%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NUM924_4 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n024.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 10:53:07 EDT 2023

% Result   : Theorem 284.73s 214.09s
% Output   : CNFRefutation 284.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      : 2174
% Syntax   : Number of formulae    : 2218 (  63 unt;2153 typ;   0 def)
%            Number of atoms       :   72 (  61 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   15 (   8   ~;   1   |;   3   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number of types       :  525 ( 524 usr)
%            Number of type conns  : 2609 (1190   >;1419   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    : 1628 (1628 usr; 439 con; 0-9 aty)
%            Number of variables   :   29 (;  29   !;   0   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
%$ hBOOL > xzgcda > tendsto_real_real > tendsto_nat_real > tendsto_nat_complex > tendsto_complex_real > tendst1507391555omplex > bolzano_bisect > xzgcd > setS > rcis > rRset2norRR > quickc495462417de_int > posDivAlg > pdivmod > norm_frac > negDivAlg > nat_case_nat > nat_case_bool > multInvPair > image_nat_nat > image_nat_int > image_int_nat > image_int_int > image_275383677t_bool > hAPP_real_real > hAPP_real_complex > hAPP_real_bool > hAPP_rat_rat > hAPP_rat_fun_rat_rat > hAPP_rat_fun_nat_rat > hAPP_rat_bool > hAPP_r938550413l_real > hAPP_r931665397l_real > hAPP_r847664445t_bool > hAPP_r794344869l_real > hAPP_r712953929l_real > hAPP_r653725362t_bool > hAPP_r632163725t_bool > hAPP_r579619957l_real > hAPP_r50993370t_real > hAPP_r481142414t_bool > hAPP_r474017924t_real > hAPP_r373117745t_bool > hAPP_r337325687l_real > hAPP_r285062775l_bool > hAPP_r279757445t_bool > hAPP_r265291036omplex > hAPP_r224952523l_real > hAPP_r2115560837t_bool > hAPP_r2052264067t_bool > hAPP_r2019696015l_real > hAPP_r1962736578t_bool > hAPP_r195310020l_real > hAPP_r1938957037l_bool > hAPP_r1900510169t_bool > hAPP_r1623423338t_bool > hAPP_r1562208522t_bool > hAPP_r1409264866l_real > hAPP_r1392521531t_bool > hAPP_r1250527377l_real > hAPP_r1230691443l_real > hAPP_r1195171167l_real > hAPP_r1150855451l_bool > hAPP_r1134773055l_bool > hAPP_r1130899993l_bool > hAPP_r1043989325l_real > hAPP_nat_real > hAPP_nat_rat > hAPP_nat_nat > hAPP_nat_int > hAPP_nat_fun_rat_rat > hAPP_nat_fun_nat_nat > hAPP_nat_fun_int_int > hAPP_nat_complex > hAPP_nat_bool > hAPP_n682674106l_real > hAPP_n546711566l_real > hAPP_n522471361de_int > hAPP_n332733730l_real > hAPP_n215258509l_bool > hAPP_n1983812447omplex > hAPP_n1865633855at_nat > hAPP_n1699378549t_bool > hAPP_n1289843868at_nat > hAPP_n1108039445umeral > hAPP_n1006566506l_bool > hAPP_list_int_nat > hAPP_int_real > hAPP_int_rat > hAPP_int_nat > hAPP_int_int > hAPP_int_fun_nat_int > hAPP_int_fun_int_rat > hAPP_int_fun_int_int > hAPP_int_complex > hAPP_int_bool > hAPP_i998473677nt_int > hAPP_i872162435t_bool > hAPP_i769753017umeral > hAPP_i744251628nt_int > hAPP_i688218208l_bool > hAPP_i68813070l_bool > hAPP_i627165055t_real > hAPP_i614188481l_bool > hAPP_i61245889nt_int > hAPP_i447943416t_real > hAPP_i418383825t_bool > hAPP_i371647666l_real > hAPP_i345030060t_bool > hAPP_i2112223885l_bool > hAPP_i2104874254nt_int > hAPP_i1948725293t_bool > hAPP_i1836591008nt_int > hAPP_i1823918693l_bool > hAPP_i1796122964t_bool > hAPP_i1778081398nt_int > hAPP_i1732201573de_int > hAPP_i1730167831nt_int > hAPP_i1671359920t_real > hAPP_i16292313t_bool > hAPP_i1584592887nt_int > hAPP_i157317923t_real > hAPP_i1529485324t_bool > hAPP_i1524277240nt_int > hAPP_i1216375074nt_int > hAPP_i119638232t_bool > hAPP_i1153444985nt_int > hAPP_f999082675at_nat > hAPP_f983569339t_bool > hAPP_f960630521nt_int > hAPP_f957591787ol_nat > hAPP_f956464319t_bool > hAPP_f940061907l_bool > hAPP_f93439879ol_nat > hAPP_f918606171t_real > hAPP_f908327869t_bool > hAPP_f895854793t_real > hAPP_f894608603t_bool > hAPP_f892584630t_bool > hAPP_f888249301nt_int > hAPP_f883232462nt_int > hAPP_f866672739t_bool > hAPP_f857296063t_bool > hAPP_f85237525t_bool > hAPP_f850851693l_real > hAPP_f848516149l_bool > hAPP_f847817363t_bool > hAPP_f837737749at_nat > hAPP_f836602773nt_int > hAPP_f834119977l_bool > hAPP_f824790735l_bool > hAPP_f823702159l_real > hAPP_f808647893nt_int > hAPP_f801032407l_bool > hAPP_f800510211t_bool > hAPP_f800361423l_real > hAPP_f791698359t_bool > hAPP_f782000547ol_nat > hAPP_f774948957l_real > hAPP_f77155443t_bool > hAPP_f766218899t_real > hAPP_f747475781nt_int > hAPP_f747162069nt_int > hAPP_f743790483t_bool > hAPP_f74147283t_real > hAPP_f737665877t_bool > hAPP_f73570213t_real > hAPP_f735247205t_bool > hAPP_f729588221t_bool > hAPP_f727283836t_bool > hAPP_f725770969t_bool > hAPP_f720654810t_bool > hAPP_f713949180nt_int > hAPP_f704188951t_bool > hAPP_f696844121t_bool > hAPP_f695504873l_bool > hAPP_f693283245t_bool > hAPP_f677014621l_real > hAPP_f66927821l_bool > hAPP_f659380387ol_int > hAPP_f654702867t_bool > hAPP_f644105375l_real > hAPP_f643658017l_bool > hAPP_f628503027l_bool > hAPP_f627970963t_bool > hAPP_f618557131t_bool > hAPP_f617735571l_real > hAPP_f617310012nt_int > hAPP_f60716669l_bool > hAPP_f605995867t_bool > hAPP_f601898971t_bool > hAPP_f59594445l_real > hAPP_f578362681nt_int > hAPP_f571820015t_bool > hAPP_f563293398t_real > hAPP_f561022312t_bool > hAPP_f556082547l_real > hAPP_f555557763l_real > hAPP_f55007289nt_int > hAPP_f54304608l_bool > hAPP_f538843494t_bool > hAPP_f538565589t_bool > hAPP_f534361363nt_int > hAPP_f526364711l_bool > hAPP_f521865025ol_nat > hAPP_f521271395nt_int > hAPP_f517738447l_real > hAPP_f513299955t_bool > hAPP_f512004221l_bool > hAPP_f499530369l_bool > hAPP_f492612297t_bool > hAPP_f472159229t_bool > hAPP_f465821005nt_int > hAPP_f461489489t_bool > hAPP_f451358433l_real > hAPP_f448129468l_bool > hAPP_f434654626nt_int > hAPP_f429935748t_bool > hAPP_f429384717t_bool > hAPP_f428220345t_bool > hAPP_f423804115t_bool > hAPP_f42270917t_real > hAPP_f422375781t_bool > hAPP_f416620757at_nat > hAPP_f41603166t_bool > hAPP_f406530075omplex > hAPP_f403082607t_bool > hAPP_f400538607nt_int > hAPP_f400200275nt_int > hAPP_f389116883t_bool > hAPP_f382317021nt_rat > hAPP_f381769257l_bool > hAPP_f374502857t_bool > hAPP_f365317245l_bool > hAPP_f352226557t_real > hAPP_f352196356l_real > hAPP_f351634443t_bool > hAPP_f340152631t_bool > hAPP_f335634176l_real > hAPP_f334321603nt_int > hAPP_f332806115t_bool > hAPP_f330985925l_bool > hAPP_f328572565l_real > hAPP_f327026105t_real > hAPP_f326728547t_bool > hAPP_f324002831l_real > hAPP_f320596107l_real > hAPP_f318350629l_real > hAPP_f301246617nt_int > hAPP_f292751352t_real > hAPP_f291087797t_bool > hAPP_f289318786t_bool > hAPP_f284875647l_bool > hAPP_f279307923nt_int > hAPP_f271976045t_bool > hAPP_f269654879t_real > hAPP_f264196187l_real > hAPP_f252743847l_bool > hAPP_f251264923nt_int > hAPP_f248847589l_real > hAPP_f23851874omplex > hAPP_f237669397t_bool > hAPP_f229349961t_bool > hAPP_f224989205l_real > hAPP_f223623489t_bool > hAPP_f22106695ol_nat > hAPP_f219720582omplex > hAPP_f215623910l_bool > hAPP_f214467655t_bool > hAPP_f2144054103l_bool > hAPP_f2135977429nt_int > hAPP_f213450978omplex > hAPP_f2126667875l_real > hAPP_f212164053t_real > hAPP_f2119767738t_bool > hAPP_f2119584768l_real > hAPP_f2114902373l_real > hAPP_f2105620693nt_int > hAPP_f2094497995nt_int > hAPP_f2084827628t_bool > hAPP_f2072293513l_real > hAPP_f2069516469l_real > hAPP_f2062659861at_rat > hAPP_f2054677283nt_int > hAPP_f2050994651t_bool > hAPP_f2042071795t_bool > hAPP_f2037783381l_bool > hAPP_f203520653l_real > hAPP_f202917053t_bool > hAPP_f2018027565t_bool > hAPP_f2004554147nt_int > hAPP_f2002277285nt_int > hAPP_f1998755145t_real > hAPP_f1993765077t_real > hAPP_f1992866895l_real > hAPP_f1990636069t_bool > hAPP_f197974549nt_int > hAPP_f197615720t_real > hAPP_f1965248563t_bool > hAPP_f1961001761l_bool > hAPP_f1960414057l_real > hAPP_f1950183573l_real > hAPP_f1935805932nt_int > hAPP_f1927674023t_bool > hAPP_f1926459811ol_int > hAPP_f1925507189l_bool > hAPP_f1920544743t_bool > hAPP_f1914919701at_nat > hAPP_f1914742907nt_int > hAPP_f1908301369l_real > hAPP_f1904307534l_real > hAPP_f1902329768t_bool > hAPP_f1900950721nt_rat > hAPP_f1900646853l_bool > hAPP_f1888375463t_real > hAPP_f1884005689l_bool > hAPP_f1879982819l_real > hAPP_f1878066172t_bool > hAPP_f1874145443l_real > hAPP_f1861673493l_bool > hAPP_f1855025978nt_int > hAPP_f1845081853t_bool > hAPP_f1840085295t_bool > hAPP_f183342685l_real > hAPP_f1832844496t_bool > hAPP_f1830834240at_rat > hAPP_f1830214065l_bool > hAPP_f1815301987t_bool > hAPP_f1805168059t_bool > hAPP_f1796904975t_real > hAPP_f1791153283t_bool > hAPP_f1786887945l_real > hAPP_f1781059817t_bool > hAPP_f1769710159nt_int > hAPP_f1763467369l_real > hAPP_f1760145644nt_int > hAPP_f1736103445l_real > hAPP_f1735705551nt_int > hAPP_f1734373249l_bool > hAPP_f1732848529l_real > hAPP_f1731313045at_nat > hAPP_f1731308757nt_int > hAPP_f1730463541l_real > hAPP_f172451459l_bool > hAPP_f1722879237t_bool > hAPP_f1720068861t_real > hAPP_f1690286043t_real > hAPP_f167782601nt_int > hAPP_f1676298106t_real > hAPP_f1673103573at_int > hAPP_f1663701695l_real > hAPP_f1646117269omplex > hAPP_f1644353557l_real > hAPP_f1639111240at_nat > hAPP_f1629352853nt_int > hAPP_f1625314454t_bool > hAPP_f1613846310t_real > hAPP_f1607917947l_real > hAPP_f1607377819t_real > hAPP_f1599440987ol_int > hAPP_f1594865479ol_int > hAPP_f1591894897l_real > hAPP_f1585078997at_nat > hAPP_f1582586579nt_int > hAPP_f1576199059t_bool > hAPP_f1574055885nt_int > hAPP_f1566856189t_real > hAPP_f1547007718nt_rat > hAPP_f1545556668t_bool > hAPP_f1523861863l_real > hAPP_f1512942609t_bool > hAPP_f151095827nt_int > hAPP_f1509287679l_real > hAPP_f1505651103t_bool > hAPP_f1501741374t_real > hAPP_f1501066425l_bool > hAPP_f1485493409l_bool > hAPP_f1480506641t_bool > hAPP_f1475822739t_bool > hAPP_f1469637905l_bool > hAPP_f1459420095t_bool > hAPP_f1457396693omplex > hAPP_f1456711209t_bool > hAPP_f1448486952t_bool > hAPP_f1431025877at_int > hAPP_f142232355nt_int > hAPP_f1418982953t_bool > hAPP_f1408247010at_nat > hAPP_f1407095736t_real > hAPP_f1406902706l_real > hAPP_f1402056515l_bool > hAPP_f1399575567t_bool > hAPP_f1393328161l_bool > hAPP_f1377453843nt_int > hAPP_f1375227553nt_int > hAPP_f1361476881t_bool > hAPP_f1356864277nt_int > hAPP_f1352333353l_real > hAPP_f1344929775l_bool > hAPP_f134192053t_real > hAPP_f1341793266t_bool > hAPP_f1325804733t_bool > hAPP_f1323932638t_real > hAPP_f1315737299t_bool > hAPP_f1311564564nt_int > hAPP_f1310479593l_real > hAPP_f1295083291t_real > hAPP_f1293550189l_real > hAPP_f1290670424t_real > hAPP_f1273270095t_bool > hAPP_f1270196437nt_rat > hAPP_f1261108921t_bool > hAPP_f125837377t_bool > hAPP_f125788821nt_int > hAPP_f1251097615t_bool > hAPP_f1241350704t_bool > hAPP_f1228585167nt_int > hAPP_f1222178131t_bool > hAPP_f1198736473t_bool > hAPP_f1187443546t_bool > hAPP_f1182713365t_bool > hAPP_f1177545951t_bool > hAPP_f1173902867t_bool > hAPP_f11709033t_bool > hAPP_f1169087445t_real > hAPP_f1163894827t_real > hAPP_f1161935955l_real > hAPP_f115998247l_bool > hAPP_f1154658180t_bool > hAPP_f1151807883nt_int > hAPP_f1148171384nt_int > hAPP_f1146629647l_bool > hAPP_f1139079189at_int > hAPP_f1135648319t_real > hAPP_f1131424617t_bool > hAPP_f1131305186at_rat > hAPP_f1129044203l_real > hAPP_f1122023986l_real > hAPP_f1121609875t_bool > hAPP_f1120137083nt_rat > hAPP_f1119546819l_real > hAPP_f1115375056t_bool > hAPP_f11151005nt_int > hAPP_f1109256153l_real > hAPP_f1108539711l_real > hAPP_f1092742621l_real > hAPP_f1084724746t_bool > hAPP_f1083049571t_bool > hAPP_f1082758869at_rat > hAPP_f1081447804nt_int > hAPP_f1080886329l_bool > hAPP_f1076489843l_real > hAPP_f1073644437at_rat > hAPP_f1067681227l_real > hAPP_f1065357839nt_rat > hAPP_f1063001928t_bool > hAPP_f1052840010omplex > hAPP_f1048215610t_bool > hAPP_f1040184293l_real > hAPP_f1038672605nt_int > hAPP_f103356543l_bool > hAPP_f101635158l_bool > hAPP_f1010710745l_bool > hAPP_complex_real > hAPP_complex_nat > hAPP_complex_complex > hAPP_complex_bool > hAPP_c172932010omplex > hAPP_c1403687985x_bool > hAPP_c1088319240omplex > hAPP_bool_bool > hAPP_b992065680at_nat > hAPP_b646336293l_real > hAPP_b589554111l_bool > hAPP_b40753821nt_int > hAPP_b1482221219l_real > hAPP_b1463609396nt_int > hAPP_Q952608535de_int > hAPP_Q2096512830t_bool > hAPP_Q1762011733de_int > hAPP_Q1729056540de_int > hAPP_Q125967240de_int > hAPP_Q1256397320de_int > hAPP_Q1010094925t_bool > hAPP_P989584703t_bool > hAPP_P941956607nt_int > hAPP_P921862901l_bool > hAPP_P880235623l_bool > hAPP_P877703507t_bool > hAPP_P752050971nt_int > hAPP_P731461727l_real > hAPP_P62333565t_bool > hAPP_P621635040nt_int > hAPP_P603027463t_bool > hAPP_P507092031nt_rat > hAPP_P408881810nt_int > hAPP_P402336767at_nat > hAPP_P369611207at_nat > hAPP_P252494982t_bool > hAPP_P230595783nt_int > hAPP_P2110489235nt_int > hAPP_P2053772734t_bool > hAPP_P1982799375l_real > hAPP_P1975530577nt_int > hAPP_P1876494581l_bool > hAPP_P1860904029l_real > hAPP_P1853363688nt_rat > hAPP_P1681069257l_bool > hAPP_P1668131738nt_int > hAPP_P1654798560at_nat > hAPP_P1586233937at_nat > hAPP_P1555980039t_bool > hAPP_P1463840893t_bool > hAPP_P1400155668t_bool > hAPP_P1333854989l_bool > hAPP_P1175774780nt_int > hAPP_P1145851913nt_int > hAPP_P1062890741l_bool > hAPP_C498520661umeral > hAPP_C471253896umeral > hAPP_C24501650l_bool > hAPP_C2132160860umeral > hAPP_C2129356693al_nat > hAPP_C1614127039umeral > hAPP_C1594335432umeral > hAPP_C10902773l_bool > fdisj > divmod_nat_rel > divmod_nat > divmod_int_rel > divmod_int > deriv_real > code_d418564891umeral > big_co1705425894at_nat > big_co1548731110nt_int > bezw > #nlpp > zcongm > zcong > z3mod > z3div > wset > vanishes > trivial_limit_nat > the_real > the_int > the_Pr588456374at_nat > the_Pr2103884470nt_int > sums_real > sums_complex > summable_real > summable_complex > standardRes > scaleR_scaleR_real > scaleR1652505878omplex > rsetR > resSet > ratreal > quotient_of > quickcheck_nat_of > quickcheck_int_of > quickc666637781d_zero > produc973645403t_bool > produc93441119t_bool > produc713050258nt_int > produc595218619l_real > produc1922581855t_bool > produc1518849193nt_int > produc1391996073at_nat > produc1298267108nt_int > ord_gr788844697n_real > ord_gr660468384an_nat > ord_gr1297742076an_int > ord_at875362053st_int > ord_at641636577an_int > ord_at4362885an_nat > ord_at238088361st_nat > ord_at1589558736t_real > ord_at1496968948n_real > of_real_complex > normalize > noXRRset > natfloor > natceiling > nat_tsub > nat_tr876908586nt_nat > nat_tr160667106at_int > nat_lcm > nat_gcd > nat_aux > multInv > monoseq_real > log > legendre > legacy_zgcd > is_RRset > isCont_real_real > isCont_complex_real > isCont156215680omplex > inv > int_lcm > int_ge_less_than2 > int_ge_less_than > hilbert_Eps_real > hilbert_Eps_int > frct > fimplies > expi > div_mod_nat > div_mod_int > div_mo231679042de_int > div_mo1740067990umeral > dist_dist_real > dist_dist_complex > diffs_real > complex_size > comple219730294t_bool > comple124823625p_real > collect_real > collect_nat > collect_int > collec50511176nt_int > collec1979865426at_nat > collec1347809874nt_int > code_nat_of_aux > code_int_of > code_c271388182l_size > code_S1047413653umeral > cis > cauchy_real > cauchy_complex > cOMBK_rat_nat > cOMBK_bool_nat > cOMBK_1643584600t_bool > bseq_real > bnorRset > bijR_int_int > at_real > at_complex > arg > archim856651990g_real > archim791455193or_rat > archim1246769320r_real > adjust > accp_int > accp_P490777396at_nat > accp_P2006205492nt_int > zprime > zfact > zero_zero_real > zero_zero_rat > zero_zero_nat > zero_zero_int > zero_zero_complex > zero_z891286103de_int > zero_z126310315umeral > zOdd > zEven > upto_rel > uminus_uminus_real > uminus_uminus_rat > uminus_uminus_int > uminus473333897omplex > twoSqu2000912462sum2sq > twoSqu1425020248sum2sq > times_times_real > times_times_rat > times_times_nat > times_times_int > times_times_complex > times_1655362735umeral > times_123202395de_int > tan > t > suminf_real > suminf_complex > succ > suc > sr > sqrt > size_size_nat > size_size_list_int > size_size_complex > size_s945831648umeral > sin_coeff > sin > sgn_sgn_real > sgn_sgn_rat > sgn_sgn_int > sgn_sgn_complex > sequentially > semiri984289939at_nat > semiri2020571505omplex > semiri1621563631at_int > semiri1619134803umeral > semiri151668891at_rat > semiri1424489471de_int > semiri132038758t_real > sRStar > s1 > s > root > ring_1_of_int_real > ring_1_of_int_rat > ring_1_of_int_int > ring_1_Ints_real > ring_11397209091omplex > real_nat > real_int > re > ratrel > quickcheck_of_int > quickc1265749348ro_rel > quadRes > product_snd_nat_nat > product_snd_int_int > product_fst_nat_nat > product_fst_int_int > product_Pair_nat_nat > product_Pair_int_int > produc883642259nt_int > produc865579683l_real > produc713279741t_bool > produc556554744l_real > produc494345619at_nat > produc282740534nt_int > produc2136830103umeral > produc1935615926l_real > produc1318306967de_int > prime > pred_nat > pred > powr > power_power_real > power_power_rat > power_power_nat > power_power_int > power_power_complex > power_881366806de_int > power_2100829034umeral > posDivAlg_rel > plus_plus_real > plus_plus_rat > plus_plus_nat > plus_plus_int > plus_plus_complex > plus_p1627245867umeral > plus_p1446045655de_int > pls > pi > phi > pair_less > pair_leq > ord_min_nat > ord_max_nat > ord_less_real > ord_less_rat > ord_less_nat > ord_less_int > ord_less_eq_real > ord_less_eq_rat > ord_less_eq_nat > ord_less_eq_int > ord_lessThan_real > ord_lessThan_nat > ord_le951220754t_bool > ord_le565307924umeral > ord_le382113706t_bool > ord_le258702272de_int > ord_le1912455174t_bool > ord_le1860547276de_int > ord_le1568362934t_bool > ord_le1304079648umeral > ord_atMost_nat > one_one_real > one_one_rat > one_one_nat > one_one_int > one_one_complex > one_on1684967323de_int > one_on1645066479umeral > number_number_of_rat > number_number_of_nat > number_number_of_int > number528085621omplex > number267125858f_real > number1443263063umeral > number1226105091de_int > norm_norm_real > norm_norm_complex > norm_frac_rel > norRRset > negateSnd > negDivAlg_rel > nat_size > nat_neg > nat_nat_set > nat_is_nat > nat_gcd_rel > nat_1 > minus_minus_real > minus_minus_rat > minus_minus_nat > minus_minus_int > minus_minus_complex > minus_534354567de_int > minus_1690775515umeral > min > member_real > member_nat > member_int > member_fun_int_bool > member308914164t_bool > member2143287562nt_int > member180897546at_nat > m > ln > lazy_small_lazy_rel > iszero_rat > iszero_int > inverse_inverse_real > inverse_inverse_rat > inverse_divide_real > inverse_divide_rat > invers1449016382omplex > invers1025623611omplex > int_gcd > im > ii > if_real > if_nat > if_int > if_Pro313124157l_real > if_Pro1731782967nt_int > gcd_gcd_nat > gcd_gcd_int > fract > frac > finite_finite_nat > finite_finite_int > finite_card_nat > finite_card_int > finite1876863882t_bool > finite1395289673t_bool > field_1210416355s_real > fequal_real > fequal_rat > fequal_nat > fequal_int > fconj > fact_fact_nat > fact_fact_int > fact > fTrue > fNot > fFalse > fEx_nat > fEx_int > exp_real > even_odd_even_nat > even_odd_even_int > dvd_dvd_real > dvd_dvd_rat > dvd_dvd_nat > dvd_dvd_int > dvd_dvd_complex > dvd_dv1760642554de_int > dvd_dv174992974umeral > div_div_nat > div_div_int > div_di1430059507de_int > div_di1218280263umeral > d22set > cos_coeff > cos > coprime > complex_1 > cnj > cOMBS_real_real_real > cOMBS_real_bool_bool > cOMBS_nat_real_real > cOMBS_nat_rat_rat > cOMBS_nat_nat_nat > cOMBS_nat_bool_bool > cOMBS_int_bool_bool > cOMBS_902912708l_real > cOMBS_794971624l_real > cOMBS_696648398omplex > cOMBS_549334880nt_rat > cOMBS_511527878l_real > cOMBS_480885903t_bool > cOMBS_400904860l_bool > cOMBS_337378985l_real > cOMBS_2019229620nt_int > cOMBS_2011279539nt_int > cOMBS_193881978l_real > cOMBS_1891347093nt_int > cOMBS_1720984575t_bool > cOMBS_1676841879t_bool > cOMBS_1640193733nt_int > cOMBS_163651580l_real > cOMBS_1610675060t_bool > cOMBS_1470252563nt_int > cOMBS_107495110l_real > cOMBI_real > cOMBI_nat > cOMBI_int > cOMBC_real_real_real > cOMBC_real_real_bool > cOMBC_real_nat_real > cOMBC_nat_real_real > cOMBC_nat_nat_nat > cOMBC_nat_nat_bool > cOMBC_nat_int_int > cOMBC_int_real_bool > cOMBC_int_rat_bool > cOMBC_int_nat_int > cOMBC_int_int_int > cOMBC_int_int_bool > cOMBC_983868720t_bool > cOMBC_94739984l_bool > cOMBC_824100275t_real > cOMBC_746811033l_real > cOMBC_736024425nt_int > cOMBC_707974837nt_int > cOMBC_678732631t_bool > cOMBC_467724138l_real > cOMBC_412863505t_bool > cOMBC_33652895t_bool > cOMBC_295337211t_real > cOMBC_243356514t_bool > cOMBC_241247961t_bool > cOMBC_226598744l_bool > cOMBC_2037038898nt_int > cOMBC_2010481033l_real > cOMBC_1964283556nt_int > cOMBC_1805044090nt_int > cOMBC_1801450329t_bool > cOMBC_1683390479t_bool > cOMBC_1508019322l_real > cOMBC_1417754532nt_int > cOMBC_1329014627t_real > cOMBC_1113900202t_bool > cOMBB_real_real_real > cOMBB_real_real_nat > cOMBB_real_real_int > cOMBB_real_bool_real > cOMBB_real_bool_nat > cOMBB_real_bool_int > cOMBB_rat_rat_nat > cOMBB_rat_bool_int > cOMBB_nat_real_nat > cOMBB_nat_nat_nat > cOMBB_nat_bool_int > cOMBB_int_real_int > cOMBB_int_rat_int > cOMBB_int_int_nat > cOMBB_int_int_int > cOMBB_int_bool_nat > cOMBB_int_bool_int > cOMBB_bool_bool_nat > cOMBB_bool_bool_int > cOMBB_984071017l_real > cOMBB_963856155at_nat > cOMBB_95956018ol_int > cOMBB_929094628al_int > cOMBB_882763271l_real > cOMBB_866192175nt_int > cOMBB_859312247nt_nat > cOMBB_800536526ol_nat > cOMBB_798864284nt_int > cOMBB_793166024ol_int > cOMBB_782625832nt_int > cOMBB_773384995nt_int > cOMBB_735549356nt_int > cOMBB_731595089l_real > cOMBB_722610049al_nat > cOMBB_690122963l_real > cOMBB_662120866nt_int > cOMBB_650041899nt_int > cOMBB_64450052al_nat > cOMBB_638531587nt_int > cOMBB_624415285l_real > cOMBB_599996122l_real > cOMBB_595786433nt_int > cOMBB_591320580ol_int > cOMBB_569260360nt_int > cOMBB_563965291nt_int > cOMBB_562416518ol_int > cOMBB_557258983l_real > cOMBB_550562460ol_int > cOMBB_520243667l_real > cOMBB_47643171nt_int > cOMBB_44084907l_real > cOMBB_430461877l_real > cOMBB_422423973l_real > cOMBB_421479067l_real > cOMBB_421464275l_real > cOMBB_415306361l_real > cOMBB_389152643ol_int > cOMBB_3698607l_real > cOMBB_348438404at_nat > cOMBB_320287386nt_int > cOMBB_270132509l_real > cOMBB_237479429l_real > cOMBB_222539774nt_int > cOMBB_214503962ol_int > cOMBB_2138578194l_real > cOMBB_2129825580al_int > cOMBB_2125215742l_real > cOMBB_2107848501l_real > cOMBB_2092576745l_real > cOMBB_2087181719ol_int > cOMBB_2086486755nt_int > cOMBB_2050079537l_real > cOMBB_2046938128ol_int > cOMBB_2027861294ol_int > cOMBB_1948233853l_real > cOMBB_1946221070al_int > cOMBB_1934313333l_real > cOMBB_1926947at_nat > cOMBB_1896127834l_real > cOMBB_188663909l_real > cOMBB_1875755114nt_int > cOMBB_1846624359nt_int > cOMBB_182850971nt_int > cOMBB_1795223523l_real > cOMBB_1768400739l_real > cOMBB_172850899l_real > cOMBB_1714920583ex_nat > cOMBB_170828966nt_int > cOMBB_1657320178nt_int > cOMBB_1652995168ol_int > cOMBB_1647910634ol_int > cOMBB_1593174431ol_int > cOMBB_1550063917nt_int > cOMBB_1533963633al_nat > cOMBB_1506897658nt_int > cOMBB_1496585939nt_int > cOMBB_1484610687nt_int > cOMBB_1480366270al_nat > cOMBB_1459832681l_real > cOMBB_1453147152l_real > cOMBB_1419615765al_nat > cOMBB_1418110531ol_int > cOMBB_1389251822nt_int > cOMBB_1344650379nt_int > cOMBB_1317819104ol_int > cOMBB_1308947378al_nat > cOMBB_1290694363ol_int > cOMBB_1247074793l_real > cOMBB_1211207212ol_int > cOMBB_118231410ol_int > cOMBB_117013006ex_nat > cOMBB_1159313332l_real > cOMBB_1146692694ol_nat > cOMBB_1121934354l_real > cOMBB_1102189010nt_int > cOMBB_1015721476ol_nat > bit1 > bit0 > big_co604158596t_real > big_co387207925at_nat > big_co230513141nt_int > big_co1758102091ol_nat > big_co1024481617at_int > arctan > arcsin > arccos > abs_abs_real > abs_abs_rat > abs_abs_int > #skF_217 > #skF_6 > #skF_551 > #skF_88 > #skF_392 > #skF_324 > #skF_357 > #skF_401 > #skF_488 > #skF_104 > #skF_278 > #skF_212 > #skF_210 > #skF_211 > #skF_318 > #skF_198 > #skF_126 > #skF_428 > #skF_113 > #skF_395 > #skF_466 > #skF_378 > #skF_441 > #skF_424 > #skF_380 > #skF_7 > #skF_111 > #skF_84 > #skF_511 > #skF_155 > #skF_336 > #skF_527 > #skF_190 > #skF_296 > #skF_188 > #skF_69 > #skF_281 > #skF_146 > #skF_397 > #skF_479 > #skF_43 > #skF_445 > #skF_426 > #skF_109 > #skF_361 > #skF_182 > #skF_323 > #skF_67 > #skF_97 > #skF_557 > #skF_522 > #skF_524 > #skF_70 > #skF_11 > #skF_191 > #skF_544 > #skF_534 > #skF_537 > #skF_234 > #skF_465 > #skF_255 > #skF_513 > #skF_402 > #skF_102 > #skF_416 > #skF_539 > #skF_377 > #skF_371 > #skF_443 > #skF_194 > #skF_253 > #skF_505 > #skF_381 > #skF_446 > #skF_110 > #skF_28 > #skF_263 > #skF_99 > #skF_373 > #skF_177 > #skF_156 > #skF_538 > #skF_393 > #skF_196 > #skF_36 > #skF_383 > #skF_327 > #skF_499 > #skF_57 > #skF_531 > #skF_369 > #skF_329 > #skF_80 > #skF_226 > #skF_447 > #skF_540 > #skF_535 > #skF_498 > #skF_289 > #skF_482 > #skF_120 > #skF_96 > #skF_442 > #skF_118 > #skF_414 > #skF_121 > #skF_205 > #skF_192 > #skF_25 > #skF_44 > #skF_19 > #skF_311 > #skF_454 > #skF_224 > #skF_237 > #skF_370 > #skF_472 > #skF_149 > #skF_495 > #skF_50 > #skF_520 > #skF_187 > #skF_147 > #skF_171 > #skF_449 > #skF_136 > #skF_250 > #skF_362 > #skF_123 > #skF_218 > #skF_399 > #skF_186 > #skF_201 > #skF_353 > #skF_17 > #skF_86 > #skF_270 > #skF_144 > #skF_366 > #skF_31 > #skF_453 > #skF_501 > #skF_143 > #skF_185 > #skF_195 > #skF_153 > #skF_519 > #skF_299 > #skF_89 > #skF_179 > #skF_452 > #skF_42 > #skF_79 > #skF_130 > #skF_254 > #skF_347 > #skF_180 > #skF_272 > #skF_470 > #skF_3 > #skF_407 > #skF_440 > #skF_459 > #skF_489 > #skF_239 > #skF_138 > #skF_236 > #skF_116 > #skF_512 > #skF_283 > #skF_483 > #skF_105 > #skF_214 > #skF_1 > #skF_338 > #skF_301 > #skF_545 > #skF_340 > #skF_471 > #skF_518 > #skF_379 > #skF_451 > #skF_48 > #skF_354 > #skF_258 > #skF_406 > #skF_376 > #skF_548 > #skF_128 > #skF_227 > #skF_506 > #skF_117 > #skF_493 > #skF_9 > #skF_405 > #skF_358 > #skF_235 > #skF_261 > #skF_352 > #skF_5 > #skF_450 > #skF_71 > #skF_533 > #skF_417 > #skF_248 > #skF_271 > #skF_425 > #skF_514 > #skF_98 > #skF_181 > #skF_206 > #skF_491 > #skF_547 > #skF_335 > #skF_334 > #skF_474 > #skF_434 > #skF_115 > #skF_162 > #skF_66 > #skF_108 > #skF_326 > #skF_174 > #skF_39 > #skF_14 > #skF_18 > #skF_285 > #skF_252 > #skF_95 > #skF_260 > #skF_464 > #skF_228 > #skF_83 > #skF_502 > #skF_307 > #skF_264 > #skF_492 > #skF_330 > #skF_175 > #skF_532 > #skF_16 > #skF_238 > #skF_92 > #skF_487 > #skF_374 > #skF_183 > #skF_53 > #skF_536 > #skF_552 > #skF_478 > #skF_114 > #skF_351 > #skF_76 > #skF_302 > #skF_313 > #skF_267 > #skF_462 > #skF_367 > #skF_72 > #skF_178 > #skF_542 > #skF_350 > #skF_455 > #skF_458 > #skF_550 > #skF_475 > #skF_230 > #skF_312 > #skF_213 > #skF_208 > #skF_61 > #skF_23 > #skF_40 > #skF_543 > #skF_145 > #skF_133 > #skF_411 > #skF_200 > #skF_356 > #skF_280 > #skF_314 > #skF_541 > #skF_309 > #skF_427 > #skF_29 > #skF_461 > #skF_444 > #skF_308 > #skF_10 > #skF_348 > #skF_286 > #skF_262 > #skF_154 > #skF_38 > #skF_303 > #skF_82 > #skF_410 > #skF_500 > #skF_346 > #skF_529 > #skF_325 > #skF_166 > #skF_554 > #skF_122 > #skF_65 > #skF_41 > #skF_279 > #skF_22 > #skF_517 > #skF_460 > #skF_68 > #skF_297 > #skF_2 > #skF_151 > #skF_161 > #skF_398 > #skF_310 > #skF_508 > #skF_396 > #skF_244 > #skF_497 > #skF_389 > #skF_199 > #skF_24 > #skF_197 > #skF_292 > #skF_112 > #skF_382 > #skF_265 > #skF_107 > #skF_273 > #skF_294 > #skF_375 > #skF_189 > #skF_385 > #skF_342 > #skF_345 > #skF_78 > #skF_509 > #skF_170 > #skF_422 > #skF_52 > #skF_359 > #skF_504 > #skF_58 > #skF_35 > #skF_231 > #skF_54 > #skF_438 > #skF_169 > #skF_246 > #skF_387 > #skF_494 > #skF_225 > #skF_490 > #skF_332 > #skF_476 > #skF_165 > #skF_337 > #skF_139 > #skF_27 > #skF_55 > #skF_85 > #skF_432 > #skF_124 > #skF_553 > #skF_268 > #skF_148 > #skF_74 > #skF_435 > #skF_288 > #skF_300 > #skF_484 > #skF_77 > #skF_219 > #skF_216 > #skF_125 > #skF_368 > #skF_4 > #skF_62 > #skF_33 > #skF_510 > #skF_220 > #skF_63 > #skF_204 > #skF_467 > #skF_418 > #skF_481 > #skF_419 > #skF_12 > #skF_135 > #skF_331 > #skF_193 > #skF_259 > #skF_167 > #skF_515 > #skF_87 > #skF_222 > #skF_176 > #skF_26 > #skF_349 > #skF_223 > #skF_90 > #skF_364 > #skF_523 > #skF_215 > #skF_321 > #skF_203 > #skF_158 > #skF_13 > #skF_400 > #skF_412 > #skF_549 > #skF_103 > #skF_209 > #skF_75 > #skF_388 > #skF_276 > #skF_59 > #skF_363 > #skF_101 > #skF_394 > #skF_20 > #skF_256 > #skF_163 > #skF_152 > #skF_456 > #skF_282 > #skF_100 > #skF_429 > #skF_457 > #skF_343 > #skF_290 > #skF_287 > #skF_60 > #skF_127 > #skF_160 > #skF_291 > #skF_341 > #skF_159 > #skF_298 > #skF_232 > #skF_328 > #skF_525 > #skF_463 > #skF_229 > #skF_47 > #skF_81 > #skF_64 > #skF_51 > #skF_546 > #skF_73 > #skF_316 > #skF_355 > #skF_240 > #skF_233 > #skF_8 > #skF_526 > #skF_322 > #skF_129 > #skF_391 > #skF_333 > #skF_420 > #skF_485 > #skF_496 > #skF_320 > #skF_521 > #skF_247 > #skF_433 > #skF_134 > #skF_386 > #skF_221 > #skF_555 > #skF_293 > #skF_319 > #skF_21 > #skF_315 > #skF_241 > #skF_530 > #skF_207 > #skF_274 > #skF_141 > #skF_184 > #skF_437 > #skF_157 > #skF_431 > #skF_106 > #skF_266 > #skF_275 > #skF_15 > #skF_339 > #skF_404 > #skF_413 > #skF_421 > #skF_516 > #skF_245 > #skF_172 > #skF_528 > #skF_436 > #skF_503 > #skF_257 > #skF_249 > #skF_173 > #skF_119 > #skF_360 > #skF_94 > #skF_34 > #skF_164 > #skF_277 > #skF_45 > #skF_137 > #skF_150 > #skF_269 > #skF_91 > #skF_507 > #skF_390 > #skF_477 > #skF_473 > #skF_403 > #skF_251 > #skF_30 > #skF_32 > #skF_317 > #skF_469 > #skF_49 > #skF_132 > #skF_142 > #skF_56 > #skF_242 > #skF_304 > #skF_243 > #skF_305 > #skF_344 > #skF_439 > #skF_93 > #skF_408 > #skF_556 > #skF_202 > #skF_295 > #skF_480 > #skF_306 > #skF_486 > #skF_168 > #skF_384 > #skF_140 > #skF_430 > #skF_448 > #skF_37 > #skF_372 > #skF_365 > #skF_46 > #skF_131 > #skF_409 > #skF_284 > #skF_423 > #skF_415 > #skF_468

%Foreground sorts:
tff(fun_re1761459671l_real,type,
    fun_re1761459671l_real: $tType ).

tff(fun_fu1362233248t_real,type,
    fun_fu1362233248t_real: $tType ).

tff(fun_fu1210427133nt_int,type,
    fun_fu1210427133nt_int: $tType ).

tff(fun_Co116562173al_nat,type,
    fun_Co116562173al_nat: $tType ).

tff(fun_complex_nat,type,
    fun_complex_nat: $tType ).

tff(fun_re546217968t_bool,type,
    fun_re546217968t_bool: $tType ).

tff(fun_fu2134752009ol_int,type,
    fun_fu2134752009ol_int: $tType ).

tff(fun_fu694788213t_bool,type,
    fun_fu694788213t_bool: $tType ).

tff(fun_fu2079587053l_real,type,
    fun_fu2079587053l_real: $tType ).

tff(fun_fu1151120955nt_int,type,
    fun_fu1151120955nt_int: $tType ).

tff(fun_fu821463397t_bool,type,
    fun_fu821463397t_bool: $tType ).

tff(fun_fu2107306267l_bool,type,
    fun_fu2107306267l_bool: $tType ).

tff(fun_real_complex,type,
    fun_real_complex: $tType ).

tff(fun_fu30999661nt_int,type,
    fun_fu30999661nt_int: $tType ).

tff(fun_re811280567t_bool,type,
    fun_re811280567t_bool: $tType ).

tff(fun_fu1660428975nt_int,type,
    fun_fu1660428975nt_int: $tType ).

tff(fun_int_bool,type,
    fun_int_bool: $tType ).

tff(fun_fu2064567419t_real,type,
    fun_fu2064567419t_real: $tType ).

tff(fun_fu326650760t_bool,type,
    fun_fu326650760t_bool: $tType ).

tff(fun_Pr1254492423t_bool,type,
    fun_Pr1254492423t_bool: $tType ).

tff(fun_int_fun_rat_bool,type,
    fun_int_fun_rat_bool: $tType ).

tff(filter_nat,type,
    filter_nat: $tType ).

tff(fun_fu474013181at_rat,type,
    fun_fu474013181at_rat: $tType ).

tff(fun_fu1585362869l_bool,type,
    fun_fu1585362869l_bool: $tType ).

tff(fun_in1251377736l_bool,type,
    fun_in1251377736l_bool: $tType ).

tff(fun_fu1315898487t_real,type,
    fun_fu1315898487t_real: $tType ).

tff(produc1322466333at_nat,type,
    produc1322466333at_nat: $tType ).

tff(fun_fu1671602619t_bool,type,
    fun_fu1671602619t_bool: $tType ).

tff(fun_fu143300987nt_int,type,
    fun_fu143300987nt_int: $tType ).

tff(fun_fu459852413l_real,type,
    fun_fu459852413l_real: $tType ).

tff(fun_fu2064863920at_nat,type,
    fun_fu2064863920at_nat: $tType ).

tff(fun_fu1995066539t_bool,type,
    fun_fu1995066539t_bool: $tType ).

tff(fun_fu45718637l_real,type,
    fun_fu45718637l_real: $tType ).

tff(fun_fu442799956nt_int,type,
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tff(fun_fu731020837nt_int,type,
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tff(fun_fu1733046955t_bool,type,
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tff(fun_fu1232717117omplex,type,
    fun_fu1232717117omplex: $tType ).

tff(fun_fu402939139omplex,type,
    fun_fu402939139omplex: $tType ).

tff(fun_fu1504258989nt_int,type,
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tff(fun_Co536835517umeral,type,
    fun_Co536835517umeral: $tType ).

tff(fun_re573205052t_real,type,
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tff(fun_fu1913390252omplex,type,
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tff(fun_fu1670435187t_bool,type,
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tff(fun_fu1389550933t_bool,type,
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tff(fun_fu256365437nt_int,type,
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tff(fun_Pr1826394355nt_rat,type,
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tff(fun_fu2145628351l_bool,type,
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tff(fun_fu1415391623t_bool,type,
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tff(fun_fu100404029nt_int,type,
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tff(fun_int_fun_int_bool,type,
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tff(fun_fu497932381t_bool,type,
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tff(fun_fu1887272509at_int,type,
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tff(fun_fu192063275l_bool,type,
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tff(fun_fu663780939t_bool,type,
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tff(produc1450482951t_bool,type,
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tff(fun_fu1320545917t_bool,type,
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tff(fun_nat_fun_nat_nat,type,
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tff(produc914805421l_real,type,
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tff(fun_fu1842467588t_bool,type,
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tff(fun_fu791988693l_bool,type,
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tff(fun_fu1720497139nt_int,type,
    fun_fu1720497139nt_int: $tType ).

tff(fun_fu2027257463l_real,type,
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tff(fun_fu1177681869l_real,type,
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tff(fun_in1505040589de_int,type,
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tff(fun_int_fun_nat_bool,type,
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tff(fun_bo1071572548at_nat,type,
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tff(fun_fu805285123l_bool,type,
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tff(fun_Qu78318390de_int,type,
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tff(fun_fu1569755401t_real,type,
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tff(fun_Pr1858073897at_nat,type,
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tff(fun_fu1594210934nt_int,type,
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tff(fun_fu987960615l_bool,type,
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tff(fun_fu521937661omplex,type,
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tff(fun_fu1898336267l_bool,type,
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tff(fun_Pr1434736532at_nat,type,
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tff(fun_fu579242521t_bool,type,
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tff(fun_re229243589l_real,type,
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tff(fun_fu1122561126l_real,type,
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tff(fun_re507499238t_bool,type,
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tff(fun_rat_fun_int_bool,type,
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tff(fun_fu266677575t_bool,type,
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tff(fun_na1469252690l_bool,type,
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tff(real,type,
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tff(fun_fu1930053706omplex,type,
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tff(fun_fu385122018l_real,type,
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tff(fun_Pr29212713nt_int,type,
    fun_Pr29212713nt_int: $tType ).

tff(fun_Pr1020157655l_bool,type,
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tff(fun_fu1107106820t_bool,type,
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tff(fun_fu1564476029l_real,type,
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tff(fun_Pr1375198143l_real,type,
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tff(fun_fu179687707nt_int,type,
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tff(fun_re413263731l_bool,type,
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tff(fun_rat_fun_rat_rat,type,
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tff(fun_fu976112124nt_int,type,
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tff(fun_in989261322nt_int,type,
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tff(fun_fu1080573915nt_int,type,
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tff(fun_fu1275190971t_real,type,
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tff(fun_re1114994977l_bool,type,
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tff(fun_fu393805435t_bool,type,
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tff(fun_fu1254259254l_real,type,
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tff(fun_bool_bool,type,
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tff(fun_fu380257692t_bool,type,
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tff(product_prod_nat_nat,type,
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tff(fun_fu1258735291t_bool,type,
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tff(fun_fu920514766t_bool,type,
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tff(fun_Pr755126262t_bool,type,
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tff(fun_in2003698982nt_int,type,
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tff(fun_Pr1071803827at_nat,type,
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tff(fun_in2124216673nt_int,type,
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tff(fun_fu1186790897nt_rat,type,
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tff(fun_fu1212385221t_bool,type,
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tff(fun_fu1073653253nt_int,type,
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tff(fun_fu209750539l_real,type,
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tff(fun_Qu1439435760de_int,type,
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tff(fun_fu1574854795l_real,type,
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tff(fun_fu1140645055l_real,type,
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tff(fun_rat_fun_rat_bool,type,
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tff(fun_fu2028862895l_real,type,
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tff(fun_fu936814653nt_int,type,
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tff(fun_fu2120820641l_real,type,
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tff(fun_fu2131001617t_bool,type,
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tff(fun_fu93779013l_real,type,
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tff(fun_in1797533524nt_int,type,
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tff(fun_re1091407545t_bool,type,
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tff(filter_real,type,
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tff(fun_fu941266250at_rat,type,
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tff(fun_fu215647537t_bool,type,
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tff(fun_int_fun_nat_int,type,
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tff(fun_Pr313471731t_bool,type,
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tff(fun_Pr1024438428nt_rat,type,
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tff(fun_fu693994524nt_int,type,
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tff(fun_fu1989863883t_bool,type,
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tff(fun_in319042876t_bool,type,
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tff(fun_bo1998411783l_real,type,
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tff(fun_Pr1669804459l_bool,type,
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tff(fun_real_real,type,
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tff(fun_re506364222t_bool,type,
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tff(fun_in351380826t_bool,type,
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tff(fun_Pr1927655017t_bool,type,
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tff(fun_fu1719442527t_real,type,
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tff(fun_nat_bool,type,
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tff(fun_in464278240t_real,type,
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tff(fun_fu1131392967t_bool,type,
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tff(fun_na1745536976l_real,type,
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tff(fun_fu1972234819l_real,type,
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tff(fun_in1111845413nt_int,type,
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tff(fun_bo1189210245l_real,type,
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tff(fun_fu480930797l_real,type,
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tff(fun_fu2032273339t_bool,type,
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tff(fun_fu1091783237l_real,type,
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tff(fun_fu513207213t_real,type,
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tff(fun_int_int,type,
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tff(fun_Qu64793220de_int,type,
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tff(fun_fu1111569329nt_int,type,
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tff(fun_fu790805891l_bool,type,
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tff(fun_fu1374874789t_bool,type,
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tff(fun_fu386022295l_bool,type,
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tff(fun_fu658053629l_real,type,
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tff(fun_fu1635948867t_bool,type,
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tff(fun_fu887818731l_real,type,
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tff(fun_fu1086065329nt_int,type,
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tff(fun_in1211676399nt_int,type,
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tff(fun_in1022115617umeral,type,
    fun_in1022115617umeral: $tType ).

tff(fun_fu1340701053nt_int,type,
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tff(fun_fu1541392415t_bool,type,
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tff(fun_fu461997905nt_int,type,
    fun_fu461997905nt_int: $tType ).

tff(fun_fu1530049726t_bool,type,
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tff(fun_fu2104383023nt_int,type,
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tff(fun_fu1861895035t_bool,type,
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tff(fun_fu1480724285nt_int,type,
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tff(fun_re1979725814t_bool,type,
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tff(fun_fu1382375754at_nat,type,
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tff(fun_fu915505700nt_int,type,
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tff(fun_fu610077323l_bool,type,
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tff(fun_Pr1076553414nt_int,type,
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tff(fun_fu22111091t_bool,type,
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tff(fun_fu539349981l_bool,type,
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tff(fun_in2078400507nt_int,type,
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tff(fun_fu1814991441ol_int,type,
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tff(fun_Pr2134412615nt_int,type,
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tff(fun_fu1138019779t_real,type,
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tff(fun_fu1229655383t_bool,type,
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tff(fun_fu1521692625nt_int,type,
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tff(fun_fu2018039801t_bool,type,
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tff(fun_fu1217155507l_bool,type,
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tff(fun_fu1697185671l_real,type,
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tff(fun_Co991465098umeral,type,
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tff(fun_fu368769085at_int,type,
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tff(fun_re1879328022l_real,type,
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tff(fun_fu2054751691l_bool,type,
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tff(fun_fu1335490071t_real,type,
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tff(fun_Co1323339824umeral,type,
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tff(fun_fu1151772339l_bool,type,
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tff(fun_fu2062813463t_bool,type,
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tff(fun_fu202598805at_nat,type,
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tff(fun_fu1197312126t_bool,type,
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tff(fun_fu1494809157nt_int,type,
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tff(fun_Pr4007113l_bool,type,
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tff(fun_fu1596546331t_real,type,
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tff(fun_fu508603688t_real,type,
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tff(fun_fu1409241085nt_int,type,
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tff(fun_fu454443562t_bool,type,
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tff(fun_fu1119133205t_bool,type,
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tff(fun_fu383125559l_real,type,
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tff(fun_Qu812286141de_int,type,
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tff(fun_fu970548443l_bool,type,
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tff(fun_fu1202355157l_bool,type,
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tff(fun_fu371616507nt_int,type,
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tff(fun_fu1716408315t_bool,type,
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tff(fun_fu247819600t_real,type,
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tff(fun_fu554825757t_bool,type,
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tff(fun_Pr1283822147l_real,type,
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tff(fun_fu429916689t_bool,type,
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tff(fun_bo1947501544nt_int,type,
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tff(fun_fu1032682793nt_rat,type,
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tff(fun_fu859852125l_real,type,
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tff(fun_fu1943305629l_real,type,
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tff(fun_re2063775123t_bool,type,
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tff(fun_fu1017341406t_bool,type,
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tff(fun_fu425979586l_bool,type,
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tff(fun_fu1735231789l_real,type,
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tff(fun_fu1269744292t_bool,type,
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tff(fun_fu1929568823l_bool,type,
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tff(fun_fu463555643l_real,type,
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tff(fun_fu2042306533t_real,type,
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tff(fun_fu1617913499l_real,type,
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tff(fun_fu10424993t_bool,type,
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tff(fun_fu513399869at_rat,type,
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tff(fun_re665330775l_real,type,
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tff(fun_fu2100483183t_bool,type,
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tff(fun_fu401420093nt_int,type,
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tff(fun_int_complex,type,
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tff(fun_fu2022215021l_real,type,
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tff(fun_re1191071736l_real,type,
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tff(fun_fu687803393t_bool,type,
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tff(fun_fu1414645928at_rat,type,
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tff(fun_rat_fun_nat_rat,type,
    fun_rat_fun_nat_rat: $tType ).

tff(fun_fu55588037nt_rat,type,
    fun_fu55588037nt_rat: $tType ).

tff(fun_re521366895t_bool,type,
    fun_re521366895t_bool: $tType ).

tff(fun_fu1558043364t_bool,type,
    fun_fu1558043364t_bool: $tType ).

tff(fun_fu1814137539t_bool,type,
    fun_fu1814137539t_bool: $tType ).

tff(fun_fu1790089701t_real,type,
    fun_fu1790089701t_real: $tType ).

tff(fun_Qu1069098747t_bool,type,
    fun_Qu1069098747t_bool: $tType ).

tff(fun_Pr820506994t_bool,type,
    fun_Pr820506994t_bool: $tType ).

tff(fun_nat_complex,type,
    fun_nat_complex: $tType ).

tff(fun_fu146728557t_bool,type,
    fun_fu146728557t_bool: $tType ).

tff(fun_re1171866993t_bool,type,
    fun_re1171866993t_bool: $tType ).

tff(fun_fu1589711101l_real,type,
    fun_fu1589711101l_real: $tType ).

tff(fun_fu1496793882l_real,type,
    fun_fu1496793882l_real: $tType ).

tff(fun_fu1799328765at_nat,type,
    fun_fu1799328765at_nat: $tType ).

tff(fun_Pr974702441t_bool,type,
    fun_Pr974702441t_bool: $tType ).

tff(fun_fu1716108231l_real,type,
    fun_fu1716108231l_real: $tType ).

tff(fun_re923322561l_real,type,
    fun_re923322561l_real: $tType ).

tff(fun_fu1523905537l_real,type,
    fun_fu1523905537l_real: $tType ).

tff(fun_fu586093159l_bool,type,
    fun_fu586093159l_bool: $tType ).

tff(fun_complex_real,type,
    fun_complex_real: $tType ).

tff(fun_fu1721998267ol_nat,type,
    fun_fu1721998267ol_nat: $tType ).

tff(fun_fu727999887t_bool,type,
    fun_fu727999887t_bool: $tType ).

tff(fun_Pr2144253564nt_int,type,
    fun_Pr2144253564nt_int: $tType ).

tff(fun_in719570932t_bool,type,
    fun_in719570932t_bool: $tType ).

tff(fun_fu990052945ol_nat,type,
    fun_fu990052945ol_nat: $tType ).

tff(fun_fu1988342983t_bool,type,
    fun_fu1988342983t_bool: $tType ).

tff(fun_fu1074458747l_real,type,
    fun_fu1074458747l_real: $tType ).

tff(fun_nat_fun_rat_rat,type,
    fun_nat_fun_rat_rat: $tType ).

tff(fun_fu778540235l_real,type,
    fun_fu778540235l_real: $tType ).

tff(fun_fu647765353l_real,type,
    fun_fu647765353l_real: $tType ).

tff(fun_re785671361l_real,type,
    fun_re785671361l_real: $tType ).

tff(fun_fu692064392t_real,type,
    fun_fu692064392t_real: $tType ).

tff(fun_fu1902143432t_bool,type,
    fun_fu1902143432t_bool: $tType ).

tff(fun_fu1709962923l_bool,type,
    fun_fu1709962923l_bool: $tType ).

tff(fun_re1865242107l_bool,type,
    fun_re1865242107l_bool: $tType ).

tff(fun_fu705349683l_real,type,
    fun_fu705349683l_real: $tType ).

tff(fun_fu1290768832t_bool,type,
    fun_fu1290768832t_bool: $tType ).

tff(fun_fu156492935nt_int,type,
    fun_fu156492935nt_int: $tType ).

tff(nat,type,
    nat: $tType ).

tff(fun_fu739403697t_real,type,
    fun_fu739403697t_real: $tType ).

tff(fun_fu80187629t_bool,type,
    fun_fu80187629t_bool: $tType ).

tff(fun_fu916648827t_bool,type,
    fun_fu916648827t_bool: $tType ).

tff(fun_fu692492093t_real,type,
    fun_fu692492093t_real: $tType ).

tff(fun_fun_int_bool_int,type,
    fun_fun_int_bool_int: $tType ).

tff(fun_fu1466819147l_real,type,
    fun_fu1466819147l_real: $tType ).

tff(fun_fu1257888773t_bool,type,
    fun_fu1257888773t_bool: $tType ).

tff(fun_fu1887196079nt_rat,type,
    fun_fu1887196079nt_rat: $tType ).

tff(fun_rat_bool,type,
    fun_rat_bool: $tType ).

tff(fun_fu1613343649l_real,type,
    fun_fu1613343649l_real: $tType ).

tff(fun_fu1853665082omplex,type,
    fun_fu1853665082omplex: $tType ).

tff(fun_fu2096040829at_rat,type,
    fun_fu2096040829at_rat: $tType ).

tff(fun_fu393795110t_real,type,
    fun_fu393795110t_real: $tType ).

tff(fun_fun_int_bool_nat,type,
    fun_fun_int_bool_nat: $tType ).

tff(fun_fu317217725t_real,type,
    fun_fu317217725t_real: $tType ).

tff(fun_fu1574148012nt_int,type,
    fun_fu1574148012nt_int: $tType ).

tff(fun_fu860601347t_real,type,
    fun_fu860601347t_real: $tType ).

tff(fun_fu2112913523t_bool,type,
    fun_fu2112913523t_bool: $tType ).

tff(fun_fu1882383245l_bool,type,
    fun_fu1882383245l_bool: $tType ).

tff(fun_fu1857222709nt_int,type,
    fun_fu1857222709nt_int: $tType ).

tff(fun_Pr1238001172nt_int,type,
    fun_Pr1238001172nt_int: $tType ).

tff(fun_fu1280007140nt_int,type,
    fun_fu1280007140nt_int: $tType ).

tff(fun_nat_fun_nat_bool,type,
    fun_nat_fun_nat_bool: $tType ).

tff(fun_fu349214399l_real,type,
    fun_fu349214399l_real: $tType ).

tff(fun_in531499254l_bool,type,
    fun_in531499254l_bool: $tType ).

tff(fun_fu733030919l_real,type,
    fun_fu733030919l_real: $tType ).

tff(fun_re1227808089l_real,type,
    fun_re1227808089l_real: $tType ).

tff(fun_fu1086719572nt_int,type,
    fun_fu1086719572nt_int: $tType ).

tff(fun_fu1532576183t_bool,type,
    fun_fu1532576183t_bool: $tType ).

tff(fun_fu645688257t_real,type,
    fun_fu645688257t_real: $tType ).

tff(fun_in1390825880t_real,type,
    fun_in1390825880t_real: $tType ).

tff(list_int,type,
    list_int: $tType ).

tff(fun_fu1743247959t_bool,type,
    fun_fu1743247959t_bool: $tType ).

tff(fun_Pr1333588703t_bool,type,
    fun_Pr1333588703t_bool: $tType ).

tff(fun_fu2073566759t_real,type,
    fun_fu2073566759t_real: $tType ).

tff(filter_complex,type,
    filter_complex: $tType ).

tff(fun_int_fun_int_real,type,
    fun_int_fun_int_real: $tType ).

tff(fun_fu305882913t_bool,type,
    fun_fu305882913t_bool: $tType ).

tff(fun_Pr822475479l_bool,type,
    fun_Pr822475479l_bool: $tType ).

tff(fun_re1598305103l_bool,type,
    fun_re1598305103l_bool: $tType ).

tff(fun_fu1379407829nt_int,type,
    fun_fu1379407829nt_int: $tType ).

tff(fun_Pr241715507nt_int,type,
    fun_Pr241715507nt_int: $tType ).

tff(fun_fu2112443261t_bool,type,
    fun_fu2112443261t_bool: $tType ).

tff(fun_fu600511107t_real,type,
    fun_fu600511107t_real: $tType ).

tff(product_prod_int_int,type,
    product_prod_int_int: $tType ).

tff(fun_fu2037535261t_bool,type,
    fun_fu2037535261t_bool: $tType ).

tff(bool,type,
    bool: $tType ).

tff(fun_in938817141l_bool,type,
    fun_in938817141l_bool: $tType ).

tff(fun_Pr642042703nt_int,type,
    fun_Pr642042703nt_int: $tType ).

tff(fun_in941977532nt_int,type,
    fun_in941977532nt_int: $tType ).

tff(fun_fu416675807l_bool,type,
    fun_fu416675807l_bool: $tType ).

tff(produc1359518119umeral,type,
    produc1359518119umeral: $tType ).

tff(fun_in397122125l_bool,type,
    fun_in397122125l_bool: $tType ).

tff(fun_fu1562258007l_bool,type,
    fun_fu1562258007l_bool: $tType ).

tff(fun_fu1221449756t_bool,type,
    fun_fu1221449756t_bool: $tType ).

tff(fun_fu428587005nt_int,type,
    fun_fu428587005nt_int: $tType ).

tff(fun_list_int_nat,type,
    fun_list_int_nat: $tType ).

tff(fun_fu592252421nt_int,type,
    fun_fu592252421nt_int: $tType ).

tff(fun_fu751079485nt_int,type,
    fun_fu751079485nt_int: $tType ).

tff(fun_na257798253at_nat,type,
    fun_na257798253at_nat: $tType ).

tff(fun_fu1524626405t_bool,type,
    fun_fu1524626405t_bool: $tType ).

tff(fun_fu1074651901nt_int,type,
    fun_fu1074651901nt_int: $tType ).

tff(fun_int_fun_nat_real,type,
    fun_int_fun_nat_real: $tType ).

tff(fun_fu407119589t_bool,type,
    fun_fu407119589t_bool: $tType ).

tff(fun_Pr480351984nt_int,type,
    fun_Pr480351984nt_int: $tType ).

tff(fun_complex_bool,type,
    fun_complex_bool: $tType ).

tff(fun_fu587508068t_bool,type,
    fun_fu587508068t_bool: $tType ).

tff(fun_re1550493891l_real,type,
    fun_re1550493891l_real: $tType ).

tff(fun_fu1175943503t_bool,type,
    fun_fu1175943503t_bool: $tType ).

tff(fun_int_rat,type,
    fun_int_rat: $tType ).

tff(fun_fu221716676omplex,type,
    fun_fu221716676omplex: $tType ).

tff(fun_fu104040328t_bool,type,
    fun_fu104040328t_bool: $tType ).

tff(fun_fu1429059939l_bool,type,
    fun_fu1429059939l_bool: $tType ).

tff(fun_fu223014715l_bool,type,
    fun_fu223014715l_bool: $tType ).

tff(fun_fu59052337t_real,type,
    fun_fu59052337t_real: $tType ).

tff(fun_fu150535243t_bool,type,
    fun_fu150535243t_bool: $tType ).

tff(fun_real_bool,type,
    fun_real_bool: $tType ).

tff(fun_fu1904575089t_bool,type,
    fun_fu1904575089t_bool: $tType ).

tff(fun_fu1359497956t_bool,type,
    fun_fu1359497956t_bool: $tType ).

tff(fun_fu1656153920t_real,type,
    fun_fu1656153920t_real: $tType ).

tff(produc167071911de_int,type,
    produc167071911de_int: $tType ).

tff(fun_fu1179887677at_nat,type,
    fun_fu1179887677at_nat: $tType ).

tff(fun_fu608458793t_bool,type,
    fun_fu608458793t_bool: $tType ).

tff(fun_fu1570293243nt_int,type,
    fun_fu1570293243nt_int: $tType ).

tff(fun_in865885604nt_int,type,
    fun_in865885604nt_int: $tType ).

tff(fun_fu736357967l_bool,type,
    fun_fu736357967l_bool: $tType ).

tff(fun_fu963880199t_bool,type,
    fun_fu963880199t_bool: $tType ).

tff(fun_fu1901564496t_bool,type,
    fun_fu1901564496t_bool: $tType ).

tff(fun_fu1983483971t_real,type,
    fun_fu1983483971t_real: $tType ).

tff(fun_fu1083576549t_bool,type,
    fun_fu1083576549t_bool: $tType ).

tff(fun_na1360402045umeral,type,
    fun_na1360402045umeral: $tType ).

tff(fun_fu1403389123l_real,type,
    fun_fu1403389123l_real: $tType ).

tff(fun_fu1991142839t_bool,type,
    fun_fu1991142839t_bool: $tType ).

tff(fun_na182379510l_real,type,
    fun_na182379510l_real: $tType ).

tff(fun_na196172234at_nat,type,
    fun_na196172234at_nat: $tType ).

tff(fun_fu985846175t_bool,type,
    fun_fu985846175t_bool: $tType ).

tff(fun_bo1552468991nt_int,type,
    fun_bo1552468991nt_int: $tType ).

tff(fun_Pr1580971581nt_int,type,
    fun_Pr1580971581nt_int: $tType ).

tff(fun_fu806471093t_bool,type,
    fun_fu806471093t_bool: $tType ).

tff(fun_fu1940123285t_bool,type,
    fun_fu1940123285t_bool: $tType ).

tff(fun_re1233422975l_real,type,
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tff(fun_fu1634244117l_real,type,
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tff(fun_in792564872nt_int,type,
    fun_in792564872nt_int: $tType ).

tff(fun_fu1004947300nt_int,type,
    fun_fu1004947300nt_int: $tType ).

tff(fun_re1564496555l_bool,type,
    fun_re1564496555l_bool: $tType ).

tff(fun_fu54460722t_bool,type,
    fun_fu54460722t_bool: $tType ).

tff(fun_fu325663101at_nat,type,
    fun_fu325663101at_nat: $tType ).

tff(fun_fu1223580849nt_int,type,
    fun_fu1223580849nt_int: $tType ).

tff(fun_fu1211077835l_real,type,
    fun_fu1211077835l_real: $tType ).

tff(fun_fu1370325315at_nat,type,
    fun_fu1370325315at_nat: $tType ).

tff(fun_int_real,type,
    fun_int_real: $tType ).

tff(fun_re398676606omplex,type,
    fun_re398676606omplex: $tType ).

tff(int,type,
    int: $tType ).

tff(fun_fu1890158468nt_int,type,
    fun_fu1890158468nt_int: $tType ).

tff(fun_nat_nat,type,
    fun_nat_nat: $tType ).

tff(fun_Co1868595440umeral,type,
    fun_Co1868595440umeral: $tType ).

tff(complex,type,
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tff(fun_fu522653757at_nat,type,
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tff(fun_fu424979764l_real,type,
    fun_fu424979764l_real: $tType ).

tff(fun_fu1843361787nt_int,type,
    fun_fu1843361787nt_int: $tType ).

tff(fun_Pr668393395nt_int,type,
    fun_Pr668393395nt_int: $tType ).

tff(fun_fu1620940093t_bool,type,
    fun_fu1620940093t_bool: $tType ).

tff(fun_fu117737819l_real,type,
    fun_fu117737819l_real: $tType ).

tff(fun_fu1859693515t_bool,type,
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tff(fun_fu1206934473t_bool,type,
    fun_fu1206934473t_bool: $tType ).

tff(fun_fu124570627l_bool,type,
    fun_fu124570627l_bool: $tType ).

tff(fun_fu1988341163t_bool,type,
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tff(fun_fu205926450t_bool,type,
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tff(fun_fu1637550549l_bool,type,
    fun_fu1637550549l_bool: $tType ).

tff(fun_Co1372573603l_bool,type,
    fun_Co1372573603l_bool: $tType ).

tff(fun_fu1909738875t_bool,type,
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tff(fun_fu1407349192nt_rat,type,
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tff(fun_complex_complex,type,
    fun_complex_complex: $tType ).

tff(fun_fu1849968923l_bool,type,
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tff(fun_fu257678363t_bool,type,
    fun_fu257678363t_bool: $tType ).

tff(fun_fu2013528197nt_int,type,
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tff(fun_fu1647323910t_real,type,
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tff(fun_fu236049833ol_nat,type,
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tff(fun_fu201758811t_bool,type,
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tff(fun_fu1020737221t_bool,type,
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tff(fun_fu1540142484l_bool,type,
    fun_fu1540142484l_bool: $tType ).

tff(produc1137372701nt_int,type,
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tff(fun_fu1124178569t_bool,type,
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tff(fun_fu746286897l_real,type,
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tff(fun_re69907033l_real,type,
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tff(fun_re1414183599l_real,type,
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tff(fun_fu888010351l_real,type,
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tff(fun_fu1128560427l_bool,type,
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tff(fun_na1436237685l_bool,type,
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tff(fun_fu1743937405t_bool,type,
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tff(fun_Pr608224961l_real,type,
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tff(fun_fu1224477654t_bool,type,
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tff(fun_fu963292147t_bool,type,
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tff(fun_fu1792033211t_bool,type,
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tff(rat,type,
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tff(fun_co777804144omplex,type,
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tff(fun_rat_rat,type,
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tff(fun_fu2147105085t_real,type,
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tff(fun_fu477462821l_real,type,
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tff(fun_fu717290361t_bool,type,
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tff(fun_fu877647933nt_rat,type,
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tff(fun_fun_nat_bool_nat,type,
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tff(fun_fu411523851l_real,type,
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tff(fun_fu1074799947t_bool,type,
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tff(fun_na295310377de_int,type,
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tff(fun_fu976280201t_bool,type,
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tff(fun_fu2104074051l_bool,type,
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tff(fun_fu550659463t_bool,type,
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tff(fun_re1058169246t_bool,type,
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tff(fun_fu531009635l_bool,type,
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tff(fun_re386138607t_bool,type,
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tff(fun_fu392137927l_real,type,
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tff(fun_fu819804446l_bool,type,
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tff(fun_fu1694240369l_real,type,
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tff(fun_nat_fun_int_int,type,
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tff(fun_nat_int,type,
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tff(quickcheck_code_int,type,
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tff(fun_fu1123997949nt_int,type,
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tff(fun_fu95670548l_real,type,
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tff(fun_Pr426809139at_nat,type,
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tff(fun_fu620454517t_bool,type,
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tff(fun_Pr465597171t_bool,type,
    fun_Pr465597171t_bool: $tType ).

tff(fun_fu200534695nt_int,type,
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tff(fun_fu1337909610t_bool,type,
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tff(fun_fun_nat_bool_int,type,
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tff(fun_fu1082601339t_bool,type,
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tff(fun_fu1154412947l_bool,type,
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tff(fun_fu686082665t_bool,type,
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tff(fun_fu1280874925l_bool,type,
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tff(fun_fu90252420t_real,type,
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tff(fun_re955532029l_real,type,
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tff(fun_int_fun_int_rat,type,
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tff(fun_na1566252557omplex,type,
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tff(fun_fu1509210819t_bool,type,
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tff(fun_fu581830891t_bool,type,
    fun_fu581830891t_bool: $tType ).

tff(fun_fu553683856t_bool,type,
    fun_fu553683856t_bool: $tType ).

tff(fun_co822197010omplex,type,
    fun_co822197010omplex: $tType ).

tff(fun_nat_real,type,
    fun_nat_real: $tType ).

tff(fun_fu380422627l_real,type,
    fun_fu380422627l_real: $tType ).

tff(fun_fu370089278l_bool,type,
    fun_fu370089278l_bool: $tType ).

tff(fun_fu1771472235l_real,type,
    fun_fu1771472235l_real: $tType ).

tff(fun_na768876520l_real,type,
    fun_na768876520l_real: $tType ).

tff(fun_fu498912061nt_int,type,
    fun_fu498912061nt_int: $tType ).

tff(fun_fu1709053786t_real,type,
    fun_fu1709053786t_real: $tType ).

tff(fun_fu2024625515l_bool,type,
    fun_fu2024625515l_bool: $tType ).

tff(fun_fu1877413815l_real,type,
    fun_fu1877413815l_real: $tType ).

tff(fun_int_fun_int_int,type,
    fun_int_fun_int_int: $tType ).

tff(fun_fu2024564861at_int,type,
    fun_fu2024564861at_int: $tType ).

tff(code_code_numeral,type,
    code_code_numeral: $tType ).

tff(fun_fu1294731027t_real,type,
    fun_fu1294731027t_real: $tType ).

tff(fun_fu1521371387t_bool,type,
    fun_fu1521371387t_bool: $tType ).

tff(fun_fu1186009211t_bool,type,
    fun_fu1186009211t_bool: $tType ).

tff(fun_fu1646085827l_real,type,
    fun_fu1646085827l_real: $tType ).

tff(fun_in1698189120t_bool,type,
    fun_in1698189120t_bool: $tType ).

tff(fun_nat_rat,type,
    fun_nat_rat: $tType ).

tff(fun_fu1667083259nt_int,type,
    fun_fu1667083259nt_int: $tType ).

tff(fun_Qu1353705541de_int,type,
    fun_Qu1353705541de_int: $tType ).

tff(fun_re1927296998t_real,type,
    fun_re1927296998t_real: $tType ).

tff(fun_Qu817627884t_bool,type,
    fun_Qu817627884t_bool: $tType ).

tff(fun_re10870101l_real,type,
    fun_re10870101l_real: $tType ).

tff(produc393999548nt_int,type,
    produc393999548nt_int: $tType ).

tff(fun_fu1997740657t_bool,type,
    fun_fu1997740657t_bool: $tType ).

tff(fun_fu593722309nt_int,type,
    fun_fu593722309nt_int: $tType ).

tff(fun_fu913790938t_bool,type,
    fun_fu913790938t_bool: $tType ).

tff(fun_fu1710568445l_bool,type,
    fun_fu1710568445l_bool: $tType ).

tff(fun_fu2102390523nt_int,type,
    fun_fu2102390523nt_int: $tType ).

tff(fun_Pr1127657839l_bool,type,
    fun_Pr1127657839l_bool: $tType ).

tff(fun_fu725782359l_bool,type,
    fun_fu725782359l_bool: $tType ).

tff(fun_fu1230750243l_bool,type,
    fun_fu1230750243l_bool: $tType ).

tff(fun_co2094889951x_bool,type,
    fun_co2094889951x_bool: $tType ).

tff(fun_int_nat,type,
    fun_int_nat: $tType ).

tff(fun_fu1950887583l_real,type,
    fun_fu1950887583l_real: $tType ).

%Background operators:

%Foreground operators:
tff(hAPP_f1119546819l_real,type,
    hAPP_f1119546819l_real: ( fun_fu477462821l_real * fun_re1550493891l_real ) > fun_re955532029l_real ).

tff(hAPP_P1400155668t_bool,type,
    hAPP_P1400155668t_bool: ( fun_Pr755126262t_bool * product_prod_int_int ) > fun_fu1337909610t_bool ).

tff('#skF_217',type,
    '#skF_217': ( fun_int_bool * fun_int_bool * int ) > int ).

tff(produc713050258nt_int,type,
    produc713050258nt_int: fun_int_int > fun_Pr241715507nt_int ).

tff('#skF_6',type,
    '#skF_6': ( int * int * int ) > int ).

tff('#skF_551',type,
    '#skF_551': ( fun_real_real * fun_real_real * real * real ) > real ).

tff(hAPP_c1088319240omplex,type,
    hAPP_c1088319240omplex: ( fun_co777804144omplex * complex ) > fun_nat_complex ).

tff(hAPP_f2144054103l_bool,type,
    hAPP_f2144054103l_bool: ( fun_fu610077323l_bool * fun_int_bool ) > fun_in531499254l_bool ).

tff(cOMBB_793166024ol_int,type,
    cOMBB_793166024ol_int: fun_fu1154412947l_bool ).

tff(hAPP_f1501741374t_real,type,
    hAPP_f1501741374t_real: ( fun_fu393795110t_real * fun_nat_nat ) > fun_re1927296998t_real ).

tff(produc595218619l_real,type,
    produc595218619l_real: fun_re1550493891l_real > fun_Pr1375198143l_real ).

tff('#skF_88',type,
    '#skF_88': ( fun_nat_bool * nat * nat ) > nat ).

tff('#skF_392',type,
    '#skF_392': ( nat * real * fun_na182379510l_real * fun_real_real ) > real ).

tff(hAPP_f1469637905l_bool,type,
    hAPP_f1469637905l_bool: ( fun_fu2145628351l_bool * fun_Pr4007113l_bool ) > bool ).

tff(wset,type,
    wset: int > fun_int_fun_int_bool ).

tff(hAPP_P369611207at_nat,type,
    hAPP_P369611207at_nat: ( fun_Pr1858073897at_nat * product_prod_nat_nat ) > produc1322466333at_nat ).

tff('#skF_324',type,
    '#skF_324': ( nat * nat * fun_nat_fun_nat_bool ) > nat ).

tff('#skF_357',type,
    '#skF_357': ( real * fun_real_bool ) > real ).

tff('#skF_401',type,
    '#skF_401': ( nat * fun_na182379510l_real * fun_real_real * real ) > real ).

tff(hAPP_f1731313045at_nat,type,
    hAPP_f1731313045at_nat: ( fun_fu1799328765at_nat * fun_nat_fun_nat_nat ) > fun_fu2064863920at_nat ).

tff('#skF_488',type,
    '#skF_488': ( int * fun_int_bool * int * int ) > int ).

tff(hAPP_f693283245t_bool,type,
    hAPP_f693283245t_bool: ( fun_fu727999887t_bool * fun_re811280567t_bool ) > fun_fu963292147t_bool ).

tff('#skF_104',type,
    '#skF_104': fun_int_bool > nat ).

tff('#skF_278',type,
    '#skF_278': ( nat * nat ) > nat ).

tff('#skF_212',type,
    '#skF_212': ( fun_int_bool * fun_int_bool * int * int ) > int ).

tff(minus_minus_int,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(ord_less_eq_real,type,
    ord_less_eq_real: fun_re413263731l_bool ).

tff(invers1025623611omplex,type,
    invers1025623611omplex: fun_co822197010omplex ).

tff('#skF_210',type,
    '#skF_210': ( fun_int_bool * fun_int_bool * int ) > int ).

tff(nat_tr876908586nt_nat,type,
    nat_tr876908586nt_nat: fun_int_nat > fun_fu819804446l_bool ).

tff(if_Pro313124157l_real,type,
    if_Pro313124157l_real: fun_bo1189210245l_real ).

tff(hAPP_complex_real,type,
    hAPP_complex_real: ( fun_complex_real * complex ) > real ).

tff('#skF_211',type,
    '#skF_211': ( fun_int_bool * fun_int_bool * int ) > int ).

tff('#skF_318',type,
    '#skF_318': int > nat ).

tff(fact_fact_nat,type,
    fact_fact_nat: fun_nat_nat ).

tff('#skF_198',type,
    '#skF_198': ( real * real * fun_real_real ) > real ).

tff(hAPP_f1879982819l_real,type,
    hAPP_f1879982819l_real: ( fun_fu1466819147l_real * fun_fu380422627l_real ) > fun_fu746286897l_real ).

tff('#skF_126',type,
    '#skF_126': ( nat * nat * fun_nat_nat ) > nat ).

tff('#skF_428',type,
    '#skF_428': ( real * real * fun_nat_real ) > nat ).

tff('#skF_113',type,
    '#skF_113': int > int ).

tff(number_number_of_int,type,
    number_number_of_int: fun_int_int ).

tff(hAPP_f1480506641t_bool,type,
    hAPP_f1480506641t_bool: ( fun_fu22111091t_bool * fun_int_fun_rat_bool ) > fun_rat_fun_int_bool ).

tff(quotient_of,type,
    quotient_of: rat > product_prod_int_int ).

tff(hAPP_f134192053t_real,type,
    hAPP_f134192053t_real: ( fun_fu1335490071t_real * fun_int_real ) > fun_fu90252420t_real ).

tff(hAPP_f289318786t_bool,type,
    hAPP_f289318786t_bool: ( fun_fu1558043364t_bool * fun_nat_bool ) > fun_int_fun_nat_bool ).

tff(minus_minus_rat,type,
    minus_minus_rat: fun_rat_fun_rat_rat ).

tff(hAPP_f73570213t_real,type,
    hAPP_f73570213t_real: ( fun_fu2095711751t_real * fun_na1745536976l_real ) > fun_nat_real ).

tff(cauchy_real,type,
    cauchy_real: fun_nat_real > bool ).

tff(sums_complex,type,
    sums_complex: fun_nat_complex > fun_complex_bool ).

tff(hAPP_P941956607nt_int,type,
    hAPP_P941956607nt_int: ( fun_Pr668393395nt_int * product_prod_int_int ) > fun_Pr29212713nt_int ).

tff('#skF_395',type,
    '#skF_395': ( real * nat * fun_na182379510l_real * fun_real_real ) > real ).

tff(cOMBC_33652895t_bool,type,
    cOMBC_33652895t_bool: fun_fu1940123285t_bool ).

tff(hAPP_n682674106l_real,type,
    hAPP_n682674106l_real: ( fun_na768876520l_real * nat ) > fun_re229243589l_real ).

tff(hAPP_nat_real,type,
    hAPP_nat_real: ( fun_nat_real * nat ) > real ).

tff(hAPP_Q1729056540de_int,type,
    hAPP_Q1729056540de_int: ( fun_Qu64793220de_int * quickcheck_code_int ) > fun_Qu812286141de_int ).

tff('#skF_466',type,
    '#skF_466': ( int * fun_int_bool * int * int ) > int ).

tff(cOMBB_270132509l_real,type,
    cOMBB_270132509l_real: fun_fu386022295l_bool ).

tff(ord_le1860547276de_int,type,
    ord_le1860547276de_int: fun_Qu1069098747t_bool ).

tff(hAPP_rat_fun_nat_rat,type,
    hAPP_rat_fun_nat_rat: ( fun_rat_fun_nat_rat * rat ) > fun_nat_rat ).

tff(cOMBK_1643584600t_bool,type,
    cOMBK_1643584600t_bool: nat > fun_fun_int_bool_nat ).

tff('#skF_378',type,
    '#skF_378': ( nat * real ) > real ).

tff(hAPP_f654702867t_bool,type,
    hAPP_f654702867t_bool: ( fun_fu1521371387t_bool * fun_fu554825757t_bool ) > fun_fu257678363t_bool ).

tff(hAPP_i1730167831nt_int,type,
    hAPP_i1730167831nt_int: ( fun_in1560792517nt_int * int ) > fun_Pr1076553414nt_int ).

tff('#skF_441',type,
    '#skF_441': ( rat * fun_rat_bool ) > int ).

tff(cos_coeff,type,
    cos_coeff: fun_nat_real ).

tff(hAPP_f1065357839nt_rat,type,
    hAPP_f1065357839nt_rat: ( fun_fu1186790897nt_rat * fun_Pr480351984nt_int ) > fun_Pr1024438428nt_rat ).

tff('#skF_424',type,
    '#skF_424': ( fun_int_int * fun_int_bool ) > int ).

tff('#skF_380',type,
    '#skF_380': ( nat * real * fun_na182379510l_real * nat * real ) > nat ).

tff('#skF_7',type,
    '#skF_7': int > int ).

tff(hAPP_f1861673493l_bool,type,
    hAPP_f1861673493l_bool: ( fun_fu1710568445l_bool * fun_real_bool ) > fun_real_bool ).

tff(hAPP_c1403687985x_bool,type,
    hAPP_c1403687985x_bool: ( fun_co2094889951x_bool * complex ) > fun_complex_bool ).

tff('#skF_111',type,
    '#skF_111': ( fun_nat_bool * int ) > nat ).

tff('#skF_84',type,
    '#skF_84': fun_nat_bool > nat ).

tff(im,type,
    im: fun_complex_real ).

tff('#skF_511',type,
    '#skF_511': ( fun_nat_rat * rat ) > nat ).

tff('#skF_155',type,
    '#skF_155': real > real ).

tff('#skF_336',type,
    '#skF_336': ( fun_int_int * fun_int_bool * int ) > int ).

tff(gcd_gcd_int,type,
    gcd_gcd_int: fun_int_fun_int_int ).

tff(hAPP_f1509287679l_real,type,
    hAPP_f1509287679l_real: ( fun_fu705349683l_real * fun_nat_real ) > fun_fu95670548l_real ).

tff('#skF_527',type,
    '#skF_527': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff('#skF_190',type,
    '#skF_190': ( fun_real_real * real * real * real ) > real ).

tff(ord_at1496968948n_real,type,
    ord_at1496968948n_real: real > fun_re413263731l_bool ).

tff('#skF_296',type,
    '#skF_296': ( int * int ) > int ).

tff('#skF_188',type,
    '#skF_188': ( fun_real_real * real * real ) > real ).

tff(cOMBS_real_bool_bool,type,
    cOMBS_real_bool_bool: fun_fu1882383245l_bool ).

tff(hAPP_f1690286043t_real,type,
    hAPP_f1690286043t_real: ( fun_fu1138019779t_real * fun_real_real ) > fun_fu1569755401t_real ).

tff(noXRRset,type,
    noXRRset: int > fun_int_fun_int_bool ).

tff('#skF_69',type,
    '#skF_69': ( fun_int_fun_int_bool * int * int ) > int ).

tff(cOMBB_real_bool_real,type,
    cOMBB_real_bool_real: fun_fu1929568823l_bool ).

tff('#skF_281',type,
    '#skF_281': ( nat * nat ) > nat ).

tff(cOMBB_866192175nt_int,type,
    cOMBB_866192175nt_int: fun_fu461997905nt_int ).

tff(hAPP_f848516149l_bool,type,
    hAPP_f848516149l_bool: ( fun_fu386022295l_bool * fun_fu970548443l_bool ) > fun_fu725782359l_bool ).

tff(the_Pr588456374at_nat,type,
    the_Pr588456374at_nat: fun_Pr1927655017t_bool > product_prod_nat_nat ).

tff(hAPP_f1763467369l_real,type,
    hAPP_f1763467369l_real: ( fun_fu1943305629l_real * fun_re1233422975l_real ) > fun_fu1771472235l_real ).

tff(hAPP_i1823918693l_bool,type,
    hAPP_i1823918693l_bool: ( fun_in397122125l_bool * int ) > fun_in531499254l_bool ).

tff(hAPP_f1076489843l_real,type,
    hAPP_f1076489843l_real: ( fun_fu117737819l_real * fun_bo1189210245l_real ) > fun_fu380422627l_real ).

tff(bseq_real,type,
    bseq_real: fun_nat_real > bool ).

tff(ord_le258702272de_int,type,
    ord_le258702272de_int: fun_Qu1069098747t_bool ).

tff('#skF_146',type,
    '#skF_146': ( int * int ) > int ).

tff('#skF_397',type,
    '#skF_397': ( fun_na182379510l_real * fun_real_real * nat * real ) > nat ).

tff(cos,type,
    cos: fun_real_real ).

tff(hAPP_i1732201573de_int,type,
    hAPP_i1732201573de_int: ( fun_in1505040589de_int * int ) > quickcheck_code_int ).

tff(cOMBB_int_int_int,type,
    cOMBB_int_int_int: fun_fu1480724285nt_int ).

tff(cOMBB_1344650379nt_int,type,
    cOMBB_1344650379nt_int: fun_fu201758811t_bool ).

tff('#skF_479',type,
    '#skF_479': ( int * fun_int_bool * int * int ) > int ).

tff(vanishes,type,
    vanishes: fun_nat_rat > bool ).

tff(collect_int,type,
    collect_int: fun_int_bool > fun_int_bool ).

tff(hAPP_f1904307534l_real,type,
    hAPP_f1904307534l_real: ( fun_fu1254259254l_real * fun_nat_nat ) > fun_na182379510l_real ).

tff(cOMBB_real_real_real,type,
    cOMBB_real_real_real: fun_fu1877413815l_real ).

tff(hAPP_int_nat,type,
    hAPP_int_nat: ( fun_int_nat * int ) > nat ).

tff('#skF_43',type,
    '#skF_43': ( code_code_numeral * code_code_numeral ) > code_code_numeral ).

tff(hAPP_i16292313t_bool,type,
    hAPP_i16292313t_bool: ( fun_int_fun_rat_bool * int ) > fun_rat_bool ).

tff(fequal_nat,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(hAPP_i1216375074nt_int,type,
    hAPP_i1216375074nt_int: ( fun_in989261322nt_int * int ) > fun_Pr241715507nt_int ).

tff('#skF_445',type,
    '#skF_445': ( real * real * nat * fun_nat_real * fun_nat_real ) > nat ).

tff(hAPP_r1250527377l_real,type,
    hAPP_r1250527377l_real: ( fun_re229243589l_real * real ) > fun_real_real ).

tff('#skF_426',type,
    '#skF_426': ( real * fun_nat_real ) > nat ).

tff(hAPP_f1505651103t_bool,type,
    hAPP_f1505651103t_bool: ( fun_fu687803393t_bool * fun_nat_fun_nat_bool ) > fun_fu717290361t_bool ).

tff(s1,type,
    s1: int ).

tff(dvd_dv174992974umeral,type,
    dvd_dv174992974umeral: fun_Co1372573603l_bool ).

tff(hAPP_f1393328161l_bool,type,
    hAPP_f1393328161l_bool: ( fun_fu736357967l_bool * fun_real_real ) > fun_re413263731l_bool ).

tff(hAPP_f1992866895l_real,type,
    hAPP_f1992866895l_real: ( fun_fu1877413815l_real * fun_real_real ) > fun_fu1564476029l_real ).

tff(cOMBB_1159313332l_real,type,
    cOMBB_1159313332l_real: fun_fu1743247959t_bool ).

tff('#skF_109',type,
    '#skF_109': nat > nat ).

tff('#skF_361',type,
    '#skF_361': ( rat * fun_rat_bool ) > int ).

tff(hAPP_P1333854989l_bool,type,
    hAPP_P1333854989l_bool: ( fun_Pr1127657839l_bool * produc914805421l_real ) > bool ).

tff('#skF_182',type,
    '#skF_182': ( real * fun_real_real * real * real ) > real ).

tff('#skF_323',type,
    '#skF_323': ( nat * nat * fun_nat_fun_nat_bool ) > nat ).

tff(hAPP_f2037783381l_bool,type,
    hAPP_f2037783381l_bool: ( fun_fu1597390397l_bool * fun_na1436237685l_bool ) > fun_fu1585362869l_bool ).

tff(coprime,type,
    coprime: fun_nat_fun_nat_bool ).

tff('#skF_67',type,
    '#skF_67': ( int * int ) > int ).

tff(cOMBB_1647910634ol_int,type,
    cOMBB_1647910634ol_int: fun_fu1861895035t_bool ).

tff('#skF_97',type,
    '#skF_97': ( nat * nat * nat ) > nat ).

tff(hAPP_f1177545951t_bool,type,
    hAPP_f1177545951t_bool: ( fun_fu1988342983t_bool * fun_fu916648827t_bool ) > fun_fu1212385221t_bool ).

tff('#skF_557',type,
    '#skF_557': fun_nat_bool > nat ).

tff(twoSqu1425020248sum2sq,type,
    twoSqu1425020248sum2sq: fun_int_bool ).

tff(tan,type,
    tan: fun_real_real ).

tff(hAPP_P507092031nt_rat,type,
    hAPP_P507092031nt_rat: ( fun_Pr1826394355nt_rat * product_prod_int_int ) > fun_int_rat ).

tff('#skF_522',type,
    '#skF_522': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff(hAPP_f327026105t_real,type,
    hAPP_f327026105t_real: ( fun_fu1596546331t_real * fun_complex_real ) > fun_fu1647323910t_real ).

tff('#skF_524',type,
    '#skF_524': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff(hAPP_r653725362t_bool,type,
    hAPP_r653725362t_bool: ( fun_re507499238t_bool * real ) > fun_fu1558043364t_bool ).

tff(one_one_int,type,
    one_one_int: int ).

tff('#skF_70',type,
    '#skF_70': ( fun_int_fun_int_bool * int * int ) > int ).

tff(the_Pr2103884470nt_int,type,
    the_Pr2103884470nt_int: fun_Pr974702441t_bool > product_prod_int_int ).

tff(cOMBB_1480366270al_nat,type,
    cOMBB_1480366270al_nat: fun_fu1646085827l_real ).

tff('#skF_11',type,
    '#skF_11': ( fun_real_bool * real ) > real ).

tff(hAPP_f571820015t_bool,type,
    hAPP_f571820015t_bool: ( fun_fu1743247959t_bool * fun_fu1290768832t_bool ) > fun_fu913790938t_bool ).

tff('#skF_191',type,
    '#skF_191': real > real ).

tff(hAPP_C498520661umeral,type,
    hAPP_C498520661umeral: ( fun_Co536835517umeral * code_code_numeral ) > code_code_numeral ).

tff('#skF_544',type,
    '#skF_544': ( fun_real_real * real * real ) > real ).

tff(sRStar,type,
    sRStar: fun_int_fun_int_bool ).

tff('#skF_534',type,
    '#skF_534': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff(hAPP_f743790483t_bool,type,
    hAPP_f743790483t_bool: ( fun_fu1861895035t_bool * fun_fu1532576183t_bool ) > fun_fu806471093t_bool ).

tff(of_real_complex,type,
    of_real_complex: real > complex ).

tff('#skF_537',type,
    '#skF_537': ( real * fun_nat_real ) > real ).

tff(hAPP_r847664445t_bool,type,
    hAPP_r847664445t_bool: ( fun_re1171866993t_bool * real ) > fun_fu2100483183t_bool ).

tff(cOMBB_1506897658nt_int,type,
    cOMBB_1506897658nt_int: fun_fu593722309nt_int ).

tff(natceiling,type,
    natceiling: real > nat ).

tff('#skF_234',type,
    '#skF_234': real ).

tff('#skF_465',type,
    '#skF_465': ( fun_real_real * real * real ) > real ).

tff(hAPP_P877703507t_bool,type,
    hAPP_P877703507t_bool: ( fun_Pr1254492423t_bool * product_prod_int_int ) > fun_fu2112443261t_bool ).

tff(hAPP_f801032407l_bool,type,
    hAPP_f801032407l_bool: ( fun_fu1898336267l_bool * fun_int_real ) > fun_in1251377736l_bool ).

tff(if_real,type,
    if_real: fun_bo1998411783l_real ).

tff('#skF_255',type,
    '#skF_255': ( nat * real * real * fun_Pr1127657839l_bool ) > real ).

tff(cOMBS_1676841879t_bool,type,
    cOMBS_1676841879t_bool: fun_fu2062813463t_bool ).

tff(cOMBB_int_bool_nat,type,
    cOMBB_int_bool_nat: fun_fu1670435187t_bool ).

tff(semiri132038758t_real,type,
    semiri132038758t_real: fun_nat_real ).

tff(fTrue,type,
    fTrue: bool ).

tff(fract,type,
    fract: fun_int_fun_int_rat ).

tff(inverse_divide_rat,type,
    inverse_divide_rat: fun_rat_fun_rat_rat ).

tff(pair_less,type,
    pair_less: fun_Pr587612383t_bool ).

tff('#skF_513',type,
    '#skF_513': fun_nat_rat > rat ).

tff(cOMBS_794971624l_real,type,
    cOMBS_794971624l_real: fun_fu209750539l_real ).

tff(hAPP_f1925507189l_bool,type,
    hAPP_f1925507189l_bool: ( fun_fu539349981l_bool * fun_fu819804446l_bool ) > fun_fu370089278l_bool ).

tff('#skF_402',type,
    '#skF_402': ( nat * fun_na182379510l_real * fun_real_real * real ) > real ).

tff(hAPP_f1625314454t_bool,type,
    hAPP_f1625314454t_bool: ( fun_fu1197312126t_bool * fun_re386138607t_bool ) > fun_re546217968t_bool ).

tff('#skF_102',type,
    '#skF_102': ( int * int ) > nat ).

tff(nat_case_nat,type,
    nat_case_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(hAPP_C2129356693al_nat,type,
    hAPP_C2129356693al_nat: ( fun_Co116562173al_nat * code_code_numeral ) > nat ).

tff(hAPP_f1456711209t_bool,type,
    hAPP_f1456711209t_bool: ( fun_fu429916689t_bool * fun_fu407119589t_bool ) > fun_fu2018039801t_bool ).

tff(hAPP_f320596107l_real,type,
    hAPP_f320596107l_real: ( fun_fu2022215021l_real * fun_re229243589l_real ) > fun_re1550493891l_real ).

tff(cOMBC_real_real_bool,type,
    cOMBC_real_real_bool: fun_fu2054751691l_bool ).

tff(cOMBB_422423973l_real,type,
    cOMBB_422423973l_real: fun_fu887818731l_real ).

tff(cOMBB_1657320178nt_int,type,
    cOMBB_1657320178nt_int: fun_fu1570293243nt_int ).

tff(hAPP_P62333565t_bool,type,
    hAPP_P62333565t_bool: ( fun_Pr1333588703t_bool * produc1137372701nt_int ) > bool ).

tff('#skF_416',type,
    '#skF_416': ( nat * real * fun_na182379510l_real * fun_real_real ) > real ).

tff(ord_atMost_nat,type,
    ord_atMost_nat: fun_nat_fun_nat_bool ).

tff(arg,type,
    arg: complex > real ).

tff(hAPP_Q125967240de_int,type,
    hAPP_Q125967240de_int: ( fun_Qu1439435760de_int * quickcheck_code_int ) > fun_na295310377de_int ).

tff(hAPP_rat_bool,type,
    hAPP_rat_bool: ( fun_rat_bool * rat ) > bool ).

tff('#skF_539',type,
    '#skF_539': ( real * fun_real_real * real * real * fun_real_real * real ) > real ).

tff('#skF_377',type,
    '#skF_377': ( nat * real ) > real ).

tff(hAPP_f223623489t_bool,type,
    hAPP_f223623489t_bool: ( fun_fu694788213t_bool * fun_Pr820506994t_bool ) > fun_Pr755126262t_bool ).

tff('#skF_371',type,
    '#skF_371': ( fun_nat_real * fun_nat_real ) > nat ).

tff(cOMBB_557258983l_real,type,
    cOMBB_557258983l_real: fun_fu392137927l_real ).

tff('#skF_443',type,
    '#skF_443': ( nat * fun_fu819804446l_bool ) > fun_int_bool ).

tff('#skF_194',type,
    '#skF_194': ( real * real ) > real ).

tff('#skF_253',type,
    '#skF_253': ( nat * nat ) > nat ).

tff(hAPP_i1153444985nt_int,type,
    hAPP_i1153444985nt_int: ( fun_in2124216673nt_int * int ) > fun_in989261322nt_int ).

tff(hAPP_f1760145644nt_int,type,
    hAPP_f1760145644nt_int: ( fun_fu442799956nt_int * fun_int_int ) > fun_int_fun_int_int ).

tff(inverse_divide_real,type,
    inverse_divide_real: fun_re229243589l_real ).

tff('#skF_505',type,
    '#skF_505': ( fun_nat_real * nat ) > nat ).

tff('#skF_381',type,
    '#skF_381': ( nat * real * fun_na182379510l_real * nat * real ) > real ).

tff(hAPP_f1135648319t_real,type,
    hAPP_f1135648319t_real: ( fun_fu2073566759t_real * fun_re573205052t_real ) > fun_fu393795110t_real ).

tff(hAPP_f423804115t_bool,type,
    hAPP_f423804115t_bool: ( fun_fu1671602619t_bool * fun_fu819804446l_bool ) > fun_fu1221449756t_bool ).

tff(hAPP_f1676298106t_real,type,
    hAPP_f1676298106t_real: ( fun_fu508603688t_real * fun_nat_nat ) > fun_nat_real ).

tff(scaleR_scaleR_real,type,
    scaleR_scaleR_real: real > fun_real_real ).

tff(produc973645403t_bool,type,
    produc973645403t_bool: fun_Pr313471731t_bool > fun_Pr1333588703t_bool ).

tff('#skF_446',type,
    '#skF_446': ( real * fun_nat_real * real * nat ) > nat ).

tff(archim791455193or_rat,type,
    archim791455193or_rat: rat > int ).

tff('#skF_110',type,
    '#skF_110': ( nat * nat ) > nat ).

tff(hAPP_P1668131738nt_int,type,
    hAPP_P1668131738nt_int: ( fun_Pr2144253564nt_int * product_prod_int_int ) > fun_Pr480351984nt_int ).

tff(cOMBC_nat_nat_bool,type,
    cOMBC_nat_nat_bool: fun_fu1733046955t_bool ).

tff(hAPP_f406530075omplex,type,
    hAPP_f406530075omplex: ( fun_fu402939139omplex * fun_re398676606omplex ) > fun_fu221716676omplex ).

tff(real_nat,type,
    real_nat: fun_nat_real ).

tff('#skF_28',type,
    '#skF_28': ( fun_nat_bool * nat * nat ) > nat ).

tff(hAPP_f382317021nt_rat,type,
    hAPP_f382317021nt_rat: ( fun_fu55588037nt_rat * fun_int_fun_int_rat ) > fun_fu1407349192nt_rat ).

tff('#skF_263',type,
    '#skF_263': ( real * real * fun_Pr1127657839l_bool ) > real ).

tff(hAPP_f1406902706l_real,type,
    hAPP_f1406902706l_real: ( fun_fu95670548l_real * fun_nat_bool ) > real ).

tff('#skF_99',type,
    '#skF_99': ( nat * nat ) > nat ).

tff('#skF_373',type,
    '#skF_373': ( fun_nat_bool * nat ) > nat ).

tff(adjust,type,
    adjust: int > fun_Pr241715507nt_int ).

tff(member_nat,type,
    member_nat: fun_na1436237685l_bool ).

tff(hAPP_f125837377t_bool,type,
    hAPP_f125837377t_bool: ( fun_fu620454517t_bool * fun_Pr1254492423t_bool ) > fun_fu1859693515t_bool ).

tff(cOMBB_44084907l_real,type,
    cOMBB_44084907l_real: fun_fu463555643l_real ).

tff('#skF_177',type,
    '#skF_177': nat > nat ).

tff(finite_card_nat,type,
    finite_card_nat: fun_fun_nat_bool_nat ).

tff(even_odd_even_nat,type,
    even_odd_even_nat: fun_nat_bool ).

tff('#skF_156',type,
    '#skF_156': real ).

tff(hAPP_int_bool,type,
    hAPP_int_bool: ( fun_int_bool * int ) > bool ).

tff('#skF_538',type,
    '#skF_538': ( fun_real_real * real * real ) > real ).

tff(hAPP_rat_fun_rat_rat,type,
    hAPP_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(hAPP_f1902329768t_bool,type,
    hAPP_f1902329768t_bool: ( fun_fu553683856t_bool * fun_in1678813097l_bool ) > fun_in319042876t_bool ).

tff(zcong,type,
    zcong: int > fun_int_fun_int_bool ).

tff(cOMBC_1417754532nt_int,type,
    cOMBC_1417754532nt_int: fun_fu179687707nt_int ).

tff(minus_minus_real,type,
    minus_minus_real: fun_re229243589l_real ).

tff('#skF_393',type,
    '#skF_393': ( nat * real * fun_na182379510l_real * fun_real_real ) > real ).

tff(suminf_real,type,
    suminf_real: fun_fu1122561126l_real ).

tff('#skF_196',type,
    '#skF_196': ( real * real ) > real ).

tff(hAPP_C1594335432umeral,type,
    hAPP_C1594335432umeral: ( fun_Co1323339824umeral * code_code_numeral ) > fun_Co536835517umeral ).

tff('#skF_36',type,
    '#skF_36': ( fun_int_bool * int * int ) > int ).

tff('#skF_383',type,
    '#skF_383': ( nat * real ) > real ).

tff(hAPP_P1982799375l_real,type,
    hAPP_P1982799375l_real: ( fun_Pr1283822147l_real * produc914805421l_real ) > fun_Pr1375198143l_real ).

tff('#skF_327',type,
    '#skF_327': fun_nat_nat > nat ).

tff('#skF_499',type,
    '#skF_499': ( int * int * int * int * fun_int_bool ) > int ).

tff(cOMBS_nat_bool_bool,type,
    cOMBS_nat_bool_bool: fun_fu1901564496t_bool ).

tff(log,type,
    log: real > fun_real_real ).

tff('#skF_57',type,
    '#skF_57': ( quickcheck_code_int * quickcheck_code_int ) > quickcheck_code_int ).

tff(hAPP_P731461727l_real,type,
    hAPP_P731461727l_real: ( fun_Pr608224961l_real * produc914805421l_real ) > real ).

tff('#skF_531',type,
    '#skF_531': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff(hAPP_f956464319t_bool,type,
    hAPP_f956464319t_bool: ( fun_fu1154989811t_bool * fun_int_fun_int_real ) > fun_re386138607t_bool ).

tff(hAPP_f791698359t_bool,type,
    hAPP_f791698359t_bool: ( fun_fu579242521t_bool * fun_in351380826t_bool ) > fun_in351380826t_bool ).

tff('#skF_369',type,
    '#skF_369': fun_nat_real > nat ).

tff('#skF_329',type,
    '#skF_329': ( fun_int_fun_int_bool * int * int ) > int ).

tff(norm_frac_rel,type,
    norm_frac_rel: fun_Pr313471731t_bool ).

tff('#skF_80',type,
    '#skF_80': int > int ).

tff('#skF_226',type,
    '#skF_226': ( nat * nat ) > nat ).

tff('#skF_447',type,
    '#skF_447': ( real * fun_nat_real * real * nat ) > nat ).

tff('#skF_540',type,
    '#skF_540': ( fun_real_real * fun_real_real * real * real ) > real ).

tff(cOMBB_1714920583ex_nat,type,
    cOMBB_1714920583ex_nat: fun_fu402939139omplex ).

tff(semiri1621563631at_int,type,
    semiri1621563631at_int: fun_nat_int ).

tff(hAPP_f365317245l_bool,type,
    hAPP_f365317245l_bool: ( fun_fu1128560427l_bool * fun_Pr974702441t_bool ) > fun_Pr189909033l_bool ).

tff('#skF_535',type,
    '#skF_535': ( real * fun_nat_real ) > nat ).

tff('#skF_498',type,
    '#skF_498': ( int * int * int * int * fun_int_bool ) > int ).

tff(power_power_rat,type,
    power_power_rat: fun_rat_fun_nat_rat ).

tff(times_times_real,type,
    times_times_real: fun_re229243589l_real ).

tff(hAPP_r1562208522t_bool,type,
    hAPP_r1562208522t_bool: ( fun_re506364222t_bool * real ) > fun_in319042876t_bool ).

tff(hAPP_r1130899993l_bool,type,
    hAPP_r1130899993l_bool: ( fun_re1865242107l_bool * real ) > fun_fu586093159l_bool ).

tff(hAPP_f837737749at_nat,type,
    hAPP_f837737749at_nat: ( fun_fu1370325315at_nat * fun_nat_nat ) > fun_na257798253at_nat ).

tff(summable_complex,type,
    summable_complex: fun_nat_complex > bool ).

tff(produc2136830103umeral,type,
    produc2136830103umeral: fun_Co1101317613umeral ).

tff('#skF_289',type,
    '#skF_289': real > int ).

tff(hAPP_list_int_nat,type,
    hAPP_list_int_nat: ( fun_list_int_nat * list_int ) > nat ).

tff(code_c271388182l_size,type,
    code_c271388182l_size: code_code_numeral > nat ).

tff('#skF_482',type,
    '#skF_482': ( int * fun_int_bool * int * int ) > int ).

tff(hAPP_f526364711l_bool,type,
    hAPP_f526364711l_bool: ( fun_fu1202355157l_bool * fun_Pr1333588703t_bool ) > bool ).

tff('#skF_120',type,
    '#skF_120': ( nat * nat * fun_nat_nat ) > nat ).

tff('#skF_96',type,
    '#skF_96': ( nat * nat * nat ) > nat ).

tff('#skF_442',type,
    '#skF_442': ( rat * fun_rat_bool ) > int ).

tff(hAPP_f202917053t_bool,type,
    hAPP_f202917053t_bool: ( fun_fu1374874789t_bool * fun_in938817141l_bool ) > fun_fu554825757t_bool ).

tff(cOMBS_480885903t_bool,type,
    cOMBS_480885903t_bool: fun_fu581830891t_bool ).

tff('#skF_118',type,
    '#skF_118': int > nat ).

tff(hAPP_i769753017umeral,type,
    hAPP_i769753017umeral: ( fun_in1022115617umeral * int ) > code_code_numeral ).

tff(hAPP_i447943416t_real,type,
    hAPP_i447943416t_real: ( fun_in464278240t_real * int ) > fun_fu1569755401t_real ).

tff(product_fst_nat_nat,type,
    product_fst_nat_nat: fun_Pr1434736532at_nat ).

tff(hAPP_f1375227553nt_int,type,
    hAPP_f1375227553nt_int: ( fun_fu1379407829nt_int * fun_in2003698982nt_int ) > fun_in989261322nt_int ).

tff('#skF_414',type,
    '#skF_414': ( fun_na182379510l_real * fun_real_real * nat * real ) > real ).

tff('#skF_121',type,
    '#skF_121': ( fun_nat_bool * nat * nat ) > nat ).

tff(hAPP_f1241350704t_bool,type,
    hAPP_f1241350704t_bool: ( fun_fu1017341406t_bool * fun_int_rat ) > fun_int_bool ).

tff('#skF_205',type,
    '#skF_205': ( fun_real_real * real * real ) > real ).

tff(hAPP_P989584703t_bool,type,
    hAPP_P989584703t_bool: ( fun_Pr313471731t_bool * product_prod_int_int ) > fun_Pr974702441t_bool ).

tff(hAPP_f1591894897l_real,type,
    hAPP_f1591894897l_real: ( fun_fu1950887583l_real * fun_real_real ) > fun_re1550493891l_real ).

tff('#skF_192',type,
    '#skF_192': ( fun_real_real * fun_real_real * real * real ) > real ).

tff(hAPP_f400538607nt_int,type,
    hAPP_f400538607nt_int: ( fun_fu461997905nt_int * fun_in1211676399nt_int ) > fun_fu1123997949nt_int ).

tff(hAPP_f42270917t_real,type,
    hAPP_f42270917t_real: ( fun_fu513207213t_real * fun_na182379510l_real ) > fun_re1927296998t_real ).

tff(hAPP_f284875647l_bool,type,
    hAPP_f284875647l_bool: ( fun_fu1151772339l_bool * fun_int_bool ) > fun_fu819804446l_bool ).

tff('#skF_25',type,
    '#skF_25': ( nat * fun_nat_bool ) > nat ).

tff(cOMBC_983868720t_bool,type,
    cOMBC_983868720t_bool: fun_fu1131392967t_bool ).

tff(hAPP_n1289843868at_nat,type,
    hAPP_n1289843868at_nat: ( fun_na196172234at_nat * nat ) > product_prod_nat_nat ).

tff('#skF_44',type,
    '#skF_44': ( real * real ) > real ).

tff(cOMBB_rat_rat_nat,type,
    cOMBB_rat_rat_nat: fun_fu513399869at_rat ).

tff('#skF_19',type,
    '#skF_19': ( fun_int_bool * int ) > int ).

tff(hAPP_f1935805932nt_int,type,
    hAPP_f1935805932nt_int: ( fun_fu1086719572nt_int * fun_nat_int ) > fun_nat_fun_int_int ).

tff('#skF_311',type,
    '#skF_311': ( int * nat * int * int * int ) > int ).

tff(minus_534354567de_int,type,
    minus_534354567de_int: fun_Qu64793220de_int ).

tff(hAPP_i872162435t_bool,type,
    hAPP_i872162435t_bool: ( fun_in67169585t_bool * int ) > fun_fu205926450t_bool ).

tff('#skF_454',type,
    '#skF_454': fun_nat_real > nat ).

tff(one_one_real,type,
    one_one_real: real ).

tff(hAPP_P1145851913nt_int,type,
    hAPP_P1145851913nt_int: ( fun_Pr1580971581nt_int * product_prod_int_int ) > fun_Pr241715507nt_int ).

tff(hAPP_f334321603nt_int,type,
    hAPP_f334321603nt_int: ( fun_fu731020837nt_int * fun_Pr1238001172nt_int ) > fun_fu1574148012nt_int ).

tff('#skF_224',type,
    '#skF_224': ( nat * nat ) > nat ).

tff(hilbert_Eps_real,type,
    hilbert_Eps_real: fun_real_bool > real ).

tff(hAPP_r481142414t_bool,type,
    hAPP_r481142414t_bool: ( fun_re546217968t_bool * real ) > fun_int_bool ).

tff(ord_le565307924umeral,type,
    ord_le565307924umeral: fun_Co1372573603l_bool ).

tff(hAPP_i61245889nt_int,type,
    hAPP_i61245889nt_int: ( fun_in1211676399nt_int * int ) > fun_Pr480351984nt_int ).

tff('#skF_237',type,
    '#skF_237': real ).

tff(code_int_of,type,
    code_int_of: code_code_numeral > int ).

tff('#skF_370',type,
    '#skF_370': fun_nat_real > nat ).

tff(hAPP_int_fun_int_int,type,
    hAPP_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(hAPP_P402336767at_nat,type,
    hAPP_P402336767at_nat: ( fun_Pr1071803827at_nat * product_prod_nat_nat ) > fun_Pr1858073897at_nat ).

tff('#skF_472',type,
    '#skF_472': ( int * fun_int_bool * int * int ) > int ).

tff(fNot,type,
    fNot: fun_bool_bool ).

tff('#skF_149',type,
    '#skF_149': ( int * fun_nat_int * nat ) > nat ).

tff(hAPP_f800510211t_bool,type,
    hAPP_f800510211t_bool: ( fun_fu821463397t_bool * fun_nat_bool ) > fun_nat_bool ).

tff('#skF_495',type,
    '#skF_495': ( fun_int_bool * int ) > int ).

tff(hAPP_real_complex,type,
    hAPP_real_complex: ( fun_real_complex * real ) > complex ).

tff('#skF_50',type,
    '#skF_50': ( real * real ) > real ).

tff(arccos,type,
    arccos: fun_real_real ).

tff(hAPP_f1408247010at_nat,type,
    hAPP_f1408247010at_nat: ( fun_fu1382375754at_nat * fun_nat_fun_nat_nat ) > fun_fu325663101at_nat ).

tff('#skF_520',type,
    '#skF_520': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff('#skF_187',type,
    '#skF_187': ( fun_real_real * real * real ) > real ).

tff(hAPP_f561022312t_bool,type,
    hAPP_f561022312t_bool: ( fun_fu1901564496t_bool * fun_na1469252690l_bool ) > fun_fu821463397t_bool ).

tff('#skF_147',type,
    '#skF_147': ( int * int ) > int ).

tff(hAPP_f727283836t_bool,type,
    hAPP_f727283836t_bool: ( fun_fu587508068t_bool * fun_in531499254l_bool ) > fun_fu554825757t_bool ).

tff(times_1655362735umeral,type,
    times_1655362735umeral: fun_Co1323339824umeral ).

tff('#skF_171',type,
    '#skF_171': nat > nat ).

tff(hAPP_P880235623l_bool,type,
    hAPP_P880235623l_bool: ( fun_Pr4007113l_bool * produc1450482951t_bool ) > bool ).

tff(hAPP_r579619957l_real,type,
    hAPP_r579619957l_real: ( fun_re665330775l_real * real ) > fun_re1550493891l_real ).

tff(pred,type,
    pred: fun_int_int ).

tff('#skF_449',type,
    '#skF_449': fun_nat_real > nat ).

tff('#skF_136',type,
    '#skF_136': ( nat * nat ) > nat ).

tff(cOMBB_1419615765al_nat,type,
    cOMBB_1419615765al_nat: fun_fu658053629l_real ).

tff(hAPP_i119638232t_bool,type,
    hAPP_i119638232t_bool: ( fun_in1698189120t_bool * int ) > fun_Pr974702441t_bool ).

tff(negDivAlg_rel,type,
    negDivAlg_rel: fun_Pr313471731t_bool ).

tff(hAPP_n1006566506l_bool,type,
    hAPP_n1006566506l_bool: ( fun_na1469252690l_bool * nat ) > fun_bool_bool ).

tff('#skF_250',type,
    '#skF_250': nat > nat ).

tff(cOMBC_241247961t_bool,type,
    cOMBC_241247961t_bool: fun_fu579242521t_bool ).

tff(hAPP_bool_bool,type,
    hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(cOMBS_400904860l_bool,type,
    cOMBS_400904860l_bool: fun_fu1257888773t_bool ).

tff(hAPP_f1855025978nt_int,type,
    hAPP_f1855025978nt_int: ( fun_fu693994524nt_int * fun_Pr480351984nt_int ) > fun_Pr2134412615nt_int ).

tff(hAPP_f472159229t_bool,type,
    hAPP_f472159229t_bool: ( fun_fu407119589t_bool * fun_in719570932t_bool ) > fun_fu380257692t_bool ).

tff('#skF_362',type,
    '#skF_362': ( rat * fun_rat_bool ) > int ).

tff(comple219730294t_bool,type,
    comple219730294t_bool: fun_fu819804446l_bool > fun_int_bool ).

tff(hAPP_f1310479593l_real,type,
    hAPP_f1310479593l_real: ( fun_fu778540235l_real * fun_fu2120820641l_real ) > fun_fu1091783237l_real ).

tff(cOMBB_1496585939nt_int,type,
    cOMBB_1496585939nt_int: fun_fu428587005nt_int ).

tff(sin,type,
    sin: fun_real_real ).

tff(hAPP_f850851693l_real,type,
    hAPP_f850851693l_real: ( fun_fu1613343649l_real * fun_re955532029l_real ) > fun_fu2022215021l_real ).

tff(accp_int,type,
    accp_int: fun_int_fun_int_bool > fun_int_bool ).

tff('#skF_123',type,
    '#skF_123': int > nat ).

tff('#skF_218',type,
    '#skF_218': ( fun_int_bool * fun_int_bool * int * int ) > int ).

tff(cOMBB_1211207212ol_int,type,
    cOMBB_1211207212ol_int: fun_fu1620940093t_bool ).

tff('#skF_399',type,
    '#skF_399': ( fun_na182379510l_real * fun_real_real * nat * real ) > real ).

tff(root,type,
    root: fun_na182379510l_real ).

tff(zero_zero_complex,type,
    zero_zero_complex: complex ).

tff(cOMBB_117013006ex_nat,type,
    cOMBB_117013006ex_nat: fun_fu1232717117omplex ).

tff(hAPP_f555557763l_real,type,
    hAPP_f555557763l_real: ( fun_fu887818731l_real * fun_fu383125559l_real ) > fun_fu477462821l_real ).

tff(hAPP_f1431025877at_int,type,
    hAPP_f1431025877at_int: ( fun_fu1887272509at_int * fun_int_int ) > fun_fu2024564861at_int ).

tff(fimplies,type,
    fimplies: bool > fun_bool_bool ).

tff('#skF_186',type,
    '#skF_186': ( fun_real_real * real * real ) > real ).

tff(cOMBC_int_rat_bool,type,
    cOMBC_int_rat_bool: fun_fu22111091t_bool ).

tff('#skF_201',type,
    '#skF_201': fun_nat_bool > nat ).

tff(hAPP_f1926459811ol_int,type,
    hAPP_f1926459811ol_int: ( fun_fu1814991441ol_int * fun_int_int ) > fun_fun_int_bool_int ).

tff('#skF_353',type,
    '#skF_353': ( fun_real_real * real * real * real * real ) > real ).

tff(hAPP_f1731308757nt_int,type,
    hAPP_f1731308757nt_int: ( fun_fu751079485nt_int * fun_fu2102390523nt_int ) > fun_fu1151120955nt_int ).

tff(image_275383677t_bool,type,
    image_275383677t_bool: ( fun_int_fun_int_bool * fun_int_bool ) > fun_fu819804446l_bool ).

tff(cOMBC_1964283556nt_int,type,
    cOMBC_1964283556nt_int: fun_fu2104383023nt_int ).

tff('#skF_17',type,
    '#skF_17': ( fun_rat_bool * rat ) > rat ).

tff(cOMBB_95956018ol_int,type,
    cOMBB_95956018ol_int: fun_fu916648827t_bool ).

tff('#skF_86',type,
    '#skF_86': ( fun_nat_bool * nat * nat ) > nat ).

tff(hAPP_f704188951t_bool,type,
    hAPP_f704188951t_bool: ( fun_fu2018039801t_bool * fun_re1979725814t_bool ) > fun_re1058169246t_bool ).

tff('#skF_270',type,
    '#skF_270': fun_Pr1127657839l_bool > real ).

tff('#skF_144',type,
    '#skF_144': ( real * real * real ) > real ).

tff('#skF_366',type,
    '#skF_366': ( fun_nat_real * real ) > nat ).

tff('#skF_31',type,
    '#skF_31': ( real * nat ) > real ).

tff('#skF_453',type,
    '#skF_453': fun_nat_real > nat ).

tff(nat_gcd,type,
    nat_gcd: nat > fun_nat_nat ).

tff('#skF_501',type,
    '#skF_501': ( int * int * int * fun_int_bool * int ) > int ).

tff(hAPP_int_rat,type,
    hAPP_int_rat: ( fun_int_rat * int ) > rat ).

tff(hAPP_f1607917947l_real,type,
    hAPP_f1607917947l_real: ( fun_fu380422627l_real * fun_real_bool ) > fun_re1761459671l_real ).

tff(sgn_sgn_real,type,
    sgn_sgn_real: fun_real_real ).

tff('#skF_143',type,
    '#skF_143': ( nat * nat * fun_nat_real ) > nat ).

tff('#skF_185',type,
    '#skF_185': ( fun_real_real * real * real ) > real ).

tff('#skF_195',type,
    '#skF_195': ( real * real ) > real ).

tff('#skF_153',type,
    '#skF_153': ( int * fun_nat_int * nat * nat ) > nat ).

tff(cOMBB_1453147152l_real,type,
    cOMBB_1453147152l_real: fun_fu985846175t_bool ).

tff(hAPP_i688218208l_bool,type,
    hAPP_i688218208l_bool: ( fun_in1251377736l_bool * int ) > fun_real_bool ).

tff(cOMBB_984071017l_real,type,
    cOMBB_984071017l_real: fun_fu1229655383t_bool ).

tff(frac,type,
    frac: fun_Pr974702441t_bool ).

tff('#skF_519',type,
    '#skF_519': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff('#skF_299',type,
    '#skF_299': ( int * int * int ) > int ).

tff(hAPP_f737665877t_bool,type,
    hAPP_f737665877t_bool: ( fun_fu1532576183t_bool * fun_nat_real ) > fun_nat_bool ).

tff(hAPP_f747475781nt_int,type,
    hAPP_f747475781nt_int: ( fun_fu200534695nt_int * fun_fu1379407829nt_int ) > fun_fu30999661nt_int ).

tff(hAPP_f1048215610t_bool,type,
    hAPP_f1048215610t_bool: ( fun_fu380257692t_bool * fun_int_bool ) > fun_int_fun_int_bool ).

tff(quadRes,type,
    quadRes: fun_int_fun_int_bool ).

tff(hAPP_f1052840010omplex,type,
    hAPP_f1052840010omplex: ( fun_fu1913390252omplex * fun_na1566252557omplex ) > fun_fu1853665082omplex ).

tff('#skF_89',type,
    '#skF_89': ( fun_nat_bool * nat * nat ) > nat ).

tff('#skF_179',type,
    '#skF_179': real > real ).

tff(cOMBS_1470252563nt_int,type,
    cOMBS_1470252563nt_int: fun_fu1004947300nt_int ).

tff(hAPP_f512004221l_bool,type,
    hAPP_f512004221l_bool: ( fun_fu416675807l_bool * fun_fu1230750243l_bool ) > fun_fu1562258007l_bool ).

tff('#skF_452',type,
    '#skF_452': ( fun_Pr1127657839l_bool * real * real ) > real ).

tff(cOMBB_882763271l_real,type,
    cOMBB_882763271l_real: fun_fu1211077835l_real ).

tff('#skF_42',type,
    '#skF_42': ( nat * nat ) > nat ).

tff(hAPP_f1965248563t_bool,type,
    hAPP_f1965248563t_bool: ( fun_fu1119133205t_bool * fun_Pr189909033l_bool ) > fun_Pr1254492423t_bool ).

tff(tendsto_nat_complex,type,
    tendsto_nat_complex: ( fun_nat_complex * complex * filter_nat ) > bool ).

tff(power_power_nat,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(accp_P2006205492nt_int,type,
    accp_P2006205492nt_int: fun_Pr313471731t_bool > fun_Pr974702441t_bool ).

tff(cOMBB_bool_bool_int,type,
    cOMBB_bool_bool_int: fun_fu1909738875t_bool ).

tff(hAPP_f465821005nt_int,type,
    hAPP_f465821005nt_int: ( fun_fu2104383023nt_int * fun_in1111845413nt_int ) > fun_in1111845413nt_int ).

tff(hAPP_r794344869l_real,type,
    hAPP_r794344869l_real: ( fun_re69907033l_real * real ) > fun_re1761459671l_real ).

tff(hAPP_f892584630t_bool,type,
    hAPP_f892584630t_bool: ( fun_fu1337909610t_bool * fun_Pr480351984nt_int ) > fun_Pr974702441t_bool ).

tff(multInv,type,
    multInv: int > fun_int_int ).

tff('#skF_79',type,
    '#skF_79': ( fun_int_bool * int * int ) > int ).

tff(hAPP_real_real,type,
    hAPP_real_real: ( fun_real_real * real ) > real ).

tff('#skF_130',type,
    '#skF_130': nat > nat ).

tff(abs_abs_int,type,
    abs_abs_int: fun_int_int ).

tff(hAPP_f1198736473t_bool,type,
    hAPP_f1198736473t_bool: ( fun_fu550659463t_bool * fun_Pr2144253564nt_int ) > fun_Pr820506994t_bool ).

tff(hAPP_f1148171384nt_int,type,
    hAPP_f1148171384nt_int: ( fun_fu1574148012nt_int * fun_in2003698982nt_int ) > fun_in2124216673nt_int ).

tff(finite1876863882t_bool,type,
    finite1876863882t_bool: fun_fu236049833ol_nat ).

tff('#skF_254',type,
    '#skF_254': nat > nat ).

tff(hAPP_P621635040nt_int,type,
    hAPP_P621635040nt_int: ( fun_Pr1238001172nt_int * product_prod_int_int ) > fun_in989261322nt_int ).

tff('#skF_347',type,
    '#skF_347': ( fun_nat_bool * nat ) > nat ).

tff(ratreal,type,
    ratreal: rat > real ).

tff(ord_less_int,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(norm_norm_complex,type,
    norm_norm_complex: fun_complex_real ).

tff('#skF_180',type,
    '#skF_180': real > nat ).

tff(hAPP_f2002277285nt_int,type,
    hAPP_f2002277285nt_int: ( fun_fu156492935nt_int * fun_in2003698982nt_int ) > fun_fu976112124nt_int ).

tff(ord_le1568362934t_bool,type,
    ord_le1568362934t_bool: fun_fu1217155507l_bool ).

tff(hAPP_C10902773l_bool,type,
    hAPP_C10902773l_bool: ( fun_Co1372573603l_bool * code_code_numeral ) > fun_Co1584449344l_bool ).

tff(divmod_nat,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(sgn_sgn_int,type,
    sgn_sgn_int: fun_int_int ).

tff(hAPP_f93439879ol_nat,type,
    hAPP_f93439879ol_nat: ( fun_fu1721998267ol_nat * fun_fun_int_bool_nat ) > fun_fu236049833ol_nat ).

tff('#skF_272',type,
    '#skF_272': ( fun_Pr1127657839l_bool * real ) > real ).

tff(divmod_nat_rel,type,
    divmod_nat_rel: ( nat * nat ) > fun_Pr1927655017t_bool ).

tff('#skF_470',type,
    '#skF_470': ( int * fun_int_bool * int * int ) > int ).

tff(quickc666637781d_zero,type,
    quickc666637781d_zero: int > list_int ).

tff('#skF_3',type,
    '#skF_3': int ).

tff(cOMBB_1875755114nt_int,type,
    cOMBB_1875755114nt_int: fun_fu100404029nt_int ).

tff(hAPP_f677014621l_real,type,
    hAPP_f677014621l_real: ( fun_fu1574854795l_real * fun_re1414183599l_real ) > fun_fu1403389123l_real ).

tff('#skF_407',type,
    '#skF_407': ( nat * fun_na182379510l_real * fun_real_real * real ) > real ).

tff(cOMBB_1121934354l_real,type,
    cOMBB_1121934354l_real: fun_fu539349981l_bool ).

tff(hAPP_f292751352t_real,type,
    hAPP_f292751352t_real: ( fun_fu1709053786t_real * fun_nat_fun_nat_bool ) > fun_nat_real ).

tff(nat_1,type,
    nat_1: fun_int_nat ).

tff('#skF_440',type,
    '#skF_440': rat > int ).

tff(hAPP_f461489489t_bool,type,
    hAPP_f461489489t_bool: ( fun_fu1257888773t_bool * fun_Pr189909033l_bool ) > fun_fu2112443261t_bool ).

tff(hAPP_f1352333353l_real,type,
    hAPP_f1352333353l_real: ( fun_fu859852125l_real * fun_int_real ) > fun_in7315610l_real ).

tff(quickcheck_of_int,type,
    quickcheck_of_int: fun_in1505040589de_int ).

tff(hAPP_f1840085295t_bool,type,
    hAPP_f1840085295t_bool: ( fun_fu2131001617t_bool * fun_re413263731l_bool ) > fun_re1091407545t_bool ).

tff(cOMBS_549334880nt_rat,type,
    cOMBS_549334880nt_rat: fun_fu1887196079nt_rat ).

tff(cOMBB_550562460ol_int,type,
    cOMBB_550562460ol_int: fun_fu2037535261t_bool ).

tff(hAPP_f381769257l_bool,type,
    hAPP_f381769257l_bool: ( fun_fu1562258007l_bool * fun_re386138607t_bool ) > fun_re1598305103l_bool ).

tff(cOMBB_nat_nat_nat,type,
    cOMBB_nat_nat_nat: fun_fu1179887677at_nat ).

tff(hAPP_f1273270095t_bool,type,
    hAPP_f1273270095t_bool: ( fun_fu1991142839t_bool * fun_fu201758811t_bool ) > fun_fu1119133205t_bool ).

tff(hAPP_P252494982t_bool,type,
    hAPP_P252494982t_bool: ( fun_Pr1149636328t_bool * product_prod_int_int ) > fun_int_bool ).

tff(min,type,
    min: int ).

tff(fEx_nat,type,
    fEx_nat: fun_fu425979586l_bool ).

tff(hAPP_f403082607t_bool,type,
    hAPP_f403082607t_bool: ( fun_fu1229655383t_bool * fun_fu1861895035t_bool ) > fun_fu1045264469t_bool ).

tff(hAPP_int_fun_int_rat,type,
    hAPP_int_fun_int_rat: ( fun_int_fun_int_rat * int ) > fun_int_rat ).

tff('#skF_459',type,
    '#skF_459': ( fun_nat_bool * nat ) > nat ).

tff(hAPP_f2069516469l_real,type,
    hAPP_f2069516469l_real: ( fun_fu647765353l_real * fun_re229243589l_real ) > fun_fu1564476029l_real ).

tff('#skF_489',type,
    '#skF_489': ( int * fun_int_bool * int * int ) > int ).

tff('#skF_239',type,
    '#skF_239': real ).

tff(cOMBB_2087181719ol_int,type,
    cOMBB_2087181719ol_int: fun_fu1743937405t_bool ).

tff('#skF_138',type,
    '#skF_138': nat > nat ).

tff(div_mo231679042de_int,type,
    div_mo231679042de_int: quickcheck_code_int > fun_Qu812286141de_int ).

tff(big_co604158596t_real,type,
    big_co604158596t_real: fun_fu705349683l_real ).

tff(hAPP_f999082675at_nat,type,
    hAPP_f999082675at_nat: ( fun_fu202598805at_nat * fun_na257798253at_nat ) > fun_fu1370325315at_nat ).

tff(uminus473333897omplex,type,
    uminus473333897omplex: fun_complex_complex ).

tff(fequal_rat,type,
    fequal_rat: fun_rat_fun_rat_bool ).

tff(ord_gr660468384an_nat,type,
    ord_gr660468384an_nat: nat > fun_nat_fun_nat_bool ).

tff('#skF_236',type,
    '#skF_236': real ).

tff('#skF_116',type,
    '#skF_116': ( nat * fun_nat_bool * nat ) > nat ).

tff(hAPP_f1222178131t_bool,type,
    hAPP_f1222178131t_bool: ( fun_fu806471093t_bool * fun_int_fun_nat_real ) > fun_int_fun_nat_bool ).

tff('#skF_512',type,
    '#skF_512': ( rat * fun_nat_rat ) > nat ).

tff(zero_zero_real,type,
    zero_zero_real: real ).

tff(hAPP_r224952523l_real,type,
    hAPP_r224952523l_real: ( fun_re1233422975l_real * real ) > fun_fu1589711101l_real ).

tff('#skF_283',type,
    '#skF_283': fun_nat_real > nat ).

tff(cOMBB_2125215742l_real,type,
    cOMBB_2125215742l_real: fun_fu1082601339t_bool ).

tff(hAPP_r1900510169t_bool,type,
    hAPP_r1900510169t_bool: ( fun_rat_fun_int_bool * rat ) > fun_int_bool ).

tff(iszero_int,type,
    iszero_int: fun_int_bool ).

tff(cOMBB_690122963l_real,type,
    cOMBB_690122963l_real: fun_fu429916689t_bool ).

tff(sums_real,type,
    sums_real: fun_nat_real > fun_real_bool ).

tff(cOMBB_782625832nt_int,type,
    cOMBB_782625832nt_int: fun_fu1073653253nt_int ).

tff('#skF_483',type,
    '#skF_483': ( int * fun_int_bool * int * int ) > int ).

tff(dvd_dvd_int,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(hAPP_f729588221t_bool,type,
    hAPP_f729588221t_bool: ( fun_fu1083576549t_bool * fun_in319042876t_bool ) > fun_fu1558043364t_bool ).

tff(semiri984289939at_nat,type,
    semiri984289939at_nat: fun_nat_nat ).

tff(hAPP_b40753821nt_int,type,
    hAPP_b40753821nt_int: ( fun_bo1552468991nt_int * bool ) > fun_Pr1580971581nt_int ).

tff(negDivAlg,type,
    negDivAlg: ( int * int ) > product_prod_int_int ).

tff(hAPP_Q1256397320de_int,type,
    hAPP_Q1256397320de_int: ( fun_Qu78318390de_int * quickcheck_code_int ) > produc167071911de_int ).

tff(hAPP_f492612297t_bool,type,
    hAPP_f492612297t_bool: ( fun_fu1995066539t_bool * fun_int_bool ) > fun_fu1337909610t_bool ).

tff('#skF_105',type,
    '#skF_105': fun_int_bool > nat ).

tff('#skF_214',type,
    '#skF_214': ( fun_int_bool * fun_int_bool * int ) > int ).

tff('#skF_1',type,
    '#skF_1': int ).

tff(hAPP_f1073644437at_rat,type,
    hAPP_f1073644437at_rat: ( fun_fu474013181at_rat * fun_rat_fun_rat_rat ) > fun_fu1414645928at_rat ).

tff('#skF_338',type,
    '#skF_338': fun_nat_bool > nat ).

tff(suminf_complex,type,
    suminf_complex: fun_fu1930053706omplex ).

tff(cOMBB_188663909l_real,type,
    cOMBB_188663909l_real: fun_fu416675807l_bool ).

tff('#skF_301',type,
    '#skF_301': ( int * int * int ) > int ).

tff('#skF_545',type,
    '#skF_545': ( fun_real_real * real * real ) > real ).

tff('#skF_340',type,
    '#skF_340': fun_nat_bool > nat ).

tff(hAPP_f197974549nt_int,type,
    hAPP_f197974549nt_int: ( fun_fu256365437nt_int * fun_fu1280007140nt_int ) > fun_fu915505700nt_int ).

tff('#skF_471',type,
    '#skF_471': ( int * fun_int_bool * int * int ) > int ).

tff(nat_lcm,type,
    nat_lcm: nat > fun_nat_nat ).

tff(hAPP_f422375781t_bool,type,
    hAPP_f422375781t_bool: ( fun_fu266677575t_bool * fun_re521366895t_bool ) > fun_fu1154989811t_bool ).

tff(big_co1705425894at_nat,type,
    big_co1705425894at_nat: ( fun_nat_nat * fun_nat_bool ) > nat ).

tff(hAPP_i68813070l_bool,type,
    hAPP_i68813070l_bool: ( fun_in531499254l_bool * int ) > fun_bool_bool ).

tff('#skF_518',type,
    '#skF_518': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff(member_real,type,
    member_real: fun_re1865242107l_bool ).

tff('#skF_379',type,
    '#skF_379': ( real * nat ) > real ).

tff(ord_at875362053st_int,type,
    ord_at875362053st_int: int > fun_int_fun_int_bool ).

tff(hAPP_f1081447804nt_int,type,
    hAPP_f1081447804nt_int: ( fun_fu1004947300nt_int * fun_in792564872nt_int ) > fun_fu2104383023nt_int ).

tff('#skF_451',type,
    '#skF_451': ( nat * fun_nat_real ) > nat ).

tff('#skF_48',type,
    '#skF_48': ( nat * nat ) > nat ).

tff('#skF_354',type,
    '#skF_354': ( real * real ) > real ).

tff('#skF_258',type,
    '#skF_258': ( real * real * fun_Pr1127657839l_bool ) > real ).

tff(hAPP_r1409264866l_real,type,
    hAPP_r1409264866l_real: ( fun_re1879328022l_real * real ) > fun_fu95670548l_real ).

tff('#skF_406',type,
    '#skF_406': ( nat * fun_na182379510l_real * fun_real_real * real ) > nat ).

tff('#skF_376',type,
    '#skF_376': ( fun_nat_bool * nat ) > nat ).

tff(hAPP_nat_rat,type,
    hAPP_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff('#skF_548',type,
    '#skF_548': ( fun_real_real * fun_real_real * real * real ) > real ).

tff(collect_real,type,
    collect_real: fun_real_bool > fun_real_bool ).

tff(cOMBB_64450052al_nat,type,
    cOMBB_64450052al_nat: fun_fu1983483971t_real ).

tff(image_nat_nat,type,
    image_nat_nat: ( fun_nat_nat * fun_nat_bool ) > fun_nat_bool ).

tff(sr,type,
    sr: fun_int_fun_int_bool ).

tff(hAPP_f251264923nt_int,type,
    hAPP_f251264923nt_int: ( fun_fu1074651901nt_int * fun_int_bool ) > fun_in941977532nt_int ).

tff('#skF_128',type,
    '#skF_128': ( nat * nat * fun_nat_nat ) > nat ).

tff(power_2100829034umeral,type,
    power_2100829034umeral: fun_Co1868595440umeral ).

tff(cis,type,
    cis: real > complex ).

tff(exp_real,type,
    exp_real: fun_real_real ).

tff(cOMBB_624415285l_real,type,
    cOMBB_624415285l_real: fun_fu124570627l_bool ).

tff('#skF_227',type,
    '#skF_227': ( nat * nat ) > nat ).

tff('#skF_506',type,
    '#skF_506': ( int * int ) > int ).

tff('#skF_117',type,
    '#skF_117': ( nat * real ) > real ).

tff(hAPP_f351634443t_bool,type,
    hAPP_f351634443t_bool: ( fun_fu146728557t_bool * fun_int_fun_int_real ) > fun_int_fun_int_bool ).

tff(normalize,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(hAPP_f517738447l_real,type,
    hAPP_f517738447l_real: ( fun_fu746286897l_real * fun_re413263731l_bool ) > fun_re69907033l_real ).

tff(cOMBS_2019229620nt_int,type,
    cOMBS_2019229620nt_int: fun_fu1660428975nt_int ).

tff('#skF_493',type,
    '#skF_493': ( fun_int_bool * int ) > int ).

tff('#skF_9',type,
    '#skF_9': ( fun_Co1584449344l_bool * code_code_numeral ) > code_code_numeral ).

tff('#skF_405',type,
    '#skF_405': ( fun_na182379510l_real * fun_real_real * nat * real ) > real ).

tff(hAPP_f326728547t_bool,type,
    hAPP_f326728547t_bool: ( fun_fu1074799947t_bool * fun_fu2112443261t_bool ) > fun_fu1859693515t_bool ).

tff('#skF_358',type,
    '#skF_358': ( real * real * real * fun_real_bool ) > real ).

tff('#skF_235',type,
    '#skF_235': code_code_numeral > code_code_numeral ).

tff('#skF_261',type,
    '#skF_261': ( fun_int_bool * int ) > int ).

tff('#skF_352',type,
    '#skF_352': ( real * real ) > real ).

tff('#skF_5',type,
    '#skF_5': int ).

tff(produc883642259nt_int,type,
    produc883642259nt_int: fun_Pr668393395nt_int ).

tff(hAPP_f416620757at_nat,type,
    hAPP_f416620757at_nat: ( fun_fu522653757at_nat * fun_nat_fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff('#skF_450',type,
    '#skF_450': ( nat * fun_nat_real ) > nat ).

tff(setS,type,
    setS: ( int * int ) > fun_fu819804446l_bool ).

tff(cOMBC_824100275t_real,type,
    cOMBC_824100275t_real: fun_fu2042306533t_real ).

tff('#skF_71',type,
    '#skF_71': ( fun_int_fun_int_bool * int * int ) > int ).

tff(cOMBB_real_real_int,type,
    cOMBB_real_real_int: fun_fu2064567419t_real ).

tff('#skF_533',type,
    '#skF_533': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff(hAPP_f1187443546t_bool,type,
    hAPP_f1187443546t_bool: ( fun_fu104040328t_bool * fun_Pr2144253564nt_int ) > fun_Pr313471731t_bool ).

tff(collec50511176nt_int,type,
    collec50511176nt_int: fun_Pr1333588703t_bool > fun_Pr1333588703t_bool ).

tff(hAPP_n546711566l_real,type,
    hAPP_n546711566l_real: ( fun_na182379510l_real * nat ) > fun_real_real ).

tff('#skF_417',type,
    '#skF_417': ( nat * real * fun_na182379510l_real * fun_real_real ) > real ).

tff(hAPP_f1323932638t_real,type,
    hAPP_f1323932638t_real: ( fun_fu1656153920t_real * fun_int_real ) > fun_int_fun_int_real ).

tff(tendst1507391555omplex,type,
    tendst1507391555omplex: ( fun_complex_complex * complex * filter_complex ) > bool ).

tff(ord_gr1297742076an_int,type,
    ord_gr1297742076an_int: int > fun_int_fun_int_bool ).

tff(hAPP_n1699378549t_bool,type,
    hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(cOMBB_1896127834l_real,type,
    cOMBB_1896127834l_real: fun_fu1694240369l_real ).

tff(produc494345619at_nat,type,
    produc494345619at_nat: fun_Pr1071803827at_nat ).

tff(cOMBS_163651580l_real,type,
    cOMBS_163651580l_real: fun_fu1943305629l_real ).

tff(div_div_int,type,
    div_div_int: fun_int_fun_int_int ).

tff(cOMBB_1934313333l_real,type,
    cOMBB_1934313333l_real: fun_fu1735231789l_real ).

tff('#skF_248',type,
    '#skF_248': ( nat * nat ) > nat ).

tff('#skF_271',type,
    '#skF_271': fun_Pr1127657839l_bool > real ).

tff(cOMBB_1247074793l_real,type,
    cOMBB_1247074793l_real: fun_fu150535243t_bool ).

tff('#skF_425',type,
    '#skF_425': ( real * fun_nat_real ) > nat ).

tff(ord_lessThan_real,type,
    ord_lessThan_real: fun_re413263731l_bool ).

tff(hAPP_f23851874omplex,type,
    hAPP_f23851874omplex: ( fun_fu221716676omplex * fun_nat_real ) > fun_na1566252557omplex ).

tff(produc865579683l_real,type,
    produc865579683l_real: fun_re1550493891l_real ).

tff(power_power_real,type,
    power_power_real: fun_re1927296998t_real ).

tff('#skF_514',type,
    '#skF_514': ( fun_nat_rat * nat ) > nat ).

tff(hAPP_f214467655t_bool,type,
    hAPP_f214467655t_bool: ( fun_fu608458793t_bool * fun_int_fun_int_bool ) > fun_fu686082665t_bool ).

tff(nat_aux,type,
    nat_aux: int > fun_nat_nat ).

tff(cOMBC_736024425nt_int,type,
    cOMBC_736024425nt_int: fun_fu401420093nt_int ).

tff('#skF_98',type,
    '#skF_98': ( nat * nat * nat ) > nat ).

tff('#skF_181',type,
    '#skF_181': ( fun_real_real * real * real * real ) > real ).

tff(semiri1619134803umeral,type,
    semiri1619134803umeral: fun_na1360402045umeral ).

tff('#skF_206',type,
    '#skF_206': ( int * fun_int_bool * int ) > int ).

tff('#skF_491',type,
    '#skF_491': ( fun_int_bool * int ) > int ).

tff(hAPP_f1344929775l_bool,type,
    hAPP_f1344929775l_bool: ( fun_fu1230750243l_bool * fun_int_fun_int_bool ) > fun_in397122125l_bool ).

tff(hAPP_i1796122964t_bool,type,
    hAPP_i1796122964t_bool: ( fun_in319042876t_bool * int ) > fun_fu821463397t_bool ).

tff('#skF_547',type,
    '#skF_547': ( fun_real_real * real * real ) > real ).

tff(hAPP_f1582586579nt_int,type,
    hAPP_f1582586579nt_int: ( fun_fu1857222709nt_int * fun_in941977532nt_int ) > fun_Pr1238001172nt_int ).

tff('#skF_335',type,
    '#skF_335': ( int * int ) > int ).

tff(finite_card_int,type,
    finite_card_int: fun_fun_int_bool_nat ).

tff('#skF_334',type,
    '#skF_334': ( fun_int_fun_int_bool * int * int ) > int ).

tff(arctan,type,
    arctan: fun_real_real ).

tff(hAPP_f229349961t_bool,type,
    hAPP_f229349961t_bool: ( fun_fu1733046955t_bool * fun_nat_fun_nat_bool ) > fun_nat_fun_nat_bool ).

tff(ord_less_real,type,
    ord_less_real: fun_re413263731l_bool ).

tff(cOMBC_int_nat_int,type,
    cOMBC_int_nat_int: fun_fu936814653nt_int ).

tff(dvd_dvd_rat,type,
    dvd_dvd_rat: fun_rat_fun_rat_bool ).

tff('#skF_474',type,
    '#skF_474': ( int * fun_int_bool * int * int ) > int ).

tff('#skF_434',type,
    '#skF_434': ( int * int ) > int ).

tff(hAPP_f1629352853nt_int,type,
    hAPP_f1629352853nt_int: ( fun_fu428587005nt_int * fun_int_fun_int_int ) > fun_fu442799956nt_int ).

tff('#skF_115',type,
    '#skF_115': int > int ).

tff(hAPP_f352196356l_real,type,
    hAPP_f352196356l_real: ( fun_fu1122561126l_real * fun_nat_real ) > real ).

tff('#skF_162',type,
    '#skF_162': real > real ).

tff(cOMBS_696648398omplex,type,
    cOMBS_696648398omplex: fun_fu1913390252omplex ).

tff(s,type,
    s: int ).

tff(sequentially,type,
    sequentially: filter_nat ).

tff('#skF_66',type,
    '#skF_66': ( nat * nat ) > nat ).

tff('#skF_108',type,
    '#skF_108': ( nat * nat ) > nat ).

tff(cOMBB_1418110531ol_int,type,
    cOMBB_1418110531ol_int: fun_fu1671602619t_bool ).

tff('#skF_326',type,
    '#skF_326': nat > nat ).

tff('#skF_174',type,
    '#skF_174': nat > nat ).

tff(zero_z891286103de_int,type,
    zero_z891286103de_int: quickcheck_code_int ).

tff(plus_plus_int,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(hAPP_P752050971nt_int,type,
    hAPP_P752050971nt_int: ( fun_Pr642042703nt_int * product_prod_int_int ) > fun_fu1494809157nt_int ).

tff('#skF_39',type,
    '#skF_39': ( nat * nat * fun_nat_nat ) > nat ).

tff(hAPP_f269654879t_real,type,
    hAPP_f269654879t_real: ( fun_fu645688257t_real * fun_int_real ) > fun_int_real ).

tff(cOMBB_415306361l_real,type,
    cOMBB_415306361l_real: fun_fu117737819l_real ).

tff('#skF_14',type,
    '#skF_14': ( fun_complex_bool * complex ) > complex ).

tff('#skF_18',type,
    '#skF_18': ( fun_rat_bool * rat ) > rat ).

tff('#skF_285',type,
    '#skF_285': ( fun_nat_real * nat ) > nat ).

tff(hAPP_f1131305186at_rat,type,
    hAPP_f1131305186at_rat: ( fun_fu941266250at_rat * fun_nat_fun_rat_rat ) > fun_fu2096040829at_rat ).

tff(cOMBB_bool_bool_nat,type,
    cOMBB_bool_bool_nat: fun_fu1509210819t_bool ).

tff('#skF_252',type,
    '#skF_252': ( nat * nat ) > nat ).

tff(hAPP_f2042071795t_bool,type,
    hAPP_f2042071795t_bool: ( fun_fu1389550933t_bool * fun_fu686082665t_bool ) > fun_fu550659463t_bool ).

tff(tendsto_complex_real,type,
    tendsto_complex_real: ( fun_complex_real * real * filter_complex ) > bool ).

tff(hAPP_f521865025ol_nat,type,
    hAPP_f521865025ol_nat: ( fun_fu236049833ol_nat * fun_fu819804446l_bool ) > nat ).

tff(cOMBB_nat_bool_int,type,
    cOMBB_nat_bool_int: fun_fu1792033211t_bool ).

tff('#skF_95',type,
    '#skF_95': ( fun_int_fun_int_bool * int * int ) > int ).

tff(big_co1024481617at_int,type,
    big_co1024481617at_int: fun_fu2134752009ol_int ).

tff(semiri2020571505omplex,type,
    semiri2020571505omplex: fun_nat_complex ).

tff(succ,type,
    succ: fun_int_int ).

tff(re,type,
    re: fun_complex_real ).

tff('#skF_260',type,
    '#skF_260': ( real * real * fun_Pr1127657839l_bool ) > real ).

tff(number267125858f_real,type,
    number267125858f_real: fun_int_real ).

tff(inverse_inverse_rat,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(int_lcm,type,
    int_lcm: int > fun_int_int ).

tff('#skF_464',type,
    '#skF_464': ( fun_real_real * real * real ) > real ).

tff(times_times_nat,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(cOMBB_real_real_nat,type,
    cOMBB_real_real_nat: fun_fu1138019779t_real ).

tff('#skF_228',type,
    '#skF_228': complex > complex ).

tff(code_d418564891umeral,type,
    code_d418564891umeral: ( code_code_numeral * code_code_numeral ) > produc1359518119umeral ).

tff(hAPP_f918606171t_real,type,
    hAPP_f918606171t_real: ( fun_fu1983483971t_real * fun_Pr608224961l_real ) > fun_fu2095711751t_real ).

tff('#skF_83',type,
    '#skF_83': fun_nat_bool > nat ).

tff(hAPP_f1448486952t_bool,type,
    hAPP_f1448486952t_bool: ( fun_fu1224477654t_bool * fun_int_nat ) > fun_int_bool ).

tff(hAPP_f301246617nt_int,type,
    hAPP_f301246617nt_int: ( fun_fu371616507nt_int * fun_Pr2134412615nt_int ) > fun_Pr642042703nt_int ).

tff('#skF_502',type,
    '#skF_502': ( int * int * int * fun_int_bool * int ) > int ).

tff(member_fun_int_bool,type,
    member_fun_int_bool: fun_fu1637550549l_bool ).

tff(produc713279741t_bool,type,
    produc713279741t_bool: fun_fu497932381t_bool ).

tff(cOMBS_1640193733nt_int,type,
    cOMBS_1640193733nt_int: fun_fu1594210934nt_int ).

tff(hAPP_f1109256153l_real,type,
    hAPP_f1109256153l_real: ( fun_fu463555643l_real * fun_fu1698495721l_real ) > fun_fu480930797l_real ).

tff(hAPP_f1735705551nt_int,type,
    hAPP_f1735705551nt_int: ( fun_fu1086065329nt_int * fun_in2003698982nt_int ) > fun_in2003698982nt_int ).

tff(hAPP_r1392521531t_bool,type,
    hAPP_r1392521531t_bool: ( fun_re521366895t_bool * real ) > fun_fu146728557t_bool ).

tff('#skF_307',type,
    '#skF_307': ( int * int * int * int * int ) > int ).

tff('#skF_264',type,
    '#skF_264': ( real * real * fun_Pr1127657839l_bool ) > real ).

tff(inv,type,
    inv: int > fun_int_int ).

tff(produc1922581855t_bool,type,
    produc1922581855t_bool: fun_nat_fun_nat_bool > fun_Pr1927655017t_bool ).

tff('#skF_492',type,
    '#skF_492': ( fun_int_bool * int ) > int ).

tff(fequal_real,type,
    fequal_real: fun_re413263731l_bool ).

tff('#skF_330',type,
    '#skF_330': ( fun_int_fun_int_bool * int * int ) > int ).

tff('#skF_175',type,
    '#skF_175': real > nat ).

tff(hAPP_f54304608l_bool,type,
    hAPP_f54304608l_bool: ( fun_fu425979586l_bool * fun_nat_bool ) > bool ).

tff(number1443263063umeral,type,
    number1443263063umeral: fun_in1022115617umeral ).

tff(norRRset,type,
    norRRset: fun_int_fun_int_bool ).

tff(hAPP_f1594865479ol_int,type,
    hAPP_f1594865479ol_int: ( fun_fun_int_bool_int * fun_int_bool ) > int ).

tff(hAPP_f429935748t_bool,type,
    hAPP_f429935748t_bool: ( fun_fu205926450t_bool * fun_int_int ) > fun_int_bool ).

tff('#skF_532',type,
    '#skF_532': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff('#skF_16',type,
    '#skF_16': ( fun_Qu817627884t_bool * quickcheck_code_int ) > quickcheck_code_int ).

tff(cOMBB_1846624359nt_int,type,
    cOMBB_1846624359nt_int: fun_fu156492935nt_int ).

tff(fEx_int,type,
    fEx_int: fun_fu819804446l_bool ).

tff('#skF_238',type,
    '#skF_238': real ).

tff('#skF_92',type,
    '#skF_92': ( fun_int_fun_int_bool * int * int ) > int ).

tff('#skF_487',type,
    '#skF_487': ( int * fun_int_bool * int * int ) > int ).

tff(produc556554744l_real,type,
    produc556554744l_real: fun_Pr608224961l_real ).

tff(hilbert_Eps_int,type,
    hilbert_Eps_int: fun_int_bool > int ).

tff(hAPP_f782000547ol_nat,type,
    hAPP_f782000547ol_nat: ( fun_fu990052945ol_nat * fun_nat_nat ) > fun_fun_nat_bool_nat ).

tff(ord_max_nat,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(summable_real,type,
    summable_real: fun_nat_real > bool ).

tff('#skF_374',type,
    '#skF_374': ( fun_nat_bool * nat ) > nat ).

tff(cOMBB_170828966nt_int,type,
    cOMBB_170828966nt_int: fun_fu55588037nt_rat ).

tff(hAPP_f643658017l_bool,type,
    hAPP_f643658017l_bool: ( fun_fu805285123l_bool * fun_fu2104074051l_bool ) > fun_fu970548443l_bool ).

tff(div_mod_int,type,
    div_mod_int: int > fun_int_int ).

tff('#skF_183',type,
    '#skF_183': ( real * fun_real_real * real * real ) > real ).

tff(hAPP_f2072293513l_real,type,
    hAPP_f2072293513l_real: ( fun_fu1771472235l_real * fun_re1550493891l_real ) > fun_re1550493891l_real ).

tff(at_complex,type,
    at_complex: complex > filter_complex ).

tff(hAPP_f499530369l_bool,type,
    hAPP_f499530369l_bool: ( fun_fu1429059939l_bool * fun_re413263731l_bool ) > fun_fu1898336267l_bool ).

tff(hAPP_f151095827nt_int,type,
    hAPP_f151095827nt_int: ( fun_fu2102390523nt_int * fun_Pr241715507nt_int ) > fun_fu1086065329nt_int ).

tff('#skF_53',type,
    '#skF_53': ( int * int ) > int ).

tff(hAPP_P408881810nt_int,type,
    hAPP_P408881810nt_int: ( fun_Pr1076553414nt_int * product_prod_int_int ) > produc393999548nt_int ).

tff('#skF_536',type,
    '#skF_536': ( real * fun_nat_real ) > nat ).

tff(ring_1_of_int_real,type,
    ring_1_of_int_real: fun_int_real ).

tff(hAPP_f1295083291t_real,type,
    hAPP_f1295083291t_real: ( fun_fu860601347t_real * fun_in7315610l_real ) > fun_in464278240t_real ).

tff('#skF_552',type,
    '#skF_552': ( fun_real_real * fun_real_real * real * real ) > real ).

tff('#skF_478',type,
    '#skF_478': ( int * fun_int_bool * int * int ) > int ).

tff('#skF_114',type,
    '#skF_114': int > int ).

tff(hAPP_f605995867t_bool,type,
    hAPP_f605995867t_bool: ( fun_fu1635948867t_bool * fun_real_bool ) > fun_fu1532576183t_bool ).

tff(cOMBS_107495110l_real,type,
    cOMBS_107495110l_real: fun_fu1574854795l_real ).

tff('#skF_351',type,
    '#skF_351': real > nat ).

tff(cOMBB_rat_bool_int,type,
    cOMBB_rat_bool_int: fun_fu1989863883t_bool ).

tff(negateSnd,type,
    negateSnd: fun_Pr241715507nt_int ).

tff(m,type,
    m: int ).

tff(number_number_of_rat,type,
    number_number_of_rat: fun_int_rat ).

tff('#skF_76',type,
    '#skF_76': ( fun_int_bool * int * int ) > int ).

tff('#skF_302',type,
    '#skF_302': ( int * int ) > int ).

tff(produc1935615926l_real,type,
    produc1935615926l_real: fun_Pr608224961l_real ).

tff(plus_plus_complex,type,
    plus_plus_complex: fun_co822197010omplex ).

tff(one_on1645066479umeral,type,
    one_on1645066479umeral: code_code_numeral ).

tff(hAPP_f908327869t_bool,type,
    hAPP_f908327869t_bool: ( fun_fu1541392415t_bool * fun_fu205926450t_bool ) > fun_fu326650760t_bool ).

tff(hAPP_r632163725t_bool,type,
    hAPP_r632163725t_bool: ( fun_re386138607t_bool * real ) > fun_int_fun_int_bool ).

tff('#skF_313',type,
    '#skF_313': ( int * int ) > int ).

tff(hAPP_f1646117269omplex,type,
    hAPP_f1646117269omplex: ( fun_fu521937661omplex * fun_nat_complex ) > fun_nat_complex ).

tff(hAPP_i627165055t_real,type,
    hAPP_i627165055t_real: ( fun_int_fun_int_real * int ) > fun_int_real ).

tff(hAPP_f264196187l_real,type,
    hAPP_f264196187l_real: ( fun_fu1646085827l_real * fun_bo1998411783l_real ) > fun_fu609812941l_real ).

tff('#skF_267',type,
    '#skF_267': ( real * real * fun_Pr1127657839l_bool * real ) > real ).

tff(hAPP_f888249301nt_int,type,
    hAPP_f888249301nt_int: ( fun_fu100404029nt_int * fun_fu1480724285nt_int ) > fun_fu1409241085nt_int ).

tff('#skF_462',type,
    '#skF_462': ( fun_nat_bool * nat ) > nat ).

tff(cOMBB_2046938128ol_int,type,
    cOMBB_2046938128ol_int: fun_fu805285123l_bool ).

tff('#skF_367',type,
    '#skF_367': ( fun_nat_real * fun_nat_real ) > nat ).

tff('#skF_72',type,
    '#skF_72': ( fun_int_bool * int * int ) > int ).

tff(hAPP_f1407095736t_real,type,
    hAPP_f1407095736t_real: ( fun_fu1362233248t_real * fun_real_real ) > fun_re1927296998t_real ).

tff(hAPP_r285062775l_bool,type,
    hAPP_r285062775l_bool: ( fun_re1564496555l_bool * real ) > fun_in1678813097l_bool ).

tff(hAPP_f1781059817t_bool,type,
    hAPP_f1781059817t_bool: ( fun_fu1859693515t_bool * fun_Pr313471731t_bool ) > fun_Pr313471731t_bool ).

tff('#skF_178',type,
    '#skF_178': nat > nat ).

tff(hAPP_f2114902373l_real,type,
    hAPP_f2114902373l_real: ( fun_fu1716108231l_real * fun_re1550493891l_real ) > fun_fu1950887583l_real ).

tff(hAPP_f215623910l_bool,type,
    hAPP_f215623910l_bool: ( fun_fu1540142484l_bool * fun_fu819804446l_bool ) > bool ).

tff(produc1318306967de_int,type,
    produc1318306967de_int: fun_Qu1353705541de_int ).

tff(hAPP_f172451459l_bool,type,
    hAPP_f172451459l_bool: ( fun_fu2024625515l_bool * fun_fu1280874925l_bool ) > fun_fu2107306267l_bool ).

tff('#skF_542',type,
    '#skF_542': ( real * fun_real_real * real * real ) > real ).

tff(hAPP_r195310020l_real,type,
    hAPP_r195310020l_real: ( fun_re1191071736l_real * real ) > fun_na182379510l_real ).

tff(cOMBS_193881978l_real,type,
    cOMBS_193881978l_real: fun_fu1613343649l_real ).

tff(cOMBC_1113900202t_bool,type,
    cOMBC_1113900202t_bool: fun_fu727999887t_bool ).

tff(hAPP_f1914919701at_nat,type,
    hAPP_f1914919701at_nat: ( fun_fu325663101at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(hAPP_f1251097615t_bool,type,
    hAPP_f1251097615t_bool: ( fun_fu1904575089t_bool * fun_int_fun_int_bool ) > fun_in67169585t_bool ).

tff('#skF_350',type,
    '#skF_350': real > nat ).

tff(archim856651990g_real,type,
    archim856651990g_real: real > int ).

tff('#skF_455',type,
    '#skF_455': ( nat * fun_nat_real ) > nat ).

tff(hAPP_f1599440987ol_int,type,
    hAPP_f1599440987ol_int: ( fun_fu2134752009ol_int * fun_nat_int ) > fun_fun_nat_bool_int ).

tff(hAPP_f2050994651t_bool,type,
    hAPP_f2050994651t_bool: ( fun_fu1814137539t_bool * fun_fu1269744292t_bool ) > fun_fu454443562t_bool ).

tff(uminus_uminus_int,type,
    uminus_uminus_int: fun_int_int ).

tff(the_int,type,
    the_int: fun_int_bool > int ).

tff(hAPP_f1884005689l_bool,type,
    hAPP_f1884005689l_bool: ( fun_fu2107306267l_bool * fun_re1550493891l_real ) > fun_re413263731l_bool ).

tff(product_Pair_nat_nat,type,
    product_Pair_nat_nat: fun_na257798253at_nat ).

tff(hAPP_f834119977l_bool,type,
    hAPP_f834119977l_bool: ( fun_fu725782359l_bool * fun_re2063775123t_bool ) > fun_re1564496555l_bool ).

tff('#skF_458',type,
    '#skF_458': fun_nat_real > nat ).

tff('#skF_550',type,
    '#skF_550': ( fun_real_real * fun_real_real * real * real ) > real ).

tff(hAPP_f1457396693omplex,type,
    hAPP_f1457396693omplex: ( fun_fu1232717117omplex * fun_complex_complex ) > fun_fu521937661omplex ).

tff('#skF_475',type,
    '#skF_475': ( int * fun_int_bool * int * int ) > int ).

tff('#skF_230',type,
    '#skF_230': ( int * fun_int_bool ) > int ).

tff(fequal_int,type,
    fequal_int: fun_int_fun_int_bool ).

tff(hAPP_i614188481l_bool,type,
    hAPP_i614188481l_bool: ( fun_in1678813097l_bool * int ) > fun_na1469252690l_bool ).

tff('#skF_312',type,
    '#skF_312': ( int * nat * int * int * int ) > int ).

tff('#skF_213',type,
    '#skF_213': ( fun_int_bool * fun_int_bool * int ) > int ).

tff(nat_neg,type,
    nat_neg: fun_int_bool ).

tff(hAPP_f1998755145t_real,type,
    hAPP_f1998755145t_real: ( fun_fu739403697t_real * fun_fu1719442527t_real ) > fun_fu1294731027t_real ).

tff('#skF_208',type,
    '#skF_208': ( fun_int_bool * fun_int_bool * int ) > int ).

tff(cOMBS_2011279539nt_int,type,
    cOMBS_2011279539nt_int: fun_fu1890158468nt_int ).

tff(hAPP_f800361423l_real,type,
    hAPP_f800361423l_real: ( fun_fu383125559l_real * fun_re785671361l_real ) > fun_fu1074458747l_real ).

tff(size_size_nat,type,
    size_size_nat: fun_nat_nat ).

tff('#skF_61',type,
    '#skF_61': ( code_code_numeral * code_code_numeral ) > code_code_numeral ).

tff(if_Pro1731782967nt_int,type,
    if_Pro1731782967nt_int: fun_bo1552468991nt_int ).

tff(hAPP_f766218899t_real,type,
    hAPP_f766218899t_real: ( fun_fu2064567419t_real * fun_real_real ) > fun_fu645688257t_real ).

tff(cOMBB_2086486755nt_int,type,
    cOMBB_2086486755nt_int: fun_fu1074799947t_bool ).

tff(dvd_dvd_real,type,
    dvd_dvd_real: fun_re413263731l_bool ).

tff(hAPP_f1083049571t_bool,type,
    hAPP_f1083049571t_bool: ( fun_fu663780939t_bool * fun_fu1635948867t_bool ) > fun_fu2131001617t_bool ).

tff(deriv_real,type,
    deriv_real: ( fun_real_real * real ) > fun_real_bool ).

tff(cOMBB_348438404at_nat,type,
    cOMBB_348438404at_nat: fun_fu202598805at_nat ).

tff(zero_z126310315umeral,type,
    zero_z126310315umeral: code_code_numeral ).

tff(hAPP_f1663701695l_real,type,
    hAPP_f1663701695l_real: ( fun_fu45718637l_real * fun_re10870101l_real ) > fun_re1233422975l_real ).

tff(pdivmod,type,
    pdivmod: ( int * int ) > product_prod_int_int ).

tff('#skF_23',type,
    '#skF_23': ( int * int ) > int ).

tff(hAPP_n215258509l_bool,type,
    hAPP_n215258509l_bool: ( fun_na1436237685l_bool * nat ) > fun_fu425979586l_bool ).

tff(bezw,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(cOMBB_929094628al_int,type,
    cOMBB_929094628al_int: fun_fu692492093t_real ).

tff(hAPP_f1512942609t_bool,type,
    hAPP_f1512942609t_bool: ( fun_fu2112913523t_bool * fun_int_bool ) > fun_fu205926450t_bool ).

tff(cOMBB_595786433nt_int,type,
    cOMBB_595786433nt_int: fun_fu1991142839t_bool ).

tff(cOMBB_172850899l_real,type,
    cOMBB_172850899l_real: fun_fu10424993t_bool ).

tff('#skF_40',type,
    '#skF_40': ( nat * nat * fun_nat_nat ) > nat ).

tff('#skF_543',type,
    '#skF_543': ( real * fun_real_real * real * real ) > real ).

tff(hAPP_f340152631t_bool,type,
    hAPP_f340152631t_bool: ( fun_fu985846175t_bool * fun_fu1221449756t_bool ) > fun_fu1197312126t_bool ).

tff('#skF_145',type,
    '#skF_145': ( real * real * real ) > real ).

tff(dvd_dv1760642554de_int,type,
    dvd_dv1760642554de_int: fun_Qu1069098747t_bool ).

tff('#skF_133',type,
    '#skF_133': ( nat * fun_nat_bool * nat ) > nat ).

tff(hAPP_i2112223885l_bool,type,
    hAPP_i2112223885l_bool: ( fun_in938817141l_bool * int ) > fun_fu819804446l_bool ).

tff('#skF_411',type,
    '#skF_411': ( fun_na182379510l_real * fun_real_real * nat * real ) > real ).

tff('#skF_200',type,
    '#skF_200': ( nat * nat ) > nat ).

tff(cOMBC_1805044090nt_int,type,
    cOMBC_1805044090nt_int: fun_fu1080573915nt_int ).

tff(cOMBB_real_bool_int,type,
    cOMBB_real_bool_int: fun_fu1716408315t_bool ).

tff(hAPP_f774948957l_real,type,
    hAPP_f774948957l_real: ( fun_fu1140645055l_real * fun_fu2079587053l_real ) > fun_fu45718637l_real ).

tff(trivial_limit_nat,type,
    trivial_limit_nat: filter_nat > bool ).

tff('#skF_356',type,
    '#skF_356': ( real * real * fun_real_bool ) > real ).

tff('#skF_280',type,
    '#skF_280': ( nat * nat ) > nat ).

tff('#skF_314',type,
    '#skF_314': ( int * int ) > int ).

tff(the_real,type,
    the_real: fun_real_bool > real ).

tff(hAPP_f1585078997at_nat,type,
    hAPP_f1585078997at_nat: ( fun_fu1179887677at_nat * fun_nat_nat ) > fun_fu325663101at_nat ).

tff(nat_gcd_rel,type,
    nat_gcd_rel: fun_Pr465597171t_bool ).

tff('#skF_541',type,
    '#skF_541': ( fun_real_real * fun_real_real * real * real ) > real ).

tff('#skF_309',type,
    '#skF_309': ( int * int * int ) > int ).

tff(sqrt,type,
    sqrt: fun_real_real ).

tff(minus_minus_nat,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(norm_norm_real,type,
    norm_norm_real: fun_real_real ).

tff(dvd_dvd_nat,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(hAPP_Q952608535de_int,type,
    hAPP_Q952608535de_int: ( fun_Qu1353705541de_int * quickcheck_code_int ) > fun_Qu78318390de_int ).

tff(fconj,type,
    fconj: fun_bo1549164019l_bool ).

tff(cOMBB_1946221070al_int,type,
    cOMBB_1946221070al_int: fun_fu733030919l_real ).

tff(number1226105091de_int,type,
    number1226105091de_int: fun_in1505040589de_int ).

tff('#skF_427',type,
    '#skF_427': ( real * real * fun_nat_real ) > nat ).

tff('#skF_29',type,
    '#skF_29': ( fun_nat_bool * nat * nat ) > nat ).

tff(hAPP_r337325687l_real,type,
    hAPP_r337325687l_real: ( fun_re1227808089l_real * real ) > fun_re229243589l_real ).

tff(hAPP_n332733730l_real,type,
    hAPP_n332733730l_real: ( fun_na1745536976l_real * nat ) > produc914805421l_real ).

tff(hAPP_f212164053t_real,type,
    hAPP_f212164053t_real: ( fun_fu692492093t_real * fun_fu1138019779t_real ) > fun_fu860601347t_real ).

tff(product_snd_int_int,type,
    product_snd_int_int: fun_Pr480351984nt_int ).

tff('#skF_461',type,
    '#skF_461': ( fun_nat_bool * nat ) > nat ).

tff(hAPP_f1151807883nt_int,type,
    hAPP_f1151807883nt_int: ( fun_fu1720497139nt_int * fun_fu2013528197nt_int ) > fun_fu371616507nt_int ).

tff(div_mod_nat,type,
    div_mod_nat: nat > fun_nat_nat ).

tff('#skF_444',type,
    '#skF_444': ( nat * fun_fu819804446l_bool ) > fun_int_bool ).

tff(hAPP_P1654798560at_nat,type,
    hAPP_P1654798560at_nat: ( fun_Pr1434736532at_nat * product_prod_nat_nat ) > nat ).

tff('#skF_308',type,
    '#skF_308': ( int * int * int ) > int ).

tff('#skF_10',type,
    '#skF_10': ( fun_Co1584449344l_bool * code_code_numeral ) > code_code_numeral ).

tff(hAPP_complex_nat,type,
    hAPP_complex_nat: ( fun_complex_nat * complex ) > nat ).

tff(hAPP_f1341793266t_bool,type,
    hAPP_f1341793266t_bool: ( fun_fu913790938t_bool * fun_re2063775123t_bool ) > fun_re546217968t_bool ).

tff(hAPP_f2105620693nt_int,type,
    hAPP_f2105620693nt_int: ( fun_fu936814653nt_int * fun_int_fun_nat_int ) > fun_nat_fun_int_int ).

tff(ord_gr788844697n_real,type,
    ord_gr788844697n_real: real > fun_re413263731l_bool ).

tff(comple124823625p_real,type,
    comple124823625p_real: fun_real_bool > real ).

tff('#skF_348',type,
    '#skF_348': fun_nat_bool > nat ).

tff(one_one_rat,type,
    one_one_rat: rat ).

tff(hAPP_complex_bool,type,
    hAPP_complex_bool: ( fun_complex_bool * complex ) > bool ).

tff(member308914164t_bool,type,
    member308914164t_bool: fun_Pr1669804459l_bool ).

tff('#skF_286',type,
    '#skF_286': ( fun_nat_real * nat ) > nat ).

tff('#skF_262',type,
    '#skF_262': ( real * real * fun_Pr1127657839l_bool ) > real ).

tff(cOMBB_599996122l_real,type,
    cOMBB_599996122l_real: fun_fu1315898487t_real ).

tff(pi,type,
    pi: real ).

tff(cOMBB_421479067l_real,type,
    cOMBB_421479067l_real: fun_fu2024625515l_bool ).

tff(hAPP_f66927821l_bool,type,
    hAPP_f66927821l_bool: ( fun_fu1585362869l_bool * fun_nat_nat ) > fun_na1436237685l_bool ).

tff('#skF_154',type,
    '#skF_154': int > nat ).

tff('#skF_38',type,
    '#skF_38': ( fun_int_bool * int * int ) > int ).

tff(hAPP_Q1010094925t_bool,type,
    hAPP_Q1010094925t_bool: ( fun_Qu1069098747t_bool * quickcheck_code_int ) > fun_Qu817627884t_bool ).

tff(hAPP_P1175774780nt_int,type,
    hAPP_P1175774780nt_int: ( fun_Pr480351984nt_int * product_prod_int_int ) > int ).

tff(produc1298267108nt_int,type,
    produc1298267108nt_int: fun_int_fun_int_int > fun_Pr480351984nt_int ).

tff('#skF_303',type,
    '#skF_303': ( int * int * int * int * int * int * int * int * int ) > int ).

tff('#skF_82',type,
    '#skF_82': fun_nat_bool > int ).

tff('#skF_410',type,
    '#skF_410': ( fun_na182379510l_real * fun_real_real * nat * real ) > real ).

tff(posDivAlg_rel,type,
    posDivAlg_rel: fun_Pr313471731t_bool ).

tff(cOMBC_678732631t_bool,type,
    cOMBC_678732631t_bool: fun_fu1083576549t_bool ).

tff(one_on1684967323de_int,type,
    one_on1684967323de_int: quickcheck_code_int ).

tff('#skF_500',type,
    '#skF_500': ( int * int * int * fun_int_bool * int ) > int ).

tff('#skF_346',type,
    '#skF_346': fun_nat_bool > nat ).

tff(cOMBS_nat_real_real,type,
    cOMBS_nat_real_real: fun_fu247819600t_real ).

tff('#skF_529',type,
    '#skF_529': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff(hAPP_f1639111240at_nat,type,
    hAPP_f1639111240at_nat: ( fun_fu2064863920at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(even_odd_even_int,type,
    even_odd_even_int: fun_int_bool ).

tff(hAPP_f1377453843nt_int,type,
    hAPP_f1377453843nt_int: ( fun_fu1667083259nt_int * fun_fu156492935nt_int ) > fun_fu592252421nt_int ).

tff(cOMBB_nat_real_nat,type,
    cOMBB_nat_real_nat: fun_fu1719442527t_real ).

tff(hAPP_i1584592887nt_int,type,
    hAPP_i1584592887nt_int: ( fun_in1111845413nt_int * int ) > fun_in2003698982nt_int ).

tff(hAPP_f1878066172t_bool,type,
    hAPP_f1878066172t_bool: ( fun_fu1359497956t_bool * fun_in719570932t_bool ) > fun_fu257678363t_bool ).

tff('#skF_325',type,
    '#skF_325': ( nat * nat * fun_nat_fun_nat_bool ) > nat ).

tff('#skF_166',type,
    '#skF_166': ( real * real ) > nat ).

tff(big_co1548731110nt_int,type,
    big_co1548731110nt_int: ( fun_int_int * fun_int_bool ) > int ).

tff('#skF_554',type,
    '#skF_554': ( fun_real_real * fun_real_real * real * real ) > real ).

tff(hAPP_f1108539711l_real,type,
    hAPP_f1108539711l_real: ( fun_fu480930797l_real * fun_re665330775l_real ) > fun_re955532029l_real ).

tff('#skF_122',type,
    '#skF_122': int > nat ).

tff(hAPP_f279307923nt_int,type,
    hAPP_f279307923nt_int: ( fun_fu143300987nt_int * fun_bo1552468991nt_int ) > fun_fu1074651901nt_int ).

tff(norm_frac,type,
    norm_frac: ( int * int ) > product_prod_int_int ).

tff('#skF_65',type,
    '#skF_65': ( int * int ) > int ).

tff(hAPP_r373117745t_bool,type,
    hAPP_r373117745t_bool: ( fun_re2063775123t_bool * real ) > fun_int_fun_nat_bool ).

tff(hAPP_P1876494581l_bool,type,
    hAPP_P1876494581l_bool: ( fun_Pr822475479l_bool * produc1322466333at_nat ) > fun_fu791988693l_bool ).

tff('#skF_41',type,
    '#skF_41': ( nat * fun_nat_bool ) > nat ).

tff('#skF_279',type,
    '#skF_279': ( nat * nat ) > nat ).

tff(expi,type,
    expi: complex > complex ).

tff('#skF_22',type,
    '#skF_22': ( fun_nat_bool * nat ) > nat ).

tff(hAPP_r1043989325l_real,type,
    hAPP_r1043989325l_real: ( fun_re1414183599l_real * real ) > fun_fu1617913499l_real ).

tff(hAPP_f1613846310t_real,type,
    hAPP_f1613846310t_real: ( fun_fu692064392t_real * fun_nat_real ) > fun_int_fun_nat_real ).

tff(hAPP_f1786887945l_real,type,
    hAPP_f1786887945l_real: ( fun_fu1694240369l_real * fun_fu1122561126l_real ) > fun_fu1496793882l_real ).

tff(hAPP_i157317923t_real,type,
    hAPP_i157317923t_real: ( fun_int_fun_nat_real * int ) > fun_nat_real ).

tff('#skF_517',type,
    '#skF_517': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff(xzgcda,type,
    xzgcda: ( int * int * int * int * int * int * int * int ) > produc393999548nt_int ).

tff(hAPP_f328572565l_real,type,
    hAPP_f328572565l_real: ( fun_fu2027257463l_real * fun_fu209750539l_real ) > fun_fu1697185671l_real ).

tff('#skF_460',type,
    '#skF_460': ( fun_nat_bool * nat ) > nat ).

tff('#skF_68',type,
    '#skF_68': ( fun_int_fun_int_bool * int * int ) > int ).

tff(hAPP_f330985925l_bool,type,
    hAPP_f330985925l_bool: ( fun_fu1280874925l_bool * fun_re785671361l_real ) > fun_real_bool ).

tff(upto_rel,type,
    upto_rel: fun_Pr313471731t_bool ).

tff(hAPP_f400200275nt_int,type,
    hAPP_f400200275nt_int: ( fun_fu1151120955nt_int * fun_in989261322nt_int ) > fun_in792564872nt_int ).

tff(hAPP_f836602773nt_int,type,
    hAPP_f836602773nt_int: ( fun_fu1409241085nt_int * fun_int_fun_int_int ) > fun_in1797533524nt_int ).

tff('#skF_297',type,
    '#skF_297': ( int * int * int * int ) > int ).

tff('#skF_2',type,
    '#skF_2': int ).

tff(hAPP_P1463840893t_bool,type,
    hAPP_P1463840893t_bool: ( fun_Pr587612383t_bool * produc1322466333at_nat ) > bool ).

tff(hAPP_f1131424617t_bool,type,
    hAPP_f1131424617t_bool: ( fun_fu1989863883t_bool * fun_rat_bool ) > fun_fu1017341406t_bool ).

tff('#skF_151',type,
    '#skF_151': ( int * fun_nat_int * nat ) > nat ).

tff(hAPP_f1805168059t_bool,type,
    hAPP_f1805168059t_bool: ( fun_fu554825757t_bool * fun_int_bool ) > fun_int_bool ).

tff('#skF_161',type,
    '#skF_161': real > real ).

tff(standardRes,type,
    standardRes: int > fun_int_int ).

tff(hAPP_f824790735l_bool,type,
    hAPP_f824790735l_bool: ( fun_fu1929568823l_bool * fun_real_bool ) > fun_fu192063275l_bool ).

tff(zcongm,type,
    zcongm: int > fun_int_fun_int_bool ).

tff(hAPP_f1080886329l_bool,type,
    hAPP_f1080886329l_bool: ( fun_fu1849968923l_bool * fun_bo1549164019l_bool ) > fun_fu2104074051l_bool ).

tff('#skF_398',type,
    '#skF_398': ( fun_na182379510l_real * fun_real_real * nat * real ) > real ).

tff(hAPP_f1154658180t_bool,type,
    hAPP_f1154658180t_bool: ( fun_fu54460722t_bool * fun_nat_int ) > fun_nat_bool ).

tff(diffs_real,type,
    diffs_real: fun_nat_real > fun_nat_real ).

tff('#skF_310',type,
    '#skF_310': ( int * nat * int * int * int ) > int ).

tff(power_power_int,type,
    power_power_int: fun_int_fun_nat_int ).

tff('#skF_508',type,
    '#skF_508': ( fun_nat_rat * fun_nat_rat * rat ) > nat ).

tff(cOMBB_2138578194l_real,type,
    cOMBB_2138578194l_real: fun_fu1814137539t_bool ).

tff('#skF_396',type,
    '#skF_396': ( real * nat * fun_na182379510l_real * fun_real_real ) > real ).

tff(cOMBB_real_bool_nat,type,
    cOMBB_real_bool_nat: fun_fu1635948867t_bool ).

tff(hAPP_f847817363t_bool,type,
    hAPP_f847817363t_bool: ( fun_fu1186009211t_bool * fun_fu257678363t_bool ) > fun_fu579242521t_bool ).

tff('#skF_244',type,
    '#skF_244': ( nat * nat * nat ) > nat ).

tff(hAPP_int_int,type,
    hAPP_int_int: ( fun_int_int * int ) > int ).

tff(hAPP_f271976045t_bool,type,
    hAPP_f271976045t_bool: ( fun_fu1175943503t_bool * fun_re507499238t_bool ) > fun_fu1842467588t_bool ).

tff(hAPP_P921862901l_bool,type,
    hAPP_P921862901l_bool: ( fun_Pr189909033l_bool * product_prod_int_int ) > fun_bool_bool ).

tff(ord_at4362885an_nat,type,
    ord_at4362885an_nat: nat > fun_nat_fun_nat_bool ).

tff(hAPP_f1815301987t_bool,type,
    hAPP_f1815301987t_bool: ( fun_fu1020737221t_bool * fun_fu581830891t_bool ) > fun_fu694788213t_bool ).

tff(hAPP_f2094497995nt_int,type,
    hAPP_f2094497995nt_int: ( fun_fu1504258989nt_int * fun_in865885604nt_int ) > fun_in865885604nt_int ).

tff(hAPP_f248847589l_real,type,
    hAPP_f248847589l_real: ( fun_fu1177681869l_real * fun_re1927296998t_real ) > fun_na182379510l_real ).

tff(ord_at641636577an_int,type,
    ord_at641636577an_int: int > fun_int_fun_int_bool ).

tff(cOMBB_1795223523l_real,type,
    cOMBB_1795223523l_real: fun_fu223014715l_bool ).

tff('#skF_497',type,
    '#skF_497': ( int * int * int * int * fun_int_bool ) > int ).

tff('#skF_389',type,
    '#skF_389': ( real * nat * fun_na182379510l_real * fun_real_real ) > real ).

tff(hAPP_r2115560837t_bool,type,
    hAPP_r2115560837t_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).

tff(image_int_int,type,
    image_int_int: ( fun_int_int * fun_int_bool ) > fun_int_bool ).

tff(tendsto_nat_real,type,
    tendsto_nat_real: ( fun_nat_real * real * filter_nat ) > bool ).

tff(cOMBS_1610675060t_bool,type,
    cOMBS_1610675060t_bool: fun_fu620454517t_bool ).

tff(accp_P490777396at_nat,type,
    accp_P490777396at_nat: fun_Pr465597171t_bool > fun_Pr1927655017t_bool ).

tff('#skF_199',type,
    '#skF_199': real > nat ).

tff('#skF_24',type,
    '#skF_24': ( int * fun_int_bool * int ) > int ).

tff(hAPP_f2135977429nt_int,type,
    hAPP_f2135977429nt_int: ( fun_fu498912061nt_int * fun_int_fun_int_int ) > fun_int_fun_int_int ).

tff('#skF_197',type,
    '#skF_197': ( real * real ) > real ).

tff(zEven,type,
    zEven: fun_int_bool ).

tff('#skF_292',type,
    '#skF_292': ( nat * nat * nat * nat ) > nat ).

tff(fdisj,type,
    fdisj: ( bool * bool ) > bool ).

tff(cOMBC_int_int_int,type,
    cOMBC_int_int_int: fun_fu498912061nt_int ).

tff(hAPP_f1961001761l_bool,type,
    hAPP_f1961001761l_bool: ( fun_fu790805891l_bool * fun_bo1549164019l_bool ) > fun_fu1128560427l_bool ).

tff(cOMBB_735549356nt_int,type,
    cOMBB_735549356nt_int: fun_fu751079485nt_int ).

tff(rRset2norRR,type,
    rRset2norRR: ( fun_int_bool * int ) > fun_int_int ).

tff(resSet,type,
    resSet: int > fun_fu819804446l_bool ).

tff('#skF_112',type,
    '#skF_112': ( fun_nat_bool * nat * nat ) > nat ).

tff(hAPP_f1418982953t_bool,type,
    hAPP_f1418982953t_bool: ( fun_fu497932381t_bool * fun_int_bool ) > fun_fu1902143432t_bool ).

tff(hAPP_nat_fun_int_int,type,
    hAPP_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff('#skF_382',type,
    '#skF_382': ( nat * real ) > real ).

tff('#skF_265',type,
    '#skF_265': ( real * real * fun_Pr1127657839l_bool ) > real ).

tff(hAPP_f1040184293l_real,type,
    hAPP_f1040184293l_real: ( fun_fu392137927l_real * fun_fu1950887583l_real ) > fun_fu1972234819l_real ).

tff('#skF_107',type,
    '#skF_107': ( int * int ) > nat ).

tff('#skF_273',type,
    '#skF_273': ( fun_Pr1127657839l_bool * real ) > real ).

tff(cOMBS_nat_rat_rat,type,
    cOMBS_nat_rat_rat: fun_fu941266250at_rat ).

tff(cOMBS_1720984575t_bool,type,
    cOMBS_1720984575t_bool: fun_fu1359497956t_bool ).

tff(nat_nat_set,type,
    nat_nat_set: fun_fu819804446l_bool ).

tff(ln,type,
    ln: fun_real_real ).

tff(hAPP_C24501650l_bool,type,
    hAPP_C24501650l_bool: ( fun_Co1584449344l_bool * code_code_numeral ) > bool ).

tff(cOMBC_real_real_real,type,
    cOMBC_real_real_real: fun_fu888010351l_real ).

tff(cOMBB_320287386nt_int,type,
    cOMBB_320287386nt_int: fun_fu1667083259nt_int ).

tff('#skF_294',type,
    '#skF_294': ( nat * nat * nat * nat ) > nat ).

tff(div_di1430059507de_int,type,
    div_di1430059507de_int: fun_Qu64793220de_int ).

tff(cOMBB_2107848501l_real,type,
    cOMBB_2107848501l_real: fun_fu383125559l_real ).

tff(cOMBB_1768400739l_real,type,
    cOMBB_1768400739l_real: fun_fu411523851l_real ).

tff(cOMBB_638531587nt_int,type,
    cOMBB_638531587nt_int: fun_fu256365437nt_int ).

tff('#skF_375',type,
    '#skF_375': ( fun_nat_bool * nat ) > nat ).

tff(hAPP_f352226557t_real,type,
    hAPP_f352226557t_real: ( fun_fu2042306533t_real * fun_in1390825880t_real ) > fun_fu1656153920t_real ).

tff(cOMBB_int_rat_int,type,
    cOMBB_int_rat_int: fun_fu877647933nt_rat ).

tff(sgn_sgn_complex,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(cOMBB_1389251822nt_int,type,
    cOMBB_1389251822nt_int: fun_fu2102390523nt_int ).

tff(hAPP_i744251628nt_int,type,
    hAPP_i744251628nt_int: ( fun_in1797533524nt_int * int ) > fun_fu1340701053nt_int ).

tff('#skF_189',type,
    '#skF_189': ( fun_real_real * real * real * real ) > real ).

tff(cOMBB_1146692694ol_nat,type,
    cOMBB_1146692694ol_nat: fun_fu1597390397l_bool ).

tff('#skF_385',type,
    '#skF_385': ( fun_real_real * fun_nat_real * nat * real ) > real ).

tff('#skF_342',type,
    '#skF_342': fun_int_bool > int ).

tff(hAPP_r712953929l_real,type,
    hAPP_r712953929l_real: ( fun_re955532029l_real * real ) > fun_fu1074458747l_real ).

tff('#skF_345',type,
    '#skF_345': ( fun_nat_bool * nat ) > nat ).

tff(div_di1218280263umeral,type,
    div_di1218280263umeral: fun_Co1323339824umeral ).

tff(hAPP_P603027463t_bool,type,
    hAPP_P603027463t_bool: ( fun_Pr974702441t_bool * product_prod_int_int ) > bool ).

tff(fact_fact_int,type,
    fact_fact_int: fun_int_int ).

tff(hAPP_i1948725293t_bool,type,
    hAPP_i1948725293t_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(hAPP_f1576199059t_bool,type,
    hAPP_f1576199059t_bool: ( fun_fu916648827t_bool * fun_fu2100483183t_bool ) > fun_fu146728557t_bool ).

tff(cOMBI_real,type,
    cOMBI_real: fun_real_real ).

tff(cOMBC_nat_nat_nat,type,
    cOMBC_nat_nat_nat: fun_fu522653757at_nat ).

tff('#skF_78',type,
    '#skF_78': ( fun_int_bool * int * int ) > int ).

tff(hAPP_nat_bool,type,
    hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff('#skF_509',type,
    '#skF_509': fun_nat_rat > rat ).

tff(hAPP_f1545556668t_bool,type,
    hAPP_f1545556668t_bool: ( fun_fu1269744292t_bool * fun_in397122125l_bool ) > fun_in719570932t_bool ).

tff(hAPP_P1062890741l_bool,type,
    hAPP_P1062890741l_bool: ( fun_Pr1020157655l_bool * produc1137372701nt_int ) > fun_fu1202355157l_bool ).

tff(hAPP_f1063001928t_bool,type,
    hAPP_f1063001928t_bool: ( fun_fu454443562t_bool * fun_re1598305103l_bool ) > fun_re1979725814t_bool ).

tff(hAPP_f1146629647l_bool,type,
    hAPP_f1146629647l_bool: ( fun_fu2104074051l_bool * fun_nat_bool ) > fun_na1469252690l_bool ).

tff('#skF_170',type,
    '#skF_170': real > nat ).

tff('#skF_422',type,
    '#skF_422': ( fun_na182379510l_real * fun_na182379510l_real * nat * nat * real ) > nat ).

tff(cOMBB_1593174431ol_int,type,
    cOMBB_1593174431ol_int: fun_fu1258735291t_bool ).

tff(cOMBB_722610049al_nat,type,
    cOMBB_722610049al_nat: fun_fu1596546331t_real ).

tff(xzgcd,type,
    xzgcd: ( int * int ) > produc393999548nt_int ).

tff(hAPP_f60716669l_bool,type,
    hAPP_f60716669l_bool: ( fun_fu1709962923l_bool * fun_real_bool ) > fun_re1114994977l_bool ).

tff(hAPP_f1791153283t_bool,type,
    hAPP_f1791153283t_bool: ( fun_fu215647537t_bool * fun_int_int ) > fun_int_fun_int_bool ).

tff('#skF_52',type,
    '#skF_52': ( rat * rat ) > rat ).

tff(cOMBB_1102189010nt_int,type,
    cOMBB_1102189010nt_int: fun_fu1111569329nt_int ).

tff(cOMBC_real_nat_real,type,
    cOMBC_real_nat_real: fun_fu1177681869l_real ).

tff(minus_minus_complex,type,
    minus_minus_complex: fun_co822197010omplex ).

tff(hAPP_r474017924t_real,type,
    hAPP_r474017924t_real: ( fun_re1927296998t_real * real ) > fun_nat_real ).

tff(hAPP_f1361476881t_bool,type,
    hAPP_f1361476881t_bool: ( fun_fu1670435187t_bool * fun_int_bool ) > fun_fu54460722t_bool ).

tff(ord_lessThan_nat,type,
    ord_lessThan_nat: fun_nat_fun_nat_bool ).

tff(cOMBC_746811033l_real,type,
    cOMBC_746811033l_real: fun_fu93779013l_real ).

tff(ord_le1304079648umeral,type,
    ord_le1304079648umeral: fun_Co1372573603l_bool ).

tff(hAPP_f957591787ol_nat,type,
    hAPP_f957591787ol_nat: ( fun_fun_int_bool_nat * fun_int_bool ) > nat ).

tff(cnj,type,
    cnj: fun_complex_complex ).

tff(ord_less_eq_rat,type,
    ord_less_eq_rat: fun_rat_fun_rat_bool ).

tff(hAPP_nat_complex,type,
    hAPP_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(cOMBB_773384995nt_int,type,
    cOMBB_773384995nt_int: fun_fu1389550933t_bool ).

tff('#skF_359',type,
    '#skF_359': rat > rat ).

tff('#skF_504',type,
    '#skF_504': fun_nat_real > real ).

tff('#skF_58',type,
    '#skF_58': ( rat * rat ) > rat ).

tff(hAPP_f1121609875t_bool,type,
    hAPP_f1121609875t_bool: ( fun_fu1082601339t_bool * fun_fu553683856t_bool ) > fun_fu920514766t_bool ).

tff('#skF_35',type,
    '#skF_35': ( int * fun_int_bool ) > int ).

tff(hAPP_f521271395nt_int,type,
    hAPP_f521271395nt_int: ( fun_fu1494809157nt_int * fun_Pr480351984nt_int ) > fun_Pr480351984nt_int ).

tff(hAPP_f713949180nt_int,type,
    hAPP_f713949180nt_int: ( fun_fu1280007140nt_int * fun_in989261322nt_int ) > fun_fu1086065329nt_int ).

tff(plus_p1446045655de_int,type,
    plus_p1446045655de_int: fun_Qu64793220de_int ).

tff(hAPP_f448129468l_bool,type,
    hAPP_f448129468l_bool: ( fun_fu819804446l_bool * fun_int_bool ) > bool ).

tff(hAPP_f725770969t_bool,type,
    hAPP_f725770969t_bool: ( fun_fu1415391623t_bool * fun_int_fun_int_int ) > fun_in351380826t_bool ).

tff('#skF_231',type,
    '#skF_231': ( int * fun_int_bool ) > int ).

tff(iszero_rat,type,
    iszero_rat: fun_rat_bool ).

tff('#skF_54',type,
    '#skF_54': ( nat * nat ) > nat ).

tff(zero_zero_rat,type,
    zero_zero_rat: rat ).

tff(hAPP_Q1762011733de_int,type,
    hAPP_Q1762011733de_int: ( fun_Qu812286141de_int * quickcheck_code_int ) > quickcheck_code_int ).

tff(cOMBB_1533963633al_nat,type,
    cOMBB_1533963633al_nat: fun_fu600511107t_real ).

tff(ring_11397209091omplex,type,
    ring_11397209091omplex: fun_int_complex ).

tff('#skF_438',type,
    '#skF_438': rat > int ).

tff('#skF_169',type,
    '#skF_169': real > nat ).

tff(dist_dist_complex,type,
    dist_dist_complex: complex > fun_complex_real ).

tff('#skF_246',type,
    '#skF_246': ( nat * nat * nat * nat ) > nat ).

tff('#skF_387',type,
    '#skF_387': ( nat * fun_nat_real ) > nat ).

tff(finite_finite_int,type,
    finite_finite_int: fun_fu819804446l_bool ).

tff('#skF_494',type,
    '#skF_494': ( fun_int_bool * int ) > int ).

tff(frct,type,
    frct: product_prod_int_int > rat ).

tff('#skF_225',type,
    '#skF_225': ( nat * nat ) > nat ).

tff(member_int,type,
    member_int: fun_in938817141l_bool ).

tff(hAPP_b1482221219l_real,type,
    hAPP_b1482221219l_real: ( fun_bo1189210245l_real * bool ) > fun_Pr1283822147l_real ).

tff('#skF_490',type,
    '#skF_490': ( fun_int_bool * int ) > int ).

tff('#skF_332',type,
    '#skF_332': ( fun_int_fun_int_bool * int * int ) > int ).

tff(hAPP_f2004554147nt_int,type,
    hAPP_f2004554147nt_int: ( fun_fu1521692625nt_int * fun_int_fun_int_int ) > fun_in865885604nt_int ).

tff('#skF_476',type,
    '#skF_476': ( int * fun_int_bool * int * int ) > int ).

tff('#skF_165',type,
    '#skF_165': real > nat ).

tff(hAPP_f1874145443l_real,type,
    hAPP_f1874145443l_real: ( fun_fu411523851l_real * fun_fu888010351l_real ) > fun_fu459852413l_real ).

tff(cOMBS_1891347093nt_int,type,
    cOMBS_1891347093nt_int: fun_fu1280007140nt_int ).

tff(semiri1424489471de_int,type,
    semiri1424489471de_int: fun_na295310377de_int ).

tff('#skF_337',type,
    '#skF_337': ( fun_int_int * fun_int_bool * int ) > int ).

tff('#skF_139',type,
    '#skF_139': ( fun_nat_bool * nat ) > nat ).

tff(hAPP_f747162069nt_int,type,
    hAPP_f747162069nt_int: ( fun_fu1480724285nt_int * fun_int_int ) > fun_fu1340701053nt_int ).

tff(is_RRset,type,
    is_RRset: fun_int_bool > fun_int_bool ).

tff('#skF_27',type,
    '#skF_27': ( int * int ) > int ).

tff(hAPP_f628503027l_bool,type,
    hAPP_f628503027l_bool: ( fun_fu1637550549l_bool * fun_int_bool ) > fun_fu1540142484l_bool ).

tff(isCont_complex_real,type,
    isCont_complex_real: fun_complex_real > fun_complex_bool ).

tff('#skF_55',type,
    '#skF_55': ( code_code_numeral * code_code_numeral ) > code_code_numeral ).

tff(nat_size,type,
    nat_size: fun_nat_nat ).

tff('#skF_85',type,
    '#skF_85': fun_nat_bool > int ).

tff(hAPP_f1139079189at_int,type,
    hAPP_f1139079189at_int: ( fun_fu2024564861at_int * fun_nat_int ) > fun_nat_int ).

tff(hAPP_f960630521nt_int,type,
    hAPP_f960630521nt_int: ( fun_fu1080573915nt_int * fun_in2078400507nt_int ) > fun_fu1843361787nt_int ).

tff(hAPP_C1614127039umeral,type,
    hAPP_C1614127039umeral: ( fun_Co1101317613umeral * code_code_numeral ) > fun_Co991465098umeral ).

tff(hAPP_f142232355nt_int,type,
    hAPP_f142232355nt_int: ( fun_fu592252421nt_int * fun_in1111845413nt_int ) > fun_in2078400507nt_int ).

tff('#skF_432',type,
    '#skF_432': ( fun_int_bool * fun_int_bool ) > int ).

tff(hAPP_f1010710745l_bool,type,
    hAPP_f1010710745l_bool: ( fun_fu1882383245l_bool * fun_re1114994977l_bool ) > fun_fu1710568445l_bool ).

tff(cOMBC_94739984l_bool,type,
    cOMBC_94739984l_bool: fun_fu1374874789t_bool ).

tff(hAPP_f1993765077t_real,type,
    hAPP_f1993765077t_real: ( fun_fu317217725t_real * fun_re1927296998t_real ) > fun_re1927296998t_real ).

tff(cOMBK_rat_nat,type,
    cOMBK_rat_nat: rat > fun_nat_rat ).

tff(hAPP_f1402056515l_bool,type,
    hAPP_f1402056515l_bool: ( fun_fu192063275l_bool * fun_real_real ) > fun_real_bool ).

tff(cOMBC_int_real_bool,type,
    cOMBC_int_real_bool: fun_fu1524626405t_bool ).

tff('#skF_124',type,
    '#skF_124': int > nat ).

tff('#skF_553',type,
    '#skF_553': ( fun_real_real * fun_real_real * real * real ) > real ).

tff('#skF_268',type,
    '#skF_268': fun_Pr1127657839l_bool > real ).

tff(one_one_nat,type,
    one_one_nat: nat ).

tff(cOMBB_int_real_int,type,
    cOMBB_int_real_int: fun_fu1335490071t_real ).

tff(int_ge_less_than2,type,
    int_ge_less_than2: int > fun_Pr974702441t_bool ).

tff(hAPP_f1182713365t_bool,type,
    hAPP_f1182713365t_bool: ( fun_fu1743937405t_bool * fun_fu1901564496t_bool ) > fun_fu553683856t_bool ).

tff(if_nat,type,
    if_nat: fun_bo1071572548at_nat ).

tff('#skF_148',type,
    '#skF_148': ( int * fun_nat_int * nat ) > nat ).

tff(plus_plus_real,type,
    plus_plus_real: fun_re229243589l_real ).

tff(cOMBB_2129825580al_int,type,
    cOMBB_2129825580al_int: fun_fu2147105085t_real ).

tff('#skF_74',type,
    '#skF_74': ( fun_int_bool * int * int ) > int ).

tff(hAPP_f1228585167nt_int,type,
    hAPP_f1228585167nt_int: ( fun_fu1111569329nt_int * fun_fu1843361787nt_int ) > fun_fu1521692625nt_int ).

tff(hAPP_f696844121t_bool,type,
    hAPP_f696844121t_bool: ( fun_fu1792033211t_bool * fun_nat_bool ) > fun_fu1224477654t_bool ).

tff(bit1,type,
    bit1: fun_int_int ).

tff('#skF_435',type,
    '#skF_435': ( int * int ) > int ).

tff('#skF_288',type,
    '#skF_288': real > int ).

tff('#skF_300',type,
    '#skF_300': ( int * int * int * nat ) > int ).

tff('#skF_484',type,
    '#skF_484': ( int * fun_int_bool * int * int ) > int ).

tff(twoSqu2000912462sum2sq,type,
    twoSqu2000912462sum2sq: fun_Pr480351984nt_int ).

tff(hAPP_f601898971t_bool,type,
    hAPP_f601898971t_bool: ( fun_fu976280201t_bool * fun_int_rat ) > fun_int_fun_rat_bool ).

tff(hAPP_f2119584768l_real,type,
    hAPP_f2119584768l_real: ( fun_fu424979764l_real * fun_nat_bool ) > fun_real_real ).

tff(cOMBB_2027861294ol_int,type,
    cOMBB_2027861294ol_int: fun_fu393805435t_bool ).

tff(ord_le951220754t_bool,type,
    ord_le951220754t_bool: fun_fu1151772339l_bool ).

tff(hAPP_f513299955t_bool,type,
    hAPP_f513299955t_bool: ( fun_fu201758811t_bool * fun_bool_bool ) > fun_fu2112443261t_bool ).

tff(hAPP_f1566856189t_real,type,
    hAPP_f1566856189t_real: ( fun_fu1719442527t_real * fun_nat_real ) > fun_fu508603688t_real ).

tff(hAPP_f644105375l_real,type,
    hAPP_f644105375l_real: ( fun_fu1523905537l_real * fun_re955532029l_real ) > fun_fu1950887583l_real ).

tff('#skF_77',type,
    '#skF_77': ( fun_int_bool * int * int ) > int ).

tff('#skF_219',type,
    '#skF_219': ( fun_int_bool * fun_int_bool * int ) > int ).

tff(hAPP_f735247205t_bool,type,
    hAPP_f735247205t_bool: ( fun_fu1131392967t_bool * fun_in67169585t_bool ) > fun_fu215647537t_bool ).

tff(rcis,type,
    rcis: ( real * real ) > complex ).

tff(hAPP_Q2096512830t_bool,type,
    hAPP_Q2096512830t_bool: ( fun_Qu817627884t_bool * quickcheck_code_int ) > bool ).

tff(hAPP_f1830214065l_bool,type,
    hAPP_f1830214065l_bool: ( fun_fu1154412947l_bool * fun_fu610077323l_bool ) > fun_fu1230750243l_bool ).

tff(hAPP_f213450978omplex,type,
    hAPP_f213450978omplex: ( fun_fu1930053706omplex * fun_nat_complex ) > complex ).

tff('#skF_216',type,
    '#skF_216': ( fun_int_bool * fun_int_bool * int ) > int ).

tff('#skF_125',type,
    '#skF_125': ( nat * nat ) > nat ).

tff(hAPP_f1990636069t_bool,type,
    hAPP_f1990636069t_bool: ( fun_fu963880199t_bool * fun_re1058169246t_bool ) > fun_fu1107106820t_bool ).

tff(hAPP_P1555980039t_bool,type,
    hAPP_P1555980039t_bool: ( fun_Pr1927655017t_bool * product_prod_nat_nat ) > bool ).

tff('#skF_368',type,
    '#skF_368': fun_nat_real > nat ).

tff(hAPP_f1830834240at_rat,type,
    hAPP_f1830834240at_rat: ( fun_fu1414645928at_rat * fun_nat_rat ) > fun_nat_fun_rat_rat ).

tff('#skF_4',type,
    '#skF_4': int > int ).

tff(hAPP_f1796904975t_real,type,
    hAPP_f1796904975t_real: ( fun_fu1315898487t_real * fun_re1927296998t_real ) > fun_fu1362233248t_real ).

tff(hAPP_f1475822739t_bool,type,
    hAPP_f1475822739t_bool: ( fun_fu393805435t_bool * fun_fu2112913523t_bool ) > fun_fu1904575089t_bool ).

tff('#skF_62',type,
    '#skF_62': ( real * real ) > real ).

tff(cOMBB_591320580ol_int,type,
    cOMBB_591320580ol_int: fun_fu1521371387t_bool ).

tff('#skF_33',type,
    '#skF_33': int > int ).

tff(hAPP_f1574055885nt_int,type,
    hAPP_f1574055885nt_int: ( fun_fu1843361787nt_int * fun_int_int ) > fun_in1111845413nt_int ).

tff('#skF_510',type,
    '#skF_510': ( fun_nat_rat * nat ) > nat ).

tff(hAPP_f895854793t_real,type,
    hAPP_f895854793t_real: ( fun_fu59052337t_real * fun_fu1569755401t_real ) > fun_fu317217725t_real ).

tff(hAPP_P2053772734t_bool,type,
    hAPP_P2053772734t_bool: ( fun_Pr820506994t_bool * product_prod_int_int ) > fun_Pr1149636328t_bool ).

tff(hAPP_C471253896umeral,type,
    hAPP_C471253896umeral: ( fun_Co1868595440umeral * code_code_numeral ) > fun_na1360402045umeral ).

tff(hAPP_f219720582omplex,type,
    hAPP_f219720582omplex: ( fun_fu1853665082omplex * fun_nat_real ) > fun_nat_complex ).

tff('#skF_220',type,
    '#skF_220': ( nat * nat ) > nat ).

tff(monoseq_real,type,
    monoseq_real: fun_nat_real > bool ).

tff('#skF_63',type,
    '#skF_63': ( quickcheck_code_int * quickcheck_code_int ) > quickcheck_code_int ).

tff(hAPP_f1459420095t_bool,type,
    hAPP_f1459420095t_bool: ( fun_fu963292147t_bool * fun_int_fun_nat_real ) > fun_re2063775123t_bool ).

tff('#skF_204',type,
    '#skF_204': ( fun_real_real * real * real ) > real ).

tff(pair_leq,type,
    pair_leq: fun_Pr587612383t_bool ).

tff(ord_less_eq_int,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(hAPP_rat_rat,type,
    hAPP_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(hAPP_P1860904029l_real,type,
    hAPP_P1860904029l_real: ( fun_Pr1375198143l_real * produc914805421l_real ) > produc914805421l_real ).

tff(hAPP_nat_int,type,
    hAPP_nat_int: ( fun_nat_int * nat ) > int ).

tff('#skF_467',type,
    '#skF_467': ( int * fun_int_bool * int * int ) > int ).

tff('#skF_418',type,
    '#skF_418': ( nat * real * fun_na182379510l_real * fun_real_real ) > nat ).

tff(hAPP_f1038672605nt_int,type,
    hAPP_f1038672605nt_int: ( fun_fu593722309nt_int * fun_int_fun_int_int ) > fun_fu693994524nt_int ).

tff(ord_le1912455174t_bool,type,
    ord_le1912455174t_bool: fun_fu1151772339l_bool ).

tff(complex_size,type,
    complex_size: complex > nat ).

tff(cOMBB_859312247nt_nat,type,
    cOMBB_859312247nt_nat: fun_fu1210427133nt_int ).

tff(times_times_complex,type,
    times_times_complex: fun_co822197010omplex ).

tff('#skF_481',type,
    '#skF_481': ( int * fun_int_bool * int * int ) > int ).

tff(hAPP_f2084827628t_bool,type,
    hAPP_f2084827628t_bool: ( fun_fu920514766t_bool * fun_re1564496555l_bool ) > fun_re506364222t_bool ).

tff(hAPP_f1092742621l_real,type,
    hAPP_f1092742621l_real: ( fun_fu349214399l_real * fun_re229243589l_real ) > fun_fu1634244117l_real ).

tff(plus_plus_rat,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff('#skF_419',type,
    '#skF_419': ( nat * real * fun_na182379510l_real * fun_real_real ) > real ).

tff(hAPP_f374502857t_bool,type,
    hAPP_f374502857t_bool: ( fun_fu1988341163t_bool * fun_rat_bool ) > fun_fu1530049726t_bool ).

tff(cOMBB_520243667l_real,type,
    cOMBB_520243667l_real: fun_fu2027257463l_real ).

tff(cOMBK_bool_nat,type,
    cOMBK_bool_nat: bool > fun_nat_bool ).

tff(produc282740534nt_int,type,
    produc282740534nt_int: fun_in1560792517nt_int ).

tff('#skF_12',type,
    '#skF_12': ( fun_real_bool * real ) > real ).

tff(cOMBB_650041899nt_int,type,
    cOMBB_650041899nt_int: fun_fu1020737221t_bool ).

tff(hAPP_f1734373249l_bool,type,
    hAPP_f1734373249l_bool: ( fun_fu531009635l_bool * fun_bo1549164019l_bool ) > fun_fu610077323l_bool ).

tff('#skF_135',type,
    '#skF_135': ( nat * nat ) > nat ).

tff(zfact,type,
    zfact: fun_int_int ).

tff('#skF_331',type,
    '#skF_331': ( fun_int_fun_int_bool * int * int ) > int ).

tff(ord_at1589558736t_real,type,
    ord_at1589558736t_real: real > fun_re413263731l_bool ).

tff(cOMBB_int_int_nat,type,
    cOMBB_int_int_nat: fun_fu1887272509at_int ).

tff(bolzano_bisect,type,
    bolzano_bisect: ( fun_Pr1127657839l_bool * real * real ) > fun_na1745536976l_real ).

tff('#skF_193',type,
    '#skF_193': ( fun_real_real * fun_real_real * real * real ) > real ).

tff('#skF_259',type,
    '#skF_259': ( real * real * fun_Pr1127657839l_bool ) > real ).

tff(hAPP_f1122023986l_real,type,
    hAPP_f1122023986l_real: ( fun_fu1496793882l_real * fun_re1927296998t_real ) > fun_real_real ).

tff(d22set,type,
    d22set: fun_int_fun_int_bool ).

tff('#skF_167',type,
    '#skF_167': real > nat ).

tff(hAPP_f237669397t_bool,type,
    hAPP_f237669397t_bool: ( fun_fu2112443261t_bool * fun_Pr974702441t_bool ) > fun_Pr974702441t_bool ).

tff(member2143287562nt_int,type,
    member2143287562nt_int: fun_Pr1020157655l_bool ).

tff('#skF_515',type,
    '#skF_515': ( fun_int_bool * fun_int_bool * fun_int_bool * int * int ) > int ).

tff(hAPP_f1120137083nt_rat,type,
    hAPP_f1120137083nt_rat: ( fun_fu1887196079nt_rat * fun_Pr1826394355nt_rat ) > fun_fu1186790897nt_rat ).

tff(cOMBB_1926947at_nat,type,
    cOMBB_1926947at_nat: fun_fu474013181at_rat ).

tff(hAPP_r279757445t_bool,type,
    hAPP_r279757445t_bool: ( fun_re1091407545t_bool * real ) > fun_fu1532576183t_bool ).

tff(plus_p1627245867umeral,type,
    plus_p1627245867umeral: fun_Co1323339824umeral ).

tff(cOMBB_1290694363ol_int,type,
    cOMBB_1290694363ol_int: fun_fu1541392415t_bool ).

tff(hAPP_i418383825t_bool,type,
    hAPP_i418383825t_bool: ( fun_int_fun_nat_bool * int ) > fun_nat_bool ).

tff(collec1347809874nt_int,type,
    collec1347809874nt_int: fun_Pr974702441t_bool > fun_Pr974702441t_bool ).

tff(hAPP_complex_complex,type,
    hAPP_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff('#skF_87',type,
    '#skF_87': ( fun_nat_bool * nat * nat ) > nat ).

tff(hAPP_f1722879237t_bool,type,
    hAPP_f1722879237t_bool: ( fun_fu80187629t_bool * fun_na1436237685l_bool ) > fun_fu821463397t_bool ).

tff('#skF_222',type,
    '#skF_222': ( nat * nat ) > nat ).

tff(cOMBS_902912708l_real,type,
    cOMBS_902912708l_real: fun_fu2079587053l_real ).

tff(nat_tr160667106at_int,type,
    nat_tr160667106at_int: fun_nat_int > fun_fu425979586l_bool ).

tff(cOMBS_337378985l_real,type,
    cOMBS_337378985l_real: fun_fu385122018l_real ).

tff(hAPP_f538843494t_bool,type,
    hAPP_f538843494t_bool: ( fun_fu1902143432t_bool * fun_int_bool ) > produc1450482951t_bool ).

tff(lazy_small_lazy_rel,type,
    lazy_small_lazy_rel: fun_Pr313471731t_bool ).

tff(hAPP_f808647893nt_int,type,
    hAPP_f808647893nt_int: ( fun_fu401420093nt_int * fun_in1797533524nt_int ) > fun_fu442799956nt_int ).

tff('#skF_176',type,
    '#skF_176': real > nat ).

tff(cOMBC_243356514t_bool,type,
    cOMBC_243356514t_bool: fun_fu266677575t_bool ).

tff(cOMBC_412863505t_bool,type,
    cOMBC_412863505t_bool: fun_fu963880199t_bool ).

tff(prime,type,
    prime: fun_nat_bool ).

tff(pls,type,
    pls: int ).

tff(quickc1265749348ro_rel,type,
    quickc1265749348ro_rel: fun_int_fun_int_bool ).

tff(hAPP_f883232462nt_int,type,
    hAPP_f883232462nt_int: ( fun_fu976112124nt_int * fun_int_int ) > fun_in2003698982nt_int ).

tff('#skF_26',type,
    '#skF_26': ( int * fun_int_bool * int ) > int ).

tff('#skF_349',type,
    '#skF_349': ( nat * fun_nat_bool ) > nat ).

tff(hAPP_f11151005nt_int,type,
    hAPP_f11151005nt_int: ( fun_fu2013528197nt_int * fun_int_int ) > fun_fu1494809157nt_int ).

tff(if_int,type,
    if_int: fun_bo1947501544nt_int ).

tff(at_real,type,
    at_real: real > filter_real ).

tff('#skF_223',type,
    '#skF_223': ( nat * nat ) > nat ).

tff(hAPP_nat_nat,type,
    hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(hAPP_f578362681nt_int,type,
    hAPP_f578362681nt_int: ( fun_fu179687707nt_int * fun_Pr2134412615nt_int ) > fun_in1211676399nt_int ).

tff('#skF_90',type,
    '#skF_90': ( int * int ) > int ).

tff('#skF_364',type,
    '#skF_364': ( fun_nat_real * fun_nat_real * nat ) > nat ).

tff('#skF_523',type,
    '#skF_523': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff(bit0,type,
    bit0: fun_int_int ).

tff(field_1210416355s_real,type,
    field_1210416355s_real: fun_real_bool ).

tff('#skF_215',type,
    '#skF_215': ( fun_int_bool * fun_int_bool * int ) > int ).

tff(hAPP_f252743847l_bool,type,
    hAPP_f252743847l_bool: ( fun_fu970548443l_bool * fun_int_fun_nat_bool ) > fun_in1678813097l_bool ).

tff('#skF_321',type,
    '#skF_321': ( fun_real_real * real * real ) > real ).

tff('#skF_203',type,
    '#skF_203': complex > real ).

tff(hAPP_f1607377819t_real,type,
    hAPP_f1607377819t_real: ( fun_fu600511107t_real * fun_fu95670548l_real ) > fun_fu1709053786t_real ).

tff(hAPP_f1673103573at_int,type,
    hAPP_f1673103573at_int: ( fun_fu368769085at_int * fun_nat_fun_int_int ) > fun_int_fun_nat_int ).

tff('#skF_158',type,
    '#skF_158': real > real ).

tff(bnorRset,type,
    bnorRset: int > fun_int_fun_int_bool ).

tff('#skF_13',type,
    '#skF_13': ( fun_complex_bool * complex ) > complex ).

tff('#skF_400',type,
    '#skF_400': ( nat * fun_na182379510l_real * fun_real_real * real ) > nat ).

tff(zero_zero_nat,type,
    zero_zero_nat: nat ).

tff(minus_1690775515umeral,type,
    minus_1690775515umeral: fun_Co1323339824umeral ).

tff(archim1246769320r_real,type,
    archim1246769320r_real: real > int ).

tff(hAPP_r1962736578t_bool,type,
    hAPP_r1962736578t_bool: ( fun_re1979725814t_bool * real ) > fun_in719570932t_bool ).

tff(hAPP_i371647666l_real,type,
    hAPP_i371647666l_real: ( fun_in7315610l_real * int ) > fun_real_real ).

tff('#skF_412',type,
    '#skF_412': ( fun_na182379510l_real * fun_real_real * nat * real ) > nat ).

tff(hAPP_r1195171167l_real,type,
    hAPP_r1195171167l_real: ( fun_re785671361l_real * real ) > produc914805421l_real ).

tff('#skF_549',type,
    '#skF_549': ( fun_real_real * fun_real_real * real * real ) > real ).

tff('#skF_103',type,
    '#skF_103': fun_int_bool > int ).

tff('#skF_209',type,
    '#skF_209': ( fun_int_bool * fun_int_bool * int ) > int ).

tff(hAPP_f556082547l_real,type,
    hAPP_f556082547l_real: ( fun_fu2120820641l_real * fun_real_real ) > fun_re229243589l_real ).

tff('#skF_75',type,
    '#skF_75': ( fun_int_bool * int * int ) > int ).

tff(cOMBI_int,type,
    cOMBI_int: fun_int_int ).

tff('#skF_388',type,
    '#skF_388': ( real * nat * fun_na182379510l_real * fun_real_real ) > nat ).

tff(big_co230513141nt_int,type,
    big_co230513141nt_int: fun_fu1814991441ol_int ).

tff(ord_less_rat,type,
    ord_less_rat: fun_rat_fun_rat_bool ).

tff(div_div_nat,type,
    div_div_nat: fun_nat_fun_nat_nat ).

tff(hAPP_r265291036omplex,type,
    hAPP_r265291036omplex: ( fun_re398676606omplex * real ) > fun_real_complex ).

tff(ord_at238088361st_nat,type,
    ord_at238088361st_nat: nat > fun_nat_fun_nat_bool ).

tff(cOMBB_1317819104ol_int,type,
    cOMBB_1317819104ol_int: fun_fu1429059939l_bool ).

tff(invers1449016382omplex,type,
    invers1449016382omplex: fun_complex_complex ).

tff(cOMBS_nat_nat_nat,type,
    cOMBS_nat_nat_nat: fun_fu1382375754at_nat ).

tff('#skF_276',type,
    '#skF_276': ( nat * nat ) > nat ).

tff(member180897546at_nat,type,
    member180897546at_nat: fun_Pr822475479l_bool ).

tff('#skF_59',type,
    '#skF_59': ( int * int ) > int ).

tff(finite_finite_nat,type,
    finite_finite_nat: fun_fu425979586l_bool ).

tff('#skF_363',type,
    '#skF_363': ( fun_int_int * fun_int_bool ) > int ).

tff(hAPP_f434654626nt_int,type,
    hAPP_f434654626nt_int: ( fun_fu1890158468nt_int * fun_in865885604nt_int ) > fun_fu1843361787nt_int ).

tff(hAPP_P230595783nt_int,type,
    hAPP_P230595783nt_int: ( fun_Pr29212713nt_int * product_prod_int_int ) > produc1137372701nt_int ).

tff(hAPP_f1325804733t_bool,type,
    hAPP_f1325804733t_bool: ( fun_fu581830891t_bool * fun_Pr1149636328t_bool ) > fun_fu1337909610t_bool ).

tff(finite1395289673t_bool,type,
    finite1395289673t_bool: fun_fu1540142484l_bool ).

tff('#skF_101',type,
    '#skF_101': ( nat * nat * fun_nat_nat ) > nat ).

tff('#skF_394',type,
    '#skF_394': ( real * nat * fun_na182379510l_real * fun_real_real ) > nat ).

tff(nat_case_bool,type,
    nat_case_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).

tff(hAPP_f617310012nt_int,type,
    hAPP_f617310012nt_int: ( fun_fu915505700nt_int * fun_in2124216673nt_int ) > fun_in792564872nt_int ).

tff('#skF_20',type,
    '#skF_20': ( fun_int_bool * int ) > int ).

tff('#skF_256',type,
    '#skF_256': ( nat * real * real * fun_Pr1127657839l_bool ) > real ).

tff('#skF_163',type,
    '#skF_163': real > nat ).

tff(hAPP_f428220345t_bool,type,
    hAPP_f428220345t_bool: ( fun_fu257678363t_bool * fun_int_fun_int_bool ) > fun_int_fun_int_bool ).

tff('#skF_152',type,
    '#skF_152': ( int * fun_nat_int * nat * nat ) > nat ).

tff(hAPP_r1623423338t_bool,type,
    hAPP_r1623423338t_bool: ( fun_re1058169246t_bool * real ) > fun_fu380257692t_bool ).

tff(divmod_int_rel,type,
    divmod_int_rel: ( int * int ) > fun_Pr974702441t_bool ).

tff('#skF_456',type,
    '#skF_456': ( nat * fun_nat_real ) > nat ).

tff('#skF_282',type,
    '#skF_282': ( nat * nat ) > nat ).

tff(hAPP_f22106695ol_nat,type,
    hAPP_f22106695ol_nat: ( fun_fun_nat_bool_nat * fun_nat_bool ) > nat ).

tff(pred_nat,type,
    pred_nat: fun_Pr1927655017t_bool ).

tff('#skF_100',type,
    '#skF_100': ( nat * nat * fun_nat_nat ) > nat ).

tff('#skF_429',type,
    '#skF_429': fun_nat_bool > nat ).

tff(cOMBB_562416518ol_int,type,
    cOMBB_562416518ol_int: fun_fu1186009211t_bool ).

tff(hAPP_f451358433l_real,type,
    hAPP_f451358433l_real: ( fun_fu1634244117l_real * fun_nat_real ) > fun_na182379510l_real ).

tff(quickcheck_nat_of,type,
    quickcheck_nat_of: quickcheck_code_int > nat ).

tff('#skF_457',type,
    '#skF_457': fun_nat_real > nat ).

tff('#skF_343',type,
    '#skF_343': ( fun_nat_fun_nat_bool * nat * nat ) > nat ).

tff(hAPP_f1769710159nt_int,type,
    hAPP_f1769710159nt_int: ( fun_fu1223580849nt_int * fun_Pr642042703nt_int ) > fun_fu1123997949nt_int ).

tff('#skF_290',type,
    '#skF_290': real > int ).

tff(hAPP_r1150855451l_bool,type,
    hAPP_r1150855451l_bool: ( fun_re1598305103l_bool * real ) > fun_in397122125l_bool ).

tff(bijR_int_int,type,
    bijR_int_int: fun_int_fun_int_bool > fun_Pr4007113l_bool ).

tff('#skF_287',type,
    '#skF_287': real > int ).

tff('#skF_60',type,
    '#skF_60': ( nat * nat ) > nat ).

tff(product_fst_int_int,type,
    product_fst_int_int: fun_Pr480351984nt_int ).

tff(hAPP_f1270196437nt_rat,type,
    hAPP_f1270196437nt_rat: ( fun_fu877647933nt_rat * fun_int_rat ) > fun_fu1032682793nt_rat ).

tff('#skF_127',type,
    '#skF_127': ( nat * nat * fun_nat_nat ) > nat ).

tff('#skF_160',type,
    '#skF_160': real > real ).

tff(cOMBB_1652995168ol_int,type,
    cOMBB_1652995168ol_int: fun_fu531009635l_bool ).

tff('#skF_291',type,
    '#skF_291': real > int ).

tff('#skF_341',type,
    '#skF_341': ( fun_nat_bool * nat ) > nat ).

tff(hAPP_b646336293l_real,type,
    hAPP_b646336293l_real: ( fun_bo1998411783l_real * bool ) > fun_re229243589l_real ).

tff(hAPP_f2054677283nt_int,type,
    hAPP_f2054677283nt_int: ( fun_fu1073653253nt_int * fun_in1111845413nt_int ) > fun_fu1843361787nt_int ).

tff(complex_1,type,
    complex_1: fun_re398676606omplex ).

tff(hAPP_P1681069257l_bool,type,
    hAPP_P1681069257l_bool: ( fun_Pr1669804459l_bool * produc1450482951t_bool ) > fun_fu2145628351l_bool ).

tff(cOMBB_798864284nt_int,type,
    cOMBB_798864284nt_int: fun_fu1995066539t_bool ).

tff('#skF_159',type,
    '#skF_159': real > real ).

tff(hAPP_i1671359920t_real,type,
    hAPP_i1671359920t_real: ( fun_in1390825880t_real * int ) > fun_fu645688257t_real ).

tff(hAPP_f720654810t_bool,type,
    hAPP_f720654810t_bool: ( fun_fu326650760t_bool * fun_int_fun_int_int ) > fun_int_fun_int_bool ).

tff(plus_plus_nat,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(hAPP_f1356864277nt_int,type,
    hAPP_f1356864277nt_int: ( fun_fu1340701053nt_int * fun_int_int ) > fun_int_int ).

tff(uminus_uminus_rat,type,
    uminus_uminus_rat: fun_rat_rat ).

tff('#skF_298',type,
    '#skF_298': ( int * int * int ) > int ).

tff(cOMBB_214503962ol_int,type,
    cOMBB_214503962ol_int: fun_fu305882913t_bool ).

tff('#skF_232',type,
    '#skF_232': real ).

tff(fFalse,type,
    fFalse: bool ).

tff(div_mo1740067990umeral,type,
    div_mo1740067990umeral: code_code_numeral > fun_Co536835517umeral ).

tff(cOMBB_1459832681l_real,type,
    cOMBB_1459832681l_real: fun_fu1988342983t_bool ).

tff(hAPP_f617735571l_real,type,
    hAPP_f617735571l_real: ( fun_fu1074458747l_real * fun_real_real ) > fun_re785671361l_real ).

tff(hAPP_r1230691443l_real,type,
    hAPP_r1230691443l_real: ( fun_re10870101l_real * real ) > fun_re923322561l_real ).

tff(hAPP_real_bool,type,
    hAPP_real_bool: ( fun_real_bool * real ) > bool ).

tff(ord_less_nat,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(cOMBC_1508019322l_real,type,
    cOMBC_1508019322l_real: fun_fu459852413l_real ).

tff('#skF_328',type,
    '#skF_328': fun_nat_nat > nat ).

tff(abs_abs_rat,type,
    abs_abs_rat: fun_rat_rat ).

tff(hAPP_C2132160860umeral,type,
    hAPP_C2132160860umeral: ( fun_Co991465098umeral * code_code_numeral ) > produc1359518119umeral ).

tff(cOMBB_569260360nt_int,type,
    cOMBB_569260360nt_int: fun_fu1988341163t_bool ).

tff('#skF_525',type,
    '#skF_525': ( int * fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff('#skF_463',type,
    '#skF_463': ( fun_real_real * real * real ) > real ).

tff('#skF_229',type,
    '#skF_229': complex > real ).

tff(cOMBS_int_bool_bool,type,
    cOMBS_int_bool_bool: fun_fu587508068t_bool ).

tff(hAPP_n1108039445umeral,type,
    hAPP_n1108039445umeral: ( fun_na1360402045umeral * nat ) > code_code_numeral ).

tff(hAPP_i1529485324t_bool,type,
    hAPP_i1529485324t_bool: ( fun_in719570932t_bool * int ) > fun_fu554825757t_bool ).

tff(times_123202395de_int,type,
    times_123202395de_int: fun_Qu64793220de_int ).

tff('#skF_47',type,
    '#skF_47': ( int * int ) > int ).

tff('#skF_81',type,
    '#skF_81': ( nat * nat ) > nat ).

tff(produc93441119t_bool,type,
    produc93441119t_bool: fun_int_fun_int_bool > fun_Pr974702441t_bool ).

tff(hAPP_f77155443t_bool,type,
    hAPP_f77155443t_bool: ( fun_fu1045264469t_bool * fun_re1091407545t_bool ) > fun_re811280567t_bool ).

tff(ratrel,type,
    ratrel: fun_Pr1333588703t_bool ).

tff(hAPP_f1900646853l_bool,type,
    hAPP_f1900646853l_bool: ( fun_fu987960615l_bool * fun_re413263731l_bool ) > fun_fu736357967l_bool ).

tff(hAPP_f983569339t_bool,type,
    hAPP_f983569339t_bool: ( fun_fu2037535261t_bool * fun_fu215647537t_bool ) > fun_fu1415391623t_bool ).

tff('#skF_64',type,
    '#skF_64': ( rat * rat ) > rat ).

tff('#skF_51',type,
    '#skF_51': ( quickcheck_code_int * quickcheck_code_int ) > quickcheck_code_int ).

tff(tendsto_real_real,type,
    tendsto_real_real: ( fun_real_real * real * filter_real ) > bool ).

tff('#skF_546',type,
    '#skF_546': ( fun_real_real * real * real ) > real ).

tff(legendre,type,
    legendre: int > fun_int_int ).

tff(natfloor,type,
    natfloor: real > nat ).

tff(powr,type,
    powr: fun_re229243589l_real ).

tff(hAPP_b992065680at_nat,type,
    hAPP_b992065680at_nat: ( fun_bo1071572548at_nat * bool ) > fun_nat_fun_nat_nat ).

tff(hAPP_r2019696015l_real,type,
    hAPP_r2019696015l_real: ( fun_re1550493891l_real * real ) > fun_re785671361l_real ).

tff('#skF_73',type,
    '#skF_73': ( fun_int_bool * int * int ) > int ).

tff(hAPP_i998473677nt_int,type,
    hAPP_i998473677nt_int: ( fun_in2078400507nt_int * int ) > fun_fu976112124nt_int ).

tff(hAPP_f866672739t_bool,type,
    hAPP_f866672739t_bool: ( fun_fu150535243t_bool * fun_fu1716408315t_bool ) > fun_fu1206934473t_bool ).

tff(cOMBB_389152643ol_int,type,
    cOMBB_389152643ol_int: fun_fu1320545917t_bool ).

tff(cOMBB_118231410ol_int,type,
    cOMBB_118231410ol_int: fun_fu1997740657t_bool ).

tff(hAPP_f1927674023t_bool,type,
    hAPP_f1927674023t_bool: ( fun_fu1124178569t_bool * fun_re506364222t_bool ) > fun_re507499238t_bool ).

tff('#skF_316',type,
    '#skF_316': ( real * real ) > real ).

tff('#skF_355',type,
    '#skF_355': ( real * fun_real_bool * real ) > real ).

tff(ring_1_of_int_rat,type,
    ring_1_of_int_rat: fun_int_rat ).

tff('#skF_240',type,
    '#skF_240': real ).

tff('#skF_233',type,
    '#skF_233': real ).

tff('#skF_8',type,
    '#skF_8': ( nat * nat ) > nat ).

tff('#skF_526',type,
    '#skF_526': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff(cOMBC_1329014627t_real,type,
    cOMBC_1329014627t_real: fun_fu2073566759t_real ).

tff('#skF_322',type,
    '#skF_322': ( fun_real_real * real * real ) > real ).

tff(cOMBC_2037038898nt_int,type,
    cOMBC_2037038898nt_int: fun_fu1223580849nt_int ).

tff('#skF_129',type,
    '#skF_129': ( nat * nat * fun_nat_nat ) > nat ).

tff(hAPP_c172932010omplex,type,
    hAPP_c172932010omplex: ( fun_co822197010omplex * complex ) > fun_complex_complex ).

tff(cOMBB_800536526ol_nat,type,
    cOMBB_800536526ol_nat: fun_fu687803393t_bool ).

tff('#skF_391',type,
    '#skF_391': ( nat * real * fun_na182379510l_real * fun_real_real ) > nat ).

tff(cOMBB_237479429l_real,type,
    cOMBB_237479429l_real: fun_fu1716108231l_real ).

tff(hAPP_f857296063t_bool,type,
    hAPP_f857296063t_bool: ( fun_fu305882913t_bool * fun_rat_fun_rat_bool ) > fun_fu976280201t_bool ).

tff(code_S1047413653umeral,type,
    code_S1047413653umeral: code_code_numeral > code_code_numeral ).

tff('#skF_333',type,
    '#skF_333': ( fun_int_fun_int_bool * int * int ) > int ).

tff(hAPP_f318350629l_real,type,
    hAPP_f318350629l_real: ( fun_fu733030919l_real * fun_re229243589l_real ) > fun_fu859852125l_real ).

tff(hAPP_f1720068861t_real,type,
    hAPP_f1720068861t_real: ( fun_fu1790089701t_real * fun_in464278240t_real ) > fun_fu692064392t_real ).

tff('#skF_420',type,
    '#skF_420': ( nat * real * fun_na182379510l_real * fun_real_real ) > real ).

tff(hAPP_int_complex,type,
    hAPP_int_complex: ( fun_int_complex * int ) > complex ).

tff(hAPP_f1129044203l_real,type,
    hAPP_f1129044203l_real: ( fun_fu609812941l_real * fun_nat_bool ) > fun_na768876520l_real ).

tff('#skF_485',type,
    '#skF_485': ( int * fun_int_bool * int * int ) > int ).

tff(power_881366806de_int,type,
    power_881366806de_int: fun_Qu1439435760de_int ).

tff('#skF_496',type,
    '#skF_496': ( int * int * int * int * fun_int_bool ) > int ).

tff('#skF_320',type,
    '#skF_320': ( int * fun_int_bool ) > nat ).

tff(size_size_list_int,type,
    size_size_list_int: fun_list_int_nat ).

tff('#skF_521',type,
    '#skF_521': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff(cOMBB_963856155at_nat,type,
    cOMBB_963856155at_nat: fun_fu1799328765at_nat ).

tff(hAPP_f125788821nt_int,type,
    hAPP_f125788821nt_int: ( fun_fu1210427133nt_int * fun_int_fun_int_int ) > fun_fu1086719572nt_int ).

tff('#skF_247',type,
    '#skF_247': nat > nat ).

tff('#skF_433',type,
    '#skF_433': ( int * int * int ) > int ).

tff(hBOOL,type,
    hBOOL: bool > $o ).

tff(cOMBB_662120866nt_int,type,
    cOMBB_662120866nt_int: fun_fu143300987nt_int ).

tff(gcd_gcd_nat,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff('#skF_134',type,
    '#skF_134': ( nat * nat ) > nat ).

tff(cOMBS_511527878l_real,type,
    cOMBS_511527878l_real: fun_fu1698495721l_real ).

tff(cOMBB_731595089l_real,type,
    cOMBB_731595089l_real: fun_fu1466819147l_real ).

tff(hAPP_f1644353557l_real,type,
    hAPP_f1644353557l_real: ( fun_fu459852413l_real * fun_re1227808089l_real ) > fun_re1227808089l_real ).

tff('#skF_386',type,
    '#skF_386': ( nat * fun_nat_real ) > nat ).

tff(hAPP_f1163894827t_real,type,
    hAPP_f1163894827t_real: ( fun_fu1294731027t_real * fun_re1927296998t_real ) > fun_re573205052t_real ).

tff('#skF_221',type,
    '#skF_221': ( nat * nat ) > nat ).

tff(hAPP_f167782601nt_int,type,
    hAPP_f167782601nt_int: ( fun_fu1123997949nt_int * fun_Pr480351984nt_int ) > fun_Pr2144253564nt_int ).

tff('#skF_555',type,
    '#skF_555': ( fun_real_real * fun_real_real * real * real ) > real ).

tff('#skF_293',type,
    '#skF_293': ( nat * nat * nat * nat ) > nat ).

tff(hAPP_r1938957037l_bool,type,
    hAPP_r1938957037l_bool: ( fun_re1114994977l_bool * real ) > fun_bool_bool ).

tff(rsetR,type,
    rsetR: int > fun_fu819804446l_bool ).

tff(hAPP_r50993370t_real,type,
    hAPP_r50993370t_real: ( fun_re573205052t_real * real ) > fun_fu508603688t_real ).

tff(hAPP_P1975530577nt_int,type,
    hAPP_P1975530577nt_int: ( fun_Pr241715507nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(hAPP_b589554111l_bool,type,
    hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).

tff(hAPP_i1524277240nt_int,type,
    hAPP_i1524277240nt_int: ( fun_in2003698982nt_int * int ) > product_prod_int_int ).

tff(cOMBC_1683390479t_bool,type,
    cOMBC_1683390479t_bool: fun_fu407119589t_bool ).

tff(hAPP_f335634176l_real,type,
    hAPP_f335634176l_real: ( fun_fu385122018l_real * fun_na768876520l_real ) > fun_fu1634244117l_real ).

tff('#skF_319',type,
    '#skF_319': ( int * fun_int_bool ) > nat ).

tff(hAPP_i1778081398nt_int,type,
    hAPP_i1778081398nt_int: ( fun_in865885604nt_int * int ) > fun_in1111845413nt_int ).

tff(hAPP_n1983812447omplex,type,
    hAPP_n1983812447omplex: ( fun_na1566252557omplex * nat ) > fun_real_complex ).

tff(hAPP_f183342685l_real,type,
    hAPP_f183342685l_real: ( fun_fu209750539l_real * fun_re1761459671l_real ) > fun_fu1617913499l_real ).

tff('#skF_21',type,
    '#skF_21': ( fun_nat_bool * nat ) > nat ).

tff(hAPP_f823702159l_real,type,
    hAPP_f823702159l_real: ( fun_fu1972234819l_real * fun_re229243589l_real ) > fun_re665330775l_real ).

tff('#skF_315',type,
    '#skF_315': ( real * real ) > real ).

tff(cOMBC_467724138l_real,type,
    cOMBC_467724138l_real: fun_fu1523905537l_real ).

tff(scaleR1652505878omplex,type,
    scaleR1652505878omplex: real > fun_complex_complex ).

tff(hAPP_f85237525t_bool,type,
    hAPP_f85237525t_bool: ( fun_fu1320545917t_bool * fun_fu587508068t_bool ) > fun_fu1269744292t_bool ).

tff(hAPP_r931665397l_real,type,
    hAPP_r931665397l_real: ( fun_re1761459671l_real * real ) > fun_Pr1283822147l_real ).

tff(hAPP_f101635158l_bool,type,
    hAPP_f101635158l_bool: ( fun_fu370089278l_bool * fun_re546217968t_bool ) > fun_real_bool ).

tff('#skF_241',type,
    '#skF_241': real ).

tff(hAPP_P2110489235nt_int,type,
    hAPP_P2110489235nt_int: ( fun_Pr2134412615nt_int * product_prod_int_int ) > fun_int_int ).

tff(hAPP_int_fun_nat_int,type,
    hAPP_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(hAPP_f1730463541l_real,type,
    hAPP_f1730463541l_real: ( fun_fu1698495721l_real * fun_re1550493891l_real ) > fun_fu1074458747l_real ).

tff(hAPP_i1836591008nt_int,type,
    hAPP_i1836591008nt_int: ( fun_in792564872nt_int * int ) > fun_fu1086065329nt_int ).

tff(hAPP_f1914742907nt_int,type,
    hAPP_f1914742907nt_int: ( fun_fu1660428975nt_int * fun_Pr2134412615nt_int ) > fun_fu1494809157nt_int ).

tff(hAPP_f1920544743t_bool,type,
    hAPP_f1920544743t_bool: ( fun_fu1206934473t_bool * fun_re413263731l_bool ) > fun_re1171866993t_bool ).

tff('#skF_530',type,
    '#skF_530': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff('#skF_207',type,
    '#skF_207': ( int * fun_int_bool * int ) > int ).

tff('#skF_274',type,
    '#skF_274': ( nat * nat * nat ) > nat ).

tff(hAPP_f1067681227l_real,type,
    hAPP_f1067681227l_real: ( fun_fu1735231789l_real * fun_fu705349683l_real ) > fun_fu46447509l_real ).

tff('#skF_141',type,
    '#skF_141': ( nat * fun_nat_bool ) > nat ).

tff('#skF_184',type,
    '#skF_184': ( real * fun_real_real * real * real ) > real ).

tff('#skF_437',type,
    '#skF_437': rat > int ).

tff(hAPP_f1888375463t_real,type,
    hAPP_f1888375463t_real: ( fun_fu1569755401t_real * fun_nat_real ) > fun_nat_real ).

tff(hAPP_n1865633855at_nat,type,
    hAPP_n1865633855at_nat: ( fun_na257798253at_nat * nat ) > fun_na196172234at_nat ).

tff('#skF_157',type,
    '#skF_157': real > real ).

tff(hAPP_f197615720t_real,type,
    hAPP_f197615720t_real: ( fun_fu247819600t_real * fun_na182379510l_real ) > fun_fu1569755401t_real ).

tff('#skF_431',type,
    '#skF_431': ( nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(ord_le382113706t_bool,type,
    ord_le382113706t_bool: fun_fu1217155507l_bool ).

tff(hAPP_P1853363688nt_rat,type,
    hAPP_P1853363688nt_rat: ( fun_Pr1024438428nt_rat * product_prod_int_int ) > rat ).

tff('#skF_106',type,
    '#skF_106': fun_int_bool > int ).

tff(hAPP_f2062659861at_rat,type,
    hAPP_f2062659861at_rat: ( fun_fu2096040829at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(cOMBC_nat_int_int,type,
    cOMBC_nat_int_int: fun_fu368769085at_int ).

tff(abs_abs_real,type,
    abs_abs_real: fun_real_real ).

tff(z3mod,type,
    z3mod: int > fun_int_int ).

tff(hAPP_f2018027565t_bool,type,
    hAPP_f2018027565t_bool: ( fun_fu1940123285t_bool * fun_Pr1149636328t_bool ) > fun_in1698189120t_bool ).

tff('#skF_266',type,
    '#skF_266': ( real * real * fun_Pr1127657839l_bool * real ) > real ).

tff('#skF_275',type,
    '#skF_275': ( nat * nat ) > nat ).

tff(hAPP_f1485493409l_bool,type,
    hAPP_f1485493409l_bool: ( fun_fu124570627l_bool * fun_bo1549164019l_bool ) > fun_fu1709962923l_bool ).

tff(hAPP_i2104874254nt_int,type,
    hAPP_i2104874254nt_int: ( fun_in941977532nt_int * int ) > fun_Pr1580971581nt_int ).

tff('#skF_15',type,
    '#skF_15': ( fun_Qu817627884t_bool * quickcheck_code_int ) > quickcheck_code_int ).

tff(produc1391996073at_nat,type,
    produc1391996073at_nat: fun_na257798253at_nat > fun_Pr426809139at_nat ).

tff('#skF_339',type,
    '#skF_339': ( fun_nat_bool * nat ) > nat ).

tff('#skF_404',type,
    '#skF_404': ( fun_na182379510l_real * fun_real_real * nat * real ) > real ).

tff(suc,type,
    suc: fun_nat_nat ).

tff(int_gcd,type,
    int_gcd: fun_int_fun_int_int ).

tff('#skF_413',type,
    '#skF_413': ( fun_na182379510l_real * fun_real_real * nat * real ) > real ).

tff(phi,type,
    phi: fun_int_nat ).

tff(sgn_sgn_rat,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(hAPP_f2119767738t_bool,type,
    hAPP_f2119767738t_bool: ( fun_fu1221449756t_bool * fun_int_fun_int_bool ) > fun_int_bool ).

tff(hAPP_f618557131t_bool,type,
    hAPP_f618557131t_bool: ( fun_fu717290361t_bool * fun_nat_nat ) > fun_nat_fun_nat_bool ).

tff('#skF_421',type,
    '#skF_421': ( fun_nat_real * real * nat ) > nat ).

tff('#skF_516',type,
    '#skF_516': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff(size_size_complex,type,
    size_size_complex: fun_complex_nat ).

tff(product_Pair_int_int,type,
    product_Pair_int_int: fun_in1111845413nt_int ).

tff(code_nat_of_aux,type,
    code_nat_of_aux: code_code_numeral > fun_nat_nat ).

tff('#skF_245',type,
    '#skF_245': ( nat * nat ) > nat ).

tff(ii,type,
    ii: complex ).

tff(power_power_complex,type,
    power_power_complex: fun_co777804144omplex ).

tff(cOMBC_707974837nt_int,type,
    cOMBC_707974837nt_int: fun_fu1857222709nt_int ).

tff(hAPP_nat_fun_rat_rat,type,
    hAPP_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(produc1518849193nt_int,type,
    produc1518849193nt_int: fun_in1111845413nt_int > fun_Pr241715507nt_int ).

tff(hAPP_f332806115t_bool,type,
    hAPP_f332806115t_bool: ( fun_fu1212385221t_bool * fun_re1171866993t_bool ) > fun_re521366895t_bool ).

tff(hAPP_f1173902867t_bool,type,
    hAPP_f1173902867t_bool: ( fun_fu1716408315t_bool * fun_real_bool ) > fun_fu2100483183t_bool ).

tff(hAPP_f1169087445t_real,type,
    hAPP_f1169087445t_real: ( fun_fu2147105085t_real * fun_fu2064567419t_real ) > fun_fu1275190971t_real ).

tff(hAPP_r938550413l_real,type,
    hAPP_r938550413l_real: ( fun_re923322561l_real * real ) > fun_Pr1375198143l_real ).

tff('#skF_172',type,
    '#skF_172': nat > nat ).

tff(cOMBC_2010481033l_real,type,
    cOMBC_2010481033l_real: fun_fu2028862895l_real ).

tff('#skF_528',type,
    '#skF_528': ( fun_int_bool * fun_int_bool * fun_int_bool * int ) > int ).

tff(hAPP_f59594445l_real,type,
    hAPP_f59594445l_real: ( fun_fu2028862895l_real * fun_re1879328022l_real ) > fun_fu424979764l_real ).

tff(cOMBC_295337211t_real,type,
    cOMBC_295337211t_real: fun_fu1790089701t_real ).

tff('#skF_436',type,
    '#skF_436': rat > product_prod_int_int ).

tff(cOMBB_3698607l_real,type,
    cOMBB_3698607l_real: fun_fu1140645055l_real ).

tff(number_number_of_nat,type,
    number_number_of_nat: fun_int_nat ).

tff(cOMBC_1801450329t_bool,type,
    cOMBC_1801450329t_bool: fun_fu1175943503t_bool ).

tff(hAPP_f1261108921t_bool,type,
    hAPP_f1261108921t_bool: ( fun_fu10424993t_bool * fun_fu1083576549t_bool ) > fun_fu1124178569t_bool ).

tff(hAPP_nat_fun_nat_nat,type,
    hAPP_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(hAPP_f1832844496t_bool,type,
    hAPP_f1832844496t_bool: ( fun_fu1107106820t_bool * fun_int_bool ) > fun_re386138607t_bool ).

tff(hAPP_f1908301369l_real,type,
    hAPP_f1908301369l_real: ( fun_fu2079587053l_real * fun_re923322561l_real ) > fun_fu1589711101l_real ).

tff('#skF_503',type,
    '#skF_503': ( int * int * int * fun_int_bool * int ) > int ).

tff('#skF_257',type,
    '#skF_257': ( nat * real * real * fun_Pr1127657839l_bool ) > real ).

tff(hAPP_f324002831l_real,type,
    hAPP_f324002831l_real: ( fun_fu1403389123l_real * fun_re1550493891l_real ) > fun_re10870101l_real ).

tff(dvd_dvd_complex,type,
    dvd_dvd_complex: fun_co2094889951x_bool ).

tff(hAPP_f203520653l_real,type,
    hAPP_f203520653l_real: ( fun_fu888010351l_real * fun_re229243589l_real ) > fun_re229243589l_real ).

tff('#skF_249',type,
    '#skF_249': ( nat * nat ) > nat ).

tff(hAPP_f659380387ol_int,type,
    hAPP_f659380387ol_int: ( fun_fun_nat_bool_int * fun_nat_bool ) > int ).

tff('#skF_173',type,
    '#skF_173': nat > nat ).

tff(number528085621omplex,type,
    number528085621omplex: fun_int_complex ).

tff('#skF_119',type,
    '#skF_119': ( nat * nat * fun_nat_bool * nat ) > nat ).

tff('#skF_360',type,
    '#skF_360': rat > rat ).

tff(cOMBB_int_bool_int,type,
    cOMBB_int_bool_int: fun_fu2112913523t_bool ).

tff(cOMBS_real_real_real,type,
    cOMBS_real_real_real: fun_fu647765353l_real ).

tff('#skF_94',type,
    '#skF_94': ( fun_int_fun_int_bool * int * int ) > int ).

tff(hAPP_f224989205l_real,type,
    hAPP_f224989205l_real: ( fun_fu658053629l_real * fun_na182379510l_real ) > fun_fu1254259254l_real ).

tff(hAPP_f2126667875l_real,type,
    hAPP_f2126667875l_real: ( fun_fu93779013l_real * fun_na768876520l_real ) > fun_re1191071736l_real ).

tff(hAPP_f74147283t_real,type,
    hAPP_f74147283t_real: ( fun_fu1275190971t_real * fun_in7315610l_real ) > fun_in1390825880t_real ).

tff(cOMBI_nat,type,
    cOMBI_nat: fun_nat_nat ).

tff(hAPP_f894608603t_bool,type,
    hAPP_f894608603t_bool: ( fun_fu1509210819t_bool * fun_bool_bool ) > fun_fu821463397t_bool ).

tff(hAPP_f1115375056t_bool,type,
    hAPP_f1115375056t_bool: ( fun_fu1842467588t_bool * fun_nat_bool ) > fun_re2063775123t_bool ).

tff('#skF_34',type,
    '#skF_34': ( fun_int_bool * int * int ) > int ).

tff(hAPP_f1900950721nt_rat,type,
    hAPP_f1900950721nt_rat: ( fun_fu1032682793nt_rat * fun_int_int ) > fun_int_rat ).

tff(hAPP_f695504873l_bool,type,
    hAPP_f695504873l_bool: ( fun_fu2054751691l_bool * fun_re413263731l_bool ) > fun_re413263731l_bool ).

tff('#skF_164',type,
    '#skF_164': ( real * real ) > nat ).

tff(dist_dist_real,type,
    dist_dist_real: real > fun_real_real ).

tff(big_co1758102091ol_nat,type,
    big_co1758102091ol_nat: fun_fu1721998267ol_nat ).

tff(hAPP_f389116883t_bool,type,
    hAPP_f389116883t_bool: ( fun_fu1258735291t_bool * fun_fu425979586l_bool ) > fun_fu1290768832t_bool ).

tff('#skF_277',type,
    '#skF_277': ( nat * nat ) > nat ).

tff('#skF_45',type,
    '#skF_45': ( quickcheck_code_int * quickcheck_code_int ) > quickcheck_code_int ).

tff('#skF_137',type,
    '#skF_137': ( real * real ) > real ).

tff('#skF_150',type,
    '#skF_150': ( int * fun_nat_int * nat ) > nat ).

tff(hAPP_P1586233937at_nat,type,
    hAPP_P1586233937at_nat: ( fun_Pr426809139at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff('#skF_269',type,
    '#skF_269': fun_Pr1127657839l_bool > real ).

tff('#skF_91',type,
    '#skF_91': ( nat * nat * nat ) > nat ).

tff(hAPP_f1547007718nt_rat,type,
    hAPP_f1547007718nt_rat: ( fun_fu1407349192nt_rat * fun_Pr480351984nt_int ) > fun_Pr1826394355nt_rat ).

tff('#skF_507',type,
    '#skF_507': ( int * int ) > int ).

tff(hAPP_f1311564564nt_int,type,
    hAPP_f1311564564nt_int: ( fun_fu1594210934nt_int * fun_in941977532nt_int ) > fun_fu1379407829nt_int ).

tff('#skF_390',type,
    '#skF_390': ( real * nat * fun_na182379510l_real * fun_real_real ) > real ).

tff(multInvPair,type,
    multInvPair: ( int * int ) > fun_int_fun_int_bool ).

tff(hAPP_f55007289nt_int,type,
    hAPP_f55007289nt_int: ( fun_fu30999661nt_int * fun_in1111845413nt_int ) > fun_in2124216673nt_int ).

tff(hAPP_f1736103445l_real,type,
    hAPP_f1736103445l_real: ( fun_fu1589711101l_real * fun_re785671361l_real ) > fun_re785671361l_real ).

tff('#skF_477',type,
    '#skF_477': ( int * fun_int_bool * int * int ) > int ).

tff('#skF_473',type,
    '#skF_473': ( int * fun_int_bool * int * int ) > int ).

tff('#skF_403',type,
    '#skF_403': ( fun_na182379510l_real * fun_real_real * nat * real ) > nat ).

tff(hAPP_f534361363nt_int,type,
    hAPP_f534361363nt_int: ( fun_fu1570293243nt_int * fun_fu2104383023nt_int ) > fun_fu1504258989nt_int ).

tff(hAPP_f1501066425l_bool,type,
    hAPP_f1501066425l_bool: ( fun_fu586093159l_bool * fun_real_bool ) > bool ).

tff(divmod_int,type,
    divmod_int: ( int * int ) > product_prod_int_int ).

tff(big_co387207925at_nat,type,
    big_co387207925at_nat: fun_fu990052945ol_nat ).

tff(hAPP_r1134773055l_bool,type,
    hAPP_r1134773055l_bool: ( fun_re413263731l_bool * real ) > fun_real_bool ).

tff(posDivAlg,type,
    posDivAlg: ( int * int ) > product_prod_int_int ).

tff(cOMBC_226598744l_bool,type,
    cOMBC_226598744l_bool: fun_fu80187629t_bool ).

tff('#skF_251',type,
    '#skF_251': nat > nat ).

tff(ord_less_eq_nat,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff('#skF_30',type,
    '#skF_30': ( real * nat ) > real ).

tff('#skF_32',type,
    '#skF_32': int > int ).

tff(hAPP_f627970963t_bool,type,
    hAPP_f627970963t_bool: ( fun_fu1909738875t_bool * fun_bool_bool ) > fun_fu554825757t_bool ).

tff(hAPP_f1732848529l_real,type,
    hAPP_f1732848529l_real: ( fun_fu1091783237l_real * fun_re229243589l_real ) > fun_re1227808089l_real ).

tff('#skF_317',type,
    '#skF_317': int > nat ).

tff('#skF_469',type,
    '#skF_469': ( int * fun_int_bool * int * int ) > int ).

tff('#skF_49',type,
    '#skF_49': ( code_code_numeral * code_code_numeral ) > code_code_numeral ).

tff(cOMBB_2050079537l_real,type,
    cOMBB_2050079537l_real: fun_fu663780939t_bool ).

tff(collect_nat,type,
    collect_nat: fun_nat_bool > fun_nat_bool ).

tff(hAPP_f1399575567t_bool,type,
    hAPP_f1399575567t_bool: ( fun_fu1997740657t_bool * fun_int_fun_int_bool ) > fun_fu215647537t_bool ).

tff(hAPP_f563293398t_real,type,
    hAPP_f563293398t_real: ( fun_fu90252420t_real * fun_int_int ) > fun_int_real ).

tff(cOMBB_222539774nt_int,type,
    cOMBB_222539774nt_int: fun_fu200534695nt_int ).

tff(times_times_int,type,
    times_times_int: fun_int_fun_int_int ).

tff('#skF_132',type,
    '#skF_132': int > nat ).

tff('#skF_142',type,
    '#skF_142': ( nat * nat ) > nat ).

tff(hAPP_f1315737299t_bool,type,
    hAPP_f1315737299t_bool: ( fun_fu2032273339t_bool * fun_in531499254l_bool ) > fun_in719570932t_bool ).

tff('#skF_56',type,
    '#skF_56': ( real * real ) > real ).

tff(cOMBB_2092576745l_real,type,
    cOMBB_2092576745l_real: fun_fu778540235l_real ).

tff(cOMBC_nat_real_real,type,
    cOMBC_nat_real_real: fun_fu513207213t_real ).

tff(hAPP_f538565589t_bool,type,
    hAPP_f538565589t_bool: ( fun_fu1620940093t_bool * fun_fu1909738875t_bool ) > fun_fu2032273339t_bool ).

tff('#skF_242',type,
    '#skF_242': ( nat * nat ) > nat ).

tff(cOMBB_47643171nt_int,type,
    cOMBB_47643171nt_int: fun_fu2013528197nt_int ).

tff(cOMBB_1550063917nt_int,type,
    cOMBB_1550063917nt_int: fun_fu790805891l_bool ).

tff('#skF_304',type,
    '#skF_304': ( int * int * int * int * int * int * int * int * int ) > int ).

tff(ring_1_of_int_int,type,
    ring_1_of_int_int: fun_int_int ).

tff('#skF_243',type,
    '#skF_243': nat > nat ).

tff(uminus_uminus_real,type,
    uminus_uminus_real: fun_real_real ).

tff(hAPP_f1845081853t_bool,type,
    hAPP_f1845081853t_bool: ( fun_fu1524626405t_bool * fun_in1251377736l_bool ) > fun_re546217968t_bool ).

tff(zprime,type,
    zprime: fun_int_bool ).

tff('#skF_305',type,
    '#skF_305': ( int * int * int * int * int ) > int ).

tff(int_ge_less_than,type,
    int_ge_less_than: int > fun_Pr974702441t_bool ).

tff(hAPP_n522471361de_int,type,
    hAPP_n522471361de_int: ( fun_na295310377de_int * nat ) > quickcheck_code_int ).

tff(cOMBB_421464275l_real,type,
    cOMBB_421464275l_real: fun_fu739403697t_real ).

tff('#skF_344',type,
    '#skF_344': ( fun_nat_fun_nat_bool * nat * nat ) > nat ).

tff(image_nat_int,type,
    image_nat_int: ( fun_nat_int * fun_nat_bool ) > fun_int_bool ).

tff('#skF_439',type,
    '#skF_439': rat > int ).

tff(ord_min_nat,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff('#skF_93',type,
    '#skF_93': ( fun_int_fun_int_bool * int * int ) > int ).

tff(hAPP_f1950183573l_real,type,
    hAPP_f1950183573l_real: ( fun_fu1564476029l_real * fun_real_real ) > fun_real_real ).

tff('#skF_408',type,
    '#skF_408': ( nat * fun_na182379510l_real * fun_real_real * real ) > real ).

tff('#skF_556',type,
    '#skF_556': ( fun_real_real * fun_real_real * real * real ) > real ).

tff(t,type,
    t: int ).

tff(hAPP_i345030060t_bool,type,
    hAPP_i345030060t_bool: ( fun_in351380826t_bool * int ) > fun_int_fun_int_bool ).

tff(semiri151668891at_rat,type,
    semiri151668891at_rat: fun_nat_rat ).

tff(fact,type,
    fact: fun_nat_nat ).

tff(size_s945831648umeral,type,
    size_s945831648umeral: fun_Co116562173al_nat ).

tff('#skF_202',type,
    '#skF_202': complex > real ).

tff(zOdd,type,
    zOdd: fun_int_bool ).

tff(hAPP_f115998247l_bool,type,
    hAPP_f115998247l_bool: ( fun_fu791988693l_bool * fun_Pr587612383t_bool ) > bool ).

tff(product_snd_nat_nat,type,
    product_snd_nat_nat: fun_Pr1434736532at_nat ).

tff(cOMBB_563965291nt_int,type,
    cOMBB_563965291nt_int: fun_fu1720497139nt_int ).

tff(cOMBC_int_int_bool,type,
    cOMBC_int_int_bool: fun_fu257678363t_bool ).

tff(hAPP_f1084724746t_bool,type,
    hAPP_f1084724746t_bool: ( fun_fu1530049726t_bool * fun_Pr1024438428nt_rat ) > fun_Pr974702441t_bool ).

tff(hAPP_f1290670424t_real,type,
    hAPP_f1290670424t_real: ( fun_fu1647323910t_real * fun_nat_complex ) > fun_nat_real ).

tff(hAPP_f1293550189l_real,type,
    hAPP_f1293550189l_real: ( fun_fu1617913499l_real * fun_re785671361l_real ) > fun_re923322561l_real ).

tff('#skF_295',type,
    '#skF_295': ( nat * nat * nat * nat ) > nat ).

tff(hAPP_b1463609396nt_int,type,
    hAPP_b1463609396nt_int: ( fun_bo1947501544nt_int * bool ) > fun_int_fun_int_int ).

tff('#skF_480',type,
    '#skF_480': ( int * fun_int_bool * int * int ) > int ).

tff('#skF_306',type,
    '#skF_306': ( int * int * int * int * int ) > int ).

tff(isCont156215680omplex,type,
    isCont156215680omplex: fun_complex_complex > fun_complex_bool ).

tff(ring_1_Ints_real,type,
    ring_1_Ints_real: fun_real_bool ).

tff(nat_is_nat,type,
    nat_is_nat: fun_int_bool ).

tff(inverse_inverse_real,type,
    inverse_inverse_real: fun_real_real ).

tff('#skF_486',type,
    '#skF_486': ( int * fun_int_bool * int * int ) > int ).

tff('#skF_168',type,
    '#skF_168': real > nat ).

tff(cOMBB_1484610687nt_int,type,
    cOMBB_1484610687nt_int: fun_fu731020837nt_int ).

tff(hAPP_f41603166t_bool,type,
    hAPP_f41603166t_bool: ( fun_fu1290768832t_bool * fun_int_fun_nat_bool ) > fun_int_bool ).

tff(collec1979865426at_nat,type,
    collec1979865426at_nat: fun_Pr1927655017t_bool > fun_Pr1927655017t_bool ).

tff(quickcheck_int_of,type,
    quickcheck_int_of: quickcheck_code_int > int ).

tff('#skF_384',type,
    '#skF_384': ( nat * fun_nat_real ) > nat ).

tff('#skF_140',type,
    '#skF_140': nat > nat ).

tff(hAPP_r2052264067t_bool,type,
    hAPP_r2052264067t_bool: ( fun_re811280567t_bool * real ) > fun_fu806471093t_bool ).

tff('#skF_430',type,
    '#skF_430': fun_nat_bool > nat ).

tff(hAPP_f1161935955l_real,type,
    hAPP_f1161935955l_real: ( fun_fu1697185671l_real * fun_re69907033l_real ) > fun_re1414183599l_real ).

tff('#skF_448',type,
    '#skF_448': fun_nat_real > nat ).

tff(cOMBB_182850971nt_int,type,
    cOMBB_182850971nt_int: fun_fu608458793t_bool ).

tff(arcsin,type,
    arcsin: fun_real_real ).

tff(hAPP_f103356543l_bool,type,
    hAPP_f103356543l_bool: ( fun_fu1217155507l_bool * fun_nat_bool ) > fun_fu425979586l_bool ).

tff(times_times_rat,type,
    times_times_rat: fun_rat_fun_rat_rat ).

tff(zero_zero_int,type,
    zero_zero_int: int ).

tff(cauchy_complex,type,
    cauchy_complex: fun_nat_complex > bool ).

tff('#skF_37',type,
    '#skF_37': ( fun_int_bool * int * int ) > int ).

tff(cOMBB_1948233853l_real,type,
    cOMBB_1948233853l_real: fun_fu59052337t_real ).

tff(hAPP_f1523861863l_real,type,
    hAPP_f1523861863l_real: ( fun_fu46447509l_real * fun_re1927296998t_real ) > fun_re1879328022l_real ).

tff('#skF_372',type,
    '#skF_372': ( nat * fun_nat_nat ) > nat ).

tff(hAPP_f940061907l_bool,type,
    hAPP_f940061907l_bool: ( fun_fu223014715l_bool * fun_Pr1127657839l_bool ) > fun_fu1280874925l_bool ).

tff(legacy_zgcd,type,
    legacy_zgcd: int > fun_int_int ).

tff('#skF_365',type,
    '#skF_365': ( real * fun_nat_real * real ) > real ).

tff(hAPP_f1960414057l_real,type,
    hAPP_f1960414057l_real: ( fun_fu1211077835l_real * fun_re229243589l_real ) > fun_fu2120820641l_real ).

tff('#skF_46',type,
    '#skF_46': ( rat * rat ) > rat ).

tff(hAPP_f291087797t_bool,type,
    hAPP_f291087797t_bool: ( fun_fu686082665t_bool * fun_Pr480351984nt_int ) > fun_Pr1149636328t_bool ).

tff(image_int_nat,type,
    image_int_nat: ( fun_int_nat * fun_int_bool ) > fun_nat_bool ).

tff(one_one_complex,type,
    one_one_complex: complex ).

tff('#skF_131',type,
    '#skF_131': int > nat ).

tff(hAPP_int_real,type,
    hAPP_int_real: ( fun_int_real * int ) > real ).

tff(hAPP_f1082758869at_rat,type,
    hAPP_f1082758869at_rat: ( fun_fu513399869at_rat * fun_rat_rat ) > fun_fu2096040829at_rat ).

tff(cOMBB_1015721476ol_nat,type,
    cOMBB_1015721476ol_nat: fun_fu1849968923l_bool ).

tff('#skF_409',type,
    '#skF_409': ( fun_na182379510l_real * fun_real_real * nat * real ) > nat ).

tff(sin_coeff,type,
    sin_coeff: fun_nat_real ).

tff(cOMBB_1308947378al_nat,type,
    cOMBB_1308947378al_nat: fun_fu349214399l_real ).

tff(quickc495462417de_int,type,
    quickc495462417de_int: ( quickcheck_code_int * quickcheck_code_int ) > produc167071911de_int ).

tff('#skF_284',type,
    '#skF_284': ( fun_nat_real * nat ) > nat ).

tff(z3div,type,
    z3div: int > fun_int_int ).

tff(hAPP_f429384717t_bool,type,
    hAPP_f429384717t_bool: ( fun_fu2100483183t_bool * fun_int_real ) > fun_int_bool ).

tff('#skF_423',type,
    '#skF_423': ( real * fun_nat_real ) > nat ).

tff(real_int,type,
    real_int: fun_int_real ).

tff(hAPP_f11709033t_bool,type,
    hAPP_f11709033t_bool: ( fun_fu2062813463t_bool * fun_Pr755126262t_bool ) > fun_fu104040328t_bool ).

tff('#skF_415',type,
    '#skF_415': ( nat * real * fun_na182379510l_real * fun_real_real ) > nat ).

tff('#skF_468',type,
    '#skF_468': ( int * fun_int_bool * int * int ) > int ).

tff(cOMBB_430461877l_real,type,
    cOMBB_430461877l_real: fun_fu987960615l_bool ).

tff(nat_tsub,type,
    nat_tsub: int > fun_int_int ).

tff(isCont_real_real,type,
    isCont_real_real: fun_real_real > fun_real_bool ).

tff(f_1596,axiom,
    ! [A_231: int,B_165: int] : ( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_231),B_165) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_165),A_231) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_513_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).

tff(f_15821,axiom,
    hAPP_int_int(uminus_uminus_int,min) = hAPP_int_int(bit1,pls),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3538_minus__Min) ).

tff(f_15816,axiom,
    ! [K_2: int] : ( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,min),K_2) = hAPP_int_int(uminus_uminus_int,K_2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3535_mult__Min) ).

tff(f_20570,axiom,
    number1226105091de_int = quickcheck_of_int,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4558_number__of__code__int__def) ).

tff(f_20569,axiom,
    ! [N: int] : ( quickcheck_int_of(hAPP_i1732201573de_int(quickcheck_of_int,N)) = N ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4557_int__of__of__int) ).

tff(f_19146,axiom,
    ! [K_2: int] : ( quickcheck_int_of(hAPP_i1732201573de_int(number1226105091de_int,K_2)) = hAPP_int_int(number_number_of_int,K_2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4256_int__of__number) ).

tff(f_2577,axiom,
    ! [Ma: int,N_1: int] :
      ( ( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ma),N_1) = one_one_int )
    <=> ( ( ( Ma = one_one_int )
          & ( N_1 = one_one_int ) )
        | ( ( Ma = hAPP_int_int(number_number_of_int,min) )
          & ( N_1 = hAPP_int_int(number_number_of_int,min) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_789_zmult__eq__1__iff) ).

tff(f_14799,axiom,
    ! [K_2: int] : ( hAPP_int_int(succ,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3294_succ__def) ).

tff(f_21122,axiom,
    ! [K_2: int] : ( quotient_of(hAPP_int_rat(number_number_of_rat,K_2)) = hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,K_2)),one_one_int) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4664_quotient__of__number_I3_J) ).

tff(f_8096,axiom,
    hAPP_P1175774780nt_int(twoSqu2000912462sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1836__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096) ).

tff(f_17063,axiom,
    ! [M: nat] :
      ( ( ( M = zero_zero_nat )
       => ( hAPP_nat_nat(fact_fact_nat,M) = one_one_nat ) )
      & ( ( M != zero_zero_nat )
       => ( hAPP_nat_nat(fact_fact_nat,M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),one_one_nat))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3815_fact__num__eq__if__nat) ).

tff(f_17023,axiom,
    hAPP_nat_nat(fact_fact_nat,zero_zero_nat) = hAPP_nat_nat(suc,zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3804_Fact_Ofact__0__nat) ).

tff(f_14377,axiom,
    hAPP_int_nat(nat_1,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3226_nat__2) ).

tff(f_12215,axiom,
    ! [W: int] : ( hAPP_int_nat(nat_1,hAPP_int_int(number_number_of_int,W)) = hAPP_int_nat(number_number_of_nat,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2715_nat__number__of) ).

tff(f_1363,axiom,
    ! [X_39: int] : ( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_39),X_39) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_39),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_434_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).

tff(f_35,axiom,
    hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_t) ).

tff(f_1087,axiom,
    zero_zero_int = hAPP_int_int(number_number_of_int,pls),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_318_semiring__norm_I112_J) ).

tff(f_14241,axiom,
    hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)) = hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3196_semiring__norm_I115_J) ).

tff(f_24598,negated_conjecture,
    ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f_2877,axiom,
    ! [A_203: int] : ( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_203),zero_zero_int) = zero_zero_int ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_839_mult__zero__right) ).

tff(f_34,axiom,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).

tff(c_1380,plain,
    ! [B_165_824: int,A_231_823: int] : ( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_165_824),A_231_823) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_231_823),B_165_824) ),
    inference(cnfTransformation,[status(thm)],[f_1596]) ).

tff(c_9769,plain,
    hAPP_int_int(uminus_uminus_int,min) = hAPP_int_int(bit1,pls),
    inference(cnfTransformation,[status(thm)],[f_15821]) ).

tff(c_9763,plain,
    ! [K_2_7823: int] : ( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,min),K_2_7823) = hAPP_int_int(uminus_uminus_int,K_2_7823) ),
    inference(cnfTransformation,[status(thm)],[f_15816]) ).

tff(c_12802,plain,
    quickcheck_of_int = number1226105091de_int,
    inference(cnfTransformation,[status(thm)],[f_20570]) ).

tff(c_12800,plain,
    ! [N_9978: int] : ( quickcheck_int_of(hAPP_i1732201573de_int(quickcheck_of_int,N_9978)) = N_9978 ),
    inference(cnfTransformation,[status(thm)],[f_20569]) ).

tff(c_17589,plain,
    ! [N_9978: int] : ( quickcheck_int_of(hAPP_i1732201573de_int(number1226105091de_int,N_9978)) = N_9978 ),
    inference(demodulation,[status(thm),theory(equality)],[c_12802,c_12800]) ).

tff(c_11887,plain,
    ! [K_2_9142: int] : ( quickcheck_int_of(hAPP_i1732201573de_int(number1226105091de_int,K_2_9142)) = hAPP_int_int(number_number_of_int,K_2_9142) ),
    inference(cnfTransformation,[status(thm)],[f_19146]) ).

tff(c_17853,plain,
    ! [K_2_9142: int] : ( hAPP_int_int(number_number_of_int,K_2_9142) = K_2_9142 ),
    inference(demodulation,[status(thm),theory(equality)],[c_17589,c_11887]) ).

tff(c_2080,plain,
    hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_int(number_number_of_int,min)) = one_one_int,
    inference(cnfTransformation,[status(thm)],[f_2577]) ).

tff(c_20241,plain,
    hAPP_int_int(bit1,pls) = one_one_int,
    inference(demodulation,[status(thm),theory(equality)],[c_9769,c_9763,c_17853,c_17853,c_2080]) ).

tff(c_9103,plain,
    ! [K_2_7439: int] : ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2_7439),one_one_int) = hAPP_int_int(succ,K_2_7439) ),
    inference(cnfTransformation,[status(thm)],[f_14799]) ).

tff(c_13133,plain,
    ! [K_2_10238: int] : ( hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,K_2_10238)),one_one_int) = quotient_of(hAPP_int_rat(number_number_of_rat,K_2_10238)) ),
    inference(cnfTransformation,[status(thm)],[f_21122]) ).

tff(c_17863,plain,
    ! [K_2_10238: int] : ( hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,K_2_10238),one_one_int) = quotient_of(hAPP_int_rat(number_number_of_rat,K_2_10238)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_17853,c_13133]) ).

tff(c_4951,plain,
    hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) = hAPP_P1175774780nt_int(twoSqu2000912462sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)),
    inference(cnfTransformation,[status(thm)],[f_8096]) ).

tff(c_19751,plain,
    hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),m))),t) = hAPP_P1175774780nt_int(twoSqu2000912462sum2sq,quotient_of(hAPP_int_rat(number_number_of_rat,s))),
    inference(demodulation,[status(thm),theory(equality)],[c_9103,c_17863,c_17853,c_4951]) ).

tff(c_20449,plain,
    hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))),m))),t) = hAPP_P1175774780nt_int(twoSqu2000912462sum2sq,quotient_of(hAPP_int_rat(number_number_of_rat,s))),
    inference(demodulation,[status(thm),theory(equality)],[c_20241,c_19751]) ).

tff(c_21324,plain,
    hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))) = hAPP_P1175774780nt_int(twoSqu2000912462sum2sq,quotient_of(hAPP_int_rat(number_number_of_rat,s))),
    inference(demodulation,[status(thm),theory(equality)],[c_1380,c_1380,c_20449]) ).

tff(c_10550,plain,
    hAPP_nat_nat(fact_fact_nat,zero_zero_nat) = one_one_nat,
    inference(cnfTransformation,[status(thm)],[f_17063]) ).

tff(c_10528,plain,
    hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(fact_fact_nat,zero_zero_nat),
    inference(cnfTransformation,[status(thm)],[f_17023]) ).

tff(c_18123,plain,
    hAPP_nat_nat(suc,zero_zero_nat) = one_one_nat,
    inference(demodulation,[status(thm),theory(equality)],[c_10550,c_10528]) ).

tff(c_8865,plain,
    hAPP_int_nat(nat_1,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)),
    inference(cnfTransformation,[status(thm)],[f_14377]) ).

tff(c_18546,plain,
    hAPP_int_nat(nat_1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_nat(suc,one_one_nat),
    inference(demodulation,[status(thm),theory(equality)],[c_18123,c_17853,c_8865]) ).

tff(c_20248,plain,
    hAPP_int_nat(nat_1,hAPP_int_int(bit0,one_one_int)) = hAPP_nat_nat(suc,one_one_nat),
    inference(demodulation,[status(thm),theory(equality)],[c_20241,c_18546]) ).

tff(c_7421,plain,
    ! [W_6357: int] : ( hAPP_int_nat(nat_1,hAPP_int_int(number_number_of_int,W_6357)) = hAPP_int_nat(number_number_of_nat,W_6357) ),
    inference(cnfTransformation,[status(thm)],[f_12215]) ).

tff(c_19038,plain,
    ! [W_6357: int] : ( hAPP_int_nat(number_number_of_nat,W_6357) = hAPP_int_nat(nat_1,W_6357) ),
    inference(demodulation,[status(thm),theory(equality)],[c_17853,c_7421]) ).

tff(c_1200,plain,
    ! [X_39_589: int] : ( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_39_589),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_39_589),X_39_589) ),
    inference(cnfTransformation,[status(thm)],[f_1363]) ).

tff(c_21493,plain,
    ! [X_39_589: int] : ( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_39_589),hAPP_nat_nat(suc,one_one_nat)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_39_589),X_39_589) ),
    inference(demodulation,[status(thm),theory(equality)],[c_20248,c_19038,c_20241,c_1200]) ).

tff(c_8,plain,
    hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_23492,plain,
    hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)) = hAPP_P1175774780nt_int(twoSqu2000912462sum2sq,quotient_of(hAPP_int_rat(number_number_of_rat,s))),
    inference(demodulation,[status(thm),theory(equality)],[c_21324,c_1380,c_1380,c_21493,c_20248,c_9103,c_9103,c_19038,c_20241,c_20241,c_17853,c_8]) ).

tff(c_914,plain,
    hAPP_int_int(number_number_of_int,pls) = zero_zero_int,
    inference(cnfTransformation,[status(thm)],[f_1087]) ).

tff(c_21684,plain,
    zero_zero_int = pls,
    inference(demodulation,[status(thm),theory(equality)],[c_17853,c_914]) ).

tff(c_8763,plain,
    hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)),
    inference(cnfTransformation,[status(thm)],[f_14241]) ).

tff(c_18587,plain,
    hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_nat(suc,one_one_nat),
    inference(demodulation,[status(thm),theory(equality)],[c_18123,c_8763]) ).

tff(c_17393,plain,
    ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
    inference(cnfTransformation,[status(thm)],[f_24598]) ).

tff(c_18469,plain,
    ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),zero_zero_int)),
    inference(demodulation,[status(thm),theory(equality)],[c_9103,c_17393]) ).

tff(c_18607,plain,
    ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)))),zero_zero_int)),
    inference(demodulation,[status(thm),theory(equality)],[c_18587,c_18469]) ).

tff(c_21494,plain,
    ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s))),zero_zero_int)),
    inference(demodulation,[status(thm),theory(equality)],[c_21493,c_18607]) ).

tff(c_22033,plain,
    ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s))),pls)),
    inference(demodulation,[status(thm),theory(equality)],[c_21684,c_21494]) ).

tff(c_23493,plain,
    ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu2000912462sum2sq,quotient_of(hAPP_int_rat(number_number_of_rat,s)))),pls)),
    inference(demodulation,[status(thm),theory(equality)],[c_23492,c_22033]) ).

tff(c_2200,plain,
    ! [A_203_1503: int] : ( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_203_1503),zero_zero_int) = zero_zero_int ),
    inference(cnfTransformation,[status(thm)],[f_2877]) ).

tff(c_21768,plain,
    ! [A_203_1503: int] : ( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_203_1503),pls) = pls ),
    inference(demodulation,[status(thm),theory(equality)],[c_21684,c_21684,c_2200]) ).

tff(c_6,plain,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_23497,plain,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu2000912462sum2sq,quotient_of(hAPP_int_rat(number_number_of_rat,s)))),pls)),
    inference(demodulation,[status(thm),theory(equality)],[c_21324,c_1380,c_1380,c_21768,c_9103,c_9103,c_21684,c_20241,c_20241,c_17853,c_17853,c_6]) ).

tff(c_23498,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_23493,c_23497]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : NUM924_4 : TPTP v8.1.2. Released v5.3.0.
% 0.08/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36  % Computer : n024.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 15:18:45 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 284.73/214.09  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 284.73/214.10  
% 284.73/214.10  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 284.73/214.18  
% 284.73/214.18  Inference rules
% 284.73/214.18  ----------------------
% 284.73/214.18  #Ref     : 0
% 284.73/214.18  #Sup     : 0
% 284.73/214.18  #Fact    : 0
% 284.73/214.18  #Define  : 0
% 284.73/214.18  #Split   : 0
% 284.73/214.18  #Chain   : 0
% 284.73/214.18  #Close   : 0
% 284.73/214.18  
% 284.73/214.18  Ordering : KBO
% 284.73/214.18  
% 284.73/214.18  Simplification rules
% 284.73/214.18  ----------------------
% 284.73/214.18  #Subsume      : 7119
% 284.73/214.18  #Demod        : 9602
% 284.73/214.18  #Tautology    : 1512
% 284.73/214.18  #SimpNegUnit  : 9
% 284.73/214.18  #BackRed      : 0
% 284.73/214.18  
% 284.73/214.18  #Partial instantiations: 0
% 284.73/214.18  #Strategies tried      : 1
% 284.73/214.18  
% 284.73/214.18  Timing (in seconds)
% 284.73/214.18  ----------------------
% 284.73/214.18  Preprocessing        : 28.42
% 284.73/214.18  Parsing              : 10.24
% 284.73/214.18  CNF conversion       : 0.92
% 284.73/214.18  Main loop            : 184.62
% 284.73/214.18  Inferencing          : 0.00
% 284.73/214.18  Reduction            : 146.58
% 284.73/214.18  Demodulation         : 124.87
% 284.73/214.18  BG Simplification    : 0.72
% 284.73/214.18  Subsumption          : 25.93
% 284.73/214.18  Abstraction          : 1.54
% 284.73/214.18  MUC search           : 0.00
% 284.73/214.18  Cooper               : 0.00
% 284.73/214.18  Total                : 213.14
% 284.73/214.18  Index Insertion      : 0.00
% 284.82/214.18  Index Deletion       : 0.00
% 284.82/214.18  Index Matching       : 0.00
% 284.82/214.18  BG Taut test         : 0.00
%------------------------------------------------------------------------------