i * $i ) > $i ).
tff(decl_368,type,
cOMBK_1673635960le_alt: $i ).
tff(decl_369,type,
hAPP_f719005683l_bool: ( $i * $i ) > $i ).
tff(decl_370,type,
cOMBK_350223551e_indi: $i ).
tff(decl_371,type,
hAPP_f1639180358l_bool: ( $i * $i ) > $i ).
tff(decl_372,type,
ord_less_eq_bool: $i ).
tff(decl_373,type,
ord_le1568362934t_bool: $i ).
tff(decl_374,type,
ord_le1874503007t_bool: $i ).
tff(decl_375,type,
ord_le1028202352i_bool: $i ).
tff(decl_376,type,
ord_le1079191765l_bool: $i ).
tff(decl_377,type,
ord_le2143686384l_bool: $i ).
tff(decl_378,type,
ord_le1482529602l_bool: $i ).
tff(decl_379,type,
ord_le64728819t_bool: $i ).
tff(decl_380,type,
cOMBI_nat: $i ).
tff(decl_381,type,
ord_le319160163t_bool: $i ).
tff(decl_382,type,
cOMBC_441619036t_bool: $i ).
tff(decl_383,type,
cOMBC_943734388l_bool: $i ).
tff(decl_384,type,
cOMBB_333235735le_alt: $i > $i ).
tff(decl_385,type,
cOMBB_711698847le_alt: $i > $i ).
tff(decl_386,type,
cOMBB_885534287le_alt: $i > $i ).
tff(decl_387,type,
hAPP_f1747206697l_bool: ( $i * $i ) > $i ).
tff(decl_388,type,
hAPP_f1092358369t_bool: ( $i * $i ) > $i ).
tff(decl_389,type,
hAPP_f775987425t_bool: ( $i * $i ) > $i ).
tff(decl_390,type,
hAPP_f1840820673t_bool: ( $i * $i ) > $i ).
tff(decl_391,type,
hAPP_f2078760383l_bool: ( $i * $i ) > $i ).
tff(decl_392,type,
ord_le742797417l_bool: $i ).
tff(decl_393,type,
hAPP_f612708895l_bool: ( $i * $i ) > $i ).
tff(decl_394,type,
cOMBC_1455277858l_bool: $i ).
tff(decl_395,type,
hAPP_f1996228283l_bool: ( $i * $i ) > $i ).
tff(decl_396,type,
hAPP_f961197973l_bool: ( $i * $i ) > $i ).
tff(decl_397,type,
cOMBC_2133163426l_bool: $i ).
tff(decl_398,type,
hAPP_f1458726223t_bool: ( $i * $i ) > $i ).
tff(decl_399,type,
cOMBC_264525026l_bool: $i ).
tff(decl_400,type,
hAPP_f651290349i_bool: ( $i * $i ) > $i ).
tff(decl_401,type,
cOMBC_226598744l_bool: $i ).
tff(decl_402,type,
hAPP_f1722879237t_bool: ( $i * $i ) > $i ).
tff(decl_403,type,
hAPP_f800510211t_bool: ( $i * $i ) > $i ).
tff(decl_404,type,
cOMBC_344067350l_bool: $i ).
tff(decl_405,type,
hAPP_f1692576003l_bool: ( $i * $i ) > $i ).
tff(decl_406,type,
cOMBC_1528317666l_bool: $i ).
tff(decl_407,type,
hAPP_f863441901l_bool: ( $i * $i ) > $i ).
tff(decl_408,type,
cOMBC_1722249314l_bool: $i ).
tff(decl_409,type,
hAPP_f1500902601l_bool: ( $i * $i ) > $i ).
tff(decl_410,type,
cOMBC_420816290l_bool: $i ).
tff(decl_411,type,
hAPP_f1152614183t_bool: ( $i * $i ) > $i ).
tff(decl_412,type,
ord_le197158773l_bool: $i ).
tff(decl_413,type,
cOMBC_nat_nat_nat: $i ).
tff(decl_414,type,
hAPP_f416620757at_nat: ( $i * $i ) > $i ).
tff(decl_415,type,
member_fun_nat_nat: $i ).
tff(decl_416,type,
hAPP_f2040535501l_bool: ( $i * $i ) > $i ).
tff(decl_417,type,
cOMBK_583454926ol_nat: $i ).
tff(decl_418,type,
hAPP_f1570313510t_bool: ( $i * $i ) > $i ).
tff(decl_419,type,
pi_nat_nat: ( $i * $i ) > $i ).
tff(decl_420,type,
finite_finite_nat: $i ).
tff(decl_421,type,
finite_card_nat: $i > $i ).
tff(decl_422,type,
cOMBK_1662914336e_indi: $i ).
tff(decl_423,type,
hAPP_f1393414918t_bool: ( $i * $i ) > $i ).
tff(decl_424,type,
finite_finite_bool: $i ).
tff(decl_425,type,
finite1044330389le_alt: $i > $i ).
tff(decl_426,type,
finite_card_bool: $i > $i ).
tff(decl_427,type,
inj_on1507564774t_bool: $i > $i ).
tff(decl_428,type,
finite274731772t_bool: $i ).
tff(decl_429,type,
finite945540987t_bool: $i > $i ).
tff(decl_430,type,
inj_on1962565012t_bool: $i > $i ).
tff(decl_431,type,
finite1524925796t_bool: $i > $i ).
tff(decl_432,type,
finite921964625e_indi: $i ).
tff(decl_433,type,
cOMBK_1399131793t_bool: $i ).
tff(decl_434,type,
hAPP_f1077635369i_bool: ( $i * $i ) > $i ).
tff(decl_435,type,
inj_on302999388e_indi: $i > $i ).
tff(decl_436,type,
member363954533t_bool: $i ).
tff(decl_437,type,
hAPP_f1980578603l_bool: ( $i * $i ) > $i ).
tff(decl_438,type,
cOMBK_761999167t_bool: $i ).
tff(decl_439,type,
hAPP_f23348649l_bool: ( $i * $i ) > $i ).
tff(decl_440,type,
pi_fun328162388t_bool: ( $i * $i ) > $i ).
tff(decl_441,type,
inj_on735362094t_bool: $i > $i ).
tff(decl_442,type,
finite1323840035t_bool: $i ).
tff(decl_443,type,
cOMBK_1685845624l_bool: $i ).
tff(decl_444,type,
hAPP_f581841297t_bool: ( $i * $i ) > $i ).
tff(decl_445,type,
inj_on67207011le_alt: $i > $i ).
tff(decl_446,type,
cOMBC_nat_nat_bool: $i ).
tff(decl_447,type,
hAPP_f229349961t_bool: ( $i * $i ) > $i ).
tff(decl_448,type,
finite1949902593t_unit: $i > $i ).
tff(decl_449,type,
fconj: $i ).
tff(decl_450,type,
cOMBB_1015721476ol_nat: $i > $i ).
tff(decl_451,type,
hAPP_f1146629647l_bool: ( $i * $i ) > $i ).
tff(decl_452,type,
cOMBS_nat_bool_bool: ( $i * $i ) > $i ).
tff(decl_453,type,
cOMBB_800536526ol_nat: $i > $i ).
tff(decl_454,type,
hAPP_f618557131t_bool: ( $i * $i ) > $i ).
tff(decl_455,type,
zero_zero_nat: $i ).
tff(decl_456,type,
suc: $i ).
tff(decl_457,type,
cOMBB_1146692694ol_nat: $i > $i ).
tff(decl_458,type,
hAPP_f66927821l_bool: ( $i * $i ) > $i ).
tff(decl_459,type,
image_837079859di_nat: ( $i * $i ) > $i ).
tff(decl_460,type,
ord_at4362885an_nat: $i > $i ).
tff(decl_461,type,
hAPP_b910261233t_bool: ( $i * $i ) > $i ).
tff(decl_462,type,
hAPP_f1000663785t_bool: ( $i * $i ) > $i ).
tff(decl_463,type,
hAPP_f372913425t_bool: ( $i * $i ) > $i ).
tff(decl_464,type,
hAPP_f1068593625t_bool: ( $i * $i ) > $i ).
tff(decl_465,type,
hAPP_A85603248t_bool: ( $i * $i ) > $i ).
tff(decl_466,type,
hAPP_A1781286015t_bool: ( $i * $i ) > $i ).
tff(decl_467,type,
hAPP_A64811457t_bool: ( $i * $i ) > $i ).
tff(decl_468,type,
hAPP_A1202525278t_bool: ( $i * $i ) > $i ).
tff(decl_469,type,
hAPP_f1656652505l_bool: ( $i * $i ) > $i ).
tff(decl_470,type,
hAPP_A1906804694t_bool: ( $i * $i ) > $i ).
tff(decl_471,type,
hAPP_A643475905l_bool: ( $i * $i ) > $i ).
tff(decl_472,type,
hAPP_A725195434t_bool: ( $i * $i ) > $i ).
tff(decl_473,type,
esk1_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_474,type,
esk2_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_475,type,
esk3_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_476,type,
esk4_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_477,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_478,type,
esk6_1: $i > $i ).
tff(decl_479,type,
esk7_1: $i > $i ).
tff(decl_480,type,
esk8_1: $i > $i ).
tff(decl_481,type,
esk9_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_482,type,
esk10_1: $i > $i ).
tff(decl_483,type,
esk11_1: $i > $i ).
tff(decl_484,type,
esk12_1: $i > $i ).
tff(decl_485,type,
esk13_1: $i > $i ).
tff(decl_486,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_487,type,
esk15_1: $i > $i ).
tff(decl_488,type,
esk16_1: $i > $i ).
tff(decl_489,type,
esk17_1: $i > $i ).
tff(decl_490,type,
esk18_0: $i ).
tff(decl_491,type,
esk19_0: $i ).
tff(decl_492,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_493,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_494,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_495,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_496,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_497,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_498,type,
esk26_0: $i ).
tff(decl_499,type,
esk27_0: $i ).
tff(decl_500,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_501,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_502,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_503,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_504,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_505,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_506,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_507,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_508,type,
esk36_3: ( $i * $i * $i ) > $i ).
tff(decl_509,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_510,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_511,type,
esk39_1: $i > $i ).
tff(decl_512,type,
esk40_1: $i > $i ).
tff(decl_513,type,
esk41_1: $i > $i ).
tff(decl_514,type,
esk42_1: $i > $i ).
tff(decl_515,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_516,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_517,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_518,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_519,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_520,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_521,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_522,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_523,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_524,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_525,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_526,type,
esk54_2: ( $i * $i ) > $i ).
tff(decl_527,type,
esk55_2: ( $i * $i ) > $i ).
tff(decl_528,type,
esk56_3: ( $i * $i * $i ) > $i ).
tff(decl_529,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_530,type,
esk58_3: ( $i * $i * $i ) > $i ).
tff(decl_531,type,
esk59_3: ( $i * $i * $i ) > $i ).
tff(decl_532,type,
esk60_3: ( $i * $i * $i ) > $i ).
tff(decl_533,type,
esk61_3: ( $i * $i * $i ) > $i ).
tff(decl_534,type,
esk62_3: ( $i * $i * $i ) > $i ).
tff(decl_535,type,
esk63_0: $i ).
tff(decl_536,type,
esk64_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_537,type,
esk65_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_538,type,
esk66_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_539,type,
esk67_3: ( $i * $i * $i ) > $i ).
tff(decl_540,type,
esk68_3: ( $i * $i * $i ) > $i ).
tff(decl_541,type,
esk69_3: ( $i * $i * $i ) > $i ).
tff(decl_542,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_543,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_544,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_545,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_546,type,
esk74_3: ( $i * $i * $i ) > $i ).
tff(decl_547,type,
esk75_3: ( $i * $i * $i ) > $i ).
tff(decl_548,type,
esk76_1: $i > $i ).
tff(decl_549,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_550,type,
esk78_1: $i > $i ).
tff(decl_551,type,
esk79_2: ( $i * $i ) > $i ).
tff(decl_552,type,
esk80_2: ( $i * $i ) > $i ).
tff(decl_553,type,
esk81_2: ( $i * $i ) > $i ).
tff(decl_554,type,
esk82_2: ( $i * $i ) > $i ).
tff(decl_555,type,
esk83_2: ( $i * $i ) > $i ).
tff(decl_556,type,
esk84_2: ( $i * $i ) > $i ).
tff(decl_557,type,
esk85_2: ( $i * $i ) > $i ).
tff(decl_558,type,
esk86_1: $i > $i ).
tff(decl_559,type,
esk87_2: ( $i * $i ) > $i ).
tff(decl_560,type,
esk88_3: ( $i * $i * $i ) > $i ).
tff(decl_561,type,
esk89_2: ( $i * $i ) > $i ).
tff(decl_562,type,
esk90_1: $i > $i ).
tff(decl_563,type,
esk91_2: ( $i * $i ) > $i ).
tff(decl_564,type,
esk92_2: ( $i * $i ) > $i ).
tff(decl_565,type,
esk93_2: ( $i * $i ) > $i ).
tff(decl_566,type,
esk94_1: $i > $i ).
tff(decl_567,type,
esk95_1: $i > $i ).
tff(decl_568,type,
esk96_1: $i > $i ).
tff(decl_569,type,
esk97_2: ( $i * $i ) > $i ).
tff(decl_570,type,
esk98_0: $i ).
fof(fact_14_PW,axiom,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_PW) ).
fof(conj_0,conjecture,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(c_0_3,plain,
( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))) ) ),
inference(fof_nnf,[status(thm)],[fact_14_PW]) ).
fof(c_0_4,negated_conjecture,
~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_5,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
inference(split_conjunct,[status(thm)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).
cnf(c_0_8,plain,
~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
inference(sr,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
$false,
inference(sr,[status(thm)],[c_0_7,c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT171+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 15:41:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.67/0.81 % Version : CSE_E---1.5
% 0.67/0.81 % Problem : theBenchmark.p
% 0.67/0.81 % Proof found
% 0.67/0.81 % SZS status Theorem for theBenchmark.p
% 0.67/0.81 % SZS output start Proof
% See solution above
% 0.67/0.83 % Total time : 0.216000 s
% 0.67/0.83 % SZS output end Proof
% 0.67/0.83 % Total time : 0.248000 s
%------------------------------------------------------------------------------