%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP160^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 22:34:09 EDT 2024

% Result   : Theorem 0.21s 0.49s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  941
% Syntax   : Number of formulae    :  969 (  35 unt; 934 typ;   0 def)
%            Number of atoms       :   53 (  29 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  303 (   7   ~;   0   |;   0   &; 296   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Number of types       :  188 ( 187 usr)
%            Number of type conns  : 2063 (2063   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  563 ( 560 usr;  25 con; 0-5 aty)
%            Number of variables   :   45 (  32   ^  12   !;   0   ?;  45   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_6,type,
    c: $tType ).

thf(type_def_7,type,
    autoref_annot: $tType ).

thf(type_def_8,type,
    int: $tType ).

thf(type_def_9,type,
    a: $tType ).

thf(type_def_10,type,
    refine432681134nres_b: $tType ).

thf(type_def_11,type,
    refine440942639nres_c: $tType ).

thf(type_def_12,type,
    refine449204144nres_d: $tType ).

thf(type_def_13,type,
    d: $tType ).

thf(type_def_14,type,
    refine424419629nres_a: $tType ).

thf(type_def_15,type,
    b: $tType ).

thf(type_def_16,type,
    set_Pr37069423_o_c_c: $tType ).

thf(type_def_17,type,
    set_Pr1351316363_int_o: $tType ).

thf(type_def_18,type,
    set_Pr1524520971nt_o_o: $tType ).

thf(type_def_19,type,
    set_Pr1774281699_o_o_o: $tType ).

thf(type_def_20,type,
    set_Pr1250642728nres_c: $tType ).

thf(type_def_21,type,
    set_Pr1358127528nres_b: $tType ).

thf(type_def_22,type,
    set_Pr2080238504nres_d: $tType ).

thf(type_def_23,type,
    set_Pr807116335_c_c_c: $tType ).

thf(type_def_24,type,
    set_Pr584391464nres_c: $tType ).

thf(type_def_25,type,
    set_Pr1413987240nres_d: $tType ).

thf(type_def_26,type,
    nat: $tType ).

thf(type_def_27,type,
    produc1039600167_o_o_o: $tType ).

thf(type_def_28,type,
    produc1839156403_o_o_o: $tType ).

thf(type_def_29,type,
    produc1174115751_nat_o: $tType ).

thf(type_def_30,type,
    produc2056997417_o_o_c: $tType ).

thf(type_def_31,type,
    produc416848975_nat_o: $tType ).

thf(type_def_32,type,
    produc1314004473_nat_o: $tType ).

thf(type_def_33,type,
    produc809931564nres_d: $tType ).

thf(type_def_34,type,
    produc1757587562nres_d: $tType ).

thf(type_def_35,type,
    produc46704423_o_o_o: $tType ).

thf(type_def_36,type,
    product_prod_o_o_o_o: $tType ).

thf(type_def_37,type,
    produc922271079_o_int: $tType ).

thf(type_def_38,type,
    produc1991839847_o_nat: $tType ).

thf(type_def_39,type,
    product_prod_o_a_o_c: $tType ).

thf(type_def_40,type,
    produc1616993579_int_o: $tType ).

thf(type_def_41,type,
    produc496448427nt_o_o: $tType ).

thf(type_def_42,type,
    produc426758977nt_o_o: $tType ).

thf(type_def_43,type,
    produc480790439_int_o: $tType ).

thf(type_def_44,type,
    produc1620501479_int_o: $tType ).

thf(type_def_45,type,
    produc719214799nt_int: $tType ).

thf(type_def_46,type,
    produc1389674519nt_nat: $tType ).

thf(type_def_47,type,
    produc1769036905_int_c: $tType ).

thf(type_def_48,type,
    produc482595465at_o_o: $tType ).

thf(type_def_49,type,
    produc724473255_nat_o: $tType ).

thf(type_def_50,type,
    produc878596327_nat_o: $tType ).

thf(type_def_51,type,
    produc610583575at_int: $tType ).

thf(type_def_52,type,
    produc1281043295at_nat: $tType ).

thf(type_def_53,type,
    produc1144174441_nat_c: $tType ).

thf(type_def_54,type,
    refine1696877731nres_b: $tType ).

thf(type_def_55,type,
    refine116648739nres_d: $tType ).

thf(type_def_56,type,
    produc1834705330nres_d: $tType ).

thf(type_def_57,type,
    produc819780758nres_d: $tType ).

thf(type_def_58,type,
    produc1581500522nres_c: $tType ).

thf(type_def_59,type,
    produc1530265066nres_b: $tType ).

thf(type_def_60,type,
    produc1298363114nres_a: $tType ).

thf(type_def_61,type,
    produc2043357418nres_d: $tType ).

thf(type_def_62,type,
    produc1811455466nres_c: $tType ).

thf(type_def_63,type,
    produc1545802474nres_c: $tType ).

thf(type_def_64,type,
    produc2007659370nres_d: $tType ).

thf(type_def_65,type,
    produc1869490410nres_b: $tType ).

thf(type_def_66,type,
    produc235099114nres_d: $tType ).

thf(type_def_67,type,
    produc1914459634nres_c: $tType ).

thf(type_def_68,type,
    produc96971890nres_b: $tType ).

thf(type_def_69,type,
    produc1677145714nres_d: $tType ).

thf(type_def_70,type,
    produc1838469673_c_o_o: $tType ).

thf(type_def_71,type,
    produc699795910nres_a: $tType ).

thf(type_def_72,type,
    produc1267050566nres_c: $tType ).

thf(type_def_73,type,
    produc1536607048nres_b: $tType ).

thf(type_def_74,type,
    produc2103861704nres_d: $tType ).

thf(type_def_75,type,
    product_prod_a_a_c_c: $tType ).

thf(type_def_76,type,
    produc1716397554nres_c: $tType ).

thf(type_def_77,type,
    produc1479083634nres_d: $tType ).

thf(type_def_78,type,
    produc1106446854nres_c: $tType ).

thf(type_def_79,type,
    produc1376003336nres_b: $tType ).

thf(type_def_80,type,
    produc1943257992nres_d: $tType ).

thf(type_def_81,type,
    produc1484956106nres_a: $tType ).

thf(type_def_82,type,
    produc2052210762nres_c: $tType ).

thf(type_def_83,type,
    produc13679884nres_b: $tType ).

thf(type_def_84,type,
    product_prod_o_o: $tType ).

thf(type_def_85,type,
    product_prod_int_int: $tType ).

thf(type_def_86,type,
    product_prod_nat_nat: $tType ).

thf(type_def_87,type,
    produc1609974940nres_a: $tType ).

thf(type_def_88,type,
    produc1741619870nres_c: $tType ).

thf(type_def_89,type,
    produc1587512412nres_b: $tType ).

thf(type_def_90,type,
    produc1719157342nres_d: $tType ).

thf(type_def_91,type,
    produc1433404954nres_a: $tType ).

thf(type_def_92,type,
    produc1565049884nres_c: $tType ).

thf(type_def_93,type,
    produc1410942426nres_b: $tType ).

thf(type_def_94,type,
    product_prod_a_a: $tType ).

thf(type_def_95,type,
    product_prod_a_c: $tType ).

thf(type_def_96,type,
    product_prod_b_d: $tType ).

thf(type_def_97,type,
    set_Pr766923865_nat_o: $tType ).

thf(type_def_98,type,
    set_Pr613277282nres_d: $tType ).

thf(type_def_99,type,
    set_Pr797615136nres_d: $tType ).

thf(type_def_100,type,
    set_Pr618353415_o_o_o: $tType ).

thf(type_def_101,type,
    set_Pr934623755_o_o_o: $tType ).

thf(type_def_102,type,
    set_Pr1320171143_int_o: $tType ).

thf(type_def_103,type,
    set_Pr1659864199_nat_o: $tType ).

thf(type_def_104,type,
    set_Pr589481214nres_d: $tType ).

thf(type_def_105,type,
    set_Product_prod_a_c: $tType ).

thf(type_def_106,type,
    set_Pr1537816964nres_d: $tType ).

thf(type_def_107,type,
    set_Product_prod_a_a: $tType ).

thf(type_def_108,type,
    set_Pr384614482nres_a: $tType ).

thf(type_def_109,type,
    set_Product_prod_a_b: $tType ).

thf(type_def_110,type,
    set_Pr1830268627nres_b: $tType ).

thf(type_def_111,type,
    set_Pr1128439124nres_c: $tType ).

thf(type_def_112,type,
    set_Product_prod_a_d: $tType ).

thf(type_def_113,type,
    set_Pr426609621nres_d: $tType ).

thf(type_def_114,type,
    set_Product_prod_b_a: $tType ).

thf(type_def_115,type,
    set_Pr1598501265nres_a: $tType ).

thf(type_def_116,type,
    set_Product_prod_b_b: $tType ).

thf(type_def_117,type,
    set_Pr896671762nres_b: $tType ).

thf(type_def_118,type,
    set_Product_prod_b_c: $tType ).

thf(type_def_119,type,
    set_Pr194842259nres_c: $tType ).

thf(type_def_120,type,
    set_Product_prod_b_d: $tType ).

thf(type_def_121,type,
    set_Pr1640496404nres_d: $tType ).

thf(type_def_122,type,
    set_Product_prod_c_a: $tType ).

thf(type_def_123,type,
    set_Pr664904400nres_a: $tType ).

thf(type_def_124,type,
    set_Product_prod_c_c: $tType ).

thf(type_def_125,type,
    set_Pr1408729042nres_c: $tType ).

thf(type_def_126,type,
    set_Product_prod_d_b: $tType ).

thf(type_def_127,type,
    set_Pr1176961680nres_b: $tType ).

thf(type_def_128,type,
    set_Product_prod_d_d: $tType ).

thf(type_def_129,type,
    set_Pr1920786322nres_d: $tType ).

thf(type_def_130,type,
    set_Product_prod_o_o: $tType ).

thf(type_def_131,type,
    set_Pr1437791047_o_int: $tType ).

thf(type_def_132,type,
    set_Pr343524935_o_nat: $tType ).

thf(type_def_133,type,
    set_Pr1006121889nt_o_o: $tType ).

thf(type_def_134,type,
    set_Pr94755271_int_o: $tType ).

thf(type_def_135,type,
    set_Pr2110946351nt_int: $tType ).

thf(type_def_136,type,
    set_Pr1719254903nt_nat: $tType ).

thf(type_def_137,type,
    set_Pr310822599_nat_o: $tType ).

thf(type_def_138,type,
    set_Pr1749533559at_int: $tType ).

thf(type_def_139,type,
    set_Pr1357842111at_nat: $tType ).

thf(type_def_140,type,
    set_Pr1815766654nres_b: $tType ).

thf(type_def_141,type,
    set_Pr1858794777nt_int: $tType ).

thf(type_def_142,type,
    set_Pr1986765409at_nat: $tType ).

thf(type_def_143,type,
    set_Pr1955643401_o_o_c: $tType ).

thf(type_def_144,type,
    set_Pr46530663_o_c_c: $tType ).

thf(type_def_145,type,
    set_Pr1602564423_nat_o: $tType ).

thf(type_def_146,type,
    set_Pr1824526846nres_d: $tType ).

thf(type_def_147,type,
    set_Pr68707591_o_o_o: $tType ).

thf(type_def_148,type,
    set_Pr2088790547_o_o_o: $tType ).

thf(type_def_149,type,
    set_Pr524661639_nat_o: $tType ).

thf(type_def_150,type,
    set_Pr1435428853_int_o: $tType ).

thf(type_def_151,type,
    set_Pr1495585653nt_o_o: $tType ).

thf(type_def_152,type,
    set_Pr1125433775_nat_o: $tType ).

thf(type_def_153,type,
    set_Pr24800800nres_d: $tType ).

thf(type_def_154,type,
    set_Pr1712866168nres_d: $tType ).

thf(type_def_155,type,
    set_Pr1933985801_c_o_o: $tType ).

thf(type_def_156,type,
    set_Pr1371175689_o_o_o: $tType ).

thf(type_def_157,type,
    set_Pr134917244nres_c: $tType ).

thf(type_def_158,type,
    set_Pr404050976nres_c: $tType ).

thf(type_def_159,type,
    set_Pr1052763806nres_b: $tType ).

thf(type_def_160,type,
    set_Pr1635457468nres_a: $tType ).

thf(type_def_161,type,
    set_Pr436741343nres_a: $tType ).

thf(type_def_162,type,
    set_Pr409172028nres_c: $tType ).

thf(type_def_163,type,
    set_Pr181592673nres_c: $tType ).

thf(type_def_164,type,
    set_Pr1234209675_a_c_c: $tType ).

thf(type_def_165,type,
    set_Pr1673989513_c_c_c: $tType ).

thf(type_def_166,type,
    set_Pr979578428nres_c: $tType ).

thf(type_def_167,type,
    set_Pr57594146nres_c: $tType ).

thf(type_def_168,type,
    set_Pr1434142398nres_d: $tType ).

thf(type_def_169,type,
    set_Pr451158306nres_d: $tType ).

thf(type_def_170,type,
    set_Pr1345535106nres_b: $tType ).

thf(type_def_171,type,
    set_Pr1402127136nres_b: $tType ).

thf(type_def_172,type,
    set_Pr119249666nres_d: $tType ).

thf(type_def_173,type,
    set_Pr1146978466nres_d: $tType ).

thf(type_def_174,type,
    set_Pr709440729_a_o_c: $tType ).

thf(type_def_175,type,
    set_Pr1575377993_int_c: $tType ).

thf(type_def_176,type,
    set_Pr2058424041at_o_o: $tType ).

thf(type_def_177,type,
    set_Pr933902153_nat_c: $tType ).

thf(type_def_178,type,
    set_Pr1710101992nres_d: $tType ).

thf(type_def_179,type,
    set_Pr818594592nres_b: $tType ).

thf(type_def_180,type,
    set_Pr2039330848nres_a: $tType ).

thf(type_def_181,type,
    set_Pr1614046668nres_d: $tType ).

thf(type_def_182,type,
    set_Pr882593184nres_c: $tType ).

thf(type_def_183,type,
    set_Pr1245537056nres_c: $tType ).

thf(type_def_184,type,
    set_Pr1652381728nres_c: $tType ).

thf(type_def_185,type,
    set_Pr794589344nres_d: $tType ).

thf(type_def_186,type,
    set_Pr1436380704nres_b: $tType ).

thf(type_def_187,type,
    set_Pr642586912nres_d: $tType ).

thf(type_def_188,type,
    set_Pr1361202684nres_a: $tType ).

thf(type_def_189,type,
    set_Pr512944190nres_b: $tType ).

thf(type_def_190,type,
    set_Pr890971136nres_a: $tType ).

thf(type_def_191,type,
    set_Pr1812169344nres_c: $tType ).

thf(type_def_192,type,
    set_Pr42712642nres_b: $tType ).

thf(func_def_0,type,
    set_Pr1614046668nres_d: $tType ).

thf(func_def_1,type,
    produc819780758nres_d: $tType ).

thf(func_def_2,type,
    set_Pr1712866168nres_d: $tType ).

thf(func_def_3,type,
    set_Pr1710101992nres_d: $tType ).

thf(func_def_4,type,
    produc1834705330nres_d: $tType ).

thf(func_def_5,type,
    set_Pr613277282nres_d: $tType ).

thf(func_def_6,type,
    produc809931564nres_d: $tType ).

thf(func_def_7,type,
    set_Pr642586912nres_d: $tType ).

thf(func_def_8,type,
    set_Pr1436380704nres_b: $tType ).

thf(func_def_9,type,
    set_Pr794589344nres_d: $tType ).

thf(func_def_10,type,
    set_Pr1652381728nres_c: $tType ).

thf(func_def_11,type,
    set_Pr1245537056nres_c: $tType ).

thf(func_def_12,type,
    set_Pr24800800nres_d: $tType ).

thf(func_def_13,type,
    set_Pr2039330848nres_a: $tType ).

thf(func_def_14,type,
    set_Pr818594592nres_b: $tType ).

thf(func_def_15,type,
    set_Pr882593184nres_c: $tType ).

thf(func_def_16,type,
    set_Pr1824526846nres_d: $tType ).

thf(func_def_17,type,
    produc235099114nres_d: $tType ).

thf(func_def_18,type,
    produc1869490410nres_b: $tType ).

thf(func_def_19,type,
    produc2007659370nres_d: $tType ).

thf(func_def_20,type,
    produc1545802474nres_c: $tType ).

thf(func_def_21,type,
    produc1811455466nres_c: $tType ).

thf(func_def_22,type,
    produc2043357418nres_d: $tType ).

thf(func_def_23,type,
    produc1298363114nres_a: $tType ).

thf(func_def_24,type,
    produc1530265066nres_b: $tType ).

thf(func_def_25,type,
    produc1581500522nres_c: $tType ).

thf(func_def_26,type,
    set_Pr1125433775_nat_o: $tType ).

thf(func_def_27,type,
    produc416848975_nat_o: $tType ).

thf(func_def_28,type,
    set_Pr1413987240nres_d: $tType ).

thf(func_def_29,type,
    set_Pr584391464nres_c: $tType ).

thf(func_def_30,type,
    set_Pr2080238504nres_d: $tType ).

thf(func_def_31,type,
    set_Pr1358127528nres_b: $tType ).

thf(func_def_32,type,
    set_Pr1250642728nres_c: $tType ).

thf(func_def_33,type,
    produc1479083634nres_d: $tType ).

thf(func_def_34,type,
    produc1716397554nres_c: $tType ).

thf(func_def_35,type,
    produc1677145714nres_d: $tType ).

thf(func_def_36,type,
    produc96971890nres_b: $tType ).

thf(func_def_37,type,
    produc1914459634nres_c: $tType ).

thf(func_def_38,type,
    set_Pr1146978466nres_d: $tType ).

thf(func_def_39,type,
    set_Pr1402127136nres_b: $tType ).

thf(func_def_40,type,
    set_Pr451158306nres_d: $tType ).

thf(func_def_41,type,
    set_Pr57594146nres_c: $tType ).

thf(func_def_42,type,
    set_Pr181592673nres_c: $tType ).

thf(func_def_43,type,
    set_Pr797615136nres_d: $tType ).

thf(func_def_44,type,
    set_Pr436741343nres_a: $tType ).

thf(func_def_45,type,
    set_Pr1052763806nres_b: $tType ).

thf(func_def_46,type,
    set_Pr404050976nres_c: $tType ).

thf(func_def_47,type,
    set_Pr1602564423_nat_o: $tType ).

thf(func_def_48,type,
    produc1757587562nres_d: $tType ).

thf(func_def_49,type,
    set_Pr1537816964nres_d: $tType ).

thf(func_def_50,type,
    set_Pr1351316363_int_o: $tType ).

thf(func_def_51,type,
    produc1616993579_int_o: $tType ).

thf(func_def_52,type,
    set_Pr766923865_nat_o: $tType ).

thf(func_def_53,type,
    set_Pr1435428853_int_o: $tType ).

thf(func_def_54,type,
    set_Pr42712642nres_b: $tType ).

thf(func_def_55,type,
    set_Pr119249666nres_d: $tType ).

thf(func_def_56,type,
    set_Pr1345535106nres_b: $tType ).

thf(func_def_57,type,
    set_Pr1812169344nres_c: $tType ).

thf(func_def_58,type,
    set_Pr890971136nres_a: $tType ).

thf(func_def_59,type,
    set_Pr1434142398nres_d: $tType ).

thf(func_def_60,type,
    set_Pr512944190nres_b: $tType ).

thf(func_def_61,type,
    set_Pr979578428nres_c: $tType ).

thf(func_def_62,type,
    set_Pr409172028nres_c: $tType ).

thf(func_def_63,type,
    set_Pr589481214nres_d: $tType ).

thf(func_def_64,type,
    set_Pr1635457468nres_a: $tType ).

thf(func_def_65,type,
    set_Pr1815766654nres_b: $tType ).

thf(func_def_66,type,
    set_Pr134917244nres_c: $tType ).

thf(func_def_67,type,
    set_Pr1361202684nres_a: $tType ).

thf(func_def_68,type,
    produc1314004473_nat_o: $tType ).

thf(func_def_69,type,
    set_Pr524661639_nat_o: $tType ).

thf(func_def_70,type,
    set_Pr1774281699_o_o_o: $tType ).

thf(func_def_71,type,
    set_Pr37069423_o_c_c: $tType ).

thf(func_def_72,type,
    produc13679884nres_b: $tType ).

thf(func_def_73,type,
    produc2052210762nres_c: $tType ).

thf(func_def_74,type,
    produc1484956106nres_a: $tType ).

thf(func_def_75,type,
    produc1943257992nres_d: $tType ).

thf(func_def_76,type,
    produc1376003336nres_b: $tType ).

thf(func_def_77,type,
    produc1106446854nres_c: $tType ).

thf(func_def_78,type,
    produc2103861704nres_d: $tType ).

thf(func_def_79,type,
    produc1536607048nres_b: $tType ).

thf(func_def_80,type,
    produc1267050566nres_c: $tType ).

thf(func_def_81,type,
    produc699795910nres_a: $tType ).

thf(func_def_82,type,
    produc1174115751_nat_o: $tType ).

thf(func_def_83,type,
    set_Pr1920786322nres_d: $tType ).

thf(func_def_84,type,
    set_Pr1176961680nres_b: $tType ).

thf(func_def_85,type,
    set_Pr1408729042nres_c: $tType ).

thf(func_def_86,type,
    set_Pr664904400nres_a: $tType ).

thf(func_def_87,type,
    set_Pr1640496404nres_d: $tType ).

thf(func_def_88,type,
    set_Pr194842259nres_c: $tType ).

thf(func_def_89,type,
    set_Pr896671762nres_b: $tType ).

thf(func_def_90,type,
    set_Pr1598501265nres_a: $tType ).

thf(func_def_91,type,
    set_Pr426609621nres_d: $tType ).

thf(func_def_92,type,
    set_Pr1128439124nres_c: $tType ).

thf(func_def_93,type,
    set_Pr1830268627nres_b: $tType ).

thf(func_def_94,type,
    set_Pr384614482nres_a: $tType ).

thf(func_def_95,type,
    set_Pr1524520971nt_o_o: $tType ).

thf(func_def_96,type,
    set_Pr1371175689_o_o_o: $tType ).

thf(func_def_97,type,
    set_Pr68707591_o_o_o: $tType ).

thf(func_def_98,type,
    produc1410942426nres_b: $tType ).

thf(func_def_99,type,
    produc1565049884nres_c: $tType ).

thf(func_def_100,type,
    produc1433404954nres_a: $tType ).

thf(func_def_101,type,
    produc1719157342nres_d: $tType ).

thf(func_def_102,type,
    produc1587512412nres_b: $tType ).

thf(func_def_103,type,
    produc1741619870nres_c: $tType ).

thf(func_def_104,type,
    produc1609974940nres_a: $tType ).

thf(func_def_105,type,
    produc496448427nt_o_o: $tType ).

thf(func_def_106,type,
    set_Pr807116335_c_c_c: $tType ).

thf(func_def_107,type,
    set_Pr1659864199_nat_o: $tType ).

thf(func_def_108,type,
    set_Pr1320171143_int_o: $tType ).

thf(func_def_109,type,
    produc1039600167_o_o_o: $tType ).

thf(func_def_110,type,
    set_Pr46530663_o_c_c: $tType ).

thf(func_def_111,type,
    refine116648739nres_d: $tType ).

thf(func_def_112,type,
    refine1696877731nres_b: $tType ).

thf(func_def_113,type,
    set_Pr2088790547_o_o_o: $tType ).

thf(func_def_114,type,
    produc724473255_nat_o: $tType ).

thf(func_def_115,type,
    produc480790439_int_o: $tType ).

thf(func_def_116,type,
    set_Pr2058424041at_o_o: $tType ).

thf(func_def_117,type,
    set_Pr1006121889nt_o_o: $tType ).

thf(func_def_118,type,
    set_Pr1495585653nt_o_o: $tType ).

thf(func_def_119,type,
    set_Pr1673989513_c_c_c: $tType ).

thf(func_def_120,type,
    set_Pr1357842111at_nat: $tType ).

thf(func_def_121,type,
    set_Pr1749533559at_int: $tType ).

thf(func_def_122,type,
    set_Pr1719254903nt_nat: $tType ).

thf(func_def_123,type,
    set_Pr2110946351nt_int: $tType ).

thf(func_def_124,type,
    produc1839156403_o_o_o: $tType ).

thf(func_def_125,type,
    set_Pr1933985801_c_o_o: $tType ).

thf(func_def_126,type,
    set_Pr1955643401_o_o_c: $tType ).

thf(func_def_127,type,
    produc482595465at_o_o: $tType ).

thf(func_def_128,type,
    produc426758977nt_o_o: $tType ).

thf(func_def_129,type,
    set_Pr618353415_o_o_o: $tType ).

thf(func_def_130,type,
    set_Pr933902153_nat_c: $tType ).

thf(func_def_131,type,
    set_Pr1575377993_int_c: $tType ).

thf(func_def_132,type,
    produc1281043295at_nat: $tType ).

thf(func_def_133,type,
    produc610583575at_int: $tType ).

thf(func_def_134,type,
    produc1389674519nt_nat: $tType ).

thf(func_def_135,type,
    produc719214799nt_int: $tType ).

thf(func_def_136,type,
    set_Pr310822599_nat_o: $tType ).

thf(func_def_137,type,
    set_Pr94755271_int_o: $tType ).

thf(func_def_138,type,
    set_Pr343524935_o_nat: $tType ).

thf(func_def_139,type,
    set_Pr1437791047_o_int: $tType ).

thf(func_def_140,type,
    produc1838469673_c_o_o: $tType ).

thf(func_def_141,type,
    produc2056997417_o_o_c: $tType ).

thf(func_def_142,type,
    produc46704423_o_o_o: $tType ).

thf(func_def_143,type,
    set_Pr1234209675_a_c_c: $tType ).

thf(func_def_144,type,
    produc1144174441_nat_c: $tType ).

thf(func_def_145,type,
    produc1769036905_int_c: $tType ).

thf(func_def_146,type,
    set_Pr709440729_a_o_c: $tType ).

thf(func_def_147,type,
    produc878596327_nat_o: $tType ).

thf(func_def_148,type,
    produc1620501479_int_o: $tType ).

thf(func_def_149,type,
    produc1991839847_o_nat: $tType ).

thf(func_def_150,type,
    produc922271079_o_int: $tType ).

thf(func_def_151,type,
    set_Pr934623755_o_o_o: $tType ).

thf(func_def_152,type,
    set_Pr1986765409at_nat: $tType ).

thf(func_def_153,type,
    set_Pr1858794777nt_int: $tType ).

thf(func_def_154,type,
    product_prod_a_a_c_c: $tType ).

thf(func_def_155,type,
    product_prod_o_a_o_c: $tType ).

thf(func_def_156,type,
    product_prod_o_o_o_o: $tType ).

thf(func_def_157,type,
    refine449204144nres_d: $tType ).

thf(func_def_158,type,
    refine440942639nres_c: $tType ).

thf(func_def_159,type,
    refine432681134nres_b: $tType ).

thf(func_def_160,type,
    refine424419629nres_a: $tType ).

thf(func_def_161,type,
    set_Product_prod_d_d: $tType ).

thf(func_def_162,type,
    set_Product_prod_d_b: $tType ).

thf(func_def_163,type,
    set_Product_prod_c_c: $tType ).

thf(func_def_164,type,
    set_Product_prod_c_a: $tType ).

thf(func_def_165,type,
    set_Product_prod_b_d: $tType ).

thf(func_def_166,type,
    set_Product_prod_b_c: $tType ).

thf(func_def_167,type,
    set_Product_prod_b_b: $tType ).

thf(func_def_168,type,
    set_Product_prod_b_a: $tType ).

thf(func_def_169,type,
    set_Product_prod_a_d: $tType ).

thf(func_def_170,type,
    set_Product_prod_a_c: $tType ).

thf(func_def_171,type,
    set_Product_prod_a_b: $tType ).

thf(func_def_172,type,
    set_Product_prod_a_a: $tType ).

thf(func_def_173,type,
    product_prod_nat_nat: $tType ).

thf(func_def_174,type,
    product_prod_int_int: $tType ).

thf(func_def_175,type,
    set_Product_prod_o_o: $tType ).

thf(func_def_176,type,
    product_prod_b_d: $tType ).

thf(func_def_177,type,
    product_prod_a_c: $tType ).

thf(func_def_178,type,
    product_prod_a_a: $tType ).

thf(func_def_179,type,
    product_prod_o_o: $tType ).

thf(func_def_180,type,
    autoref_annot: $tType ).

thf(func_def_181,type,
    nat: $tType ).

thf(func_def_182,type,
    int: $tType ).

thf(func_def_183,type,
    d: $tType ).

thf(func_def_184,type,
    c: $tType ).

thf(func_def_185,type,
    b: $tType ).

thf(func_def_186,type,
    a: $tType ).

thf(func_def_187,type,
    autore867490625_o_c_c: ( ( $o > $o ) > ( ( $o > $o ) > c ) > c ) > autoref_annot > ( $o > $o ) > ( ( $o > $o ) > c ) > c ).

thf(func_def_188,type,
    autore1880283407_int_o: ( int > ( int > int > $o ) > int > $o ) > autoref_annot > int > ( int > int > $o ) > int > $o ).

thf(func_def_189,type,
    autore1153274959nt_o_o: ( int > ( int > $o ) > $o ) > autoref_annot > int > ( int > $o ) > $o ).

thf(func_def_190,type,
    autore1290907938nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > autoref_annot > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).

thf(func_def_191,type,
    autore1757597947_o_o_o: ( c > ( c > $o > $o ) > $o > $o ) > autoref_annot > c > ( c > $o > $o ) > $o > $o ).

thf(func_def_192,type,
    autore956520418nres_c: ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > autoref_annot > c > ( c > refine440942639nres_c ) > refine440942639nres_c ).

thf(func_def_193,type,
    autore241567778nres_d: ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > autoref_annot > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).

thf(func_def_194,type,
    autore1422848225_c_c_c: ( c > ( c > c ) > c ) > autoref_annot > c > ( c > c ) > c ).

thf(func_def_195,type,
    autore73061154nres_c: ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > autoref_annot > d > ( d > refine440942639nres_c ) > refine440942639nres_c ).

thf(func_def_196,type,
    autore1505592162nres_d: ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > autoref_annot > d > ( d > refine449204144nres_d ) > refine449204144nres_d ).

thf(func_def_197,type,
    autoref_APP_o_o_c_c: ( ( ( $o > $o ) > c ) > c ) > ( ( $o > $o ) > c ) > c ).

thf(func_def_198,type,
    autore1733926270_o_c_c: ( ( $o > $o ) > ( ( $o > $o ) > c ) > c ) > ( $o > $o ) > ( ( $o > $o ) > c ) > c ).

thf(func_def_199,type,
    autoref_APP_o_o_a: ( ( $o > $o ) > a ) > ( $o > $o ) > a ).

thf(func_def_200,type,
    autoref_APP_o_o_c: ( ( $o > $o ) > c ) > ( $o > $o ) > c ).

thf(func_def_201,type,
    autore1156652217_int_o: ( ( int > int > $o ) > int > $o ) > ( int > int > $o ) > int > $o ).

thf(func_def_202,type,
    autoref_APP_int_o_o: ( ( int > $o ) > $o ) > ( int > $o ) > $o ).

thf(func_def_203,type,
    autore956252284nres_b: ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( a > refine432681134nres_b ) > refine432681134nres_b ).

thf(func_def_204,type,
    autore821920247_o_o_o: ( ( c > $o > $o ) > $o > $o ) > ( c > $o > $o ) > $o > $o ).

thf(func_def_205,type,
    autore2084714426nres_c: ( ( c > refine440942639nres_c ) > refine440942639nres_c ) > ( c > refine440942639nres_c ) > refine440942639nres_c ).

thf(func_def_206,type,
    autore1159379066nres_d: ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( c > refine449204144nres_d ) > refine449204144nres_d ).

thf(func_def_207,type,
    autoref_APP_c_c_c: ( ( c > c ) > c ) > ( c > c ) > c ).

thf(func_def_208,type,
    autore964129529nres_c: ( ( d > refine440942639nres_c ) > refine440942639nres_c ) > ( d > refine440942639nres_c ) > refine440942639nres_c ).

thf(func_def_209,type,
    autore38794169nres_d: ( ( d > refine449204144nres_d ) > refine449204144nres_d ) > ( d > refine449204144nres_d ) > refine449204144nres_d ).

thf(func_def_210,type,
    autoref_APP_o_o: ( $o > $o ) > $o > $o ).

thf(func_def_211,type,
    autore1101499084_int_o: ( int > ( int > int > $o ) > int > $o ) > int > ( int > int > $o ) > int > $o ).

thf(func_def_212,type,
    autore112221708nt_o_o: ( int > ( int > $o ) > $o ) > int > ( int > $o ) > $o ).

thf(func_def_213,type,
    autore1551339569_int_o: ( int > int > $o ) > int > int > $o ).

thf(func_def_214,type,
    autoref_APP_int_o: ( int > $o ) > int > $o ).

thf(func_def_215,type,
    autore781669463nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).

thf(func_def_216,type,
    autoref_APP_a_o_o: ( a > $o > $o ) > a > $o > $o ).

thf(func_def_217,type,
    autore1382402919nres_a: ( a > refine424419629nres_a ) > a > refine424419629nres_a ).

thf(func_def_218,type,
    autore1390664424nres_b: ( a > refine432681134nres_b ) > a > refine432681134nres_b ).

thf(func_def_219,type,
    autoref_APP_a_a: ( a > a ) > a > a ).

thf(func_def_220,type,
    autore1669652584nres_a: ( b > refine424419629nres_a ) > b > refine424419629nres_a ).

thf(func_def_221,type,
    autore1677914089nres_b: ( b > refine432681134nres_b ) > b > refine432681134nres_b ).

thf(func_def_222,type,
    autore1554881264_o_o_o: ( c > ( c > $o > $o ) > $o > $o ) > c > ( c > $o > $o ) > $o > $o ).

thf(func_def_223,type,
    autore224164375nres_c: ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > c > ( c > refine440942639nres_c ) > refine440942639nres_c ).

thf(func_def_224,type,
    autore430131799nres_d: ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).

thf(func_def_225,type,
    autoref_APP_c_c_c_c: ( c > ( c > c ) > c ) > c > ( c > c ) > c ).

thf(func_def_226,type,
    autoref_APP_c_o_o: ( c > $o > $o ) > c > $o > $o ).

thf(func_def_227,type,
    autore1973425259nres_c: ( c > refine440942639nres_c ) > c > refine440942639nres_c ).

thf(func_def_228,type,
    autore1981686764nres_d: ( c > refine449204144nres_d ) > c > refine449204144nres_d ).

thf(func_def_229,type,
    autoref_APP_c_c: ( c > c ) > c > c ).

thf(func_def_230,type,
    autore1989911767nres_c: ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > d > ( d > refine440942639nres_c ) > refine440942639nres_c ).

thf(func_def_231,type,
    autore48395543nres_d: ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > d > ( d > refine449204144nres_d ) > refine449204144nres_d ).

thf(func_def_232,type,
    autore113191276nres_c: ( d > refine440942639nres_c ) > d > refine440942639nres_c ).

thf(func_def_233,type,
    autore121452781nres_d: ( d > refine449204144nres_d ) > d > refine449204144nres_d ).

thf(func_def_234,type,
    autore971224502_o_c_c: ( ( $o > $o ) > ( ( $o > $o ) > c ) > c ) > ( $o > $o ) > ( ( $o > $o ) > c ) > c ).

thf(func_def_235,type,
    autore1769540484_int_o: ( int > ( int > int > $o ) > int > $o ) > int > ( int > int > $o ) > int > $o ).

thf(func_def_236,type,
    autore1667378628nt_o_o: ( int > ( int > $o ) > $o ) > int > ( int > $o ) > $o ).

thf(func_def_237,type,
    autore906565869nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).

thf(func_def_238,type,
    autore1861331824_o_o_o: ( c > ( c > $o > $o ) > $o > $o ) > c > ( c > $o > $o ) > $o > $o ).

thf(func_def_239,type,
    autore572178349nres_c: ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > c > ( c > refine440942639nres_c ) > refine440942639nres_c ).

thf(func_def_240,type,
    autore2004709357nres_d: ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).

thf(func_def_241,type,
    autoref_OP_c_c_c_c: ( c > ( c > c ) > c ) > c > ( c > c ) > c ).

thf(func_def_242,type,
    autore1836202733nres_c: ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > d > ( d > refine440942639nres_c ) > refine440942639nres_c ).

thf(func_def_243,type,
    autore1121250093nres_d: ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > d > ( d > refine449204144nres_d ) > refine449204144nres_d ).

thf(func_def_244,type,
    autore821969498_o_c_c: set_Pr37069423_o_c_c > autoref_annot ).

thf(func_def_245,type,
    autore1294268534_int_o: set_Pr1351316363_int_o > autoref_annot ).

thf(func_def_246,type,
    autore1079756534nt_o_o: set_Pr1524520971nt_o_o > autoref_annot ).

thf(func_def_247,type,
    autore1424734926_o_o_o: set_Pr1774281699_o_o_o > autoref_annot ).

thf(func_def_248,type,
    autore1545784985nres_c: set_Pr1250642728nres_c > autoref_annot ).

thf(func_def_249,type,
    autore16598297nres_b: set_Pr1358127528nres_b > autoref_annot ).

thf(func_def_250,type,
    autore349294361nres_d: set_Pr2080238504nres_d > autoref_annot ).

thf(func_def_251,type,
    autore464253722_c_c_c: set_Pr807116335_c_c_c > autoref_annot ).

thf(func_def_252,type,
    autore1683160729nres_c: set_Pr584391464nres_c > autoref_annot ).

thf(func_def_253,type,
    autore486670105nres_d: set_Pr1413987240nres_d > autoref_annot ).

thf(func_def_254,type,
    autore1113312320RNAL_o: $o > $o ).

thf(func_def_255,type,
    autore1319416560_nat_o: ( ( nat > $o ) > nat > nat > $o ) > ( ( nat > $o ) > nat > nat > $o ) > $o ).

thf(func_def_256,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_257,type,
    autore1360171649nres_b: ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > $o ).

thf(func_def_258,type,
    autore990423178_o_o_o: ( $o > $o > $o ) > ( $o > $o > $o ) > $o ).

thf(func_def_259,type,
    autore1883416521EQ_o_o: ( $o > $o ) > ( $o > $o ) > $o ).

thf(func_def_260,type,
    autore425620682_int_o: ( int > int > $o ) > ( int > int > $o ) > $o ).

thf(func_def_261,type,
    autore331323266_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_262,type,
    autore1318775848nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > $o ).

thf(func_def_263,type,
    autore519998265nres_b: ( a > refine432681134nres_b ) > ( a > refine432681134nres_b ) > $o ).

thf(func_def_264,type,
    autore1904863386L_EQ_a: a > a > $o ).

thf(func_def_265,type,
    id_o: $o > $o ).

thf(func_def_266,type,
    all_interval_nat: ( nat > $o ) > nat > nat > $o ).

thf(func_def_267,type,
    ord_less_int: int > int > $o ).

thf(func_def_268,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_269,type,
    ord_less_eq_int: int > int > $o ).

thf(func_def_270,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_271,type,
    produc618371095_o_o_o: ( ( $o > $o ) > $o > $o > $o ) > ( ( $o > $o ) > $o > $o > $o ) > produc1039600167_o_o_o ).

thf(func_def_272,type,
    produc1486173035_o_o_o: ( ( $o > $o ) > $o > $o ) > ( ( $o > $o ) > $o > $o ) > produc1839156403_o_o_o ).

thf(func_def_273,type,
    produc259148439_nat_o: ( ( $o > $o ) > nat > nat > $o ) > ( ( $o > $o ) > nat > nat > $o ) > produc1174115751_nat_o ).

thf(func_def_274,type,
    produc2068274457_o_o_c: ( ( $o > $o ) > a ) > ( ( $o > $o ) > c ) > produc2056997417_o_o_c ).

thf(func_def_275,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_276,type,
    produc1206080049_nat_o: ( ( nat > $o ) > nat > nat > $o ) > ( ( nat > $o ) > nat > nat > $o ) > produc1314004473_nat_o ).

thf(func_def_277,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_278,type,
    produc2075136412nres_d: ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc1757587562nres_d ).

thf(func_def_279,type,
    produc1847874839_o_o_o: ( $o > $o > $o ) > ( $o > $o > $o ) > produc46704423_o_o_o ).

thf(func_def_280,type,
    product_Pair_o_o_o_o: ( $o > $o ) > ( $o > $o ) > product_prod_o_o_o_o ).

thf(func_def_281,type,
    produc1849784535_o_int: ( $o > int ) > ( $o > int ) > produc922271079_o_int ).

thf(func_def_282,type,
    produc1099128279_o_nat: ( $o > nat ) > ( $o > nat ) > produc1991839847_o_nat ).

thf(func_def_283,type,
    product_Pair_o_a_o_c: ( $o > a ) > ( $o > c ) > product_prod_o_a_o_c ).

thf(func_def_284,type,
    produc604705507_int_o: ( int > ( int > int > $o ) > int > $o ) > ( int > ( int > int > $o ) > int > $o ) > produc1616993579_int_o ).

thf(func_def_285,type,
    produc2111111011nt_o_o: ( int > ( int > $o ) > $o ) > ( int > ( int > $o ) > $o ) > produc496448427nt_o_o ).

thf(func_def_286,type,
    produc1684950905nt_o_o: ( int > $o > $o ) > ( int > $o > $o ) > produc426758977nt_o_o ).

thf(func_def_287,type,
    produc1217921175_int_o: ( int > int > $o ) > ( int > int > $o ) > produc480790439_int_o ).

thf(func_def_288,type,
    produc2007676503_int_o: ( int > $o ) > ( int > $o ) > produc1620501479_int_o ).

thf(func_def_289,type,
    produc422161031nt_int: ( int > int ) > ( int > int ) > produc719214799nt_int ).

thf(func_def_290,type,
    produc1419879375nt_nat: ( int > nat ) > ( int > nat ) > produc1389674519nt_nat ).

thf(func_def_291,type,
    produc255636953_int_c: ( int > a ) > ( int > c ) > produc1769036905_int_c ).

thf(func_def_292,type,
    produc1951588545at_o_o: ( nat > $o > $o ) > ( nat > $o > $o ) > produc482595465at_o_o ).

thf(func_def_293,type,
    produc1593059991_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > produc724473255_nat_o ).

thf(func_def_294,type,
    produc1218908503_nat_o: ( nat > $o ) > ( nat > $o ) > produc878596327_nat_o ).

thf(func_def_295,type,
    produc1930602447at_int: ( nat > int ) > ( nat > int ) > produc610583575at_int ).

thf(func_def_296,type,
    produc780837143at_nat: ( nat > nat ) > ( nat > nat ) > produc1281043295at_nat ).

thf(func_def_297,type,
    produc1067187929_nat_c: ( nat > a ) > ( nat > c ) > produc1144174441_nat_c ).

thf(func_def_298,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_299,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_300,type,
    produc2073916516nres_c: ( refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ) > ( refine440942639nres_c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > produc1581500522nres_c ).

thf(func_def_301,type,
    produc1992182244nres_b: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > produc1530265066nres_b ).

thf(func_def_302,type,
    produc1066811108nres_a: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ) > produc1298363114nres_a ).

thf(func_def_303,type,
    produc1576596708nres_d: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc2043357418nres_d ).

thf(func_def_304,type,
    produc651225572nres_c: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine449204144nres_d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > produc1811455466nres_c ).

thf(func_def_305,type,
    produc385572580nres_c: ( refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ) > ( refine449204144nres_d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > produc1545802474nres_c ).

thf(func_def_306,type,
    produc2035736420nres_d: ( refine432681134nres_b > ( b > refine432681134nres_b ) > refine432681134nres_b ) > ( refine449204144nres_d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > produc2007659370nres_d ).

thf(func_def_307,type,
    produc183923940nres_b: ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > produc1869490410nres_b ).

thf(func_def_308,type,
    produc1915822052nres_d: ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc235099114nres_d ).

thf(func_def_309,type,
    produc1824358636nres_c: ( a > ( a > refine424419629nres_a ) > refine424419629nres_a ) > ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > produc1914459634nres_c ).

thf(func_def_310,type,
    produc295171948nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > produc96971890nres_b ).

thf(func_def_311,type,
    produc627868012nres_d: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc1677145714nres_d ).

thf(func_def_312,type,
    produc1393542937_c_o_o: ( a > $o > $o ) > ( c > $o > $o ) > produc1838469673_c_o_o ).

thf(func_def_313,type,
    produc278407104nres_a: ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > produc699795910nres_a ).

thf(func_def_314,type,
    produc1827604032nres_c: ( a > refine424419629nres_a ) > ( c > refine440942639nres_c ) > produc1267050566nres_c ).

thf(func_def_315,type,
    produc809128386nres_b: ( a > refine432681134nres_b ) > ( a > refine432681134nres_b ) > produc1536607048nres_b ).

thf(func_def_316,type,
    produc210841666nres_d: ( a > refine432681134nres_b ) > ( c > refine449204144nres_d ) > produc2103861704nres_d ).

thf(func_def_317,type,
    product_Pair_a_a_c_c: ( a > a ) > ( c > c ) > product_prod_a_a_c_c ).

thf(func_def_318,type,
    produc1961734380nres_c: ( b > ( b > refine424419629nres_a ) > refine424419629nres_a ) > ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > produc1716397554nres_c ).

thf(func_def_319,type,
    produc765243756nres_d: ( b > ( b > refine432681134nres_b ) > refine432681134nres_b ) > ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > produc1479083634nres_d ).

thf(func_def_320,type,
    produc316577664nres_c: ( b > refine424419629nres_a ) > ( d > refine440942639nres_c ) > produc1106446854nres_c ).

thf(func_def_321,type,
    produc1445585666nres_b: ( b > refine432681134nres_b ) > ( b > refine432681134nres_b ) > produc1376003336nres_b ).

thf(func_def_322,type,
    produc847298946nres_d: ( b > refine432681134nres_b ) > ( d > refine449204144nres_d ) > produc1943257992nres_d ).

thf(func_def_323,type,
    produc1063567300nres_a: ( c > refine440942639nres_c ) > ( a > refine424419629nres_a ) > produc1484956106nres_a ).

thf(func_def_324,type,
    produc465280580nres_c: ( c > refine440942639nres_c ) > ( c > refine440942639nres_c ) > produc2052210762nres_c ).

thf(func_def_325,type,
    produc83262214nres_b: ( d > refine449204144nres_d ) > ( b > refine432681134nres_b ) > produc13679884nres_b ).

thf(func_def_326,type,
    product_Pair_o_o: $o > $o > product_prod_o_o ).

thf(func_def_327,type,
    product_Pair_int_int: int > int > product_prod_int_int ).

thf(func_def_328,type,
    product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_329,type,
    produc1136923598nres_a: refine424419629nres_a > refine424419629nres_a > produc1609974940nres_a ).

thf(func_def_330,type,
    produc1153446608nres_c: refine424419629nres_a > refine440942639nres_c > produc1741619870nres_c ).

thf(func_def_331,type,
    produc2130641934nres_b: refine432681134nres_b > refine432681134nres_b > produc1587512412nres_b ).

thf(func_def_332,type,
    produc2147164944nres_d: refine432681134nres_b > refine449204144nres_d > produc1719157342nres_d ).

thf(func_def_333,type,
    produc960353612nres_a: refine440942639nres_c > refine424419629nres_a > produc1433404954nres_a ).

thf(func_def_334,type,
    produc976876622nres_c: refine440942639nres_c > refine440942639nres_c > produc1565049884nres_c ).

thf(func_def_335,type,
    produc1954071948nres_b: refine449204144nres_d > refine432681134nres_b > produc1410942426nres_b ).

thf(func_def_336,type,
    product_Pair_a_a: a > a > product_prod_a_a ).

thf(func_def_337,type,
    product_Pair_a_c: a > c > product_prod_a_c ).

thf(func_def_338,type,
    product_Pair_b_d: b > d > product_prod_b_d ).

thf(func_def_339,type,
    refine2063221604TURN_a: a > refine424419629nres_a ).

thf(func_def_340,type,
    refine2063221605TURN_b: b > refine432681134nres_b ).

thf(func_def_341,type,
    refine2063221606TURN_c: c > refine440942639nres_c ).

thf(func_def_342,type,
    refine2063221607TURN_d: d > refine449204144nres_d ).

thf(func_def_343,type,
    refine1985319227es_b_b: refine1696877731nres_b > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ).

thf(func_def_344,type,
    refine1129534141es_d_d: refine116648739nres_d > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ).

thf(func_def_345,type,
    refine436832838nd_a_a: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ).

thf(func_def_346,type,
    refine436832839nd_a_b: refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ).

thf(func_def_347,type,
    refine1264602245nd_b_a: refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ).

thf(func_def_348,type,
    refine1264602246nd_b_b: refine432681134nres_b > ( b > refine432681134nres_b ) > refine432681134nres_b ).

thf(func_def_349,type,
    refine2092371654nd_c_c: refine440942639nres_c > ( c > refine440942639nres_c ) > refine440942639nres_c ).

thf(func_def_350,type,
    refine2092371655nd_c_d: refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ).

thf(func_def_351,type,
    refine772657413nd_d_c: refine449204144nres_d > ( d > refine440942639nres_c ) > refine440942639nres_c ).

thf(func_def_352,type,
    refine772657414nd_d_d: refine449204144nres_d > ( d > refine449204144nres_d ) > refine449204144nres_d ).

thf(func_def_353,type,
    refine230301243_nat_o: set_Pr766923865_nat_o > ( ( ( nat > $o ) > nat > nat > $o ) > $o ) > ( ( nat > $o ) > nat > nat > $o ) > $o ).

thf(func_def_354,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_355,type,
    refine1958703523nres_d: set_Pr797615136nres_d > ( ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > $o ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > $o ).

thf(func_def_356,type,
    refine666274337_o_o_o: set_Pr618353415_o_o_o > ( ( $o > $o > $o ) > $o ) > ( $o > $o > $o ) > $o ).

thf(func_def_357,type,
    refine1725652845_o_o_o: set_Pr934623755_o_o_o > ( ( $o > $o ) > $o ) > ( $o > $o ) > $o ).

thf(func_def_358,type,
    refine1840159649_int_o: set_Pr1320171143_int_o > ( ( int > int > $o ) > $o ) > ( int > int > $o ) > $o ).

thf(func_def_359,type,
    refine67814817_nat_o: set_Pr1659864199_nat_o > ( ( nat > nat > $o ) > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_360,type,
    refine408412177nres_d: set_Pr2080238504nres_d > ( ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > $o ) > ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > $o ).

thf(func_def_361,type,
    refine746536475nres_d: set_Pr589481214nres_d > ( ( c > refine449204144nres_d ) > $o ) > ( a > refine432681134nres_b ) > $o ).

thf(func_def_362,type,
    refine321891363sn_a_c: set_Product_prod_a_c > ( c > $o ) > a > $o ).

thf(func_def_363,type,
    refine1535302424nres_d: set_Pr589481214nres_d > set_Pr1537816964nres_d ).

thf(func_def_364,type,
    refine737062558el_a_a: set_Product_prod_a_a > set_Pr384614482nres_a ).

thf(func_def_365,type,
    refine737062559el_a_b: set_Product_prod_a_b > set_Pr1830268627nres_b ).

thf(func_def_366,type,
    refine737062560el_a_c: set_Product_prod_a_c > set_Pr1128439124nres_c ).

thf(func_def_367,type,
    refine737062561el_a_d: set_Product_prod_a_d > set_Pr426609621nres_d ).

thf(func_def_368,type,
    refine1564831965el_b_a: set_Product_prod_b_a > set_Pr1598501265nres_a ).

thf(func_def_369,type,
    refine1564831966el_b_b: set_Product_prod_b_b > set_Pr896671762nres_b ).

thf(func_def_370,type,
    refine1564831967el_b_c: set_Product_prod_b_c > set_Pr194842259nres_c ).

thf(func_def_371,type,
    refine1564831968el_b_d: set_Product_prod_b_d > set_Pr1640496404nres_d ).

thf(func_def_372,type,
    refine245117724el_c_a: set_Product_prod_c_a > set_Pr664904400nres_a ).

thf(func_def_373,type,
    refine245117726el_c_c: set_Product_prod_c_c > set_Pr1408729042nres_c ).

thf(func_def_374,type,
    refine1072887132el_d_b: set_Product_prod_d_b > set_Pr1176961680nres_b ).

thf(func_def_375,type,
    refine1072887134el_d_d: set_Product_prod_d_d > set_Pr1920786322nres_d ).

thf(func_def_376,type,
    refine1437029927_bnd_a: $o > refine424419629nres_a > refine424419629nres_a ).

thf(func_def_377,type,
    refine1437029928_bnd_b: $o > refine432681134nres_b > refine432681134nres_b ).

thf(func_def_378,type,
    refine1437029929_bnd_c: $o > refine440942639nres_c > refine440942639nres_c ).

thf(func_def_379,type,
    refine1437029930_bnd_d: $o > refine449204144nres_d > refine449204144nres_d ).

thf(func_def_380,type,
    refine1361002633n_bool: set_Product_prod_o_o ).

thf(func_def_381,type,
    id_nat_o_nat_nat_o: set_Pr766923865_nat_o ).

thf(func_def_382,type,
    id_o_o_o: set_Pr618353415_o_o_o ).

thf(func_def_383,type,
    id_o_o: set_Pr934623755_o_o_o ).

thf(func_def_384,type,
    id_o_int: set_Pr1437791047_o_int ).

thf(func_def_385,type,
    id_o_nat: set_Pr343524935_o_nat ).

thf(func_def_386,type,
    id_int_o_o: set_Pr1006121889nt_o_o ).

thf(func_def_387,type,
    id_int_int_o: set_Pr1320171143_int_o ).

thf(func_def_388,type,
    id_int_o: set_Pr94755271_int_o ).

thf(func_def_389,type,
    id_int_int: set_Pr2110946351nt_int ).

thf(func_def_390,type,
    id_int_nat: set_Pr1719254903nt_nat ).

thf(func_def_391,type,
    id_nat_nat_o: set_Pr1659864199_nat_o ).

thf(func_def_392,type,
    id_nat_o: set_Pr310822599_nat_o ).

thf(func_def_393,type,
    id_nat_int: set_Pr1749533559at_int ).

thf(func_def_394,type,
    id_nat_nat: set_Pr1357842111at_nat ).

thf(func_def_395,type,
    id_a_R351071993nres_b: set_Pr1815766654nres_b ).

thf(func_def_396,type,
    id_o2: set_Product_prod_o_o ).

thf(func_def_397,type,
    id_int: set_Pr1858794777nt_int ).

thf(func_def_398,type,
    id_nat: set_Pr1986765409at_nat ).

thf(func_def_399,type,
    id_Ref1256934482nres_b: set_Pr896671762nres_b ).

thf(func_def_400,type,
    id_a: set_Product_prod_a_a ).

thf(func_def_401,type,
    fun_re1859931662_c_a_c: set_Pr1955643401_o_o_c > set_Product_prod_a_c > set_Pr46530663_o_c_c ).

thf(func_def_402,type,
    fun_re1934003492_nat_o: set_Pr766923865_nat_o > set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ).

thf(func_def_403,type,
    fun_re2071856555nres_d: set_Pr797615136nres_d > set_Pr1640496404nres_d > set_Pr1824526846nres_d ).

thf(func_def_404,type,
    fun_re1144975870_o_c_c: set_Pr934623755_o_o_o > set_Pr46530663_o_c_c > set_Pr37069423_o_c_c ).

thf(func_def_405,type,
    fun_re2101272022_o_o_o: set_Pr934623755_o_o_o > set_Pr618353415_o_o_o > set_Pr68707591_o_o_o ).

thf(func_def_406,type,
    fun_re682130338_o_o_o: set_Pr934623755_o_o_o > set_Pr934623755_o_o_o > set_Pr2088790547_o_o_o ).

thf(func_def_407,type,
    fun_re1012178006_nat_o: set_Pr934623755_o_o_o > set_Pr1659864199_nat_o > set_Pr524661639_nat_o ).

thf(func_def_408,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_409,type,
    fun_re22412234_int_o: set_Pr1320171143_int_o > set_Pr94755271_int_o > set_Pr1435428853_int_o ).

thf(func_def_410,type,
    fun_re667116106_o_o_o: set_Pr94755271_int_o > set_Product_prod_o_o > set_Pr1495585653nt_o_o ).

thf(func_def_411,type,
    fun_re215849226_nat_o: set_Pr310822599_nat_o > set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ).

thf(func_def_412,type,
    fun_re881041610_nat_o: set_Pr310822599_nat_o > set_Pr1659864199_nat_o > set_Pr766923865_nat_o ).

thf(func_def_413,type,
    fun_re692194867nres_d: set_Pr24800800nres_d > set_Pr797615136nres_d > set_Pr1712866168nres_d ).

thf(func_def_414,type,
    fun_re2021699288_o_o_o: set_Pr1933985801_c_o_o > set_Pr934623755_o_o_o > set_Pr1371175689_o_o_o ).

thf(func_def_415,type,
    fun_re1877185935nres_c: set_Pr134917244nres_c > set_Pr1128439124nres_c > set_Pr404050976nres_c ).

thf(func_def_416,type,
    fun_re1579405647nres_b: set_Pr1815766654nres_b > set_Pr896671762nres_b > set_Pr1052763806nres_b ).

thf(func_def_417,type,
    fun_re1140323340nres_a: set_Pr1635457468nres_a > set_Pr1598501265nres_a > set_Pr436741343nres_a ).

thf(func_def_418,type,
    fun_re1306413669nres_d: set_Pr589481214nres_d > set_Pr1824526846nres_d > set_Pr613277282nres_d ).

thf(func_def_419,type,
    fun_re1394577105nres_d: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).

thf(func_def_420,type,
    fun_re955494798nres_c: set_Pr409172028nres_c > set_Pr194842259nres_c > set_Pr181592673nres_c ).

thf(func_def_421,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_422,type,
    fun_re1366722255nres_c: set_Pr979578428nres_c > set_Pr1128439124nres_c > set_Pr57594146nres_c ).

thf(func_def_423,type,
    fun_re884113425nres_d: set_Pr1434142398nres_d > set_Pr1640496404nres_d > set_Pr451158306nres_d ).

thf(func_def_424,type,
    fun_re1925572817nres_b: set_Pr1345535106nres_b > set_Pr1176961680nres_b > set_Pr1402127136nres_b ).

thf(func_def_425,type,
    fun_re1740744275nres_d: set_Pr119249666nres_d > set_Pr1920786322nres_d > set_Pr1146978466nres_d ).

thf(func_def_426,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_427,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_428,type,
    fun_rel_o_o_int_int: set_Product_prod_o_o > set_Pr1858794777nt_int > set_Pr1437791047_o_int ).

thf(func_def_429,type,
    fun_rel_o_o_nat_nat: set_Product_prod_o_o > set_Pr1986765409at_nat > set_Pr343524935_o_nat ).

thf(func_def_430,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_431,type,
    fun_re2036221850_int_o: set_Pr1858794777nt_int > set_Pr1435428853_int_o > set_Pr1351316363_int_o ).

thf(func_def_432,type,
    fun_re442767642nt_o_o: set_Pr1858794777nt_int > set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ).

thf(func_def_433,type,
    fun_re464413488_o_o_o: set_Pr1858794777nt_int > set_Pr934623755_o_o_o > set_Pr1006121889nt_o_o ).

thf(func_def_434,type,
    fun_re986858916_int_o: set_Pr1858794777nt_int > set_Pr94755271_int_o > set_Pr1320171143_int_o ).

thf(func_def_435,type,
    fun_rel_int_int_o_o: set_Pr1858794777nt_int > set_Product_prod_o_o > set_Pr94755271_int_o ).

thf(func_def_436,type,
    fun_re202574526nt_int: set_Pr1858794777nt_int > set_Pr1858794777nt_int > set_Pr2110946351nt_int ).

thf(func_def_437,type,
    fun_re1799515654at_nat: set_Pr1858794777nt_int > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ).

thf(func_def_438,type,
    fun_rel_int_int_a_c: set_Pr1858794777nt_int > set_Product_prod_a_c > set_Pr1575377993_int_c ).

thf(func_def_439,type,
    fun_re1521677944_o_o_o: set_Pr1986765409at_nat > set_Pr934623755_o_o_o > set_Pr2058424041at_o_o ).

thf(func_def_440,type,
    fun_re1770844140_nat_o: set_Pr1986765409at_nat > set_Pr310822599_nat_o > set_Pr1659864199_nat_o ).

thf(func_def_441,type,
    fun_rel_nat_nat_o_o: set_Pr1986765409at_nat > set_Product_prod_o_o > set_Pr310822599_nat_o ).

thf(func_def_442,type,
    fun_re1088433670nt_int: set_Pr1986765409at_nat > set_Pr1858794777nt_int > set_Pr1749533559at_int ).

thf(func_def_443,type,
    fun_re537891150at_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1357842111at_nat ).

thf(func_def_444,type,
    fun_rel_nat_nat_a_c: set_Pr1986765409at_nat > set_Product_prod_a_c > set_Pr933902153_nat_c ).

thf(func_def_445,type,
    fun_re1732033515nres_d: set_Pr1537816964nres_d > set_Pr1824526846nres_d > set_Pr1710101992nres_d ).

thf(func_def_446,type,
    fun_re2045802267nres_b: set_Pr384614482nres_a > set_Pr1052763806nres_b > set_Pr818594592nres_b ).

thf(func_def_447,type,
    fun_re1904331357nres_a: set_Pr1830268627nres_b > set_Pr436741343nres_a > set_Pr2039330848nres_a ).

thf(func_def_448,type,
    fun_re1190106143nres_d: set_Pr1128439124nres_c > set_Pr1712866168nres_d > set_Pr1614046668nres_d ).

thf(func_def_449,type,
    fun_re1915547295nres_c: set_Pr1128439124nres_c > set_Pr404050976nres_c > set_Pr882593184nres_c ).

thf(func_def_450,type,
    fun_re439246495nres_d: set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).

thf(func_def_451,type,
    fun_re297775585nres_c: set_Pr426609621nres_d > set_Pr181592673nres_c > set_Pr1245537056nres_c ).

thf(func_def_452,type,
    fun_re816936095nres_c: set_Pr1640496404nres_d > set_Pr57594146nres_c > set_Pr1652381728nres_c ).

thf(func_def_453,type,
    fun_re1488118943nres_d: set_Pr1640496404nres_d > set_Pr451158306nres_d > set_Pr794589344nres_d ).

thf(func_def_454,type,
    fun_re650017687nres_b: set_Pr664904400nres_a > set_Pr1402127136nres_b > set_Pr1436380704nres_b ).

thf(func_def_455,type,
    fun_re1190945563nres_d: set_Pr1408729042nres_c > set_Pr1146978466nres_d > set_Pr642586912nres_d ).

thf(func_def_456,type,
    fun_re1165441639nres_b: set_Product_prod_a_a > set_Pr1052763806nres_b > set_Pr1358127528nres_b ).

thf(func_def_457,type,
    fun_re843975451nres_a: set_Product_prod_a_a > set_Pr384614482nres_a > set_Pr1361202684nres_a ).

thf(func_def_458,type,
    fun_re1837693787nres_b: set_Product_prod_a_a > set_Pr896671762nres_b > set_Pr1815766654nres_b ).

thf(func_def_459,type,
    fun_re708847385nres_a: set_Product_prod_a_b > set_Pr1598501265nres_a > set_Pr1635457468nres_a ).

thf(func_def_460,type,
    fun_re362844942_o_o_o: set_Product_prod_a_c > set_Pr1371175689_o_o_o > set_Pr1774281699_o_o_o ).

thf(func_def_461,type,
    fun_re418666087nres_c: set_Product_prod_a_c > set_Pr404050976nres_c > set_Pr1250642728nres_c ).

thf(func_def_462,type,
    fun_re1089848935nres_d: set_Product_prod_a_c > set_Pr797615136nres_d > set_Pr2080238504nres_d ).

thf(func_def_463,type,
    fun_re836380558_c_c_c: set_Product_prod_a_c > set_Pr1673989513_c_c_c > set_Pr807116335_c_c_c ).

thf(func_def_464,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_465,type,
    fun_re766812315nres_c: set_Product_prod_a_c > set_Pr1128439124nres_c > set_Pr134917244nres_c ).

thf(func_def_466,type,
    fun_re1760530651nres_d: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ).

thf(func_def_467,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_468,type,
    fun_re631684249nres_c: set_Product_prod_a_d > set_Pr194842259nres_c > set_Pr409172028nres_c ).

thf(func_def_469,type,
    fun_re132614427nres_b: set_Product_prod_b_b > set_Pr896671762nres_b > set_Pr512944190nres_b ).

thf(func_def_470,type,
    fun_re430551721nres_c: set_Product_prod_b_d > set_Pr57594146nres_c > set_Pr584391464nres_c ).

thf(func_def_471,type,
    fun_re1101734569nres_d: set_Product_prod_b_d > set_Pr451158306nres_d > set_Pr1413987240nres_d ).

thf(func_def_472,type,
    fun_re1209216603nres_c: set_Product_prod_b_d > set_Pr1128439124nres_c > set_Pr979578428nres_c ).

thf(func_def_473,type,
    fun_re55451291nres_d: set_Product_prod_b_d > set_Pr1640496404nres_d > set_Pr1434142398nres_d ).

thf(func_def_474,type,
    fun_re1645900187nres_a: set_Product_prod_c_a > set_Pr664904400nres_a > set_Pr890971136nres_a ).

thf(func_def_475,type,
    fun_re492134875nres_b: set_Product_prod_c_a > set_Pr1176961680nres_b > set_Pr1345535106nres_b ).

thf(func_def_476,type,
    fun_re1568737051nres_c: set_Product_prod_c_c > set_Pr1408729042nres_c > set_Pr1812169344nres_c ).

thf(func_def_477,type,
    fun_re414971739nres_d: set_Product_prod_c_c > set_Pr1920786322nres_d > set_Pr119249666nres_d ).

thf(func_def_478,type,
    fun_re934539163nres_b: set_Product_prod_d_b > set_Pr1176961680nres_b > set_Pr42712642nres_b ).

thf(func_def_479,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_480,type,
    relAPP1219475094_nat_o: ( set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ) > set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ).

thf(func_def_481,type,
    relAPP1388319497nres_d: ( set_Pr1824526846nres_d > set_Pr613277282nres_d ) > set_Pr1824526846nres_d > set_Pr613277282nres_d ).

thf(func_def_482,type,
    relAPP745136137nres_d: ( set_Pr1824526846nres_d > set_Pr1710101992nres_d ) > set_Pr1824526846nres_d > set_Pr1710101992nres_d ).

thf(func_def_483,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_484,type,
    relAPP1770679164_int_o: ( set_Pr1435428853_int_o > set_Pr1351316363_int_o ) > set_Pr1435428853_int_o > set_Pr1351316363_int_o ).

thf(func_def_485,type,
    relAPP92429436nt_o_o: ( set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ) > set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ).

thf(func_def_486,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_487,type,
    relAPP1095654971nres_d: ( set_Pr1712866168nres_d > set_Pr1614046668nres_d ) > set_Pr1712866168nres_d > set_Pr1614046668nres_d ).

thf(func_def_488,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_489,type,
    relAPP765626983nres_c: ( set_Pr404050976nres_c > set_Pr882593184nres_c ) > set_Pr404050976nres_c > set_Pr882593184nres_c ).

thf(func_def_490,type,
    relAPP998488211nres_c: ( set_Pr404050976nres_c > set_Pr1250642728nres_c ) > set_Pr404050976nres_c > set_Pr1250642728nres_c ).

thf(func_def_491,type,
    relAPP869047273nres_b: ( set_Pr1052763806nres_b > set_Pr818594592nres_b ) > set_Pr1052763806nres_b > set_Pr818594592nres_b ).

thf(func_def_492,type,
    relAPP91071253nres_b: ( set_Pr1052763806nres_b > set_Pr1358127528nres_b ) > set_Pr1052763806nres_b > set_Pr1358127528nres_b ).

thf(func_def_493,type,
    relAPP1102334824nres_a: ( set_Pr436741343nres_a > set_Pr2039330848nres_a ) > set_Pr436741343nres_a > set_Pr2039330848nres_a ).

thf(func_def_494,type,
    relAPP1953591565nres_d: ( set_Pr797615136nres_d > set_Pr1640496404nres_d > set_Pr1824526846nres_d ) > set_Pr797615136nres_d > set_Pr1640496404nres_d > set_Pr1824526846nres_d ).

thf(func_def_495,type,
    relAPP1659518317nres_d: ( set_Pr797615136nres_d > set_Pr1712866168nres_d ) > set_Pr797615136nres_d > set_Pr1712866168nres_d ).

thf(func_def_496,type,
    relAPP511982311nres_d: ( set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr797615136nres_d > set_Pr24800800nres_d ).

thf(func_def_497,type,
    relAPP1354295571nres_d: ( set_Pr797615136nres_d > set_Pr2080238504nres_d ) > set_Pr797615136nres_d > set_Pr2080238504nres_d ).

thf(func_def_498,type,
    relAPP745269862nres_c: ( set_Pr181592673nres_c > set_Pr1245537056nres_c ) > set_Pr181592673nres_c > set_Pr1245537056nres_c ).

thf(func_def_499,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_500,type,
    relAPP944912869nres_c: ( set_Pr57594146nres_c > set_Pr1652381728nres_c ) > set_Pr57594146nres_c > set_Pr1652381728nres_c ).

thf(func_def_501,type,
    relAPP131141393nres_c: ( set_Pr57594146nres_c > set_Pr584391464nres_c ) > set_Pr57594146nres_c > set_Pr584391464nres_c ).

thf(func_def_502,type,
    relAPP691268197nres_d: ( set_Pr451158306nres_d > set_Pr794589344nres_d ) > set_Pr451158306nres_d > set_Pr794589344nres_d ).

thf(func_def_503,type,
    relAPP486948753nres_d: ( set_Pr451158306nres_d > set_Pr1413987240nres_d ) > set_Pr451158306nres_d > set_Pr1413987240nres_d ).

thf(func_def_504,type,
    relAPP1077394663nres_b: ( set_Pr1402127136nres_b > set_Pr1436380704nres_b ) > set_Pr1402127136nres_b > set_Pr1436380704nres_b ).

thf(func_def_505,type,
    relAPP720329701nres_d: ( set_Pr1146978466nres_d > set_Pr642586912nres_d ) > set_Pr1146978466nres_d > set_Pr642586912nres_d ).

thf(func_def_506,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_507,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_508,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_509,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_510,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_511,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_512,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_513,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_514,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_515,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_516,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_517,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_518,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_519,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_520,type,
    relAPP371694684_int_o: ( set_Pr94755271_int_o > set_Pr1435428853_int_o ) > set_Pr94755271_int_o > set_Pr1435428853_int_o ).

thf(func_def_521,type,
    relAPP556082542_int_o: ( set_Pr94755271_int_o > set_Pr1320171143_int_o ) > set_Pr94755271_int_o > set_Pr1320171143_int_o ).

thf(func_def_522,type,
    relAPP274646254_nat_o: ( set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ) > set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ).

thf(func_def_523,type,
    relAPP171453998_nat_o: ( set_Pr1659864199_nat_o > set_Pr524661639_nat_o ) > set_Pr1659864199_nat_o > set_Pr524661639_nat_o ).

thf(func_def_524,type,
    relAPP752865152_nat_o: ( set_Pr1659864199_nat_o > set_Pr766923865_nat_o ) > set_Pr1659864199_nat_o > set_Pr766923865_nat_o ).

thf(func_def_525,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_526,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_527,type,
    relAPP432724078_nat_o: ( set_Pr310822599_nat_o > set_Pr1659864199_nat_o ) > set_Pr310822599_nat_o > set_Pr1659864199_nat_o ).

thf(func_def_528,type,
    relAPP759382665nres_d: ( set_Pr24800800nres_d > set_Pr797615136nres_d > set_Pr1712866168nres_d ) > set_Pr24800800nres_d > set_Pr797615136nres_d > set_Pr1712866168nres_d ).

thf(func_def_529,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_530,type,
    relAPP483050597nres_c: ( set_Pr134917244nres_c > set_Pr1128439124nres_c > set_Pr404050976nres_c ) > set_Pr134917244nres_c > set_Pr1128439124nres_c > set_Pr404050976nres_c ).

thf(func_def_531,type,
    relAPP1293188647nres_b: ( set_Pr1815766654nres_b > set_Pr896671762nres_b > set_Pr1052763806nres_b ) > set_Pr1815766654nres_b > set_Pr896671762nres_b > set_Pr1052763806nres_b ).

thf(func_def_532,type,
    relAPP811277159nres_a: ( set_Pr1635457468nres_a > set_Pr1598501265nres_a > set_Pr436741343nres_a ) > set_Pr1635457468nres_a > set_Pr1598501265nres_a > set_Pr436741343nres_a ).

thf(func_def_533,type,
    relAPP1716516381nres_d: ( set_Pr589481214nres_d > set_Pr1824526846nres_d > set_Pr613277282nres_d ) > set_Pr589481214nres_d > set_Pr1824526846nres_d > set_Pr613277282nres_d ).

thf(func_def_534,type,
    relAPP98076839nres_d: ( set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).

thf(func_def_535,type,
    relAPP1482036727nres_d: ( set_Pr589481214nres_d > set_Pr1537816964nres_d ) > set_Pr589481214nres_d > set_Pr1537816964nres_d ).

thf(func_def_536,type,
    relAPP1763648999nres_c: ( set_Pr409172028nres_c > set_Pr194842259nres_c > set_Pr181592673nres_c ) > set_Pr409172028nres_c > set_Pr194842259nres_c > set_Pr181592673nres_c ).

thf(func_def_537,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_538,type,
    relAPP1790450405nres_c: ( set_Pr979578428nres_c > set_Pr1128439124nres_c > set_Pr57594146nres_c ) > set_Pr979578428nres_c > set_Pr1128439124nres_c > set_Pr57594146nres_c ).

thf(func_def_539,type,
    relAPP1405476647nres_d: ( set_Pr1434142398nres_d > set_Pr1640496404nres_d > set_Pr451158306nres_d ) > set_Pr1434142398nres_d > set_Pr1640496404nres_d > set_Pr451158306nres_d ).

thf(func_def_540,type,
    relAPP38185259nres_b: ( set_Pr1345535106nres_b > set_Pr1176961680nres_b > set_Pr1402127136nres_b ) > set_Pr1345535106nres_b > set_Pr1176961680nres_b > set_Pr1402127136nres_b ).

thf(func_def_541,type,
    relAPP990557099nres_d: ( set_Pr119249666nres_d > set_Pr1920786322nres_d > set_Pr1146978466nres_d ) > set_Pr119249666nres_d > set_Pr1920786322nres_d > set_Pr1146978466nres_d ).

thf(func_def_542,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_543,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_544,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_545,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_546,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_547,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_548,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_549,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_550,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_551,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_552,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_553,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_554,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_555,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_556,type,
    relAPP1991857966nt_int: ( set_Pr1858794777nt_int > set_Pr1858794777nt_int > set_Pr2110946351nt_int ) > set_Pr1858794777nt_int > set_Pr1858794777nt_int > set_Pr2110946351nt_int ).

thf(func_def_557,type,
    relAPP1187211054nt_nat: ( set_Pr1858794777nt_int > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ) > set_Pr1858794777nt_int > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ).

thf(func_def_558,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_559,type,
    relAPP1162049684_o_int: ( set_Pr1858794777nt_int > set_Pr1437791047_o_int ) > set_Pr1858794777nt_int > set_Pr1437791047_o_int ).

thf(func_def_560,type,
    relAPP1326544636nt_int: ( set_Pr1858794777nt_int > set_Pr2110946351nt_int ) > set_Pr1858794777nt_int > set_Pr2110946351nt_int ).

thf(func_def_561,type,
    relAPP965131844at_int: ( set_Pr1858794777nt_int > set_Pr1749533559at_int ) > set_Pr1858794777nt_int > set_Pr1749533559at_int ).

thf(func_def_562,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_563,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_564,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_565,type,
    relAPP1879625150at_int: ( set_Pr1986765409at_nat > set_Pr1858794777nt_int > set_Pr1749533559at_int ) > set_Pr1986765409at_nat > set_Pr1858794777nt_int > set_Pr1749533559at_int ).

thf(func_def_566,type,
    relAPP1074978238at_nat: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1357842111at_nat ) > set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1357842111at_nat ).

thf(func_def_567,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_568,type,
    relAPP912835148_o_nat: ( set_Pr1986765409at_nat > set_Pr343524935_o_nat ) > set_Pr1986765409at_nat > set_Pr343524935_o_nat ).

thf(func_def_569,type,
    relAPP1766880508nt_nat: ( set_Pr1986765409at_nat > set_Pr1719254903nt_nat ) > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ).

thf(func_def_570,type,
    relAPP1405467716at_nat: ( set_Pr1986765409at_nat > set_Pr1357842111at_nat ) > set_Pr1986765409at_nat > set_Pr1357842111at_nat ).

thf(func_def_571,type,
    relAPP1787540131nres_d: ( set_Pr1537816964nres_d > set_Pr1824526846nres_d > set_Pr1710101992nres_d ) > set_Pr1537816964nres_d > set_Pr1824526846nres_d > set_Pr1710101992nres_d ).

thf(func_def_572,type,
    relAPP1111247343nres_b: ( set_Pr384614482nres_a > set_Pr1052763806nres_b > set_Pr818594592nres_b ) > set_Pr384614482nres_a > set_Pr1052763806nres_b > set_Pr818594592nres_b ).

thf(func_def_573,type,
    relAPP907138281nres_a: ( set_Pr384614482nres_a > set_Pr1361202684nres_a ) > set_Pr384614482nres_a > set_Pr1361202684nres_a ).

thf(func_def_574,type,
    relAPP1042385007nres_a: ( set_Pr1830268627nres_b > set_Pr436741343nres_a > set_Pr2039330848nres_a ) > set_Pr1830268627nres_b > set_Pr436741343nres_a > set_Pr2039330848nres_a ).

thf(func_def_575,type,
    relAPP422583323nres_d: ( set_Pr1128439124nres_c > set_Pr1712866168nres_d > set_Pr1614046668nres_d ) > set_Pr1128439124nres_c > set_Pr1712866168nres_d > set_Pr1614046668nres_d ).

thf(func_def_576,type,
    relAPP177337967nres_c: ( set_Pr1128439124nres_c > set_Pr404050976nres_c > set_Pr882593184nres_c ) > set_Pr1128439124nres_c > set_Pr404050976nres_c > set_Pr882593184nres_c ).

thf(func_def_577,type,
    relAPP1396672239nres_d: ( set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).

thf(func_def_578,type,
    relAPP1774615993nres_c: ( set_Pr1128439124nres_c > set_Pr404050976nres_c ) > set_Pr1128439124nres_c > set_Pr404050976nres_c ).

thf(func_def_579,type,
    relAPP489595641nres_c: ( set_Pr1128439124nres_c > set_Pr57594146nres_c ) > set_Pr1128439124nres_c > set_Pr57594146nres_c ).

thf(func_def_580,type,
    relAPP2018433511nres_c: ( set_Pr1128439124nres_c > set_Pr134917244nres_c ) > set_Pr1128439124nres_c > set_Pr134917244nres_c ).

thf(func_def_581,type,
    relAPP1564590053nres_c: ( set_Pr1128439124nres_c > set_Pr979578428nres_c ) > set_Pr1128439124nres_c > set_Pr979578428nres_c ).

thf(func_def_582,type,
    relAPP1327809903nres_c: ( set_Pr426609621nres_d > set_Pr181592673nres_c > set_Pr1245537056nres_c ) > set_Pr426609621nres_d > set_Pr181592673nres_c > set_Pr1245537056nres_c ).

thf(func_def_583,type,
    relAPP919190011nres_a: ( set_Pr1598501265nres_a > set_Pr436741343nres_a ) > set_Pr1598501265nres_a > set_Pr436741343nres_a ).

thf(func_def_584,type,
    relAPP587861290nres_a: ( set_Pr1598501265nres_a > set_Pr1635457468nres_a ) > set_Pr1598501265nres_a > set_Pr1635457468nres_a ).

thf(func_def_585,type,
    relAPP2095637113nres_b: ( set_Pr896671762nres_b > set_Pr1052763806nres_b ) > set_Pr896671762nres_b > set_Pr1052763806nres_b ).

thf(func_def_586,type,
    relAPP1936960811nres_b: ( set_Pr896671762nres_b > set_Pr1815766654nres_b ) > set_Pr896671762nres_b > set_Pr1815766654nres_b ).

thf(func_def_587,type,
    relAPP1483117353nres_b: ( set_Pr896671762nres_b > set_Pr512944190nres_b ) > set_Pr896671762nres_b > set_Pr512944190nres_b ).

thf(func_def_588,type,
    relAPP1784890619nres_c: ( set_Pr194842259nres_c > set_Pr181592673nres_c ) > set_Pr194842259nres_c > set_Pr181592673nres_c ).

thf(func_def_589,type,
    relAPP1699156520nres_c: ( set_Pr194842259nres_c > set_Pr409172028nres_c ) > set_Pr194842259nres_c > set_Pr409172028nres_c ).

thf(func_def_590,type,
    relAPP492592111nres_c: ( set_Pr1640496404nres_d > set_Pr57594146nres_c > set_Pr1652381728nres_c ) > set_Pr1640496404nres_d > set_Pr57594146nres_c > set_Pr1652381728nres_c ).

thf(func_def_591,type,
    relAPP1711926383nres_d: ( set_Pr1640496404nres_d > set_Pr451158306nres_d > set_Pr794589344nres_d ) > set_Pr1640496404nres_d > set_Pr451158306nres_d > set_Pr794589344nres_d ).

thf(func_def_592,type,
    relAPP1552964229nres_d: ( set_Pr1640496404nres_d > set_Pr1824526846nres_d ) > set_Pr1640496404nres_d > set_Pr1824526846nres_d ).

thf(func_def_593,type,
    relAPP813854073nres_d: ( set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr1640496404nres_d > set_Pr797615136nres_d ).

thf(func_def_594,type,
    relAPP1676317369nres_d: ( set_Pr1640496404nres_d > set_Pr451158306nres_d ) > set_Pr1640496404nres_d > set_Pr451158306nres_d ).

thf(func_def_595,type,
    relAPP900772393nres_d: ( set_Pr1640496404nres_d > set_Pr589481214nres_d ) > set_Pr1640496404nres_d > set_Pr589481214nres_d ).

thf(func_def_596,type,
    relAPP446928935nres_d: ( set_Pr1640496404nres_d > set_Pr1434142398nres_d ) > set_Pr1640496404nres_d > set_Pr1434142398nres_d ).

thf(func_def_597,type,
    relAPP1747515631nres_b: ( set_Pr664904400nres_a > set_Pr1402127136nres_b > set_Pr1436380704nres_b ) > set_Pr664904400nres_a > set_Pr1402127136nres_b > set_Pr1436380704nres_b ).

thf(func_def_598,type,
    relAPP947801195nres_a: ( set_Pr664904400nres_a > set_Pr890971136nres_a ) > set_Pr664904400nres_a > set_Pr890971136nres_a ).

thf(func_def_599,type,
    relAPP2032940527nres_d: ( set_Pr1408729042nres_c > set_Pr1146978466nres_d > set_Pr642586912nres_d ) > set_Pr1408729042nres_c > set_Pr1146978466nres_d > set_Pr642586912nres_d ).

thf(func_def_600,type,
    relAPP2059096425nres_c: ( set_Pr1408729042nres_c > set_Pr1812169344nres_c ) > set_Pr1408729042nres_c > set_Pr1812169344nres_c ).

thf(func_def_601,type,
    relAPP1033339257nres_b: ( set_Pr1176961680nres_b > set_Pr1402127136nres_b ) > set_Pr1176961680nres_b > set_Pr1402127136nres_b ).

thf(func_def_602,type,
    relAPP1977623725nres_b: ( set_Pr1176961680nres_b > set_Pr1345535106nres_b ) > set_Pr1176961680nres_b > set_Pr1345535106nres_b ).

thf(func_def_603,type,
    relAPP1523780267nres_b: ( set_Pr1176961680nres_b > set_Pr42712642nres_b ) > set_Pr1176961680nres_b > set_Pr42712642nres_b ).

thf(func_def_604,type,
    relAPP1899039865nres_d: ( set_Pr1920786322nres_d > set_Pr1146978466nres_d ) > set_Pr1920786322nres_d > set_Pr1146978466nres_d ).

thf(func_def_605,type,
    relAPP941435307nres_d: ( set_Pr1920786322nres_d > set_Pr119249666nres_d ) > set_Pr1920786322nres_d > set_Pr119249666nres_d ).

thf(func_def_606,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_607,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_608,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_609,type,
    relAPP1642956907nres_a: ( set_Product_prod_a_a > set_Pr384614482nres_a ) > set_Product_prod_a_a > set_Pr384614482nres_a ).

thf(func_def_610,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_611,type,
    relAPP11374829nres_b: ( set_Product_prod_a_b > set_Pr1830268627nres_b ) > set_Product_prod_a_b > set_Pr1830268627nres_b ).

thf(func_def_612,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_613,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_614,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_615,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_616,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_617,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_618,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_619,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_620,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_621,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_622,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_623,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_624,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_625,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_626,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_627,type,
    relAPP527276399nres_c: ( set_Product_prod_a_c > set_Pr1128439124nres_c ) > set_Product_prod_a_c > set_Pr1128439124nres_c ).

thf(func_def_628,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_629,type,
    relAPP1043177969nres_d: ( set_Product_prod_a_d > set_Pr426609621nres_d ) > set_Product_prod_a_d > set_Pr426609621nres_d ).

thf(func_def_630,type,
    relAPP1912873449nres_a: ( set_Product_prod_b_a > set_Pr1598501265nres_a ) > set_Product_prod_b_a > set_Pr1598501265nres_a ).

thf(func_def_631,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_632,type,
    relAPP281291371nres_b: ( set_Product_prod_b_b > set_Pr896671762nres_b ) > set_Product_prod_b_b > set_Pr896671762nres_b ).

thf(func_def_633,type,
    relAPP797192941nres_c: ( set_Product_prod_b_c > set_Pr194842259nres_c ) > set_Product_prod_b_c > set_Pr194842259nres_c ).

thf(func_def_634,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_635,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_636,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_637,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_638,type,
    relAPP1313094511nres_d: ( set_Product_prod_b_d > set_Pr1640496404nres_d ) > set_Product_prod_b_d > set_Pr1640496404nres_d ).

thf(func_def_639,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_640,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_641,type,
    relAPP35306343nres_a: ( set_Product_prod_c_a > set_Pr664904400nres_a ) > set_Product_prod_c_a > set_Pr664904400nres_a ).

thf(func_def_642,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_643,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_644,type,
    relAPP1067109483nres_c: ( set_Product_prod_c_c > set_Pr1408729042nres_c ) > set_Product_prod_c_c > set_Pr1408729042nres_c ).

thf(func_def_645,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_646,type,
    relAPP821124455nres_b: ( set_Product_prod_d_b > set_Pr1176961680nres_b ) > set_Product_prod_d_b > set_Pr1176961680nres_b ).

thf(func_def_647,type,
    relAPP1852927595nres_d: ( set_Product_prod_d_d > set_Pr1920786322nres_d ) > set_Product_prod_d_d > set_Pr1920786322nres_d ).

thf(func_def_648,type,
    collec1760248548_nat_o: ( produc1314004473_nat_o > $o ) > set_Pr766923865_nat_o ).

thf(func_def_649,type,
    collec1321668993nres_d: ( produc809931564nres_d > $o ) > set_Pr613277282nres_d ).

thf(func_def_650,type,
    collec1671161663nres_d: ( produc1757587562nres_d > $o ) > set_Pr797615136nres_d ).

thf(func_def_651,type,
    collec149876626_o_o_o: ( produc46704423_o_o_o > $o ) > set_Pr618353415_o_o_o ).

thf(func_def_652,type,
    collec1505367958_o_o_o: ( product_prod_o_o_o_o > $o ) > set_Pr934623755_o_o_o ).

thf(func_def_653,type,
    collec964422930_int_o: ( produc480790439_int_o > $o ) > set_Pr1320171143_int_o ).

thf(func_def_654,type,
    collec1208105746_nat_o: ( produc724473255_nat_o > $o ) > set_Pr1659864199_nat_o ).

thf(func_def_655,type,
    collec554837959nres_d: ( produc1677145714nres_d > $o ) > set_Pr2080238504nres_d ).

thf(func_def_656,type,
    collec1639315997nres_d: ( produc2103861704nres_d > $o ) > set_Pr589481214nres_d ).

thf(func_def_657,type,
    collec662378644od_a_c: ( product_prod_a_c > $o ) > set_Product_prod_a_c ).

thf(func_def_658,type,
    member77287248_o_o_o: produc1039600167_o_o_o > set_Pr68707591_o_o_o > $o ).

thf(func_def_659,type,
    member1888652380_o_o_o: produc1839156403_o_o_o > set_Pr2088790547_o_o_o > $o ).

thf(func_def_660,type,
    member898353616_nat_o: produc1174115751_nat_o > set_Pr524661639_nat_o > $o ).

thf(func_def_661,type,
    member1270020946_o_o_c: produc2056997417_o_o_c > set_Pr1955643401_o_o_c > $o ).

thf(func_def_662,type,
    member1641679352_nat_o: produc416848975_nat_o > set_Pr1125433775_nat_o > $o ).

thf(func_def_663,type,
    member1184737698_nat_o: produc1314004473_nat_o > set_Pr766923865_nat_o > $o ).

thf(func_def_664,type,
    member660096835nres_d: produc809931564nres_d > set_Pr613277282nres_d > $o ).

thf(func_def_665,type,
    member461830657nres_d: produc1757587562nres_d > set_Pr797615136nres_d > $o ).

thf(func_def_666,type,
    member62857552_o_o_o: produc46704423_o_o_o > set_Pr618353415_o_o_o > $o ).

thf(func_def_667,type,
    member250723412_o_o_o: product_prod_o_o_o_o > set_Pr934623755_o_o_o > $o ).

thf(func_def_668,type,
    member1374144912_o_int: produc922271079_o_int > set_Pr1437791047_o_int > $o ).

thf(func_def_669,type,
    member296230032_o_nat: produc1991839847_o_nat > set_Pr343524935_o_nat > $o ).

thf(func_def_670,type,
    member1078413858_a_o_c: product_prod_o_a_o_c > set_Pr709440729_a_o_c > $o ).

thf(func_def_671,type,
    member764986836_int_o: produc1616993579_int_o > set_Pr1351316363_int_o > $o ).

thf(func_def_672,type,
    member672653908nt_o_o: produc496448427nt_o_o > set_Pr1524520971nt_o_o > $o ).

thf(func_def_673,type,
    member1749460202nt_o_o: produc426758977nt_o_o > set_Pr1006121889nt_o_o > $o ).

thf(func_def_674,type,
    member93171920_int_o: produc480790439_int_o > set_Pr1320171143_int_o > $o ).

thf(func_def_675,type,
    member2072375312_int_o: produc1620501479_int_o > set_Pr94755271_int_o > $o ).

thf(func_def_676,type,
    member1698479224nt_int: produc719214799nt_int > set_Pr2110946351nt_int > $o ).

thf(func_def_677,type,
    member221455296nt_nat: produc1389674519nt_nat > set_Pr1719254903nt_nat > $o ).

thf(func_def_678,type,
    member716152722_int_c: produc1769036905_int_c > set_Pr1575377993_int_c > $o ).

thf(func_def_679,type,
    member1805296690at_o_o: produc482595465at_o_o > set_Pr2058424041at_o_o > $o ).

thf(func_def_680,type,
    member336854736_nat_o: produc724473255_nat_o > set_Pr1659864199_nat_o > $o ).

thf(func_def_681,type,
    member1330470160_nat_o: produc878596327_nat_o > set_Pr310822599_nat_o > $o ).

thf(func_def_682,type,
    member1589848000at_int: produc610583575at_int > set_Pr1749533559at_int > $o ).

thf(func_def_683,type,
    member112824072at_nat: produc1281043295at_nat > set_Pr1357842111at_nat > $o ).

thf(func_def_684,type,
    member91290258_nat_c: produc1144174441_nat_c > set_Pr933902153_nat_c > $o ).

thf(func_def_685,type,
    member449974729nres_d: produc1834705330nres_d > set_Pr1710101992nres_d > $o ).

thf(func_def_686,type,
    member508530605nres_d: produc819780758nres_d > set_Pr1614046668nres_d > $o ).

thf(func_def_687,type,
    member1751415169nres_c: produc1581500522nres_c > set_Pr882593184nres_c > $o ).

thf(func_def_688,type,
    member1700179713nres_b: produc1530265066nres_b > set_Pr818594592nres_b > $o ).

thf(func_def_689,type,
    member1468277761nres_a: produc1298363114nres_a > set_Pr2039330848nres_a > $o ).

thf(func_def_690,type,
    member65788417nres_d: produc2043357418nres_d > set_Pr24800800nres_d > $o ).

thf(func_def_691,type,
    member1981370113nres_c: produc1811455466nres_c > set_Pr1245537056nres_c > $o ).

thf(func_def_692,type,
    member1715717121nres_c: produc1545802474nres_c > set_Pr1652381728nres_c > $o ).

thf(func_def_693,type,
    member30090369nres_d: produc2007659370nres_d > set_Pr794589344nres_d > $o ).

thf(func_def_694,type,
    member2039405057nres_b: produc1869490410nres_b > set_Pr1436380704nres_b > $o ).

thf(func_def_695,type,
    member405013761nres_d: produc235099114nres_d > set_Pr642586912nres_d > $o ).

thf(func_def_696,type,
    member427035401nres_c: produc1914459634nres_c > set_Pr1250642728nres_c > $o ).

thf(func_def_697,type,
    member757031305nres_b: produc96971890nres_b > set_Pr1358127528nres_b > $o ).

thf(func_def_698,type,
    member189721481nres_d: produc1677145714nres_d > set_Pr2080238504nres_d > $o ).

thf(func_def_699,type,
    member1051493202_c_o_o: produc1838469673_c_o_o > set_Pr1933985801_c_o_o > $o ).

thf(func_def_700,type,
    member1680325597nres_a: produc699795910nres_a > set_Pr1361202684nres_a > $o ).

thf(func_def_701,type,
    member100096605nres_c: produc1267050566nres_c > set_Pr134917244nres_c > $o ).

thf(func_def_702,type,
    member369653087nres_b: produc1536607048nres_b > set_Pr1815766654nres_b > $o ).

thf(func_def_703,type,
    member936907743nres_d: produc2103861704nres_d > set_Pr589481214nres_d > $o ).

thf(func_def_704,type,
    member1010099668_a_c_c: product_prod_a_a_c_c > set_Pr1234209675_a_c_c > $o ).

thf(func_def_705,type,
    member228973321nres_c: produc1716397554nres_c > set_Pr584391464nres_c > $o ).

thf(func_def_706,type,
    member2139143049nres_d: produc1479083634nres_d > set_Pr1413987240nres_d > $o ).

thf(func_def_707,type,
    member2086976541nres_c: produc1106446854nres_c > set_Pr979578428nres_c > $o ).

thf(func_def_708,type,
    member209049375nres_b: produc1376003336nres_b > set_Pr512944190nres_b > $o ).

thf(func_def_709,type,
    member776304031nres_d: produc1943257992nres_d > set_Pr1434142398nres_d > $o ).

thf(func_def_710,type,
    member318002145nres_a: produc1484956106nres_a > set_Pr890971136nres_a > $o ).

thf(func_def_711,type,
    member885256801nres_c: produc2052210762nres_c > set_Pr1812169344nres_c > $o ).

thf(func_def_712,type,
    member994209571nres_b: produc13679884nres_b > set_Pr42712642nres_b > $o ).

thf(func_def_713,type,
    member55945296od_o_o: product_prod_o_o > set_Product_prod_o_o > $o ).

thf(func_def_714,type,
    member776767074nt_int: product_prod_int_int > set_Pr1858794777nt_int > $o ).

thf(func_def_715,type,
    member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).

thf(func_def_716,type,
    member1468928819nres_a: produc1609974940nres_a > set_Pr384614482nres_a > $o ).

thf(func_def_717,type,
    member1600573749nres_c: produc1741619870nres_c > set_Pr1128439124nres_c > $o ).

thf(func_def_718,type,
    member1446466291nres_b: produc1587512412nres_b > set_Pr896671762nres_b > $o ).

thf(func_def_719,type,
    member1578111221nres_d: produc1719157342nres_d > set_Pr1640496404nres_d > $o ).

thf(func_def_720,type,
    member1292358833nres_a: produc1433404954nres_a > set_Pr664904400nres_a > $o ).

thf(func_def_721,type,
    member1424003763nres_c: produc1565049884nres_c > set_Pr1408729042nres_c > $o ).

thf(func_def_722,type,
    member1269896305nres_b: produc1410942426nres_b > set_Pr1176961680nres_b > $o ).

thf(func_def_723,type,
    member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).

thf(func_def_724,type,
    member466432594od_a_c: product_prod_a_c > set_Product_prod_a_c > $o ).

thf(func_def_725,type,
    member1302463506od_b_d: product_prod_b_d > set_Product_prod_b_d > $o ).

thf(func_def_726,type,
    r1: set_Product_prod_a_c ).

thf(func_def_727,type,
    r2: set_Product_prod_b_d ).

thf(func_def_742,type,
    sK0: ( produc2103861704nres_d > $o ) > c > refine449204144nres_d ).

thf(func_def_743,type,
    sK1: ( produc2103861704nres_d > $o ) > a > refine432681134nres_b ).

thf(func_def_744,type,
    sK2: ( product_prod_a_c > $o ) > c ).

thf(func_def_745,type,
    sK3: ( product_prod_a_c > $o ) > a ).

thf(func_def_746,type,
    sK4: ( produc2103861704nres_d > $o ) > a > refine432681134nres_b ).

thf(func_def_747,type,
    sK5: ( produc2103861704nres_d > $o ) > c > refine449204144nres_d ).

thf(func_def_748,type,
    sK6: product_prod_a_c > c ).

thf(func_def_749,type,
    sK7: product_prod_a_c > a ).

thf(func_def_750,type,
    sK8: ( product_prod_a_c > $o ) > a ).

thf(func_def_751,type,
    sK9: ( product_prod_a_c > $o ) > c ).

thf(func_def_752,type,
    sK10: product_prod_a_c > a ).

thf(func_def_753,type,
    sK11: product_prod_a_c > c ).

thf(func_def_754,type,
    sK12: set_Product_prod_a_c > ( a > refine432681134nres_b ) > ( c > refine449204144nres_d ) > set_Pr1640496404nres_d > c ).

thf(func_def_755,type,
    sK13: set_Product_prod_a_c > ( a > refine432681134nres_b ) > ( c > refine449204144nres_d ) > set_Pr1640496404nres_d > a ).

thf(func_def_756,type,
    sK14: produc2103861704nres_d > a > refine432681134nres_b ).

thf(func_def_757,type,
    sK15: produc2103861704nres_d > c > refine449204144nres_d ).

thf(func_def_758,type,
    sK16: produc2103861704nres_d > a > refine432681134nres_b ).

thf(func_def_759,type,
    sK17: produc2103861704nres_d > c > refine449204144nres_d ).

thf(func_def_761,type,
    ph19: 
      !>[X0: $tType] : X0 ).

thf(f1037,plain,
    $false,
    inference(subsumption_resolution,[],[f1036,f1029]) ).

thf(f1029,plain,
    ! [X0: set_Product_prod_a_c,X1: set_Product_prod_b_d] :
      ( ( 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 ) ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f1011]) ).

thf(f1011,plain,
    ! [X0: set_Product_prod_a_c,X1: set_Product_prod_b_d] :
      ( ( 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 ) ) ) )
      = $true ),
    inference(definition_unfolding,[],[f990,f992,f986,f989,f979,f1003,f1003]) ).

thf(f1003,plain,
    ( relAPP1313094511nres_d
    = ( ^ [Y0: set_Product_prod_b_d > set_Pr1640496404nres_d] : Y0 ) ),
    inference(cnf_transformation,[],[f483]) ).

thf(f483,plain,
    ( relAPP1313094511nres_d
    = ( ^ [Y0: set_Product_prod_b_d > set_Pr1640496404nres_d] : Y0 ) ),
    inference(fool_elimination,[],[f482]) ).

thf(f482,plain,
    ( ( ^ [X0: set_Product_prod_b_d > set_Pr1640496404nres_d] : X0 )
    = relAPP1313094511nres_d ),
    inference(rectify,[],[f183]) ).

thf(f183,axiom,
    ( ( ^ [X10: set_Product_prod_b_d > set_Pr1640496404nres_d] : X10 )
    = relAPP1313094511nres_d ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_relAPP__def) ).

thf(f979,plain,
    ( relAPP1270454529nres_d
    = ( ^ [Y0: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] : Y0 ) ),
    inference(cnf_transformation,[],[f795]) ).

thf(f795,plain,
    ( relAPP1270454529nres_d
    = ( ^ [Y0: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] : Y0 ) ),
    inference(fool_elimination,[],[f794]) ).

thf(f794,plain,
    ( relAPP1270454529nres_d
    = ( ^ [X0: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] : X0 ) ),
    inference(rectify,[],[f185]) ).

thf(f185,axiom,
    ( relAPP1270454529nres_d
    = ( ^ [X10: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] : X10 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_184_relAPP__def) ).

thf(f989,plain,
    ( relAPP98076839nres_d
    = ( ^ [Y0: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] : Y0 ) ),
    inference(cnf_transformation,[],[f893]) ).

thf(f893,plain,
    ( relAPP98076839nres_d
    = ( ^ [Y0: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] : Y0 ) ),
    inference(fool_elimination,[],[f892]) ).

thf(f892,plain,
    ( ( ^ [X0: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] : X0 )
    = relAPP98076839nres_d ),
    inference(rectify,[],[f182]) ).

thf(f182,axiom,
    ( ( ^ [X10: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] : X10 )
    = relAPP98076839nres_d ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_181_relAPP__def) ).

thf(f986,plain,
    ( relAPP527276399nres_c
    = ( ^ [Y0: set_Product_prod_a_c > set_Pr1128439124nres_c] : Y0 ) ),
    inference(cnf_transformation,[],[f611]) ).

thf(f611,plain,
    ( relAPP527276399nres_c
    = ( ^ [Y0: set_Product_prod_a_c > set_Pr1128439124nres_c] : Y0 ) ),
    inference(fool_elimination,[],[f610]) ).

thf(f610,plain,
    ( relAPP527276399nres_c
    = ( ^ [X0: set_Product_prod_a_c > set_Pr1128439124nres_c] : X0 ) ),
    inference(rectify,[],[f184]) ).

thf(f184,axiom,
    ( relAPP527276399nres_c
    = ( ^ [X10: set_Product_prod_a_c > set_Pr1128439124nres_c] : X10 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_183_relAPP__def) ).

thf(f992,plain,
    ( relAPP511982311nres_d
    = ( ^ [Y0: set_Pr797615136nres_d > set_Pr24800800nres_d] : Y0 ) ),
    inference(cnf_transformation,[],[f563]) ).

thf(f563,plain,
    ( relAPP511982311nres_d
    = ( ^ [Y0: set_Pr797615136nres_d > set_Pr24800800nres_d] : Y0 ) ),
    inference(fool_elimination,[],[f562]) ).

thf(f562,plain,
    ( relAPP511982311nres_d
    = ( ^ [X0: set_Pr797615136nres_d > set_Pr24800800nres_d] : X0 ) ),
    inference(rectify,[],[f181]) ).

thf(f181,axiom,
    ( relAPP511982311nres_d
    = ( ^ [X10: set_Pr797615136nres_d > set_Pr24800800nres_d] : X10 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_relAPP__def) ).

thf(f990,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,[],[f781]) ).

thf(f781,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,[],[f780]) ).

thf(f780,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(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/sandbox/benchmark/theBenchmark.p',fact_4_param__bind) ).

thf(f1036,plain,
    ( ( 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 ) ) ) )
   != $true ),
    inference(beta_eta_normalization,[],[f1007]) ).

thf(f1007,plain,
    ( ( 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 ) ) ) )
   != $true ),
    inference(definition_unfolding,[],[f969,f992,f986,f989,f979,f1003,f1003]) ).

thf(f969,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,[],[f912]) ).

thf(f912,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,[],[f409]) ).

thf(f409,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,[],[f408]) ).

thf(f408,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(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,[],[f351]) ).

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/sandbox/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ITP160^1 : TPTP v8.2.0. Released v7.5.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 15:28:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_EQU_NAR problem
% 0.14/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42  % (13882)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.42  % (13880)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.42  % (13881)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.21/0.42  % (13879)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.42  % (13883)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.42  % (13884)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.21/0.43  % (13885)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.43  % (13886)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.43  % (13882)Instruction limit reached!
% 0.21/0.43  % (13882)------------------------------
% 0.21/0.43  % (13882)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (13882)Termination reason: Unknown
% 0.21/0.43  % (13882)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (13882)Memory used [KB]: 2174
% 0.21/0.43  % (13883)Instruction limit reached!
% 0.21/0.43  % (13883)------------------------------
% 0.21/0.43  % (13883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (13883)Termination reason: Unknown
% 0.21/0.43  % (13883)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (13883)Memory used [KB]: 2174
% 0.21/0.43  % (13883)Time elapsed: 0.004 s
% 0.21/0.43  % (13883)Instructions burned: 3 (million)
% 0.21/0.43  % (13883)------------------------------
% 0.21/0.43  % (13883)------------------------------
% 0.21/0.43  % (13882)Time elapsed: 0.004 s
% 0.21/0.43  % (13882)Instructions burned: 3 (million)
% 0.21/0.43  % (13882)------------------------------
% 0.21/0.43  % (13882)------------------------------
% 0.21/0.43  % (13886)Instruction limit reached!
% 0.21/0.43  % (13886)------------------------------
% 0.21/0.43  % (13886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (13886)Termination reason: Unknown
% 0.21/0.43  % (13886)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (13886)Memory used [KB]: 2174
% 0.21/0.43  % (13886)Time elapsed: 0.004 s
% 0.21/0.43  % (13886)Instructions burned: 3 (million)
% 0.21/0.43  % (13886)------------------------------
% 0.21/0.43  % (13886)------------------------------
% 0.21/0.43  % (13880)Instruction limit reached!
% 0.21/0.43  % (13880)------------------------------
% 0.21/0.43  % (13880)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (13880)Termination reason: Unknown
% 0.21/0.43  % (13880)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (13880)Memory used [KB]: 2302
% 0.21/0.43  % (13880)Time elapsed: 0.005 s
% 0.21/0.43  % (13880)Instructions burned: 4 (million)
% 0.21/0.43  % (13880)------------------------------
% 0.21/0.43  % (13880)------------------------------
% 0.21/0.44  % (13885)Instruction limit reached!
% 0.21/0.44  % (13885)------------------------------
% 0.21/0.44  % (13885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (13885)Termination reason: Unknown
% 0.21/0.44  % (13885)Termination phase: shuffling
% 0.21/0.44  
% 0.21/0.44  % (13885)Memory used [KB]: 2558
% 0.21/0.44  % (13885)Time elapsed: 0.014 s
% 0.21/0.44  % (13885)Instructions burned: 19 (million)
% 0.21/0.44  % (13885)------------------------------
% 0.21/0.44  % (13885)------------------------------
% 0.21/0.44  % (13881)Instruction limit reached!
% 0.21/0.44  % (13881)------------------------------
% 0.21/0.44  % (13881)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (13881)Termination reason: Unknown
% 0.21/0.44  % (13881)Termination phase: shuffling
% 0.21/0.44  
% 0.21/0.44  % (13881)Memory used [KB]: 2558
% 0.21/0.44  % (13881)Time elapsed: 0.019 s
% 0.21/0.44  % (13881)Instructions burned: 27 (million)
% 0.21/0.44  % (13881)------------------------------
% 0.21/0.44  % (13881)------------------------------
% 0.21/0.44  % (13887)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.44  % (13888)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.44  % (13889)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.44  % (13890)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.45  % (13889)Instruction limit reached!
% 0.21/0.45  % (13889)------------------------------
% 0.21/0.45  % (13889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (13889)Termination reason: Unknown
% 0.21/0.45  % (13889)Termination phase: shuffling
% 0.21/0.45  
% 0.21/0.45  % (13889)Memory used [KB]: 2174
% 0.21/0.45  % (13889)Time elapsed: 0.004 s
% 0.21/0.45  % (13889)Instructions burned: 3 (million)
% 0.21/0.45  % (13889)------------------------------
% 0.21/0.45  % (13889)------------------------------
% 0.21/0.45  % (13891)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.45  % (13888)Instruction limit reached!
% 0.21/0.45  % (13888)------------------------------
% 0.21/0.45  % (13888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (13888)Termination reason: Unknown
% 0.21/0.45  % (13888)Termination phase: shuffling
% 0.21/0.45  
% 0.21/0.45  % (13888)Memory used [KB]: 2558
% 0.21/0.45  % (13888)Time elapsed: 0.012 s
% 0.21/0.45  % (13888)Instructions burned: 16 (million)
% 0.21/0.45  % (13888)------------------------------
% 0.21/0.45  % (13888)------------------------------
% 0.21/0.46  % (13892)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.46  % (13891)Instruction limit reached!
% 0.21/0.46  % (13891)------------------------------
% 0.21/0.46  % (13891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (13891)Termination reason: Unknown
% 0.21/0.46  % (13891)Termination phase: shuffling
% 0.21/0.46  
% 0.21/0.46  % (13891)Memory used [KB]: 2302
% 0.21/0.46  % (13891)Time elapsed: 0.007 s
% 0.21/0.46  % (13891)Instructions burned: 8 (million)
% 0.21/0.46  % (13891)------------------------------
% 0.21/0.46  % (13891)------------------------------
% 0.21/0.46  % (13893)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.46  % (13887)Instruction limit reached!
% 0.21/0.46  % (13887)------------------------------
% 0.21/0.46  % (13887)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (13887)Termination reason: Unknown
% 0.21/0.46  % (13887)Termination phase: shuffling
% 0.21/0.46  
% 0.21/0.46  % (13887)Memory used [KB]: 3070
% 0.21/0.46  % (13887)Time elapsed: 0.022 s
% 0.21/0.46  % (13887)Instructions burned: 38 (million)
% 0.21/0.46  % (13887)------------------------------
% 0.21/0.46  % (13887)------------------------------
% 0.21/0.46  % (13893)Instruction limit reached!
% 0.21/0.46  % (13893)------------------------------
% 0.21/0.46  % (13893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (13893)Termination reason: Unknown
% 0.21/0.46  % (13893)Termination phase: shuffling
% 0.21/0.46  
% 0.21/0.46  % (13893)Memory used [KB]: 2174
% 0.21/0.46  % (13893)Time elapsed: 0.004 s
% 0.21/0.46  % (13893)Instructions burned: 3 (million)
% 0.21/0.46  % (13893)------------------------------
% 0.21/0.46  % (13893)------------------------------
% 0.21/0.47  % (13892)Instruction limit reached!
% 0.21/0.47  % (13892)------------------------------
% 0.21/0.47  % (13892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47  % (13892)Termination reason: Unknown
% 0.21/0.47  % (13892)Termination phase: shuffling
% 0.21/0.47  
% 0.21/0.47  % (13892)Memory used [KB]: 2558
% 0.21/0.47  % (13892)Time elapsed: 0.012 s
% 0.21/0.47  % (13892)Instructions burned: 16 (million)
% 0.21/0.47  % (13892)------------------------------
% 0.21/0.47  % (13892)------------------------------
% 0.21/0.47  % (13894)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.47  % (13894)Instruction limit reached!
% 0.21/0.47  % (13894)------------------------------
% 0.21/0.47  % (13894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47  % (13894)Termination reason: Unknown
% 0.21/0.47  % (13894)Termination phase: shuffling
% 0.21/0.47  
% 0.21/0.47  % (13894)Memory used [KB]: 2174
% 0.21/0.47  % (13894)Time elapsed: 0.004 s
% 0.21/0.47  % (13894)Instructions burned: 3 (million)
% 0.21/0.47  % (13894)------------------------------
% 0.21/0.47  % (13894)------------------------------
% 0.21/0.47  % (13895)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.21/0.48  % (13895)Instruction limit reached!
% 0.21/0.48  % (13895)------------------------------
% 0.21/0.48  % (13895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48  % (13895)Termination reason: Unknown
% 0.21/0.48  % (13895)Termination phase: shuffling
% 0.21/0.48  
% 0.21/0.48  % (13895)Memory used [KB]: 2302
% 0.21/0.48  % (13895)Time elapsed: 0.006 s
% 0.21/0.48  % (13895)Instructions burned: 7 (million)
% 0.21/0.48  % (13895)------------------------------
% 0.21/0.48  % (13895)------------------------------
% 0.21/0.48  % (13896)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.48  % (13897)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 0.21/0.48  % (13896)Instruction limit reached!
% 0.21/0.48  % (13896)------------------------------
% 0.21/0.48  % (13896)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48  % (13896)Termination reason: Unknown
% 0.21/0.48  % (13896)Termination phase: shuffling
% 0.21/0.48  
% 0.21/0.48  % (13896)Memory used [KB]: 2302
% 0.21/0.48  % (13896)Time elapsed: 0.004 s
% 0.21/0.48  % (13896)Instructions burned: 4 (million)
% 0.21/0.48  % (13896)------------------------------
% 0.21/0.48  % (13896)------------------------------
% 0.21/0.48  % (13884)First to succeed.
% 0.21/0.48  % (13897)Instruction limit reached!
% 0.21/0.48  % (13897)------------------------------
% 0.21/0.48  % (13897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48  % (13897)Termination reason: Unknown
% 0.21/0.48  % (13897)Termination phase: shuffling
% 0.21/0.48  
% 0.21/0.48  % (13897)Memory used [KB]: 2302
% 0.21/0.48  % (13897)Time elapsed: 0.005 s
% 0.21/0.48  % (13897)Instructions burned: 5 (million)
% 0.21/0.48  % (13897)------------------------------
% 0.21/0.48  % (13897)------------------------------
% 0.21/0.48  % (13898)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.21/0.49  % (13899)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2998ds/710Mi)
% 0.21/0.49  % (13884)Refutation found. Thanks to Tanya!
% 0.21/0.49  % SZS status Theorem for theBenchmark
% 0.21/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49  % (13884)------------------------------
% 0.21/0.49  % (13884)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49  % (13884)Termination reason: Refutation
% 0.21/0.49  
% 0.21/0.49  % (13884)Memory used [KB]: 7675
% 0.21/0.49  % (13884)Time elapsed: 0.063 s
% 0.21/0.49  % (13884)Instructions burned: 93 (million)
% 0.21/0.49  % (13884)------------------------------
% 0.21/0.49  % (13884)------------------------------
% 0.21/0.49  % (13878)Success in time 0.131 s
% 0.21/0.49  % Vampire---4.8 exiting
%------------------------------------------------------------------------------