%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP160^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:56 AM UTC 2026
% Result : Theorem 1.48s 0.51s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 25 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 304 ( 8 ~; 0 |; 0 &; 296 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 188 ( 187 usr)
% Number of type conns : 37 ( 37 >; 0 *; 0 +; 0 <<)
% Number of symbols : 687 ( 684 usr; 25 con; 0-6 aty)
% Number of variables : 39 ( 27 ^; 12 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr1614046668nres_d: $tType ).
thf(type_def_6,type,
produc819780758nres_d: $tType ).
thf(type_def_7,type,
set_Pr1712866168nres_d: $tType ).
thf(type_def_8,type,
set_Pr1710101992nres_d: $tType ).
thf(type_def_9,type,
produc1834705330nres_d: $tType ).
thf(type_def_10,type,
set_Pr613277282nres_d: $tType ).
thf(type_def_11,type,
produc809931564nres_d: $tType ).
thf(type_def_12,type,
set_Pr642586912nres_d: $tType ).
thf(type_def_13,type,
set_Pr1436380704nres_b: $tType ).
thf(type_def_14,type,
set_Pr794589344nres_d: $tType ).
thf(type_def_15,type,
set_Pr1652381728nres_c: $tType ).
thf(type_def_16,type,
set_Pr1245537056nres_c: $tType ).
thf(type_def_17,type,
set_Pr24800800nres_d: $tType ).
thf(type_def_18,type,
set_Pr2039330848nres_a: $tType ).
thf(type_def_19,type,
set_Pr818594592nres_b: $tType ).
thf(type_def_20,type,
set_Pr882593184nres_c: $tType ).
thf(type_def_21,type,
set_Pr1824526846nres_d: $tType ).
thf(type_def_22,type,
produc235099114nres_d: $tType ).
thf(type_def_23,type,
produc1869490410nres_b: $tType ).
thf(type_def_24,type,
produc2007659370nres_d: $tType ).
thf(type_def_25,type,
produc1545802474nres_c: $tType ).
thf(type_def_26,type,
produc1811455466nres_c: $tType ).
thf(type_def_27,type,
produc2043357418nres_d: $tType ).
thf(type_def_28,type,
produc1298363114nres_a: $tType ).
thf(type_def_29,type,
produc1530265066nres_b: $tType ).
thf(type_def_30,type,
produc1581500522nres_c: $tType ).
thf(type_def_31,type,
set_Pr1125433775_nat_o: $tType ).
thf(type_def_32,type,
produc416848975_nat_o: $tType ).
thf(type_def_33,type,
set_Pr1413987240nres_d: $tType ).
thf(type_def_34,type,
set_Pr584391464nres_c: $tType ).
thf(type_def_35,type,
set_Pr2080238504nres_d: $tType ).
thf(type_def_36,type,
set_Pr1358127528nres_b: $tType ).
thf(type_def_37,type,
set_Pr1250642728nres_c: $tType ).
thf(type_def_38,type,
produc1479083634nres_d: $tType ).
thf(type_def_39,type,
produc1716397554nres_c: $tType ).
thf(type_def_40,type,
produc1677145714nres_d: $tType ).
thf(type_def_41,type,
produc96971890nres_b: $tType ).
thf(type_def_42,type,
produc1914459634nres_c: $tType ).
thf(type_def_43,type,
set_Pr1146978466nres_d: $tType ).
thf(type_def_44,type,
set_Pr1402127136nres_b: $tType ).
thf(type_def_45,type,
set_Pr451158306nres_d: $tType ).
thf(type_def_46,type,
set_Pr57594146nres_c: $tType ).
thf(type_def_47,type,
set_Pr181592673nres_c: $tType ).
thf(type_def_48,type,
set_Pr797615136nres_d: $tType ).
thf(type_def_49,type,
set_Pr436741343nres_a: $tType ).
thf(type_def_50,type,
set_Pr1052763806nres_b: $tType ).
thf(type_def_51,type,
set_Pr404050976nres_c: $tType ).
thf(type_def_52,type,
set_Pr1602564423_nat_o: $tType ).
thf(type_def_53,type,
produc1757587562nres_d: $tType ).
thf(type_def_54,type,
set_Pr1537816964nres_d: $tType ).
thf(type_def_55,type,
set_Pr1351316363_int_o: $tType ).
thf(type_def_56,type,
produc1616993579_int_o: $tType ).
thf(type_def_57,type,
set_Pr766923865_nat_o: $tType ).
thf(type_def_58,type,
set_Pr1435428853_int_o: $tType ).
thf(type_def_59,type,
set_Pr42712642nres_b: $tType ).
thf(type_def_60,type,
set_Pr119249666nres_d: $tType ).
thf(type_def_61,type,
set_Pr1345535106nres_b: $tType ).
thf(type_def_62,type,
set_Pr1812169344nres_c: $tType ).
thf(type_def_63,type,
set_Pr890971136nres_a: $tType ).
thf(type_def_64,type,
set_Pr1434142398nres_d: $tType ).
thf(type_def_65,type,
set_Pr512944190nres_b: $tType ).
thf(type_def_66,type,
set_Pr979578428nres_c: $tType ).
thf(type_def_67,type,
set_Pr409172028nres_c: $tType ).
thf(type_def_68,type,
set_Pr589481214nres_d: $tType ).
thf(type_def_69,type,
set_Pr1635457468nres_a: $tType ).
thf(type_def_70,type,
set_Pr1815766654nres_b: $tType ).
thf(type_def_71,type,
set_Pr134917244nres_c: $tType ).
thf(type_def_72,type,
set_Pr1361202684nres_a: $tType ).
thf(type_def_73,type,
produc1314004473_nat_o: $tType ).
thf(type_def_74,type,
set_Pr524661639_nat_o: $tType ).
thf(type_def_75,type,
set_Pr1774281699_o_o_o: $tType ).
thf(type_def_76,type,
set_Pr37069423_o_c_c: $tType ).
thf(type_def_77,type,
produc13679884nres_b: $tType ).
thf(type_def_78,type,
produc2052210762nres_c: $tType ).
thf(type_def_79,type,
produc1484956106nres_a: $tType ).
thf(type_def_80,type,
produc1943257992nres_d: $tType ).
thf(type_def_81,type,
produc1376003336nres_b: $tType ).
thf(type_def_82,type,
produc1106446854nres_c: $tType ).
thf(type_def_83,type,
produc2103861704nres_d: $tType ).
thf(type_def_84,type,
produc1536607048nres_b: $tType ).
thf(type_def_85,type,
produc1267050566nres_c: $tType ).
thf(type_def_86,type,
produc699795910nres_a: $tType ).
thf(type_def_87,type,
produc1174115751_nat_o: $tType ).
thf(type_def_88,type,
set_Pr1920786322nres_d: $tType ).
thf(type_def_89,type,
set_Pr1176961680nres_b: $tType ).
thf(type_def_90,type,
set_Pr1408729042nres_c: $tType ).
thf(type_def_91,type,
set_Pr664904400nres_a: $tType ).
thf(type_def_92,type,
set_Pr1640496404nres_d: $tType ).
thf(type_def_93,type,
set_Pr194842259nres_c: $tType ).
thf(type_def_94,type,
set_Pr896671762nres_b: $tType ).
thf(type_def_95,type,
set_Pr1598501265nres_a: $tType ).
thf(type_def_96,type,
set_Pr426609621nres_d: $tType ).
thf(type_def_97,type,
set_Pr1128439124nres_c: $tType ).
thf(type_def_98,type,
set_Pr1830268627nres_b: $tType ).
thf(type_def_99,type,
set_Pr384614482nres_a: $tType ).
thf(type_def_100,type,
set_Pr1524520971nt_o_o: $tType ).
thf(type_def_101,type,
set_Pr1371175689_o_o_o: $tType ).
thf(type_def_102,type,
set_Pr68707591_o_o_o: $tType ).
thf(type_def_103,type,
produc1410942426nres_b: $tType ).
thf(type_def_104,type,
produc1565049884nres_c: $tType ).
thf(type_def_105,type,
produc1433404954nres_a: $tType ).
thf(type_def_106,type,
produc1719157342nres_d: $tType ).
thf(type_def_107,type,
produc1587512412nres_b: $tType ).
thf(type_def_108,type,
produc1741619870nres_c: $tType ).
thf(type_def_109,type,
produc1609974940nres_a: $tType ).
thf(type_def_110,type,
produc496448427nt_o_o: $tType ).
thf(type_def_111,type,
set_Pr807116335_c_c_c: $tType ).
thf(type_def_112,type,
set_Pr1659864199_nat_o: $tType ).
thf(type_def_113,type,
set_Pr1320171143_int_o: $tType ).
thf(type_def_114,type,
produc1039600167_o_o_o: $tType ).
thf(type_def_115,type,
set_Pr46530663_o_c_c: $tType ).
thf(type_def_116,type,
refine116648739nres_d: $tType ).
thf(type_def_117,type,
refine1696877731nres_b: $tType ).
thf(type_def_118,type,
set_Pr2088790547_o_o_o: $tType ).
thf(type_def_119,type,
produc724473255_nat_o: $tType ).
thf(type_def_120,type,
produc480790439_int_o: $tType ).
thf(type_def_121,type,
set_Pr2058424041at_o_o: $tType ).
thf(type_def_122,type,
set_Pr1006121889nt_o_o: $tType ).
thf(type_def_123,type,
set_Pr1495585653nt_o_o: $tType ).
thf(type_def_124,type,
set_Pr1673989513_c_c_c: $tType ).
thf(type_def_125,type,
set_Pr1357842111at_nat: $tType ).
thf(type_def_126,type,
set_Pr1749533559at_int: $tType ).
thf(type_def_127,type,
set_Pr1719254903nt_nat: $tType ).
thf(type_def_128,type,
set_Pr2110946351nt_int: $tType ).
thf(type_def_129,type,
produc1839156403_o_o_o: $tType ).
thf(type_def_130,type,
set_Pr1933985801_c_o_o: $tType ).
thf(type_def_131,type,
set_Pr1955643401_o_o_c: $tType ).
thf(type_def_132,type,
produc482595465at_o_o: $tType ).
thf(type_def_133,type,
produc426758977nt_o_o: $tType ).
thf(type_def_134,type,
set_Pr618353415_o_o_o: $tType ).
thf(type_def_135,type,
set_Pr933902153_nat_c: $tType ).
thf(type_def_136,type,
set_Pr1575377993_int_c: $tType ).
thf(type_def_137,type,
produc1281043295at_nat: $tType ).
thf(type_def_138,type,
produc610583575at_int: $tType ).
thf(type_def_139,type,
produc1389674519nt_nat: $tType ).
thf(type_def_140,type,
produc719214799nt_int: $tType ).
thf(type_def_141,type,
set_Pr310822599_nat_o: $tType ).
thf(type_def_142,type,
set_Pr94755271_int_o: $tType ).
thf(type_def_143,type,
set_Pr343524935_o_nat: $tType ).
thf(type_def_144,type,
set_Pr1437791047_o_int: $tType ).
thf(type_def_145,type,
produc1838469673_c_o_o: $tType ).
thf(type_def_146,type,
produc2056997417_o_o_c: $tType ).
thf(type_def_147,type,
produc46704423_o_o_o: $tType ).
thf(type_def_148,type,
set_Pr1234209675_a_c_c: $tType ).
thf(type_def_149,type,
produc1144174441_nat_c: $tType ).
thf(type_def_150,type,
produc1769036905_int_c: $tType ).
thf(type_def_151,type,
set_Pr709440729_a_o_c: $tType ).
thf(type_def_152,type,
produc878596327_nat_o: $tType ).
thf(type_def_153,type,
produc1620501479_int_o: $tType ).
thf(type_def_154,type,
produc1991839847_o_nat: $tType ).
thf(type_def_155,type,
produc922271079_o_int: $tType ).
thf(type_def_156,type,
set_Pr934623755_o_o_o: $tType ).
thf(type_def_157,type,
set_Pr1986765409at_nat: $tType ).
thf(type_def_158,type,
set_Pr1858794777nt_int: $tType ).
thf(type_def_159,type,
product_prod_a_a_c_c: $tType ).
thf(type_def_160,type,
product_prod_o_a_o_c: $tType ).
thf(type_def_161,type,
product_prod_o_o_o_o: $tType ).
thf(type_def_162,type,
refine449204144nres_d: $tType ).
thf(type_def_163,type,
refine440942639nres_c: $tType ).
thf(type_def_164,type,
refine432681134nres_b: $tType ).
thf(type_def_165,type,
refine424419629nres_a: $tType ).
thf(type_def_166,type,
set_Product_prod_d_d: $tType ).
thf(type_def_167,type,
set_Product_prod_d_b: $tType ).
thf(type_def_168,type,
set_Product_prod_c_c: $tType ).
thf(type_def_169,type,
set_Product_prod_c_a: $tType ).
thf(type_def_170,type,
set_Product_prod_b_d: $tType ).
thf(type_def_171,type,
set_Product_prod_b_c: $tType ).
thf(type_def_172,type,
set_Product_prod_b_b: $tType ).
thf(type_def_173,type,
set_Product_prod_b_a: $tType ).
thf(type_def_174,type,
set_Product_prod_a_d: $tType ).
thf(type_def_175,type,
set_Product_prod_a_c: $tType ).
thf(type_def_176,type,
set_Product_prod_a_b: $tType ).
thf(type_def_177,type,
set_Product_prod_a_a: $tType ).
thf(type_def_178,type,
product_prod_nat_nat: $tType ).
thf(type_def_179,type,
product_prod_int_int: $tType ).
thf(type_def_180,type,
set_Product_prod_o_o: $tType ).
thf(type_def_181,type,
product_prod_b_d: $tType ).
thf(type_def_182,type,
product_prod_a_c: $tType ).
thf(type_def_183,type,
product_prod_a_a: $tType ).
thf(type_def_184,type,
product_prod_o_o: $tType ).
thf(type_def_185,type,
autoref_annot: $tType ).
thf(type_def_186,type,
nat: $tType ).
thf(type_def_187,type,
int: $tType ).
thf(type_def_188,type,
d: $tType ).
thf(type_def_189,type,
c: $tType ).
thf(type_def_190,type,
b: $tType ).
thf(type_def_191,type,
a: $tType ).
thf(type_def_192,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
autore867490625_o_c_c: ( ( $o > $o ) > ( ( $o > $o ) > c ) > c ) > autoref_annot > ( $o > $o ) > ( ( $o > $o ) > c ) > c ).
thf(func_def_1,type,
autore1880283407_int_o: ( int > ( int > int > $o ) > int > $o ) > autoref_annot > int > ( int > int > $o ) > int > $o ).
thf(func_def_2,type,
autore1153274959nt_o_o: ( int > ( int > $o ) > $o ) > autoref_annot > int > ( int > $o ) > $o ).
thf(func_def_3,type,
autore1290907938nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > autoref_annot > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_4,type,
autore1757597947_o_o_o: ( c > ( c > $o > $o ) > $o > $o ) > autoref_annot > c > ( c > $o > $o ) > $o > $o ).
thf(func_def_5,type,
autore956520418nres_c: ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > autoref_annot > c > ( c > refine440942639nres_c ) > refine440942639nres_c ).
thf(func_def_6,type,
autore241567778nres_d: ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > autoref_annot > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_7,type,
autore1422848225_c_c_c: ( c > ( c > c ) > c ) > autoref_annot > c > ( c > c ) > c ).
thf(func_def_8,type,
autore73061154nres_c: ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > autoref_annot > d > ( d > refine440942639nres_c ) > refine440942639nres_c ).
thf(func_def_9,type,
autore1505592162nres_d: ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > autoref_annot > d > ( d > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_10,type,
autoref_APP_o_o_c_c: ( ( ( $o > $o ) > c ) > c ) > ( ( $o > $o ) > c ) > c ).
thf(func_def_11,type,
autore1733926270_o_c_c: ( ( $o > $o ) > ( ( $o > $o ) > c ) > c ) > ( $o > $o ) > ( ( $o > $o ) > c ) > c ).
thf(func_def_12,type,
autoref_APP_o_o_a: ( ( $o > $o ) > a ) > ( $o > $o ) > a ).
thf(func_def_13,type,
autoref_APP_o_o_c: ( ( $o > $o ) > c ) > ( $o > $o ) > c ).
thf(func_def_14,type,
autore1156652217_int_o: ( ( int > int > $o ) > int > $o ) > ( int > int > $o ) > int > $o ).
thf(func_def_15,type,
autoref_APP_int_o_o: ( ( int > $o ) > $o ) > ( int > $o ) > $o ).
thf(func_def_16,type,
autore956252284nres_b: ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_17,type,
autore821920247_o_o_o: ( ( c > $o > $o ) > $o > $o ) > ( c > $o > $o ) > $o > $o ).
thf(func_def_18,type,
autore2084714426nres_c: ( ( c > refine440942639nres_c ) > refine440942639nres_c ) > ( c > refine440942639nres_c ) > refine440942639nres_c ).
thf(func_def_19,type,
autore1159379066nres_d: ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_20,type,
autoref_APP_c_c_c: ( ( c > c ) > c ) > ( c > c ) > c ).
thf(func_def_21,type,
autore964129529nres_c: ( ( d > refine440942639nres_c ) > refine440942639nres_c ) > ( d > refine440942639nres_c ) > refine440942639nres_c ).
thf(func_def_22,type,
autore38794169nres_d: ( ( d > refine449204144nres_d ) > refine449204144nres_d ) > ( d > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_23,type,
autoref_APP_o_o: ( $o > $o ) > $o > $o ).
thf(func_def_24,type,
autore1101499084_int_o: ( int > ( int > int > $o ) > int > $o ) > int > ( int > int > $o ) > int > $o ).
thf(func_def_25,type,
autore112221708nt_o_o: ( int > ( int > $o ) > $o ) > int > ( int > $o ) > $o ).
thf(func_def_26,type,
autore1551339569_int_o: ( int > int > $o ) > int > int > $o ).
thf(func_def_27,type,
autoref_APP_int_o: ( int > $o ) > int > $o ).
thf(func_def_28,type,
autore781669463nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_29,type,
autoref_APP_a_o_o: ( a > $o > $o ) > a > $o > $o ).
thf(func_def_30,type,
autore1382402919nres_a: ( a > refine424419629nres_a ) > a > refine424419629nres_a ).
thf(func_def_31,type,
autore1390664424nres_b: ( a > refine432681134nres_b ) > a > refine432681134nres_b ).
thf(func_def_32,type,
autoref_APP_a_a: ( a > a ) > a > a ).
thf(func_def_33,type,
autore1669652584nres_a: ( b > refine424419629nres_a ) > b > refine424419629nres_a ).
thf(func_def_34,type,
autore1677914089nres_b: ( b > refine432681134nres_b ) > b > refine432681134nres_b ).
thf(func_def_35,type,
autore1554881264_o_o_o: ( c > ( c > $o > $o ) > $o > $o ) > c > ( c > $o > $o ) > $o > $o ).
thf(func_def_36,type,
autore224164375nres_c: ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > c > ( c > refine440942639nres_c ) > refine440942639nres_c ).
thf(func_def_37,type,
autore430131799nres_d: ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_38,type,
autoref_APP_c_c_c_c: ( c > ( c > c ) > c ) > c > ( c > c ) > c ).
thf(func_def_39,type,
autoref_APP_c_o_o: ( c > $o > $o ) > c > $o > $o ).
thf(func_def_40,type,
autore1973425259nres_c: ( c > refine440942639nres_c ) > c > refine440942639nres_c ).
thf(func_def_41,type,
autore1981686764nres_d: ( c > refine449204144nres_d ) > c > refine449204144nres_d ).
thf(func_def_42,type,
autoref_APP_c_c: ( c > c ) > c > c ).
thf(func_def_43,type,
autore1989911767nres_c: ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > d > ( d > refine440942639nres_c ) > refine440942639nres_c ).
thf(func_def_44,type,
autore48395543nres_d: ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > d > ( d > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_45,type,
autore113191276nres_c: ( d > refine440942639nres_c ) > d > refine440942639nres_c ).
thf(func_def_46,type,
autore121452781nres_d: ( d > refine449204144nres_d ) > d > refine449204144nres_d ).
thf(func_def_47,type,
autore971224502_o_c_c: ( ( $o > $o ) > ( ( $o > $o ) > c ) > c ) > ( $o > $o ) > ( ( $o > $o ) > c ) > c ).
thf(func_def_48,type,
autore1769540484_int_o: ( int > ( int > int > $o ) > int > $o ) > int > ( int > int > $o ) > int > $o ).
thf(func_def_49,type,
autore1667378628nt_o_o: ( int > ( int > $o ) > $o ) > int > ( int > $o ) > $o ).
thf(func_def_50,type,
autore906565869nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_51,type,
autore1861331824_o_o_o: ( c > ( c > $o > $o ) > $o > $o ) > c > ( c > $o > $o ) > $o > $o ).
thf(func_def_52,type,
autore572178349nres_c: ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > c > ( c > refine440942639nres_c ) > refine440942639nres_c ).
thf(func_def_53,type,
autore2004709357nres_d: ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_54,type,
autoref_OP_c_c_c_c: ( c > ( c > c ) > c ) > c > ( c > c ) > c ).
thf(func_def_55,type,
autore1836202733nres_c: ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > d > ( d > refine440942639nres_c ) > refine440942639nres_c ).
thf(func_def_56,type,
autore1121250093nres_d: ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > d > ( d > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_57,type,
autore821969498_o_c_c: set_Pr37069423_o_c_c > autoref_annot ).
thf(func_def_58,type,
autore1294268534_int_o: set_Pr1351316363_int_o > autoref_annot ).
thf(func_def_59,type,
autore1079756534nt_o_o: set_Pr1524520971nt_o_o > autoref_annot ).
thf(func_def_60,type,
autore1424734926_o_o_o: set_Pr1774281699_o_o_o > autoref_annot ).
thf(func_def_61,type,
autore1545784985nres_c: set_Pr1250642728nres_c > autoref_annot ).
thf(func_def_62,type,
autore16598297nres_b: set_Pr1358127528nres_b > autoref_annot ).
thf(func_def_63,type,
autore349294361nres_d: set_Pr2080238504nres_d > autoref_annot ).
thf(func_def_64,type,
autore464253722_c_c_c: set_Pr807116335_c_c_c > autoref_annot ).
thf(func_def_65,type,
autore1683160729nres_c: set_Pr584391464nres_c > autoref_annot ).
thf(func_def_66,type,
autore486670105nres_d: set_Pr1413987240nres_d > autoref_annot ).
thf(func_def_67,type,
autore1113312320RNAL_o: $o > $o ).
thf(func_def_68,type,
autore1319416560_nat_o: ( ( nat > $o ) > nat > nat > $o ) > ( ( nat > $o ) > nat > nat > $o ) > $o ).
thf(func_def_69,type,
autore233619284nres_b: ( ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ) > $o ).
thf(func_def_70,type,
autore1360171649nres_b: ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > $o ).
thf(func_def_71,type,
autore990423178_o_o_o: ( $o > $o > $o ) > ( $o > $o > $o ) > $o ).
thf(func_def_72,type,
autore1883416521EQ_o_o: ( $o > $o ) > ( $o > $o ) > $o ).
thf(func_def_73,type,
autore425620682_int_o: ( int > int > $o ) > ( int > int > $o ) > $o ).
thf(func_def_74,type,
autore331323266_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_75,type,
autore1318775848nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > $o ).
thf(func_def_76,type,
autore519998265nres_b: ( a > refine432681134nres_b ) > ( a > refine432681134nres_b ) > $o ).
thf(func_def_77,type,
autore1904863386L_EQ_a: a > a > $o ).
thf(func_def_78,type,
id_o: $o > $o ).
thf(func_def_79,type,
all_interval_nat: ( nat > $o ) > nat > nat > $o ).
thf(func_def_80,type,
ord_less_int: int > int > $o ).
thf(func_def_81,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_82,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_83,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_84,type,
produc618371095_o_o_o: ( ( $o > $o ) > $o > $o > $o ) > ( ( $o > $o ) > $o > $o > $o ) > produc1039600167_o_o_o ).
thf(func_def_85,type,
produc1486173035_o_o_o: ( ( $o > $o ) > $o > $o ) > ( ( $o > $o ) > $o > $o ) > produc1839156403_o_o_o ).
thf(func_def_86,type,
produc259148439_nat_o: ( ( $o > $o ) > nat > nat > $o ) > ( ( $o > $o ) > nat > nat > $o ) > produc1174115751_nat_o ).
thf(func_def_87,type,
produc2068274457_o_o_c: ( ( $o > $o ) > a ) > ( ( $o > $o ) > c ) > produc2056997417_o_o_c ).
thf(func_def_88,type,
produc1714464775_nat_o: ( ( nat > $o ) > ( ( nat > $o ) > nat > nat > $o ) > nat > nat > $o ) > ( ( nat > $o ) > ( ( nat > $o ) > nat > nat > $o ) > nat > nat > $o ) > produc416848975_nat_o ).
thf(func_def_89,type,
produc1206080049_nat_o: ( ( nat > $o ) > nat > nat > $o ) > ( ( nat > $o ) > nat > nat > $o ) > produc1314004473_nat_o ).
thf(func_def_90,type,
produc1910095910nres_d: ( ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ) > ( ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ) > produc809931564nres_d ).
thf(func_def_91,type,
produc2075136412nres_d: ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc1757587562nres_d ).
thf(func_def_92,type,
produc1847874839_o_o_o: ( $o > $o > $o ) > ( $o > $o > $o ) > produc46704423_o_o_o ).
thf(func_def_93,type,
product_Pair_o_o_o_o: ( $o > $o ) > ( $o > $o ) > product_prod_o_o_o_o ).
thf(func_def_94,type,
produc1849784535_o_int: ( $o > int ) > ( $o > int ) > produc922271079_o_int ).
thf(func_def_95,type,
produc1099128279_o_nat: ( $o > nat ) > ( $o > nat ) > produc1991839847_o_nat ).
thf(func_def_96,type,
product_Pair_o_a_o_c: ( $o > a ) > ( $o > c ) > product_prod_o_a_o_c ).
thf(func_def_97,type,
produc604705507_int_o: ( int > ( int > int > $o ) > int > $o ) > ( int > ( int > int > $o ) > int > $o ) > produc1616993579_int_o ).
thf(func_def_98,type,
produc2111111011nt_o_o: ( int > ( int > $o ) > $o ) > ( int > ( int > $o ) > $o ) > produc496448427nt_o_o ).
thf(func_def_99,type,
produc1684950905nt_o_o: ( int > $o > $o ) > ( int > $o > $o ) > produc426758977nt_o_o ).
thf(func_def_100,type,
produc1217921175_int_o: ( int > int > $o ) > ( int > int > $o ) > produc480790439_int_o ).
thf(func_def_101,type,
produc2007676503_int_o: ( int > $o ) > ( int > $o ) > produc1620501479_int_o ).
thf(func_def_102,type,
produc422161031nt_int: ( int > int ) > ( int > int ) > produc719214799nt_int ).
thf(func_def_103,type,
produc1419879375nt_nat: ( int > nat ) > ( int > nat ) > produc1389674519nt_nat ).
thf(func_def_104,type,
produc255636953_int_c: ( int > a ) > ( int > c ) > produc1769036905_int_c ).
thf(func_def_105,type,
produc1951588545at_o_o: ( nat > $o > $o ) > ( nat > $o > $o ) > produc482595465at_o_o ).
thf(func_def_106,type,
produc1593059991_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > produc724473255_nat_o ).
thf(func_def_107,type,
produc1218908503_nat_o: ( nat > $o ) > ( nat > $o ) > produc878596327_nat_o ).
thf(func_def_108,type,
produc1930602447at_int: ( nat > int ) > ( nat > int ) > produc610583575at_int ).
thf(func_def_109,type,
produc780837143at_nat: ( nat > nat ) > ( nat > nat ) > produc1281043295at_nat ).
thf(func_def_110,type,
produc1067187929_nat_c: ( nat > a ) > ( nat > c ) > produc1144174441_nat_c ).
thf(func_def_111,type,
produc973126316nres_d: ( refine1696877731nres_b > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ) > ( refine116648739nres_d > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ) > produc1834705330nres_d ).
thf(func_def_112,type,
produc912866704nres_d: ( refine424419629nres_a > ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine440942639nres_c > ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc819780758nres_d ).
thf(func_def_113,type,
produc2073916516nres_c: ( refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ) > ( refine440942639nres_c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > produc1581500522nres_c ).
thf(func_def_114,type,
produc1992182244nres_b: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > produc1530265066nres_b ).
thf(func_def_115,type,
produc1066811108nres_a: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ) > produc1298363114nres_a ).
thf(func_def_116,type,
produc1576596708nres_d: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc2043357418nres_d ).
thf(func_def_117,type,
produc651225572nres_c: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine449204144nres_d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > produc1811455466nres_c ).
thf(func_def_118,type,
produc385572580nres_c: ( refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ) > ( refine449204144nres_d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > produc1545802474nres_c ).
thf(func_def_119,type,
produc2035736420nres_d: ( refine432681134nres_b > ( b > refine432681134nres_b ) > refine432681134nres_b ) > ( refine449204144nres_d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > produc2007659370nres_d ).
thf(func_def_120,type,
produc183923940nres_b: ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > produc1869490410nres_b ).
thf(func_def_121,type,
produc1915822052nres_d: ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc235099114nres_d ).
thf(func_def_122,type,
produc1824358636nres_c: ( a > ( a > refine424419629nres_a ) > refine424419629nres_a ) > ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > produc1914459634nres_c ).
thf(func_def_123,type,
produc295171948nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > produc96971890nres_b ).
thf(func_def_124,type,
produc627868012nres_d: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc1677145714nres_d ).
thf(func_def_125,type,
produc1393542937_c_o_o: ( a > $o > $o ) > ( c > $o > $o ) > produc1838469673_c_o_o ).
thf(func_def_126,type,
produc278407104nres_a: ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > produc699795910nres_a ).
thf(func_def_127,type,
produc1827604032nres_c: ( a > refine424419629nres_a ) > ( c > refine440942639nres_c ) > produc1267050566nres_c ).
thf(func_def_128,type,
produc809128386nres_b: ( a > refine432681134nres_b ) > ( a > refine432681134nres_b ) > produc1536607048nres_b ).
thf(func_def_129,type,
produc210841666nres_d: ( a > refine432681134nres_b ) > ( c > refine449204144nres_d ) > produc2103861704nres_d ).
thf(func_def_130,type,
product_Pair_a_a_c_c: ( a > a ) > ( c > c ) > product_prod_a_a_c_c ).
thf(func_def_131,type,
produc1961734380nres_c: ( b > ( b > refine424419629nres_a ) > refine424419629nres_a ) > ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > produc1716397554nres_c ).
thf(func_def_132,type,
produc765243756nres_d: ( b > ( b > refine432681134nres_b ) > refine432681134nres_b ) > ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > produc1479083634nres_d ).
thf(func_def_133,type,
produc316577664nres_c: ( b > refine424419629nres_a ) > ( d > refine440942639nres_c ) > produc1106446854nres_c ).
thf(func_def_134,type,
produc1445585666nres_b: ( b > refine432681134nres_b ) > ( b > refine432681134nres_b ) > produc1376003336nres_b ).
thf(func_def_135,type,
produc847298946nres_d: ( b > refine432681134nres_b ) > ( d > refine449204144nres_d ) > produc1943257992nres_d ).
thf(func_def_136,type,
produc1063567300nres_a: ( c > refine440942639nres_c ) > ( a > refine424419629nres_a ) > produc1484956106nres_a ).
thf(func_def_137,type,
produc465280580nres_c: ( c > refine440942639nres_c ) > ( c > refine440942639nres_c ) > produc2052210762nres_c ).
thf(func_def_138,type,
produc83262214nres_b: ( d > refine449204144nres_d ) > ( b > refine432681134nres_b ) > produc13679884nres_b ).
thf(func_def_139,type,
product_Pair_o_o: $o > $o > product_prod_o_o ).
thf(func_def_140,type,
product_Pair_int_int: int > int > product_prod_int_int ).
thf(func_def_141,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_142,type,
produc1136923598nres_a: refine424419629nres_a > refine424419629nres_a > produc1609974940nres_a ).
thf(func_def_143,type,
produc1153446608nres_c: refine424419629nres_a > refine440942639nres_c > produc1741619870nres_c ).
thf(func_def_144,type,
produc2130641934nres_b: refine432681134nres_b > refine432681134nres_b > produc1587512412nres_b ).
thf(func_def_145,type,
produc2147164944nres_d: refine432681134nres_b > refine449204144nres_d > produc1719157342nres_d ).
thf(func_def_146,type,
produc960353612nres_a: refine440942639nres_c > refine424419629nres_a > produc1433404954nres_a ).
thf(func_def_147,type,
produc976876622nres_c: refine440942639nres_c > refine440942639nres_c > produc1565049884nres_c ).
thf(func_def_148,type,
produc1954071948nres_b: refine449204144nres_d > refine432681134nres_b > produc1410942426nres_b ).
thf(func_def_149,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(func_def_150,type,
product_Pair_a_c: a > c > product_prod_a_c ).
thf(func_def_151,type,
product_Pair_b_d: b > d > product_prod_b_d ).
thf(func_def_152,type,
refine2063221604TURN_a: a > refine424419629nres_a ).
thf(func_def_153,type,
refine2063221605TURN_b: b > refine432681134nres_b ).
thf(func_def_154,type,
refine2063221606TURN_c: c > refine440942639nres_c ).
thf(func_def_155,type,
refine2063221607TURN_d: d > refine449204144nres_d ).
thf(func_def_156,type,
refine1985319227es_b_b: refine1696877731nres_b > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_157,type,
refine1129534141es_d_d: refine116648739nres_d > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_158,type,
refine436832838nd_a_a: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_159,type,
refine436832839nd_a_b: refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_160,type,
refine1264602245nd_b_a: refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_161,type,
refine1264602246nd_b_b: refine432681134nres_b > ( b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_162,type,
refine2092371654nd_c_c: refine440942639nres_c > ( c > refine440942639nres_c ) > refine440942639nres_c ).
thf(func_def_163,type,
refine2092371655nd_c_d: refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_164,type,
refine772657413nd_d_c: refine449204144nres_d > ( d > refine440942639nres_c ) > refine440942639nres_c ).
thf(func_def_165,type,
refine772657414nd_d_d: refine449204144nres_d > ( d > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_166,type,
refine230301243_nat_o: set_Pr766923865_nat_o > ( ( ( nat > $o ) > nat > nat > $o ) > $o ) > ( ( nat > $o ) > nat > nat > $o ) > $o ).
thf(func_def_167,type,
refine1711024813nres_d: set_Pr613277282nres_d > ( ( ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ) > $o ) > ( ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ) > $o ).
thf(func_def_168,type,
refine1958703523nres_d: set_Pr797615136nres_d > ( ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > $o ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > $o ).
thf(func_def_169,type,
refine666274337_o_o_o: set_Pr618353415_o_o_o > ( ( $o > $o > $o ) > $o ) > ( $o > $o > $o ) > $o ).
thf(func_def_170,type,
refine1725652845_o_o_o: set_Pr934623755_o_o_o > ( ( $o > $o ) > $o ) > ( $o > $o ) > $o ).
thf(func_def_171,type,
refine1840159649_int_o: set_Pr1320171143_int_o > ( ( int > int > $o ) > $o ) > ( int > int > $o ) > $o ).
thf(func_def_172,type,
refine67814817_nat_o: set_Pr1659864199_nat_o > ( ( nat > nat > $o ) > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_173,type,
refine408412177nres_d: set_Pr2080238504nres_d > ( ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > $o ) > ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > $o ).
thf(func_def_174,type,
refine746536475nres_d: set_Pr589481214nres_d > ( ( c > refine449204144nres_d ) > $o ) > ( a > refine432681134nres_b ) > $o ).
thf(func_def_175,type,
refine321891363sn_a_c: set_Product_prod_a_c > ( c > $o ) > a > $o ).
thf(func_def_176,type,
refine1535302424nres_d: set_Pr589481214nres_d > set_Pr1537816964nres_d ).
thf(func_def_177,type,
refine737062558el_a_a: set_Product_prod_a_a > set_Pr384614482nres_a ).
thf(func_def_178,type,
refine737062559el_a_b: set_Product_prod_a_b > set_Pr1830268627nres_b ).
thf(func_def_179,type,
refine737062560el_a_c: set_Product_prod_a_c > set_Pr1128439124nres_c ).
thf(func_def_180,type,
refine737062561el_a_d: set_Product_prod_a_d > set_Pr426609621nres_d ).
thf(func_def_181,type,
refine1564831965el_b_a: set_Product_prod_b_a > set_Pr1598501265nres_a ).
thf(func_def_182,type,
refine1564831966el_b_b: set_Product_prod_b_b > set_Pr896671762nres_b ).
thf(func_def_183,type,
refine1564831967el_b_c: set_Product_prod_b_c > set_Pr194842259nres_c ).
thf(func_def_184,type,
refine1564831968el_b_d: set_Product_prod_b_d > set_Pr1640496404nres_d ).
thf(func_def_185,type,
refine245117724el_c_a: set_Product_prod_c_a > set_Pr664904400nres_a ).
thf(func_def_186,type,
refine245117726el_c_c: set_Product_prod_c_c > set_Pr1408729042nres_c ).
thf(func_def_187,type,
refine1072887132el_d_b: set_Product_prod_d_b > set_Pr1176961680nres_b ).
thf(func_def_188,type,
refine1072887134el_d_d: set_Product_prod_d_d > set_Pr1920786322nres_d ).
thf(func_def_189,type,
refine1437029927_bnd_a: $o > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_190,type,
refine1437029928_bnd_b: $o > refine432681134nres_b > refine432681134nres_b ).
thf(func_def_191,type,
refine1437029929_bnd_c: $o > refine440942639nres_c > refine440942639nres_c ).
thf(func_def_192,type,
refine1437029930_bnd_d: $o > refine449204144nres_d > refine449204144nres_d ).
thf(func_def_193,type,
refine1361002633n_bool: set_Product_prod_o_o ).
thf(func_def_194,type,
id_nat_o_nat_nat_o: set_Pr766923865_nat_o ).
thf(func_def_195,type,
id_o_o_o: set_Pr618353415_o_o_o ).
thf(func_def_196,type,
id_o_o: set_Pr934623755_o_o_o ).
thf(func_def_197,type,
id_o_int: set_Pr1437791047_o_int ).
thf(func_def_198,type,
id_o_nat: set_Pr343524935_o_nat ).
thf(func_def_199,type,
id_int_o_o: set_Pr1006121889nt_o_o ).
thf(func_def_200,type,
id_int_int_o: set_Pr1320171143_int_o ).
thf(func_def_201,type,
id_int_o: set_Pr94755271_int_o ).
thf(func_def_202,type,
id_int_int: set_Pr2110946351nt_int ).
thf(func_def_203,type,
id_int_nat: set_Pr1719254903nt_nat ).
thf(func_def_204,type,
id_nat_nat_o: set_Pr1659864199_nat_o ).
thf(func_def_205,type,
id_nat_o: set_Pr310822599_nat_o ).
thf(func_def_206,type,
id_nat_int: set_Pr1749533559at_int ).
thf(func_def_207,type,
id_nat_nat: set_Pr1357842111at_nat ).
thf(func_def_208,type,
id_a_R351071993nres_b: set_Pr1815766654nres_b ).
thf(func_def_209,type,
id_o2: set_Product_prod_o_o ).
thf(func_def_210,type,
id_int: set_Pr1858794777nt_int ).
thf(func_def_211,type,
id_nat: set_Pr1986765409at_nat ).
thf(func_def_212,type,
id_Ref1256934482nres_b: set_Pr896671762nres_b ).
thf(func_def_213,type,
id_a: set_Product_prod_a_a ).
thf(func_def_214,type,
fun_re1859931662_c_a_c: set_Pr1955643401_o_o_c > set_Product_prod_a_c > set_Pr46530663_o_c_c ).
thf(func_def_215,type,
fun_re1934003492_nat_o: set_Pr766923865_nat_o > set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ).
thf(func_def_216,type,
fun_re2071856555nres_d: set_Pr797615136nres_d > set_Pr1640496404nres_d > set_Pr1824526846nres_d ).
thf(func_def_217,type,
fun_re1144975870_o_c_c: set_Pr934623755_o_o_o > set_Pr46530663_o_c_c > set_Pr37069423_o_c_c ).
thf(func_def_218,type,
fun_re2101272022_o_o_o: set_Pr934623755_o_o_o > set_Pr618353415_o_o_o > set_Pr68707591_o_o_o ).
thf(func_def_219,type,
fun_re682130338_o_o_o: set_Pr934623755_o_o_o > set_Pr934623755_o_o_o > set_Pr2088790547_o_o_o ).
thf(func_def_220,type,
fun_re1012178006_nat_o: set_Pr934623755_o_o_o > set_Pr1659864199_nat_o > set_Pr524661639_nat_o ).
thf(func_def_221,type,
fun_rel_o_o_o_o_a_c: set_Pr934623755_o_o_o > set_Product_prod_a_c > set_Pr1955643401_o_o_c ).
thf(func_def_222,type,
fun_re22412234_int_o: set_Pr1320171143_int_o > set_Pr94755271_int_o > set_Pr1435428853_int_o ).
thf(func_def_223,type,
fun_re667116106_o_o_o: set_Pr94755271_int_o > set_Product_prod_o_o > set_Pr1495585653nt_o_o ).
thf(func_def_224,type,
fun_re215849226_nat_o: set_Pr310822599_nat_o > set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ).
thf(func_def_225,type,
fun_re881041610_nat_o: set_Pr310822599_nat_o > set_Pr1659864199_nat_o > set_Pr766923865_nat_o ).
thf(func_def_226,type,
fun_re692194867nres_d: set_Pr24800800nres_d > set_Pr797615136nres_d > set_Pr1712866168nres_d ).
thf(func_def_227,type,
fun_re2021699288_o_o_o: set_Pr1933985801_c_o_o > set_Pr934623755_o_o_o > set_Pr1371175689_o_o_o ).
thf(func_def_228,type,
fun_re1877185935nres_c: set_Pr134917244nres_c > set_Pr1128439124nres_c > set_Pr404050976nres_c ).
thf(func_def_229,type,
fun_re1579405647nres_b: set_Pr1815766654nres_b > set_Pr896671762nres_b > set_Pr1052763806nres_b ).
thf(func_def_230,type,
fun_re1140323340nres_a: set_Pr1635457468nres_a > set_Pr1598501265nres_a > set_Pr436741343nres_a ).
thf(func_def_231,type,
fun_re1306413669nres_d: set_Pr589481214nres_d > set_Pr1824526846nres_d > set_Pr613277282nres_d ).
thf(func_def_232,type,
fun_re1394577105nres_d: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).
thf(func_def_233,type,
fun_re955494798nres_c: set_Pr409172028nres_c > set_Pr194842259nres_c > set_Pr181592673nres_c ).
thf(func_def_234,type,
fun_rel_a_a_c_c_a_c: set_Pr1234209675_a_c_c > set_Product_prod_a_c > set_Pr1673989513_c_c_c ).
thf(func_def_235,type,
fun_re1366722255nres_c: set_Pr979578428nres_c > set_Pr1128439124nres_c > set_Pr57594146nres_c ).
thf(func_def_236,type,
fun_re884113425nres_d: set_Pr1434142398nres_d > set_Pr1640496404nres_d > set_Pr451158306nres_d ).
thf(func_def_237,type,
fun_re1925572817nres_b: set_Pr1345535106nres_b > set_Pr1176961680nres_b > set_Pr1402127136nres_b ).
thf(func_def_238,type,
fun_re1740744275nres_d: set_Pr119249666nres_d > set_Pr1920786322nres_d > set_Pr1146978466nres_d ).
thf(func_def_239,type,
fun_rel_o_o_o_o_o_o: set_Product_prod_o_o > set_Pr934623755_o_o_o > set_Pr618353415_o_o_o ).
thf(func_def_240,type,
fun_rel_o_o_o_o: set_Product_prod_o_o > set_Product_prod_o_o > set_Pr934623755_o_o_o ).
thf(func_def_241,type,
fun_rel_o_o_int_int: set_Product_prod_o_o > set_Pr1858794777nt_int > set_Pr1437791047_o_int ).
thf(func_def_242,type,
fun_rel_o_o_nat_nat: set_Product_prod_o_o > set_Pr1986765409at_nat > set_Pr343524935_o_nat ).
thf(func_def_243,type,
fun_rel_o_o_a_c: set_Product_prod_o_o > set_Product_prod_a_c > set_Pr709440729_a_o_c ).
thf(func_def_244,type,
fun_re2036221850_int_o: set_Pr1858794777nt_int > set_Pr1435428853_int_o > set_Pr1351316363_int_o ).
thf(func_def_245,type,
fun_re442767642nt_o_o: set_Pr1858794777nt_int > set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ).
thf(func_def_246,type,
fun_re464413488_o_o_o: set_Pr1858794777nt_int > set_Pr934623755_o_o_o > set_Pr1006121889nt_o_o ).
thf(func_def_247,type,
fun_re986858916_int_o: set_Pr1858794777nt_int > set_Pr94755271_int_o > set_Pr1320171143_int_o ).
thf(func_def_248,type,
fun_rel_int_int_o_o: set_Pr1858794777nt_int > set_Product_prod_o_o > set_Pr94755271_int_o ).
thf(func_def_249,type,
fun_re202574526nt_int: set_Pr1858794777nt_int > set_Pr1858794777nt_int > set_Pr2110946351nt_int ).
thf(func_def_250,type,
fun_re1799515654at_nat: set_Pr1858794777nt_int > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ).
thf(func_def_251,type,
fun_rel_int_int_a_c: set_Pr1858794777nt_int > set_Product_prod_a_c > set_Pr1575377993_int_c ).
thf(func_def_252,type,
fun_re1521677944_o_o_o: set_Pr1986765409at_nat > set_Pr934623755_o_o_o > set_Pr2058424041at_o_o ).
thf(func_def_253,type,
fun_re1770844140_nat_o: set_Pr1986765409at_nat > set_Pr310822599_nat_o > set_Pr1659864199_nat_o ).
thf(func_def_254,type,
fun_rel_nat_nat_o_o: set_Pr1986765409at_nat > set_Product_prod_o_o > set_Pr310822599_nat_o ).
thf(func_def_255,type,
fun_re1088433670nt_int: set_Pr1986765409at_nat > set_Pr1858794777nt_int > set_Pr1749533559at_int ).
thf(func_def_256,type,
fun_re537891150at_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1357842111at_nat ).
thf(func_def_257,type,
fun_rel_nat_nat_a_c: set_Pr1986765409at_nat > set_Product_prod_a_c > set_Pr933902153_nat_c ).
thf(func_def_258,type,
fun_re1732033515nres_d: set_Pr1537816964nres_d > set_Pr1824526846nres_d > set_Pr1710101992nres_d ).
thf(func_def_259,type,
fun_re2045802267nres_b: set_Pr384614482nres_a > set_Pr1052763806nres_b > set_Pr818594592nres_b ).
thf(func_def_260,type,
fun_re1904331357nres_a: set_Pr1830268627nres_b > set_Pr436741343nres_a > set_Pr2039330848nres_a ).
thf(func_def_261,type,
fun_re1190106143nres_d: set_Pr1128439124nres_c > set_Pr1712866168nres_d > set_Pr1614046668nres_d ).
thf(func_def_262,type,
fun_re1915547295nres_c: set_Pr1128439124nres_c > set_Pr404050976nres_c > set_Pr882593184nres_c ).
thf(func_def_263,type,
fun_re439246495nres_d: set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).
thf(func_def_264,type,
fun_re297775585nres_c: set_Pr426609621nres_d > set_Pr181592673nres_c > set_Pr1245537056nres_c ).
thf(func_def_265,type,
fun_re816936095nres_c: set_Pr1640496404nres_d > set_Pr57594146nres_c > set_Pr1652381728nres_c ).
thf(func_def_266,type,
fun_re1488118943nres_d: set_Pr1640496404nres_d > set_Pr451158306nres_d > set_Pr794589344nres_d ).
thf(func_def_267,type,
fun_re650017687nres_b: set_Pr664904400nres_a > set_Pr1402127136nres_b > set_Pr1436380704nres_b ).
thf(func_def_268,type,
fun_re1190945563nres_d: set_Pr1408729042nres_c > set_Pr1146978466nres_d > set_Pr642586912nres_d ).
thf(func_def_269,type,
fun_re1165441639nres_b: set_Product_prod_a_a > set_Pr1052763806nres_b > set_Pr1358127528nres_b ).
thf(func_def_270,type,
fun_re843975451nres_a: set_Product_prod_a_a > set_Pr384614482nres_a > set_Pr1361202684nres_a ).
thf(func_def_271,type,
fun_re1837693787nres_b: set_Product_prod_a_a > set_Pr896671762nres_b > set_Pr1815766654nres_b ).
thf(func_def_272,type,
fun_re708847385nres_a: set_Product_prod_a_b > set_Pr1598501265nres_a > set_Pr1635457468nres_a ).
thf(func_def_273,type,
fun_re362844942_o_o_o: set_Product_prod_a_c > set_Pr1371175689_o_o_o > set_Pr1774281699_o_o_o ).
thf(func_def_274,type,
fun_re418666087nres_c: set_Product_prod_a_c > set_Pr404050976nres_c > set_Pr1250642728nres_c ).
thf(func_def_275,type,
fun_re1089848935nres_d: set_Product_prod_a_c > set_Pr797615136nres_d > set_Pr2080238504nres_d ).
thf(func_def_276,type,
fun_re836380558_c_c_c: set_Product_prod_a_c > set_Pr1673989513_c_c_c > set_Pr807116335_c_c_c ).
thf(func_def_277,type,
fun_rel_a_c_o_o_o_o: set_Product_prod_a_c > set_Pr934623755_o_o_o > set_Pr1933985801_c_o_o ).
thf(func_def_278,type,
fun_re766812315nres_c: set_Product_prod_a_c > set_Pr1128439124nres_c > set_Pr134917244nres_c ).
thf(func_def_279,type,
fun_re1760530651nres_d: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ).
thf(func_def_280,type,
fun_rel_a_c_a_c: set_Product_prod_a_c > set_Product_prod_a_c > set_Pr1234209675_a_c_c ).
thf(func_def_281,type,
fun_re631684249nres_c: set_Product_prod_a_d > set_Pr194842259nres_c > set_Pr409172028nres_c ).
thf(func_def_282,type,
fun_re132614427nres_b: set_Product_prod_b_b > set_Pr896671762nres_b > set_Pr512944190nres_b ).
thf(func_def_283,type,
fun_re430551721nres_c: set_Product_prod_b_d > set_Pr57594146nres_c > set_Pr584391464nres_c ).
thf(func_def_284,type,
fun_re1101734569nres_d: set_Product_prod_b_d > set_Pr451158306nres_d > set_Pr1413987240nres_d ).
thf(func_def_285,type,
fun_re1209216603nres_c: set_Product_prod_b_d > set_Pr1128439124nres_c > set_Pr979578428nres_c ).
thf(func_def_286,type,
fun_re55451291nres_d: set_Product_prod_b_d > set_Pr1640496404nres_d > set_Pr1434142398nres_d ).
thf(func_def_287,type,
fun_re1645900187nres_a: set_Product_prod_c_a > set_Pr664904400nres_a > set_Pr890971136nres_a ).
thf(func_def_288,type,
fun_re492134875nres_b: set_Product_prod_c_a > set_Pr1176961680nres_b > set_Pr1345535106nres_b ).
thf(func_def_289,type,
fun_re1568737051nres_c: set_Product_prod_c_c > set_Pr1408729042nres_c > set_Pr1812169344nres_c ).
thf(func_def_290,type,
fun_re414971739nres_d: set_Product_prod_c_c > set_Pr1920786322nres_d > set_Pr119249666nres_d ).
thf(func_def_291,type,
fun_re934539163nres_b: set_Product_prod_d_b > set_Pr1176961680nres_b > set_Pr42712642nres_b ).
thf(func_def_292,type,
relAPP1562327022_o_c_c: ( set_Pr46530663_o_c_c > set_Pr37069423_o_c_c ) > set_Pr46530663_o_c_c > set_Pr37069423_o_c_c ).
thf(func_def_293,type,
relAPP1219475094_nat_o: ( set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ) > set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ).
thf(func_def_294,type,
relAPP1388319497nres_d: ( set_Pr1824526846nres_d > set_Pr613277282nres_d ) > set_Pr1824526846nres_d > set_Pr613277282nres_d ).
thf(func_def_295,type,
relAPP745136137nres_d: ( set_Pr1824526846nres_d > set_Pr1710101992nres_d ) > set_Pr1824526846nres_d > set_Pr1710101992nres_d ).
thf(func_def_296,type,
relAPP412764446_o_c_c: ( set_Pr1955643401_o_o_c > set_Product_prod_a_c > set_Pr46530663_o_c_c ) > set_Pr1955643401_o_o_c > set_Product_prod_a_c > set_Pr46530663_o_c_c ).
thf(func_def_297,type,
relAPP1770679164_int_o: ( set_Pr1435428853_int_o > set_Pr1351316363_int_o ) > set_Pr1435428853_int_o > set_Pr1351316363_int_o ).
thf(func_def_298,type,
relAPP92429436nt_o_o: ( set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ) > set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ).
thf(func_def_299,type,
relAPP1957341080_nat_o: ( set_Pr766923865_nat_o > set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ) > set_Pr766923865_nat_o > set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ).
thf(func_def_300,type,
relAPP1095654971nres_d: ( set_Pr1712866168nres_d > set_Pr1614046668nres_d ) > set_Pr1712866168nres_d > set_Pr1614046668nres_d ).
thf(func_def_301,type,
relAPP1723270664_o_o_o: ( set_Pr1371175689_o_o_o > set_Pr1774281699_o_o_o ) > set_Pr1371175689_o_o_o > set_Pr1774281699_o_o_o ).
thf(func_def_302,type,
relAPP765626983nres_c: ( set_Pr404050976nres_c > set_Pr882593184nres_c ) > set_Pr404050976nres_c > set_Pr882593184nres_c ).
thf(func_def_303,type,
relAPP998488211nres_c: ( set_Pr404050976nres_c > set_Pr1250642728nres_c ) > set_Pr404050976nres_c > set_Pr1250642728nres_c ).
thf(func_def_304,type,
relAPP869047273nres_b: ( set_Pr1052763806nres_b > set_Pr818594592nres_b ) > set_Pr1052763806nres_b > set_Pr818594592nres_b ).
thf(func_def_305,type,
relAPP91071253nres_b: ( set_Pr1052763806nres_b > set_Pr1358127528nres_b ) > set_Pr1052763806nres_b > set_Pr1358127528nres_b ).
thf(func_def_306,type,
relAPP1102334824nres_a: ( set_Pr436741343nres_a > set_Pr2039330848nres_a ) > set_Pr436741343nres_a > set_Pr2039330848nres_a ).
thf(func_def_307,type,
relAPP1953591565nres_d: ( set_Pr797615136nres_d > set_Pr1640496404nres_d > set_Pr1824526846nres_d ) > set_Pr797615136nres_d > set_Pr1640496404nres_d > set_Pr1824526846nres_d ).
thf(func_def_308,type,
relAPP1659518317nres_d: ( set_Pr797615136nres_d > set_Pr1712866168nres_d ) > set_Pr797615136nres_d > set_Pr1712866168nres_d ).
thf(func_def_309,type,
relAPP511982311nres_d: ( set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr797615136nres_d > set_Pr24800800nres_d ).
thf(func_def_310,type,
relAPP1354295571nres_d: ( set_Pr797615136nres_d > set_Pr2080238504nres_d ) > set_Pr797615136nres_d > set_Pr2080238504nres_d ).
thf(func_def_311,type,
relAPP745269862nres_c: ( set_Pr181592673nres_c > set_Pr1245537056nres_c ) > set_Pr181592673nres_c > set_Pr1245537056nres_c ).
thf(func_def_312,type,
relAPP1804623572_c_c_c: ( set_Pr1673989513_c_c_c > set_Pr807116335_c_c_c ) > set_Pr1673989513_c_c_c > set_Pr807116335_c_c_c ).
thf(func_def_313,type,
relAPP944912869nres_c: ( set_Pr57594146nres_c > set_Pr1652381728nres_c ) > set_Pr57594146nres_c > set_Pr1652381728nres_c ).
thf(func_def_314,type,
relAPP131141393nres_c: ( set_Pr57594146nres_c > set_Pr584391464nres_c ) > set_Pr57594146nres_c > set_Pr584391464nres_c ).
thf(func_def_315,type,
relAPP691268197nres_d: ( set_Pr451158306nres_d > set_Pr794589344nres_d ) > set_Pr451158306nres_d > set_Pr794589344nres_d ).
thf(func_def_316,type,
relAPP486948753nres_d: ( set_Pr451158306nres_d > set_Pr1413987240nres_d ) > set_Pr451158306nres_d > set_Pr1413987240nres_d ).
thf(func_def_317,type,
relAPP1077394663nres_b: ( set_Pr1402127136nres_b > set_Pr1436380704nres_b ) > set_Pr1402127136nres_b > set_Pr1436380704nres_b ).
thf(func_def_318,type,
relAPP720329701nres_d: ( set_Pr1146978466nres_d > set_Pr642586912nres_d ) > set_Pr1146978466nres_d > set_Pr642586912nres_d ).
thf(func_def_319,type,
relAPP102288174_o_o_o: ( set_Pr618353415_o_o_o > set_Pr68707591_o_o_o ) > set_Pr618353415_o_o_o > set_Pr68707591_o_o_o ).
thf(func_def_320,type,
relAPP2129980178_o_c_c: ( set_Pr934623755_o_o_o > set_Pr46530663_o_c_c > set_Pr37069423_o_c_c ) > set_Pr934623755_o_o_o > set_Pr46530663_o_c_c > set_Pr37069423_o_c_c ).
thf(func_def_321,type,
relAPP200810762_o_o_o: ( set_Pr934623755_o_o_o > set_Pr618353415_o_o_o > set_Pr68707591_o_o_o ) > set_Pr934623755_o_o_o > set_Pr618353415_o_o_o > set_Pr68707591_o_o_o ).
thf(func_def_322,type,
relAPP704164370_o_o_o: ( set_Pr934623755_o_o_o > set_Pr934623755_o_o_o > set_Pr2088790547_o_o_o ) > set_Pr934623755_o_o_o > set_Pr934623755_o_o_o > set_Pr2088790547_o_o_o ).
thf(func_def_323,type,
relAPP845892106_nat_o: ( set_Pr934623755_o_o_o > set_Pr1659864199_nat_o > set_Pr524661639_nat_o ) > set_Pr934623755_o_o_o > set_Pr1659864199_nat_o > set_Pr524661639_nat_o ).
thf(func_def_324,type,
relAPP1750172554_o_o_c: ( set_Pr934623755_o_o_o > set_Product_prod_a_c > set_Pr1955643401_o_o_c ) > set_Pr934623755_o_o_o > set_Product_prod_a_c > set_Pr1955643401_o_o_c ).
thf(func_def_325,type,
relAPP1865476078_o_o_o: ( set_Pr934623755_o_o_o > set_Pr2088790547_o_o_o ) > set_Pr934623755_o_o_o > set_Pr2088790547_o_o_o ).
thf(func_def_326,type,
relAPP829628004_o_o_o: ( set_Pr934623755_o_o_o > set_Pr1371175689_o_o_o ) > set_Pr934623755_o_o_o > set_Pr1371175689_o_o_o ).
thf(func_def_327,type,
relAPP2105552994_o_o_o: ( set_Pr934623755_o_o_o > set_Pr618353415_o_o_o ) > set_Pr934623755_o_o_o > set_Pr618353415_o_o_o ).
thf(func_def_328,type,
relAPP1212753788nt_o_o: ( set_Pr934623755_o_o_o > set_Pr1006121889nt_o_o ) > set_Pr934623755_o_o_o > set_Pr1006121889nt_o_o ).
thf(func_def_329,type,
relAPP117572292at_o_o: ( set_Pr934623755_o_o_o > set_Pr2058424041at_o_o ) > set_Pr934623755_o_o_o > set_Pr2058424041at_o_o ).
thf(func_def_330,type,
relAPP1525934692_c_o_o: ( set_Pr934623755_o_o_o > set_Pr1933985801_c_o_o ) > set_Pr934623755_o_o_o > set_Pr1933985801_c_o_o ).
thf(func_def_331,type,
relAPP1620826092_int_o: ( set_Pr1320171143_int_o > set_Pr94755271_int_o > set_Pr1435428853_int_o ) > set_Pr1320171143_int_o > set_Pr94755271_int_o > set_Pr1435428853_int_o ).
thf(func_def_332,type,
relAPP967602156nt_o_o: ( set_Pr94755271_int_o > set_Product_prod_o_o > set_Pr1495585653nt_o_o ) > set_Pr94755271_int_o > set_Product_prod_o_o > set_Pr1495585653nt_o_o ).
thf(func_def_333,type,
relAPP371694684_int_o: ( set_Pr94755271_int_o > set_Pr1435428853_int_o ) > set_Pr94755271_int_o > set_Pr1435428853_int_o ).
thf(func_def_334,type,
relAPP556082542_int_o: ( set_Pr94755271_int_o > set_Pr1320171143_int_o ) > set_Pr94755271_int_o > set_Pr1320171143_int_o ).
thf(func_def_335,type,
relAPP274646254_nat_o: ( set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ) > set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ).
thf(func_def_336,type,
relAPP171453998_nat_o: ( set_Pr1659864199_nat_o > set_Pr524661639_nat_o ) > set_Pr1659864199_nat_o > set_Pr524661639_nat_o ).
thf(func_def_337,type,
relAPP752865152_nat_o: ( set_Pr1659864199_nat_o > set_Pr766923865_nat_o ) > set_Pr1659864199_nat_o > set_Pr766923865_nat_o ).
thf(func_def_338,type,
relAPP560972006_nat_o: ( set_Pr310822599_nat_o > set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ) > set_Pr310822599_nat_o > set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ).
thf(func_def_339,type,
relAPP16974672_nat_o: ( set_Pr310822599_nat_o > set_Pr1659864199_nat_o > set_Pr766923865_nat_o ) > set_Pr310822599_nat_o > set_Pr1659864199_nat_o > set_Pr766923865_nat_o ).
thf(func_def_340,type,
relAPP432724078_nat_o: ( set_Pr310822599_nat_o > set_Pr1659864199_nat_o ) > set_Pr310822599_nat_o > set_Pr1659864199_nat_o ).
thf(func_def_341,type,
relAPP759382665nres_d: ( set_Pr24800800nres_d > set_Pr797615136nres_d > set_Pr1712866168nres_d ) > set_Pr24800800nres_d > set_Pr797615136nres_d > set_Pr1712866168nres_d ).
thf(func_def_342,type,
relAPP1210499902_o_o_o: ( set_Pr1933985801_c_o_o > set_Pr934623755_o_o_o > set_Pr1371175689_o_o_o ) > set_Pr1933985801_c_o_o > set_Pr934623755_o_o_o > set_Pr1371175689_o_o_o ).
thf(func_def_343,type,
relAPP483050597nres_c: ( set_Pr134917244nres_c > set_Pr1128439124nres_c > set_Pr404050976nres_c ) > set_Pr134917244nres_c > set_Pr1128439124nres_c > set_Pr404050976nres_c ).
thf(func_def_344,type,
relAPP1293188647nres_b: ( set_Pr1815766654nres_b > set_Pr896671762nres_b > set_Pr1052763806nres_b ) > set_Pr1815766654nres_b > set_Pr896671762nres_b > set_Pr1052763806nres_b ).
thf(func_def_345,type,
relAPP811277159nres_a: ( set_Pr1635457468nres_a > set_Pr1598501265nres_a > set_Pr436741343nres_a ) > set_Pr1635457468nres_a > set_Pr1598501265nres_a > set_Pr436741343nres_a ).
thf(func_def_346,type,
relAPP1716516381nres_d: ( set_Pr589481214nres_d > set_Pr1824526846nres_d > set_Pr613277282nres_d ) > set_Pr589481214nres_d > set_Pr1824526846nres_d > set_Pr613277282nres_d ).
thf(func_def_347,type,
relAPP98076839nres_d: ( set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).
thf(func_def_348,type,
relAPP1482036727nres_d: ( set_Pr589481214nres_d > set_Pr1537816964nres_d ) > set_Pr589481214nres_d > set_Pr1537816964nres_d ).
thf(func_def_349,type,
relAPP1763648999nres_c: ( set_Pr409172028nres_c > set_Pr194842259nres_c > set_Pr181592673nres_c ) > set_Pr409172028nres_c > set_Pr194842259nres_c > set_Pr181592673nres_c ).
thf(func_def_350,type,
relAPP981449866_c_c_c: ( set_Pr1234209675_a_c_c > set_Product_prod_a_c > set_Pr1673989513_c_c_c ) > set_Pr1234209675_a_c_c > set_Product_prod_a_c > set_Pr1673989513_c_c_c ).
thf(func_def_351,type,
relAPP1790450405nres_c: ( set_Pr979578428nres_c > set_Pr1128439124nres_c > set_Pr57594146nres_c ) > set_Pr979578428nres_c > set_Pr1128439124nres_c > set_Pr57594146nres_c ).
thf(func_def_352,type,
relAPP1405476647nres_d: ( set_Pr1434142398nres_d > set_Pr1640496404nres_d > set_Pr451158306nres_d ) > set_Pr1434142398nres_d > set_Pr1640496404nres_d > set_Pr451158306nres_d ).
thf(func_def_353,type,
relAPP38185259nres_b: ( set_Pr1345535106nres_b > set_Pr1176961680nres_b > set_Pr1402127136nres_b ) > set_Pr1345535106nres_b > set_Pr1176961680nres_b > set_Pr1402127136nres_b ).
thf(func_def_354,type,
relAPP990557099nres_d: ( set_Pr119249666nres_d > set_Pr1920786322nres_d > set_Pr1146978466nres_d ) > set_Pr119249666nres_d > set_Pr1920786322nres_d > set_Pr1146978466nres_d ).
thf(func_def_355,type,
relAPP1591113530_o_o_o: ( set_Product_prod_o_o > set_Pr934623755_o_o_o > set_Pr618353415_o_o_o ) > set_Product_prod_o_o > set_Pr934623755_o_o_o > set_Pr618353415_o_o_o ).
thf(func_def_356,type,
relAPP916474178_o_o_o: ( set_Product_prod_o_o > set_Product_prod_o_o > set_Pr934623755_o_o_o ) > set_Product_prod_o_o > set_Product_prod_o_o > set_Pr934623755_o_o_o ).
thf(func_def_357,type,
relAPP267275756_o_int: ( set_Product_prod_o_o > set_Pr1858794777nt_int > set_Pr1437791047_o_int ) > set_Product_prod_o_o > set_Pr1858794777nt_int > set_Pr1437791047_o_int ).
thf(func_def_358,type,
relAPP1320504740_o_nat: ( set_Product_prod_o_o > set_Pr1986765409at_nat > set_Pr343524935_o_nat ) > set_Product_prod_o_o > set_Pr1986765409at_nat > set_Pr343524935_o_nat ).
thf(func_def_359,type,
relAPP1853263758_a_o_c: ( set_Product_prod_o_o > set_Product_prod_a_c > set_Pr709440729_a_o_c ) > set_Product_prod_o_o > set_Product_prod_a_c > set_Pr709440729_a_o_c ).
thf(func_def_360,type,
relAPP1339734044nt_o_o: ( set_Product_prod_o_o > set_Pr1495585653nt_o_o ) > set_Product_prod_o_o > set_Pr1495585653nt_o_o ).
thf(func_def_361,type,
relAPP1579117490_o_o_o: ( set_Product_prod_o_o > set_Pr934623755_o_o_o ) > set_Product_prod_o_o > set_Pr934623755_o_o_o ).
thf(func_def_362,type,
relAPP1300204526_int_o: ( set_Product_prod_o_o > set_Pr94755271_int_o ) > set_Product_prod_o_o > set_Pr94755271_int_o ).
thf(func_def_363,type,
relAPP1516271854_nat_o: ( set_Product_prod_o_o > set_Pr310822599_nat_o ) > set_Product_prod_o_o > set_Pr310822599_nat_o ).
thf(func_def_364,type,
relAPP958748846_int_o: ( set_Pr1858794777nt_int > set_Pr1435428853_int_o > set_Pr1351316363_int_o ) > set_Pr1858794777nt_int > set_Pr1435428853_int_o > set_Pr1351316363_int_o ).
thf(func_def_365,type,
relAPP1963072942nt_o_o: ( set_Pr1858794777nt_int > set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ) > set_Pr1858794777nt_int > set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ).
thf(func_def_366,type,
relAPP1603180590nt_o_o: ( set_Pr1858794777nt_int > set_Pr934623755_o_o_o > set_Pr1006121889nt_o_o ) > set_Pr1858794777nt_int > set_Pr934623755_o_o_o > set_Pr1006121889nt_o_o ).
thf(func_def_367,type,
relAPP1052348760_int_o: ( set_Pr1858794777nt_int > set_Pr94755271_int_o > set_Pr1320171143_int_o ) > set_Pr1858794777nt_int > set_Pr94755271_int_o > set_Pr1320171143_int_o ).
thf(func_def_368,type,
relAPP630143064_int_o: ( set_Pr1858794777nt_int > set_Product_prod_o_o > set_Pr94755271_int_o ) > set_Pr1858794777nt_int > set_Product_prod_o_o > set_Pr94755271_int_o ).
thf(func_def_369,type,
relAPP1991857966nt_int: ( set_Pr1858794777nt_int > set_Pr1858794777nt_int > set_Pr2110946351nt_int ) > set_Pr1858794777nt_int > set_Pr1858794777nt_int > set_Pr2110946351nt_int ).
thf(func_def_370,type,
relAPP1187211054nt_nat: ( set_Pr1858794777nt_int > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ) > set_Pr1858794777nt_int > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ).
thf(func_def_371,type,
relAPP1294852440_int_c: ( set_Pr1858794777nt_int > set_Product_prod_a_c > set_Pr1575377993_int_c ) > set_Pr1858794777nt_int > set_Product_prod_a_c > set_Pr1575377993_int_c ).
thf(func_def_372,type,
relAPP1162049684_o_int: ( set_Pr1858794777nt_int > set_Pr1437791047_o_int ) > set_Pr1858794777nt_int > set_Pr1437791047_o_int ).
thf(func_def_373,type,
relAPP1326544636nt_int: ( set_Pr1858794777nt_int > set_Pr2110946351nt_int ) > set_Pr1858794777nt_int > set_Pr2110946351nt_int ).
thf(func_def_374,type,
relAPP965131844at_int: ( set_Pr1858794777nt_int > set_Pr1749533559at_int ) > set_Pr1858794777nt_int > set_Pr1749533559at_int ).
thf(func_def_375,type,
relAPP2103870142at_o_o: ( set_Pr1986765409at_nat > set_Pr934623755_o_o_o > set_Pr2058424041at_o_o ) > set_Pr1986765409at_nat > set_Pr934623755_o_o_o > set_Pr2058424041at_o_o ).
thf(func_def_376,type,
relAPP1989008800_nat_o: ( set_Pr1986765409at_nat > set_Pr310822599_nat_o > set_Pr1659864199_nat_o ) > set_Pr1986765409at_nat > set_Pr310822599_nat_o > set_Pr1659864199_nat_o ).
thf(func_def_377,type,
relAPP1569030304_nat_o: ( set_Pr1986765409at_nat > set_Product_prod_o_o > set_Pr310822599_nat_o ) > set_Pr1986765409at_nat > set_Product_prod_o_o > set_Pr310822599_nat_o ).
thf(func_def_378,type,
relAPP1879625150at_int: ( set_Pr1986765409at_nat > set_Pr1858794777nt_int > set_Pr1749533559at_int ) > set_Pr1986765409at_nat > set_Pr1858794777nt_int > set_Pr1749533559at_int ).
thf(func_def_379,type,
relAPP1074978238at_nat: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1357842111at_nat ) > set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1357842111at_nat ).
thf(func_def_380,type,
relAPP1647806368_nat_c: ( set_Pr1986765409at_nat > set_Product_prod_a_c > set_Pr933902153_nat_c ) > set_Pr1986765409at_nat > set_Product_prod_a_c > set_Pr933902153_nat_c ).
thf(func_def_381,type,
relAPP912835148_o_nat: ( set_Pr1986765409at_nat > set_Pr343524935_o_nat ) > set_Pr1986765409at_nat > set_Pr343524935_o_nat ).
thf(func_def_382,type,
relAPP1766880508nt_nat: ( set_Pr1986765409at_nat > set_Pr1719254903nt_nat ) > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ).
thf(func_def_383,type,
relAPP1405467716at_nat: ( set_Pr1986765409at_nat > set_Pr1357842111at_nat ) > set_Pr1986765409at_nat > set_Pr1357842111at_nat ).
thf(func_def_384,type,
relAPP1787540131nres_d: ( set_Pr1537816964nres_d > set_Pr1824526846nres_d > set_Pr1710101992nres_d ) > set_Pr1537816964nres_d > set_Pr1824526846nres_d > set_Pr1710101992nres_d ).
thf(func_def_385,type,
relAPP1111247343nres_b: ( set_Pr384614482nres_a > set_Pr1052763806nres_b > set_Pr818594592nres_b ) > set_Pr384614482nres_a > set_Pr1052763806nres_b > set_Pr818594592nres_b ).
thf(func_def_386,type,
relAPP907138281nres_a: ( set_Pr384614482nres_a > set_Pr1361202684nres_a ) > set_Pr384614482nres_a > set_Pr1361202684nres_a ).
thf(func_def_387,type,
relAPP1042385007nres_a: ( set_Pr1830268627nres_b > set_Pr436741343nres_a > set_Pr2039330848nres_a ) > set_Pr1830268627nres_b > set_Pr436741343nres_a > set_Pr2039330848nres_a ).
thf(func_def_388,type,
relAPP422583323nres_d: ( set_Pr1128439124nres_c > set_Pr1712866168nres_d > set_Pr1614046668nres_d ) > set_Pr1128439124nres_c > set_Pr1712866168nres_d > set_Pr1614046668nres_d ).
thf(func_def_389,type,
relAPP177337967nres_c: ( set_Pr1128439124nres_c > set_Pr404050976nres_c > set_Pr882593184nres_c ) > set_Pr1128439124nres_c > set_Pr404050976nres_c > set_Pr882593184nres_c ).
thf(func_def_390,type,
relAPP1396672239nres_d: ( set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).
thf(func_def_391,type,
relAPP1774615993nres_c: ( set_Pr1128439124nres_c > set_Pr404050976nres_c ) > set_Pr1128439124nres_c > set_Pr404050976nres_c ).
thf(func_def_392,type,
relAPP489595641nres_c: ( set_Pr1128439124nres_c > set_Pr57594146nres_c ) > set_Pr1128439124nres_c > set_Pr57594146nres_c ).
thf(func_def_393,type,
relAPP2018433511nres_c: ( set_Pr1128439124nres_c > set_Pr134917244nres_c ) > set_Pr1128439124nres_c > set_Pr134917244nres_c ).
thf(func_def_394,type,
relAPP1564590053nres_c: ( set_Pr1128439124nres_c > set_Pr979578428nres_c ) > set_Pr1128439124nres_c > set_Pr979578428nres_c ).
thf(func_def_395,type,
relAPP1327809903nres_c: ( set_Pr426609621nres_d > set_Pr181592673nres_c > set_Pr1245537056nres_c ) > set_Pr426609621nres_d > set_Pr181592673nres_c > set_Pr1245537056nres_c ).
thf(func_def_396,type,
relAPP919190011nres_a: ( set_Pr1598501265nres_a > set_Pr436741343nres_a ) > set_Pr1598501265nres_a > set_Pr436741343nres_a ).
thf(func_def_397,type,
relAPP587861290nres_a: ( set_Pr1598501265nres_a > set_Pr1635457468nres_a ) > set_Pr1598501265nres_a > set_Pr1635457468nres_a ).
thf(func_def_398,type,
relAPP2095637113nres_b: ( set_Pr896671762nres_b > set_Pr1052763806nres_b ) > set_Pr896671762nres_b > set_Pr1052763806nres_b ).
thf(func_def_399,type,
relAPP1936960811nres_b: ( set_Pr896671762nres_b > set_Pr1815766654nres_b ) > set_Pr896671762nres_b > set_Pr1815766654nres_b ).
thf(func_def_400,type,
relAPP1483117353nres_b: ( set_Pr896671762nres_b > set_Pr512944190nres_b ) > set_Pr896671762nres_b > set_Pr512944190nres_b ).
thf(func_def_401,type,
relAPP1784890619nres_c: ( set_Pr194842259nres_c > set_Pr181592673nres_c ) > set_Pr194842259nres_c > set_Pr181592673nres_c ).
thf(func_def_402,type,
relAPP1699156520nres_c: ( set_Pr194842259nres_c > set_Pr409172028nres_c ) > set_Pr194842259nres_c > set_Pr409172028nres_c ).
thf(func_def_403,type,
relAPP492592111nres_c: ( set_Pr1640496404nres_d > set_Pr57594146nres_c > set_Pr1652381728nres_c ) > set_Pr1640496404nres_d > set_Pr57594146nres_c > set_Pr1652381728nres_c ).
thf(func_def_404,type,
relAPP1711926383nres_d: ( set_Pr1640496404nres_d > set_Pr451158306nres_d > set_Pr794589344nres_d ) > set_Pr1640496404nres_d > set_Pr451158306nres_d > set_Pr794589344nres_d ).
thf(func_def_405,type,
relAPP1552964229nres_d: ( set_Pr1640496404nres_d > set_Pr1824526846nres_d ) > set_Pr1640496404nres_d > set_Pr1824526846nres_d ).
thf(func_def_406,type,
relAPP813854073nres_d: ( set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr1640496404nres_d > set_Pr797615136nres_d ).
thf(func_def_407,type,
relAPP1676317369nres_d: ( set_Pr1640496404nres_d > set_Pr451158306nres_d ) > set_Pr1640496404nres_d > set_Pr451158306nres_d ).
thf(func_def_408,type,
relAPP900772393nres_d: ( set_Pr1640496404nres_d > set_Pr589481214nres_d ) > set_Pr1640496404nres_d > set_Pr589481214nres_d ).
thf(func_def_409,type,
relAPP446928935nres_d: ( set_Pr1640496404nres_d > set_Pr1434142398nres_d ) > set_Pr1640496404nres_d > set_Pr1434142398nres_d ).
thf(func_def_410,type,
relAPP1747515631nres_b: ( set_Pr664904400nres_a > set_Pr1402127136nres_b > set_Pr1436380704nres_b ) > set_Pr664904400nres_a > set_Pr1402127136nres_b > set_Pr1436380704nres_b ).
thf(func_def_411,type,
relAPP947801195nres_a: ( set_Pr664904400nres_a > set_Pr890971136nres_a ) > set_Pr664904400nres_a > set_Pr890971136nres_a ).
thf(func_def_412,type,
relAPP2032940527nres_d: ( set_Pr1408729042nres_c > set_Pr1146978466nres_d > set_Pr642586912nres_d ) > set_Pr1408729042nres_c > set_Pr1146978466nres_d > set_Pr642586912nres_d ).
thf(func_def_413,type,
relAPP2059096425nres_c: ( set_Pr1408729042nres_c > set_Pr1812169344nres_c ) > set_Pr1408729042nres_c > set_Pr1812169344nres_c ).
thf(func_def_414,type,
relAPP1033339257nres_b: ( set_Pr1176961680nres_b > set_Pr1402127136nres_b ) > set_Pr1176961680nres_b > set_Pr1402127136nres_b ).
thf(func_def_415,type,
relAPP1977623725nres_b: ( set_Pr1176961680nres_b > set_Pr1345535106nres_b ) > set_Pr1176961680nres_b > set_Pr1345535106nres_b ).
thf(func_def_416,type,
relAPP1523780267nres_b: ( set_Pr1176961680nres_b > set_Pr42712642nres_b ) > set_Pr1176961680nres_b > set_Pr42712642nres_b ).
thf(func_def_417,type,
relAPP1899039865nres_d: ( set_Pr1920786322nres_d > set_Pr1146978466nres_d ) > set_Pr1920786322nres_d > set_Pr1146978466nres_d ).
thf(func_def_418,type,
relAPP941435307nres_d: ( set_Pr1920786322nres_d > set_Pr119249666nres_d ) > set_Pr1920786322nres_d > set_Pr119249666nres_d ).
thf(func_def_419,type,
relAPP1740535279nres_b: ( set_Product_prod_a_a > set_Pr1052763806nres_b > set_Pr1358127528nres_b ) > set_Product_prod_a_a > set_Pr1052763806nres_b > set_Pr1358127528nres_b ).
thf(func_def_420,type,
relAPP439940547nres_a: ( set_Product_prod_a_a > set_Pr384614482nres_a > set_Pr1361202684nres_a ) > set_Product_prod_a_a > set_Pr384614482nres_a > set_Pr1361202684nres_a ).
thf(func_def_421,type,
relAPP1536875909nres_b: ( set_Product_prod_a_a > set_Pr896671762nres_b > set_Pr1815766654nres_b ) > set_Product_prod_a_a > set_Pr896671762nres_b > set_Pr1815766654nres_b ).
thf(func_def_422,type,
relAPP1642956907nres_a: ( set_Product_prod_a_a > set_Pr384614482nres_a ) > set_Product_prod_a_a > set_Pr384614482nres_a ).
thf(func_def_423,type,
relAPP456341443nres_a: ( set_Product_prod_a_b > set_Pr1598501265nres_a > set_Pr1635457468nres_a ) > set_Product_prod_a_b > set_Pr1598501265nres_a > set_Pr1635457468nres_a ).
thf(func_def_424,type,
relAPP11374829nres_b: ( set_Product_prod_a_b > set_Pr1830268627nres_b ) > set_Product_prod_a_b > set_Pr1830268627nres_b ).
thf(func_def_425,type,
relAPP913737114_o_o_o: ( set_Product_prod_a_c > set_Pr1371175689_o_o_o > set_Pr1774281699_o_o_o ) > set_Product_prod_a_c > set_Pr1371175689_o_o_o > set_Pr1774281699_o_o_o ).
thf(func_def_426,type,
relAPP1155943915nres_c: ( set_Product_prod_a_c > set_Pr404050976nres_c > set_Pr1250642728nres_c ) > set_Product_prod_a_c > set_Pr404050976nres_c > set_Pr1250642728nres_c ).
thf(func_def_427,type,
relAPP1135042155nres_d: ( set_Product_prod_a_c > set_Pr797615136nres_d > set_Pr2080238504nres_d ) > set_Product_prod_a_c > set_Pr797615136nres_d > set_Pr2080238504nres_d ).
thf(func_def_428,type,
relAPP1889825126_c_c_c: ( set_Product_prod_a_c > set_Pr1673989513_c_c_c > set_Pr807116335_c_c_c ) > set_Product_prod_a_c > set_Pr1673989513_c_c_c > set_Pr807116335_c_c_c ).
thf(func_def_429,type,
relAPP589338430_c_o_o: ( set_Product_prod_a_c > set_Pr934623755_o_o_o > set_Pr1933985801_c_o_o ) > set_Product_prod_a_c > set_Pr934623755_o_o_o > set_Pr1933985801_c_o_o ).
thf(func_def_430,type,
relAPP173519167nres_c: ( set_Product_prod_a_c > set_Pr1128439124nres_c > set_Pr134917244nres_c ) > set_Product_prod_a_c > set_Pr1128439124nres_c > set_Pr134917244nres_c ).
thf(func_def_431,type,
relAPP1270454529nres_d: ( set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ) > set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ).
thf(func_def_432,type,
relAPP887115074_a_c_c: ( set_Product_prod_a_c > set_Product_prod_a_c > set_Pr1234209675_a_c_c ) > set_Product_prod_a_c > set_Product_prod_a_c > set_Pr1234209675_a_c_c ).
thf(func_def_433,type,
relAPP1774770060_o_c_c: ( set_Product_prod_a_c > set_Pr46530663_o_c_c ) > set_Product_prod_a_c > set_Pr46530663_o_c_c ).
thf(func_def_434,type,
relAPP970620078_o_o_c: ( set_Product_prod_a_c > set_Pr1955643401_o_o_c ) > set_Product_prod_a_c > set_Pr1955643401_o_o_c ).
thf(func_def_435,type,
relAPP1311785006_c_c_c: ( set_Product_prod_a_c > set_Pr1673989513_c_c_c ) > set_Product_prod_a_c > set_Pr1673989513_c_c_c ).
thf(func_def_436,type,
relAPP1886573054_a_o_c: ( set_Product_prod_a_c > set_Pr709440729_a_o_c ) > set_Product_prod_a_c > set_Pr709440729_a_o_c ).
thf(func_def_437,type,
relAPP94675694_int_c: ( set_Product_prod_a_c > set_Pr1575377993_int_c ) > set_Product_prod_a_c > set_Pr1575377993_int_c ).
thf(func_def_438,type,
relAPP1600683502_nat_c: ( set_Product_prod_a_c > set_Pr933902153_nat_c ) > set_Product_prod_a_c > set_Pr933902153_nat_c ).
thf(func_def_439,type,
relAPP237429680_a_c_c: ( set_Product_prod_a_c > set_Pr1234209675_a_c_c ) > set_Product_prod_a_c > set_Pr1234209675_a_c_c ).
thf(func_def_440,type,
relAPP527276399nres_c: ( set_Product_prod_a_c > set_Pr1128439124nres_c ) > set_Product_prod_a_c > set_Pr1128439124nres_c ).
thf(func_def_441,type,
relAPP189920063nres_c: ( set_Product_prod_a_d > set_Pr194842259nres_c > set_Pr409172028nres_c ) > set_Product_prod_a_d > set_Pr194842259nres_c > set_Pr409172028nres_c ).
thf(func_def_442,type,
relAPP1043177969nres_d: ( set_Product_prod_a_d > set_Pr426609621nres_d ) > set_Product_prod_a_d > set_Pr426609621nres_d ).
thf(func_def_443,type,
relAPP1912873449nres_a: ( set_Product_prod_b_a > set_Pr1598501265nres_a ) > set_Product_prod_b_a > set_Pr1598501265nres_a ).
thf(func_def_444,type,
relAPP2073227843nres_b: ( set_Product_prod_b_b > set_Pr896671762nres_b > set_Pr512944190nres_b ) > set_Product_prod_b_b > set_Pr896671762nres_b > set_Pr512944190nres_b ).
thf(func_def_445,type,
relAPP281291371nres_b: ( set_Product_prod_b_b > set_Pr896671762nres_b ) > set_Product_prod_b_b > set_Pr896671762nres_b ).
thf(func_def_446,type,
relAPP797192941nres_c: ( set_Product_prod_b_c > set_Pr194842259nres_c ) > set_Product_prod_b_c > set_Pr194842259nres_c ).
thf(func_def_447,type,
relAPP2017502121nres_c: ( set_Product_prod_b_d > set_Pr57594146nres_c > set_Pr584391464nres_c ) > set_Product_prod_b_d > set_Pr57594146nres_c > set_Pr584391464nres_c ).
thf(func_def_448,type,
relAPP1996600361nres_d: ( set_Product_prod_b_d > set_Pr451158306nres_d > set_Pr1413987240nres_d ) > set_Product_prod_b_d > set_Pr451158306nres_d > set_Pr1413987240nres_d ).
thf(func_def_449,type,
relAPP709871101nres_c: ( set_Product_prod_b_d > set_Pr1128439124nres_c > set_Pr979578428nres_c ) > set_Product_prod_b_d > set_Pr1128439124nres_c > set_Pr979578428nres_c ).
thf(func_def_450,type,
relAPP1806806463nres_d: ( set_Product_prod_b_d > set_Pr1640496404nres_d > set_Pr1434142398nres_d ) > set_Product_prod_b_d > set_Pr1640496404nres_d > set_Pr1434142398nres_d ).
thf(func_def_451,type,
relAPP1313094511nres_d: ( set_Product_prod_b_d > set_Pr1640496404nres_d ) > set_Product_prod_b_d > set_Pr1640496404nres_d ).
thf(func_def_452,type,
relAPP1825452871nres_a: ( set_Product_prod_c_a > set_Pr664904400nres_a > set_Pr890971136nres_a ) > set_Product_prod_c_a > set_Pr664904400nres_a > set_Pr890971136nres_a ).
thf(func_def_453,type,
relAPP774904585nres_b: ( set_Product_prod_c_a > set_Pr1176961680nres_b > set_Pr1345535106nres_b ) > set_Product_prod_c_a > set_Pr1176961680nres_b > set_Pr1345535106nres_b ).
thf(func_def_454,type,
relAPP35306343nres_a: ( set_Product_prod_c_a > set_Pr664904400nres_a ) > set_Product_prod_c_a > set_Pr664904400nres_a ).
thf(func_def_455,type,
relAPP1559031491nres_c: ( set_Product_prod_c_c > set_Pr1408729042nres_c > set_Pr1812169344nres_c ) > set_Product_prod_c_c > set_Pr1408729042nres_c > set_Pr1812169344nres_c ).
thf(func_def_456,type,
relAPP508483205nres_d: ( set_Product_prod_c_c > set_Pr1920786322nres_d > set_Pr119249666nres_d ) > set_Product_prod_c_c > set_Pr1920786322nres_d > set_Pr119249666nres_d ).
thf(func_def_457,type,
relAPP1067109483nres_c: ( set_Product_prod_c_c > set_Pr1408729042nres_c ) > set_Product_prod_c_c > set_Pr1408729042nres_c ).
thf(func_def_458,type,
relAPP1311256519nres_b: ( set_Product_prod_d_b > set_Pr1176961680nres_b > set_Pr42712642nres_b ) > set_Product_prod_d_b > set_Pr1176961680nres_b > set_Pr42712642nres_b ).
thf(func_def_459,type,
relAPP821124455nres_b: ( set_Product_prod_d_b > set_Pr1176961680nres_b ) > set_Product_prod_d_b > set_Pr1176961680nres_b ).
thf(func_def_460,type,
relAPP1852927595nres_d: ( set_Product_prod_d_d > set_Pr1920786322nres_d ) > set_Product_prod_d_d > set_Pr1920786322nres_d ).
thf(func_def_461,type,
collec1760248548_nat_o: ( produc1314004473_nat_o > $o ) > set_Pr766923865_nat_o ).
thf(func_def_462,type,
collec1321668993nres_d: ( produc809931564nres_d > $o ) > set_Pr613277282nres_d ).
thf(func_def_463,type,
collec1671161663nres_d: ( produc1757587562nres_d > $o ) > set_Pr797615136nres_d ).
thf(func_def_464,type,
collec149876626_o_o_o: ( produc46704423_o_o_o > $o ) > set_Pr618353415_o_o_o ).
thf(func_def_465,type,
collec1505367958_o_o_o: ( product_prod_o_o_o_o > $o ) > set_Pr934623755_o_o_o ).
thf(func_def_466,type,
collec964422930_int_o: ( produc480790439_int_o > $o ) > set_Pr1320171143_int_o ).
thf(func_def_467,type,
collec1208105746_nat_o: ( produc724473255_nat_o > $o ) > set_Pr1659864199_nat_o ).
thf(func_def_468,type,
collec554837959nres_d: ( produc1677145714nres_d > $o ) > set_Pr2080238504nres_d ).
thf(func_def_469,type,
collec1639315997nres_d: ( produc2103861704nres_d > $o ) > set_Pr589481214nres_d ).
thf(func_def_470,type,
collec662378644od_a_c: ( product_prod_a_c > $o ) > set_Product_prod_a_c ).
thf(func_def_471,type,
member77287248_o_o_o: produc1039600167_o_o_o > set_Pr68707591_o_o_o > $o ).
thf(func_def_472,type,
member1888652380_o_o_o: produc1839156403_o_o_o > set_Pr2088790547_o_o_o > $o ).
thf(func_def_473,type,
member898353616_nat_o: produc1174115751_nat_o > set_Pr524661639_nat_o > $o ).
thf(func_def_474,type,
member1270020946_o_o_c: produc2056997417_o_o_c > set_Pr1955643401_o_o_c > $o ).
thf(func_def_475,type,
member1641679352_nat_o: produc416848975_nat_o > set_Pr1125433775_nat_o > $o ).
thf(func_def_476,type,
member1184737698_nat_o: produc1314004473_nat_o > set_Pr766923865_nat_o > $o ).
thf(func_def_477,type,
member660096835nres_d: produc809931564nres_d > set_Pr613277282nres_d > $o ).
thf(func_def_478,type,
member461830657nres_d: produc1757587562nres_d > set_Pr797615136nres_d > $o ).
thf(func_def_479,type,
member62857552_o_o_o: produc46704423_o_o_o > set_Pr618353415_o_o_o > $o ).
thf(func_def_480,type,
member250723412_o_o_o: product_prod_o_o_o_o > set_Pr934623755_o_o_o > $o ).
thf(func_def_481,type,
member1374144912_o_int: produc922271079_o_int > set_Pr1437791047_o_int > $o ).
thf(func_def_482,type,
member296230032_o_nat: produc1991839847_o_nat > set_Pr343524935_o_nat > $o ).
thf(func_def_483,type,
member1078413858_a_o_c: product_prod_o_a_o_c > set_Pr709440729_a_o_c > $o ).
thf(func_def_484,type,
member764986836_int_o: produc1616993579_int_o > set_Pr1351316363_int_o > $o ).
thf(func_def_485,type,
member672653908nt_o_o: produc496448427nt_o_o > set_Pr1524520971nt_o_o > $o ).
thf(func_def_486,type,
member1749460202nt_o_o: produc426758977nt_o_o > set_Pr1006121889nt_o_o > $o ).
thf(func_def_487,type,
member93171920_int_o: produc480790439_int_o > set_Pr1320171143_int_o > $o ).
thf(func_def_488,type,
member2072375312_int_o: produc1620501479_int_o > set_Pr94755271_int_o > $o ).
thf(func_def_489,type,
member1698479224nt_int: produc719214799nt_int > set_Pr2110946351nt_int > $o ).
thf(func_def_490,type,
member221455296nt_nat: produc1389674519nt_nat > set_Pr1719254903nt_nat > $o ).
thf(func_def_491,type,
member716152722_int_c: produc1769036905_int_c > set_Pr1575377993_int_c > $o ).
thf(func_def_492,type,
member1805296690at_o_o: produc482595465at_o_o > set_Pr2058424041at_o_o > $o ).
thf(func_def_493,type,
member336854736_nat_o: produc724473255_nat_o > set_Pr1659864199_nat_o > $o ).
thf(func_def_494,type,
member1330470160_nat_o: produc878596327_nat_o > set_Pr310822599_nat_o > $o ).
thf(func_def_495,type,
member1589848000at_int: produc610583575at_int > set_Pr1749533559at_int > $o ).
thf(func_def_496,type,
member112824072at_nat: produc1281043295at_nat > set_Pr1357842111at_nat > $o ).
thf(func_def_497,type,
member91290258_nat_c: produc1144174441_nat_c > set_Pr933902153_nat_c > $o ).
thf(func_def_498,type,
member449974729nres_d: produc1834705330nres_d > set_Pr1710101992nres_d > $o ).
thf(func_def_499,type,
member508530605nres_d: produc819780758nres_d > set_Pr1614046668nres_d > $o ).
thf(func_def_500,type,
member1751415169nres_c: produc1581500522nres_c > set_Pr882593184nres_c > $o ).
thf(func_def_501,type,
member1700179713nres_b: produc1530265066nres_b > set_Pr818594592nres_b > $o ).
thf(func_def_502,type,
member1468277761nres_a: produc1298363114nres_a > set_Pr2039330848nres_a > $o ).
thf(func_def_503,type,
member65788417nres_d: produc2043357418nres_d > set_Pr24800800nres_d > $o ).
thf(func_def_504,type,
member1981370113nres_c: produc1811455466nres_c > set_Pr1245537056nres_c > $o ).
thf(func_def_505,type,
member1715717121nres_c: produc1545802474nres_c > set_Pr1652381728nres_c > $o ).
thf(func_def_506,type,
member30090369nres_d: produc2007659370nres_d > set_Pr794589344nres_d > $o ).
thf(func_def_507,type,
member2039405057nres_b: produc1869490410nres_b > set_Pr1436380704nres_b > $o ).
thf(func_def_508,type,
member405013761nres_d: produc235099114nres_d > set_Pr642586912nres_d > $o ).
thf(func_def_509,type,
member427035401nres_c: produc1914459634nres_c > set_Pr1250642728nres_c > $o ).
thf(func_def_510,type,
member757031305nres_b: produc96971890nres_b > set_Pr1358127528nres_b > $o ).
thf(func_def_511,type,
member189721481nres_d: produc1677145714nres_d > set_Pr2080238504nres_d > $o ).
thf(func_def_512,type,
member1051493202_c_o_o: produc1838469673_c_o_o > set_Pr1933985801_c_o_o > $o ).
thf(func_def_513,type,
member1680325597nres_a: produc699795910nres_a > set_Pr1361202684nres_a > $o ).
thf(func_def_514,type,
member100096605nres_c: produc1267050566nres_c > set_Pr134917244nres_c > $o ).
thf(func_def_515,type,
member369653087nres_b: produc1536607048nres_b > set_Pr1815766654nres_b > $o ).
thf(func_def_516,type,
member936907743nres_d: produc2103861704nres_d > set_Pr589481214nres_d > $o ).
thf(func_def_517,type,
member1010099668_a_c_c: product_prod_a_a_c_c > set_Pr1234209675_a_c_c > $o ).
thf(func_def_518,type,
member228973321nres_c: produc1716397554nres_c > set_Pr584391464nres_c > $o ).
thf(func_def_519,type,
member2139143049nres_d: produc1479083634nres_d > set_Pr1413987240nres_d > $o ).
thf(func_def_520,type,
member2086976541nres_c: produc1106446854nres_c > set_Pr979578428nres_c > $o ).
thf(func_def_521,type,
member209049375nres_b: produc1376003336nres_b > set_Pr512944190nres_b > $o ).
thf(func_def_522,type,
member776304031nres_d: produc1943257992nres_d > set_Pr1434142398nres_d > $o ).
thf(func_def_523,type,
member318002145nres_a: produc1484956106nres_a > set_Pr890971136nres_a > $o ).
thf(func_def_524,type,
member885256801nres_c: produc2052210762nres_c > set_Pr1812169344nres_c > $o ).
thf(func_def_525,type,
member994209571nres_b: produc13679884nres_b > set_Pr42712642nres_b > $o ).
thf(func_def_526,type,
member55945296od_o_o: product_prod_o_o > set_Product_prod_o_o > $o ).
thf(func_def_527,type,
member776767074nt_int: product_prod_int_int > set_Pr1858794777nt_int > $o ).
thf(func_def_528,type,
member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).
thf(func_def_529,type,
member1468928819nres_a: produc1609974940nres_a > set_Pr384614482nres_a > $o ).
thf(func_def_530,type,
member1600573749nres_c: produc1741619870nres_c > set_Pr1128439124nres_c > $o ).
thf(func_def_531,type,
member1446466291nres_b: produc1587512412nres_b > set_Pr896671762nres_b > $o ).
thf(func_def_532,type,
member1578111221nres_d: produc1719157342nres_d > set_Pr1640496404nres_d > $o ).
thf(func_def_533,type,
member1292358833nres_a: produc1433404954nres_a > set_Pr664904400nres_a > $o ).
thf(func_def_534,type,
member1424003763nres_c: produc1565049884nres_c > set_Pr1408729042nres_c > $o ).
thf(func_def_535,type,
member1269896305nres_b: produc1410942426nres_b > set_Pr1176961680nres_b > $o ).
thf(func_def_536,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_537,type,
member466432594od_a_c: product_prod_a_c > set_Product_prod_a_c > $o ).
thf(func_def_538,type,
member1302463506od_b_d: product_prod_b_d > set_Product_prod_b_d > $o ).
thf(func_def_539,type,
r1: set_Product_prod_a_c ).
thf(func_def_540,type,
r2: set_Product_prod_b_d ).
thf(func_def_542,type,
vIMP: $o > $o > $o ).
thf(func_def_543,type,
vNOT: $o > $o ).
thf(func_def_544,type,
vOR: $o > $o > $o ).
thf(func_def_545,type,
vAND: $o > $o > $o ).
thf(func_def_548,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_549,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_550,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_551,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_552,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_553,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_554,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_555,type,
sK0: set_Product_prod_o_o > ( int > $o ) > ( int > $o ) > set_Pr1858794777nt_int > int ).
thf(func_def_556,type,
sK1: set_Product_prod_o_o > ( int > $o ) > ( int > $o ) > set_Pr1858794777nt_int > int ).
thf(func_def_557,type,
sK2: set_Product_prod_o_o > ( $o > $o ) > ( $o > $o ) > set_Product_prod_o_o > $o ).
thf(func_def_558,type,
sK3: set_Product_prod_o_o > ( $o > $o ) > ( $o > $o ) > set_Product_prod_o_o > $o ).
thf(func_def_559,type,
sK4: set_Pr1640496404nres_d > ( c > refine449204144nres_d ) > ( a > refine432681134nres_b ) > set_Product_prod_a_c > a ).
thf(func_def_560,type,
sK5: set_Pr1640496404nres_d > ( c > refine449204144nres_d ) > ( a > refine432681134nres_b ) > set_Product_prod_a_c > c ).
thf(func_def_561,type,
sK6: set_Pr310822599_nat_o > ( nat > nat > $o ) > ( nat > nat > $o ) > set_Pr1986765409at_nat > nat ).
thf(func_def_562,type,
sK7: set_Pr310822599_nat_o > ( nat > nat > $o ) > ( nat > nat > $o ) > set_Pr1986765409at_nat > nat ).
thf(func_def_563,type,
sK8: set_Pr94755271_int_o > ( int > int > $o ) > ( int > int > $o ) > set_Pr1858794777nt_int > int ).
thf(func_def_564,type,
sK9: set_Pr94755271_int_o > ( int > int > $o ) > ( int > int > $o ) > set_Pr1858794777nt_int > int ).
thf(func_def_565,type,
sK10: set_Pr934623755_o_o_o > ( $o > $o > $o ) > ( $o > $o > $o ) > set_Product_prod_o_o > $o ).
thf(func_def_566,type,
sK11: set_Pr934623755_o_o_o > ( $o > $o > $o ) > ( $o > $o > $o ) > set_Product_prod_o_o > $o ).
thf(func_def_567,type,
sK12: set_Pr1640496404nres_d > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > set_Pr589481214nres_d > a > refine432681134nres_b ).
thf(func_def_568,type,
sK13: set_Pr1640496404nres_d > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > set_Pr589481214nres_d > c > refine449204144nres_d ).
thf(func_def_569,type,
sK14: set_Pr934623755_o_o_o > ( ( $o > $o ) > $o > $o ) > ( ( $o > $o ) > $o > $o ) > set_Pr934623755_o_o_o > $o > $o ).
thf(func_def_570,type,
sK15: set_Pr934623755_o_o_o > ( ( $o > $o ) > $o > $o ) > ( ( $o > $o ) > $o > $o ) > set_Pr934623755_o_o_o > $o > $o ).
thf(func_def_571,type,
sK16: set_Pr1659864199_nat_o > ( ( nat > $o ) > nat > nat > $o ) > ( ( nat > $o ) > nat > nat > $o ) > set_Pr310822599_nat_o > nat > $o ).
thf(func_def_572,type,
sK17: set_Pr1659864199_nat_o > ( ( nat > $o ) > nat > nat > $o ) > ( ( nat > $o ) > nat > nat > $o ) > set_Pr310822599_nat_o > nat > $o ).
thf(func_def_573,type,
sK18: set_Pr618353415_o_o_o > ( ( $o > $o ) > $o > $o > $o ) > ( ( $o > $o ) > $o > $o > $o ) > set_Pr934623755_o_o_o > $o > $o ).
thf(func_def_574,type,
sK19: set_Pr618353415_o_o_o > ( ( $o > $o ) > $o > $o > $o ) > ( ( $o > $o ) > $o > $o > $o ) > set_Pr934623755_o_o_o > $o > $o ).
thf(func_def_575,type,
sK20: ( product_prod_o_o_o_o > $o ) > $o > $o ).
thf(func_def_576,type,
sK21: ( product_prod_o_o_o_o > $o ) > $o > $o ).
thf(func_def_577,type,
sK22: ( produc46704423_o_o_o > $o ) > $o > $o > $o ).
thf(func_def_578,type,
sK23: ( produc46704423_o_o_o > $o ) > $o > $o > $o ).
thf(func_def_579,type,
sK24: ( produc724473255_nat_o > $o ) > nat > nat > $o ).
thf(func_def_580,type,
sK25: ( produc724473255_nat_o > $o ) > nat > nat > $o ).
thf(func_def_581,type,
sK26: ( produc480790439_int_o > $o ) > int > int > $o ).
thf(func_def_582,type,
sK27: ( produc480790439_int_o > $o ) > int > int > $o ).
thf(func_def_583,type,
sK28: ( produc1314004473_nat_o > $o ) > ( nat > $o ) > nat > nat > $o ).
thf(func_def_584,type,
sK29: ( produc1314004473_nat_o > $o ) > ( nat > $o ) > nat > nat > $o ).
thf(func_def_585,type,
sK30: ( produc1757587562nres_d > $o ) > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_586,type,
sK31: ( produc1757587562nres_d > $o ) > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_587,type,
sK32: ( produc809931564nres_d > $o ) > ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_588,type,
sK33: ( produc809931564nres_d > $o ) > ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_589,type,
sK34: ( produc2103861704nres_d > $o ) > a > refine432681134nres_b ).
thf(func_def_590,type,
sK35: ( produc2103861704nres_d > $o ) > c > refine449204144nres_d ).
thf(func_def_591,type,
sK36: ( produc1677145714nres_d > $o ) > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_592,type,
sK37: ( produc1677145714nres_d > $o ) > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_593,type,
sK38: ( product_prod_a_c > $o ) > a ).
thf(func_def_594,type,
sK39: ( product_prod_a_c > $o ) > c ).
thf(func_def_595,type,
sK40: product_prod_o_o_o_o > $o > $o ).
thf(func_def_596,type,
sK41: product_prod_o_o_o_o > $o > $o ).
thf(func_def_597,type,
sK42: produc46704423_o_o_o > $o > $o > $o ).
thf(func_def_598,type,
sK43: produc46704423_o_o_o > $o > $o > $o ).
thf(func_def_599,type,
sK44: produc724473255_nat_o > nat > nat > $o ).
thf(func_def_600,type,
sK45: produc724473255_nat_o > nat > nat > $o ).
thf(func_def_601,type,
sK46: produc480790439_int_o > int > int > $o ).
thf(func_def_602,type,
sK47: produc480790439_int_o > int > int > $o ).
thf(func_def_603,type,
sK48: produc1314004473_nat_o > ( nat > $o ) > nat > nat > $o ).
thf(func_def_604,type,
sK49: produc1314004473_nat_o > ( nat > $o ) > nat > nat > $o ).
thf(func_def_605,type,
sK50: produc1757587562nres_d > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_606,type,
sK51: produc1757587562nres_d > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_607,type,
sK52: produc809931564nres_d > ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_608,type,
sK53: produc809931564nres_d > ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_609,type,
sK54: produc2103861704nres_d > a > refine432681134nres_b ).
thf(func_def_610,type,
sK55: produc2103861704nres_d > c > refine449204144nres_d ).
thf(func_def_611,type,
sK56: produc1677145714nres_d > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_612,type,
sK57: produc1677145714nres_d > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_613,type,
sK58: product_prod_a_c > a ).
thf(func_def_614,type,
sK59: product_prod_a_c > c ).
thf(func_def_615,type,
sK60: ( product_prod_o_o_o_o > $o ) > $o > $o ).
thf(func_def_616,type,
sK61: ( product_prod_o_o_o_o > $o ) > $o > $o ).
thf(func_def_617,type,
sK62: ( produc46704423_o_o_o > $o ) > $o > $o > $o ).
thf(func_def_618,type,
sK63: ( produc46704423_o_o_o > $o ) > $o > $o > $o ).
thf(func_def_619,type,
sK64: ( produc724473255_nat_o > $o ) > nat > nat > $o ).
thf(func_def_620,type,
sK65: ( produc724473255_nat_o > $o ) > nat > nat > $o ).
thf(func_def_621,type,
sK66: ( produc480790439_int_o > $o ) > int > int > $o ).
thf(func_def_622,type,
sK67: ( produc480790439_int_o > $o ) > int > int > $o ).
thf(func_def_623,type,
sK68: ( produc1314004473_nat_o > $o ) > ( nat > $o ) > nat > nat > $o ).
thf(func_def_624,type,
sK69: ( produc1314004473_nat_o > $o ) > ( nat > $o ) > nat > nat > $o ).
thf(func_def_625,type,
sK70: ( produc1757587562nres_d > $o ) > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_626,type,
sK71: ( produc1757587562nres_d > $o ) > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_627,type,
sK72: ( produc809931564nres_d > $o ) > ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_628,type,
sK73: ( produc809931564nres_d > $o ) > ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_629,type,
sK74: ( produc2103861704nres_d > $o ) > a > refine432681134nres_b ).
thf(func_def_630,type,
sK75: ( produc2103861704nres_d > $o ) > c > refine449204144nres_d ).
thf(func_def_631,type,
sK76: ( produc1677145714nres_d > $o ) > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_632,type,
sK77: ( produc1677145714nres_d > $o ) > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_633,type,
sK78: ( product_prod_a_c > $o ) > a ).
thf(func_def_634,type,
sK79: ( product_prod_a_c > $o ) > c ).
thf(func_def_635,type,
sK80: product_prod_o_o_o_o > $o > $o ).
thf(func_def_636,type,
sK81: product_prod_o_o_o_o > $o > $o ).
thf(func_def_637,type,
sK82: produc46704423_o_o_o > $o > $o > $o ).
thf(func_def_638,type,
sK83: produc46704423_o_o_o > $o > $o > $o ).
thf(func_def_639,type,
sK84: produc724473255_nat_o > nat > nat > $o ).
thf(func_def_640,type,
sK85: produc724473255_nat_o > nat > nat > $o ).
thf(func_def_641,type,
sK86: produc480790439_int_o > int > int > $o ).
thf(func_def_642,type,
sK87: produc480790439_int_o > int > int > $o ).
thf(func_def_643,type,
sK88: produc1314004473_nat_o > ( nat > $o ) > nat > nat > $o ).
thf(func_def_644,type,
sK89: produc1314004473_nat_o > ( nat > $o ) > nat > nat > $o ).
thf(func_def_645,type,
sK90: produc1757587562nres_d > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_646,type,
sK91: produc1757587562nres_d > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_647,type,
sK92: produc809931564nres_d > ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_648,type,
sK93: produc809931564nres_d > ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_649,type,
sK94: produc2103861704nres_d > a > refine432681134nres_b ).
thf(func_def_650,type,
sK95: produc2103861704nres_d > c > refine449204144nres_d ).
thf(func_def_651,type,
sK96: produc1677145714nres_d > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_652,type,
sK97: produc1677145714nres_d > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_653,type,
sK98: product_prod_a_c > a ).
thf(func_def_654,type,
sK99: product_prod_a_c > c ).
thf(func_def_655,type,
sK100: set_Product_prod_o_o > ( int > $o ) > ( int > $o ) > set_Pr1858794777nt_int > int > int ).
thf(func_def_656,type,
sK101: set_Product_prod_o_o > ( int > $o ) > ( int > $o ) > set_Pr1858794777nt_int > int > int ).
thf(func_def_657,type,
sK102: set_Product_prod_a_c > ( c > c ) > ( a > a ) > set_Product_prod_a_c > c > c ).
thf(func_def_658,type,
sK103: set_Product_prod_a_c > ( c > c ) > ( a > a ) > set_Product_prod_a_c > c > a ).
thf(func_def_659,type,
sK104: set_Pr1640496404nres_d > ( d > refine449204144nres_d ) > ( b > refine432681134nres_b ) > set_Product_prod_b_d > d > d ).
thf(func_def_660,type,
sK105: set_Pr1640496404nres_d > ( d > refine449204144nres_d ) > ( b > refine432681134nres_b ) > set_Product_prod_b_d > d > b ).
thf(func_def_661,type,
sK106: set_Pr1128439124nres_c > ( d > refine440942639nres_c ) > ( b > refine424419629nres_a ) > set_Product_prod_b_d > d > d ).
thf(func_def_662,type,
sK107: set_Pr1128439124nres_c > ( d > refine440942639nres_c ) > ( b > refine424419629nres_a ) > set_Product_prod_b_d > d > b ).
thf(func_def_663,type,
sK108: set_Pr896671762nres_b > ( a > refine432681134nres_b ) > ( a > refine432681134nres_b ) > set_Product_prod_a_a > a > a ).
thf(func_def_664,type,
sK109: set_Pr896671762nres_b > ( a > refine432681134nres_b ) > ( a > refine432681134nres_b ) > set_Product_prod_a_a > a > a ).
thf(func_def_665,type,
sK110: set_Pr1128439124nres_c > ( c > refine440942639nres_c ) > ( a > refine424419629nres_a ) > set_Product_prod_a_c > c > c ).
thf(func_def_666,type,
sK111: set_Pr1128439124nres_c > ( c > refine440942639nres_c ) > ( a > refine424419629nres_a ) > set_Product_prod_a_c > c > a ).
thf(func_def_667,type,
sK112: set_Pr1640496404nres_d > ( c > refine449204144nres_d ) > ( a > refine432681134nres_b ) > set_Product_prod_a_c > c > c ).
thf(func_def_668,type,
sK113: set_Pr1640496404nres_d > ( c > refine449204144nres_d ) > ( a > refine432681134nres_b ) > set_Product_prod_a_c > c > a ).
thf(func_def_669,type,
sK114: set_Pr94755271_int_o > ( int > int > $o ) > ( int > int > $o ) > set_Pr1858794777nt_int > int > int ).
thf(func_def_670,type,
sK115: set_Pr94755271_int_o > ( int > int > $o ) > ( int > int > $o ) > set_Pr1858794777nt_int > int > int ).
thf(func_def_671,type,
sK116: set_Product_prod_a_c > ( ( $o > $o ) > c ) > ( ( $o > $o ) > a ) > set_Pr934623755_o_o_o > ( $o > $o ) > $o > $o ).
thf(func_def_672,type,
sK117: set_Product_prod_a_c > ( ( $o > $o ) > c ) > ( ( $o > $o ) > a ) > set_Pr934623755_o_o_o > ( $o > $o ) > $o > $o ).
thf(func_def_673,type,
sK118: set_Pr934623755_o_o_o > ( c > $o > $o ) > ( a > $o > $o ) > set_Product_prod_a_c > c > c ).
thf(func_def_674,type,
sK119: set_Pr934623755_o_o_o > ( c > $o > $o ) > ( a > $o > $o ) > set_Product_prod_a_c > c > a ).
thf(func_def_675,type,
sK120: ( nat > $o ) > nat > nat ).
thf(func_def_676,type,
sK121: ( c > $o ) > a > set_Product_prod_a_c > c ).
thf(func_def_677,type,
sK122: ( ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > $o ) > ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > set_Pr2080238504nres_d > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_678,type,
sK123: ( ( c > refine449204144nres_d ) > $o ) > ( a > refine432681134nres_b ) > set_Pr589481214nres_d > c > refine449204144nres_d ).
thf(func_def_679,type,
sK124: ( ( ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ) > $o ) > ( ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ) > set_Pr613277282nres_d > ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_680,type,
sK125: ( ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > $o ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > set_Pr797615136nres_d > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(func_def_681,type,
sK126: ( ( ( nat > $o ) > nat > nat > $o ) > $o ) > ( ( nat > $o ) > nat > nat > $o ) > set_Pr766923865_nat_o > ( nat > $o ) > nat > nat > $o ).
thf(func_def_682,type,
sK127: ( ( int > int > $o ) > $o ) > ( int > int > $o ) > set_Pr1320171143_int_o > int > int > $o ).
thf(func_def_683,type,
sK128: ( ( nat > nat > $o ) > $o ) > ( nat > nat > $o ) > set_Pr1659864199_nat_o > nat > nat > $o ).
thf(func_def_684,type,
sK129: ( ( $o > $o > $o ) > $o ) > ( $o > $o > $o ) > set_Pr618353415_o_o_o > $o > $o > $o ).
thf(func_def_685,type,
sK130: ( ( $o > $o ) > $o ) > ( $o > $o ) > set_Pr934623755_o_o_o > $o > $o ).
thf(f5,axiom,
! [X0: set_Product_prod_a_c,X1: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ X0 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ X0 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X1 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_param__bind) ).
thf(f181,axiom,
( relAPP511982311nres_d
= ( ^ [X0: set_Pr797615136nres_d > set_Pr24800800nres_d] : X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_relAPP__def) ).
thf(f182,axiom,
( relAPP98076839nres_d
= ( ^ [X0: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] : X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_relAPP__def) ).
thf(f183,axiom,
( relAPP1313094511nres_d
= ( ^ [X0: set_Product_prod_b_d > set_Pr1640496404nres_d] : X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_182_relAPP__def) ).
thf(f184,axiom,
( relAPP527276399nres_c
= ( ^ [X0: set_Product_prod_a_c > set_Pr1128439124nres_c] : X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_183_relAPP__def) ).
thf(f185,axiom,
( relAPP1270454529nres_d
= ( ^ [X0: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] : X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_184_relAPP__def) ).
thf(f351,conjecture,
member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f352,negated_conjecture,
~ ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f351]) ).
thf(f361,plain,
! [X0: set_Product_prod_a_c,X1: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ X0 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ X0 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X1 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X1 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f362,plain,
! [X0: set_Product_prod_a_c,X1: set_Product_prod_b_d] :
( ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ X0 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ X0 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X1 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X1 ) ) ) )
= $true ),
inference(fool_elimination,[],[f361]) ).
thf(f633,plain,
( relAPP511982311nres_d
= ( ^ [Y0: set_Pr797615136nres_d > set_Pr24800800nres_d] : Y0 ) ),
inference(fool_elimination,[],[f181]) ).
thf(f634,plain,
( relAPP98076839nres_d
= ( ^ [Y0: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] : Y0 ) ),
inference(fool_elimination,[],[f182]) ).
thf(f635,plain,
( relAPP1313094511nres_d
= ( ^ [Y0: set_Product_prod_b_d > set_Pr1640496404nres_d] : Y0 ) ),
inference(fool_elimination,[],[f183]) ).
thf(f636,plain,
( relAPP527276399nres_c
= ( ^ [Y0: set_Product_prod_a_c > set_Pr1128439124nres_c] : Y0 ) ),
inference(fool_elimination,[],[f184]) ).
thf(f637,plain,
( relAPP1270454529nres_d
= ( ^ [Y0: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] : Y0 ) ),
inference(fool_elimination,[],[f185]) ).
thf(f879,plain,
~ ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) ),
inference(rectify,[],[f352]) ).
thf(f880,plain,
( ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) )
!= $true ),
inference(fool_elimination,[],[f879]) ).
thf(f882,plain,
( ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) )
!= $true ),
inference(flattening,[],[f880]) ).
thf(f1308,plain,
! [X0: set_Product_prod_a_c,X1: set_Product_prod_b_d] :
( ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ X0 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ X0 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X1 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X1 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f362]) ).
thf(f1504,plain,
( relAPP511982311nres_d
= ( ^ [Y0: set_Pr797615136nres_d > set_Pr24800800nres_d] : Y0 ) ),
inference(cnf_transformation,[],[f633]) ).
thf(f1505,plain,
( relAPP98076839nres_d
= ( ^ [Y0: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] : Y0 ) ),
inference(cnf_transformation,[],[f634]) ).
thf(f1506,plain,
( relAPP1313094511nres_d
= ( ^ [Y0: set_Product_prod_b_d > set_Pr1640496404nres_d] : Y0 ) ),
inference(cnf_transformation,[],[f635]) ).
thf(f1507,plain,
( relAPP527276399nres_c
= ( ^ [Y0: set_Product_prod_a_c > set_Pr1128439124nres_c] : Y0 ) ),
inference(cnf_transformation,[],[f636]) ).
thf(f1508,plain,
( relAPP1270454529nres_d
= ( ^ [Y0: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] : Y0 ) ),
inference(cnf_transformation,[],[f637]) ).
thf(f1736,plain,
( ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f882]) ).
thf(f1741,plain,
! [X0: set_Product_prod_a_c,X1: set_Product_prod_b_d] :
( $true
= ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d )
@ ( ^ [Y0: set_Pr797615136nres_d > set_Pr24800800nres_d] : Y0
@ ( relAPP1396672239nres_d @ fun_re439246495nres_d
@ ( ^ [Y0: set_Product_prod_a_c > set_Pr1128439124nres_c] : Y0
@ refine737062560el_a_c
@ X0 ) )
@ ( relAPP813854073nres_d
@ ( ^ [Y0: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] : Y0
@ fun_re1394577105nres_d
@ ( relAPP900772393nres_d
@ ( ^ [Y0: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] : Y0
@ fun_re1760530651nres_d
@ X0 )
@ ( ^ [Y0: set_Product_prod_b_d > set_Pr1640496404nres_d] : Y0
@ refine1564831968el_b_d
@ X1 ) ) )
@ ( ^ [Y0: set_Product_prod_b_d > set_Pr1640496404nres_d] : Y0
@ refine1564831968el_b_d
@ X1 ) ) ) ) ),
inference(definition_unfolding,[],[f1308,f1504,f1507,f1505,f1508,f1506,f1506]) ).
thf(f1820,plain,
( $true
!= ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d )
@ ( ^ [Y0: set_Pr797615136nres_d > set_Pr24800800nres_d] : Y0
@ ( relAPP1396672239nres_d @ fun_re439246495nres_d
@ ( ^ [Y0: set_Product_prod_a_c > set_Pr1128439124nres_c] : Y0
@ refine737062560el_a_c
@ r1 ) )
@ ( relAPP813854073nres_d
@ ( ^ [Y0: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] : Y0
@ fun_re1394577105nres_d
@ ( relAPP900772393nres_d
@ ( ^ [Y0: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] : Y0
@ fun_re1760530651nres_d
@ r1 )
@ ( ^ [Y0: set_Product_prod_b_d > set_Pr1640496404nres_d] : Y0
@ refine1564831968el_b_d
@ r2 ) ) )
@ ( ^ [Y0: set_Product_prod_b_d > set_Pr1640496404nres_d] : Y0
@ refine1564831968el_b_d
@ r2 ) ) ) ) ),
inference(definition_unfolding,[],[f1736,f1504,f1507,f1505,f1508,f1506,f1506]) ).
thf(f1897,plain,
( $true
!= ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( refine737062560el_a_c @ r1 ) @ ( relAPP813854073nres_d @ ( fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( fun_re1760530651nres_d @ r1 ) @ ( refine1564831968el_b_d @ r2 ) ) ) @ ( refine1564831968el_b_d @ r2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1820]) ).
thf(f2268,plain,
! [X0: set_Product_prod_a_c,X1: set_Product_prod_b_d] :
( $true
= ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( refine737062560el_a_c @ X0 ) @ ( relAPP813854073nres_d @ ( fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( fun_re1760530651nres_d @ X0 ) @ ( refine1564831968el_b_d @ X1 ) ) ) @ ( refine1564831968el_b_d @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1741]) ).
thf(f2479,plain,
$true != $true,
inference(constrained_superposition,[],[f1897,f2268]) ).
thf(f2480,plain,
$false,
inference(trivial_inequality_removal,[],[f2479]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP160^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:04:01 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/0.51 % (285137)Will run a generic schedule for satisfiability detection.
% 1.48/0.51 % (285147)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2435005858:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.48/0.51 % (285143)% WARNING: option uhcvi not known.
% 1.48/0.51 % (285142)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1201528205_2999 on theBenchmark for (2999ds/0Mi)
% 1.48/0.51 % (285143)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3497111069:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.48/0.51 % (285144)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2180576849:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.48/0.51 % (285145)dis+10_1_sil=32000:sp=arity:random_seed=3910785234:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.48/0.51 % (285146)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=694184418:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.48/0.51 % (285148)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=541887568:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.48/0.51 % (285147)Instruction limit reached!
% 1.48/0.51 % (285147)------------------------------
% 1.48/0.51 % (285147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (285147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (285147)CaDiCaL version: 2.1.3
% 1.48/0.51 % (285147)Termination reason: Instruction limit
% 1.48/0.51 % (285147)Termination phase: Property scanning
% 1.48/0.51 % (285147)Time elapsed: 0.029 s
% 1.48/0.51 % (285147)Peak memory usage: 12 MB
% 1.48/0.51 % (285147)Instructions burned: 133 (million)
% 1.48/0.51 % (285143)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.48/0.51 % (285146)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.48/0.51 % (285161)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3656722098:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.48/0.51 % (285145)Instruction limit reached!
% 1.48/0.51 % (285145)------------------------------
% 1.48/0.51 % (285145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (285145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (285145)CaDiCaL version: 2.1.3
% 1.48/0.51 % (285145)Termination reason: Instruction limit
% 1.48/0.51 % (285145)Termination phase: Property scanning
% 1.48/0.51 % (285145)Time elapsed: 0.044 s
% 1.48/0.51 % (285145)Peak memory usage: 12 MB
% 1.48/0.51 % (285145)Instructions burned: 107 (million)
% 1.48/0.51 % (285146)Instruction limit reached!
% 1.48/0.51 % (285146)------------------------------
% 1.48/0.51 % (285146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (285146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (285146)CaDiCaL version: 2.1.3
% 1.48/0.51 % (285146)Termination reason: Instruction limit
% 1.48/0.51 % (285146)Termination phase: Property scanning
% 1.48/0.51 % (285146)Time elapsed: 0.048 s
% 1.48/0.51 % (285146)Peak memory usage: 12 MB
% 1.48/0.51 % (285146)Instructions burned: 118 (million)
% 1.48/0.51 % (285172)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=81502241:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.48/0.51 % Exception at run slice level
% 1.48/0.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.48/0.51 % (285148)Instruction limit reached!
% 1.48/0.51 % (285148)------------------------------
% 1.48/0.51 % (285148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (285148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (285148)CaDiCaL version: 2.1.3
% 1.48/0.51 % (285148)Termination reason: Instruction limit
% 1.48/0.51 % (285148)Termination phase: Saturation
% 1.48/0.51 % (285148)Time elapsed: 0.066 s
% 1.48/0.51 % (285148)Peak memory usage: 12 MB
% 1.48/0.51 % (285148)Instructions burned: 160 (million)
% 1.48/0.51 % Exception at run slice level
% 1.48/0.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.48/0.51 % (285175)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=848089233:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.48/0.51 % (285143)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.48/0.51 % (285191)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2079514173:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.48/0.51 % (285188)ott-21_1_sil=16000:fs=off:random_seed=185369944:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.48/0.51 % (285189)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=721011271:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.48/0.51 % (285175)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.48/0.51 % Exception at run slice level
% 1.48/0.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.48/0.51 % (285172)Instruction limit reached!
% 1.48/0.51 % (285172)------------------------------
% 1.48/0.51 % (285172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (285172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (285172)CaDiCaL version: 2.1.3
% 1.48/0.51 % (285172)Termination reason: Instruction limit
% 1.48/0.51 % (285172)Termination phase: Property scanning
% 1.48/0.51 % (285172)Time elapsed: 0.056 s
% 1.48/0.51 % (285172)Peak memory usage: 12 MB
% 1.48/0.51 % (285172)Instructions burned: 133 (million)
% 1.48/0.51 % (285215)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=900096720:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.48/0.51 % (285216)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1860121516:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.48/0.51 % (285175)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.48/0.51 % (285188)Instruction limit reached!
% 1.48/0.51 % (285188)------------------------------
% 1.48/0.51 % (285188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (285188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (285188)CaDiCaL version: 2.1.3
% 1.48/0.51 % (285188)Termination reason: Instruction limit
% 1.48/0.51 % (285188)Termination phase: Saturation
% 1.48/0.51 % (285188)Time elapsed: 0.075 s
% 1.48/0.51 % (285188)Peak memory usage: 13 MB
% 1.48/0.51 % (285188)Instructions burned: 181 (million)
% 1.48/0.51 % (285219)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=373889110:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 1.48/0.51 % Exception at run slice level
% 1.48/0.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.48/0.51 % (285175) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-285137-285175"...
% 1.48/0.51 % (285219)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.48/0.51 % (285175)...printing done.
% 1.48/0.51 % (285175)Refutation found. Thanks to Tanya!
% 1.48/0.51 % SZS status Theorem for theBenchmark
% 1.48/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.52 % (285175)------------------------------
% 1.48/0.52 % (285175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.52 % (285175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.52 % (285175)CaDiCaL version: 2.1.3
% 1.48/0.52 % (285175)Termination reason: Refutation
% 1.48/0.52 % (285175)Time elapsed: 0.150 s
% 1.48/0.52 % (285175)Peak memory usage: 15 MB
% 1.48/0.52 % (285175)Instructions burned: 323 (million)
% 1.48/0.52 % (285137)Success in time 0.285 s
% 1.48/0.52 % Vampire exiting
%------------------------------------------------------------------------------