TSTP Solution File: SCT171+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SCT171+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %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 : Tue Aug 22 10:55:20 EDT 2023
% Result : Theorem 15.01s 5.06s
% Output : CNFRefutation 15.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 552
% Syntax : Number of formulae : 557 ( 6 unt; 549 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 1 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 787 ( 403 >; 384 *; 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 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_fun701126715l_bool > is_fun292781289l_bool > is_fun20916972t_bool > is_fun2015243113i_bool > is_fun1568535512t_bool > is_fun1420103068l_bool > is_fun1084921220e_indi > is_bool > is_Arr859726945e_indi > is_Arr723427730le_alt > hBOOL > in_rel1361124802le_alt > arrow_207701375_below > product_prod > pi_nat_nat > pi_nat_bool > pi_nat_Product_unit > pi_nat1476290531e_indi > pi_fun623621634t_unit > pi_fun596906370e_indi > pi_fun568395771l_bool > pi_fun328162388t_bool > pi_fun268174099e_indi > pi_fun187048122l_bool > pi_fun1555365306t_bool > pi_fun1390764464t_unit > pi_fun1353458625e_indi > pi_fun1236347660l_bool > pi_fun1012573681t_unit > pi_bool_nat > pi_boo68262458t_bool > pi_boo679625100t_bool > pi_boo1746012499t_bool > pi_boo1542163389le_alt > pi_Product_unit_nat > pi_Pro831923248t_bool > pi_Pro58544964e_indi > pi_Pro269694131t_unit > pi_Pro1925515229t_bool > pi_Pro1873779901t_bool > pi_Pro1208494515le_alt > pi_Pro1114473858t_bool > pi_Arr742795713t_bool > pi_Arr656802323t_bool > pi_Arr604548589di_nat > pi_Arr1801471756t_bool > pi_Arr1064242500le_alt > image_837079859di_nat > hilber951314860di_nat > hilber195283148at_nat > hAPP_nat_nat > hAPP_nat_fun_nat_nat > hAPP_nat_bool > hAPP_n633340360t_unit > hAPP_n619554777e_indi > hAPP_n454528608t_bool > hAPP_n215258509l_bool > hAPP_n1699378549t_bool > hAPP_n1600508401i_bool > hAPP_n1006566506l_bool > hAPP_f966397426l_bool > hAPP_f961197973l_bool > hAPP_f937100551l_bool > hAPP_f882250837l_bool > hAPP_f881677315l_bool > hAPP_f866114756l_bool > hAPP_f863441901l_bool > hAPP_f840347317l_bool > hAPP_f832306437t_bool > hAPP_f817344902l_bool > hAPP_f813426957l_bool > hAPP_f812095627l_bool > hAPP_f800510211t_bool > hAPP_f785487437l_bool > hAPP_f783549695i_bool > hAPP_f775987425t_bool > hAPP_f758593513l_bool > hAPP_f754536332t_unit > hAPP_f750478076l_bool > hAPP_f749156301l_bool > hAPP_f742658307l_bool > hAPP_f740740988l_bool > hAPP_f721327224l_bool > hAPP_f719005683l_bool > hAPP_f715600357l_bool > hAPP_f684072049t_bool > hAPP_f67777128l_bool > hAPP_f66927821l_bool > hAPP_f651290349i_bool > hAPP_f649586561t_bool > hAPP_f633903640l_bool > hAPP_f627309453l_bool > hAPP_f621397159l_bool > hAPP_f620747982l_bool > hAPP_f618557131t_bool > hAPP_f612708895l_bool > hAPP_f599997089l_bool > hAPP_f595617317i_bool > hAPP_f591334822l_bool > hAPP_f590186314t_bool > hAPP_f581841297t_bool > hAPP_f574392641l_bool > hAPP_f563440173l_bool > hAPP_f560517119l_bool > hAPP_f560261801l_bool > hAPP_f557371893l_bool > hAPP_f544923081l_bool > hAPP_f54304608l_bool > hAPP_f537623936l_bool > hAPP_f452450509l_bool > hAPP_f446648900l_bool > hAPP_f431432850i_bool > hAPP_f427533077t_bool > hAPP_f416620757at_nat > hAPP_f387058535l_bool > hAPP_f372913425t_bool > hAPP_f350403485e_indi > hAPP_f339859954l_bool > hAPP_f322109294l_bool > hAPP_f272527115l_bool > hAPP_f23348649l_bool > hAPP_f229349961t_bool > hAPP_f2134766349l_bool > hAPP_f212509069l_bool > hAPP_f2087408397l_bool > hAPP_f2078760383l_bool > hAPP_f2053170815l_bool > hAPP_f2043811403e_indi > hAPP_f2040535501l_bool > hAPP_f2028818269l_bool > hAPP_f2027600413t_bool > hAPP_f2022872455l_bool > hAPP_f2016919811l_bool > hAPP_f2011903565l_bool > hAPP_f1996228283l_bool > hAPP_f1980578603l_bool > hAPP_f1975142533t_bool > hAPP_f1965705105l_bool > hAPP_f1957108621l_bool > hAPP_f1951378235l_bool > hAPP_f1950626059l_bool > hAPP_f1931036015t_bool > hAPP_f1898839893l_bool > hAPP_f1898540574t_bool > hAPP_f1895971544l_bool > hAPP_f189058133l_bool > hAPP_f1882280879t_bool > hAPP_f1841347694t_bool > hAPP_f1840820673t_bool > hAPP_f1836999501l_bool > hAPP_f1817389232t_bool > hAPP_f177302985l_bool > hAPP_f1747206697l_bool > hAPP_f1733357041l_bool > hAPP_f1722879237t_bool > hAPP_f1716204858t_unit > hAPP_f1700034367l_bool > hAPP_f1692576003l_bool > hAPP_f1656652505l_bool > hAPP_f1639180358l_bool > hAPP_f1637334154l_bool > hAPP_f1636264423t_unit > hAPP_f160177134l_bool > hAPP_f1598887207l_bool > hAPP_f1597773170l_bool > hAPP_f1570313510t_bool > hAPP_f1570138413i_bool > hAPP_f1547458257l_bool > hAPP_f1518101645l_bool > hAPP_f1500902601l_bool > hAPP_f147218624l_bool > hAPP_f1458726223t_bool > hAPP_f144393719l_bool > hAPP_f1428735377l_bool > hAPP_f1426445843l_bool > hAPP_f1393414918t_bool > hAPP_f1387788301l_bool > hAPP_f1384787615l_bool > hAPP_f1378099862l_bool > hAPP_f137597973t_bool > hAPP_f1363425282l_bool > hAPP_f1344932147l_bool > hAPP_f1338606733l_bool > hAPP_f1332197581l_bool > hAPP_f1332130404l_bool > hAPP_f1291635206l_bool > hAPP_f1283454584e_indi > hAPP_f1283354413t_bool > hAPP_f1282033109i_bool > hAPP_f1234917389l_bool > hAPP_f1216491309l_bool > hAPP_f1171266041l_bool > hAPP_f1160956173l_bool > hAPP_f1152614183t_bool > hAPP_f1146629647l_bool > hAPP_f114580065t_bool > hAPP_f1140532045l_bool > hAPP_f1138659662l_bool > hAPP_f1117143157l_bool > hAPP_f1092358369t_bool > hAPP_f1082951236l_bool > hAPP_f1077635369i_bool > hAPP_f1068593625t_bool > hAPP_f1063991245l_bool > hAPP_f1044120523t_bool > hAPP_f103356543l_bool > hAPP_f1028172757l_bool > hAPP_f102394819t_bool > hAPP_f1021828400l_bool > hAPP_f1009478556t_bool > hAPP_f1000663785t_bool > hAPP_bool_nat > hAPP_bool_bool > hAPP_b910261233t_bool > hAPP_b821377302t_bool > hAPP_b805997823l_bool > hAPP_b763490121t_bool > hAPP_b651754310l_bool > hAPP_b589554111l_bool > hAPP_b327863236t_bool > hAPP_b2116075462i_bool > hAPP_b1787118453l_bool > hAPP_b1482008903le_alt > hAPP_b1461182872l_bool > hAPP_b1096750261t_bool > hAPP_b1013836512t_bool > hAPP_P992343101t_unit > hAPP_P957402556i_bool > hAPP_P822772139t_bool > hAPP_P667392034l_bool > hAPP_P607165281l_bool > hAPP_P426034740it_nat > hAPP_P401722323t_bool > hAPP_P32877782t_bool > hAPP_P288224245l_bool > hAPP_P1931143485le_alt > hAPP_P1813625415t_bool > hAPP_P1676879539t_bool > hAPP_P1645359566e_indi > hAPP_P1305865168l_bool > hAPP_P1245388556t_bool > hAPP_P1157363642t_bool > hAPP_P1151433609l_bool > hAPP_P1122857141l_bool > hAPP_A955165183l_bool > hAPP_A85603248t_bool > hAPP_A739031709t_bool > hAPP_A725195434t_bool > hAPP_A711952286t_bool > hAPP_A701636433l_bool > hAPP_A659996934l_bool > hAPP_A64811457t_bool > hAPP_A643475905l_bool > hAPP_A630236912t_bool > hAPP_A503573454le_alt > hAPP_A45661955l_bool > hAPP_A433435097l_bool > hAPP_A416869060i_bool > hAPP_A340536322t_bool > hAPP_A28770973t_bool > hAPP_A1948275303t_bool > hAPP_A1906804694t_bool > hAPP_A1895296483di_nat > hAPP_A1781286015t_bool > hAPP_A1561816353le_alt > hAPP_A1433148491t_bool > hAPP_A1202525278t_bool > hAPP_A1171966089le_alt > hAPP_A1120018583t_bool > hAPP_A1014090479t_bool > fun > cOMBS_nat_bool_bool > cOMBS_995062533t_bool > cOMBS_178315313t_bool > #nlpp > undefined_bool > undefi541132219t_bool > undefi1471133025le_alt > undefi1052853330e_indi > ord_at4362885an_nat > inj_on_nat_nat > inj_on735362094t_bool > inj_on67207011le_alt > inj_on398823523t_bool > inj_on302999388e_indi > inj_on1962565012t_bool > inj_on1507564774t_bool > inj_on1331630279di_nat > finite_card_nat > finite_card_bool > finite945540987t_bool > finite354462354e_indi > finite1949902593t_unit > finite1524925796t_bool > finite1044330389le_alt > collect_nat > collect_Product_unit > collec612883262t_bool > collec279390863e_indi > collec1567922785t_bool > collec1517527055t_bool > collec1376511890le_alt > cOMBB_930893948e_indi > cOMBB_885534287le_alt > cOMBB_810329756e_indi > cOMBB_800536526ol_nat > cOMBB_711698847le_alt > cOMBB_640263118e_indi > cOMBB_552200224e_indi > cOMBB_333235735le_alt > cOMBB_1146692694ol_nat > cOMBB_1015721476ol_nat > zero_zero_nat > top_top_fun_nat_bool > top_top_bool > top_to935749874l_bool > top_to846262053l_bool > top_to207207712i_bool > top_to1849101472l_bool > top_to1773227171t_bool > top_to1647826457l_bool > top_to1257323279t_bool > suc > produc1456060119le_alt > plus_plus_nat > p > ord_less_nat > ord_less_eq_nat > ord_less_eq_bool > ord_less_bool > ord_le742797417l_bool > ord_le64728819t_bool > ord_le382113706t_bool > ord_le319160163t_bool > ord_le2143686384l_bool > ord_le2113500159t_bool > ord_le1976645739t_bool > ord_le197158773l_bool > ord_le194694222l_bool > ord_le1874503007t_bool > ord_le1791992956i_bool > ord_le1568362934t_bool > ord_le1482529602l_bool > ord_le1260664009l_bool > ord_le1141238780l_bool > ord_le1079191765l_bool > ord_le1028202352i_bool > one_one_nat > n > member_nat > member_fun_nat_nat > member_fun_nat_bool > member_fun_bool_nat > member_bool > member_Product_unit > member982489409t_unit > member930088569t_bool > member928589940t_bool > member87760213it_nat > member873781636di_nat > member720722004le_alt > member689634176t_bool > member485283698le_alt > member48503289l_bool > member416763266t_unit > member363954533t_bool > member300433020le_alt > member234310528e_indi > member220564739e_indi > member219620739le_alt > member2021375116l_bool > member1941767151t_unit > member1935624595e_indi > member1801639028e_indi > member1775405935t_bool > member1704306684t_bool > member1619170513t_bool > member1618799570e_indi > member161528657e_indi > member1402889547l_bool > member1265098019t_bool > member1258284266t_bool > member1226631410t_unit > member1044213697t_bool > member104322770t_bool > member1024929995t_bool > member1024687843t_unit > lba > lab > if_fun1158274329t_bool > h > finite_finite_nat > finite_finite_bool > finite955821396le_alt > finite921964625e_indi > finite274731772t_bool > finite1323840035t_bool > fequal_nat > fconj > fTrue > fFalse > f > e > d > cOMBK_bool_nat > cOMBK_790042732t_unit > cOMBK_776847951t_bool > cOMBK_776703103e_indi > cOMBK_761999167t_bool > cOMBK_715978704t_bool > cOMBK_583454926ol_nat > cOMBK_577652221t_bool > cOMBK_350223551e_indi > cOMBK_1918246033t_bool > cOMBK_1733734784le_alt > cOMBK_1685845624l_bool > cOMBK_1673635960le_alt > cOMBK_1662914336e_indi > cOMBK_1399131793t_bool > cOMBK_1391252605e_indi > cOMBI_nat > cOMBC_nat_nat_nat > cOMBC_nat_nat_bool > cOMBC_943734388l_bool > cOMBC_70761414t_bool > cOMBC_441619036t_bool > cOMBC_420816290l_bool > cOMBC_344067350l_bool > cOMBC_325526267t_bool > cOMBC_264525026l_bool > cOMBC_226598744l_bool > cOMBC_2133163426l_bool > cOMBC_1894996001t_bool > cOMBC_1722249314l_bool > cOMBC_1528317666l_bool > cOMBC_1455277858l_bool > cOMBC_1377016489t_bool > cOMBC_1373788917t_bool > c > bool > b > arrow_912654623le_Lin > arrow_885770895le_IIA > arrow_583275979e_Prof > arrow_312654597_mktop > arrow_163947511_mkbot > arrow_1550141362nimity > arrow_1549387998ctator > arrow_1486210539le_alt > arrow_132732488e_indi > arrow_1046586475_above > a > #skF_62 > #skF_9 > #skF_76 > #skF_47 > #skF_7 > #skF_37 > #skF_69 > #skF_17 > #skF_22 > #skF_73 > #skF_16 > #skF_80 > #skF_65 > #skF_57 > #skF_44 > #skF_18 > #skF_97 > #skF_2 > #skF_1 > #skF_66 > #skF_91 > #skF_93 > #skF_30 > #skF_53 > #skF_20 > #skF_56 > #skF_48 > #skF_79 > #skF_32 > #skF_67 > #skF_72 > #skF_70 > #skF_40 > #skF_82 > #skF_8 > #skF_92 > #skF_19 > #skF_31 > #skF_38 > #skF_36 > #skF_74 > #skF_15 > #skF_26 > #skF_78 > #skF_68 > #skF_85 > #skF_45 > #skF_10 > #skF_41 > #skF_35 > #skF_88 > #skF_64 > #skF_33 > #skF_49 > #skF_58 > #skF_84 > #skF_54 > #skF_51 > #skF_90 > #skF_71 > #skF_39 > #skF_60 > #skF_3 > #skF_28 > #skF_24 > #skF_34 > #skF_23 > #skF_83 > #skF_50 > #skF_5 > #skF_77 > #skF_81 > #skF_11 > #skF_95 > #skF_52 > #skF_61 > #skF_94 > #skF_25 > #skF_14 > #skF_87 > #skF_59 > #skF_55 > #skF_46 > #skF_27 > #skF_98 > #skF_63 > #skF_13 > #skF_12 > #skF_75 > #skF_89 > #skF_43 > #skF_29 > #skF_86 > #skF_42 > #skF_96 > #skF_21 > #skF_6 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(fconj,type,
fconj: $i ).
tff(member2021375116l_bool,type,
member2021375116l_bool: $i ).
tff(hAPP_A416869060i_bool,type,
hAPP_A416869060i_bool: ( $i * $i ) > $i ).
tff('#skF_62',type,
'#skF_62': ( $i * $i * $i ) > $i ).
tff(ord_less_bool,type,
ord_less_bool: $i ).
tff(member1618799570e_indi,type,
member1618799570e_indi: $i ).
tff(hAPP_b651754310l_bool,type,
hAPP_b651754310l_bool: ( $i * $i ) > $i ).
tff(pi_fun187048122l_bool,type,
pi_fun187048122l_bool: ( $i * $i ) > $i ).
tff(pi_Pro831923248t_bool,type,
pi_Pro831923248t_bool: ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_76',type,
'#skF_76': ( $i * $i ) > $i ).
tff(member1024687843t_unit,type,
member1024687843t_unit: $i ).
tff(hAPP_P607165281l_bool,type,
hAPP_P607165281l_bool: ( $i * $i ) > $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i ) > $i ).
tff(finite_card_bool,type,
finite_card_bool: $i > $i ).
tff(cOMBC_1894996001t_bool,type,
cOMBC_1894996001t_bool: $i ).
tff(cOMBK_715978704t_bool,type,
cOMBK_715978704t_bool: $i ).
tff(cOMBC_nat_nat_bool,type,
cOMBC_nat_nat_bool: $i ).
tff(hAPP_f322109294l_bool,type,
hAPP_f322109294l_bool: ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(ord_less_nat,type,
ord_less_nat: $i ).
tff(pi_fun1390764464t_unit,type,
pi_fun1390764464t_unit: ( $i * $i ) > $i ).
tff(arrow_312654597_mktop,type,
arrow_312654597_mktop: $i ).
tff(hAPP_f840347317l_bool,type,
hAPP_f840347317l_bool: ( $i * $i ) > $i ).
tff(member689634176t_bool,type,
member689634176t_bool: $i ).
tff(hAPP_f1570138413i_bool,type,
hAPP_f1570138413i_bool: ( $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i ) > $i ).
tff('#skF_69',type,
'#skF_69': ( $i * $i * $i ) > $i ).
tff(hAPP_f1171266041l_bool,type,
hAPP_f1171266041l_bool: ( $i * $i ) > $i ).
tff(hAPP_P1305865168l_bool,type,
hAPP_P1305865168l_bool: ( $i * $i ) > $i ).
tff(member_fun_bool_nat,type,
member_fun_bool_nat: $i ).
tff(hAPP_f1636264423t_unit,type,
hAPP_f1636264423t_unit: ( $i * $i ) > $i ).
tff(cOMBK_583454926ol_nat,type,
cOMBK_583454926ol_nat: $i ).
tff(inj_on1962565012t_bool,type,
inj_on1962565012t_bool: $i > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i ) > $i ).
tff(hAPP_bool_bool,type,
hAPP_bool_bool: ( $i * $i ) > $i ).
tff(hAPP_f813426957l_bool,type,
hAPP_f813426957l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1428735377l_bool,type,
hAPP_f1428735377l_bool: ( $i * $i ) > $i ).
tff(cOMBS_nat_bool_bool,type,
cOMBS_nat_bool_bool: ( $i * $i ) > $i ).
tff(hAPP_f229349961t_bool,type,
hAPP_f229349961t_bool: ( $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i ) > $i ).
tff('#skF_73',type,
'#skF_73': ( $i * $i ) > $i ).
tff(pi_nat_bool,type,
pi_nat_bool: ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(plus_plus_nat,type,
plus_plus_nat: $i ).
tff(member_fun_nat_nat,type,
member_fun_nat_nat: $i ).
tff(hAPP_b1482008903le_alt,type,
hAPP_b1482008903le_alt: ( $i * $i ) > $i ).
tff(h,type,
h: $i ).
tff('#skF_80',type,
'#skF_80': ( $i * $i ) > $i ).
tff(hAPP_f1597773170l_bool,type,
hAPP_f1597773170l_bool: ( $i * $i ) > $i ).
tff(top_to1647826457l_bool,type,
top_to1647826457l_bool: $i ).
tff(member1402889547l_bool,type,
member1402889547l_bool: $i ).
tff(hAPP_A433435097l_bool,type,
hAPP_A433435097l_bool: ( $i * $i ) > $i ).
tff(pi_nat_nat,type,
pi_nat_nat: ( $i * $i ) > $i ).
tff(hAPP_f67777128l_bool,type,
hAPP_f67777128l_bool: ( $i * $i ) > $i ).
tff(hAPP_A1561816353le_alt,type,
hAPP_A1561816353le_alt: ( $i * $i ) > $i ).
tff(hAPP_f103356543l_bool,type,
hAPP_f103356543l_bool: ( $i * $i ) > $i ).
tff(suc,type,
suc: $i ).
tff(pi_fun1236347660l_bool,type,
pi_fun1236347660l_bool: ( $i * $i ) > $i ).
tff(member1619170513t_bool,type,
member1619170513t_bool: $i ).
tff(cOMBC_nat_nat_nat,type,
cOMBC_nat_nat_nat: $i ).
tff(top_top_bool,type,
top_top_bool: $i ).
tff('#skF_65',type,
'#skF_65': ( $i * $i * $i * $i ) > $i ).
tff('#skF_57',type,
'#skF_57': ( $i * $i * $i ) > $i ).
tff(finite_finite_bool,type,
finite_finite_bool: $i ).
tff(cOMBB_1146692694ol_nat,type,
cOMBB_1146692694ol_nat: $i > $i ).
tff(arrow_912654623le_Lin,type,
arrow_912654623le_Lin: $i ).
tff(hAPP_f590186314t_bool,type,
hAPP_f590186314t_bool: ( $i * $i ) > $i ).
tff(inj_on67207011le_alt,type,
inj_on67207011le_alt: $i > $i ).
tff(hAPP_n1006566506l_bool,type,
hAPP_n1006566506l_bool: ( $i * $i ) > $i ).
tff(cOMBI_nat,type,
cOMBI_nat: $i ).
tff(hAPP_nat_bool,type,
hAPP_nat_bool: ( $i * $i ) > $i ).
tff(cOMBS_178315313t_bool,type,
cOMBS_178315313t_bool: ( $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': $i ).
tff(cOMBK_790042732t_unit,type,
cOMBK_790042732t_unit: $i ).
tff(finite1044330389le_alt,type,
finite1044330389le_alt: $i > $i ).
tff(arrow_583275979e_Prof,type,
arrow_583275979e_Prof: $i ).
tff(hAPP_f1598887207l_bool,type,
hAPP_f1598887207l_bool: ( $i * $i ) > $i ).
tff('#skF_97',type,
'#skF_97': ( $i * $i ) > $i ).
tff(a,type,
a: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(pi_Pro1208494515le_alt,type,
pi_Pro1208494515le_alt: ( $i * $i ) > $i ).
tff(collec1376511890le_alt,type,
collec1376511890le_alt: $i > $i ).
tff(hAPP_f1637334154l_bool,type,
hAPP_f1637334154l_bool: ( $i * $i ) > $i ).
tff(hAPP_A955165183l_bool,type,
hAPP_A955165183l_bool: ( $i * $i ) > $i ).
tff(ord_le742797417l_bool,type,
ord_le742797417l_bool: $i ).
tff(hAPP_f1117143157l_bool,type,
hAPP_f1117143157l_bool: ( $i * $i ) > $i ).
tff(hAPP_f189058133l_bool,type,
hAPP_f189058133l_bool: ( $i * $i ) > $i ).
tff(hAPP_f560261801l_bool,type,
hAPP_f560261801l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1965705105l_bool,type,
hAPP_f1965705105l_bool: ( $i * $i ) > $i ).
tff(hAPP_P426034740it_nat,type,
hAPP_P426034740it_nat: ( $i * $i ) > $i ).
tff(hAPP_f2078760383l_bool,type,
hAPP_f2078760383l_bool: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(member1265098019t_bool,type,
member1265098019t_bool: $i ).
tff(top_to207207712i_bool,type,
top_to207207712i_bool: $i ).
tff('#skF_66',type,
'#skF_66': ( $i * $i * $i * $i ) > $i ).
tff(top_to1773227171t_bool,type,
top_to1773227171t_bool: $i ).
tff(hAPP_f544923081l_bool,type,
hAPP_f544923081l_bool: ( $i * $i ) > $i ).
tff('#skF_91',type,
'#skF_91': ( $i * $i ) > $i ).
tff(cOMBC_2133163426l_bool,type,
cOMBC_2133163426l_bool: $i ).
tff(arrow_1486210539le_alt,type,
arrow_1486210539le_alt: $i ).
tff(hAPP_A725195434t_bool,type,
hAPP_A725195434t_bool: ( $i * $i ) > $i ).
tff('#skF_93',type,
'#skF_93': ( $i * $i ) > $i ).
tff(hAPP_P1151433609l_bool,type,
hAPP_P1151433609l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1840820673t_bool,type,
hAPP_f1840820673t_bool: ( $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i ) > $i ).
tff(hAPP_P401722323t_bool,type,
hAPP_P401722323t_bool: ( $i * $i ) > $i ).
tff(hAPP_f137597973t_bool,type,
hAPP_f137597973t_bool: ( $i * $i ) > $i ).
tff(f,type,
f: $i ).
tff(is_bool,type,
is_bool: $i > $o ).
tff(hAPP_f54304608l_bool,type,
hAPP_f54304608l_bool: ( $i * $i ) > $i ).
tff(pi_boo1746012499t_bool,type,
pi_boo1746012499t_bool: ( $i * $i ) > $i ).
tff(hAPP_f177302985l_bool,type,
hAPP_f177302985l_bool: ( $i * $i ) > $i ).
tff(is_Arr723427730le_alt,type,
is_Arr723427730le_alt: $i > $o ).
tff(hAPP_f2028818269l_bool,type,
hAPP_f2028818269l_bool: ( $i * $i ) > $i ).
tff(hAPP_f387058535l_bool,type,
hAPP_f387058535l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1068593625t_bool,type,
hAPP_f1068593625t_bool: ( $i * $i ) > $i ).
tff(hilber195283148at_nat,type,
hilber195283148at_nat: ( $i * $i ) > $i ).
tff('#skF_53',type,
'#skF_53': ( $i * $i ) > $i ).
tff(hAPP_f1747206697l_bool,type,
hAPP_f1747206697l_bool: ( $i * $i ) > $i ).
tff(cOMBB_333235735le_alt,type,
cOMBB_333235735le_alt: $i > $i ).
tff(hAPP_f633903640l_bool,type,
hAPP_f633903640l_bool: ( $i * $i ) > $i ).
tff(hAPP_f800510211t_bool,type,
hAPP_f800510211t_bool: ( $i * $i ) > $i ).
tff(cOMBK_577652221t_bool,type,
cOMBK_577652221t_bool: $i ).
tff(hAPP_A701636433l_bool,type,
hAPP_A701636433l_bool: ( $i * $i ) > $i ).
tff(member_Product_unit,type,
member_Product_unit: $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(cOMBK_1733734784le_alt,type,
cOMBK_1733734784le_alt: $i ).
tff(top_to846262053l_bool,type,
top_to846262053l_bool: $i ).
tff(hAPP_A1171966089le_alt,type,
hAPP_A1171966089le_alt: ( $i * $i ) > $i ).
tff(hAPP_f1063991245l_bool,type,
hAPP_f1063991245l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1234917389l_bool,type,
hAPP_f1234917389l_bool: ( $i * $i ) > $i ).
tff(hAPP_A1948275303t_bool,type,
hAPP_A1948275303t_bool: ( $i * $i ) > $i ).
tff('#skF_56',type,
'#skF_56': ( $i * $i * $i ) > $i ).
tff(hAPP_f212509069l_bool,type,
hAPP_f212509069l_bool: ( $i * $i ) > $i ).
tff(cOMBC_70761414t_bool,type,
cOMBC_70761414t_bool: $i ).
tff(ord_le2113500159t_bool,type,
ord_le2113500159t_bool: $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i ) > $i ).
tff(hAPP_f618557131t_bool,type,
hAPP_f618557131t_bool: ( $i * $i ) > $i ).
tff('#skF_79',type,
'#skF_79': $i > $i ).
tff(hAPP_f1500902601l_bool,type,
hAPP_f1500902601l_bool: ( $i * $i ) > $i ).
tff(hAPP_f721327224l_bool,type,
hAPP_f721327224l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1950626059l_bool,type,
hAPP_f1950626059l_bool: ( $i * $i ) > $i ).
tff(hAPP_A1433148491t_bool,type,
hAPP_A1433148491t_bool: ( $i * $i ) > $i ).
tff(hAPP_bool_nat,type,
hAPP_bool_nat: ( $i * $i ) > $i ).
tff(hAPP_f1283454584e_indi,type,
hAPP_f1283454584e_indi: ( $i * $i ) > $i ).
tff(hAPP_f1009478556t_bool,type,
hAPP_f1009478556t_bool: ( $i * $i ) > $i ).
tff(hAPP_f1338606733l_bool,type,
hAPP_f1338606733l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1518101645l_bool,type,
hAPP_f1518101645l_bool: ( $i * $i ) > $i ).
tff(lba,type,
lba: $i ).
tff(hAPP_f1282033109i_bool,type,
hAPP_f1282033109i_bool: ( $i * $i ) > $i ).
tff(hAPP_f1957108621l_bool,type,
hAPP_f1957108621l_bool: ( $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i ) > $i ).
tff(hAPP_f1044120523t_bool,type,
hAPP_f1044120523t_bool: ( $i * $i ) > $i ).
tff(undefi541132219t_bool,type,
undefi541132219t_bool: $i > $i ).
tff(hAPP_nat_fun_nat_nat,type,
hAPP_nat_fun_nat_nat: ( $i * $i ) > $i ).
tff(ord_le382113706t_bool,type,
ord_le382113706t_bool: $i ).
tff(hAPP_f966397426l_bool,type,
hAPP_f966397426l_bool: ( $i * $i ) > $i ).
tff(ord_le194694222l_bool,type,
ord_le194694222l_bool: $i ).
tff(ord_le1791992956i_bool,type,
ord_le1791992956i_bool: $i ).
tff(fequal_nat,type,
fequal_nat: $i ).
tff(hAPP_f620747982l_bool,type,
hAPP_f620747982l_bool: ( $i * $i ) > $i ).
tff(cOMBK_1685845624l_bool,type,
cOMBK_1685845624l_bool: $i ).
tff('#skF_67',type,
'#skF_67': ( $i * $i * $i ) > $i ).
tff('#skF_72',type,
'#skF_72': ( $i * $i ) > $i ).
tff(member1024929995t_bool,type,
member1024929995t_bool: $i ).
tff(hAPP_f563440173l_bool,type,
hAPP_f563440173l_bool: ( $i * $i ) > $i ).
tff(arrow_132732488e_indi,type,
arrow_132732488e_indi: $i ).
tff(hAPP_f2043811403e_indi,type,
hAPP_f2043811403e_indi: ( $i * $i ) > $i ).
tff(pi_boo1542163389le_alt,type,
pi_boo1542163389le_alt: ( $i * $i ) > $i ).
tff(cOMBK_1399131793t_bool,type,
cOMBK_1399131793t_bool: $i ).
tff(is_fun701126715l_bool,type,
is_fun701126715l_bool: $i > $o ).
tff('#skF_70',type,
'#skF_70': ( $i * $i ) > $i ).
tff(hAPP_A1014090479t_bool,type,
hAPP_A1014090479t_bool: ( $i * $i ) > $i ).
tff(inj_on1331630279di_nat,type,
inj_on1331630279di_nat: $i > $i ).
tff(hAPP_f758593513l_bool,type,
hAPP_f758593513l_bool: ( $i * $i ) > $i ).
tff(hAPP_b1787118453l_bool,type,
hAPP_b1787118453l_bool: ( $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': $i > $i ).
tff(pi_Pro1925515229t_bool,type,
pi_Pro1925515229t_bool: ( $i * $i ) > $i ).
tff('#skF_82',type,
'#skF_82': ( $i * $i ) > $i ).
tff(finite1323840035t_bool,type,
finite1323840035t_bool: $i ).
tff(hAPP_f1160956173l_bool,type,
hAPP_f1160956173l_bool: ( $i * $i ) > $i ).
tff(lab,type,
lab: $i ).
tff(hAPP_f339859954l_bool,type,
hAPP_f339859954l_bool: ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(hAPP_f882250837l_bool,type,
hAPP_f882250837l_bool: ( $i * $i ) > $i ).
tff(hAPP_f560517119l_bool,type,
hAPP_f560517119l_bool: ( $i * $i ) > $i ).
tff('#skF_92',type,
'#skF_92': ( $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff(cOMBK_1662914336e_indi,type,
cOMBK_1662914336e_indi: $i ).
tff(hAPP_b910261233t_bool,type,
hAPP_b910261233t_bool: ( $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i ) > $i ).
tff(finite_card_nat,type,
finite_card_nat: $i > $i ).
tff(in_rel1361124802le_alt,type,
in_rel1361124802le_alt: ( $i * $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i ) > $i ).
tff(bool,type,
bool: $i ).
tff(hAPP_f427533077t_bool,type,
hAPP_f427533077t_bool: ( $i * $i ) > $i ).
tff(member485283698le_alt,type,
member485283698le_alt: $i ).
tff(pi_boo679625100t_bool,type,
pi_boo679625100t_bool: ( $i * $i ) > $i ).
tff(hAPP_P1676879539t_bool,type,
hAPP_P1676879539t_bool: ( $i * $i ) > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i ) > $i ).
tff(hAPP_b805997823l_bool,type,
hAPP_b805997823l_bool: ( $i * $i ) > $i ).
tff(member928589940t_bool,type,
member928589940t_bool: $i ).
tff(hAPP_f621397159l_bool,type,
hAPP_f621397159l_bool: ( $i * $i ) > $i ).
tff(hAPP_A45661955l_bool,type,
hAPP_A45661955l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1547458257l_bool,type,
hAPP_f1547458257l_bool: ( $i * $i ) > $i ).
tff(hAPP_f2022872455l_bool,type,
hAPP_f2022872455l_bool: ( $i * $i ) > $i ).
tff(hAPP_f961197973l_bool,type,
hAPP_f961197973l_bool: ( $i * $i ) > $i ).
tff(hAPP_f684072049t_bool,type,
hAPP_f684072049t_bool: ( $i * $i ) > $i ).
tff(hAPP_f1283354413t_bool,type,
hAPP_f1283354413t_bool: ( $i * $i ) > $i ).
tff(hAPP_f740740988l_bool,type,
hAPP_f740740988l_bool: ( $i * $i ) > $i ).
tff(member_bool,type,
member_bool: $i ).
tff(member1226631410t_unit,type,
member1226631410t_unit: $i ).
tff(ord_le1874503007t_bool,type,
ord_le1874503007t_bool: $i ).
tff(hAPP_P1245388556t_bool,type,
hAPP_P1245388556t_bool: ( $i * $i ) > $i ).
tff(cOMBK_350223551e_indi,type,
cOMBK_350223551e_indi: $i ).
tff(hAPP_P1813625415t_bool,type,
hAPP_P1813625415t_bool: ( $i * $i ) > $i ).
tff(hAPP_f1996228283l_bool,type,
hAPP_f1996228283l_bool: ( $i * $i ) > $i ).
tff(pi_nat1476290531e_indi,type,
pi_nat1476290531e_indi: ( $i * $i ) > $i ).
tff(member161528657e_indi,type,
member161528657e_indi: $i ).
tff(hAPP_f1332130404l_bool,type,
hAPP_f1332130404l_bool: ( $i * $i ) > $i ).
tff(top_to1849101472l_bool,type,
top_to1849101472l_bool: $i ).
tff(cOMBS_995062533t_bool,type,
cOMBS_995062533t_bool: ( $i * $i ) > $i ).
tff(pi_fun328162388t_bool,type,
pi_fun328162388t_bool: ( $i * $i ) > $i ).
tff(finite1524925796t_bool,type,
finite1524925796t_bool: $i > $i ).
tff(pi_fun596906370e_indi,type,
pi_fun596906370e_indi: ( $i * $i ) > $i ).
tff(hAPP_A1781286015t_bool,type,
hAPP_A1781286015t_bool: ( $i * $i ) > $i ).
tff(hAPP_f749156301l_bool,type,
hAPP_f749156301l_bool: ( $i * $i ) > $i ).
tff(hAPP_A1895296483di_nat,type,
hAPP_A1895296483di_nat: ( $i * $i ) > $i ).
tff(hAPP_f1836999501l_bool,type,
hAPP_f1836999501l_bool: ( $i * $i ) > $i ).
tff(cOMBB_810329756e_indi,type,
cOMBB_810329756e_indi: $i > $i ).
tff(hAPP_nat_nat,type,
hAPP_nat_nat: ( $i * $i ) > $i ).
tff(hAPP_f1384787615l_bool,type,
hAPP_f1384787615l_bool: ( $i * $i ) > $i ).
tff(hAPP_f272527115l_bool,type,
hAPP_f272527115l_bool: ( $i * $i ) > $i ).
tff(hAPP_b1096750261t_bool,type,
hAPP_b1096750261t_bool: ( $i * $i ) > $i ).
tff(undefi1052853330e_indi,type,
undefi1052853330e_indi: $i > $i ).
tff(hAPP_b1461182872l_bool,type,
hAPP_b1461182872l_bool: ( $i * $i ) > $i ).
tff(hAPP_f537623936l_bool,type,
hAPP_f537623936l_bool: ( $i * $i ) > $i ).
tff(is_fun20916972t_bool,type,
is_fun20916972t_bool: $i > $o ).
tff('#skF_74',type,
'#skF_74': ( $i * $i * $i ) > $i ).
tff(ord_le1482529602l_bool,type,
ord_le1482529602l_bool: $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff(fun,type,
fun: ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': $i ).
tff(cOMBB_552200224e_indi,type,
cOMBB_552200224e_indi: $i > $i ).
tff(finite945540987t_bool,type,
finite945540987t_bool: $i > $i ).
tff(b,type,
b: $i ).
tff(pi_fun1012573681t_unit,type,
pi_fun1012573681t_unit: ( $i * $i ) > $i ).
tff(hAPP_f1082951236l_bool,type,
hAPP_f1082951236l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1152614183t_bool,type,
hAPP_f1152614183t_bool: ( $i * $i ) > $i ).
tff(hAPP_f775987425t_bool,type,
hAPP_f775987425t_bool: ( $i * $i ) > $i ).
tff('#skF_78',type,
'#skF_78': ( $i * $i ) > $i ).
tff(finite1949902593t_unit,type,
finite1949902593t_unit: $i > $i ).
tff(member1935624595e_indi,type,
member1935624595e_indi: $i ).
tff('#skF_68',type,
'#skF_68': ( $i * $i * $i ) > $i ).
tff(hAPP_f1291635206l_bool,type,
hAPP_f1291635206l_bool: ( $i * $i ) > $i ).
tff(ord_le1260664009l_bool,type,
ord_le1260664009l_bool: $i ).
tff('#skF_85',type,
'#skF_85': ( $i * $i ) > $i ).
tff(pi_fun268174099e_indi,type,
pi_fun268174099e_indi: ( $i * $i ) > $i ).
tff(hAPP_f1639180358l_bool,type,
hAPP_f1639180358l_bool: ( $i * $i ) > $i ).
tff(if_fun1158274329t_bool,type,
if_fun1158274329t_bool: $i ).
tff(cOMBC_226598744l_bool,type,
cOMBC_226598744l_bool: $i ).
tff(hAPP_P822772139t_bool,type,
hAPP_P822772139t_bool: ( $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i ) > $i ).
tff(hAPP_f2040535501l_bool,type,
hAPP_f2040535501l_bool: ( $i * $i ) > $i ).
tff(pi_fun568395771l_bool,type,
pi_fun568395771l_bool: ( $i * $i ) > $i ).
tff(hAPP_f66927821l_bool,type,
hAPP_f66927821l_bool: ( $i * $i ) > $i ).
tff(hAPP_f651290349i_bool,type,
hAPP_f651290349i_bool: ( $i * $i ) > $i ).
tff(member300433020le_alt,type,
member300433020le_alt: $i ).
tff(hAPP_f1216491309l_bool,type,
hAPP_f1216491309l_bool: ( $i * $i ) > $i ).
tff(pi_Arr742795713t_bool,type,
pi_Arr742795713t_bool: ( $i * $i ) > $i ).
tff(hAPP_f1980578603l_bool,type,
hAPP_f1980578603l_bool: ( $i * $i ) > $i ).
tff(arrow_1549387998ctator,type,
arrow_1549387998ctator: $i ).
tff(one_one_nat,type,
one_one_nat: $i ).
tff(hAPP_f1146629647l_bool,type,
hAPP_f1146629647l_bool: ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(hAPP_P992343101t_unit,type,
hAPP_P992343101t_unit: ( $i * $i ) > $i ).
tff(hAPP_f1882280879t_bool,type,
hAPP_f1882280879t_bool: ( $i * $i ) > $i ).
tff(ord_le1028202352i_bool,type,
ord_le1028202352i_bool: $i ).
tff(member87760213it_nat,type,
member87760213it_nat: $i ).
tff(ord_le1141238780l_bool,type,
ord_le1141238780l_bool: $i ).
tff('#skF_41',type,
'#skF_41': $i > $i ).
tff(hAPP_f595617317i_bool,type,
hAPP_f595617317i_bool: ( $i * $i ) > $i ).
tff(member234310528e_indi,type,
member234310528e_indi: $i ).
tff(inj_on398823523t_bool,type,
inj_on398823523t_bool: $i > $i ).
tff(pi_fun1353458625e_indi,type,
pi_fun1353458625e_indi: ( $i * $i ) > $i ).
tff(ord_less_eq_bool,type,
ord_less_eq_bool: $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i ) > $i ).
tff('#skF_88',type,
'#skF_88': ( $i * $i * $i ) > $i ).
tff(top_to935749874l_bool,type,
top_to935749874l_bool: $i ).
tff(hAPP_f832306437t_bool,type,
hAPP_f832306437t_bool: ( $i * $i ) > $i ).
tff(member1044213697t_bool,type,
member1044213697t_bool: $i ).
tff(ord_less_eq_nat,type,
ord_less_eq_nat: $i ).
tff(hAPP_f1378099862l_bool,type,
hAPP_f1378099862l_bool: ( $i * $i ) > $i ).
tff('#skF_64',type,
'#skF_64': ( $i * $i * $i * $i ) > $i ).
tff(hAPP_f785487437l_bool,type,
hAPP_f785487437l_bool: ( $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i ) > $i ).
tff(cOMBK_1673635960le_alt,type,
cOMBK_1673635960le_alt: $i ).
tff(pi_Arr656802323t_bool,type,
pi_Arr656802323t_bool: ( $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i ) > $i ).
tff(arrow_207701375_below,type,
arrow_207701375_below: ( $i * $i * $i ) > $i ).
tff(hAPP_P1157363642t_bool,type,
hAPP_P1157363642t_bool: ( $i * $i ) > $i ).
tff(member219620739le_alt,type,
member219620739le_alt: $i ).
tff('#skF_58',type,
'#skF_58': ( $i * $i * $i ) > $i ).
tff(hAPP_b763490121t_bool,type,
hAPP_b763490121t_bool: ( $i * $i ) > $i ).
tff(product_prod,type,
product_prod: ( $i * $i ) > $i ).
tff(hAPP_f599997089l_bool,type,
hAPP_f599997089l_bool: ( $i * $i ) > $i ).
tff(ord_le1568362934t_bool,type,
ord_le1568362934t_bool: $i ).
tff(hAPP_f937100551l_bool,type,
hAPP_f937100551l_bool: ( $i * $i ) > $i ).
tff(cOMBC_943734388l_bool,type,
cOMBC_943734388l_bool: $i ).
tff('#skF_84',type,
'#skF_84': ( $i * $i ) > $i ).
tff('#skF_54',type,
'#skF_54': ( $i * $i ) > $i ).
tff(hAPP_f612708895l_bool,type,
hAPP_f612708895l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1344932147l_bool,type,
hAPP_f1344932147l_bool: ( $i * $i ) > $i ).
tff(hAPP_f144393719l_bool,type,
hAPP_f144393719l_bool: ( $i * $i ) > $i ).
tff(hAPP_A659996934l_bool,type,
hAPP_A659996934l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1000663785t_bool,type,
hAPP_f1000663785t_bool: ( $i * $i ) > $i ).
tff(hAPP_f742658307l_bool,type,
hAPP_f742658307l_bool: ( $i * $i ) > $i ).
tff(cOMBB_1015721476ol_nat,type,
cOMBB_1015721476ol_nat: $i > $i ).
tff(cOMBK_776847951t_bool,type,
cOMBK_776847951t_bool: $i ).
tff(member1801639028e_indi,type,
member1801639028e_indi: $i ).
tff(hAPP_f783549695i_bool,type,
hAPP_f783549695i_bool: ( $i * $i ) > $i ).
tff(hAPP_A643475905l_bool,type,
hAPP_A643475905l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1077635369i_bool,type,
hAPP_f1077635369i_bool: ( $i * $i ) > $i ).
tff(hAPP_f881677315l_bool,type,
hAPP_f881677315l_bool: ( $i * $i ) > $i ).
tff(member982489409t_unit,type,
member982489409t_unit: $i ).
tff(inj_on1507564774t_bool,type,
inj_on1507564774t_bool: $i > $i ).
tff(collec279390863e_indi,type,
collec279390863e_indi: $i > $i ).
tff('#skF_51',type,
'#skF_51': ( $i * $i ) > $i ).
tff(hAPP_A1120018583t_bool,type,
hAPP_A1120018583t_bool: ( $i * $i ) > $i ).
tff(hAPP_f1817389232t_bool,type,
hAPP_f1817389232t_bool: ( $i * $i ) > $i ).
tff(member1775405935t_bool,type,
member1775405935t_bool: $i ).
tff(hilber951314860di_nat,type,
hilber951314860di_nat: ( $i * $i ) > $i ).
tff('#skF_90',type,
'#skF_90': $i > $i ).
tff(hAPP_f863441901l_bool,type,
hAPP_f863441901l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1426445843l_bool,type,
hAPP_f1426445843l_bool: ( $i * $i ) > $i ).
tff('#skF_71',type,
'#skF_71': ( $i * $i ) > $i ).
tff(hAPP_f2011903565l_bool,type,
hAPP_f2011903565l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1975142533t_bool,type,
hAPP_f1975142533t_bool: ( $i * $i ) > $i ).
tff(hAPP_f627309453l_bool,type,
hAPP_f627309453l_bool: ( $i * $i ) > $i ).
tff(hAPP_P32877782t_bool,type,
hAPP_P32877782t_bool: ( $i * $i ) > $i ).
tff(finite354462354e_indi,type,
finite354462354e_indi: $i > $i ).
tff(cOMBC_441619036t_bool,type,
cOMBC_441619036t_bool: $i ).
tff(hAPP_f431432850i_bool,type,
hAPP_f431432850i_bool: ( $i * $i ) > $i ).
tff(hAPP_A1202525278t_bool,type,
hAPP_A1202525278t_bool: ( $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': $i > $i ).
tff('#skF_60',type,
'#skF_60': ( $i * $i * $i ) > $i ).
tff(pi_bool_nat,type,
pi_bool_nat: ( $i * $i ) > $i ).
tff(arrow_163947511_mkbot,type,
arrow_163947511_mkbot: $i ).
tff(cOMBC_264525026l_bool,type,
cOMBC_264525026l_bool: $i ).
tff(collect_Product_unit,type,
collect_Product_unit: $i > $i ).
tff(hAPP_f1733357041l_bool,type,
hAPP_f1733357041l_bool: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i * $i * $i ) > $i ).
tff(hAPP_n215258509l_bool,type,
hAPP_n215258509l_bool: ( $i * $i ) > $i ).
tff(pi_Arr1801471756t_bool,type,
pi_Arr1801471756t_bool: ( $i * $i ) > $i ).
tff(hAPP_A340536322t_bool,type,
hAPP_A340536322t_bool: ( $i * $i ) > $i ).
tff(cOMBK_761999167t_bool,type,
cOMBK_761999167t_bool: $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff(hAPP_f102394819t_bool,type,
hAPP_f102394819t_bool: ( $i * $i ) > $i ).
tff(hAPP_f452450509l_bool,type,
hAPP_f452450509l_bool: ( $i * $i ) > $i ).
tff(pi_Pro1873779901t_bool,type,
pi_Pro1873779901t_bool: ( $i * $i ) > $i ).
tff(ord_at4362885an_nat,type,
ord_at4362885an_nat: $i > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff(is_fun2015243113i_bool,type,
is_fun2015243113i_bool: $i > $o ).
tff(cOMBK_1918246033t_bool,type,
cOMBK_1918246033t_bool: $i ).
tff(hAPP_f2053170815l_bool,type,
hAPP_f2053170815l_bool: ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i ) > $i ).
tff(hAPP_A630236912t_bool,type,
hAPP_A630236912t_bool: ( $i * $i ) > $i ).
tff(hAPP_f1458726223t_bool,type,
hAPP_f1458726223t_bool: ( $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i ) > $i ).
tff(member_nat,type,
member_nat: $i ).
tff(hAPP_f416620757at_nat,type,
hAPP_f416620757at_nat: ( $i * $i ) > $i ).
tff(hAPP_f1021828400l_bool,type,
hAPP_f1021828400l_bool: ( $i * $i ) > $i ).
tff(cOMBC_325526267t_bool,type,
cOMBC_325526267t_bool: $i ).
tff(finite_finite_nat,type,
finite_finite_nat: $i ).
tff(collec1567922785t_bool,type,
collec1567922785t_bool: $i > $i ).
tff('#skF_83',type,
'#skF_83': ( $i * $i ) > $i ).
tff(hAPP_f1363425282l_bool,type,
hAPP_f1363425282l_bool: ( $i * $i ) > $i ).
tff(pi_fun623621634t_unit,type,
pi_fun623621634t_unit: ( $i * $i ) > $i ).
tff(hAPP_f1931036015t_bool,type,
hAPP_f1931036015t_bool: ( $i * $i ) > $i ).
tff(arrow_1550141362nimity,type,
arrow_1550141362nimity: $i ).
tff(cOMBC_1377016489t_bool,type,
cOMBC_1377016489t_bool: $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i ) > $i ).
tff(n,type,
n: $i ).
tff(pi_Pro269694131t_unit,type,
pi_Pro269694131t_unit: ( $i * $i ) > $i ).
tff(fTrue,type,
fTrue: $i ).
tff(hAPP_f2016919811l_bool,type,
hAPP_f2016919811l_bool: ( $i * $i ) > $i ).
tff('#skF_77',type,
'#skF_77': $i > $i ).
tff(hAPP_f715600357l_bool,type,
hAPP_f715600357l_bool: ( $i * $i ) > $i ).
tff(d,type,
d: $i ).
tff('#skF_81',type,
'#skF_81': ( $i * $i ) > $i ).
tff(arrow_885770895le_IIA,type,
arrow_885770895le_IIA: $i ).
tff(pi_Pro1114473858t_bool,type,
pi_Pro1114473858t_bool: ( $i * $i ) > $i ).
tff(hAPP_f350403485e_indi,type,
hAPP_f350403485e_indi: ( $i * $i ) > $i ).
tff(hAPP_f372913425t_bool,type,
hAPP_f372913425t_bool: ( $i * $i ) > $i ).
tff(cOMBB_800536526ol_nat,type,
cOMBB_800536526ol_nat: $i > $i ).
tff(hAPP_A28770973t_bool,type,
hAPP_A28770973t_bool: ( $i * $i ) > $i ).
tff(collec1517527055t_bool,type,
collec1517527055t_bool: $i > $i ).
tff(hAPP_f591334822l_bool,type,
hAPP_f591334822l_bool: ( $i * $i ) > $i ).
tff(cOMBC_420816290l_bool,type,
cOMBC_420816290l_bool: $i ).
tff(cOMBC_1373788917t_bool,type,
cOMBC_1373788917t_bool: $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(hAPP_f754536332t_unit,type,
hAPP_f754536332t_unit: ( $i * $i ) > $i ).
tff(member930088569t_bool,type,
member930088569t_bool: $i ).
tff(is_Arr859726945e_indi,type,
is_Arr859726945e_indi: $i > $o ).
tff('#skF_95',type,
'#skF_95': $i > $i ).
tff(hAPP_A64811457t_bool,type,
hAPP_A64811457t_bool: ( $i * $i ) > $i ).
tff(hAPP_A711952286t_bool,type,
hAPP_A711952286t_bool: ( $i * $i ) > $i ).
tff(undefined_bool,type,
undefined_bool: $i > $i ).
tff(hAPP_f750478076l_bool,type,
hAPP_f750478076l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1393414918t_bool,type,
hAPP_f1393414918t_bool: ( $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': ( $i * $i ) > $i ).
tff('#skF_61',type,
'#skF_61': ( $i * $i * $i ) > $i ).
tff('#skF_94',type,
'#skF_94': $i > $i ).
tff(hAPP_n1699378549t_bool,type,
hAPP_n1699378549t_bool: ( $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i ) > $i ).
tff(finite955821396le_alt,type,
finite955821396le_alt: $i ).
tff(hAPP_f1140532045l_bool,type,
hAPP_f1140532045l_bool: ( $i * $i ) > $i ).
tff(cOMBB_930893948e_indi,type,
cOMBB_930893948e_indi: $i > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(pi_boo68262458t_bool,type,
pi_boo68262458t_bool: ( $i * $i ) > $i ).
tff(collec612883262t_bool,type,
collec612883262t_bool: $i > $i ).
tff('#skF_87',type,
'#skF_87': ( $i * $i ) > $i ).
tff(member_fun_nat_bool,type,
member_fun_nat_bool: $i ).
tff(hAPP_P667392034l_bool,type,
hAPP_P667392034l_bool: ( $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(hAPP_f649586561t_bool,type,
hAPP_f649586561t_bool: ( $i * $i ) > $i ).
tff(cOMBK_1391252605e_indi,type,
cOMBK_1391252605e_indi: $i ).
tff(ord_le197158773l_bool,type,
ord_le197158773l_bool: $i ).
tff('#skF_59',type,
'#skF_59': ( $i * $i * $i ) > $i ).
tff('#skF_55',type,
'#skF_55': ( $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i * $i ) > $i ).
tff(pi_Pro58544964e_indi,type,
pi_Pro58544964e_indi: ( $i * $i ) > $i ).
tff(ord_le1976645739t_bool,type,
ord_le1976645739t_bool: $i ).
tff(member1258284266t_bool,type,
member1258284266t_bool: $i ).
tff(hAPP_f1092358369t_bool,type,
hAPP_f1092358369t_bool: ( $i * $i ) > $i ).
tff(hAPP_n633340360t_unit,type,
hAPP_n633340360t_unit: ( $i * $i ) > $i ).
tff(member873781636di_nat,type,
member873781636di_nat: $i ).
tff(hAPP_f866114756l_bool,type,
hAPP_f866114756l_bool: ( $i * $i ) > $i ).
tff(hAPP_b327863236t_bool,type,
hAPP_b327863236t_bool: ( $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff(hAPP_f1570313510t_bool,type,
hAPP_f1570313510t_bool: ( $i * $i ) > $i ).
tff(hAPP_f817344902l_bool,type,
hAPP_f817344902l_bool: ( $i * $i ) > $i ).
tff(ord_le64728819t_bool,type,
ord_le64728819t_bool: $i ).
tff(cOMBC_1455277858l_bool,type,
cOMBC_1455277858l_bool: $i ).
tff('#skF_98',type,
'#skF_98': $i ).
tff(pi_Product_unit_nat,type,
pi_Product_unit_nat: ( $i * $i ) > $i ).
tff('#skF_63',type,
'#skF_63': $i ).
tff(hAPP_f812095627l_bool,type,
hAPP_f812095627l_bool: ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i * $i * $i ) > $i ).
tff(hAPP_f1138659662l_bool,type,
hAPP_f1138659662l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1716204858t_unit,type,
hAPP_f1716204858t_unit: ( $i * $i ) > $i ).
tff(hAPP_A85603248t_bool,type,
hAPP_A85603248t_bool: ( $i * $i ) > $i ).
tff(hAPP_b2116075462i_bool,type,
hAPP_b2116075462i_bool: ( $i * $i ) > $i ).
tff(hAPP_A503573454le_alt,type,
hAPP_A503573454le_alt: ( $i * $i ) > $i ).
tff(ord_le319160163t_bool,type,
ord_le319160163t_bool: $i ).
tff(member416763266t_unit,type,
member416763266t_unit: $i ).
tff(member220564739e_indi,type,
member220564739e_indi: $i ).
tff(member1704306684t_bool,type,
member1704306684t_bool: $i ).
tff(inj_on_nat_nat,type,
inj_on_nat_nat: $i > $i ).
tff(hAPP_b589554111l_bool,type,
hAPP_b589554111l_bool: ( $i * $i ) > $i ).
tff(hAPP_P1931143485le_alt,type,
hAPP_P1931143485le_alt: ( $i * $i ) > $i ).
tff(hAPP_f23348649l_bool,type,
hAPP_f23348649l_bool: ( $i * $i ) > $i ).
tff(e,type,
e: $i ).
tff(inj_on735362094t_bool,type,
inj_on735362094t_bool: $i > $i ).
tff(arrow_1046586475_above,type,
arrow_1046586475_above: $i ).
tff(hAPP_n619554777e_indi,type,
hAPP_n619554777e_indi: ( $i * $i ) > $i ).
tff(hAPP_f1898839893l_bool,type,
hAPP_f1898839893l_bool: ( $i * $i ) > $i ).
tff(cOMBB_711698847le_alt,type,
cOMBB_711698847le_alt: $i > $i ).
tff(undefi1471133025le_alt,type,
undefi1471133025le_alt: $i > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(member104322770t_bool,type,
member104322770t_bool: $i ).
tff(zero_zero_nat,type,
zero_zero_nat: $i ).
tff('#skF_75',type,
'#skF_75': ( $i * $i * $i ) > $i ).
tff(hAPP_f1700034367l_bool,type,
hAPP_f1700034367l_bool: ( $i * $i ) > $i ).
tff(finite274731772t_bool,type,
finite274731772t_bool: $i ).
tff(ord_le2143686384l_bool,type,
ord_le2143686384l_bool: $i ).
tff(cOMBC_1528317666l_bool,type,
cOMBC_1528317666l_bool: $i ).
tff('#skF_89',type,
'#skF_89': ( $i * $i ) > $i ).
tff(cOMBC_344067350l_bool,type,
cOMBC_344067350l_bool: $i ).
tff(hAPP_f2027600413t_bool,type,
hAPP_f2027600413t_bool: ( $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i ) > $i ).
tff(pi_Arr1064242500le_alt,type,
pi_Arr1064242500le_alt: ( $i * $i ) > $i ).
tff(p,type,
p: $i ).
tff(produc1456060119le_alt,type,
produc1456060119le_alt: $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i ) > $i ).
tff(hAPP_f114580065t_bool,type,
hAPP_f114580065t_bool: ( $i * $i ) > $i ).
tff(cOMBB_885534287le_alt,type,
cOMBB_885534287le_alt: $i > $i ).
tff(hAPP_f1722879237t_bool,type,
hAPP_f1722879237t_bool: ( $i * $i ) > $i ).
tff(hAPP_f2134766349l_bool,type,
hAPP_f2134766349l_bool: ( $i * $i ) > $i ).
tff(hAPP_A1906804694t_bool,type,
hAPP_A1906804694t_bool: ( $i * $i ) > $i ).
tff('#skF_86',type,
'#skF_86': $i > $i ).
tff(hAPP_f1387788301l_bool,type,
hAPP_f1387788301l_bool: ( $i * $i ) > $i ).
tff(pi_fun1555365306t_bool,type,
pi_fun1555365306t_bool: ( $i * $i ) > $i ).
tff(hAPP_f574392641l_bool,type,
hAPP_f574392641l_bool: ( $i * $i ) > $i ).
tff(cOMBC_1722249314l_bool,type,
cOMBC_1722249314l_bool: $i ).
tff(hAPP_f581841297t_bool,type,
hAPP_f581841297t_bool: ( $i * $i ) > $i ).
tff(is_fun1568535512t_bool,type,
is_fun1568535512t_bool: $i > $o ).
tff('#skF_42',type,
'#skF_42': $i > $i ).
tff(collect_nat,type,
collect_nat: $i > $i ).
tff(hAPP_f160177134l_bool,type,
hAPP_f160177134l_bool: ( $i * $i ) > $i ).
tff(hAPP_b821377302t_bool,type,
hAPP_b821377302t_bool: ( $i * $i ) > $i ).
tff(pi_nat_Product_unit,type,
pi_nat_Product_unit: ( $i * $i ) > $i ).
tff(hAPP_f2087408397l_bool,type,
hAPP_f2087408397l_bool: ( $i * $i ) > $i ).
tff(is_fun292781289l_bool,type,
is_fun292781289l_bool: $i > $o ).
tff(hAPP_f1656652505l_bool,type,
hAPP_f1656652505l_bool: ( $i * $i ) > $i ).
tff(hAPP_f446648900l_bool,type,
hAPP_f446648900l_bool: ( $i * $i ) > $i ).
tff(cOMBK_776703103e_indi,type,
cOMBK_776703103e_indi: $i ).
tff(finite921964625e_indi,type,
finite921964625e_indi: $i ).
tff(member1941767151t_unit,type,
member1941767151t_unit: $i ).
tff('#skF_96',type,
'#skF_96': ( $i * $i ) > $i ).
tff(fFalse,type,
fFalse: $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff(inj_on302999388e_indi,type,
inj_on302999388e_indi: $i > $i ).
tff(hAPP_P1645359566e_indi,type,
hAPP_P1645359566e_indi: ( $i * $i ) > $i ).
tff(member48503289l_bool,type,
member48503289l_bool: $i ).
tff(hAPP_n1600508401i_bool,type,
hAPP_n1600508401i_bool: ( $i * $i ) > $i ).
tff(top_to1257323279t_bool,type,
top_to1257323279t_bool: $i ).
tff(pi_Arr604548589di_nat,type,
pi_Arr604548589di_nat: ( $i * $i ) > $i ).
tff(hAPP_f1692576003l_bool,type,
hAPP_f1692576003l_bool: ( $i * $i ) > $i ).
tff(member720722004le_alt,type,
member720722004le_alt: $i ).
tff(hAPP_A739031709t_bool,type,
hAPP_A739031709t_bool: ( $i * $i ) > $i ).
tff(is_fun1420103068l_bool,type,
is_fun1420103068l_bool: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(image_837079859di_nat,type,
image_837079859di_nat: ( $i * $i ) > $i ).
tff(hAPP_P957402556i_bool,type,
hAPP_P957402556i_bool: ( $i * $i ) > $i ).
tff(hAPP_P1122857141l_bool,type,
hAPP_P1122857141l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1895971544l_bool,type,
hAPP_f1895971544l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1332197581l_bool,type,
hAPP_f1332197581l_bool: ( $i * $i ) > $i ).
tff(top_top_fun_nat_bool,type,
top_top_fun_nat_bool: $i ).
tff(hAPP_n454528608t_bool,type,
hAPP_n454528608t_bool: ( $i * $i ) > $i ).
tff(hAPP_b1013836512t_bool,type,
hAPP_b1013836512t_bool: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(hAPP_f1898540574t_bool,type,
hAPP_f1898540574t_bool: ( $i * $i ) > $i ).
tff(cOMBK_bool_nat,type,
cOMBK_bool_nat: $i ).
tff(hAPP_f147218624l_bool,type,
hAPP_f147218624l_bool: ( $i * $i ) > $i ).
tff(hAPP_f557371893l_bool,type,
hAPP_f557371893l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1028172757l_bool,type,
hAPP_f1028172757l_bool: ( $i * $i ) > $i ).
tff(hAPP_P288224245l_bool,type,
hAPP_P288224245l_bool: ( $i * $i ) > $i ).
tff(ord_le1079191765l_bool,type,
ord_le1079191765l_bool: $i ).
tff(member363954533t_bool,type,
member363954533t_bool: $i ).
tff(hAPP_f1841347694t_bool,type,
hAPP_f1841347694t_bool: ( $i * $i ) > $i ).
tff(is_fun1084921220e_indi,type,
is_fun1084921220e_indi: $i > $o ).
tff(hAPP_f719005683l_bool,type,
hAPP_f719005683l_bool: ( $i * $i ) > $i ).
tff(cOMBB_640263118e_indi,type,
cOMBB_640263118e_indi: $i > $i ).
tff(hAPP_f1951378235l_bool,type,
hAPP_f1951378235l_bool: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_4774,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))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f_591,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) ).
tff(f_588,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) ).
tff(c_2872,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))),
inference(cnfTransformation,[status(thm)],[f_4774]) ).
tff(c_414,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(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_3057,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(negUnitSimplification,[status(thm)],[c_2872,c_414]) ).
tff(c_412,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(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_3058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3057,c_412]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT171+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %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 3 13:16:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 15.01/5.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.01/5.06
% 15.01/5.06 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.01/5.10
% 15.01/5.10 Inference rules
% 15.01/5.10 ----------------------
% 15.01/5.10 #Ref : 0
% 15.01/5.10 #Sup : 0
% 15.01/5.10 #Fact : 0
% 15.01/5.10 #Define : 0
% 15.01/5.10 #Split : 0
% 15.01/5.10 #Chain : 0
% 15.01/5.10 #Close : 0
% 15.01/5.10
% 15.01/5.10 Ordering : KBO
% 15.01/5.10
% 15.01/5.10 Simplification rules
% 15.01/5.10 ----------------------
% 15.01/5.10 #Subsume : 1193
% 15.01/5.10 #Demod : 171
% 15.01/5.10 #Tautology : 232
% 15.01/5.10 #SimpNegUnit : 10
% 15.01/5.10 #BackRed : 0
% 15.01/5.10
% 15.01/5.10 #Partial instantiations: 0
% 15.01/5.10 #Strategies tried : 1
% 15.01/5.10
% 15.01/5.10 Timing (in seconds)
% 15.01/5.10 ----------------------
% 15.01/5.11 Preprocessing : 2.47
% 15.01/5.11 Parsing : 1.06
% 15.01/5.11 CNF conversion : 0.17
% 15.01/5.11 Main loop : 1.56
% 15.01/5.11 Inferencing : 0.00
% 15.01/5.11 Reduction : 0.98
% 15.01/5.11 Demodulation : 0.67
% 15.01/5.11 BG Simplification : 0.17
% 15.01/5.11 Subsumption : 0.39
% 15.01/5.11 Abstraction : 0.08
% 15.01/5.11 MUC search : 0.00
% 15.01/5.11 Cooper : 0.00
% 15.01/5.11 Total : 4.09
% 15.01/5.11 Index Insertion : 0.00
% 15.01/5.11 Index Deletion : 0.00
% 15.01/5.11 Index Matching : 0.00
% 15.01/5.11 BG Taut test : 0.00
%------------------------------------------------------------------------------