%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP160^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:24:25 AM UTC 2026
% Result : Theorem 4.30s 0.94s
% Output : CNFRefutation 4.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 74 ( 74 unt; 0 typ; 0 def)
% Number of atoms : 202 ( 125 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 355 ( 2 ~; 0 |; 0 &; 353 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Number of types : 188 ( 187 usr)
% Number of type conns : 85 ( 85 >; 0 *; 0 +; 0 <<)
% Number of symbols : 544 ( 541 usr; 25 con; 0-5 aty)
% Number of variables : 101 ( 20 ^; 81 !; 0 ?; 101 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_autoref_annot,type,
autoref_annot: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_c,type,
c: $tType ).
thf(tp_d,type,
d: $tType ).
thf(tp_int,type,
int: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_produc1039600167_o_o_o,type,
produc1039600167_o_o_o: $tType ).
thf(tp_produc1106446854nres_c,type,
produc1106446854nres_c: $tType ).
thf(tp_produc1144174441_nat_c,type,
produc1144174441_nat_c: $tType ).
thf(tp_produc1174115751_nat_o,type,
produc1174115751_nat_o: $tType ).
thf(tp_produc1267050566nres_c,type,
produc1267050566nres_c: $tType ).
thf(tp_produc1281043295at_nat,type,
produc1281043295at_nat: $tType ).
thf(tp_produc1298363114nres_a,type,
produc1298363114nres_a: $tType ).
thf(tp_produc1314004473_nat_o,type,
produc1314004473_nat_o: $tType ).
thf(tp_produc13679884nres_b,type,
produc13679884nres_b: $tType ).
thf(tp_produc1376003336nres_b,type,
produc1376003336nres_b: $tType ).
thf(tp_produc1389674519nt_nat,type,
produc1389674519nt_nat: $tType ).
thf(tp_produc1410942426nres_b,type,
produc1410942426nres_b: $tType ).
thf(tp_produc1433404954nres_a,type,
produc1433404954nres_a: $tType ).
thf(tp_produc1479083634nres_d,type,
produc1479083634nres_d: $tType ).
thf(tp_produc1484956106nres_a,type,
produc1484956106nres_a: $tType ).
thf(tp_produc1530265066nres_b,type,
produc1530265066nres_b: $tType ).
thf(tp_produc1536607048nres_b,type,
produc1536607048nres_b: $tType ).
thf(tp_produc1545802474nres_c,type,
produc1545802474nres_c: $tType ).
thf(tp_produc1565049884nres_c,type,
produc1565049884nres_c: $tType ).
thf(tp_produc1581500522nres_c,type,
produc1581500522nres_c: $tType ).
thf(tp_produc1587512412nres_b,type,
produc1587512412nres_b: $tType ).
thf(tp_produc1609974940nres_a,type,
produc1609974940nres_a: $tType ).
thf(tp_produc1616993579_int_o,type,
produc1616993579_int_o: $tType ).
thf(tp_produc1620501479_int_o,type,
produc1620501479_int_o: $tType ).
thf(tp_produc1677145714nres_d,type,
produc1677145714nres_d: $tType ).
thf(tp_produc1716397554nres_c,type,
produc1716397554nres_c: $tType ).
thf(tp_produc1719157342nres_d,type,
produc1719157342nres_d: $tType ).
thf(tp_produc1741619870nres_c,type,
produc1741619870nres_c: $tType ).
thf(tp_produc1757587562nres_d,type,
produc1757587562nres_d: $tType ).
thf(tp_produc1769036905_int_c,type,
produc1769036905_int_c: $tType ).
thf(tp_produc1811455466nres_c,type,
produc1811455466nres_c: $tType ).
thf(tp_produc1834705330nres_d,type,
produc1834705330nres_d: $tType ).
thf(tp_produc1838469673_c_o_o,type,
produc1838469673_c_o_o: $tType ).
thf(tp_produc1839156403_o_o_o,type,
produc1839156403_o_o_o: $tType ).
thf(tp_produc1869490410nres_b,type,
produc1869490410nres_b: $tType ).
thf(tp_produc1914459634nres_c,type,
produc1914459634nres_c: $tType ).
thf(tp_produc1943257992nres_d,type,
produc1943257992nres_d: $tType ).
thf(tp_produc1991839847_o_nat,type,
produc1991839847_o_nat: $tType ).
thf(tp_produc2007659370nres_d,type,
produc2007659370nres_d: $tType ).
thf(tp_produc2043357418nres_d,type,
produc2043357418nres_d: $tType ).
thf(tp_produc2052210762nres_c,type,
produc2052210762nres_c: $tType ).
thf(tp_produc2056997417_o_o_c,type,
produc2056997417_o_o_c: $tType ).
thf(tp_produc2103861704nres_d,type,
produc2103861704nres_d: $tType ).
thf(tp_produc235099114nres_d,type,
produc235099114nres_d: $tType ).
thf(tp_produc416848975_nat_o,type,
produc416848975_nat_o: $tType ).
thf(tp_produc426758977nt_o_o,type,
produc426758977nt_o_o: $tType ).
thf(tp_produc46704423_o_o_o,type,
produc46704423_o_o_o: $tType ).
thf(tp_produc480790439_int_o,type,
produc480790439_int_o: $tType ).
thf(tp_produc482595465at_o_o,type,
produc482595465at_o_o: $tType ).
thf(tp_produc496448427nt_o_o,type,
produc496448427nt_o_o: $tType ).
thf(tp_produc610583575at_int,type,
produc610583575at_int: $tType ).
thf(tp_produc699795910nres_a,type,
produc699795910nres_a: $tType ).
thf(tp_produc719214799nt_int,type,
produc719214799nt_int: $tType ).
thf(tp_produc724473255_nat_o,type,
produc724473255_nat_o: $tType ).
thf(tp_produc809931564nres_d,type,
produc809931564nres_d: $tType ).
thf(tp_produc819780758nres_d,type,
produc819780758nres_d: $tType ).
thf(tp_produc878596327_nat_o,type,
produc878596327_nat_o: $tType ).
thf(tp_produc922271079_o_int,type,
produc922271079_o_int: $tType ).
thf(tp_produc96971890nres_b,type,
produc96971890nres_b: $tType ).
thf(tp_product_prod_a_a,type,
product_prod_a_a: $tType ).
thf(tp_product_prod_a_a_c_c,type,
product_prod_a_a_c_c: $tType ).
thf(tp_product_prod_a_c,type,
product_prod_a_c: $tType ).
thf(tp_product_prod_b_d,type,
product_prod_b_d: $tType ).
thf(tp_product_prod_int_int,type,
product_prod_int_int: $tType ).
thf(tp_product_prod_nat_nat,type,
product_prod_nat_nat: $tType ).
thf(tp_product_prod_o_a_o_c,type,
product_prod_o_a_o_c: $tType ).
thf(tp_product_prod_o_o,type,
product_prod_o_o: $tType ).
thf(tp_product_prod_o_o_o_o,type,
product_prod_o_o_o_o: $tType ).
thf(tp_refine116648739nres_d,type,
refine116648739nres_d: $tType ).
thf(tp_refine1696877731nres_b,type,
refine1696877731nres_b: $tType ).
thf(tp_refine424419629nres_a,type,
refine424419629nres_a: $tType ).
thf(tp_refine432681134nres_b,type,
refine432681134nres_b: $tType ).
thf(tp_refine440942639nres_c,type,
refine440942639nres_c: $tType ).
thf(tp_refine449204144nres_d,type,
refine449204144nres_d: $tType ).
thf(tp_set_Pr1006121889nt_o_o,type,
set_Pr1006121889nt_o_o: $tType ).
thf(tp_set_Pr1052763806nres_b,type,
set_Pr1052763806nres_b: $tType ).
thf(tp_set_Pr1125433775_nat_o,type,
set_Pr1125433775_nat_o: $tType ).
thf(tp_set_Pr1128439124nres_c,type,
set_Pr1128439124nres_c: $tType ).
thf(tp_set_Pr1146978466nres_d,type,
set_Pr1146978466nres_d: $tType ).
thf(tp_set_Pr1176961680nres_b,type,
set_Pr1176961680nres_b: $tType ).
thf(tp_set_Pr119249666nres_d,type,
set_Pr119249666nres_d: $tType ).
thf(tp_set_Pr1234209675_a_c_c,type,
set_Pr1234209675_a_c_c: $tType ).
thf(tp_set_Pr1245537056nres_c,type,
set_Pr1245537056nres_c: $tType ).
thf(tp_set_Pr1250642728nres_c,type,
set_Pr1250642728nres_c: $tType ).
thf(tp_set_Pr1320171143_int_o,type,
set_Pr1320171143_int_o: $tType ).
thf(tp_set_Pr1345535106nres_b,type,
set_Pr1345535106nres_b: $tType ).
thf(tp_set_Pr134917244nres_c,type,
set_Pr134917244nres_c: $tType ).
thf(tp_set_Pr1351316363_int_o,type,
set_Pr1351316363_int_o: $tType ).
thf(tp_set_Pr1357842111at_nat,type,
set_Pr1357842111at_nat: $tType ).
thf(tp_set_Pr1358127528nres_b,type,
set_Pr1358127528nres_b: $tType ).
thf(tp_set_Pr1361202684nres_a,type,
set_Pr1361202684nres_a: $tType ).
thf(tp_set_Pr1371175689_o_o_o,type,
set_Pr1371175689_o_o_o: $tType ).
thf(tp_set_Pr1402127136nres_b,type,
set_Pr1402127136nres_b: $tType ).
thf(tp_set_Pr1408729042nres_c,type,
set_Pr1408729042nres_c: $tType ).
thf(tp_set_Pr1413987240nres_d,type,
set_Pr1413987240nres_d: $tType ).
thf(tp_set_Pr1434142398nres_d,type,
set_Pr1434142398nres_d: $tType ).
thf(tp_set_Pr1435428853_int_o,type,
set_Pr1435428853_int_o: $tType ).
thf(tp_set_Pr1436380704nres_b,type,
set_Pr1436380704nres_b: $tType ).
thf(tp_set_Pr1437791047_o_int,type,
set_Pr1437791047_o_int: $tType ).
thf(tp_set_Pr1495585653nt_o_o,type,
set_Pr1495585653nt_o_o: $tType ).
thf(tp_set_Pr1524520971nt_o_o,type,
set_Pr1524520971nt_o_o: $tType ).
thf(tp_set_Pr1537816964nres_d,type,
set_Pr1537816964nres_d: $tType ).
thf(tp_set_Pr1575377993_int_c,type,
set_Pr1575377993_int_c: $tType ).
thf(tp_set_Pr1598501265nres_a,type,
set_Pr1598501265nres_a: $tType ).
thf(tp_set_Pr1602564423_nat_o,type,
set_Pr1602564423_nat_o: $tType ).
thf(tp_set_Pr1614046668nres_d,type,
set_Pr1614046668nres_d: $tType ).
thf(tp_set_Pr1635457468nres_a,type,
set_Pr1635457468nres_a: $tType ).
thf(tp_set_Pr1640496404nres_d,type,
set_Pr1640496404nres_d: $tType ).
thf(tp_set_Pr1652381728nres_c,type,
set_Pr1652381728nres_c: $tType ).
thf(tp_set_Pr1659864199_nat_o,type,
set_Pr1659864199_nat_o: $tType ).
thf(tp_set_Pr1673989513_c_c_c,type,
set_Pr1673989513_c_c_c: $tType ).
thf(tp_set_Pr1710101992nres_d,type,
set_Pr1710101992nres_d: $tType ).
thf(tp_set_Pr1712866168nres_d,type,
set_Pr1712866168nres_d: $tType ).
thf(tp_set_Pr1719254903nt_nat,type,
set_Pr1719254903nt_nat: $tType ).
thf(tp_set_Pr1749533559at_int,type,
set_Pr1749533559at_int: $tType ).
thf(tp_set_Pr1774281699_o_o_o,type,
set_Pr1774281699_o_o_o: $tType ).
thf(tp_set_Pr1812169344nres_c,type,
set_Pr1812169344nres_c: $tType ).
thf(tp_set_Pr1815766654nres_b,type,
set_Pr1815766654nres_b: $tType ).
thf(tp_set_Pr181592673nres_c,type,
set_Pr181592673nres_c: $tType ).
thf(tp_set_Pr1824526846nres_d,type,
set_Pr1824526846nres_d: $tType ).
thf(tp_set_Pr1830268627nres_b,type,
set_Pr1830268627nres_b: $tType ).
thf(tp_set_Pr1858794777nt_int,type,
set_Pr1858794777nt_int: $tType ).
thf(tp_set_Pr1920786322nres_d,type,
set_Pr1920786322nres_d: $tType ).
thf(tp_set_Pr1933985801_c_o_o,type,
set_Pr1933985801_c_o_o: $tType ).
thf(tp_set_Pr194842259nres_c,type,
set_Pr194842259nres_c: $tType ).
thf(tp_set_Pr1955643401_o_o_c,type,
set_Pr1955643401_o_o_c: $tType ).
thf(tp_set_Pr1986765409at_nat,type,
set_Pr1986765409at_nat: $tType ).
thf(tp_set_Pr2039330848nres_a,type,
set_Pr2039330848nres_a: $tType ).
thf(tp_set_Pr2058424041at_o_o,type,
set_Pr2058424041at_o_o: $tType ).
thf(tp_set_Pr2080238504nres_d,type,
set_Pr2080238504nres_d: $tType ).
thf(tp_set_Pr2088790547_o_o_o,type,
set_Pr2088790547_o_o_o: $tType ).
thf(tp_set_Pr2110946351nt_int,type,
set_Pr2110946351nt_int: $tType ).
thf(tp_set_Pr24800800nres_d,type,
set_Pr24800800nres_d: $tType ).
thf(tp_set_Pr310822599_nat_o,type,
set_Pr310822599_nat_o: $tType ).
thf(tp_set_Pr343524935_o_nat,type,
set_Pr343524935_o_nat: $tType ).
thf(tp_set_Pr37069423_o_c_c,type,
set_Pr37069423_o_c_c: $tType ).
thf(tp_set_Pr384614482nres_a,type,
set_Pr384614482nres_a: $tType ).
thf(tp_set_Pr404050976nres_c,type,
set_Pr404050976nres_c: $tType ).
thf(tp_set_Pr409172028nres_c,type,
set_Pr409172028nres_c: $tType ).
thf(tp_set_Pr426609621nres_d,type,
set_Pr426609621nres_d: $tType ).
thf(tp_set_Pr42712642nres_b,type,
set_Pr42712642nres_b: $tType ).
thf(tp_set_Pr436741343nres_a,type,
set_Pr436741343nres_a: $tType ).
thf(tp_set_Pr451158306nres_d,type,
set_Pr451158306nres_d: $tType ).
thf(tp_set_Pr46530663_o_c_c,type,
set_Pr46530663_o_c_c: $tType ).
thf(tp_set_Pr512944190nres_b,type,
set_Pr512944190nres_b: $tType ).
thf(tp_set_Pr524661639_nat_o,type,
set_Pr524661639_nat_o: $tType ).
thf(tp_set_Pr57594146nres_c,type,
set_Pr57594146nres_c: $tType ).
thf(tp_set_Pr584391464nres_c,type,
set_Pr584391464nres_c: $tType ).
thf(tp_set_Pr589481214nres_d,type,
set_Pr589481214nres_d: $tType ).
thf(tp_set_Pr613277282nres_d,type,
set_Pr613277282nres_d: $tType ).
thf(tp_set_Pr618353415_o_o_o,type,
set_Pr618353415_o_o_o: $tType ).
thf(tp_set_Pr642586912nres_d,type,
set_Pr642586912nres_d: $tType ).
thf(tp_set_Pr664904400nres_a,type,
set_Pr664904400nres_a: $tType ).
thf(tp_set_Pr68707591_o_o_o,type,
set_Pr68707591_o_o_o: $tType ).
thf(tp_set_Pr709440729_a_o_c,type,
set_Pr709440729_a_o_c: $tType ).
thf(tp_set_Pr766923865_nat_o,type,
set_Pr766923865_nat_o: $tType ).
thf(tp_set_Pr794589344nres_d,type,
set_Pr794589344nres_d: $tType ).
thf(tp_set_Pr797615136nres_d,type,
set_Pr797615136nres_d: $tType ).
thf(tp_set_Pr807116335_c_c_c,type,
set_Pr807116335_c_c_c: $tType ).
thf(tp_set_Pr818594592nres_b,type,
set_Pr818594592nres_b: $tType ).
thf(tp_set_Pr882593184nres_c,type,
set_Pr882593184nres_c: $tType ).
thf(tp_set_Pr890971136nres_a,type,
set_Pr890971136nres_a: $tType ).
thf(tp_set_Pr896671762nres_b,type,
set_Pr896671762nres_b: $tType ).
thf(tp_set_Pr933902153_nat_c,type,
set_Pr933902153_nat_c: $tType ).
thf(tp_set_Pr934623755_o_o_o,type,
set_Pr934623755_o_o_o: $tType ).
thf(tp_set_Pr94755271_int_o,type,
set_Pr94755271_int_o: $tType ).
thf(tp_set_Pr979578428nres_c,type,
set_Pr979578428nres_c: $tType ).
thf(tp_set_Product_prod_a_a,type,
set_Product_prod_a_a: $tType ).
thf(tp_set_Product_prod_a_b,type,
set_Product_prod_a_b: $tType ).
thf(tp_set_Product_prod_a_c,type,
set_Product_prod_a_c: $tType ).
thf(tp_set_Product_prod_a_d,type,
set_Product_prod_a_d: $tType ).
thf(tp_set_Product_prod_b_a,type,
set_Product_prod_b_a: $tType ).
thf(tp_set_Product_prod_b_b,type,
set_Product_prod_b_b: $tType ).
thf(tp_set_Product_prod_b_c,type,
set_Product_prod_b_c: $tType ).
thf(tp_set_Product_prod_b_d,type,
set_Product_prod_b_d: $tType ).
thf(tp_set_Product_prod_c_a,type,
set_Product_prod_c_a: $tType ).
thf(tp_set_Product_prod_c_c,type,
set_Product_prod_c_c: $tType ).
thf(tp_set_Product_prod_d_b,type,
set_Product_prod_d_b: $tType ).
thf(tp_set_Product_prod_d_d,type,
set_Product_prod_d_d: $tType ).
thf(tp_set_Product_prod_o_o,type,
set_Product_prod_o_o: $tType ).
thf(tp_all_interval_nat,type,
all_interval_nat: ( nat > $o ) > nat > nat > $o ).
thf(tp_autore1079756534nt_o_o,type,
autore1079756534nt_o_o: set_Pr1524520971nt_o_o > autoref_annot ).
thf(tp_autore1101499084_int_o,type,
autore1101499084_int_o: ( int > ( int > int > $o ) > int > $o ) > int > ( int > int > $o ) > int > $o ).
thf(tp_autore1113312320RNAL_o,type,
autore1113312320RNAL_o: $o > $o ).
thf(tp_autore1121250093nres_d,type,
autore1121250093nres_d: ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > d > ( d > refine449204144nres_d ) > refine449204144nres_d ).
thf(tp_autore112221708nt_o_o,type,
autore112221708nt_o_o: ( int > ( int > $o ) > $o ) > int > ( int > $o ) > $o ).
thf(tp_autore113191276nres_c,type,
autore113191276nres_c: ( d > refine440942639nres_c ) > d > refine440942639nres_c ).
thf(tp_autore1153274959nt_o_o,type,
autore1153274959nt_o_o: ( int > ( int > $o ) > $o ) > autoref_annot > int > ( int > $o ) > $o ).
thf(tp_autore1156652217_int_o,type,
autore1156652217_int_o: ( ( int > int > $o ) > int > $o ) > ( int > int > $o ) > int > $o ).
thf(tp_autore1159379066nres_d,type,
autore1159379066nres_d: ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(tp_autore121452781nres_d,type,
autore121452781nres_d: ( d > refine449204144nres_d ) > d > refine449204144nres_d ).
thf(tp_autore1290907938nres_b,type,
autore1290907938nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > autoref_annot > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_autore1294268534_int_o,type,
autore1294268534_int_o: set_Pr1351316363_int_o > autoref_annot ).
thf(tp_autore1318775848nres_b,type,
autore1318775848nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > $o ).
thf(tp_autore1319416560_nat_o,type,
autore1319416560_nat_o: ( ( nat > $o ) > nat > nat > $o ) > ( ( nat > $o ) > nat > nat > $o ) > $o ).
thf(tp_autore1360171649nres_b,type,
autore1360171649nres_b: ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > $o ).
thf(tp_autore1382402919nres_a,type,
autore1382402919nres_a: ( a > refine424419629nres_a ) > a > refine424419629nres_a ).
thf(tp_autore1390664424nres_b,type,
autore1390664424nres_b: ( a > refine432681134nres_b ) > a > refine432681134nres_b ).
thf(tp_autore1422848225_c_c_c,type,
autore1422848225_c_c_c: ( c > ( c > c ) > c ) > autoref_annot > c > ( c > c ) > c ).
thf(tp_autore1424734926_o_o_o,type,
autore1424734926_o_o_o: set_Pr1774281699_o_o_o > autoref_annot ).
thf(tp_autore1505592162nres_d,type,
autore1505592162nres_d: ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > autoref_annot > d > ( d > refine449204144nres_d ) > refine449204144nres_d ).
thf(tp_autore1545784985nres_c,type,
autore1545784985nres_c: set_Pr1250642728nres_c > autoref_annot ).
thf(tp_autore1551339569_int_o,type,
autore1551339569_int_o: ( int > int > $o ) > int > int > $o ).
thf(tp_autore1554881264_o_o_o,type,
autore1554881264_o_o_o: ( c > ( c > $o > $o ) > $o > $o ) > c > ( c > $o > $o ) > $o > $o ).
thf(tp_autore16598297nres_b,type,
autore16598297nres_b: set_Pr1358127528nres_b > autoref_annot ).
thf(tp_autore1667378628nt_o_o,type,
autore1667378628nt_o_o: ( int > ( int > $o ) > $o ) > int > ( int > $o ) > $o ).
thf(tp_autore1669652584nres_a,type,
autore1669652584nres_a: ( b > refine424419629nres_a ) > b > refine424419629nres_a ).
thf(tp_autore1677914089nres_b,type,
autore1677914089nres_b: ( b > refine432681134nres_b ) > b > refine432681134nres_b ).
thf(tp_autore1683160729nres_c,type,
autore1683160729nres_c: set_Pr584391464nres_c > autoref_annot ).
thf(tp_autore1733926270_o_c_c,type,
autore1733926270_o_c_c: ( ( $o > $o ) > ( ( $o > $o ) > c ) > c ) > ( $o > $o ) > ( ( $o > $o ) > c ) > c ).
thf(tp_autore1757597947_o_o_o,type,
autore1757597947_o_o_o: ( c > ( c > $o > $o ) > $o > $o ) > autoref_annot > c > ( c > $o > $o ) > $o > $o ).
thf(tp_autore1769540484_int_o,type,
autore1769540484_int_o: ( int > ( int > int > $o ) > int > $o ) > int > ( int > int > $o ) > int > $o ).
thf(tp_autore1836202733nres_c,type,
autore1836202733nres_c: ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > d > ( d > refine440942639nres_c ) > refine440942639nres_c ).
thf(tp_autore1861331824_o_o_o,type,
autore1861331824_o_o_o: ( c > ( c > $o > $o ) > $o > $o ) > c > ( c > $o > $o ) > $o > $o ).
thf(tp_autore1880283407_int_o,type,
autore1880283407_int_o: ( int > ( int > int > $o ) > int > $o ) > autoref_annot > int > ( int > int > $o ) > int > $o ).
thf(tp_autore1883416521EQ_o_o,type,
autore1883416521EQ_o_o: ( $o > $o ) > ( $o > $o ) > $o ).
thf(tp_autore1904863386L_EQ_a,type,
autore1904863386L_EQ_a: a > a > $o ).
thf(tp_autore1973425259nres_c,type,
autore1973425259nres_c: ( c > refine440942639nres_c ) > c > refine440942639nres_c ).
thf(tp_autore1981686764nres_d,type,
autore1981686764nres_d: ( c > refine449204144nres_d ) > c > refine449204144nres_d ).
thf(tp_autore1989911767nres_c,type,
autore1989911767nres_c: ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > d > ( d > refine440942639nres_c ) > refine440942639nres_c ).
thf(tp_autore2004709357nres_d,type,
autore2004709357nres_d: ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(tp_autore2084714426nres_c,type,
autore2084714426nres_c: ( ( c > refine440942639nres_c ) > refine440942639nres_c ) > ( c > refine440942639nres_c ) > refine440942639nres_c ).
thf(tp_autore224164375nres_c,type,
autore224164375nres_c: ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > c > ( c > refine440942639nres_c ) > refine440942639nres_c ).
thf(tp_autore233619284nres_b,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(tp_autore241567778nres_d,type,
autore241567778nres_d: ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > autoref_annot > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(tp_autore331323266_nat_o,type,
autore331323266_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(tp_autore349294361nres_d,type,
autore349294361nres_d: set_Pr2080238504nres_d > autoref_annot ).
thf(tp_autore38794169nres_d,type,
autore38794169nres_d: ( ( d > refine449204144nres_d ) > refine449204144nres_d ) > ( d > refine449204144nres_d ) > refine449204144nres_d ).
thf(tp_autore425620682_int_o,type,
autore425620682_int_o: ( int > int > $o ) > ( int > int > $o ) > $o ).
thf(tp_autore430131799nres_d,type,
autore430131799nres_d: ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(tp_autore464253722_c_c_c,type,
autore464253722_c_c_c: set_Pr807116335_c_c_c > autoref_annot ).
thf(tp_autore48395543nres_d,type,
autore48395543nres_d: ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > d > ( d > refine449204144nres_d ) > refine449204144nres_d ).
thf(tp_autore486670105nres_d,type,
autore486670105nres_d: set_Pr1413987240nres_d > autoref_annot ).
thf(tp_autore519998265nres_b,type,
autore519998265nres_b: ( a > refine432681134nres_b ) > ( a > refine432681134nres_b ) > $o ).
thf(tp_autore572178349nres_c,type,
autore572178349nres_c: ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > c > ( c > refine440942639nres_c ) > refine440942639nres_c ).
thf(tp_autore73061154nres_c,type,
autore73061154nres_c: ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > autoref_annot > d > ( d > refine440942639nres_c ) > refine440942639nres_c ).
thf(tp_autore781669463nres_b,type,
autore781669463nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_autore821920247_o_o_o,type,
autore821920247_o_o_o: ( ( c > $o > $o ) > $o > $o ) > ( c > $o > $o ) > $o > $o ).
thf(tp_autore821969498_o_c_c,type,
autore821969498_o_c_c: set_Pr37069423_o_c_c > autoref_annot ).
thf(tp_autore867490625_o_c_c,type,
autore867490625_o_c_c: ( ( $o > $o ) > ( ( $o > $o ) > c ) > c ) > autoref_annot > ( $o > $o ) > ( ( $o > $o ) > c ) > c ).
thf(tp_autore906565869nres_b,type,
autore906565869nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_autore956252284nres_b,type,
autore956252284nres_b: ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_autore956520418nres_c,type,
autore956520418nres_c: ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > autoref_annot > c > ( c > refine440942639nres_c ) > refine440942639nres_c ).
thf(tp_autore964129529nres_c,type,
autore964129529nres_c: ( ( d > refine440942639nres_c ) > refine440942639nres_c ) > ( d > refine440942639nres_c ) > refine440942639nres_c ).
thf(tp_autore971224502_o_c_c,type,
autore971224502_o_c_c: ( ( $o > $o ) > ( ( $o > $o ) > c ) > c ) > ( $o > $o ) > ( ( $o > $o ) > c ) > c ).
thf(tp_autore990423178_o_o_o,type,
autore990423178_o_o_o: ( $o > $o > $o ) > ( $o > $o > $o ) > $o ).
thf(tp_autoref_APP_a_a,type,
autoref_APP_a_a: ( a > a ) > a > a ).
thf(tp_autoref_APP_a_o_o,type,
autoref_APP_a_o_o: ( a > $o > $o ) > a > $o > $o ).
thf(tp_autoref_APP_c_c,type,
autoref_APP_c_c: ( c > c ) > c > c ).
thf(tp_autoref_APP_c_c_c,type,
autoref_APP_c_c_c: ( ( c > c ) > c ) > ( c > c ) > c ).
thf(tp_autoref_APP_c_c_c_c,type,
autoref_APP_c_c_c_c: ( c > ( c > c ) > c ) > c > ( c > c ) > c ).
thf(tp_autoref_APP_c_o_o,type,
autoref_APP_c_o_o: ( c > $o > $o ) > c > $o > $o ).
thf(tp_autoref_APP_int_o,type,
autoref_APP_int_o: ( int > $o ) > int > $o ).
thf(tp_autoref_APP_int_o_o,type,
autoref_APP_int_o_o: ( ( int > $o ) > $o ) > ( int > $o ) > $o ).
thf(tp_autoref_APP_o_o,type,
autoref_APP_o_o: ( $o > $o ) > $o > $o ).
thf(tp_autoref_APP_o_o_a,type,
autoref_APP_o_o_a: ( ( $o > $o ) > a ) > ( $o > $o ) > a ).
thf(tp_autoref_APP_o_o_c,type,
autoref_APP_o_o_c: ( ( $o > $o ) > c ) > ( $o > $o ) > c ).
thf(tp_autoref_APP_o_o_c_c,type,
autoref_APP_o_o_c_c: ( ( ( $o > $o ) > c ) > c ) > ( ( $o > $o ) > c ) > c ).
thf(tp_autoref_OP_c_c_c_c,type,
autoref_OP_c_c_c_c: ( c > ( c > c ) > c ) > c > ( c > c ) > c ).
thf(tp_collec1208105746_nat_o,type,
collec1208105746_nat_o: ( produc724473255_nat_o > $o ) > set_Pr1659864199_nat_o ).
thf(tp_collec1321668993nres_d,type,
collec1321668993nres_d: ( produc809931564nres_d > $o ) > set_Pr613277282nres_d ).
thf(tp_collec149876626_o_o_o,type,
collec149876626_o_o_o: ( produc46704423_o_o_o > $o ) > set_Pr618353415_o_o_o ).
thf(tp_collec1505367958_o_o_o,type,
collec1505367958_o_o_o: ( product_prod_o_o_o_o > $o ) > set_Pr934623755_o_o_o ).
thf(tp_collec1639315997nres_d,type,
collec1639315997nres_d: ( produc2103861704nres_d > $o ) > set_Pr589481214nres_d ).
thf(tp_collec1671161663nres_d,type,
collec1671161663nres_d: ( produc1757587562nres_d > $o ) > set_Pr797615136nres_d ).
thf(tp_collec1760248548_nat_o,type,
collec1760248548_nat_o: ( produc1314004473_nat_o > $o ) > set_Pr766923865_nat_o ).
thf(tp_collec554837959nres_d,type,
collec554837959nres_d: ( produc1677145714nres_d > $o ) > set_Pr2080238504nres_d ).
thf(tp_collec662378644od_a_c,type,
collec662378644od_a_c: ( product_prod_a_c > $o ) > set_Product_prod_a_c ).
thf(tp_collec964422930_int_o,type,
collec964422930_int_o: ( produc480790439_int_o > $o ) > set_Pr1320171143_int_o ).
thf(tp_fun_re1012178006_nat_o,type,
fun_re1012178006_nat_o: set_Pr934623755_o_o_o > set_Pr1659864199_nat_o > set_Pr524661639_nat_o ).
thf(tp_fun_re1088433670nt_int,type,
fun_re1088433670nt_int: set_Pr1986765409at_nat > set_Pr1858794777nt_int > set_Pr1749533559at_int ).
thf(tp_fun_re1089848935nres_d,type,
fun_re1089848935nres_d: set_Product_prod_a_c > set_Pr797615136nres_d > set_Pr2080238504nres_d ).
thf(tp_fun_re1101734569nres_d,type,
fun_re1101734569nres_d: set_Product_prod_b_d > set_Pr451158306nres_d > set_Pr1413987240nres_d ).
thf(tp_fun_re1140323340nres_a,type,
fun_re1140323340nres_a: set_Pr1635457468nres_a > set_Pr1598501265nres_a > set_Pr436741343nres_a ).
thf(tp_fun_re1144975870_o_c_c,type,
fun_re1144975870_o_c_c: set_Pr934623755_o_o_o > set_Pr46530663_o_c_c > set_Pr37069423_o_c_c ).
thf(tp_fun_re1165441639nres_b,type,
fun_re1165441639nres_b: set_Product_prod_a_a > set_Pr1052763806nres_b > set_Pr1358127528nres_b ).
thf(tp_fun_re1190106143nres_d,type,
fun_re1190106143nres_d: set_Pr1128439124nres_c > set_Pr1712866168nres_d > set_Pr1614046668nres_d ).
thf(tp_fun_re1190945563nres_d,type,
fun_re1190945563nres_d: set_Pr1408729042nres_c > set_Pr1146978466nres_d > set_Pr642586912nres_d ).
thf(tp_fun_re1209216603nres_c,type,
fun_re1209216603nres_c: set_Product_prod_b_d > set_Pr1128439124nres_c > set_Pr979578428nres_c ).
thf(tp_fun_re1306413669nres_d,type,
fun_re1306413669nres_d: set_Pr589481214nres_d > set_Pr1824526846nres_d > set_Pr613277282nres_d ).
thf(tp_fun_re132614427nres_b,type,
fun_re132614427nres_b: set_Product_prod_b_b > set_Pr896671762nres_b > set_Pr512944190nres_b ).
thf(tp_fun_re1366722255nres_c,type,
fun_re1366722255nres_c: set_Pr979578428nres_c > set_Pr1128439124nres_c > set_Pr57594146nres_c ).
thf(tp_fun_re1394577105nres_d,type,
fun_re1394577105nres_d: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).
thf(tp_fun_re1488118943nres_d,type,
fun_re1488118943nres_d: set_Pr1640496404nres_d > set_Pr451158306nres_d > set_Pr794589344nres_d ).
thf(tp_fun_re1521677944_o_o_o,type,
fun_re1521677944_o_o_o: set_Pr1986765409at_nat > set_Pr934623755_o_o_o > set_Pr2058424041at_o_o ).
thf(tp_fun_re1568737051nres_c,type,
fun_re1568737051nres_c: set_Product_prod_c_c > set_Pr1408729042nres_c > set_Pr1812169344nres_c ).
thf(tp_fun_re1579405647nres_b,type,
fun_re1579405647nres_b: set_Pr1815766654nres_b > set_Pr896671762nres_b > set_Pr1052763806nres_b ).
thf(tp_fun_re1645900187nres_a,type,
fun_re1645900187nres_a: set_Product_prod_c_a > set_Pr664904400nres_a > set_Pr890971136nres_a ).
thf(tp_fun_re1732033515nres_d,type,
fun_re1732033515nres_d: set_Pr1537816964nres_d > set_Pr1824526846nres_d > set_Pr1710101992nres_d ).
thf(tp_fun_re1740744275nres_d,type,
fun_re1740744275nres_d: set_Pr119249666nres_d > set_Pr1920786322nres_d > set_Pr1146978466nres_d ).
thf(tp_fun_re1760530651nres_d,type,
fun_re1760530651nres_d: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ).
thf(tp_fun_re1770844140_nat_o,type,
fun_re1770844140_nat_o: set_Pr1986765409at_nat > set_Pr310822599_nat_o > set_Pr1659864199_nat_o ).
thf(tp_fun_re1799515654at_nat,type,
fun_re1799515654at_nat: set_Pr1858794777nt_int > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ).
thf(tp_fun_re1837693787nres_b,type,
fun_re1837693787nres_b: set_Product_prod_a_a > set_Pr896671762nres_b > set_Pr1815766654nres_b ).
thf(tp_fun_re1859931662_c_a_c,type,
fun_re1859931662_c_a_c: set_Pr1955643401_o_o_c > set_Product_prod_a_c > set_Pr46530663_o_c_c ).
thf(tp_fun_re1877185935nres_c,type,
fun_re1877185935nres_c: set_Pr134917244nres_c > set_Pr1128439124nres_c > set_Pr404050976nres_c ).
thf(tp_fun_re1904331357nres_a,type,
fun_re1904331357nres_a: set_Pr1830268627nres_b > set_Pr436741343nres_a > set_Pr2039330848nres_a ).
thf(tp_fun_re1915547295nres_c,type,
fun_re1915547295nres_c: set_Pr1128439124nres_c > set_Pr404050976nres_c > set_Pr882593184nres_c ).
thf(tp_fun_re1925572817nres_b,type,
fun_re1925572817nres_b: set_Pr1345535106nres_b > set_Pr1176961680nres_b > set_Pr1402127136nres_b ).
thf(tp_fun_re1934003492_nat_o,type,
fun_re1934003492_nat_o: set_Pr766923865_nat_o > set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ).
thf(tp_fun_re2021699288_o_o_o,type,
fun_re2021699288_o_o_o: set_Pr1933985801_c_o_o > set_Pr934623755_o_o_o > set_Pr1371175689_o_o_o ).
thf(tp_fun_re202574526nt_int,type,
fun_re202574526nt_int: set_Pr1858794777nt_int > set_Pr1858794777nt_int > set_Pr2110946351nt_int ).
thf(tp_fun_re2036221850_int_o,type,
fun_re2036221850_int_o: set_Pr1858794777nt_int > set_Pr1435428853_int_o > set_Pr1351316363_int_o ).
thf(tp_fun_re2045802267nres_b,type,
fun_re2045802267nres_b: set_Pr384614482nres_a > set_Pr1052763806nres_b > set_Pr818594592nres_b ).
thf(tp_fun_re2071856555nres_d,type,
fun_re2071856555nres_d: set_Pr797615136nres_d > set_Pr1640496404nres_d > set_Pr1824526846nres_d ).
thf(tp_fun_re2101272022_o_o_o,type,
fun_re2101272022_o_o_o: set_Pr934623755_o_o_o > set_Pr618353415_o_o_o > set_Pr68707591_o_o_o ).
thf(tp_fun_re215849226_nat_o,type,
fun_re215849226_nat_o: set_Pr310822599_nat_o > set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ).
thf(tp_fun_re22412234_int_o,type,
fun_re22412234_int_o: set_Pr1320171143_int_o > set_Pr94755271_int_o > set_Pr1435428853_int_o ).
thf(tp_fun_re297775585nres_c,type,
fun_re297775585nres_c: set_Pr426609621nres_d > set_Pr181592673nres_c > set_Pr1245537056nres_c ).
thf(tp_fun_re362844942_o_o_o,type,
fun_re362844942_o_o_o: set_Product_prod_a_c > set_Pr1371175689_o_o_o > set_Pr1774281699_o_o_o ).
thf(tp_fun_re414971739nres_d,type,
fun_re414971739nres_d: set_Product_prod_c_c > set_Pr1920786322nres_d > set_Pr119249666nres_d ).
thf(tp_fun_re418666087nres_c,type,
fun_re418666087nres_c: set_Product_prod_a_c > set_Pr404050976nres_c > set_Pr1250642728nres_c ).
thf(tp_fun_re430551721nres_c,type,
fun_re430551721nres_c: set_Product_prod_b_d > set_Pr57594146nres_c > set_Pr584391464nres_c ).
thf(tp_fun_re439246495nres_d,type,
fun_re439246495nres_d: set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).
thf(tp_fun_re442767642nt_o_o,type,
fun_re442767642nt_o_o: set_Pr1858794777nt_int > set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ).
thf(tp_fun_re464413488_o_o_o,type,
fun_re464413488_o_o_o: set_Pr1858794777nt_int > set_Pr934623755_o_o_o > set_Pr1006121889nt_o_o ).
thf(tp_fun_re492134875nres_b,type,
fun_re492134875nres_b: set_Product_prod_c_a > set_Pr1176961680nres_b > set_Pr1345535106nres_b ).
thf(tp_fun_re537891150at_nat,type,
fun_re537891150at_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1357842111at_nat ).
thf(tp_fun_re55451291nres_d,type,
fun_re55451291nres_d: set_Product_prod_b_d > set_Pr1640496404nres_d > set_Pr1434142398nres_d ).
thf(tp_fun_re631684249nres_c,type,
fun_re631684249nres_c: set_Product_prod_a_d > set_Pr194842259nres_c > set_Pr409172028nres_c ).
thf(tp_fun_re650017687nres_b,type,
fun_re650017687nres_b: set_Pr664904400nres_a > set_Pr1402127136nres_b > set_Pr1436380704nres_b ).
thf(tp_fun_re667116106_o_o_o,type,
fun_re667116106_o_o_o: set_Pr94755271_int_o > set_Product_prod_o_o > set_Pr1495585653nt_o_o ).
thf(tp_fun_re682130338_o_o_o,type,
fun_re682130338_o_o_o: set_Pr934623755_o_o_o > set_Pr934623755_o_o_o > set_Pr2088790547_o_o_o ).
thf(tp_fun_re692194867nres_d,type,
fun_re692194867nres_d: set_Pr24800800nres_d > set_Pr797615136nres_d > set_Pr1712866168nres_d ).
thf(tp_fun_re708847385nres_a,type,
fun_re708847385nres_a: set_Product_prod_a_b > set_Pr1598501265nres_a > set_Pr1635457468nres_a ).
thf(tp_fun_re766812315nres_c,type,
fun_re766812315nres_c: set_Product_prod_a_c > set_Pr1128439124nres_c > set_Pr134917244nres_c ).
thf(tp_fun_re816936095nres_c,type,
fun_re816936095nres_c: set_Pr1640496404nres_d > set_Pr57594146nres_c > set_Pr1652381728nres_c ).
thf(tp_fun_re836380558_c_c_c,type,
fun_re836380558_c_c_c: set_Product_prod_a_c > set_Pr1673989513_c_c_c > set_Pr807116335_c_c_c ).
thf(tp_fun_re843975451nres_a,type,
fun_re843975451nres_a: set_Product_prod_a_a > set_Pr384614482nres_a > set_Pr1361202684nres_a ).
thf(tp_fun_re881041610_nat_o,type,
fun_re881041610_nat_o: set_Pr310822599_nat_o > set_Pr1659864199_nat_o > set_Pr766923865_nat_o ).
thf(tp_fun_re884113425nres_d,type,
fun_re884113425nres_d: set_Pr1434142398nres_d > set_Pr1640496404nres_d > set_Pr451158306nres_d ).
thf(tp_fun_re934539163nres_b,type,
fun_re934539163nres_b: set_Product_prod_d_b > set_Pr1176961680nres_b > set_Pr42712642nres_b ).
thf(tp_fun_re955494798nres_c,type,
fun_re955494798nres_c: set_Pr409172028nres_c > set_Pr194842259nres_c > set_Pr181592673nres_c ).
thf(tp_fun_re986858916_int_o,type,
fun_re986858916_int_o: set_Pr1858794777nt_int > set_Pr94755271_int_o > set_Pr1320171143_int_o ).
thf(tp_fun_rel_a_a_c_c_a_c,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(tp_fun_rel_a_c_a_c,type,
fun_rel_a_c_a_c: set_Product_prod_a_c > set_Product_prod_a_c > set_Pr1234209675_a_c_c ).
thf(tp_fun_rel_a_c_o_o_o_o,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(tp_fun_rel_int_int_a_c,type,
fun_rel_int_int_a_c: set_Pr1858794777nt_int > set_Product_prod_a_c > set_Pr1575377993_int_c ).
thf(tp_fun_rel_int_int_o_o,type,
fun_rel_int_int_o_o: set_Pr1858794777nt_int > set_Product_prod_o_o > set_Pr94755271_int_o ).
thf(tp_fun_rel_nat_nat_a_c,type,
fun_rel_nat_nat_a_c: set_Pr1986765409at_nat > set_Product_prod_a_c > set_Pr933902153_nat_c ).
thf(tp_fun_rel_nat_nat_o_o,type,
fun_rel_nat_nat_o_o: set_Pr1986765409at_nat > set_Product_prod_o_o > set_Pr310822599_nat_o ).
thf(tp_fun_rel_o_o_a_c,type,
fun_rel_o_o_a_c: set_Product_prod_o_o > set_Product_prod_a_c > set_Pr709440729_a_o_c ).
thf(tp_fun_rel_o_o_int_int,type,
fun_rel_o_o_int_int: set_Product_prod_o_o > set_Pr1858794777nt_int > set_Pr1437791047_o_int ).
thf(tp_fun_rel_o_o_nat_nat,type,
fun_rel_o_o_nat_nat: set_Product_prod_o_o > set_Pr1986765409at_nat > set_Pr343524935_o_nat ).
thf(tp_fun_rel_o_o_o_o,type,
fun_rel_o_o_o_o: set_Product_prod_o_o > set_Product_prod_o_o > set_Pr934623755_o_o_o ).
thf(tp_fun_rel_o_o_o_o_a_c,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(tp_fun_rel_o_o_o_o_o_o,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(tp_id_Ref1256934482nres_b,type,
id_Ref1256934482nres_b: set_Pr896671762nres_b ).
thf(tp_id_a,type,
id_a: set_Product_prod_a_a ).
thf(tp_id_a_R351071993nres_b,type,
id_a_R351071993nres_b: set_Pr1815766654nres_b ).
thf(tp_id_int,type,
id_int: set_Pr1858794777nt_int ).
thf(tp_id_int_int,type,
id_int_int: set_Pr2110946351nt_int ).
thf(tp_id_int_int_o,type,
id_int_int_o: set_Pr1320171143_int_o ).
thf(tp_id_int_nat,type,
id_int_nat: set_Pr1719254903nt_nat ).
thf(tp_id_int_o,type,
id_int_o: set_Pr94755271_int_o ).
thf(tp_id_int_o_o,type,
id_int_o_o: set_Pr1006121889nt_o_o ).
thf(tp_id_nat,type,
id_nat: set_Pr1986765409at_nat ).
thf(tp_id_nat_int,type,
id_nat_int: set_Pr1749533559at_int ).
thf(tp_id_nat_nat,type,
id_nat_nat: set_Pr1357842111at_nat ).
thf(tp_id_nat_nat_o,type,
id_nat_nat_o: set_Pr1659864199_nat_o ).
thf(tp_id_nat_o,type,
id_nat_o: set_Pr310822599_nat_o ).
thf(tp_id_nat_o_nat_nat_o,type,
id_nat_o_nat_nat_o: set_Pr766923865_nat_o ).
thf(tp_id_o,type,
id_o: $o > $o ).
thf(tp_id_o2,type,
id_o2: set_Product_prod_o_o ).
thf(tp_id_o_int,type,
id_o_int: set_Pr1437791047_o_int ).
thf(tp_id_o_nat,type,
id_o_nat: set_Pr343524935_o_nat ).
thf(tp_id_o_o,type,
id_o_o: set_Pr934623755_o_o_o ).
thf(tp_id_o_o_o,type,
id_o_o_o: set_Pr618353415_o_o_o ).
thf(tp_member100096605nres_c,type,
member100096605nres_c: produc1267050566nres_c > set_Pr134917244nres_c > $o ).
thf(tp_member1010099668_a_c_c,type,
member1010099668_a_c_c: product_prod_a_a_c_c > set_Pr1234209675_a_c_c > $o ).
thf(tp_member1051493202_c_o_o,type,
member1051493202_c_o_o: produc1838469673_c_o_o > set_Pr1933985801_c_o_o > $o ).
thf(tp_member1078413858_a_o_c,type,
member1078413858_a_o_c: product_prod_o_a_o_c > set_Pr709440729_a_o_c > $o ).
thf(tp_member112824072at_nat,type,
member112824072at_nat: produc1281043295at_nat > set_Pr1357842111at_nat > $o ).
thf(tp_member1184737698_nat_o,type,
member1184737698_nat_o: produc1314004473_nat_o > set_Pr766923865_nat_o > $o ).
thf(tp_member1269896305nres_b,type,
member1269896305nres_b: produc1410942426nres_b > set_Pr1176961680nres_b > $o ).
thf(tp_member1270020946_o_o_c,type,
member1270020946_o_o_c: produc2056997417_o_o_c > set_Pr1955643401_o_o_c > $o ).
thf(tp_member1292358833nres_a,type,
member1292358833nres_a: produc1433404954nres_a > set_Pr664904400nres_a > $o ).
thf(tp_member1302463506od_b_d,type,
member1302463506od_b_d: product_prod_b_d > set_Product_prod_b_d > $o ).
thf(tp_member1330470160_nat_o,type,
member1330470160_nat_o: produc878596327_nat_o > set_Pr310822599_nat_o > $o ).
thf(tp_member1374144912_o_int,type,
member1374144912_o_int: produc922271079_o_int > set_Pr1437791047_o_int > $o ).
thf(tp_member1424003763nres_c,type,
member1424003763nres_c: produc1565049884nres_c > set_Pr1408729042nres_c > $o ).
thf(tp_member1446466291nres_b,type,
member1446466291nres_b: produc1587512412nres_b > set_Pr896671762nres_b > $o ).
thf(tp_member1468277761nres_a,type,
member1468277761nres_a: produc1298363114nres_a > set_Pr2039330848nres_a > $o ).
thf(tp_member1468928819nres_a,type,
member1468928819nres_a: produc1609974940nres_a > set_Pr384614482nres_a > $o ).
thf(tp_member1578111221nres_d,type,
member1578111221nres_d: produc1719157342nres_d > set_Pr1640496404nres_d > $o ).
thf(tp_member1589848000at_int,type,
member1589848000at_int: produc610583575at_int > set_Pr1749533559at_int > $o ).
thf(tp_member1600573749nres_c,type,
member1600573749nres_c: produc1741619870nres_c > set_Pr1128439124nres_c > $o ).
thf(tp_member1641679352_nat_o,type,
member1641679352_nat_o: produc416848975_nat_o > set_Pr1125433775_nat_o > $o ).
thf(tp_member1680325597nres_a,type,
member1680325597nres_a: produc699795910nres_a > set_Pr1361202684nres_a > $o ).
thf(tp_member1698479224nt_int,type,
member1698479224nt_int: produc719214799nt_int > set_Pr2110946351nt_int > $o ).
thf(tp_member1700179713nres_b,type,
member1700179713nres_b: produc1530265066nres_b > set_Pr818594592nres_b > $o ).
thf(tp_member1715717121nres_c,type,
member1715717121nres_c: produc1545802474nres_c > set_Pr1652381728nres_c > $o ).
thf(tp_member1749460202nt_o_o,type,
member1749460202nt_o_o: produc426758977nt_o_o > set_Pr1006121889nt_o_o > $o ).
thf(tp_member1751415169nres_c,type,
member1751415169nres_c: produc1581500522nres_c > set_Pr882593184nres_c > $o ).
thf(tp_member1805296690at_o_o,type,
member1805296690at_o_o: produc482595465at_o_o > set_Pr2058424041at_o_o > $o ).
thf(tp_member1888652380_o_o_o,type,
member1888652380_o_o_o: produc1839156403_o_o_o > set_Pr2088790547_o_o_o > $o ).
thf(tp_member189721481nres_d,type,
member189721481nres_d: produc1677145714nres_d > set_Pr2080238504nres_d > $o ).
thf(tp_member1981370113nres_c,type,
member1981370113nres_c: produc1811455466nres_c > set_Pr1245537056nres_c > $o ).
thf(tp_member2039405057nres_b,type,
member2039405057nres_b: produc1869490410nres_b > set_Pr1436380704nres_b > $o ).
thf(tp_member2072375312_int_o,type,
member2072375312_int_o: produc1620501479_int_o > set_Pr94755271_int_o > $o ).
thf(tp_member2086976541nres_c,type,
member2086976541nres_c: produc1106446854nres_c > set_Pr979578428nres_c > $o ).
thf(tp_member209049375nres_b,type,
member209049375nres_b: produc1376003336nres_b > set_Pr512944190nres_b > $o ).
thf(tp_member2139143049nres_d,type,
member2139143049nres_d: produc1479083634nres_d > set_Pr1413987240nres_d > $o ).
thf(tp_member221455296nt_nat,type,
member221455296nt_nat: produc1389674519nt_nat > set_Pr1719254903nt_nat > $o ).
thf(tp_member228973321nres_c,type,
member228973321nres_c: produc1716397554nres_c > set_Pr584391464nres_c > $o ).
thf(tp_member250723412_o_o_o,type,
member250723412_o_o_o: product_prod_o_o_o_o > set_Pr934623755_o_o_o > $o ).
thf(tp_member296230032_o_nat,type,
member296230032_o_nat: produc1991839847_o_nat > set_Pr343524935_o_nat > $o ).
thf(tp_member30090369nres_d,type,
member30090369nres_d: produc2007659370nres_d > set_Pr794589344nres_d > $o ).
thf(tp_member318002145nres_a,type,
member318002145nres_a: produc1484956106nres_a > set_Pr890971136nres_a > $o ).
thf(tp_member336854736_nat_o,type,
member336854736_nat_o: produc724473255_nat_o > set_Pr1659864199_nat_o > $o ).
thf(tp_member369653087nres_b,type,
member369653087nres_b: produc1536607048nres_b > set_Pr1815766654nres_b > $o ).
thf(tp_member405013761nres_d,type,
member405013761nres_d: produc235099114nres_d > set_Pr642586912nres_d > $o ).
thf(tp_member427035401nres_c,type,
member427035401nres_c: produc1914459634nres_c > set_Pr1250642728nres_c > $o ).
thf(tp_member449909584od_a_a,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(tp_member449974729nres_d,type,
member449974729nres_d: produc1834705330nres_d > set_Pr1710101992nres_d > $o ).
thf(tp_member461830657nres_d,type,
member461830657nres_d: produc1757587562nres_d > set_Pr797615136nres_d > $o ).
thf(tp_member466432594od_a_c,type,
member466432594od_a_c: product_prod_a_c > set_Product_prod_a_c > $o ).
thf(tp_member508530605nres_d,type,
member508530605nres_d: produc819780758nres_d > set_Pr1614046668nres_d > $o ).
thf(tp_member55945296od_o_o,type,
member55945296od_o_o: product_prod_o_o > set_Product_prod_o_o > $o ).
thf(tp_member62857552_o_o_o,type,
member62857552_o_o_o: produc46704423_o_o_o > set_Pr618353415_o_o_o > $o ).
thf(tp_member65788417nres_d,type,
member65788417nres_d: produc2043357418nres_d > set_Pr24800800nres_d > $o ).
thf(tp_member660096835nres_d,type,
member660096835nres_d: produc809931564nres_d > set_Pr613277282nres_d > $o ).
thf(tp_member672653908nt_o_o,type,
member672653908nt_o_o: produc496448427nt_o_o > set_Pr1524520971nt_o_o > $o ).
thf(tp_member701585322at_nat,type,
member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).
thf(tp_member716152722_int_c,type,
member716152722_int_c: produc1769036905_int_c > set_Pr1575377993_int_c > $o ).
thf(tp_member757031305nres_b,type,
member757031305nres_b: produc96971890nres_b > set_Pr1358127528nres_b > $o ).
thf(tp_member764986836_int_o,type,
member764986836_int_o: produc1616993579_int_o > set_Pr1351316363_int_o > $o ).
thf(tp_member77287248_o_o_o,type,
member77287248_o_o_o: produc1039600167_o_o_o > set_Pr68707591_o_o_o > $o ).
thf(tp_member776304031nres_d,type,
member776304031nres_d: produc1943257992nres_d > set_Pr1434142398nres_d > $o ).
thf(tp_member776767074nt_int,type,
member776767074nt_int: product_prod_int_int > set_Pr1858794777nt_int > $o ).
thf(tp_member885256801nres_c,type,
member885256801nres_c: produc2052210762nres_c > set_Pr1812169344nres_c > $o ).
thf(tp_member898353616_nat_o,type,
member898353616_nat_o: produc1174115751_nat_o > set_Pr524661639_nat_o > $o ).
thf(tp_member91290258_nat_c,type,
member91290258_nat_c: produc1144174441_nat_c > set_Pr933902153_nat_c > $o ).
thf(tp_member93171920_int_o,type,
member93171920_int_o: produc480790439_int_o > set_Pr1320171143_int_o > $o ).
thf(tp_member936907743nres_d,type,
member936907743nres_d: produc2103861704nres_d > set_Pr589481214nres_d > $o ).
thf(tp_member994209571nres_b,type,
member994209571nres_b: produc13679884nres_b > set_Pr42712642nres_b > $o ).
thf(tp_ord_less_eq_int,type,
ord_less_eq_int: int > int > $o ).
thf(tp_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(tp_ord_less_int,type,
ord_less_int: int > int > $o ).
thf(tp_ord_less_nat,type,
ord_less_nat: nat > nat > $o ).
thf(tp_produc1063567300nres_a,type,
produc1063567300nres_a: ( c > refine440942639nres_c ) > ( a > refine424419629nres_a ) > produc1484956106nres_a ).
thf(tp_produc1066811108nres_a,type,
produc1066811108nres_a: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ) > produc1298363114nres_a ).
thf(tp_produc1067187929_nat_c,type,
produc1067187929_nat_c: ( nat > a ) > ( nat > c ) > produc1144174441_nat_c ).
thf(tp_produc1099128279_o_nat,type,
produc1099128279_o_nat: ( $o > nat ) > ( $o > nat ) > produc1991839847_o_nat ).
thf(tp_produc1136923598nres_a,type,
produc1136923598nres_a: refine424419629nres_a > refine424419629nres_a > produc1609974940nres_a ).
thf(tp_produc1153446608nres_c,type,
produc1153446608nres_c: refine424419629nres_a > refine440942639nres_c > produc1741619870nres_c ).
thf(tp_produc1206080049_nat_o,type,
produc1206080049_nat_o: ( ( nat > $o ) > nat > nat > $o ) > ( ( nat > $o ) > nat > nat > $o ) > produc1314004473_nat_o ).
thf(tp_produc1217921175_int_o,type,
produc1217921175_int_o: ( int > int > $o ) > ( int > int > $o ) > produc480790439_int_o ).
thf(tp_produc1218908503_nat_o,type,
produc1218908503_nat_o: ( nat > $o ) > ( nat > $o ) > produc878596327_nat_o ).
thf(tp_produc1393542937_c_o_o,type,
produc1393542937_c_o_o: ( a > $o > $o ) > ( c > $o > $o ) > produc1838469673_c_o_o ).
thf(tp_produc1419879375nt_nat,type,
produc1419879375nt_nat: ( int > nat ) > ( int > nat ) > produc1389674519nt_nat ).
thf(tp_produc1445585666nres_b,type,
produc1445585666nres_b: ( b > refine432681134nres_b ) > ( b > refine432681134nres_b ) > produc1376003336nres_b ).
thf(tp_produc1486173035_o_o_o,type,
produc1486173035_o_o_o: ( ( $o > $o ) > $o > $o ) > ( ( $o > $o ) > $o > $o ) > produc1839156403_o_o_o ).
thf(tp_produc1576596708nres_d,type,
produc1576596708nres_d: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc2043357418nres_d ).
thf(tp_produc1593059991_nat_o,type,
produc1593059991_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > produc724473255_nat_o ).
thf(tp_produc1684950905nt_o_o,type,
produc1684950905nt_o_o: ( int > $o > $o ) > ( int > $o > $o ) > produc426758977nt_o_o ).
thf(tp_produc1714464775_nat_o,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(tp_produc1824358636nres_c,type,
produc1824358636nres_c: ( a > ( a > refine424419629nres_a ) > refine424419629nres_a ) > ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > produc1914459634nres_c ).
thf(tp_produc1827604032nres_c,type,
produc1827604032nres_c: ( a > refine424419629nres_a ) > ( c > refine440942639nres_c ) > produc1267050566nres_c ).
thf(tp_produc183923940nres_b,type,
produc183923940nres_b: ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > produc1869490410nres_b ).
thf(tp_produc1847874839_o_o_o,type,
produc1847874839_o_o_o: ( $o > $o > $o ) > ( $o > $o > $o ) > produc46704423_o_o_o ).
thf(tp_produc1849784535_o_int,type,
produc1849784535_o_int: ( $o > int ) > ( $o > int ) > produc922271079_o_int ).
thf(tp_produc1910095910nres_d,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(tp_produc1915822052nres_d,type,
produc1915822052nres_d: ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc235099114nres_d ).
thf(tp_produc1930602447at_int,type,
produc1930602447at_int: ( nat > int ) > ( nat > int ) > produc610583575at_int ).
thf(tp_produc1951588545at_o_o,type,
produc1951588545at_o_o: ( nat > $o > $o ) > ( nat > $o > $o ) > produc482595465at_o_o ).
thf(tp_produc1954071948nres_b,type,
produc1954071948nres_b: refine449204144nres_d > refine432681134nres_b > produc1410942426nres_b ).
thf(tp_produc1961734380nres_c,type,
produc1961734380nres_c: ( b > ( b > refine424419629nres_a ) > refine424419629nres_a ) > ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > produc1716397554nres_c ).
thf(tp_produc1992182244nres_b,type,
produc1992182244nres_b: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > produc1530265066nres_b ).
thf(tp_produc2007676503_int_o,type,
produc2007676503_int_o: ( int > $o ) > ( int > $o ) > produc1620501479_int_o ).
thf(tp_produc2035736420nres_d,type,
produc2035736420nres_d: ( refine432681134nres_b > ( b > refine432681134nres_b ) > refine432681134nres_b ) > ( refine449204144nres_d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > produc2007659370nres_d ).
thf(tp_produc2068274457_o_o_c,type,
produc2068274457_o_o_c: ( ( $o > $o ) > a ) > ( ( $o > $o ) > c ) > produc2056997417_o_o_c ).
thf(tp_produc2073916516nres_c,type,
produc2073916516nres_c: ( refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ) > ( refine440942639nres_c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > produc1581500522nres_c ).
thf(tp_produc2075136412nres_d,type,
produc2075136412nres_d: ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc1757587562nres_d ).
thf(tp_produc210841666nres_d,type,
produc210841666nres_d: ( a > refine432681134nres_b ) > ( c > refine449204144nres_d ) > produc2103861704nres_d ).
thf(tp_produc2111111011nt_o_o,type,
produc2111111011nt_o_o: ( int > ( int > $o ) > $o ) > ( int > ( int > $o ) > $o ) > produc496448427nt_o_o ).
thf(tp_produc2130641934nres_b,type,
produc2130641934nres_b: refine432681134nres_b > refine432681134nres_b > produc1587512412nres_b ).
thf(tp_produc2147164944nres_d,type,
produc2147164944nres_d: refine432681134nres_b > refine449204144nres_d > produc1719157342nres_d ).
thf(tp_produc255636953_int_c,type,
produc255636953_int_c: ( int > a ) > ( int > c ) > produc1769036905_int_c ).
thf(tp_produc259148439_nat_o,type,
produc259148439_nat_o: ( ( $o > $o ) > nat > nat > $o ) > ( ( $o > $o ) > nat > nat > $o ) > produc1174115751_nat_o ).
thf(tp_produc278407104nres_a,type,
produc278407104nres_a: ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > produc699795910nres_a ).
thf(tp_produc295171948nres_b,type,
produc295171948nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > produc96971890nres_b ).
thf(tp_produc316577664nres_c,type,
produc316577664nres_c: ( b > refine424419629nres_a ) > ( d > refine440942639nres_c ) > produc1106446854nres_c ).
thf(tp_produc385572580nres_c,type,
produc385572580nres_c: ( refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ) > ( refine449204144nres_d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > produc1545802474nres_c ).
thf(tp_produc422161031nt_int,type,
produc422161031nt_int: ( int > int ) > ( int > int ) > produc719214799nt_int ).
thf(tp_produc465280580nres_c,type,
produc465280580nres_c: ( c > refine440942639nres_c ) > ( c > refine440942639nres_c ) > produc2052210762nres_c ).
thf(tp_produc604705507_int_o,type,
produc604705507_int_o: ( int > ( int > int > $o ) > int > $o ) > ( int > ( int > int > $o ) > int > $o ) > produc1616993579_int_o ).
thf(tp_produc618371095_o_o_o,type,
produc618371095_o_o_o: ( ( $o > $o ) > $o > $o > $o ) > ( ( $o > $o ) > $o > $o > $o ) > produc1039600167_o_o_o ).
thf(tp_produc627868012nres_d,type,
produc627868012nres_d: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc1677145714nres_d ).
thf(tp_produc651225572nres_c,type,
produc651225572nres_c: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine449204144nres_d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > produc1811455466nres_c ).
thf(tp_produc765243756nres_d,type,
produc765243756nres_d: ( b > ( b > refine432681134nres_b ) > refine432681134nres_b ) > ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > produc1479083634nres_d ).
thf(tp_produc780837143at_nat,type,
produc780837143at_nat: ( nat > nat ) > ( nat > nat ) > produc1281043295at_nat ).
thf(tp_produc809128386nres_b,type,
produc809128386nres_b: ( a > refine432681134nres_b ) > ( a > refine432681134nres_b ) > produc1536607048nres_b ).
thf(tp_produc83262214nres_b,type,
produc83262214nres_b: ( d > refine449204144nres_d ) > ( b > refine432681134nres_b ) > produc13679884nres_b ).
thf(tp_produc847298946nres_d,type,
produc847298946nres_d: ( b > refine432681134nres_b ) > ( d > refine449204144nres_d ) > produc1943257992nres_d ).
thf(tp_produc912866704nres_d,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(tp_produc960353612nres_a,type,
produc960353612nres_a: refine440942639nres_c > refine424419629nres_a > produc1433404954nres_a ).
thf(tp_produc973126316nres_d,type,
produc973126316nres_d: ( refine1696877731nres_b > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ) > ( refine116648739nres_d > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ) > produc1834705330nres_d ).
thf(tp_produc976876622nres_c,type,
produc976876622nres_c: refine440942639nres_c > refine440942639nres_c > produc1565049884nres_c ).
thf(tp_product_Pair_a_a,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(tp_product_Pair_a_a_c_c,type,
product_Pair_a_a_c_c: ( a > a ) > ( c > c ) > product_prod_a_a_c_c ).
thf(tp_product_Pair_a_c,type,
product_Pair_a_c: a > c > product_prod_a_c ).
thf(tp_product_Pair_b_d,type,
product_Pair_b_d: b > d > product_prod_b_d ).
thf(tp_product_Pair_int_int,type,
product_Pair_int_int: int > int > product_prod_int_int ).
thf(tp_product_Pair_nat_nat,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(tp_product_Pair_o_a_o_c,type,
product_Pair_o_a_o_c: ( $o > a ) > ( $o > c ) > product_prod_o_a_o_c ).
thf(tp_product_Pair_o_o,type,
product_Pair_o_o: $o > $o > product_prod_o_o ).
thf(tp_product_Pair_o_o_o_o,type,
product_Pair_o_o_o_o: ( $o > $o ) > ( $o > $o ) > product_prod_o_o_o_o ).
thf(tp_r1,type,
r1: set_Product_prod_a_c ).
thf(tp_r2,type,
r2: set_Product_prod_b_d ).
thf(tp_refine1072887132el_d_b,type,
refine1072887132el_d_b: set_Product_prod_d_b > set_Pr1176961680nres_b ).
thf(tp_refine1072887134el_d_d,type,
refine1072887134el_d_d: set_Product_prod_d_d > set_Pr1920786322nres_d ).
thf(tp_refine1129534141es_d_d,type,
refine1129534141es_d_d: refine116648739nres_d > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ).
thf(tp_refine1264602245nd_b_a,type,
refine1264602245nd_b_a: refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ).
thf(tp_refine1264602246nd_b_b,type,
refine1264602246nd_b_b: refine432681134nres_b > ( b > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_refine1361002633n_bool,type,
refine1361002633n_bool: set_Product_prod_o_o ).
thf(tp_refine1437029927_bnd_a,type,
refine1437029927_bnd_a: $o > refine424419629nres_a > refine424419629nres_a ).
thf(tp_refine1437029928_bnd_b,type,
refine1437029928_bnd_b: $o > refine432681134nres_b > refine432681134nres_b ).
thf(tp_refine1437029929_bnd_c,type,
refine1437029929_bnd_c: $o > refine440942639nres_c > refine440942639nres_c ).
thf(tp_refine1437029930_bnd_d,type,
refine1437029930_bnd_d: $o > refine449204144nres_d > refine449204144nres_d ).
thf(tp_refine1535302424nres_d,type,
refine1535302424nres_d: set_Pr589481214nres_d > set_Pr1537816964nres_d ).
thf(tp_refine1564831965el_b_a,type,
refine1564831965el_b_a: set_Product_prod_b_a > set_Pr1598501265nres_a ).
thf(tp_refine1564831966el_b_b,type,
refine1564831966el_b_b: set_Product_prod_b_b > set_Pr896671762nres_b ).
thf(tp_refine1564831967el_b_c,type,
refine1564831967el_b_c: set_Product_prod_b_c > set_Pr194842259nres_c ).
thf(tp_refine1564831968el_b_d,type,
refine1564831968el_b_d: set_Product_prod_b_d > set_Pr1640496404nres_d ).
thf(tp_refine1711024813nres_d,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(tp_refine1725652845_o_o_o,type,
refine1725652845_o_o_o: set_Pr934623755_o_o_o > ( ( $o > $o ) > $o ) > ( $o > $o ) > $o ).
thf(tp_refine1840159649_int_o,type,
refine1840159649_int_o: set_Pr1320171143_int_o > ( ( int > int > $o ) > $o ) > ( int > int > $o ) > $o ).
thf(tp_refine1958703523nres_d,type,
refine1958703523nres_d: set_Pr797615136nres_d > ( ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > $o ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > $o ).
thf(tp_refine1985319227es_b_b,type,
refine1985319227es_b_b: refine1696877731nres_b > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_refine2063221604TURN_a,type,
refine2063221604TURN_a: a > refine424419629nres_a ).
thf(tp_refine2063221605TURN_b,type,
refine2063221605TURN_b: b > refine432681134nres_b ).
thf(tp_refine2063221606TURN_c,type,
refine2063221606TURN_c: c > refine440942639nres_c ).
thf(tp_refine2063221607TURN_d,type,
refine2063221607TURN_d: d > refine449204144nres_d ).
thf(tp_refine2092371654nd_c_c,type,
refine2092371654nd_c_c: refine440942639nres_c > ( c > refine440942639nres_c ) > refine440942639nres_c ).
thf(tp_refine2092371655nd_c_d,type,
refine2092371655nd_c_d: refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(tp_refine230301243_nat_o,type,
refine230301243_nat_o: set_Pr766923865_nat_o > ( ( ( nat > $o ) > nat > nat > $o ) > $o ) > ( ( nat > $o ) > nat > nat > $o ) > $o ).
thf(tp_refine245117724el_c_a,type,
refine245117724el_c_a: set_Product_prod_c_a > set_Pr664904400nres_a ).
thf(tp_refine245117726el_c_c,type,
refine245117726el_c_c: set_Product_prod_c_c > set_Pr1408729042nres_c ).
thf(tp_refine321891363sn_a_c,type,
refine321891363sn_a_c: set_Product_prod_a_c > ( c > $o ) > a > $o ).
thf(tp_refine408412177nres_d,type,
refine408412177nres_d: set_Pr2080238504nres_d > ( ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > $o ) > ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > $o ).
thf(tp_refine436832838nd_a_a,type,
refine436832838nd_a_a: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ).
thf(tp_refine436832839nd_a_b,type,
refine436832839nd_a_b: refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_refine666274337_o_o_o,type,
refine666274337_o_o_o: set_Pr618353415_o_o_o > ( ( $o > $o > $o ) > $o ) > ( $o > $o > $o ) > $o ).
thf(tp_refine67814817_nat_o,type,
refine67814817_nat_o: set_Pr1659864199_nat_o > ( ( nat > nat > $o ) > $o ) > ( nat > nat > $o ) > $o ).
thf(tp_refine737062558el_a_a,type,
refine737062558el_a_a: set_Product_prod_a_a > set_Pr384614482nres_a ).
thf(tp_refine737062559el_a_b,type,
refine737062559el_a_b: set_Product_prod_a_b > set_Pr1830268627nres_b ).
thf(tp_refine737062560el_a_c,type,
refine737062560el_a_c: set_Product_prod_a_c > set_Pr1128439124nres_c ).
thf(tp_refine737062561el_a_d,type,
refine737062561el_a_d: set_Product_prod_a_d > set_Pr426609621nres_d ).
thf(tp_refine746536475nres_d,type,
refine746536475nres_d: set_Pr589481214nres_d > ( ( c > refine449204144nres_d ) > $o ) > ( a > refine432681134nres_b ) > $o ).
thf(tp_refine772657413nd_d_c,type,
refine772657413nd_d_c: refine449204144nres_d > ( d > refine440942639nres_c ) > refine440942639nres_c ).
thf(tp_refine772657414nd_d_d,type,
refine772657414nd_d_d: refine449204144nres_d > ( d > refine449204144nres_d ) > refine449204144nres_d ).
thf(tp_relAPP102288174_o_o_o,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(tp_relAPP1033339257nres_b,type,
relAPP1033339257nres_b: ( set_Pr1176961680nres_b > set_Pr1402127136nres_b ) > set_Pr1176961680nres_b > set_Pr1402127136nres_b ).
thf(tp_relAPP1042385007nres_a,type,
relAPP1042385007nres_a: ( set_Pr1830268627nres_b > set_Pr436741343nres_a > set_Pr2039330848nres_a ) > set_Pr1830268627nres_b > set_Pr436741343nres_a > set_Pr2039330848nres_a ).
thf(tp_relAPP1043177969nres_d,type,
relAPP1043177969nres_d: ( set_Product_prod_a_d > set_Pr426609621nres_d ) > set_Product_prod_a_d > set_Pr426609621nres_d ).
thf(tp_relAPP1052348760_int_o,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(tp_relAPP1067109483nres_c,type,
relAPP1067109483nres_c: ( set_Product_prod_c_c > set_Pr1408729042nres_c ) > set_Product_prod_c_c > set_Pr1408729042nres_c ).
thf(tp_relAPP1074978238at_nat,type,
relAPP1074978238at_nat: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1357842111at_nat ) > set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1357842111at_nat ).
thf(tp_relAPP1077394663nres_b,type,
relAPP1077394663nres_b: ( set_Pr1402127136nres_b > set_Pr1436380704nres_b ) > set_Pr1402127136nres_b > set_Pr1436380704nres_b ).
thf(tp_relAPP1095654971nres_d,type,
relAPP1095654971nres_d: ( set_Pr1712866168nres_d > set_Pr1614046668nres_d ) > set_Pr1712866168nres_d > set_Pr1614046668nres_d ).
thf(tp_relAPP1102334824nres_a,type,
relAPP1102334824nres_a: ( set_Pr436741343nres_a > set_Pr2039330848nres_a ) > set_Pr436741343nres_a > set_Pr2039330848nres_a ).
thf(tp_relAPP1111247343nres_b,type,
relAPP1111247343nres_b: ( set_Pr384614482nres_a > set_Pr1052763806nres_b > set_Pr818594592nres_b ) > set_Pr384614482nres_a > set_Pr1052763806nres_b > set_Pr818594592nres_b ).
thf(tp_relAPP1135042155nres_d,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(tp_relAPP11374829nres_b,type,
relAPP11374829nres_b: ( set_Product_prod_a_b > set_Pr1830268627nres_b ) > set_Product_prod_a_b > set_Pr1830268627nres_b ).
thf(tp_relAPP1155943915nres_c,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(tp_relAPP1162049684_o_int,type,
relAPP1162049684_o_int: ( set_Pr1858794777nt_int > set_Pr1437791047_o_int ) > set_Pr1858794777nt_int > set_Pr1437791047_o_int ).
thf(tp_relAPP117572292at_o_o,type,
relAPP117572292at_o_o: ( set_Pr934623755_o_o_o > set_Pr2058424041at_o_o ) > set_Pr934623755_o_o_o > set_Pr2058424041at_o_o ).
thf(tp_relAPP1187211054nt_nat,type,
relAPP1187211054nt_nat: ( set_Pr1858794777nt_int > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ) > set_Pr1858794777nt_int > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ).
thf(tp_relAPP1210499902_o_o_o,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(tp_relAPP1212753788nt_o_o,type,
relAPP1212753788nt_o_o: ( set_Pr934623755_o_o_o > set_Pr1006121889nt_o_o ) > set_Pr934623755_o_o_o > set_Pr1006121889nt_o_o ).
thf(tp_relAPP1219475094_nat_o,type,
relAPP1219475094_nat_o: ( set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ) > set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ).
thf(tp_relAPP1270454529nres_d,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(tp_relAPP1293188647nres_b,type,
relAPP1293188647nres_b: ( set_Pr1815766654nres_b > set_Pr896671762nres_b > set_Pr1052763806nres_b ) > set_Pr1815766654nres_b > set_Pr896671762nres_b > set_Pr1052763806nres_b ).
thf(tp_relAPP1294852440_int_c,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(tp_relAPP1300204526_int_o,type,
relAPP1300204526_int_o: ( set_Product_prod_o_o > set_Pr94755271_int_o ) > set_Product_prod_o_o > set_Pr94755271_int_o ).
thf(tp_relAPP1311256519nres_b,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(tp_relAPP131141393nres_c,type,
relAPP131141393nres_c: ( set_Pr57594146nres_c > set_Pr584391464nres_c ) > set_Pr57594146nres_c > set_Pr584391464nres_c ).
thf(tp_relAPP1311785006_c_c_c,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(tp_relAPP1313094511nres_d,type,
relAPP1313094511nres_d: ( set_Product_prod_b_d > set_Pr1640496404nres_d ) > set_Product_prod_b_d > set_Pr1640496404nres_d ).
thf(tp_relAPP1320504740_o_nat,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(tp_relAPP1326544636nt_int,type,
relAPP1326544636nt_int: ( set_Pr1858794777nt_int > set_Pr2110946351nt_int ) > set_Pr1858794777nt_int > set_Pr2110946351nt_int ).
thf(tp_relAPP1327809903nres_c,type,
relAPP1327809903nres_c: ( set_Pr426609621nres_d > set_Pr181592673nres_c > set_Pr1245537056nres_c ) > set_Pr426609621nres_d > set_Pr181592673nres_c > set_Pr1245537056nres_c ).
thf(tp_relAPP1339734044nt_o_o,type,
relAPP1339734044nt_o_o: ( set_Product_prod_o_o > set_Pr1495585653nt_o_o ) > set_Product_prod_o_o > set_Pr1495585653nt_o_o ).
thf(tp_relAPP1354295571nres_d,type,
relAPP1354295571nres_d: ( set_Pr797615136nres_d > set_Pr2080238504nres_d ) > set_Pr797615136nres_d > set_Pr2080238504nres_d ).
thf(tp_relAPP1388319497nres_d,type,
relAPP1388319497nres_d: ( set_Pr1824526846nres_d > set_Pr613277282nres_d ) > set_Pr1824526846nres_d > set_Pr613277282nres_d ).
thf(tp_relAPP1396672239nres_d,type,
relAPP1396672239nres_d: ( set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).
thf(tp_relAPP1405467716at_nat,type,
relAPP1405467716at_nat: ( set_Pr1986765409at_nat > set_Pr1357842111at_nat ) > set_Pr1986765409at_nat > set_Pr1357842111at_nat ).
thf(tp_relAPP1405476647nres_d,type,
relAPP1405476647nres_d: ( set_Pr1434142398nres_d > set_Pr1640496404nres_d > set_Pr451158306nres_d ) > set_Pr1434142398nres_d > set_Pr1640496404nres_d > set_Pr451158306nres_d ).
thf(tp_relAPP1482036727nres_d,type,
relAPP1482036727nres_d: ( set_Pr589481214nres_d > set_Pr1537816964nres_d ) > set_Pr589481214nres_d > set_Pr1537816964nres_d ).
thf(tp_relAPP1483117353nres_b,type,
relAPP1483117353nres_b: ( set_Pr896671762nres_b > set_Pr512944190nres_b ) > set_Pr896671762nres_b > set_Pr512944190nres_b ).
thf(tp_relAPP1516271854_nat_o,type,
relAPP1516271854_nat_o: ( set_Product_prod_o_o > set_Pr310822599_nat_o ) > set_Product_prod_o_o > set_Pr310822599_nat_o ).
thf(tp_relAPP1523780267nres_b,type,
relAPP1523780267nres_b: ( set_Pr1176961680nres_b > set_Pr42712642nres_b ) > set_Pr1176961680nres_b > set_Pr42712642nres_b ).
thf(tp_relAPP1525934692_c_o_o,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(tp_relAPP1536875909nres_b,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(tp_relAPP1552964229nres_d,type,
relAPP1552964229nres_d: ( set_Pr1640496404nres_d > set_Pr1824526846nres_d ) > set_Pr1640496404nres_d > set_Pr1824526846nres_d ).
thf(tp_relAPP1559031491nres_c,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(tp_relAPP1562327022_o_c_c,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(tp_relAPP1564590053nres_c,type,
relAPP1564590053nres_c: ( set_Pr1128439124nres_c > set_Pr979578428nres_c ) > set_Pr1128439124nres_c > set_Pr979578428nres_c ).
thf(tp_relAPP1569030304_nat_o,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(tp_relAPP1579117490_o_o_o,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(tp_relAPP1591113530_o_o_o,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(tp_relAPP1600683502_nat_c,type,
relAPP1600683502_nat_c: ( set_Product_prod_a_c > set_Pr933902153_nat_c ) > set_Product_prod_a_c > set_Pr933902153_nat_c ).
thf(tp_relAPP1603180590nt_o_o,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(tp_relAPP1620826092_int_o,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(tp_relAPP1642956907nres_a,type,
relAPP1642956907nres_a: ( set_Product_prod_a_a > set_Pr384614482nres_a ) > set_Product_prod_a_a > set_Pr384614482nres_a ).
thf(tp_relAPP1647806368_nat_c,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(tp_relAPP1659518317nres_d,type,
relAPP1659518317nres_d: ( set_Pr797615136nres_d > set_Pr1712866168nres_d ) > set_Pr797615136nres_d > set_Pr1712866168nres_d ).
thf(tp_relAPP1676317369nres_d,type,
relAPP1676317369nres_d: ( set_Pr1640496404nres_d > set_Pr451158306nres_d ) > set_Pr1640496404nres_d > set_Pr451158306nres_d ).
thf(tp_relAPP16974672_nat_o,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(tp_relAPP1699156520nres_c,type,
relAPP1699156520nres_c: ( set_Pr194842259nres_c > set_Pr409172028nres_c ) > set_Pr194842259nres_c > set_Pr409172028nres_c ).
thf(tp_relAPP1711926383nres_d,type,
relAPP1711926383nres_d: ( set_Pr1640496404nres_d > set_Pr451158306nres_d > set_Pr794589344nres_d ) > set_Pr1640496404nres_d > set_Pr451158306nres_d > set_Pr794589344nres_d ).
thf(tp_relAPP171453998_nat_o,type,
relAPP171453998_nat_o: ( set_Pr1659864199_nat_o > set_Pr524661639_nat_o ) > set_Pr1659864199_nat_o > set_Pr524661639_nat_o ).
thf(tp_relAPP1716516381nres_d,type,
relAPP1716516381nres_d: ( set_Pr589481214nres_d > set_Pr1824526846nres_d > set_Pr613277282nres_d ) > set_Pr589481214nres_d > set_Pr1824526846nres_d > set_Pr613277282nres_d ).
thf(tp_relAPP1723270664_o_o_o,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(tp_relAPP173519167nres_c,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(tp_relAPP1740535279nres_b,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(tp_relAPP1747515631nres_b,type,
relAPP1747515631nres_b: ( set_Pr664904400nres_a > set_Pr1402127136nres_b > set_Pr1436380704nres_b ) > set_Pr664904400nres_a > set_Pr1402127136nres_b > set_Pr1436380704nres_b ).
thf(tp_relAPP1750172554_o_o_c,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(tp_relAPP1763648999nres_c,type,
relAPP1763648999nres_c: ( set_Pr409172028nres_c > set_Pr194842259nres_c > set_Pr181592673nres_c ) > set_Pr409172028nres_c > set_Pr194842259nres_c > set_Pr181592673nres_c ).
thf(tp_relAPP1766880508nt_nat,type,
relAPP1766880508nt_nat: ( set_Pr1986765409at_nat > set_Pr1719254903nt_nat ) > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ).
thf(tp_relAPP1770679164_int_o,type,
relAPP1770679164_int_o: ( set_Pr1435428853_int_o > set_Pr1351316363_int_o ) > set_Pr1435428853_int_o > set_Pr1351316363_int_o ).
thf(tp_relAPP177337967nres_c,type,
relAPP177337967nres_c: ( set_Pr1128439124nres_c > set_Pr404050976nres_c > set_Pr882593184nres_c ) > set_Pr1128439124nres_c > set_Pr404050976nres_c > set_Pr882593184nres_c ).
thf(tp_relAPP1774615993nres_c,type,
relAPP1774615993nres_c: ( set_Pr1128439124nres_c > set_Pr404050976nres_c ) > set_Pr1128439124nres_c > set_Pr404050976nres_c ).
thf(tp_relAPP1774770060_o_c_c,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(tp_relAPP1784890619nres_c,type,
relAPP1784890619nres_c: ( set_Pr194842259nres_c > set_Pr181592673nres_c ) > set_Pr194842259nres_c > set_Pr181592673nres_c ).
thf(tp_relAPP1787540131nres_d,type,
relAPP1787540131nres_d: ( set_Pr1537816964nres_d > set_Pr1824526846nres_d > set_Pr1710101992nres_d ) > set_Pr1537816964nres_d > set_Pr1824526846nres_d > set_Pr1710101992nres_d ).
thf(tp_relAPP1790450405nres_c,type,
relAPP1790450405nres_c: ( set_Pr979578428nres_c > set_Pr1128439124nres_c > set_Pr57594146nres_c ) > set_Pr979578428nres_c > set_Pr1128439124nres_c > set_Pr57594146nres_c ).
thf(tp_relAPP1804623572_c_c_c,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(tp_relAPP1806806463nres_d,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(tp_relAPP1825452871nres_a,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(tp_relAPP1852927595nres_d,type,
relAPP1852927595nres_d: ( set_Product_prod_d_d > set_Pr1920786322nres_d ) > set_Product_prod_d_d > set_Pr1920786322nres_d ).
thf(tp_relAPP1853263758_a_o_c,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(tp_relAPP1865476078_o_o_o,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(tp_relAPP1879625150at_int,type,
relAPP1879625150at_int: ( set_Pr1986765409at_nat > set_Pr1858794777nt_int > set_Pr1749533559at_int ) > set_Pr1986765409at_nat > set_Pr1858794777nt_int > set_Pr1749533559at_int ).
thf(tp_relAPP1886573054_a_o_c,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(tp_relAPP1889825126_c_c_c,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(tp_relAPP1899039865nres_d,type,
relAPP1899039865nres_d: ( set_Pr1920786322nres_d > set_Pr1146978466nres_d ) > set_Pr1920786322nres_d > set_Pr1146978466nres_d ).
thf(tp_relAPP189920063nres_c,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(tp_relAPP1912873449nres_a,type,
relAPP1912873449nres_a: ( set_Product_prod_b_a > set_Pr1598501265nres_a ) > set_Product_prod_b_a > set_Pr1598501265nres_a ).
thf(tp_relAPP1936960811nres_b,type,
relAPP1936960811nres_b: ( set_Pr896671762nres_b > set_Pr1815766654nres_b ) > set_Pr896671762nres_b > set_Pr1815766654nres_b ).
thf(tp_relAPP1953591565nres_d,type,
relAPP1953591565nres_d: ( set_Pr797615136nres_d > set_Pr1640496404nres_d > set_Pr1824526846nres_d ) > set_Pr797615136nres_d > set_Pr1640496404nres_d > set_Pr1824526846nres_d ).
thf(tp_relAPP1957341080_nat_o,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(tp_relAPP1963072942nt_o_o,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(tp_relAPP1977623725nres_b,type,
relAPP1977623725nres_b: ( set_Pr1176961680nres_b > set_Pr1345535106nres_b ) > set_Pr1176961680nres_b > set_Pr1345535106nres_b ).
thf(tp_relAPP1989008800_nat_o,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(tp_relAPP1991857966nt_int,type,
relAPP1991857966nt_int: ( set_Pr1858794777nt_int > set_Pr1858794777nt_int > set_Pr2110946351nt_int ) > set_Pr1858794777nt_int > set_Pr1858794777nt_int > set_Pr2110946351nt_int ).
thf(tp_relAPP1996600361nres_d,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(tp_relAPP200810762_o_o_o,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(tp_relAPP2017502121nres_c,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(tp_relAPP2018433511nres_c,type,
relAPP2018433511nres_c: ( set_Pr1128439124nres_c > set_Pr134917244nres_c ) > set_Pr1128439124nres_c > set_Pr134917244nres_c ).
thf(tp_relAPP2032940527nres_d,type,
relAPP2032940527nres_d: ( set_Pr1408729042nres_c > set_Pr1146978466nres_d > set_Pr642586912nres_d ) > set_Pr1408729042nres_c > set_Pr1146978466nres_d > set_Pr642586912nres_d ).
thf(tp_relAPP2059096425nres_c,type,
relAPP2059096425nres_c: ( set_Pr1408729042nres_c > set_Pr1812169344nres_c ) > set_Pr1408729042nres_c > set_Pr1812169344nres_c ).
thf(tp_relAPP2073227843nres_b,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(tp_relAPP2095637113nres_b,type,
relAPP2095637113nres_b: ( set_Pr896671762nres_b > set_Pr1052763806nres_b ) > set_Pr896671762nres_b > set_Pr1052763806nres_b ).
thf(tp_relAPP2103870142at_o_o,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(tp_relAPP2105552994_o_o_o,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(tp_relAPP2129980178_o_c_c,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(tp_relAPP237429680_a_c_c,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(tp_relAPP267275756_o_int,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(tp_relAPP274646254_nat_o,type,
relAPP274646254_nat_o: ( set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ) > set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ).
thf(tp_relAPP281291371nres_b,type,
relAPP281291371nres_b: ( set_Product_prod_b_b > set_Pr896671762nres_b ) > set_Product_prod_b_b > set_Pr896671762nres_b ).
thf(tp_relAPP35306343nres_a,type,
relAPP35306343nres_a: ( set_Product_prod_c_a > set_Pr664904400nres_a ) > set_Product_prod_c_a > set_Pr664904400nres_a ).
thf(tp_relAPP371694684_int_o,type,
relAPP371694684_int_o: ( set_Pr94755271_int_o > set_Pr1435428853_int_o ) > set_Pr94755271_int_o > set_Pr1435428853_int_o ).
thf(tp_relAPP38185259nres_b,type,
relAPP38185259nres_b: ( set_Pr1345535106nres_b > set_Pr1176961680nres_b > set_Pr1402127136nres_b ) > set_Pr1345535106nres_b > set_Pr1176961680nres_b > set_Pr1402127136nres_b ).
thf(tp_relAPP412764446_o_c_c,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(tp_relAPP422583323nres_d,type,
relAPP422583323nres_d: ( set_Pr1128439124nres_c > set_Pr1712866168nres_d > set_Pr1614046668nres_d ) > set_Pr1128439124nres_c > set_Pr1712866168nres_d > set_Pr1614046668nres_d ).
thf(tp_relAPP432724078_nat_o,type,
relAPP432724078_nat_o: ( set_Pr310822599_nat_o > set_Pr1659864199_nat_o ) > set_Pr310822599_nat_o > set_Pr1659864199_nat_o ).
thf(tp_relAPP439940547nres_a,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(tp_relAPP446928935nres_d,type,
relAPP446928935nres_d: ( set_Pr1640496404nres_d > set_Pr1434142398nres_d ) > set_Pr1640496404nres_d > set_Pr1434142398nres_d ).
thf(tp_relAPP456341443nres_a,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(tp_relAPP483050597nres_c,type,
relAPP483050597nres_c: ( set_Pr134917244nres_c > set_Pr1128439124nres_c > set_Pr404050976nres_c ) > set_Pr134917244nres_c > set_Pr1128439124nres_c > set_Pr404050976nres_c ).
thf(tp_relAPP486948753nres_d,type,
relAPP486948753nres_d: ( set_Pr451158306nres_d > set_Pr1413987240nres_d ) > set_Pr451158306nres_d > set_Pr1413987240nres_d ).
thf(tp_relAPP489595641nres_c,type,
relAPP489595641nres_c: ( set_Pr1128439124nres_c > set_Pr57594146nres_c ) > set_Pr1128439124nres_c > set_Pr57594146nres_c ).
thf(tp_relAPP492592111nres_c,type,
relAPP492592111nres_c: ( set_Pr1640496404nres_d > set_Pr57594146nres_c > set_Pr1652381728nres_c ) > set_Pr1640496404nres_d > set_Pr57594146nres_c > set_Pr1652381728nres_c ).
thf(tp_relAPP508483205nres_d,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(tp_relAPP511982311nres_d,type,
relAPP511982311nres_d: ( set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr797615136nres_d > set_Pr24800800nres_d ).
thf(tp_relAPP527276399nres_c,type,
relAPP527276399nres_c: ( set_Product_prod_a_c > set_Pr1128439124nres_c ) > set_Product_prod_a_c > set_Pr1128439124nres_c ).
thf(tp_relAPP556082542_int_o,type,
relAPP556082542_int_o: ( set_Pr94755271_int_o > set_Pr1320171143_int_o ) > set_Pr94755271_int_o > set_Pr1320171143_int_o ).
thf(tp_relAPP560972006_nat_o,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(tp_relAPP587861290nres_a,type,
relAPP587861290nres_a: ( set_Pr1598501265nres_a > set_Pr1635457468nres_a ) > set_Pr1598501265nres_a > set_Pr1635457468nres_a ).
thf(tp_relAPP589338430_c_o_o,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(tp_relAPP630143064_int_o,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(tp_relAPP691268197nres_d,type,
relAPP691268197nres_d: ( set_Pr451158306nres_d > set_Pr794589344nres_d ) > set_Pr451158306nres_d > set_Pr794589344nres_d ).
thf(tp_relAPP704164370_o_o_o,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(tp_relAPP709871101nres_c,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(tp_relAPP720329701nres_d,type,
relAPP720329701nres_d: ( set_Pr1146978466nres_d > set_Pr642586912nres_d ) > set_Pr1146978466nres_d > set_Pr642586912nres_d ).
thf(tp_relAPP745136137nres_d,type,
relAPP745136137nres_d: ( set_Pr1824526846nres_d > set_Pr1710101992nres_d ) > set_Pr1824526846nres_d > set_Pr1710101992nres_d ).
thf(tp_relAPP745269862nres_c,type,
relAPP745269862nres_c: ( set_Pr181592673nres_c > set_Pr1245537056nres_c ) > set_Pr181592673nres_c > set_Pr1245537056nres_c ).
thf(tp_relAPP752865152_nat_o,type,
relAPP752865152_nat_o: ( set_Pr1659864199_nat_o > set_Pr766923865_nat_o ) > set_Pr1659864199_nat_o > set_Pr766923865_nat_o ).
thf(tp_relAPP759382665nres_d,type,
relAPP759382665nres_d: ( set_Pr24800800nres_d > set_Pr797615136nres_d > set_Pr1712866168nres_d ) > set_Pr24800800nres_d > set_Pr797615136nres_d > set_Pr1712866168nres_d ).
thf(tp_relAPP765626983nres_c,type,
relAPP765626983nres_c: ( set_Pr404050976nres_c > set_Pr882593184nres_c ) > set_Pr404050976nres_c > set_Pr882593184nres_c ).
thf(tp_relAPP774904585nres_b,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(tp_relAPP797192941nres_c,type,
relAPP797192941nres_c: ( set_Product_prod_b_c > set_Pr194842259nres_c ) > set_Product_prod_b_c > set_Pr194842259nres_c ).
thf(tp_relAPP811277159nres_a,type,
relAPP811277159nres_a: ( set_Pr1635457468nres_a > set_Pr1598501265nres_a > set_Pr436741343nres_a ) > set_Pr1635457468nres_a > set_Pr1598501265nres_a > set_Pr436741343nres_a ).
thf(tp_relAPP813854073nres_d,type,
relAPP813854073nres_d: ( set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr1640496404nres_d > set_Pr797615136nres_d ).
thf(tp_relAPP821124455nres_b,type,
relAPP821124455nres_b: ( set_Product_prod_d_b > set_Pr1176961680nres_b ) > set_Product_prod_d_b > set_Pr1176961680nres_b ).
thf(tp_relAPP829628004_o_o_o,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(tp_relAPP845892106_nat_o,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(tp_relAPP869047273nres_b,type,
relAPP869047273nres_b: ( set_Pr1052763806nres_b > set_Pr818594592nres_b ) > set_Pr1052763806nres_b > set_Pr818594592nres_b ).
thf(tp_relAPP887115074_a_c_c,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(tp_relAPP900772393nres_d,type,
relAPP900772393nres_d: ( set_Pr1640496404nres_d > set_Pr589481214nres_d ) > set_Pr1640496404nres_d > set_Pr589481214nres_d ).
thf(tp_relAPP907138281nres_a,type,
relAPP907138281nres_a: ( set_Pr384614482nres_a > set_Pr1361202684nres_a ) > set_Pr384614482nres_a > set_Pr1361202684nres_a ).
thf(tp_relAPP91071253nres_b,type,
relAPP91071253nres_b: ( set_Pr1052763806nres_b > set_Pr1358127528nres_b ) > set_Pr1052763806nres_b > set_Pr1358127528nres_b ).
thf(tp_relAPP912835148_o_nat,type,
relAPP912835148_o_nat: ( set_Pr1986765409at_nat > set_Pr343524935_o_nat ) > set_Pr1986765409at_nat > set_Pr343524935_o_nat ).
thf(tp_relAPP913737114_o_o_o,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(tp_relAPP916474178_o_o_o,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(tp_relAPP919190011nres_a,type,
relAPP919190011nres_a: ( set_Pr1598501265nres_a > set_Pr436741343nres_a ) > set_Pr1598501265nres_a > set_Pr436741343nres_a ).
thf(tp_relAPP92429436nt_o_o,type,
relAPP92429436nt_o_o: ( set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ) > set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ).
thf(tp_relAPP941435307nres_d,type,
relAPP941435307nres_d: ( set_Pr1920786322nres_d > set_Pr119249666nres_d ) > set_Pr1920786322nres_d > set_Pr119249666nres_d ).
thf(tp_relAPP944912869nres_c,type,
relAPP944912869nres_c: ( set_Pr57594146nres_c > set_Pr1652381728nres_c ) > set_Pr57594146nres_c > set_Pr1652381728nres_c ).
thf(tp_relAPP94675694_int_c,type,
relAPP94675694_int_c: ( set_Product_prod_a_c > set_Pr1575377993_int_c ) > set_Product_prod_a_c > set_Pr1575377993_int_c ).
thf(tp_relAPP947801195nres_a,type,
relAPP947801195nres_a: ( set_Pr664904400nres_a > set_Pr890971136nres_a ) > set_Pr664904400nres_a > set_Pr890971136nres_a ).
thf(tp_relAPP958748846_int_o,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(tp_relAPP965131844at_int,type,
relAPP965131844at_int: ( set_Pr1858794777nt_int > set_Pr1749533559at_int ) > set_Pr1858794777nt_int > set_Pr1749533559at_int ).
thf(tp_relAPP967602156nt_o_o,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(tp_relAPP970620078_o_o_c,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(tp_relAPP98076839nres_d,type,
relAPP98076839nres_d: ( set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).
thf(tp_relAPP981449866_c_c_c,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(tp_relAPP990557099nres_d,type,
relAPP990557099nres_d: ( set_Pr119249666nres_d > set_Pr1920786322nres_d > set_Pr1146978466nres_d ) > set_Pr119249666nres_d > set_Pr1920786322nres_d > set_Pr1146978466nres_d ).
thf(tp_relAPP998488211nres_c,type,
relAPP998488211nres_c: ( set_Pr404050976nres_c > set_Pr1250642728nres_c ) > set_Pr404050976nres_c > set_Pr1250642728nres_c ).
thf(74,axiom,
! [X: c,F: c > refine449204144nres_d] :
( ( refine2092371655nd_c_d @ ( refine2063221606TURN_c @ X ) @ F )
= ( F @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_276_nres__monad1) ).
thf(75,axiom,
! [X: a,F: a > refine432681134nres_b] :
( ( refine436832839nd_a_b @ ( refine2063221604TURN_a @ X ) @ F )
= ( F @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_275_nres__monad1) ).
thf(166,axiom,
( relAPP1270454529nres_d
= ( ^ [F3: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] : F3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_184_relAPP__def) ).
thf(167,axiom,
( relAPP527276399nres_c
= ( ^ [F3: set_Product_prod_a_c > set_Pr1128439124nres_c] : F3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_183_relAPP__def) ).
thf(168,axiom,
( relAPP1313094511nres_d
= ( ^ [F3: set_Product_prod_b_d > set_Pr1640496404nres_d] : F3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_relAPP__def) ).
thf(169,axiom,
( relAPP98076839nres_d
= ( ^ [F3: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] : F3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_181_relAPP__def) ).
thf(170,axiom,
( relAPP511982311nres_d
= ( ^ [F3: set_Pr797615136nres_d > set_Pr24800800nres_d] : F3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_relAPP__def) ).
thf(346,axiom,
! [Ra: set_Product_prod_a_c,Rb: 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 @ Ra ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ Ra ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Rb ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Rb ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_param__bind) ).
thf(351,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) ).
thf(352,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 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[351]) ).
thf(353,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 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[352]) ).
thf(354,plain,
( ( ! [X: c,F: c > refine449204144nres_d] :
( ( refine2092371655nd_c_d @ ( refine2063221606TURN_c @ X ) @ F )
= ( F @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(355,plain,
( ( ! [X: a,F: a > refine432681134nres_b] :
( ( refine436832839nd_a_b @ ( refine2063221604TURN_a @ X ) @ F )
= ( F @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(356,plain,
( ( relAPP1270454529nres_d
= ( ^ [F3: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] : F3 ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(357,plain,
( ( relAPP527276399nres_c
= ( ^ [F3: set_Product_prod_a_c > set_Pr1128439124nres_c] : F3 ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(358,plain,
( ( relAPP1313094511nres_d
= ( ^ [F3: set_Product_prod_b_d > set_Pr1640496404nres_d] : F3 ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(359,plain,
( ( relAPP98076839nres_d
= ( ^ [F3: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] : F3 ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(360,plain,
( ( relAPP511982311nres_d
= ( ^ [F3: set_Pr797615136nres_d > set_Pr24800800nres_d] : F3 ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(361,plain,
( ( ! [Ra: set_Product_prod_a_c,Rb: 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 @ Ra ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ Ra ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Rb ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Rb ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(362,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(polarity_switch,[status(thm)],[353]) ).
thf(363,plain,
( ( ! [Ra: set_Product_prod_a_c,Rb: 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 @ Ra ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ Ra ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Rb ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Rb ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(364,plain,
( ( relAPP511982311nres_d
= ( ^ [F3: set_Pr797615136nres_d > set_Pr24800800nres_d] : F3 ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(365,plain,
( ( relAPP98076839nres_d
= ( ^ [F3: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] : F3 ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(366,plain,
( ( relAPP1313094511nres_d
= ( ^ [F3: set_Product_prod_b_d > set_Pr1640496404nres_d] : F3 ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(367,plain,
( ( relAPP527276399nres_c
= ( ^ [F3: set_Product_prod_a_c > set_Pr1128439124nres_c] : F3 ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(368,plain,
( ( relAPP1270454529nres_d
= ( ^ [F3: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] : F3 ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(369,plain,
( ( ! [X: a,F: a > refine432681134nres_b] :
( ( refine436832839nd_a_b @ ( refine2063221604TURN_a @ X ) @ F )
= ( F @ X ) ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(370,plain,
( ( ! [X: c,F: c > refine449204144nres_d] :
( ( refine2092371655nd_c_d @ ( refine2063221606TURN_c @ X ) @ F )
= ( F @ X ) ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(371,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(copy,[status(thm)],[362]) ).
thf(372,plain,
! [SV1: set_Product_prod_a_c] :
( ( ! [SY11: 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 @ SV1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ SV1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ SY11 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ SY11 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(373,plain,
( ( ! [SV2: set_Pr797615136nres_d > set_Pr24800800nres_d] :
( ( relAPP511982311nres_d @ SV2 )
= SV2 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[364]) ).
thf(374,plain,
( ( relAPP511982311nres_d
= ( ^ [F3: set_Pr797615136nres_d > set_Pr24800800nres_d] : F3 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[364]) ).
thf(375,plain,
( ( ! [SV3: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] :
( ( relAPP98076839nres_d @ SV3 )
= SV3 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[365]) ).
thf(376,plain,
( ( relAPP98076839nres_d
= ( ^ [F3: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] : F3 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[365]) ).
thf(377,plain,
( ( ! [SV4: set_Product_prod_b_d > set_Pr1640496404nres_d] :
( ( relAPP1313094511nres_d @ SV4 )
= SV4 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[366]) ).
thf(378,plain,
( ( relAPP1313094511nres_d
= ( ^ [F3: set_Product_prod_b_d > set_Pr1640496404nres_d] : F3 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[366]) ).
thf(379,plain,
( ( ! [SV5: set_Product_prod_a_c > set_Pr1128439124nres_c] :
( ( relAPP527276399nres_c @ SV5 )
= SV5 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[367]) ).
thf(380,plain,
( ( relAPP527276399nres_c
= ( ^ [F3: set_Product_prod_a_c > set_Pr1128439124nres_c] : F3 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[367]) ).
thf(381,plain,
( ( ! [SV6: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] :
( ( relAPP1270454529nres_d @ SV6 )
= SV6 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[368]) ).
thf(382,plain,
( ( relAPP1270454529nres_d
= ( ^ [F3: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] : F3 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[368]) ).
thf(383,plain,
! [SV7: a] :
( ( ! [SY12: a > refine432681134nres_b] :
( ( refine436832839nd_a_b @ ( refine2063221604TURN_a @ SV7 ) @ SY12 )
= ( SY12 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(384,plain,
! [SV8: c] :
( ( ! [SY13: c > refine449204144nres_d] :
( ( refine2092371655nd_c_d @ ( refine2063221606TURN_c @ SV8 ) @ SY13 )
= ( SY13 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(385,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 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(386,plain,
! [SV9: set_Product_prod_b_d,SV1: set_Product_prod_a_c] :
( ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ SV1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ SV1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ SV9 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(387,plain,
! [SV10: set_Pr797615136nres_d > set_Pr24800800nres_d] :
( ( ( relAPP511982311nres_d @ SV10 )
= SV10 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(388,plain,
! [SV11: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] :
( ( ( relAPP98076839nres_d @ SV11 )
= SV11 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(389,plain,
! [SV12: set_Product_prod_b_d > set_Pr1640496404nres_d] :
( ( ( relAPP1313094511nres_d @ SV12 )
= SV12 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(390,plain,
! [SV13: set_Product_prod_a_c > set_Pr1128439124nres_c] :
( ( ( relAPP527276399nres_c @ SV13 )
= SV13 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(391,plain,
! [SV14: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] :
( ( ( relAPP1270454529nres_d @ SV14 )
= SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(392,plain,
! [SV15: a > refine432681134nres_b,SV7: a] :
( ( ( refine436832839nd_a_b @ ( refine2063221604TURN_a @ SV7 ) @ SV15 )
= ( SV15 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(393,plain,
! [SV16: c > refine449204144nres_d,SV8: c] :
( ( ( refine2092371655nd_c_d @ ( refine2063221606TURN_c @ SV8 ) @ SV16 )
= ( SV16 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(394,plain,
! [SV10: set_Pr797615136nres_d > set_Pr24800800nres_d] :
( ( ! [SV17: set_Pr797615136nres_d] :
( ( relAPP511982311nres_d @ SV10 @ SV17 )
= ( SV10 @ SV17 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[387]) ).
thf(395,plain,
! [SV10: set_Pr797615136nres_d > set_Pr24800800nres_d] :
( ( ( relAPP511982311nres_d @ SV10 )
= SV10 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[387]) ).
thf(396,plain,
! [SV11: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] :
( ( ! [SV18: set_Pr589481214nres_d] :
( ( relAPP98076839nres_d @ SV11 @ SV18 )
= ( SV11 @ SV18 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[388]) ).
thf(397,plain,
! [SV11: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] :
( ( ( relAPP98076839nres_d @ SV11 )
= SV11 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[388]) ).
thf(398,plain,
! [SV12: set_Product_prod_b_d > set_Pr1640496404nres_d] :
( ( ! [SV19: set_Product_prod_b_d] :
( ( relAPP1313094511nres_d @ SV12 @ SV19 )
= ( SV12 @ SV19 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[389]) ).
thf(399,plain,
! [SV12: set_Product_prod_b_d > set_Pr1640496404nres_d] :
( ( ( relAPP1313094511nres_d @ SV12 )
= SV12 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[389]) ).
thf(400,plain,
! [SV13: set_Product_prod_a_c > set_Pr1128439124nres_c] :
( ( ! [SV20: set_Product_prod_a_c] :
( ( relAPP527276399nres_c @ SV13 @ SV20 )
= ( SV13 @ SV20 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[390]) ).
thf(401,plain,
! [SV13: set_Product_prod_a_c > set_Pr1128439124nres_c] :
( ( ( relAPP527276399nres_c @ SV13 )
= SV13 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[390]) ).
thf(402,plain,
! [SV14: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] :
( ( ! [SV21: set_Product_prod_a_c] :
( ( relAPP1270454529nres_d @ SV14 @ SV21 )
= ( SV14 @ SV21 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[391]) ).
thf(403,plain,
! [SV14: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] :
( ( ( relAPP1270454529nres_d @ SV14 )
= SV14 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[391]) ).
thf(404,plain,
! [SV22: set_Pr797615136nres_d,SV10: set_Pr797615136nres_d > set_Pr24800800nres_d] :
( ( ( relAPP511982311nres_d @ SV10 @ SV22 )
= ( SV10 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(405,plain,
! [SV23: set_Pr589481214nres_d,SV11: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] :
( ( ( relAPP98076839nres_d @ SV11 @ SV23 )
= ( SV11 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(406,plain,
! [SV24: set_Product_prod_b_d,SV12: set_Product_prod_b_d > set_Pr1640496404nres_d] :
( ( ( relAPP1313094511nres_d @ SV12 @ SV24 )
= ( SV12 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(407,plain,
! [SV25: set_Product_prod_a_c,SV13: set_Product_prod_a_c > set_Pr1128439124nres_c] :
( ( ( relAPP527276399nres_c @ SV13 @ SV25 )
= ( SV13 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(408,plain,
! [SV26: set_Product_prod_a_c,SV14: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] :
( ( ( relAPP1270454529nres_d @ SV14 @ SV26 )
= ( SV14 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(409,plain,
! [SV23: set_Pr589481214nres_d,SV11: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] :
( ( ! [SV27: set_Pr1640496404nres_d] :
( ( relAPP98076839nres_d @ SV11 @ SV23 @ SV27 )
= ( SV11 @ SV23 @ SV27 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[405]) ).
thf(410,plain,
! [SV23: set_Pr589481214nres_d,SV11: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] :
( ( ( relAPP98076839nres_d @ SV11 @ SV23 )
= ( SV11 @ SV23 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[405]) ).
thf(411,plain,
! [SV26: set_Product_prod_a_c,SV14: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] :
( ( ! [SV28: set_Pr1640496404nres_d] :
( ( relAPP1270454529nres_d @ SV14 @ SV26 @ SV28 )
= ( SV14 @ SV26 @ SV28 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[408]) ).
thf(412,plain,
! [SV26: set_Product_prod_a_c,SV14: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] :
( ( ( relAPP1270454529nres_d @ SV14 @ SV26 )
= ( SV14 @ SV26 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[408]) ).
thf(413,plain,
! [SV29: set_Pr1640496404nres_d,SV23: set_Pr589481214nres_d,SV11: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] :
( ( ( relAPP98076839nres_d @ SV11 @ SV23 @ SV29 )
= ( SV11 @ SV23 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(414,plain,
! [SV30: set_Pr1640496404nres_d,SV26: set_Product_prod_a_c,SV14: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] :
( ( ( relAPP1270454529nres_d @ SV14 @ SV26 @ SV30 )
= ( SV14 @ SV26 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(415,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[374,414,413,412,410,407,406,404,403,401,399,397,395,393,392,386,385,382,380,378,376]) ).
thf(416,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP160^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n015.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 11:22:12 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.30/0.94 ..
% 4.30/0.94
% 4.30/0.94 No.of.Axioms: 8
% 4.30/0.94
% 4.30/0.94 Length.of.Defs: 0
% 4.30/0.94
% 4.30/0.94 Contains.Choice.Funs: false
% 4.30/0.94 ....
% 4.30/0.94
% 4.30/0.94 ********************************
% 4.30/0.94 * All subproblems solved! *
% 4.30/0.94 ********************************
% 4.30/0.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:8,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:415,loop_count:0,foatp_calls:1,translation:fof_full)
% 4.30/0.94
% 4.30/0.94 %**** Beginning of derivation protocol ****
% 4.30/0.94 % SZS output start CNFRefutation
% See solution above
% 4.30/0.94
% 4.30/0.94 %**** End of derivation protocol ****
% 4.30/0.94 %**** no. of clauses in derivation: 74 ****
% 4.30/0.94 %**** clause counter: 415 ****
% 4.30/0.94
% 4.30/0.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:8,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:415,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------