DT2H2X---1.9.5.THM-Ref.s

%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SEU782^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Feb 25 09:37:09 AM UTC 2026

% Result   : Theorem 162.50s 24.46s
% Output   : Refutation 162.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  100 (  37 unt;   0 typ;   4 def)
%            Number of atoms       : 5119 (1383 equ;   0 cnn)
%            Maximal formula atoms :  301 (  51 avg)
%            Number of connectives : 2869 (  84   ~;  75   |; 925   &; 565   @)
%                                         (   9 <=>;1211  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  308 (  25 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 2188 (2185 usr; 314 con; 0-6 aty)
%            Number of variables   :  171 (  45   ^;  94   !;  32   ?; 171   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    in: $i > $i > $o ).

thf(func_def_1,type,
    exu: ( $i > $o ) > $o ).

thf(func_def_6,type,
    setadjoin: $i > $i > $i ).

thf(func_def_8,type,
    powerset: $i > $i ).

thf(func_def_10,type,
    setunion: $i > $i ).

thf(func_def_19,type,
    descr: ( $i > $o ) > $i ).

thf(func_def_21,type,
    dsetconstr: $i > ( $i > $o ) > $i ).

thf(func_def_26,type,
    prop2set: $o > $i ).

thf(func_def_36,type,
    nonempty: $i > $o ).

thf(func_def_69,type,
    set2prop: $i > $o ).

thf(func_def_88,type,
    subset: $i > $i > $o ).

thf(func_def_89,type,
    disjoint: $i > $i > $o ).

thf(func_def_90,type,
    setsmeet: $i > $i > $o ).

thf(func_def_114,type,
    binunion: $i > $i > $i ).

thf(func_def_122,type,
    binintersect: $i > $i > $i ).

thf(func_def_135,type,
    regular: $i > $o ).

thf(func_def_136,type,
    setminus: $i > $i > $i ).

thf(func_def_147,type,
    symdiff: $i > $i > $i ).

thf(func_def_153,type,
    iskpair: $i > $o ).

thf(func_def_158,type,
    kpair: $i > $i > $i ).

thf(func_def_160,type,
    cartprod: $i > $i > $i ).

thf(func_def_177,type,
    singleton: $i > $o ).

thf(func_def_179,type,
    ex1: $i > ( $i > $o ) > $o ).

thf(func_def_184,type,
    atmost1p: $i > $o ).

thf(func_def_185,type,
    atleast2p: $i > $o ).

thf(func_def_186,type,
    atmost2p: $i > $o ).

thf(func_def_187,type,
    upairsetp: $i > $o ).

thf(func_def_191,type,
    kfst: $i > $i ).

thf(func_def_203,type,
    ksnd: $i > $i ).

thf(func_def_213,type,
    breln: $i > $i > $i > $o ).

thf(func_def_214,type,
    dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).

thf(func_def_222,type,
    func: $i > $i > $i > $o ).

thf(func_def_223,type,
    funcSet: $i > $i > $i ).

thf(func_def_226,type,
    ap: $i > $i > $i > $i > $i ).

thf(func_def_232,type,
    lam: $i > $i > ( $i > $i ) > $i ).

thf(func_def_259,type,
    if: $i > $o > $i > $i > $i ).

thf(func_def_323,type,
    breln1: $i > $i > $o ).

thf(func_def_325,type,
    breln1Set: $i > $i ).

thf(func_def_327,type,
    transitive: $i > $i > $o ).

thf(func_def_328,type,
    antisymmetric: $i > $i > $o ).

thf(func_def_329,type,
    reflexive: $i > $i > $o ).

thf(func_def_330,type,
    refltransitive: $i > $i > $o ).

thf(func_def_331,type,
    refllinearorder: $i > $i > $o ).

thf(func_def_332,type,
    reflwellordering: $i > $i > $o ).

thf(func_def_338,type,
    breln1invset: $i > $i > $i ).

thf(func_def_342,type,
    breln1compset: $i > $i > $i > $i ).

thf(func_def_363,type,
    sP3: $i > $i > $i > $o ).

thf(func_def_368,type,
    sP8: $i > $i > $i > $o > $o ).

thf(func_def_369,type,
    sP9: $i > $i > $i > $i > $o ).

thf(func_def_371,type,
    sP11: $i > $i > $i > $o ).

thf(func_def_373,type,
    sP13: $i > $i > $o ).

thf(func_def_374,type,
    sP14: $i > $o ).

thf(func_def_375,type,
    sP15: $i > $i > $o ).

thf(func_def_376,type,
    sP16: $i > $i > $o ).

thf(func_def_391,type,
    sK31: $o > $i > $i > $i > $i > $i > $i ).

thf(func_def_394,type,
    sK34: $i > $i > $o ).

thf(func_def_413,type,
    sK53: $i > $o ).

thf(func_def_419,type,
    sK59: $i > $o ).

thf(func_def_420,type,
    sK60: $i > $i ).

thf(func_def_421,type,
    sK61: ( $i > $o ) > $i ).

thf(func_def_426,type,
    sK66: $i > $i ).

thf(func_def_452,type,
    sK92: $i > $o ).

thf(func_def_456,type,
    sK96: $i > $o ).

thf(func_def_457,type,
    sK97: $i > ( $i > $o ) > $i ).

thf(func_def_458,type,
    sK98: $i > $o ).

thf(func_def_461,type,
    sK101: $i > $o ).

thf(func_def_473,type,
    sK113: $i > $i > $o ).

thf(func_def_498,type,
    sK138: $i > $o ).

thf(func_def_505,type,
    sK145: $i > $i > ( $i > $i ) > $i ).

thf(func_def_506,type,
    sK146: $i > $i ).

thf(func_def_510,type,
    sK150: $i > $i > $i > $i ).

thf(func_def_511,type,
    sK151: $i > $i > $i > $i ).

thf(func_def_524,type,
    sK164: $i > $i > $i ).

thf(func_def_547,type,
    sK187: $i > $i ).

thf(func_def_572,type,
    sK212: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_573,type,
    sK213: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_574,type,
    sK214: $i > $o ).

thf(func_def_575,type,
    sK215: $i > $o ).

thf(func_def_582,type,
    sK222: $i > $i > $i > $i > $i ).

thf(func_def_592,type,
    sK232: $i > $i > $i > $i > $i ).

thf(func_def_593,type,
    sK233: $i > $i > $i > $i > $i ).

thf(func_def_594,type,
    sK234: $i > $i ).

thf(func_def_597,type,
    sK237: $i > $i > ( $i > $i ) > $i ).

thf(func_def_607,type,
    sK247: $i > $i > $i ).

thf(func_def_615,type,
    sK255: $i > $o ).

thf(func_def_618,type,
    sK258: $i > ( $i > $o ) > $i ).

thf(func_def_625,type,
    sK265: $i > $i > $i > $i > $i > $i ).

thf(func_def_626,type,
    sK266: ( $i > $o ) > $i > $i > $i ).

thf(func_def_627,type,
    sK267: ( $i > $o ) > $i > $i > $i ).

thf(func_def_630,type,
    sK270: $i > $o ).

thf(func_def_639,type,
    sK279: $i > $i > $o ).

thf(func_def_651,type,
    sK291: $i > $o ).

thf(func_def_652,type,
    sK292: ( $i > $o ) > $i ).

thf(func_def_662,type,
    sK302: $i > $o ).

thf(func_def_672,type,
    sK312: $i > $i > $i > $i ).

thf(func_def_673,type,
    sK313: $i > $i > $i > $i ).

thf(func_def_674,type,
    sK314: $i > $i > $i > $i ).

thf(func_def_675,type,
    sK315: $i > $i > $i > $i ).

thf(func_def_689,type,
    sK329: $i > ( $i > $o ) > $i ).

thf(func_def_690,type,
    sK330: $i > $o ).

thf(func_def_725,type,
    sK365: $i > $o ).

thf(func_def_727,type,
    sK367: ( $i > $o ) > $i > $i ).

thf(func_def_745,type,
    sK385: $i > $i > $o ).

thf(func_def_751,type,
    sK391: $i > $i ).

thf(func_def_753,type,
    sK393: $i > $o ).

thf(func_def_762,type,
    sK402: $i > $o ).

thf(func_def_764,type,
    sK404: ( $i > $o ) > $i > $i ).

thf(func_def_765,type,
    sK405: ( $i > $o ) > $i > $i ).

thf(func_def_772,type,
    sK412: $i > $o ).

thf(func_def_780,type,
    sK420: $i > $o ).

thf(func_def_782,type,
    sK422: ( $i > $o ) > $i > $i ).

thf(func_def_783,type,
    sK423: ( $i > $o ) > $i > $i ).

thf(func_def_789,type,
    sK429: $i > $o ).

thf(func_def_791,type,
    sK431: ( $i > $o ) > $i > $i > $i ).

thf(func_def_792,type,
    sK432: ( $i > $o ) > $i > $i > $i ).

thf(func_def_803,type,
    sK443: ( $i > $o ) > $i > $i > $i ).

thf(func_def_806,type,
    sK446: $i > $o ).

thf(func_def_811,type,
    sK451: $i > $i > $i > $i > $i ).

thf(func_def_812,type,
    sK452: $i > $i > $i > $i > $i ).

thf(func_def_813,type,
    sK453: $i > $i > $i > $i > $i ).

thf(func_def_814,type,
    sK454: $i > $i > $i > $i > $i ).

thf(func_def_818,type,
    sK458: $i > $i > $i ).

thf(func_def_821,type,
    sK461: ( $i > $i ) > $i > $i > $i ).

thf(func_def_824,type,
    sK464: $i > $i ).

thf(func_def_839,type,
    sK479: $i > $o ).

thf(func_def_842,type,
    sK482: $i > ( $i > $o ) > $i ).

thf(func_def_846,type,
    sK486: $i > $i > $o ).

thf(func_def_862,type,
    sK502: $i > $i ).

thf(func_def_870,type,
    sK510: ( $i > $o ) > $i > $i ).

thf(func_def_872,type,
    sK512: $i > $o ).

thf(func_def_878,type,
    sK518: ( $i > $o ) > $i > $i ).

thf(func_def_880,type,
    sK520: $i > $o ).

thf(func_def_895,type,
    sK535: $i > $o ).

thf(func_def_899,type,
    sK539: $i > $i > $i > $i ).

thf(func_def_900,type,
    sK540: $i > $i > $i > $i ).

thf(func_def_924,type,
    sK564: $i > $i ).

thf(func_def_927,type,
    sK567: $i > $i > ( $i > $i ) > $i ).

thf(func_def_936,type,
    sK576: $i > $i > $o ).

thf(func_def_940,type,
    sK580: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).

thf(func_def_941,type,
    sK581: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).

thf(func_def_944,type,
    sK584: $i > $o ).

thf(func_def_945,type,
    sK585: $i > $o ).

thf(func_def_956,type,
    sK596: $i > ( $i > $o ) > $i ).

thf(func_def_957,type,
    sK597: $i > $o ).

thf(func_def_966,type,
    sK606: $i > $o ).

thf(func_def_975,type,
    sK615: ( $i > $o ) > $i > $i > $i > $i ).

thf(func_def_976,type,
    sK616: ( $i > $o ) > $i > $i > $i > $i ).

thf(func_def_980,type,
    sK620: $i > $o ).

thf(func_def_989,type,
    sK629: $i > $i > $i > $i > $i ).

thf(func_def_1015,type,
    sK655: $i > $i > $i ).

thf(func_def_1019,type,
    sK659: $i > $o ).

thf(func_def_1021,type,
    sK661: ( $i > $o ) > $i > $i > $i > $i ).

thf(func_def_1022,type,
    sK662: ( $i > $o ) > $i > $i > $i > $i ).

thf(func_def_1040,type,
    sK680: $i > $i > $i > $i ).

thf(func_def_1053,type,
    sK693: $i > $i > $i ).

thf(func_def_1057,type,
    sK697: $i > $i > $i ).

thf(func_def_1067,type,
    sK707: $i > $i > $o ).

thf(func_def_1099,type,
    sK739: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_1100,type,
    sK740: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_1101,type,
    sK741: $i > $o ).

thf(func_def_1102,type,
    sK742: $i > $o ).

thf(func_def_1103,type,
    sK743: $o > $i > $i > $i ).

thf(func_def_1125,type,
    sK765: $i > $i > $i ).

thf(func_def_1128,type,
    sK768: $i > $i > $i ).

thf(func_def_1129,type,
    sK769: $i > $i > $i ).

thf(func_def_1136,type,
    sK776: $i > $i > $i ).

thf(func_def_1141,type,
    sK781: $i > $i ).

thf(func_def_1143,type,
    sK783: $i > $i ).

thf(func_def_1164,type,
    sK804: $i > $i > ( $i > $i ) > $i ).

thf(func_def_1165,type,
    sK805: $i > $i ).

thf(func_def_1172,type,
    sK812: ( $i > $o ) > $i ).

thf(func_def_1173,type,
    sK813: $i > $o ).

thf(func_def_1174,type,
    sK814: $i > $i ).

thf(func_def_1189,type,
    sK829: $i > $i > $i > $i ).

thf(func_def_1193,type,
    sK833: $i > ( $i > $i ) > $i > $i ).

thf(func_def_1195,type,
    sK835: $i > $i ).

thf(func_def_1200,type,
    sK840: ( $i > $o ) > $i > $i ).

thf(func_def_1202,type,
    sK842: $i > $o ).

thf(func_def_1211,type,
    sK851: $i > $i > $i > $i ).

thf(func_def_1212,type,
    sK852: $i > $i > $i > $i ).

thf(func_def_1214,type,
    sK854: $i > $i ).

thf(func_def_1225,type,
    sK865: $i > $o ).

thf(func_def_1230,type,
    sK870: $i > $o ).

thf(func_def_1236,type,
    sK876: $i > $i > $i > $i > $i ).

thf(func_def_1240,type,
    sK880: ( $i > $o ) > $i ).

thf(func_def_1241,type,
    sK881: ( $i > $o ) > $i ).

thf(func_def_1242,type,
    sK882: $i > $o ).

thf(func_def_1244,type,
    sK884: ( $i > $i > $o ) > $i > $i > $i ).

thf(func_def_1247,type,
    sK887: $i > $i > $o ).

thf(func_def_1250,type,
    sK890: $i > $i ).

thf(func_def_1262,type,
    sK902: $i > $i > $o ).

thf(func_def_1295,type,
    sK935: $i > $i > $o ).

thf(func_def_1296,type,
    sK936: $i > $i ).

thf(func_def_1297,type,
    sK937: $i > $i ).

thf(func_def_1298,type,
    sK938: ( $i > $i > $o ) > $i > $i ).

thf(func_def_1299,type,
    sK939: $i > ( $i > $i > $o ) > $i > $i ).

thf(func_def_1300,type,
    sK940: ( $i > $i > $o ) > $i > $i ).

thf(func_def_1306,type,
    sK946: $i > $o ).

thf(func_def_1311,type,
    sK951: $i > $i > $i ).

thf(func_def_1312,type,
    sK952: $i > $i > $i ).

thf(func_def_1313,type,
    sK953: $i > $i > $i ).

thf(func_def_1314,type,
    sK954: $i > $i > $i ).

thf(func_def_1315,type,
    sK955: $i > $i > $i > $i ).

thf(func_def_1316,type,
    sK956: $i > $i ).

thf(func_def_1317,type,
    sK957: $i > $i ).

thf(func_def_1318,type,
    sK958: $i > $i ).

thf(func_def_1319,type,
    sK959: $i > $i ).

thf(func_def_1320,type,
    sK960: $i > $i > $i > $i ).

thf(func_def_1321,type,
    sK961: $i > $i > $i > $i ).

thf(func_def_1322,type,
    sK962: $i > $i > $i ).

thf(func_def_1323,type,
    sK963: $i > $i > $i ).

thf(func_def_1324,type,
    sK964: $i > $i > $i ).

thf(func_def_1325,type,
    sK965: $i > $i ).

thf(func_def_1326,type,
    sK966: $i > $i > $i ).

thf(func_def_1328,type,
    sK968: $i > $i ).

thf(func_def_1329,type,
    sK969: $i > $i ).

thf(func_def_1357,type,
    sP997: $o > $o ).

thf(func_def_1358,type,
    sP998: $o > $o ).

thf(func_def_1359,type,
    sP999: $o > $o ).

thf(func_def_1360,type,
    sP1000: $i > $o ).

thf(func_def_1361,type,
    sP1001: $o > $o ).

thf(func_def_1362,type,
    sP1002: $o > $o ).

thf(func_def_1363,type,
    sP1003: $o > $o ).

thf(func_def_1364,type,
    sP1004: $o > $o ).

thf(func_def_1365,type,
    sP1005: $o > $o ).

thf(func_def_1366,type,
    sP1006: $o > $o ).

thf(func_def_1367,type,
    sP1007: $o > $o ).

thf(func_def_1368,type,
    sP1008: $o > $o ).

thf(func_def_1369,type,
    sP1009: $o > $o ).

thf(func_def_1370,type,
    sP1010: $o > $o ).

thf(func_def_1371,type,
    sP1011: $o > $o ).

thf(func_def_1372,type,
    sP1012: $o > $o ).

thf(func_def_1373,type,
    sP1013: $o > $o ).

thf(func_def_1374,type,
    sP1014: $o > $o ).

thf(func_def_1375,type,
    sP1015: $o > $o ).

thf(func_def_1376,type,
    sP1016: $o > $o ).

thf(func_def_1377,type,
    sP1017: $o > $o ).

thf(func_def_1378,type,
    sP1018: $o > $o ).

thf(func_def_1379,type,
    sP1019: $o > $o ).

thf(func_def_1380,type,
    sP1020: $o > $o ).

thf(func_def_1381,type,
    sP1021: $o > $o ).

thf(func_def_1382,type,
    sP1022: $o > $o ).

thf(func_def_1383,type,
    sP1023: $o > $o ).

thf(func_def_1384,type,
    sP1024: $o > $o ).

thf(func_def_1385,type,
    sP1025: $o > $o ).

thf(func_def_1386,type,
    sP1026: $o > $o ).

thf(func_def_1387,type,
    sP1027: $o > $o ).

thf(func_def_1388,type,
    sP1028: $o > $o ).

thf(func_def_1389,type,
    sP1029: $o > $o ).

thf(func_def_1390,type,
    sP1030: $o > $o ).

thf(func_def_1391,type,
    sP1031: $o > $o ).

thf(func_def_1392,type,
    sP1032: $o > $o ).

thf(func_def_1393,type,
    sP1033: $o > $o ).

thf(func_def_1394,type,
    sP1034: $o > $o ).

thf(func_def_1395,type,
    sP1035: $o > $o ).

thf(func_def_1396,type,
    sP1036: $o > $o ).

thf(func_def_1397,type,
    sP1037: $o > $o ).

thf(func_def_1398,type,
    sP1038: $o > $o ).

thf(func_def_1399,type,
    sP1039: $o > $o ).

thf(func_def_1400,type,
    sP1040: $o > $o ).

thf(func_def_1401,type,
    sP1041: $o > $o ).

thf(func_def_1402,type,
    sP1042: $o > $o ).

thf(func_def_1403,type,
    sP1043: $o > $o ).

thf(func_def_1404,type,
    sP1044: $o > $o ).

thf(func_def_1405,type,
    sP1045: $o > $o ).

thf(func_def_1406,type,
    sP1046: $o > $o ).

thf(func_def_1407,type,
    sP1047: $o > $o ).

thf(func_def_1408,type,
    sP1048: $o > $o ).

thf(func_def_1409,type,
    sP1049: $o > $o ).

thf(func_def_1410,type,
    sP1050: $o > $o ).

thf(func_def_1411,type,
    sP1051: $o > $o ).

thf(func_def_1412,type,
    sP1052: $i > $o ).

thf(func_def_1413,type,
    sP1053: $o > $o ).

thf(func_def_1414,type,
    sP1054: $o > $o ).

thf(func_def_1415,type,
    sP1055: $o > $o ).

thf(func_def_1416,type,
    sP1056: $o > $o ).

thf(func_def_1417,type,
    sP1057: $o > $o ).

thf(func_def_1418,type,
    sP1058: $o > $o ).

thf(func_def_1419,type,
    sP1059: $o > $o ).

thf(func_def_1420,type,
    sP1060: $i > $o ).

thf(func_def_1421,type,
    sP1061: $o > $o ).

thf(func_def_1422,type,
    sP1062: $o > $o ).

thf(func_def_1423,type,
    sP1063: $o > $o ).

thf(func_def_1424,type,
    sP1064: $o > $o ).

thf(func_def_1425,type,
    sP1065: $o > $o ).

thf(func_def_1426,type,
    sP1066: $o > $o ).

thf(func_def_1427,type,
    sP1067: $o > $o ).

thf(func_def_1428,type,
    sP1068: $o > $o ).

thf(func_def_1429,type,
    sP1069: $o > $o ).

thf(func_def_1430,type,
    sP1070: $o > $o ).

thf(func_def_1431,type,
    sP1071: $o > $o ).

thf(func_def_1432,type,
    sP1072: $o > $o ).

thf(func_def_1433,type,
    sP1073: $o > $o ).

thf(func_def_1434,type,
    sP1074: $o > $o ).

thf(func_def_1435,type,
    sP1075: $o > $o ).

thf(func_def_1436,type,
    sP1076: $i > $o ).

thf(func_def_1437,type,
    sP1077: $o > $o ).

thf(func_def_1438,type,
    sP1078: $o > $o ).

thf(func_def_1439,type,
    sP1079: $o > $o ).

thf(func_def_1440,type,
    sP1080: $o > $o ).

thf(func_def_1441,type,
    sP1081: $o > $o ).

thf(func_def_1442,type,
    sP1082: $o > $o ).

thf(func_def_1443,type,
    sP1083: $o > $o ).

thf(func_def_1444,type,
    sP1084: $o > $o ).

thf(func_def_1445,type,
    sP1085: $o > $o ).

thf(func_def_1446,type,
    sP1086: $o > $o ).

thf(func_def_1447,type,
    sP1087: $o > $o ).

thf(func_def_1448,type,
    sP1088: $o > $o ).

thf(func_def_1449,type,
    sP1089: $o > $o ).

thf(func_def_1450,type,
    sP1090: $o > $o ).

thf(func_def_1451,type,
    sP1091: $o > $o ).

thf(func_def_1452,type,
    sP1092: $o > $o ).

thf(func_def_1453,type,
    sP1093: $o > $o ).

thf(func_def_1454,type,
    sP1094: $o > $o ).

thf(func_def_1455,type,
    sP1095: $o > $o ).

thf(func_def_1456,type,
    sP1096: $o > $o ).

thf(func_def_1457,type,
    sP1097: $o > $o ).

thf(func_def_1458,type,
    sP1098: $o > $o ).

thf(func_def_1459,type,
    sP1099: $o > $o ).

thf(func_def_1460,type,
    sP1100: $o > $o ).

thf(func_def_1461,type,
    sP1101: $o > $o ).

thf(func_def_1462,type,
    sP1102: $o > $o ).

thf(func_def_1463,type,
    sP1103: $o > $o ).

thf(func_def_1464,type,
    sP1104: $o > $o ).

thf(func_def_1465,type,
    sP1105: $o > $o ).

thf(func_def_1466,type,
    sP1106: $o > $o ).

thf(func_def_1467,type,
    sP1107: $o > $o ).

thf(func_def_1468,type,
    sP1108: $o > $o ).

thf(func_def_1469,type,
    sP1109: $o > $o ).

thf(func_def_1470,type,
    sP1110: $o > $o ).

thf(func_def_1471,type,
    sP1111: $i > $o ).

thf(func_def_1472,type,
    sP1112: $o > $o ).

thf(func_def_1473,type,
    sP1113: $o > $o ).

thf(func_def_1474,type,
    sP1114: $o > $o ).

thf(func_def_1475,type,
    sP1115: $o > $o ).

thf(func_def_1476,type,
    sP1116: $o > $o ).

thf(func_def_1477,type,
    sP1117: $o > $o ).

thf(func_def_1478,type,
    sP1118: $o > $o ).

thf(func_def_1479,type,
    sP1119: $o > $o ).

thf(func_def_1480,type,
    sP1120: $o > $o ).

thf(func_def_1481,type,
    sP1121: $o > $o ).

thf(func_def_1482,type,
    sP1122: $o > $o ).

thf(func_def_1483,type,
    sP1123: $o > $o ).

thf(func_def_1484,type,
    sP1124: $o > $o ).

thf(func_def_1485,type,
    sP1125: $o > $o ).

thf(func_def_1486,type,
    sP1126: $o > $o ).

thf(func_def_1487,type,
    sP1127: $i > $o ).

thf(func_def_1488,type,
    sP1128: $o > $o ).

thf(func_def_1489,type,
    sP1129: $o > $o ).

thf(func_def_1490,type,
    sP1130: $i > $o ).

thf(func_def_1491,type,
    sP1131: $o > $o ).

thf(func_def_1492,type,
    sP1132: $o > $o ).

thf(func_def_1493,type,
    sP1133: $o > $o ).

thf(func_def_1494,type,
    sP1134: $o > $o ).

thf(func_def_1495,type,
    sP1135: $o > $o ).

thf(func_def_1496,type,
    sP1136: $o > $o ).

thf(func_def_1497,type,
    sP1137: $o > $o ).

thf(func_def_1498,type,
    sP1138: $o > $o ).

thf(func_def_1499,type,
    sP1139: $o > $o ).

thf(func_def_1500,type,
    sP1140: $o > $o ).

thf(func_def_1501,type,
    sP1141: $o > $o ).

thf(func_def_1502,type,
    sP1142: $o > $o ).

thf(func_def_1503,type,
    sP1143: $o > $o ).

thf(func_def_1504,type,
    sP1144: $o > $o ).

thf(func_def_1505,type,
    sP1145: $o > $o ).

thf(func_def_1506,type,
    sP1146: $o > $o ).

thf(func_def_1507,type,
    sP1147: $o > $o ).

thf(func_def_1508,type,
    sP1148: $o > $o ).

thf(func_def_1509,type,
    sP1149: $o > $o ).

thf(func_def_1510,type,
    sP1150: $o > $o ).

thf(func_def_1511,type,
    sP1151: $o > $o ).

thf(func_def_1512,type,
    sP1152: $o > $o ).

thf(func_def_1513,type,
    sP1153: $o > $o ).

thf(func_def_1514,type,
    sP1154: $o > $o ).

thf(func_def_1515,type,
    sP1155: $i > $o ).

thf(func_def_1516,type,
    sP1156: $o > $o ).

thf(func_def_1517,type,
    sP1157: $o > $o ).

thf(func_def_1518,type,
    sP1158: $o > $o ).

thf(func_def_1519,type,
    sP1159: $o > $o ).

thf(func_def_1520,type,
    sP1160: $i > $o ).

thf(func_def_1521,type,
    sP1161: $o > $o ).

thf(func_def_1522,type,
    sP1162: $o > $o ).

thf(func_def_1523,type,
    sP1163: $o > $o ).

thf(func_def_1524,type,
    sP1164: $o > $o ).

thf(func_def_1525,type,
    sP1165: $o > $o ).

thf(func_def_1526,type,
    sP1166: $i > $o ).

thf(func_def_1527,type,
    sP1167: $o > $o ).

thf(func_def_1528,type,
    sP1168: $o > $o ).

thf(func_def_1529,type,
    sP1169: $o > $o ).

thf(func_def_1530,type,
    sP1170: $o > $o ).

thf(func_def_1531,type,
    sP1171: $o > $o ).

thf(func_def_1532,type,
    sP1172: $i > $o ).

thf(func_def_1533,type,
    sP1173: $o > $o ).

thf(func_def_1534,type,
    sP1174: $o > $o ).

thf(func_def_1535,type,
    sP1175: $o > $o ).

thf(func_def_1536,type,
    sP1176: $o > $o ).

thf(func_def_1537,type,
    sP1177: $o > $o ).

thf(func_def_1538,type,
    sP1178: $o > $o ).

thf(func_def_1539,type,
    sP1179: $o > $o ).

thf(func_def_1540,type,
    sP1180: $o > $o ).

thf(func_def_1541,type,
    sP1181: $o > $o ).

thf(func_def_1542,type,
    sP1182: $o > $o ).

thf(func_def_1543,type,
    sP1183: $o > $o ).

thf(func_def_1544,type,
    sP1184: $o > $o ).

thf(func_def_1545,type,
    sP1185: $o > $o ).

thf(func_def_1546,type,
    sP1186: $o > $o ).

thf(func_def_1547,type,
    sP1187: $o > $o ).

thf(func_def_1548,type,
    sP1188: $o > $o ).

thf(func_def_1549,type,
    sP1189: $o > $o ).

thf(func_def_1550,type,
    sP1190: $o > $o ).

thf(func_def_1551,type,
    sP1191: $o > $o ).

thf(func_def_1552,type,
    sP1192: $o > $o ).

thf(func_def_1553,type,
    sP1193: $o > $o ).

thf(func_def_1554,type,
    sP1194: $o > $o ).

thf(func_def_1555,type,
    sP1195: $i > $o ).

thf(func_def_1556,type,
    sP1196: $o > $o ).

thf(func_def_1557,type,
    sP1197: $o > $o ).

thf(func_def_1558,type,
    sP1198: $o > $o ).

thf(func_def_1559,type,
    sP1199: $o > $o ).

thf(func_def_1560,type,
    sP1200: $o > $o ).

thf(func_def_1561,type,
    sP1201: $o > $o ).

thf(func_def_1562,type,
    sP1202: $o > $o ).

thf(func_def_1563,type,
    sP1203: $o > $o ).

thf(func_def_1564,type,
    sP1204: $o > $o ).

thf(func_def_1565,type,
    sP1205: $o > $o ).

thf(func_def_1566,type,
    sP1206: $o > $o ).

thf(func_def_1567,type,
    sP1207: $o > $o ).

thf(func_def_1568,type,
    sP1208: $o > $o ).

thf(func_def_1569,type,
    sP1209: $o > $o ).

thf(func_def_1570,type,
    sP1210: $o > $o ).

thf(func_def_1571,type,
    sP1211: $o > $o ).

thf(func_def_1572,type,
    sP1212: $o > $o ).

thf(func_def_1573,type,
    sP1213: $o > $o ).

thf(func_def_1574,type,
    sP1214: $o > $o ).

thf(func_def_1575,type,
    sP1215: $o > $o ).

thf(func_def_1576,type,
    sP1216: $o > $o ).

thf(func_def_1577,type,
    sP1217: $i > $o ).

thf(func_def_1578,type,
    sP1218: $o > $o ).

thf(func_def_1579,type,
    sP1219: $o > $o ).

thf(func_def_1580,type,
    sP1220: $o > $o ).

thf(func_def_1581,type,
    sP1221: $i > $o ).

thf(func_def_1582,type,
    sP1222: $i > $o ).

thf(func_def_1583,type,
    sP1223: $o > $o ).

thf(func_def_1584,type,
    sP1224: $o > $o ).

thf(func_def_1585,type,
    sP1225: $o > $o ).

thf(func_def_1586,type,
    sP1226: $o > $o ).

thf(func_def_1587,type,
    sP1227: $o > $o ).

thf(func_def_1588,type,
    sP1228: $o > $o ).

thf(func_def_1589,type,
    sP1229: $o > $o ).

thf(func_def_1590,type,
    sP1230: $i > $o ).

thf(func_def_1591,type,
    sP1231: $o > $o ).

thf(func_def_1592,type,
    sP1232: $o > $o ).

thf(func_def_1593,type,
    sP1233: $o > $o ).

thf(func_def_1594,type,
    sP1234: $o > $o ).

thf(func_def_1595,type,
    sP1235: $o > $o ).

thf(func_def_1596,type,
    sP1236: $o > $o ).

thf(func_def_1597,type,
    sP1237: $o > $o ).

thf(func_def_1598,type,
    sP1238: $o > $o ).

thf(func_def_1599,type,
    sP1239: $o > $o ).

thf(func_def_1600,type,
    sP1240: $o > $o ).

thf(func_def_1601,type,
    sP1241: $o > $o ).

thf(func_def_1602,type,
    sP1242: $o > $o ).

thf(func_def_1603,type,
    sP1243: $o > $o ).

thf(func_def_1604,type,
    sP1244: $o > $o ).

thf(func_def_1605,type,
    sP1245: $o > $o ).

thf(func_def_1606,type,
    sP1246: $o > $o ).

thf(func_def_1607,type,
    sP1247: $o > $o ).

thf(func_def_1608,type,
    sP1248: $o > $o ).

thf(func_def_1609,type,
    sP1249: $o > $o ).

thf(func_def_1610,type,
    sP1250: $o > $o ).

thf(func_def_1611,type,
    sP1251: $o > $o ).

thf(func_def_1612,type,
    sP1252: $o > $o ).

thf(func_def_1613,type,
    sP1253: $o > $o ).

thf(func_def_1614,type,
    sP1254: $o > $o ).

thf(func_def_1615,type,
    sP1255: $o > $o ).

thf(func_def_1616,type,
    sP1256: $o > $o ).

thf(func_def_1617,type,
    sP1257: $o > $o ).

thf(func_def_1618,type,
    sP1258: $o > $o ).

thf(func_def_1619,type,
    sP1259: $o > $o ).

thf(func_def_1620,type,
    sP1260: $o > $o ).

thf(func_def_1621,type,
    sP1261: $o > $o ).

thf(func_def_1622,type,
    sP1262: $o > $o ).

thf(func_def_1623,type,
    sP1263: $o > $o ).

thf(func_def_1624,type,
    sP1264: $o > $o ).

thf(func_def_1625,type,
    sP1265: $o > $o ).

thf(func_def_1626,type,
    sP1266: $i > $o ).

thf(func_def_1627,type,
    sP1267: $o > $o ).

thf(func_def_1628,type,
    sP1268: $o > $o ).

thf(func_def_1629,type,
    sP1269: $o > $o ).

thf(func_def_1630,type,
    sP1270: $o > $o ).

thf(func_def_1631,type,
    sP1271: $o > $o ).

thf(func_def_1632,type,
    sP1272: $o > $o ).

thf(func_def_1633,type,
    sP1273: $o > $o ).

thf(func_def_1634,type,
    sP1274: $o > $o ).

thf(func_def_1635,type,
    sP1275: $o > $o ).

thf(func_def_1636,type,
    sP1276: $o > $o ).

thf(func_def_1637,type,
    sP1277: $o > $o ).

thf(func_def_1638,type,
    sP1278: $o > $o ).

thf(func_def_1639,type,
    sP1279: $o > $o ).

thf(func_def_1640,type,
    sP1280: $o > $o ).

thf(func_def_1641,type,
    sP1281: $o > $o ).

thf(func_def_1642,type,
    sP1282: $o > $o ).

thf(func_def_1643,type,
    sP1283: $o > $o ).

thf(func_def_1644,type,
    sP1284: $o > $o ).

thf(func_def_1645,type,
    sP1285: $o > $o ).

thf(func_def_1646,type,
    sP1286: $o > $o ).

thf(func_def_1647,type,
    sP1287: $o > $o ).

thf(func_def_1648,type,
    sP1288: $o > $o ).

thf(func_def_1649,type,
    sP1289: $o > $o ).

thf(func_def_1650,type,
    sP1290: $o > $o ).

thf(func_def_1651,type,
    sP1291: $o > $o ).

thf(func_def_1652,type,
    sP1292: $o > $o ).

thf(func_def_1653,type,
    sP1293: $o > $o ).

thf(func_def_1654,type,
    sP1294: $o > $o ).

thf(func_def_1655,type,
    sP1295: $o > $o ).

thf(func_def_1656,type,
    sP1296: $o > $o ).

thf(func_def_1657,type,
    sP1297: $o > $o ).

thf(func_def_1658,type,
    sP1298: $o > $o ).

thf(func_def_1659,type,
    sP1299: $o > $o ).

thf(func_def_1660,type,
    sP1300: $o > $o ).

thf(func_def_1661,type,
    sP1301: $o > $o ).

thf(func_def_1662,type,
    sP1302: $o > $o ).

thf(func_def_1663,type,
    sP1303: $o > $o ).

thf(func_def_1664,type,
    sP1304: $o > $o ).

thf(func_def_1665,type,
    sP1305: $o > $o ).

thf(func_def_1666,type,
    sP1306: $o > $o ).

thf(func_def_1667,type,
    sP1307: $o > $o ).

thf(func_def_1668,type,
    sP1308: $o > $o ).

thf(func_def_1669,type,
    sP1309: $o > $o ).

thf(func_def_1670,type,
    sP1310: $o > $o ).

thf(func_def_1671,type,
    sP1311: $o > $o ).

thf(func_def_1672,type,
    sP1312: $o > $o ).

thf(func_def_1673,type,
    sP1313: $o > $o ).

thf(func_def_1674,type,
    sP1314: $o > $o ).

thf(func_def_1675,type,
    sP1315: $o > $o ).

thf(func_def_1676,type,
    sP1316: $o > $o ).

thf(func_def_1677,type,
    sP1317: $o > $o ).

thf(func_def_1678,type,
    sP1318: $o > $o ).

thf(func_def_1679,type,
    sP1319: $o > $o ).

thf(func_def_1680,type,
    sP1320: $o > $o ).

thf(func_def_1681,type,
    sP1321: $o > $o ).

thf(func_def_1682,type,
    sP1322: $o > $o ).

thf(func_def_1683,type,
    sP1323: $o > $o ).

thf(func_def_1684,type,
    sP1324: $o > $o ).

thf(func_def_1685,type,
    sP1325: $o > $o ).

thf(func_def_1686,type,
    sP1326: $o > $o ).

thf(func_def_1687,type,
    sP1327: $o > $o ).

thf(func_def_1688,type,
    sP1328: $i > $o ).

thf(func_def_1689,type,
    sP1329: $o > $o ).

thf(func_def_1690,type,
    sP1330: $o > $o ).

thf(func_def_1691,type,
    sP1331: $o > $o ).

thf(func_def_1692,type,
    sP1332: $o > $o ).

thf(func_def_1693,type,
    sP1333: $o > $o ).

thf(func_def_1694,type,
    sP1334: $o > $o ).

thf(func_def_1695,type,
    sP1335: $o > $o ).

thf(func_def_1696,type,
    sP1336: $i > $o ).

thf(func_def_1697,type,
    sP1337: $i > $o ).

thf(func_def_1698,type,
    sP1338: $o > $o ).

thf(func_def_1699,type,
    sP1339: $o > $o ).

thf(func_def_1700,type,
    sP1340: $o > $o ).

thf(func_def_1701,type,
    sP1341: $o > $o ).

thf(func_def_1702,type,
    sP1342: $o > $o ).

thf(func_def_1703,type,
    sP1343: $o > $o ).

thf(func_def_1704,type,
    sP1344: $o > $o ).

thf(func_def_1705,type,
    sP1345: $o > $o ).

thf(func_def_1706,type,
    sP1346: $o > $o ).

thf(func_def_1707,type,
    sP1347: $o > $o ).

thf(func_def_1708,type,
    sP1348: $o > $o ).

thf(func_def_1709,type,
    sP1349: $o > $o ).

thf(func_def_1710,type,
    sP1350: $o > $o ).

thf(func_def_1711,type,
    sP1351: $o > $o ).

thf(func_def_1712,type,
    sP1352: $o > $o ).

thf(func_def_1713,type,
    sP1353: $o > $o ).

thf(func_def_1714,type,
    sP1354: $o > $o ).

thf(func_def_1715,type,
    sP1355: $o > $o ).

thf(func_def_1716,type,
    sP1356: $o > $o ).

thf(func_def_1717,type,
    sP1357: $o > $o ).

thf(func_def_1718,type,
    sP1358: $o > $o ).

thf(func_def_1719,type,
    sP1359: $o > $o ).

thf(func_def_1720,type,
    sP1360: $o > $o ).

thf(func_def_1721,type,
    sP1361: $o > $o ).

thf(func_def_1722,type,
    sP1362: $o > $o ).

thf(func_def_1723,type,
    sP1363: $o > $o ).

thf(func_def_1724,type,
    sP1364: $o > $o ).

thf(func_def_1725,type,
    sP1365: $o > $o ).

thf(func_def_1726,type,
    sP1366: $o > $o ).

thf(func_def_1727,type,
    sP1367: $o > $o ).

thf(func_def_1728,type,
    sP1368: $o > $o ).

thf(func_def_1729,type,
    sP1369: $o > $o ).

thf(func_def_1730,type,
    sP1370: $o > $o ).

thf(func_def_1731,type,
    sP1371: $o > $o ).

thf(func_def_1732,type,
    sP1372: $o > $o ).

thf(func_def_1733,type,
    sP1373: $o > $o ).

thf(func_def_1734,type,
    sP1374: $o > $o ).

thf(func_def_1735,type,
    sP1375: $o > $o ).

thf(func_def_1736,type,
    sP1376: $o > $o ).

thf(func_def_1737,type,
    sP1377: $o > $o ).

thf(func_def_1738,type,
    sP1378: $o > $o ).

thf(func_def_1739,type,
    sP1379: $o > $o ).

thf(func_def_1740,type,
    sP1380: $o > $o ).

thf(func_def_1741,type,
    sP1381: $o > $o ).

thf(func_def_1742,type,
    sP1382: $o > $o ).

thf(func_def_1743,type,
    sP1383: $o > $o ).

thf(func_def_1744,type,
    sP1384: $o > $o ).

thf(func_def_1745,type,
    sP1385: $o > $o ).

thf(func_def_1746,type,
    sP1386: $o > $o ).

thf(func_def_1747,type,
    sP1387: $o > $o ).

thf(func_def_1748,type,
    sP1388: $o > $o ).

thf(func_def_1749,type,
    sP1389: $o > $o ).

thf(func_def_1750,type,
    sP1390: $o > $o ).

thf(func_def_1751,type,
    sP1391: $o > $o ).

thf(func_def_1752,type,
    sP1392: $o > $o ).

thf(func_def_1753,type,
    sP1393: $o > $o ).

thf(func_def_1754,type,
    sP1394: $o > $o ).

thf(func_def_1755,type,
    sP1395: $o > $o ).

thf(func_def_1756,type,
    sP1396: $o > $o ).

thf(func_def_1757,type,
    sP1397: $o > $o ).

thf(func_def_1758,type,
    sP1398: $o > $o ).

thf(func_def_1759,type,
    sP1399: $o > $o ).

thf(func_def_1760,type,
    sP1400: $o > $o ).

thf(func_def_1761,type,
    sP1401: $o > $o ).

thf(func_def_1762,type,
    sP1402: $o > $o ).

thf(func_def_1763,type,
    sP1403: $o > $o ).

thf(func_def_1764,type,
    sP1404: $o > $o ).

thf(func_def_1765,type,
    sP1405: $o > $o ).

thf(func_def_1766,type,
    sP1406: $o > $o ).

thf(func_def_1767,type,
    sP1407: $o > $o ).

thf(func_def_1768,type,
    sP1408: $o > $o ).

thf(func_def_1769,type,
    sP1409: $o > $o ).

thf(func_def_1770,type,
    sP1410: $o > $o ).

thf(func_def_1771,type,
    sP1411: $o > $o ).

thf(func_def_1772,type,
    sP1412: $o > $o ).

thf(func_def_1773,type,
    sP1413: $o > $o ).

thf(func_def_1774,type,
    sP1414: $o > $o ).

thf(func_def_1775,type,
    sP1415: $o > $o ).

thf(func_def_1776,type,
    sP1416: $o > $o ).

thf(func_def_1777,type,
    sP1417: $o > $o ).

thf(func_def_1778,type,
    sP1418: $o > $o ).

thf(func_def_1779,type,
    sP1419: $o > $o ).

thf(func_def_1780,type,
    sP1420: $o > $o ).

thf(func_def_1781,type,
    sP1421: $o > $o ).

thf(func_def_1782,type,
    sP1422: $o > $o ).

thf(func_def_1783,type,
    sP1423: $o > $o ).

thf(func_def_1784,type,
    sP1424: $o > $o ).

thf(func_def_1785,type,
    sP1425: $o > $o ).

thf(func_def_1786,type,
    sP1426: $o > $o ).

thf(func_def_1787,type,
    sP1427: $o > $o ).

thf(func_def_1788,type,
    sP1428: $o > $o ).

thf(func_def_1789,type,
    sP1429: $o > $o ).

thf(func_def_1790,type,
    sP1430: $o > $o ).

thf(func_def_1791,type,
    sP1431: $o > $o ).

thf(func_def_1792,type,
    sP1432: $o > $o ).

thf(func_def_1793,type,
    sP1433: $o > $o ).

thf(func_def_1794,type,
    sP1434: $o > $o ).

thf(func_def_1795,type,
    sP1435: $o > $o ).

thf(func_def_1796,type,
    sP1436: $o > $o ).

thf(func_def_1797,type,
    sP1437: $o > $o ).

thf(func_def_1798,type,
    sP1438: $o > $o ).

thf(func_def_1799,type,
    sP1439: $o > $o ).

thf(func_def_1800,type,
    sP1440: $o > $o ).

thf(func_def_1801,type,
    sP1441: $o > $o ).

thf(func_def_1802,type,
    sP1442: $o > $o ).

thf(func_def_1803,type,
    sP1443: $o > $o ).

thf(func_def_1804,type,
    sP1444: $o > $o ).

thf(func_def_1805,type,
    sP1445: $o > $o ).

thf(func_def_1806,type,
    sP1446: $o > $o ).

thf(func_def_1807,type,
    sP1447: $o > $o ).

thf(func_def_1808,type,
    sP1448: $o > $o ).

thf(func_def_1809,type,
    sP1449: $o > $o ).

thf(func_def_1810,type,
    sP1450: $o > $o ).

thf(func_def_1811,type,
    sP1451: $o > $o ).

thf(func_def_1812,type,
    sP1452: $o > $o ).

thf(func_def_1813,type,
    sP1453: $o > $o ).

thf(func_def_1814,type,
    sP1454: $o > $o ).

thf(func_def_1815,type,
    sP1455: $o > $o ).

thf(func_def_1816,type,
    sP1456: $o > $o ).

thf(func_def_1817,type,
    sP1457: $o > $o ).

thf(func_def_1818,type,
    sP1458: $o > $o ).

thf(func_def_1819,type,
    sP1459: $i > $o ).

thf(func_def_1820,type,
    sP1460: $o > $o ).

thf(func_def_1821,type,
    sP1461: $o > $o ).

thf(func_def_1822,type,
    sP1462: $o > $o ).

thf(func_def_1823,type,
    sP1463: $o > $o ).

thf(func_def_1824,type,
    sP1464: $o > $o ).

thf(func_def_1825,type,
    sP1465: $o > $o ).

thf(func_def_1826,type,
    sP1466: $o > $o ).

thf(func_def_1827,type,
    sP1467: $o > $o ).

thf(func_def_1828,type,
    sP1468: $o > $o ).

thf(func_def_1829,type,
    sP1469: $o > $o ).

thf(func_def_1830,type,
    sP1470: $o > $o ).

thf(func_def_1831,type,
    sP1471: $o > $o ).

thf(func_def_1832,type,
    sP1472: $o > $o ).

thf(func_def_1833,type,
    sP1473: $o > $o ).

thf(func_def_1834,type,
    sP1474: $o > $o ).

thf(func_def_1835,type,
    sP1475: $o > $o ).

thf(func_def_1836,type,
    sP1476: $o > $o ).

thf(func_def_1837,type,
    sP1477: $o > $o ).

thf(func_def_1838,type,
    sP1478: $o > $o ).

thf(func_def_1839,type,
    sP1479: $o > $o ).

thf(func_def_1840,type,
    sP1480: $o > $o ).

thf(func_def_1841,type,
    sP1481: $o > $o ).

thf(func_def_1842,type,
    sP1482: $o > $o ).

thf(func_def_1843,type,
    sP1483: $o > $o ).

thf(func_def_1844,type,
    sP1484: $o > $o ).

thf(func_def_1845,type,
    sP1485: $o > $o ).

thf(func_def_1846,type,
    sP1486: $o > $o ).

thf(func_def_1847,type,
    sP1487: $i > $o ).

thf(func_def_1848,type,
    sP1488: $o > $o ).

thf(func_def_1849,type,
    sP1489: $o > $o ).

thf(func_def_1850,type,
    sP1490: $o > $o ).

thf(func_def_1851,type,
    sP1491: $o > $o ).

thf(func_def_1852,type,
    sP1492: $o > $o ).

thf(func_def_1853,type,
    sP1493: $o > $o ).

thf(func_def_1854,type,
    sP1494: $o > $o ).

thf(func_def_1855,type,
    sP1495: $o > $o ).

thf(func_def_1856,type,
    sP1496: $o > $o ).

thf(func_def_1857,type,
    sP1497: $o > $o ).

thf(func_def_1858,type,
    sP1498: $o > $o ).

thf(func_def_1859,type,
    sP1499: $o > $o ).

thf(func_def_1860,type,
    sP1500: $o > $o ).

thf(func_def_1861,type,
    sP1501: $o > $o ).

thf(func_def_1862,type,
    sP1502: $o > $o ).

thf(func_def_1863,type,
    sP1503: $o > $o ).

thf(func_def_1864,type,
    sP1504: $i > $o ).

thf(func_def_1865,type,
    sP1505: $o > $o ).

thf(func_def_1866,type,
    sP1506: $o > $o ).

thf(func_def_1867,type,
    sP1507: $i > $o ).

thf(func_def_1868,type,
    sP1508: $o > $o ).

thf(func_def_1869,type,
    sP1509: $o > $o ).

thf(func_def_1870,type,
    sP1510: $o > $o ).

thf(func_def_1871,type,
    sP1511: $o > $o ).

thf(func_def_1872,type,
    sP1512: $o > $o ).

thf(func_def_1873,type,
    sP1513: $o > $o ).

thf(func_def_1874,type,
    sP1514: $o > $o ).

thf(func_def_1875,type,
    sP1515: $o > $o ).

thf(func_def_1876,type,
    sP1516: $o > $o ).

thf(func_def_1877,type,
    sP1517: $o > $o ).

thf(func_def_1878,type,
    sP1518: $o > $o ).

thf(func_def_1879,type,
    sP1519: $o > $o ).

thf(func_def_1880,type,
    sP1520: $o > $o ).

thf(func_def_1881,type,
    sP1521: $o > $o ).

thf(func_def_1882,type,
    sP1522: $i > $o ).

thf(func_def_1883,type,
    sP1523: $i > $o ).

thf(func_def_1884,type,
    sP1524: $o > $o ).

thf(func_def_1885,type,
    sP1525: $o > $o ).

thf(func_def_1886,type,
    sP1526: $o > $o ).

thf(func_def_1887,type,
    sP1527: $o > $o ).

thf(func_def_1888,type,
    sP1528: $o > $o ).

thf(func_def_1889,type,
    sP1529: $o > $o ).

thf(func_def_1890,type,
    sP1530: $o > $o ).

thf(func_def_1891,type,
    sP1531: $i > $o ).

thf(func_def_1892,type,
    sP1532: $o > $o ).

thf(func_def_1893,type,
    sP1533: $o > $o ).

thf(func_def_1894,type,
    sP1534: $o > $o ).

thf(func_def_1895,type,
    sP1535: $o > $o ).

thf(func_def_1896,type,
    sP1536: $o > $o ).

thf(func_def_1897,type,
    sP1537: $o > $o ).

thf(func_def_1898,type,
    sP1538: $o > $o ).

thf(func_def_1899,type,
    sP1539: $o > $o ).

thf(func_def_1900,type,
    sP1540: $o > $o ).

thf(func_def_1901,type,
    sP1541: $o > $o ).

thf(func_def_1902,type,
    sP1542: $o > $o ).

thf(func_def_1903,type,
    sP1543: $o > $o ).

thf(func_def_1904,type,
    sP1544: $o > $o ).

thf(func_def_1905,type,
    sP1545: $o > $o ).

thf(func_def_1906,type,
    sP1546: $o > $o ).

thf(func_def_1907,type,
    sP1547: $o > $o ).

thf(func_def_1908,type,
    sP1548: $o > $o ).

thf(func_def_1909,type,
    sP1549: $o > $o ).

thf(func_def_1910,type,
    sP1550: $o > $o ).

thf(func_def_1911,type,
    sP1551: $o > $o ).

thf(func_def_1912,type,
    sP1552: $o > $o ).

thf(func_def_1913,type,
    sP1553: $o > $o ).

thf(func_def_1914,type,
    sP1554: $o > $o ).

thf(func_def_1915,type,
    sP1555: $o > $o ).

thf(func_def_1916,type,
    sP1556: $o > $o ).

thf(func_def_1917,type,
    sP1557: $o > $o ).

thf(func_def_1918,type,
    sP1558: $o > $o ).

thf(func_def_1919,type,
    sP1559: $o > $o ).

thf(func_def_1920,type,
    sP1560: $o > $o ).

thf(func_def_1921,type,
    sP1561: $o > $o ).

thf(func_def_1922,type,
    sP1562: $o > $o ).

thf(func_def_1923,type,
    sP1563: $o > $o ).

thf(func_def_1924,type,
    sP1564: $o > $o ).

thf(func_def_1925,type,
    sP1565: $o > $o ).

thf(func_def_1926,type,
    sP1566: $o > $o ).

thf(func_def_1927,type,
    sP1567: $o > $o ).

thf(func_def_1928,type,
    sP1568: $o > $o ).

thf(func_def_1929,type,
    sP1569: $o > $o ).

thf(func_def_1930,type,
    sP1570: $o > $o ).

thf(func_def_1931,type,
    sP1571: $o > $o ).

thf(func_def_1932,type,
    sP1572: $o > $o ).

thf(func_def_1933,type,
    sP1573: $o > $o ).

thf(func_def_1934,type,
    sP1574: $o > $o ).

thf(func_def_1935,type,
    sP1575: $o > $o ).

thf(func_def_1936,type,
    sP1576: $o > $o ).

thf(func_def_1937,type,
    sP1577: $o > $o ).

thf(func_def_1938,type,
    sP1578: $o > $o ).

thf(func_def_1939,type,
    sP1579: $o > $o ).

thf(func_def_1940,type,
    sP1580: $o > $o ).

thf(func_def_1941,type,
    sP1581: $o > $o ).

thf(func_def_1942,type,
    sP1582: $o > $o ).

thf(func_def_1943,type,
    sP1583: $o > $o ).

thf(func_def_1944,type,
    sP1584: $i > $o ).

thf(func_def_1945,type,
    sP1585: $o > $o ).

thf(func_def_1946,type,
    sP1586: $o > $o ).

thf(func_def_1947,type,
    sP1587: $o > $o ).

thf(func_def_1948,type,
    sP1588: $o > $o ).

thf(func_def_1949,type,
    sP1589: $o > $o ).

thf(func_def_1950,type,
    sP1590: $o > $o ).

thf(func_def_1951,type,
    sP1591: $o > $o ).

thf(func_def_1952,type,
    sP1592: $o > $o ).

thf(func_def_1953,type,
    sP1593: $o > $o ).

thf(func_def_1954,type,
    sP1594: $o > $o ).

thf(func_def_1955,type,
    sP1595: $o > $o ).

thf(func_def_1956,type,
    sP1596: $o > $o ).

thf(func_def_1957,type,
    sP1597: $o > $o ).

thf(func_def_1958,type,
    sP1598: $o > $o ).

thf(func_def_1959,type,
    sP1599: $o > $o ).

thf(func_def_1960,type,
    sP1600: $o > $o ).

thf(func_def_1961,type,
    sP1601: $o > $o ).

thf(func_def_1962,type,
    sP1602: $o > $o ).

thf(func_def_1963,type,
    sP1603: $o > $o ).

thf(func_def_1964,type,
    sP1604: $i > $o ).

thf(func_def_1965,type,
    sP1605: $o > $o ).

thf(func_def_1966,type,
    sP1606: $o > $o ).

thf(func_def_1967,type,
    sP1607: $o > $o ).

thf(func_def_1968,type,
    sP1608: $o > $o ).

thf(func_def_1969,type,
    sP1609: $o > $o ).

thf(func_def_1970,type,
    sP1610: $o > $o ).

thf(func_def_1971,type,
    sP1611: $o > $o ).

thf(func_def_1972,type,
    sP1612: $o > $o ).

thf(func_def_1973,type,
    sP1613: $o > $o ).

thf(func_def_1974,type,
    sP1614: $o > $o ).

thf(func_def_1975,type,
    sP1615: $o > $o ).

thf(func_def_1976,type,
    sP1616: $o > $o ).

thf(func_def_1977,type,
    sP1617: $o > $o ).

thf(func_def_1978,type,
    sP1618: $o > $o ).

thf(func_def_1979,type,
    sP1619: $o > $o ).

thf(func_def_1980,type,
    sP1620: $o > $o ).

thf(func_def_1981,type,
    sP1621: $o > $o ).

thf(func_def_1982,type,
    sP1622: $o > $o ).

thf(func_def_1983,type,
    sP1623: $o > $o ).

thf(func_def_1984,type,
    sP1624: $o > $o ).

thf(func_def_1985,type,
    sP1625: $o > $o ).

thf(func_def_1986,type,
    sP1626: $o > $o ).

thf(func_def_1987,type,
    sP1627: $o > $o ).

thf(func_def_1988,type,
    sP1628: $o > $o ).

thf(func_def_1989,type,
    sP1629: $o > $o ).

thf(func_def_1990,type,
    sP1630: $o > $o ).

thf(func_def_1991,type,
    sP1631: $o > $o ).

thf(func_def_1992,type,
    sP1632: $o > $o ).

thf(func_def_1993,type,
    sP1633: $o > $o ).

thf(func_def_1994,type,
    sP1634: $o > $o ).

thf(func_def_1995,type,
    sP1635: $o > $o ).

thf(func_def_1996,type,
    sP1636: $o > $o ).

thf(func_def_1997,type,
    sP1637: $o > $o ).

thf(func_def_1998,type,
    sP1638: $o > $o ).

thf(func_def_1999,type,
    sP1639: $o > $o ).

thf(func_def_2000,type,
    sP1640: $o > $o ).

thf(func_def_2001,type,
    sP1641: $o > $o ).

thf(func_def_2002,type,
    sP1642: $o > $o ).

thf(func_def_2003,type,
    sP1643: $o > $o ).

thf(func_def_2004,type,
    sP1644: $o > $o ).

thf(func_def_2005,type,
    sP1645: $o > $o ).

thf(func_def_2006,type,
    sP1646: $i > $o ).

thf(func_def_2007,type,
    sP1647: $o > $o ).

thf(func_def_2008,type,
    sP1648: $o > $o ).

thf(func_def_2009,type,
    sP1649: $o > $o ).

thf(func_def_2010,type,
    sP1650: $o > $o ).

thf(func_def_2011,type,
    sP1651: $o > $o ).

thf(func_def_2012,type,
    sP1652: $o > $o ).

thf(func_def_2013,type,
    sP1653: $o > $o ).

thf(func_def_2014,type,
    sP1654: $o > $o ).

thf(func_def_2015,type,
    sP1655: $o > $o ).

thf(func_def_2016,type,
    sP1656: $o > $o ).

thf(func_def_2017,type,
    sP1657: $o > $o ).

thf(func_def_2018,type,
    sP1658: $o > $o ).

thf(func_def_2019,type,
    sP1659: $o > $o ).

thf(func_def_2020,type,
    sP1660: $o > $o ).

thf(func_def_2021,type,
    sP1661: $o > $o ).

thf(func_def_2022,type,
    sP1662: $o > $o ).

thf(func_def_2023,type,
    sP1663: $o > $o ).

thf(func_def_2024,type,
    sP1664: $o > $o ).

thf(func_def_2025,type,
    sP1665: $o > $o ).

thf(func_def_2026,type,
    sP1666: $o > $o ).

thf(func_def_2027,type,
    sP1667: $o > $o ).

thf(func_def_2028,type,
    sP1668: $o > $o ).

thf(func_def_2029,type,
    sP1669: $o > $o ).

thf(func_def_2030,type,
    sP1670: $o > $o ).

thf(func_def_2031,type,
    sP1671: $o > $o ).

thf(func_def_2032,type,
    sP1672: $o > $o ).

thf(func_def_2033,type,
    sP1673: $o > $o ).

thf(func_def_2034,type,
    sP1674: $o > $o ).

thf(func_def_2035,type,
    sP1675: $o > $o ).

thf(func_def_2036,type,
    sP1676: $o > $o ).

thf(func_def_2037,type,
    sP1677: $o > $o ).

thf(func_def_2038,type,
    sP1678: $o > $o ).

thf(func_def_2039,type,
    sP1679: $o > $o ).

thf(func_def_2040,type,
    sP1680: $o > $o ).

thf(func_def_2041,type,
    sP1681: $o > $o ).

thf(func_def_2042,type,
    sP1682: $o > $o ).

thf(func_def_2043,type,
    sP1683: $o > $o ).

thf(func_def_2044,type,
    sP1684: $o > $o ).

thf(func_def_2045,type,
    sP1685: $o > $o ).

thf(func_def_2046,type,
    sP1686: $o > $o ).

thf(func_def_2047,type,
    sP1687: $o > $o ).

thf(func_def_2048,type,
    sP1688: $o > $o ).

thf(func_def_2049,type,
    sP1689: $o > $o ).

thf(func_def_2050,type,
    sP1690: $o > $o ).

thf(func_def_2051,type,
    sP1691: $o > $o ).

thf(func_def_2052,type,
    sP1692: $o > $o ).

thf(func_def_2053,type,
    sP1693: $o > $o ).

thf(func_def_2054,type,
    sP1694: $o > $o ).

thf(func_def_2055,type,
    sP1695: $o > $o ).

thf(func_def_2056,type,
    sP1696: $i > $o ).

thf(func_def_2057,type,
    sP1697: $o > $o ).

thf(func_def_2058,type,
    sP1698: $o > $o ).

thf(func_def_2059,type,
    sP1699: $o > $o ).

thf(func_def_2060,type,
    sP1700: $o > $o ).

thf(func_def_2061,type,
    sP1701: $o > $o ).

thf(func_def_2062,type,
    sP1702: $o > $o ).

thf(func_def_2063,type,
    sP1703: $o > $o ).

thf(func_def_2064,type,
    sP1704: $o > $o ).

thf(func_def_2065,type,
    sP1705: $o > $o ).

thf(func_def_2066,type,
    sP1706: $o > $o ).

thf(func_def_2067,type,
    sP1707: $o > $o ).

thf(func_def_2068,type,
    sP1708: $o > $o ).

thf(func_def_2069,type,
    sP1709: $o > $o ).

thf(func_def_2070,type,
    sP1710: $o > $o ).

thf(func_def_2071,type,
    sP1711: $o > $o ).

thf(func_def_2072,type,
    sP1712: $o > $o ).

thf(func_def_2073,type,
    sP1713: $o > $o ).

thf(func_def_2074,type,
    sP1714: $o > $o ).

thf(func_def_2075,type,
    sP1715: $o > $o ).

thf(func_def_2076,type,
    sP1716: $o > $o ).

thf(func_def_2077,type,
    sP1717: $o > $o ).

thf(func_def_2078,type,
    sP1718: $o > $o ).

thf(func_def_2079,type,
    sP1719: $o > $o ).

thf(func_def_2080,type,
    sP1720: $o > $o ).

thf(func_def_2081,type,
    sP1721: $o > $o ).

thf(func_def_2082,type,
    sP1722: $o > $o ).

thf(func_def_2083,type,
    sP1723: $o > $o ).

thf(func_def_2084,type,
    sP1724: $o > $o ).

thf(func_def_2085,type,
    sP1725: $o > $o ).

thf(func_def_2086,type,
    sP1726: $i > $o ).

thf(func_def_2087,type,
    sP1727: $o > $o ).

thf(func_def_2088,type,
    sP1728: $o > $o ).

thf(func_def_2089,type,
    sP1729: $o > $o ).

thf(func_def_2090,type,
    sP1730: $o > $o ).

thf(func_def_2091,type,
    sP1731: $o > $o ).

thf(func_def_2092,type,
    sP1732: $o > $o ).

thf(func_def_2093,type,
    sP1733: $o > $o ).

thf(func_def_2094,type,
    sP1734: $o > $o ).

thf(func_def_2095,type,
    sP1735: $o > $o ).

thf(func_def_2096,type,
    sP1736: $o > $o ).

thf(func_def_2097,type,
    sP1737: $o > $o ).

thf(func_def_2098,type,
    sP1738: $o > $o ).

thf(func_def_2099,type,
    sP1739: $o > $o ).

thf(func_def_2100,type,
    sP1740: $o > $o ).

thf(func_def_2101,type,
    sP1741: $o > $o ).

thf(func_def_2102,type,
    sP1742: $o > $o ).

thf(func_def_2103,type,
    sP1743: $o > $o ).

thf(func_def_2104,type,
    sP1744: $o > $o ).

thf(func_def_2105,type,
    sP1745: $o > $o ).

thf(func_def_2106,type,
    sP1746: $o > $o ).

thf(func_def_2107,type,
    sP1747: $o > $o ).

thf(func_def_2108,type,
    sP1748: $o > $o ).

thf(func_def_2109,type,
    sP1749: $o > $o ).

thf(func_def_2110,type,
    sP1750: $o > $o ).

thf(func_def_2111,type,
    sP1751: $o > $o ).

thf(func_def_2112,type,
    sP1752: $o > $o ).

thf(func_def_2113,type,
    sP1753: $o > $o ).

thf(func_def_2114,type,
    sP1754: $o > $o ).

thf(func_def_2115,type,
    sP1755: $o > $o ).

thf(func_def_2116,type,
    sP1756: $o > $o ).

thf(func_def_2117,type,
    sP1757: $o > $o ).

thf(func_def_2118,type,
    sP1758: $o > $o ).

thf(func_def_2119,type,
    sP1759: $o > $o ).

thf(func_def_2120,type,
    sP1760: $o > $o ).

thf(func_def_2121,type,
    sP1761: $o > $o ).

thf(func_def_2122,type,
    sP1762: $o > $o ).

thf(func_def_2123,type,
    sP1763: $o > $o ).

thf(func_def_2124,type,
    sP1764: $o > $o ).

thf(func_def_2125,type,
    sP1765: $o > $o ).

thf(func_def_2126,type,
    sP1766: $o > $o ).

thf(func_def_2127,type,
    sP1767: $o > $o ).

thf(func_def_2128,type,
    sP1768: $o > $o ).

thf(func_def_2129,type,
    sP1769: $o > $o ).

thf(func_def_2130,type,
    sP1770: $o > $o ).

thf(func_def_2131,type,
    sP1771: $i > $o ).

thf(func_def_2132,type,
    sP1772: $o > $o ).

thf(func_def_2133,type,
    sP1773: $o > $o ).

thf(func_def_2134,type,
    sP1774: $o > $o ).

thf(func_def_2135,type,
    sP1775: $o > $o ).

thf(func_def_2136,type,
    sP1776: $o > $o ).

thf(func_def_2137,type,
    sP1777: $o > $o ).

thf(func_def_2138,type,
    sP1778: $o > $o ).

thf(func_def_2139,type,
    sP1779: $o > $o ).

thf(func_def_2140,type,
    sP1780: $o > $o ).

thf(func_def_2141,type,
    sP1781: $o > $o ).

thf(func_def_2142,type,
    sP1782: $o > $o ).

thf(func_def_2143,type,
    sP1783: $i > $o ).

thf(func_def_2144,type,
    sP1784: $o > $o ).

thf(func_def_2145,type,
    sP1785: $o > $o ).

thf(func_def_2146,type,
    sP1786: $o > $o ).

thf(func_def_2147,type,
    sP1787: $o > $o ).

thf(func_def_2148,type,
    sP1788: $o > $o ).

thf(func_def_2149,type,
    sP1789: $o > $o ).

thf(func_def_2150,type,
    sP1790: $o > $o ).

thf(func_def_2151,type,
    sP1791: $o > $o ).

thf(func_def_2152,type,
    sP1792: $o > $o ).

thf(func_def_2153,type,
    sP1793: $o > $o ).

thf(func_def_2154,type,
    sP1794: $o > $o ).

thf(func_def_2155,type,
    sP1795: $o > $o ).

thf(func_def_2156,type,
    sP1796: $o > $o ).

thf(func_def_2157,type,
    sP1797: $o > $o ).

thf(func_def_2158,type,
    sP1798: $o > $o ).

thf(func_def_2159,type,
    sP1799: $o > $o ).

thf(func_def_2160,type,
    sP1800: $o > $o ).

thf(func_def_2161,type,
    sP1801: $o > $o ).

thf(func_def_2162,type,
    sP1802: $o > $o ).

thf(func_def_2163,type,
    sP1803: $o > $o ).

thf(func_def_2164,type,
    sP1804: $o > $o ).

thf(func_def_2165,type,
    sP1805: $o > $o ).

thf(func_def_2166,type,
    sP1806: $o > $o ).

thf(func_def_2167,type,
    sP1807: $o > $o ).

thf(func_def_2168,type,
    sP1808: $o > $o ).

thf(func_def_2169,type,
    sP1809: $o > $o ).

thf(func_def_2170,type,
    sP1810: $o > $o ).

thf(func_def_2171,type,
    sP1811: $o > $o ).

thf(func_def_2172,type,
    sP1812: $o > $o ).

thf(func_def_2173,type,
    sP1813: $o > $o ).

thf(func_def_2174,type,
    sP1814: $o > $o ).

thf(func_def_2175,type,
    sP1815: $o > $o ).

thf(func_def_2176,type,
    sP1816: $o > $o ).

thf(func_def_2177,type,
    sP1817: $o > $o ).

thf(func_def_2178,type,
    sP1818: $o > $o ).

thf(func_def_2179,type,
    sP1819: $i > $o ).

thf(func_def_2180,type,
    sP1820: $o > $o ).

thf(func_def_2181,type,
    sP1821: $o > $o ).

thf(func_def_2182,type,
    sP1822: $o > $o ).

thf(func_def_2183,type,
    sP1823: $o > $o ).

thf(func_def_2184,type,
    sP1824: $o > $o ).

thf(func_def_2185,type,
    sP1825: $o > $o ).

thf(func_def_2186,type,
    sP1826: $o > $o ).

thf(func_def_2187,type,
    sP1827: $i > $o ).

thf(func_def_2188,type,
    sP1828: $o > $o ).

thf(func_def_2189,type,
    sP1829: $o > $o ).

thf(func_def_2190,type,
    sP1830: $o > $o ).

thf(func_def_2191,type,
    sP1831: $o > $o ).

thf(func_def_2192,type,
    sP1832: $o > $o ).

thf(func_def_2193,type,
    sP1833: $o > $o ).

thf(func_def_2194,type,
    sP1834: $o > $o ).

thf(func_def_2195,type,
    sP1835: $o > $o ).

thf(func_def_2196,type,
    sP1836: $o > $o ).

thf(func_def_2197,type,
    sP1837: $o > $o ).

thf(func_def_2198,type,
    sP1838: $o > $o ).

thf(func_def_2199,type,
    sP1839: $i > $o ).

thf(func_def_2200,type,
    sP1840: $o > $o ).

thf(func_def_2201,type,
    sP1841: $o > $o ).

thf(func_def_2202,type,
    sP1842: $o > $o ).

thf(func_def_2203,type,
    sP1843: $o > $o ).

thf(func_def_2204,type,
    sP1844: $o > $o ).

thf(func_def_2205,type,
    sP1845: $o > $o ).

thf(func_def_2206,type,
    sP1846: $o > $o ).

thf(func_def_2207,type,
    sP1847: $o > $o ).

thf(func_def_2208,type,
    sP1848: $o > $o ).

thf(func_def_2209,type,
    sP1849: $o > $o ).

thf(func_def_2210,type,
    sP1850: $o > $o ).

thf(func_def_2211,type,
    sP1851: $o > $o ).

thf(func_def_2212,type,
    sP1852: $o > $o ).

thf(func_def_2213,type,
    sP1853: $o > $o ).

thf(func_def_2214,type,
    sP1854: $o > $o ).

thf(func_def_2215,type,
    sP1855: $o > $o ).

thf(func_def_2216,type,
    sP1856: $o > $o ).

thf(func_def_2217,type,
    sP1857: $o > $o ).

thf(func_def_2218,type,
    sP1858: $o > $o ).

thf(func_def_2219,type,
    sP1859: $o > $o ).

thf(func_def_2220,type,
    sP1860: $o > $o ).

thf(func_def_2221,type,
    sP1861: $o > $o ).

thf(func_def_2222,type,
    sP1862: $o > $o ).

thf(func_def_2223,type,
    sP1863: $o > $o ).

thf(func_def_2224,type,
    sP1864: $o > $o ).

thf(func_def_2225,type,
    sP1865: $o > $o ).

thf(func_def_2226,type,
    sP1866: $o > $o ).

thf(func_def_2227,type,
    sP1867: $o > $o ).

thf(func_def_2228,type,
    sP1868: $o > $o ).

thf(func_def_2229,type,
    sP1869: $o > $o ).

thf(func_def_2230,type,
    sP1870: $o > $o ).

thf(func_def_2231,type,
    sP1871: $o > $o ).

thf(func_def_2232,type,
    sP1872: $o > $o ).

thf(func_def_2233,type,
    sP1873: $o > $o ).

thf(func_def_2234,type,
    sP1874: $o > $o ).

thf(func_def_2235,type,
    sP1875: $o > $o ).

thf(func_def_2236,type,
    sP1876: $o > $o ).

thf(func_def_2237,type,
    sP1877: $o > $o ).

thf(func_def_2238,type,
    sP1878: $o > $o ).

thf(func_def_2239,type,
    sP1879: $o > $o ).

thf(func_def_2240,type,
    sP1880: $o > $o ).

thf(func_def_2241,type,
    sP1881: $o > $o ).

thf(func_def_2242,type,
    sP1882: $o > $o ).

thf(func_def_2243,type,
    sP1883: $o > $o ).

thf(func_def_2244,type,
    sP1884: $o > $o ).

thf(func_def_2245,type,
    sP1885: $o > $o ).

thf(func_def_2246,type,
    sP1886: $o > $o ).

thf(func_def_2247,type,
    sP1887: $o > $o ).

thf(func_def_2248,type,
    sP1888: $o > $o ).

thf(func_def_2249,type,
    sP1889: $i > $o ).

thf(func_def_2250,type,
    sP1890: $o > $o ).

thf(func_def_2251,type,
    sP1891: $o > $o ).

thf(func_def_2252,type,
    sP1892: $o > $o ).

thf(func_def_2253,type,
    sP1893: $o > $o ).

thf(func_def_2254,type,
    sP1894: $o > $o ).

thf(func_def_2255,type,
    sP1895: $o > $o ).

thf(func_def_2256,type,
    sP1896: $o > $o ).

thf(func_def_2257,type,
    sP1897: $o > $o ).

thf(func_def_2258,type,
    sP1898: $o > $o ).

thf(func_def_2259,type,
    sP1899: $o > $o ).

thf(func_def_2260,type,
    sP1900: $o > $o ).

thf(func_def_2261,type,
    sP1901: $o > $o ).

thf(func_def_2262,type,
    sP1902: $o > $o ).

thf(func_def_2263,type,
    sP1903: $o > $o ).

thf(func_def_2264,type,
    sP1904: $o > $o ).

thf(func_def_2265,type,
    sP1905: $o > $o ).

thf(func_def_2266,type,
    sP1906: $o > $o ).

thf(func_def_2267,type,
    sP1907: $o > $o ).

thf(func_def_2268,type,
    sP1908: $o > $o ).

thf(func_def_2269,type,
    sP1909: $o > $o ).

thf(func_def_2270,type,
    sP1910: $o > $o ).

thf(func_def_2271,type,
    sP1911: $o > $o ).

thf(func_def_2272,type,
    sP1912: $o > $o ).

thf(func_def_2273,type,
    sP1913: $o > $o ).

thf(func_def_2274,type,
    sP1914: $o > $o ).

thf(func_def_2275,type,
    sP1915: $o > $o ).

thf(func_def_2276,type,
    sP1916: $o > $o ).

thf(func_def_2277,type,
    sP1917: $o > $o ).

thf(func_def_2278,type,
    sP1918: $o > $o ).

thf(func_def_2279,type,
    sP1919: $o > $o ).

thf(func_def_2280,type,
    sP1920: $o > $o ).

thf(func_def_2281,type,
    sP1921: $o > $o ).

thf(func_def_2282,type,
    sP1922: $o > $o ).

thf(func_def_2283,type,
    sP1923: $o > $o ).

thf(func_def_2284,type,
    sP1924: $o > $o ).

thf(func_def_2285,type,
    sP1925: $o > $o ).

thf(func_def_2286,type,
    sP1926: $o > $o ).

thf(func_def_2287,type,
    sP1927: $o > $o ).

thf(func_def_2288,type,
    sP1928: $o > $o ).

thf(func_def_2289,type,
    sP1929: $o > $o ).

thf(func_def_2290,type,
    sP1930: $o > $o ).

thf(func_def_2291,type,
    sP1931: $o > $o ).

thf(func_def_2292,type,
    sP1932: $i > $o ).

thf(func_def_2293,type,
    sP1933: $o > $o ).

thf(func_def_2294,type,
    sP1934: $o > $o ).

thf(func_def_2295,type,
    sP1935: $o > $o ).

thf(func_def_2296,type,
    sP1936: $o > $o ).

thf(func_def_2297,type,
    sP1937: $o > $o ).

thf(func_def_2298,type,
    sP1938: $o > $o ).

thf(func_def_2299,type,
    sP1939: $i > $o ).

thf(func_def_2300,type,
    sP1940: $o > $o ).

thf(func_def_2301,type,
    sP1941: $o > $o ).

thf(func_def_2302,type,
    sP1942: $o > $o ).

thf(func_def_2303,type,
    sP1943: $o > $o ).

thf(func_def_2304,type,
    sP1944: $o > $o ).

thf(func_def_2305,type,
    sP1945: $o > $o ).

thf(func_def_2306,type,
    sP1946: $o > $o ).

thf(func_def_2307,type,
    sP1947: $o > $o ).

thf(func_def_2308,type,
    sP1948: $o > $o ).

thf(func_def_2309,type,
    sP1949: $o > $o ).

thf(func_def_2310,type,
    sP1950: $o > $o ).

thf(func_def_2311,type,
    sP1951: $i > $o ).

thf(func_def_2312,type,
    sP1952: $o > $o ).

thf(func_def_2313,type,
    sP1953: $o > $o ).

thf(func_def_2314,type,
    sP1954: $o > $o ).

thf(func_def_2315,type,
    sP1955: $o > $o ).

thf(func_def_2316,type,
    sP1956: $o > $o ).

thf(func_def_2317,type,
    sP1957: $o > $o ).

thf(func_def_2318,type,
    sP1958: $i > $o ).

thf(func_def_2319,type,
    sP1959: $o > $o ).

thf(func_def_2320,type,
    sP1960: $o > $o ).

thf(func_def_2321,type,
    sP1961: $o > $o ).

thf(func_def_2322,type,
    sP1962: $o > $o ).

thf(func_def_2323,type,
    sP1963: $o > $o ).

thf(func_def_2324,type,
    sP1964: $o > $o ).

thf(func_def_2325,type,
    sP1965: $o > $o ).

thf(func_def_2326,type,
    sP1966: $o > $o ).

thf(func_def_2327,type,
    sP1967: $o > $o ).

thf(func_def_2328,type,
    sP1968: $o > $o ).

thf(func_def_2329,type,
    sP1969: $o > $o ).

thf(func_def_2330,type,
    sP1970: $o > $o ).

thf(func_def_2331,type,
    sP1971: $i > $o ).

thf(func_def_2332,type,
    sP1972: $o > $o ).

thf(func_def_2333,type,
    sP1973: $o > $o ).

thf(func_def_2334,type,
    sP1974: $o > $o ).

thf(func_def_2335,type,
    sP1975: $o > $o ).

thf(func_def_2336,type,
    sP1976: $o > $o ).

thf(func_def_2337,type,
    sP1977: $i > $o ).

thf(func_def_2338,type,
    sP1978: $o > $o ).

thf(func_def_2339,type,
    sP1979: $o > $o ).

thf(func_def_2340,type,
    sP1980: $o > $o ).

thf(func_def_2341,type,
    sP1981: $o > $o ).

thf(func_def_2342,type,
    sP1982: $o > $o ).

thf(func_def_2343,type,
    sP1983: $o > $o ).

thf(func_def_2344,type,
    sP1984: $o > $o ).

thf(func_def_2345,type,
    sP1985: $o > $o ).

thf(func_def_2346,type,
    sP1986: $o > $o ).

thf(func_def_2347,type,
    sP1987: $o > $o ).

thf(func_def_2348,type,
    sP1988: $o > $o ).

thf(func_def_2349,type,
    sP1989: $o > $o ).

thf(func_def_2350,type,
    sP1990: $o > $o ).

thf(func_def_2351,type,
    sP1991: $o > $o ).

thf(func_def_2352,type,
    sP1992: $o > $o ).

thf(func_def_2353,type,
    sP1993: $o > $o ).

thf(func_def_2354,type,
    sP1994: $o > $o ).

thf(func_def_2355,type,
    sP1995: $o > $o ).

thf(func_def_2356,type,
    sP1996: $o > $o ).

thf(func_def_2357,type,
    sP1997: $o > $o ).

thf(func_def_2358,type,
    sP1998: $o > $o ).

thf(func_def_2359,type,
    sP1999: $o > $o ).

thf(func_def_2360,type,
    sP2000: $o > $o ).

thf(func_def_2361,type,
    sP2001: $o > $o ).

thf(func_def_2362,type,
    sP2002: $o > $o ).

thf(func_def_2363,type,
    sP2003: $o > $o ).

thf(func_def_2364,type,
    sP2004: $o > $o ).

thf(func_def_2365,type,
    sP2005: $i > $o ).

thf(func_def_2366,type,
    sP2006: $o > $o ).

thf(func_def_2367,type,
    sP2007: $o > $o ).

thf(func_def_2368,type,
    sP2008: $o > $o ).

thf(func_def_2369,type,
    sP2009: $o > $o ).

thf(func_def_2370,type,
    sP2010: $o > $o ).

thf(func_def_2371,type,
    sP2011: $o > $o ).

thf(func_def_2372,type,
    sP2012: $o > $o ).

thf(func_def_2373,type,
    sP2013: $i > $o ).

thf(func_def_2374,type,
    sP2014: $o > $o ).

thf(func_def_2375,type,
    sP2015: $o > $o ).

thf(func_def_2376,type,
    sP2016: $o > $o ).

thf(func_def_2377,type,
    sP2017: $o > $o ).

thf(func_def_2378,type,
    sP2018: $o > $o ).

thf(func_def_2379,type,
    sP2019: $o > $o ).

thf(func_def_2380,type,
    sP2020: $o > $o ).

thf(func_def_2381,type,
    sP2021: $o > $o ).

thf(func_def_2382,type,
    sP2022: $o > $o ).

thf(func_def_2383,type,
    sP2023: $o > $o ).

thf(func_def_2384,type,
    sP2024: $o > $o ).

thf(func_def_2385,type,
    sP2025: $o > $o ).

thf(func_def_2386,type,
    sP2026: $o > $o ).

thf(func_def_2387,type,
    sP2027: $o > $o ).

thf(func_def_2388,type,
    sP2028: $o > $o ).

thf(func_def_2389,type,
    sP2029: $o > $o ).

thf(func_def_2390,type,
    sP2030: $o > $o ).

thf(func_def_2391,type,
    sP2031: $o > $o ).

thf(func_def_2392,type,
    sP2032: $o > $o ).

thf(func_def_2393,type,
    sP2033: $o > $o ).

thf(func_def_2394,type,
    sP2034: $o > $o ).

thf(func_def_2395,type,
    sP2035: $o > $o ).

thf(func_def_2396,type,
    sP2036: $o > $o ).

thf(func_def_2397,type,
    sP2037: $o > $o ).

thf(func_def_2398,type,
    sP2038: $o > $o ).

thf(func_def_2399,type,
    sP2039: $o > $o ).

thf(func_def_2400,type,
    sP2040: $i > $o ).

thf(func_def_2401,type,
    sP2041: $o > $o ).

thf(func_def_2402,type,
    sP2042: $o > $o ).

thf(func_def_2403,type,
    sP2043: $o > $o ).

thf(func_def_2404,type,
    sP2044: $o > $o ).

thf(func_def_2405,type,
    sP2045: $o > $o ).

thf(func_def_2406,type,
    sP2046: $o > $o ).

thf(func_def_2407,type,
    sP2047: $o > $o ).

thf(func_def_2408,type,
    sP2048: $o > $o ).

thf(func_def_2409,type,
    sP2049: $o > $o ).

thf(func_def_2410,type,
    sP2050: $o > $o ).

thf(func_def_2411,type,
    sP2051: $o > $o ).

thf(func_def_2412,type,
    sP2052: $o > $o ).

thf(func_def_2413,type,
    sP2053: $o > $o ).

thf(func_def_2414,type,
    sP2054: $o > $o ).

thf(func_def_2415,type,
    sP2055: $o > $o ).

thf(func_def_2416,type,
    sP2056: $o > $o ).

thf(func_def_2417,type,
    sP2057: $o > $o ).

thf(func_def_2418,type,
    sP2058: $o > $o ).

thf(func_def_2419,type,
    sP2059: $o > $o ).

thf(func_def_2420,type,
    sP2060: $o > $o ).

thf(func_def_2421,type,
    sP2061: $o > $o ).

thf(func_def_2422,type,
    sP2062: $o > $o ).

thf(func_def_2423,type,
    sP2063: $o > $o ).

thf(func_def_2424,type,
    sP2064: $o > $o ).

thf(func_def_2425,type,
    sP2065: $o > $o ).

thf(func_def_2426,type,
    sP2066: $o > $o ).

thf(func_def_2427,type,
    sP2067: $o > $o ).

thf(func_def_2428,type,
    sP2068: $i > $o ).

thf(func_def_2429,type,
    sP2069: $o > $o ).

thf(func_def_2430,type,
    sP2070: $o > $o ).

thf(func_def_2431,type,
    sP2071: $o > $o ).

thf(func_def_2432,type,
    sP2072: $o > $o ).

thf(func_def_2433,type,
    sP2073: $i > $o ).

thf(func_def_2434,type,
    sP2074: $o > $o ).

thf(func_def_2435,type,
    sP2075: $o > $o ).

thf(func_def_2436,type,
    sP2076: $o > $o ).

thf(func_def_2437,type,
    sP2077: $o > $o ).

thf(func_def_2438,type,
    sP2078: $o > $o ).

thf(func_def_2439,type,
    sP2079: $o > $o ).

thf(func_def_2440,type,
    sP2080: $o > $o ).

thf(func_def_2441,type,
    sP2081: $o > $o ).

thf(func_def_2442,type,
    sP2082: $o > $o ).

thf(func_def_2443,type,
    sP2083: $o > $o ).

thf(func_def_2444,type,
    sP2084: $o > $o ).

thf(func_def_2445,type,
    sP2085: $o > $o ).

thf(func_def_2446,type,
    sP2086: $o > $o ).

thf(func_def_2447,type,
    sP2087: $o > $o ).

thf(func_def_2448,type,
    sP2088: $o > $o ).

thf(func_def_2449,type,
    sP2089: $o > $o ).

thf(func_def_2450,type,
    sP2090: $o > $o ).

thf(func_def_2451,type,
    sP2091: $o > $o ).

thf(func_def_2452,type,
    sP2092: $o > $o ).

thf(func_def_2453,type,
    sP2093: $o > $o ).

thf(func_def_2454,type,
    sP2094: $o > $o ).

thf(func_def_2455,type,
    sP2095: $o > $o ).

thf(func_def_2456,type,
    sP2096: $o > $o ).

thf(func_def_2457,type,
    sP2097: $o > $o ).

thf(func_def_2458,type,
    sP2098: $o > $o ).

thf(func_def_2459,type,
    sP2099: $o > $o ).

thf(func_def_2460,type,
    sP2100: $o > $o ).

thf(func_def_2461,type,
    sP2101: $o > $o ).

thf(func_def_2462,type,
    sP2102: $i > $o ).

thf(func_def_2463,type,
    sP2103: $o > $o ).

thf(func_def_2464,type,
    sP2104: $o > $o ).

thf(func_def_2465,type,
    sP2105: $o > $o ).

thf(func_def_2466,type,
    sP2106: $o > $o ).

thf(func_def_2467,type,
    sP2107: $o > $o ).

thf(func_def_2468,type,
    sP2108: $o > $o ).

thf(func_def_2469,type,
    sP2109: $i > $o ).

thf(func_def_2470,type,
    sP2110: $o > $o ).

thf(func_def_2471,type,
    sP2111: $o > $o ).

thf(func_def_2472,type,
    sP2112: $o > $o ).

thf(func_def_2473,type,
    sP2113: $o > $o ).

thf(func_def_2474,type,
    sP2114: $o > $o ).

thf(func_def_2475,type,
    sP2115: $o > $o ).

thf(func_def_2476,type,
    sP2116: $o > $o ).

thf(func_def_2477,type,
    sP2117: $o > $o ).

thf(func_def_2478,type,
    sP2118: $o > $o ).

thf(func_def_2479,type,
    sP2119: $o > $o ).

thf(func_def_2480,type,
    sP2120: $o > $o ).

thf(func_def_2481,type,
    sP2121: $o > $o ).

thf(func_def_2482,type,
    sP2122: $o > $o ).

thf(func_def_2483,type,
    sP2123: $o > $o ).

thf(func_def_2484,type,
    sP2124: $o > $o ).

thf(func_def_2485,type,
    sP2125: $o > $o ).

thf(func_def_2486,type,
    sP2126: $o > $o ).

thf(func_def_2487,type,
    sP2127: $o > $o ).

thf(func_def_2488,type,
    sP2128: $o > $o ).

thf(func_def_2489,type,
    sP2129: $o > $o ).

thf(func_def_2490,type,
    sP2130: $o > $o ).

thf(func_def_2491,type,
    sP2131: $o > $o ).

thf(func_def_2492,type,
    sP2132: $o > $o ).

thf(func_def_2493,type,
    sP2133: $o > $o ).

thf(func_def_2494,type,
    sP2134: $o > $o ).

thf(func_def_2495,type,
    sP2135: $o > $o ).

thf(func_def_2496,type,
    sP2136: $o > $o ).

thf(func_def_2497,type,
    sP2137: $o > $o ).

thf(func_def_2498,type,
    sP2138: $i > $o ).

thf(func_def_2499,type,
    sP2139: $o > $o ).

thf(func_def_2500,type,
    sP2140: $o > $o ).

thf(func_def_2501,type,
    sP2141: $o > $o ).

thf(func_def_2502,type,
    sP2142: $o > $o ).

thf(func_def_2503,type,
    sP2143: $o > $o ).

thf(func_def_2504,type,
    sP2144: $o > $o ).

thf(func_def_2505,type,
    sP2145: $o > $o ).

thf(func_def_2506,type,
    sP2146: $o > $o ).

thf(func_def_2507,type,
    sP2147: $o > $o ).

thf(func_def_2508,type,
    sP2148: $o > $o ).

thf(func_def_2509,type,
    sP2149: $o > $o ).

thf(func_def_2510,type,
    sP2150: $o > $o ).

thf(func_def_2511,type,
    sP2151: $o > $o ).

thf(func_def_2512,type,
    sP2152: $o > $o ).

thf(func_def_2513,type,
    sP2153: $o > $o ).

thf(func_def_2514,type,
    sP2154: $o > $o ).

thf(func_def_2515,type,
    sP2155: $o > $o ).

thf(func_def_2516,type,
    sP2156: $o > $o ).

thf(func_def_2517,type,
    sP2157: $o > $o ).

thf(func_def_2518,type,
    sP2158: $o > $o ).

thf(func_def_2519,type,
    sP2159: $o > $o ).

thf(func_def_2520,type,
    sP2160: $o > $o ).

thf(func_def_2521,type,
    sP2161: $o > $o ).

thf(func_def_2522,type,
    sP2162: $o > $o ).

thf(func_def_2523,type,
    sP2163: $o > $o ).

thf(func_def_2524,type,
    sP2164: $o > $o ).

thf(func_def_2525,type,
    sP2165: $o > $o ).

thf(func_def_2526,type,
    sP2166: $o > $o ).

thf(func_def_2527,type,
    sP2167: $o > $o ).

thf(func_def_2528,type,
    sP2168: $o > $o ).

thf(func_def_2529,type,
    sP2169: $o > $o ).

thf(func_def_2530,type,
    sP2170: $i > $o ).

thf(func_def_2531,type,
    sP2171: $o > $o ).

thf(func_def_2532,type,
    sP2172: $o > $o ).

thf(func_def_2533,type,
    sP2173: $o > $o ).

thf(func_def_2534,type,
    sP2174: $o > $o ).

thf(func_def_2535,type,
    sP2175: $o > $o ).

thf(func_def_2536,type,
    sP2176: $o > $o ).

thf(func_def_2537,type,
    sP2177: $o > $o ).

thf(func_def_2538,type,
    sP2178: $o > $o ).

thf(func_def_2539,type,
    sP2179: $o > $o ).

thf(func_def_2540,type,
    sP2180: $o > $o ).

thf(func_def_2541,type,
    sP2181: $i > $o ).

thf(func_def_2542,type,
    sP2182: $o > $o ).

thf(func_def_2543,type,
    sP2183: $o > $o ).

thf(func_def_2544,type,
    sP2184: $o > $o ).

thf(func_def_2545,type,
    sP2185: $o > $o ).

thf(func_def_2546,type,
    sP2186: $o > $o ).

thf(func_def_2547,type,
    sP2187: $o > $o ).

thf(func_def_2548,type,
    sP2188: $o > $o ).

thf(func_def_2549,type,
    sP2189: $o > $o ).

thf(func_def_2550,type,
    sP2190: $o > $o ).

thf(func_def_2551,type,
    sP2191: $o > $o ).

thf(func_def_2552,type,
    sP2192: $o > $o ).

thf(func_def_2553,type,
    sP2193: $o > $o ).

thf(func_def_2554,type,
    sP2194: $o > $o ).

thf(func_def_2555,type,
    sP2195: $o > $o ).

thf(func_def_2556,type,
    sP2196: $o > $o ).

thf(func_def_2557,type,
    sP2197: $o > $o ).

thf(func_def_2558,type,
    sP2198: $i > $o ).

thf(func_def_2559,type,
    sP2199: $o > $o ).

thf(func_def_2560,type,
    sP2200: $o > $o ).

thf(func_def_2561,type,
    sP2201: $o > $o ).

thf(func_def_2562,type,
    sP2202: $o > $o ).

thf(func_def_2563,type,
    sP2203: $o > $o ).

thf(func_def_2564,type,
    sP2204: $o > $o ).

thf(func_def_2565,type,
    sP2205: $o > $o ).

thf(func_def_2566,type,
    sP2206: $o > $o ).

thf(func_def_2567,type,
    sP2207: $o > $o ).

thf(func_def_2568,type,
    sP2208: $o > $o ).

thf(func_def_2569,type,
    sP2209: $o > $o ).

thf(func_def_2570,type,
    sP2210: $o > $o ).

thf(func_def_2571,type,
    sP2211: $o > $o ).

thf(func_def_2572,type,
    sP2212: $o > $o ).

thf(func_def_2573,type,
    sP2213: $o > $o ).

thf(func_def_2574,type,
    sP2214: $o > $o ).

thf(func_def_2575,type,
    sP2215: $o > $o ).

thf(func_def_2576,type,
    sP2216: $o > $o ).

thf(func_def_2577,type,
    sP2217: $o > $o ).

thf(func_def_2578,type,
    sP2218: $o > $o ).

thf(func_def_2579,type,
    sP2219: $i > $o ).

thf(func_def_2580,type,
    sP2220: $o > $o ).

thf(func_def_2581,type,
    sP2221: $o > $o ).

thf(func_def_2582,type,
    sP2222: $o > $o ).

thf(func_def_2583,type,
    sP2223: $i > $o ).

thf(func_def_2584,type,
    sP2224: $o > $o ).

thf(func_def_2585,type,
    sP2225: $o > $o ).

thf(func_def_2586,type,
    sP2226: $o > $o ).

thf(func_def_2587,type,
    sP2227: $o > $o ).

thf(func_def_2588,type,
    sP2228: $o > $o ).

thf(func_def_2589,type,
    sP2229: $o > $o ).

thf(func_def_2590,type,
    sP2230: $o > $o ).

thf(func_def_2591,type,
    sP2231: $o > $o ).

thf(func_def_2592,type,
    sP2232: $o > $o ).

thf(func_def_2593,type,
    sP2233: $o > $o ).

thf(func_def_2594,type,
    sP2234: $o > $o ).

thf(func_def_2595,type,
    sP2235: $o > $o ).

thf(func_def_2596,type,
    sP2236: $o > $o ).

thf(func_def_2597,type,
    sP2237: $o > $o ).

thf(func_def_2598,type,
    sP2238: $o > $o ).

thf(func_def_2599,type,
    sP2239: $o > $o ).

thf(func_def_2600,type,
    sP2240: $o > $o ).

thf(func_def_2601,type,
    sP2241: $o > $o ).

thf(func_def_2602,type,
    sP2242: $o > $o ).

thf(func_def_2603,type,
    sP2243: $o > $o ).

thf(func_def_2604,type,
    sP2244: $o > $o ).

thf(func_def_2605,type,
    sP2245: $o > $o ).

thf(func_def_2606,type,
    sP2246: $o > $o ).

thf(func_def_2607,type,
    sP2247: $i > $o ).

thf(func_def_2608,type,
    sP2248: $o > $o ).

thf(func_def_2609,type,
    sP2249: $o > $o ).

thf(func_def_2610,type,
    sP2250: $o > $o ).

thf(func_def_2611,type,
    sP2251: $i > $o ).

thf(func_def_2612,type,
    sP2252: $o > $o ).

thf(func_def_2613,type,
    sP2253: $o > $o ).

thf(func_def_2614,type,
    sP2254: $o > $o ).

thf(func_def_2615,type,
    sP2255: $o > $o ).

thf(func_def_2616,type,
    sP2256: $o > $o ).

thf(func_def_2617,type,
    sP2257: $o > $o ).

thf(func_def_2618,type,
    sP2258: $i > $o ).

thf(func_def_2619,type,
    sP2259: $o > $o ).

thf(func_def_2620,type,
    sP2260: $o > $o ).

thf(func_def_2621,type,
    sP2261: $o > $o ).

thf(func_def_2622,type,
    sP2262: $o > $o ).

thf(func_def_2623,type,
    sP2263: $o > $o ).

thf(func_def_2624,type,
    sP2264: $o > $o ).

thf(func_def_2625,type,
    sP2265: $o > $o ).

thf(func_def_2626,type,
    sP2266: $o > $o ).

thf(func_def_2627,type,
    sP2267: $i > $o ).

thf(func_def_2628,type,
    sP2268: $o > $o ).

thf(func_def_2629,type,
    sP2269: $o > $o ).

thf(func_def_2630,type,
    sP2270: $o > $o ).

thf(func_def_2631,type,
    sP2271: $o > $o ).

thf(func_def_2632,type,
    sP2272: $o > $o ).

thf(func_def_2633,type,
    sP2273: $o > $o ).

thf(func_def_2634,type,
    sP2274: $o > $o ).

thf(func_def_2635,type,
    sP2275: $o > $o ).

thf(func_def_2636,type,
    sP2276: $i > $o ).

thf(func_def_2637,type,
    sP2277: $o > $o ).

thf(func_def_2638,type,
    sP2278: $o > $o ).

thf(func_def_2639,type,
    sP2279: $o > $o ).

thf(func_def_2640,type,
    sP2280: $o > $o ).

thf(func_def_2641,type,
    sP2281: $o > $o ).

thf(func_def_2642,type,
    sP2282: $o > $o ).

thf(func_def_2643,type,
    sP2283: $o > $o ).

thf(func_def_2644,type,
    sP2284: $o > $o ).

thf(func_def_2645,type,
    sP2285: $o > $o ).

thf(func_def_2646,type,
    sP2286: $o > $o ).

thf(func_def_2647,type,
    sP2287: $o > $o ).

thf(func_def_2648,type,
    sP2288: $o > $o ).

thf(func_def_2649,type,
    sP2289: $o > $o ).

thf(func_def_2650,type,
    sP2290: $o > $o ).

thf(func_def_2651,type,
    sP2291: $o > $o ).

thf(func_def_2652,type,
    sP2292: $o > $o ).

thf(func_def_2653,type,
    sP2293: $o > $o ).

thf(func_def_2654,type,
    sP2294: $o > $o ).

thf(func_def_2655,type,
    sP2295: $o > $o ).

thf(func_def_2656,type,
    sP2296: $i > $o ).

thf(func_def_2657,type,
    sP2297: $i > $o ).

thf(func_def_2658,type,
    sP2298: $o > $o ).

thf(func_def_2659,type,
    sP2299: $o > $o ).

thf(func_def_2660,type,
    sP2300: $o > $o ).

thf(func_def_2661,type,
    sP2301: $o > $o ).

thf(func_def_2662,type,
    sP2302: $o > $o ).

thf(func_def_2663,type,
    sP2303: $o > $o ).

thf(func_def_2664,type,
    sP2304: $o > $o ).

thf(func_def_2665,type,
    sP2305: $o > $o ).

thf(func_def_2666,type,
    sP2306: $o > $o ).

thf(func_def_2667,type,
    sP2307: $o > $o ).

thf(func_def_2668,type,
    sP2308: $o > $o ).

thf(func_def_2669,type,
    sP2309: $o > $o ).

thf(func_def_2670,type,
    sP2310: $o > $o ).

thf(func_def_2671,type,
    sP2311: $o > $o ).

thf(func_def_2672,type,
    sP2312: $o > $o ).

thf(func_def_2673,type,
    sP2313: $o > $o ).

thf(func_def_2674,type,
    sP2314: $o > $o ).

thf(func_def_2675,type,
    sP2315: $o > $o ).

thf(func_def_2676,type,
    sP2316: $o > $o ).

thf(func_def_2677,type,
    sP2317: $o > $o ).

thf(func_def_2678,type,
    sP2318: $i > $o ).

thf(func_def_2679,type,
    sP2319: $o > $o ).

thf(func_def_2680,type,
    sP2320: $o > $o ).

thf(func_def_2681,type,
    sP2321: $o > $o ).

thf(func_def_2682,type,
    sP2322: $o > $o ).

thf(func_def_2683,type,
    sP2323: $o > $o ).

thf(func_def_2684,type,
    sP2324: $i > $o ).

thf(func_def_2685,type,
    sP2325: $o > $o ).

thf(func_def_2686,type,
    sP2326: $o > $o ).

thf(func_def_2687,type,
    sP2327: $o > $o ).

thf(func_def_2688,type,
    sP2328: $o > $o ).

thf(func_def_2689,type,
    sP2329: $o > $o ).

thf(func_def_2690,type,
    sP2330: $o > $o ).

thf(func_def_2691,type,
    sP2331: $o > $o ).

thf(func_def_2692,type,
    sP2332: $o > $o ).

thf(func_def_2693,type,
    sP2333: $o > $o ).

thf(func_def_2694,type,
    sP2334: $o > $o ).

thf(func_def_2695,type,
    sP2335: $o > $o ).

thf(func_def_2696,type,
    sP2336: $o > $o ).

thf(func_def_2697,type,
    sP2337: $o > $o ).

thf(func_def_2698,type,
    sP2338: $o > $o ).

thf(func_def_2699,type,
    sP2339: $o > $o ).

thf(func_def_2700,type,
    sP2340: $o > $o ).

thf(func_def_2701,type,
    sP2341: $o > $o ).

thf(func_def_2702,type,
    sP2342: $o > $o ).

thf(func_def_2703,type,
    sP2343: $o > $o ).

thf(func_def_2704,type,
    sP2344: $o > $o ).

thf(func_def_2705,type,
    sP2345: $o > $o ).

thf(func_def_2706,type,
    sP2346: $o > $o ).

thf(func_def_2707,type,
    sP2347: $o > $o ).

thf(func_def_2708,type,
    sP2348: $o > $o ).

thf(func_def_2709,type,
    sP2349: $o > $o ).

thf(func_def_2710,type,
    sP2350: $o > $o ).

thf(func_def_2711,type,
    sP2351: $o > $o ).

thf(func_def_2712,type,
    sP2352: $o > $o ).

thf(func_def_2713,type,
    sP2353: $o > $o ).

thf(func_def_2714,type,
    sP2354: $o > $o ).

thf(func_def_2715,type,
    sP2355: $o > $o ).

thf(func_def_2716,type,
    sP2356: $o > $o ).

thf(func_def_2717,type,
    sP2357: $o > $o ).

thf(func_def_2718,type,
    sP2358: $o > $o ).

thf(func_def_2719,type,
    sP2359: $o > $o ).

thf(func_def_2720,type,
    sP2360: $o > $o ).

thf(func_def_2721,type,
    sP2361: $o > $o ).

thf(func_def_2722,type,
    sP2362: $o > $o ).

thf(func_def_2723,type,
    sP2363: $o > $o ).

thf(func_def_2724,type,
    sP2364: $o > $o ).

thf(func_def_2725,type,
    sP2365: $o > $o ).

thf(func_def_2726,type,
    sP2366: $o > $o ).

thf(func_def_2727,type,
    sP2367: $o > $o ).

thf(func_def_2728,type,
    sP2368: $o > $o ).

thf(func_def_2729,type,
    sP2369: $o > $o ).

thf(func_def_2730,type,
    sP2370: $o > $o ).

thf(func_def_2731,type,
    sP2371: $o > $o ).

thf(func_def_2732,type,
    sP2372: $o > $o ).

thf(func_def_2733,type,
    sP2373: $o > $o ).

thf(func_def_2734,type,
    sP2374: $o > $o ).

thf(func_def_2735,type,
    sP2375: $o > $o ).

thf(func_def_2736,type,
    sP2376: $o > $o ).

thf(func_def_2737,type,
    sP2377: $o > $o ).

thf(func_def_2738,type,
    sP2378: $o > $o ).

thf(func_def_2739,type,
    sP2379: $i > $o ).

thf(func_def_2740,type,
    sP2380: $o > $o ).

thf(func_def_2741,type,
    sP2381: $o > $o ).

thf(func_def_2742,type,
    sP2382: $o > $o ).

thf(func_def_2743,type,
    sP2383: $o > $o ).

thf(func_def_2744,type,
    sP2384: $o > $o ).

thf(func_def_2745,type,
    sP2385: $o > $o ).

thf(func_def_2746,type,
    sP2386: $o > $o ).

thf(func_def_2747,type,
    sP2387: $o > $o ).

thf(func_def_2748,type,
    sP2388: $o > $o ).

thf(func_def_2749,type,
    sP2389: $o > $o ).

thf(func_def_2750,type,
    sP2390: $o > $o ).

thf(func_def_2751,type,
    sP2391: $o > $o ).

thf(func_def_2752,type,
    sP2392: $o > $o ).

thf(func_def_2753,type,
    sP2393: $o > $o ).

thf(func_def_2754,type,
    sP2394: $o > $o ).

thf(func_def_2755,type,
    sP2395: $o > $o ).

thf(func_def_2756,type,
    sP2396: $o > $o ).

thf(func_def_2757,type,
    sP2397: $o > $o ).

thf(func_def_2758,type,
    sP2398: $o > $o ).

thf(func_def_2759,type,
    sP2399: $o > $o ).

thf(func_def_2760,type,
    sP2400: $o > $o ).

thf(func_def_2761,type,
    sP2401: $i > $o ).

thf(func_def_2762,type,
    sP2402: $o > $o ).

thf(func_def_2763,type,
    sP2403: $o > $o ).

thf(func_def_2764,type,
    sP2404: $o > $o ).

thf(func_def_2765,type,
    sP2405: $o > $o ).

thf(func_def_2766,type,
    sP2406: $i > $o ).

thf(func_def_2767,type,
    sP2407: $o > $o ).

thf(func_def_2768,type,
    sP2408: $o > $o ).

thf(func_def_2769,type,
    sP2409: $o > $o ).

thf(func_def_2770,type,
    sP2410: $o > $o ).

thf(func_def_2771,type,
    sP2411: $o > $o ).

thf(func_def_2772,type,
    sP2412: $o > $o ).

thf(func_def_2773,type,
    sP2413: $o > $o ).

thf(func_def_2774,type,
    sP2414: $o > $o ).

thf(func_def_2775,type,
    sP2415: $o > $o ).

thf(func_def_2776,type,
    sP2416: $o > $o ).

thf(func_def_2777,type,
    sP2417: $o > $o ).

thf(func_def_2778,type,
    sP2418: $o > $o ).

thf(func_def_2779,type,
    sP2419: $o > $o ).

thf(func_def_2780,type,
    sP2420: $o > $o ).

thf(func_def_2781,type,
    sP2421: $o > $o ).

thf(func_def_2782,type,
    sP2422: $o > $o ).

thf(func_def_2783,type,
    sP2423: $o > $o ).

thf(func_def_2784,type,
    sP2424: $o > $o ).

thf(func_def_2785,type,
    sP2425: $o > $o ).

thf(func_def_2786,type,
    sP2426: $o > $o ).

thf(func_def_2787,type,
    sP2427: $o > $o ).

thf(func_def_2788,type,
    sP2428: $o > $o ).

thf(func_def_2789,type,
    sP2429: $o > $o ).

thf(func_def_2790,type,
    sP2430: $o > $o ).

thf(func_def_2791,type,
    sP2431: $o > $o ).

thf(func_def_2792,type,
    sP2432: $o > $o ).

thf(func_def_2793,type,
    sP2433: $o > $o ).

thf(func_def_2794,type,
    sP2434: $o > $o ).

thf(func_def_2795,type,
    sP2435: $o > $o ).

thf(func_def_2796,type,
    sP2436: $o > $o ).

thf(func_def_2797,type,
    sP2437: $o > $o ).

thf(func_def_2798,type,
    sP2438: $o > $o ).

thf(func_def_2799,type,
    sP2439: $o > $o ).

thf(func_def_2800,type,
    sP2440: $o > $o ).

thf(func_def_2801,type,
    sP2441: $o > $o ).

thf(func_def_2802,type,
    sP2442: $o > $o ).

thf(func_def_2803,type,
    sP2443: $o > $o ).

thf(func_def_2804,type,
    sP2444: $o > $o ).

thf(func_def_2805,type,
    sP2445: $i > $o ).

thf(func_def_2806,type,
    sP2446: $o > $o ).

thf(func_def_2807,type,
    sP2447: $o > $o ).

thf(func_def_2808,type,
    sP2448: $o > $o ).

thf(func_def_2809,type,
    sP2449: $o > $o ).

thf(func_def_2810,type,
    sP2450: $o > $o ).

thf(func_def_2811,type,
    sP2451: $o > $o ).

thf(func_def_2812,type,
    sP2452: $o > $o ).

thf(func_def_2813,type,
    sP2453: $o > $o ).

thf(func_def_2814,type,
    sP2454: $o > $o ).

thf(func_def_2815,type,
    sP2455: $o > $o ).

thf(func_def_2816,type,
    sP2456: $o > $o ).

thf(func_def_2817,type,
    sP2457: $o > $o ).

thf(func_def_2818,type,
    sP2458: $o > $o ).

thf(func_def_2819,type,
    sP2459: $o > $o ).

thf(func_def_2820,type,
    sP2460: $o > $o ).

thf(func_def_2821,type,
    sP2461: $o > $o ).

thf(func_def_2822,type,
    sP2462: $i > $o ).

thf(func_def_2823,type,
    sP2463: $o > $o ).

thf(func_def_2824,type,
    sP2464: $o > $o ).

thf(func_def_2825,type,
    sP2465: $o > $o ).

thf(func_def_2826,type,
    sP2466: $o > $o ).

thf(func_def_2827,type,
    sP2467: $o > $o ).

thf(func_def_2828,type,
    sP2468: $o > $o ).

thf(func_def_2829,type,
    sP2469: $o > $o ).

thf(func_def_2830,type,
    sP2470: $o > $o ).

thf(func_def_2831,type,
    sP2471: $i > $o ).

thf(func_def_2832,type,
    sP2472: $o > $o ).

thf(func_def_2833,type,
    sP2473: $i > $o ).

thf(func_def_2834,type,
    sP2474: $o > $o ).

thf(func_def_2835,type,
    sP2475: $o > $o ).

thf(func_def_2836,type,
    sP2476: $o > $o ).

thf(func_def_2837,type,
    sP2477: $o > $o ).

thf(func_def_2838,type,
    sP2478: $o > $o ).

thf(func_def_2839,type,
    sP2479: $o > $o ).

thf(func_def_2840,type,
    sP2480: $o > $o ).

thf(func_def_2841,type,
    sP2481: $o > $o ).

thf(func_def_2842,type,
    sP2482: $o > $o ).

thf(func_def_2843,type,
    sP2483: $o > $o ).

thf(func_def_2844,type,
    sP2484: $o > $o ).

thf(func_def_2845,type,
    sP2485: $o > $o ).

thf(func_def_2846,type,
    sP2486: $o > $o ).

thf(func_def_2847,type,
    sP2487: $i > $o ).

thf(func_def_2848,type,
    sP2488: $o > $o ).

thf(func_def_2849,type,
    sP2489: $o > $o ).

thf(func_def_2850,type,
    sP2490: $o > $o ).

thf(func_def_2851,type,
    sP2491: $o > $o ).

thf(func_def_2852,type,
    sP2492: $o > $o ).

thf(func_def_2853,type,
    sP2493: $o > $o ).

thf(func_def_2854,type,
    sP2494: $o > $o ).

thf(func_def_2855,type,
    sP2495: $o > $o ).

thf(func_def_2856,type,
    sP2496: $o > $o ).

thf(func_def_2857,type,
    sP2497: $o > $o ).

thf(func_def_2858,type,
    sP2498: $o > $o ).

thf(func_def_2859,type,
    sP2499: $o > $o ).

thf(func_def_2860,type,
    sP2500: $o > $o ).

thf(func_def_2861,type,
    sP2501: $o > $o ).

thf(func_def_2862,type,
    sP2502: $o > $o ).

thf(func_def_2863,type,
    sP2503: $o > $o ).

thf(func_def_2864,type,
    sP2504: $o > $o ).

thf(func_def_2865,type,
    sP2505: $o > $o ).

thf(func_def_2866,type,
    sP2506: $o > $o ).

thf(func_def_2867,type,
    sP2507: $o > $o ).

thf(func_def_2868,type,
    sP2508: $o > $o ).

thf(func_def_2869,type,
    sP2509: $o > $o ).

thf(func_def_2870,type,
    sP2510: $o > $o ).

thf(func_def_2871,type,
    sP2511: $o > $o ).

thf(func_def_2872,type,
    sP2512: $o > $o ).

thf(func_def_2873,type,
    sP2513: $o > $o ).

thf(func_def_2874,type,
    sP2514: $o > $o ).

thf(func_def_2875,type,
    sP2515: $o > $o ).

thf(func_def_2876,type,
    sP2516: $o > $o ).

thf(func_def_2877,type,
    sP2517: $o > $o ).

thf(func_def_2878,type,
    sP2518: $o > $o ).

thf(func_def_2879,type,
    sP2519: $o > $o ).

thf(func_def_2880,type,
    sP2520: $o > $o ).

thf(func_def_2881,type,
    sP2521: $o > $o ).

thf(func_def_2882,type,
    sP2522: $o > $o ).

thf(func_def_2883,type,
    sP2523: $o > $o ).

thf(func_def_2884,type,
    sP2524: $o > $o ).

thf(func_def_2885,type,
    sP2525: $o > $o ).

thf(func_def_2886,type,
    sP2526: $o > $o ).

thf(func_def_2887,type,
    sP2527: $o > $o ).

thf(func_def_2888,type,
    sP2528: $o > $o ).

thf(func_def_2889,type,
    sP2529: $o > $o ).

thf(func_def_2890,type,
    sP2530: $o > $o ).

thf(func_def_2891,type,
    sP2531: $o > $o ).

thf(func_def_2892,type,
    sP2532: $o > $o ).

thf(func_def_2893,type,
    sP2533: $o > $o ).

thf(func_def_2894,type,
    sP2534: $o > $o ).

thf(func_def_2895,type,
    sP2535: $o > $o ).

thf(func_def_2896,type,
    sP2536: $o > $o ).

thf(func_def_2897,type,
    sP2537: $o > $o ).

thf(func_def_2898,type,
    sP2538: $o > $o ).

thf(func_def_2899,type,
    sP2539: $o > $o ).

thf(func_def_2900,type,
    sP2540: $o > $o ).

thf(func_def_2901,type,
    sP2541: $o > $o ).

thf(func_def_2902,type,
    sP2542: $o > $o ).

thf(func_def_2903,type,
    sP2543: $o > $o ).

thf(func_def_2904,type,
    sP2544: $o > $o ).

thf(func_def_2905,type,
    sP2545: $o > $o ).

thf(func_def_2906,type,
    sP2546: $o > $o ).

thf(func_def_2907,type,
    sP2547: $o > $o ).

thf(func_def_2908,type,
    sP2548: $o > $o ).

thf(func_def_2909,type,
    sP2549: $o > $o ).

thf(func_def_2910,type,
    sP2550: $o > $o ).

thf(func_def_2911,type,
    sP2551: $o > $o ).

thf(func_def_2912,type,
    sP2552: $o > $o ).

thf(func_def_2913,type,
    sP2553: $o > $o ).

thf(func_def_2914,type,
    sP2554: $o > $o ).

thf(func_def_2915,type,
    sP2555: $o > $o ).

thf(func_def_2916,type,
    sP2556: $o > $o ).

thf(func_def_2917,type,
    sP2557: $o > $o ).

thf(func_def_2918,type,
    sP2558: $o > $o ).

thf(func_def_2919,type,
    sP2559: $o > $o ).

thf(func_def_2920,type,
    sP2560: $o > $o ).

thf(func_def_2921,type,
    sP2561: $o > $o ).

thf(func_def_2922,type,
    sP2562: $o > $o ).

thf(func_def_2923,type,
    sP2563: $o > $o ).

thf(func_def_2924,type,
    sP2564: $o > $o ).

thf(func_def_2925,type,
    sP2565: $o > $o ).

thf(func_def_2926,type,
    sP2566: $o > $o ).

thf(func_def_2927,type,
    sP2567: $o > $o ).

thf(func_def_2928,type,
    sP2568: $o > $o ).

thf(func_def_2929,type,
    sP2569: $o > $o ).

thf(func_def_2930,type,
    sP2570: $o > $o ).

thf(func_def_2931,type,
    sP2571: $o > $o ).

thf(func_def_2932,type,
    sP2572: $o > $o ).

thf(func_def_2933,type,
    sP2573: $o > $o ).

thf(func_def_2934,type,
    sP2574: $o > $o ).

thf(func_def_2935,type,
    sP2575: $o > $o ).

thf(func_def_2936,type,
    sP2576: $o > $o ).

thf(func_def_2937,type,
    sP2577: $o > $o ).

thf(func_def_2938,type,
    sP2578: $o > $o ).

thf(func_def_2939,type,
    sP2579: $o > $o ).

thf(func_def_2940,type,
    sP2580: $o > $o ).

thf(func_def_2941,type,
    sP2581: $o > $o ).

thf(func_def_2942,type,
    sP2582: $o > $o ).

thf(func_def_2943,type,
    sP2583: $o > $o ).

thf(func_def_2944,type,
    sP2584: $o > $o ).

thf(func_def_2945,type,
    sP2585: $o > $o ).

thf(func_def_2946,type,
    sP2586: $o > $o ).

thf(func_def_2947,type,
    sP2587: $o > $o ).

thf(func_def_2948,type,
    sP2588: $o > $o ).

thf(func_def_2949,type,
    sP2589: $o > $o ).

thf(func_def_2950,type,
    sP2590: $o > $o ).

thf(func_def_2951,type,
    sP2591: $o > $o ).

thf(func_def_2952,type,
    sP2592: $o > $o ).

thf(func_def_2953,type,
    sP2593: $o > $o ).

thf(func_def_2954,type,
    sP2594: $o > $o ).

thf(func_def_2955,type,
    sP2595: $o > $o ).

thf(func_def_2956,type,
    sP2596: $o > $o ).

thf(func_def_2957,type,
    sP2597: $o > $o ).

thf(func_def_2958,type,
    sP2598: $o > $o ).

thf(func_def_2959,type,
    sP2599: $o > $o ).

thf(func_def_2960,type,
    sP2600: $o > $o ).

thf(func_def_2961,type,
    sP2601: $o > $o ).

thf(func_def_2962,type,
    sP2602: $o > $o ).

thf(func_def_2963,type,
    sP2603: $o > $o ).

thf(func_def_2964,type,
    sP2604: $o > $o ).

thf(func_def_2965,type,
    sP2605: $o > $o ).

thf(func_def_2966,type,
    sP2606: $o > $o ).

thf(func_def_2967,type,
    sP2607: $o > $o ).

thf(func_def_2968,type,
    sP2608: $i > $o ).

thf(func_def_2969,type,
    sP2609: $o > $o ).

thf(func_def_2970,type,
    sP2610: $o > $o ).

thf(func_def_2971,type,
    sP2611: $o > $o ).

thf(func_def_2972,type,
    sP2612: $o > $o ).

thf(func_def_2973,type,
    sP2613: $o > $o ).

thf(func_def_2974,type,
    sP2614: $o > $o ).

thf(func_def_2975,type,
    sP2615: $i > $o ).

thf(func_def_2976,type,
    sP2616: $o > $o ).

thf(func_def_2977,type,
    sP2617: $o > $o ).

thf(func_def_2978,type,
    sP2618: $o > $o ).

thf(func_def_2979,type,
    sP2619: $o > $o ).

thf(func_def_2980,type,
    sP2620: $o > $o ).

thf(func_def_2981,type,
    sP2621: $o > $o ).

thf(func_def_2982,type,
    sP2622: $o > $o ).

thf(func_def_2983,type,
    sP2623: $o > $o ).

thf(func_def_2984,type,
    sP2624: $o > $o ).

thf(func_def_2985,type,
    sP2625: $o > $o ).

thf(func_def_2986,type,
    sP2626: $o > $o ).

thf(func_def_2987,type,
    sP2627: $o > $o ).

thf(func_def_2988,type,
    sP2628: $o > $o ).

thf(func_def_2989,type,
    sP2629: $o > $o ).

thf(func_def_2991,type,
    sK2631: $i > $i ).

thf(func_def_2992,type,
    sK2632: ( $i > $o ) > $i ).

thf(func_def_2993,type,
    sK2633: ( $i > $o ) > $i ).

thf(func_def_2994,type,
    sK2634: ( $i > $o ) > $i ).

thf(func_def_2995,type,
    sK2635: ( $i > $o ) > $i > $i ).

thf(func_def_2996,type,
    sK2636: ( $i > $o ) > $i > $i ).

thf(func_def_2997,type,
    sK2637: ( $i > $o ) > $i > $i ).

thf(func_def_2998,type,
    sK2638: ( $i > $o ) > $i ).

thf(func_def_2999,type,
    sK2639: ( $i > $o ) > $i ).

thf(func_def_3000,type,
    sK2640: ( $i > $o ) > $i > $i ).

thf(func_def_3001,type,
    sK2641: ( $i > $o ) > $i > $i ).

thf(func_def_3002,type,
    sK2642: ( $i > $o ) > $i > $i ).

thf(func_def_3003,type,
    sK2643: ( $i > $o ) > $i ).

thf(func_def_3004,type,
    sK2644: ( $i > $o ) > $i ).

thf(func_def_3005,type,
    sK2645: ( $i > $o ) > $i ).

thf(func_def_3006,type,
    sK2646: ( $i > $o ) > $i ).

thf(func_def_3007,type,
    sK2647: ( $i > $o ) > $i ).

thf(func_def_3008,type,
    sK2648: ( $i > $o ) > $i > $i ).

thf(func_def_3009,type,
    sK2649: ( $i > $o ) > $i > $i ).

thf(func_def_3010,type,
    sK2650: ( $i > $o ) > $i ).

thf(func_def_3011,type,
    sK2651: ( $i > $o ) > $i > $i ).

thf(func_def_3012,type,
    sK2652: $i > ( $i > $o ) > $i ).

thf(func_def_3013,type,
    sK2653: ( $i > $o ) > $i ).

thf(func_def_3014,type,
    ph2654: 
      !>[X0: $tType] : X0 ).

thf(f64763,plain,
    $false,
    inference(avatar_sat_refutation,[status(thm)],[f9544,f9884,f11834,f64729,f64761]) ).

thf(f64761,plain,
    ~ spl2630_312,
    inference(avatar_contradiction_clause,[status(thm)],[f64760]) ).

thf(f64760,plain,
    ( $false
    | ~ spl2630_312 ),
    inference(trivial_inequality_removal,[status(thm)],[f64759]) ).

thf(f64759,plain,
    ( ( $true = $false )
    | ~ spl2630_312 ),
    inference(forward_demodulation,[status(thm)],[f9883,f7753]) ).

thf(f7753,plain,
    ( $false
    = ( sP2317 @ $true ) ),
    introduced(definition,[new_symbols(naming,[sP2317])],[inequality_splitting_name_introduction]) ).

thf(f9883,plain,
    ( ( $true
      = ( sP2317 @ $true ) )
    | ~ spl2630_312 ),
    inference(avatar_component_clause,[status(thm)],[f9881]) ).

thf(f9881,definition,
    ( spl2630_312
  <=> ( $true
      = ( sP2317 @ $true ) ) ),
    introduced(definition,[new_symbols(naming,[spl2630_312])],[avatar_definition]) ).

thf(f64729,plain,
    ( ~ spl2630_231
    | ~ spl2630_311 ),
    inference(avatar_contradiction_clause,[status(thm)],[f64728]) ).

thf(f64728,plain,
    ( $false
    | ~ spl2630_231
    | ~ spl2630_311 ),
    inference(subsumption_resolution,[status(thm)],[f64655,f53596]) ).

thf(f53596,plain,
    ( ( binintersect @ ( cartprod @ sK50 @ sK50 ) @ ( binunion @ sK49 @ sK51 ) )
   != ( binunion @ sK49 @ sK51 ) ),
    inference(trivial_inequality_removal,[status(thm)],[f53595]) ).

thf(f53595,plain,
    ( ( $true = $false )
    | ( ( binintersect @ ( cartprod @ sK50 @ sK50 ) @ ( binunion @ sK49 @ sK51 ) )
     != ( binunion @ sK49 @ sK51 ) ) ),
    inference(forward_demodulation,[status(thm)],[f53585,f5830]) ).

thf(f5830,plain,
    ( ( sP1054 @ $true )
    = $false ),
    introduced(definition,[new_symbols(naming,[sP1054])],[inequality_splitting_name_introduction]) ).

thf(f53585,plain,
    ( ( $true
      = ( sP1054 @ $true ) )
    | ( ( binintersect @ ( cartprod @ sK50 @ sK50 ) @ ( binunion @ sK49 @ sK51 ) )
     != ( binunion @ sK49 @ sK51 ) ) ),
    inference(superposition,[status(thm)],[f8515,f10857]) ).

thf(f10857,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( subset @ X1 @ X0 ) )
      | ( ( binintersect @ X0 @ X1 )
       != X1 ) ),
    inference(trivial_inequality_removal,[status(thm)],[f10856]) ).

thf(f10856,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( binintersect @ X0 @ X1 )
       != X1 )
      | ( $true = $false )
      | ( $true
        = ( subset @ X1 @ X0 ) ) ),
    inference(forward_demodulation,[status(thm)],[f6407,f6406]) ).

thf(f6406,plain,
    ( $false
    = ( sP1433 @ $true ) ),
    introduced(definition,[new_symbols(naming,[sP1433])],[inequality_splitting_name_introduction]) ).

thf(f6407,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( subset @ X1 @ X0 ) )
      | ( $true
        = ( sP1433 @ $true ) )
      | ( ( binintersect @ X0 @ X1 )
       != X1 ) ),
    inference(inequality_splitting,[status(thm)],[f4855,f6406]) ).

thf(f4855,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( subset @ X1 @ X0 ) )
      | ( ( binintersect @ X0 @ X1 )
       != X1 )
      | ( $true != $true ) ),
    inference(definition_unfolding,[status(thm)],[f3524,f2955]) ).

thf(f2955,plain,
    binintersectSubset3 = $true,
    inference(cnf_transformation,[status(thm)],[f1401]) ).

thf(f1401,plain,
    ( ( lam2p = $true )
    & ( infuncsetfunc = $true )
    & ( omegaSAx = $true )
    & ( brelnall1 = $true )
    & ( omega__Cong = $true )
    & ( intersectInPowersetIntersectUnions = $true )
    & ( woz1_2 = $true )
    & ( powersetTI1 = $true )
    & ( binunionTILcontra = $true )
    & ( setminusT_lem = $true )
    & ( foundationAx = $true )
    & ( wellorderingAx = $true )
    & ( setukpairinjR2 = $true )
    & ( breln1invE = $true )
    & ( setunionsingleton = $true )
    & ( complementSubsetComplementIntersect = $true )
    & ( funcGraphProp1 = $true )
    & ( powerset__Cong = $true )
    & ( subsetTrans = $true )
    & ( eqbreln1 = $true )
    & ( setoftrueEq = $true )
    & ( cartprodfstin = $true )
    & ( complementImpComplementIntersect = $true )
    & ( nonemptyE1 = $true )
    & ( lamp = $true )
    & ( dsetconstrI = $true )
    & ( exuI3 = $true )
    & ( breln1SetBreln1 = $true )
    & ( ifp = $true )
    & ( inIntersectImpInUnion2 = $true )
    & ( apProp = $true )
    & ( breln1all1 = $true )
    & ( breln1compprop = $true )
    & ( cartprodpairsurjEq = $true )
    & ( iftrueProp1 = $true )
    & ( binintersectSubset2 = $true )
    & ( woz13rule1 = $true )
    & ( upairequniteq = $true )
    & ( woz1_5 = $true )
    & ( setadjoinE = $true )
    & ( cartprodpairmemEL = $true )
    & ( quantDeMorgan3 = $true )
    & ( breln1compI = $true )
    & ( binunionLsub = $true )
    & ( funcGraphProp4 = $true )
    & ( setadjoinOr = $true )
    & ( emptysetE = $true )
    & ( setext = $true )
    & ( upairset2E = $true )
    & ( subsetE2 = $true )
    & ( dpsetconstrER = $true )
    & ( doubleComplementSub2 = $true )
    & ( upairinpowunion = $true )
    & ( binintersectSubset4 = $true )
    & ( ex1I2 = $true )
    & ( demorgan1 = $true )
    & ( emptysetAx = $true )
    & ( contraSubsetComplement = $true )
    & ( notsubsetI = $true )
    & ( setminusILneg = $true )
    & ( contrasubsetT2 = $true )
    & ( setukpairIR = $true )
    & ( notdexE = $true )
    & ( setminusSubset1 = $true )
    & ( lam2lamEq = $true )
    & ( eqimpsubset2 = $true )
    & ( sepInPowerset = $true )
    & ( setadjoinSub = $true )
    & ( demorgan2b2 = $true )
    & ( woz13rule3 = $true )
    & ( setukpairinjL2 = $true )
    & ( binunionE = $true )
    & ( setminusI = $true )
    & ( woz13rule4 = $true )
    & ( cartprodmempair1 = $true )
    & ( binunionRsub = $true )
    & ( setminusERneg = $true )
    & ( complementTI1 = $true )
    & ( setukpairIL = $true )
    & ( subbreln = $true )
    & ( subsetI2 = $true )
    & ( funcext = $true )
    & ( emptyE1 = $true )
    & ( binintersectER = $true )
    & ( singletonsuniq = $true )
    & ( iftrue = $true )
    & ( dpsetconstrSub = $true )
    & ( singletoninpowunion = $true )
    & ( breln1all2 = $true )
    & ( bs114d = $true )
    & ( iffalseProp1 = $true )
    & ( binintersectLsub = $true )
    & ( eta1 = $true )
    & ( setadjoinSub2 = $true )
    & ( binintersectSubset5 = $true )
    & ( demorgan1b = $true )
    & ( setukpairinjL1 = $true )
    & ( subset2powerset = $true )
    & ( emptysetimpfalse = $true )
    & ( ksndsingleton = $true )
    & ( inComplementUnionImpInComplement1 = $true )
    & ( upairsetE = $true )
    & ( dsetconstrEL = $true )
    & ( singletoninpowerset = $true )
    & ( exu__Cong = $true )
    & ( beta1 = $true )
    & ( iffalseProp2 = $true )
    & ( notinsingleton = $true )
    & ( singletonsubset = $true )
    & ( woz13rule0 = $true )
    & ( binintersectTERcontra = $true )
    & ( dpsetconstrEL2 = $true )
    & ( complementTnotintersectT = $true )
    & ( complementTE1 = $true )
    & ( emptyI = $true )
    & ( dpsetconstrEL1 = $true )
    & ( brelnall2 = $true )
    & ( ap2p = $true )
    & ( setOfPairsIsBReln1 = $true )
    & ( setukpairinjR11 = $true )
    & ( upairsubunion = $true )
    & ( eqimpsubset1 = $true )
    & ( kfstpairEq = $true )
    & ( emptyset__Cong = $true )
    & ( woz1_3 = $true )
    & ( iftrueProp2 = $true )
    & ( demorgan2a2 = $true )
    & ( setukpairinjL = $true )
    & ( omegaIndAx = $true )
    & ( breln1compE = $true )
    & ( demorgan2a1 = $true )
    & ( demorgan2a = $true )
    & ( contrasubsetT = $true )
    & ( cartprodpairmemER = $true )
    & ( setminusLsub = $true )
    & ( beta2 = $true )
    & ( setukpairinjR1 = $true )
    & ( demorgan1a = $true )
    & ( kpairp = $true )
    & ( subPowSU = $true )
    & ( ex1E1 = $true )
    & ( complementUnionInPowersetComplement = $true )
    & ( ap2apEq2 = $true )
    & ( setadjoinAx = $true )
    & ( binintersectSubset1 = $true )
    & ( powersetTE1 = $true )
    & ( setextAx = $true )
    & ( eqbreln = $true )
    & ( symdiffI1 = $true )
    & ( setminusSubset2 = $true )
    & ( cartprodsndpairEq = $true )
    & ( iftrueorfalse = $true )
    & ( upairset2IR = $true )
    & ( theprop = $true )
    & ( doubleComplementE1 = $true )
    & ( setunionAx = $true )
    & ( cartprodsndin = $true )
    & ( binunionEcases = $true )
    & ( inIntersectImpInUnion = $true )
    & ( funcinfuncset = $true )
    & ( sepSubset = $true )
    & ( notequalI1 = $true )
    & ( setminusEL = $true )
    & ( woz13rule2 = $true )
    & ( subbreln1 = $true )
    & ( disjointsetsI1 = $true )
    & ( powersetsubset = $true )
    & ( breln1invprop = $true )
    & ( nonemptyI = $true )
    & ( complementT_lem = $true )
    & ( ex1I = $true )
    & ( setunionE = $true )
    & ( demorgan2 = $true )
    & ( replAx = $true )
    & ( doubleComplementSub1 = $true )
    & ( theeq = $true )
    & ( setminusELneg = $true )
    & ( kfstsingleton = $true )
    & ( binintersectEL = $true )
    & ( notequalI2 = $true )
    & ( setunionE2 = $true )
    & ( setadjoin__Cong = $true )
    & ( binintersectTELcontra = $true )
    & ( binunionTE = $true )
    & ( powersetI = $true )
    & ( woz1_4 = $true )
    & ( prop2setI = $true )
    & ( quantDeMorgan4 = $true )
    & ( nonemptyImpWitness = $true )
    & ( nonemptyI1 = $true )
    & ( kpairiskpair = $true )
    & ( choice2fnsingleton = $true )
    & ( ubforcartprodlem3 = $true )
    & ( subsetemptysetimpeq = $true )
    & ( setukpairinjR12 = $true )
    & ( symdiffIneg2 = $true )
    & ( funcImageSingleton = $true )
    & ( funcGraphProp2 = $true )
    & ( emptyInPowerset = $true )
    & ( setukpairinjR = $true )
    & ( powersetE = $true )
    & ( exuI1 = $true )
    & ( funcext2 = $true )
    & ( ifSingleton = $true )
    & ( emptysetsubset = $true )
    & ( setunionsingleton2 = $true )
    & ( dsetconstr__Cong = $true )
    & ( inCongP = $true )
    & ( emptyinPowerset = $true )
    & ( setadjoinIL = $true )
    & ( ap2apEq1 = $true )
    & ( binunionT_lem = $true )
    & ( binunionTIRcontra = $true )
    & ( subsetI1 = $true )
    & ( inComplementUnionImpNotIn1 = $true )
    & ( quantDeMorgan2 = $true )
    & ( setunion__Cong = $true )
    & ( ex1E2 = $true )
    & ( secondinupair = $true )
    & ( breln1compEex = $true )
    & ( dsetconstrER = $true )
    & ( noeltsimpempty = $true )
    & ( upairsetIR = $true )
    & ( prop2setE = $true )
    & ( complementTcontraSubset = $true )
    & ( doubleComplementI1 = $true )
    & ( cartprodmempaircEq = $true )
    & ( exuEu = $true )
    & ( cartprodfstpairEq = $true )
    & ( dpsetconstrERa = $true )
    & ( powersetE1 = $true )
    & ( breln1invI = $true )
    & ( descr__Cong = $true )
    & ( emptyinunitempty = $true )
    & ( funcextLem = $true )
    & ( notdallE = $true )
    & ( subsetTI = $true )
    & ( doubleComplementEq = $true )
    & ( uniqinunit = $true )
    & ( singletonsswitch = $true )
    & ( ubforcartprodlem1 = $true )
    & ( exuE2 = $true )
    & ( ubforcartprodlem2 = $true )
    & ( woz1_1 = $true )
    & ( setextT = $true )
    & ( binintersectSubset3 = $true )
    & ( setunionsingleton1 = $true )
    & ( vacuousDall = $true )
    & ( eta2 = $true )
    & ( notinemptyset = $true )
    & ( funcGraphProp3 = $true )
    & ( eqinunit = $true )
    & ( binunionIR = $true )
    & ( setadjoinIR = $true )
    & ( setextsub = $true )
    & ( ksndpairEq = $true )
    & ( lamProp = $true )
    & ( exuE3e = $true )
    & ( setOfPairsIsBReln = $true )
    & ( singletonprop = $true )
    & ( contrasubsetT3 = $true )
    & ( setbeta = $true )
    & ( symdiffIneg1 = $true )
    & ( binunionIL = $true )
    & ( exuE3u = $true )
    & ( prop2set2propI = $true )
    & ( setminusER = $true )
    & ( symdiffE = $true )
    & ( omega0Ax = $true )
    & ( $true
     != ( breln1 @ sK50 @ ( binunion @ sK49 @ sK51 ) ) )
    & ( $true
      = ( breln1 @ sK50 @ sK51 ) )
    & ( ( breln1 @ sK50 @ sK49 )
      = $true )
    & ( contrasubsetT1 = $true )
    & ( cartprodmempair = $true )
    & ( iffalse = $true )
    & ( powersetAx = $true )
    & ( inPowerset = $true )
    & ( app = $true )
    & ( binintersectT_lem = $true )
    & ( cartprodpairin = $true )
    & ( setunionI = $true )
    & ( setminusIRneg = $true )
    & ( powersetT_lem = $true )
    & ( quantDeMorgan1 = $true )
    & ( descrp = $true )
    & ( binunionTEcontra = $true )
    & ( in__Cong = $true )
    & ( binintersectI = $true )
    & ( exuI2 = $true )
    & ( upairsetIL = $true )
    & ( symdiffI2 = $true )
    & ( subsetE = $true )
    & ( inIntersectImpInIntersectUnions = $true )
    & ( subsetRefl = $true )
    & ( kpairsurjEq = $true )
    & ( complementInPowersetComplementIntersect = $true )
    & ( dpsetconstrI = $true )
    & ( binintersectRsub = $true )
    & ( demorgan2b = $true )
    & ( powersetI1 = $true )
    & ( exuE1 = $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50,sK51])],[f1108,f1400,f1399]) ).

thf(f1399,plain,
    ( ? [X0: $i,X1: $i] :
        ( ? [X2: $i] :
            ( ( $true
             != ( breln1 @ X1 @ ( binunion @ X0 @ X2 ) ) )
            & ( $true
              = ( breln1 @ X1 @ X2 ) ) )
        & ( $true
          = ( breln1 @ X1 @ X0 ) ) )
   => ( ? [X2: $i] :
          ( ( $true
           != ( breln1 @ sK50 @ ( binunion @ sK49 @ X2 ) ) )
          & ( $true
            = ( breln1 @ sK50 @ X2 ) ) )
      & ( ( breln1 @ sK50 @ sK49 )
        = $true ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f1400,plain,
    ( ? [X2: $i] :
        ( ( $true
         != ( breln1 @ sK50 @ ( binunion @ sK49 @ X2 ) ) )
        & ( $true
          = ( breln1 @ sK50 @ X2 ) ) )
   => ( ( $true
       != ( breln1 @ sK50 @ ( binunion @ sK49 @ sK51 ) ) )
      & ( $true
        = ( breln1 @ sK50 @ sK51 ) ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f1108,plain,
    ( ( lam2p = $true )
    & ( infuncsetfunc = $true )
    & ( omegaSAx = $true )
    & ( brelnall1 = $true )
    & ( omega__Cong = $true )
    & ( intersectInPowersetIntersectUnions = $true )
    & ( woz1_2 = $true )
    & ( powersetTI1 = $true )
    & ( binunionTILcontra = $true )
    & ( setminusT_lem = $true )
    & ( foundationAx = $true )
    & ( wellorderingAx = $true )
    & ( setukpairinjR2 = $true )
    & ( breln1invE = $true )
    & ( setunionsingleton = $true )
    & ( complementSubsetComplementIntersect = $true )
    & ( funcGraphProp1 = $true )
    & ( powerset__Cong = $true )
    & ( subsetTrans = $true )
    & ( eqbreln1 = $true )
    & ( setoftrueEq = $true )
    & ( cartprodfstin = $true )
    & ( complementImpComplementIntersect = $true )
    & ( nonemptyE1 = $true )
    & ( lamp = $true )
    & ( dsetconstrI = $true )
    & ( exuI3 = $true )
    & ( breln1SetBreln1 = $true )
    & ( ifp = $true )
    & ( inIntersectImpInUnion2 = $true )
    & ( apProp = $true )
    & ( breln1all1 = $true )
    & ( breln1compprop = $true )
    & ( cartprodpairsurjEq = $true )
    & ( iftrueProp1 = $true )
    & ( binintersectSubset2 = $true )
    & ( woz13rule1 = $true )
    & ( upairequniteq = $true )
    & ( woz1_5 = $true )
    & ( setadjoinE = $true )
    & ( cartprodpairmemEL = $true )
    & ( quantDeMorgan3 = $true )
    & ( breln1compI = $true )
    & ( binunionLsub = $true )
    & ( funcGraphProp4 = $true )
    & ( setadjoinOr = $true )
    & ( emptysetE = $true )
    & ( setext = $true )
    & ( upairset2E = $true )
    & ( subsetE2 = $true )
    & ( dpsetconstrER = $true )
    & ( doubleComplementSub2 = $true )
    & ( upairinpowunion = $true )
    & ( binintersectSubset4 = $true )
    & ( ex1I2 = $true )
    & ( demorgan1 = $true )
    & ( emptysetAx = $true )
    & ( contraSubsetComplement = $true )
    & ( notsubsetI = $true )
    & ( setminusILneg = $true )
    & ( contrasubsetT2 = $true )
    & ( setukpairIR = $true )
    & ( notdexE = $true )
    & ( setminusSubset1 = $true )
    & ( lam2lamEq = $true )
    & ( eqimpsubset2 = $true )
    & ( sepInPowerset = $true )
    & ( setadjoinSub = $true )
    & ( demorgan2b2 = $true )
    & ( woz13rule3 = $true )
    & ( setukpairinjL2 = $true )
    & ( binunionE = $true )
    & ( setminusI = $true )
    & ( woz13rule4 = $true )
    & ( cartprodmempair1 = $true )
    & ( binunionRsub = $true )
    & ( setminusERneg = $true )
    & ( complementTI1 = $true )
    & ( setukpairIL = $true )
    & ( subbreln = $true )
    & ( subsetI2 = $true )
    & ( funcext = $true )
    & ( emptyE1 = $true )
    & ( binintersectER = $true )
    & ( singletonsuniq = $true )
    & ( iftrue = $true )
    & ( dpsetconstrSub = $true )
    & ( singletoninpowunion = $true )
    & ( breln1all2 = $true )
    & ( bs114d = $true )
    & ( iffalseProp1 = $true )
    & ( binintersectLsub = $true )
    & ( eta1 = $true )
    & ( setadjoinSub2 = $true )
    & ( binintersectSubset5 = $true )
    & ( demorgan1b = $true )
    & ( setukpairinjL1 = $true )
    & ( subset2powerset = $true )
    & ( emptysetimpfalse = $true )
    & ( ksndsingleton = $true )
    & ( inComplementUnionImpInComplement1 = $true )
    & ( upairsetE = $true )
    & ( dsetconstrEL = $true )
    & ( singletoninpowerset = $true )
    & ( exu__Cong = $true )
    & ( beta1 = $true )
    & ( iffalseProp2 = $true )
    & ( notinsingleton = $true )
    & ( singletonsubset = $true )
    & ( woz13rule0 = $true )
    & ( binintersectTERcontra = $true )
    & ( dpsetconstrEL2 = $true )
    & ( complementTnotintersectT = $true )
    & ( complementTE1 = $true )
    & ( emptyI = $true )
    & ( dpsetconstrEL1 = $true )
    & ( brelnall2 = $true )
    & ( ap2p = $true )
    & ( setOfPairsIsBReln1 = $true )
    & ( setukpairinjR11 = $true )
    & ( upairsubunion = $true )
    & ( eqimpsubset1 = $true )
    & ( kfstpairEq = $true )
    & ( emptyset__Cong = $true )
    & ( woz1_3 = $true )
    & ( iftrueProp2 = $true )
    & ( demorgan2a2 = $true )
    & ( setukpairinjL = $true )
    & ( omegaIndAx = $true )
    & ( breln1compE = $true )
    & ( demorgan2a1 = $true )
    & ( demorgan2a = $true )
    & ( contrasubsetT = $true )
    & ( cartprodpairmemER = $true )
    & ( setminusLsub = $true )
    & ( beta2 = $true )
    & ( setukpairinjR1 = $true )
    & ( demorgan1a = $true )
    & ( kpairp = $true )
    & ( subPowSU = $true )
    & ( ex1E1 = $true )
    & ( complementUnionInPowersetComplement = $true )
    & ( ap2apEq2 = $true )
    & ( setadjoinAx = $true )
    & ( binintersectSubset1 = $true )
    & ( powersetTE1 = $true )
    & ( setextAx = $true )
    & ( eqbreln = $true )
    & ( symdiffI1 = $true )
    & ( setminusSubset2 = $true )
    & ( cartprodsndpairEq = $true )
    & ( iftrueorfalse = $true )
    & ( upairset2IR = $true )
    & ( theprop = $true )
    & ( doubleComplementE1 = $true )
    & ( setunionAx = $true )
    & ( cartprodsndin = $true )
    & ( binunionEcases = $true )
    & ( inIntersectImpInUnion = $true )
    & ( funcinfuncset = $true )
    & ( sepSubset = $true )
    & ( notequalI1 = $true )
    & ( setminusEL = $true )
    & ( woz13rule2 = $true )
    & ( subbreln1 = $true )
    & ( disjointsetsI1 = $true )
    & ( powersetsubset = $true )
    & ( breln1invprop = $true )
    & ( nonemptyI = $true )
    & ( complementT_lem = $true )
    & ( ex1I = $true )
    & ( setunionE = $true )
    & ( demorgan2 = $true )
    & ( replAx = $true )
    & ( doubleComplementSub1 = $true )
    & ( theeq = $true )
    & ( setminusELneg = $true )
    & ( kfstsingleton = $true )
    & ( binintersectEL = $true )
    & ( notequalI2 = $true )
    & ( setunionE2 = $true )
    & ( setadjoin__Cong = $true )
    & ( binintersectTELcontra = $true )
    & ( binunionTE = $true )
    & ( powersetI = $true )
    & ( woz1_4 = $true )
    & ( prop2setI = $true )
    & ( quantDeMorgan4 = $true )
    & ( nonemptyImpWitness = $true )
    & ( nonemptyI1 = $true )
    & ( kpairiskpair = $true )
    & ( choice2fnsingleton = $true )
    & ( ubforcartprodlem3 = $true )
    & ( subsetemptysetimpeq = $true )
    & ( setukpairinjR12 = $true )
    & ( symdiffIneg2 = $true )
    & ( funcImageSingleton = $true )
    & ( funcGraphProp2 = $true )
    & ( emptyInPowerset = $true )
    & ( setukpairinjR = $true )
    & ( powersetE = $true )
    & ( exuI1 = $true )
    & ( funcext2 = $true )
    & ( ifSingleton = $true )
    & ( emptysetsubset = $true )
    & ( setunionsingleton2 = $true )
    & ( dsetconstr__Cong = $true )
    & ( inCongP = $true )
    & ( emptyinPowerset = $true )
    & ( setadjoinIL = $true )
    & ( ap2apEq1 = $true )
    & ( binunionT_lem = $true )
    & ( binunionTIRcontra = $true )
    & ( subsetI1 = $true )
    & ( inComplementUnionImpNotIn1 = $true )
    & ( quantDeMorgan2 = $true )
    & ( setunion__Cong = $true )
    & ( ex1E2 = $true )
    & ( secondinupair = $true )
    & ( breln1compEex = $true )
    & ( dsetconstrER = $true )
    & ( noeltsimpempty = $true )
    & ( upairsetIR = $true )
    & ( prop2setE = $true )
    & ( complementTcontraSubset = $true )
    & ( doubleComplementI1 = $true )
    & ( cartprodmempaircEq = $true )
    & ( exuEu = $true )
    & ( cartprodfstpairEq = $true )
    & ( dpsetconstrERa = $true )
    & ( powersetE1 = $true )
    & ( breln1invI = $true )
    & ( descr__Cong = $true )
    & ( emptyinunitempty = $true )
    & ( funcextLem = $true )
    & ( notdallE = $true )
    & ( subsetTI = $true )
    & ( doubleComplementEq = $true )
    & ( uniqinunit = $true )
    & ( singletonsswitch = $true )
    & ( ubforcartprodlem1 = $true )
    & ( exuE2 = $true )
    & ( ubforcartprodlem2 = $true )
    & ( woz1_1 = $true )
    & ( setextT = $true )
    & ( binintersectSubset3 = $true )
    & ( setunionsingleton1 = $true )
    & ( vacuousDall = $true )
    & ( eta2 = $true )
    & ( notinemptyset = $true )
    & ( funcGraphProp3 = $true )
    & ( eqinunit = $true )
    & ( binunionIR = $true )
    & ( setadjoinIR = $true )
    & ( setextsub = $true )
    & ( ksndpairEq = $true )
    & ( lamProp = $true )
    & ( exuE3e = $true )
    & ( setOfPairsIsBReln = $true )
    & ( singletonprop = $true )
    & ( contrasubsetT3 = $true )
    & ( setbeta = $true )
    & ( symdiffIneg1 = $true )
    & ( binunionIL = $true )
    & ( exuE3u = $true )
    & ( prop2set2propI = $true )
    & ( setminusER = $true )
    & ( symdiffE = $true )
    & ( omega0Ax = $true )
    & ? [X0: $i,X1: $i] :
        ( ? [X2: $i] :
            ( ( $true
             != ( breln1 @ X1 @ ( binunion @ X0 @ X2 ) ) )
            & ( $true
              = ( breln1 @ X1 @ X2 ) ) )
        & ( $true
          = ( breln1 @ X1 @ X0 ) ) )
    & ( contrasubsetT1 = $true )
    & ( cartprodmempair = $true )
    & ( iffalse = $true )
    & ( powersetAx = $true )
    & ( inPowerset = $true )
    & ( app = $true )
    & ( binintersectT_lem = $true )
    & ( cartprodpairin = $true )
    & ( setunionI = $true )
    & ( setminusIRneg = $true )
    & ( powersetT_lem = $true )
    & ( quantDeMorgan1 = $true )
    & ( descrp = $true )
    & ( binunionTEcontra = $true )
    & ( in__Cong = $true )
    & ( binintersectI = $true )
    & ( exuI2 = $true )
    & ( upairsetIL = $true )
    & ( symdiffI2 = $true )
    & ( subsetE = $true )
    & ( inIntersectImpInIntersectUnions = $true )
    & ( subsetRefl = $true )
    & ( kpairsurjEq = $true )
    & ( complementInPowersetComplementIntersect = $true )
    & ( dpsetconstrI = $true )
    & ( binintersectRsub = $true )
    & ( demorgan2b = $true )
    & ( powersetI1 = $true )
    & ( exuE1 = $true ) ),
    inference(flattening,[status(thm)],[f1107]) ).

thf(f1107,plain,
    ( ? [X0: $i,X1: $i] :
        ( ? [X2: $i] :
            ( ( $true
             != ( breln1 @ X1 @ ( binunion @ X0 @ X2 ) ) )
            & ( $true
              = ( breln1 @ X1 @ X2 ) ) )
        & ( $true
          = ( breln1 @ X1 @ X0 ) ) )
    & ( breln1compEex = $true )
    & ( breln1compE = $true )
    & ( breln1compI = $true )
    & ( breln1compprop = $true )
    & ( breln1invE = $true )
    & ( breln1invI = $true )
    & ( breln1invprop = $true )
    & ( eqbreln1 = $true )
    & ( subbreln1 = $true )
    & ( breln1all1 = $true )
    & ( setOfPairsIsBReln1 = $true )
    & ( choice2fnsingleton = $true )
    & ( breln1SetBreln1 = $true )
    & ( breln1all2 = $true )
    & ( woz1_5 = $true )
    & ( woz1_4 = $true )
    & ( woz1_3 = $true )
    & ( woz1_2 = $true )
    & ( woz1_1 = $true )
    & ( woz13rule4 = $true )
    & ( woz13rule3 = $true )
    & ( woz13rule2 = $true )
    & ( woz13rule1 = $true )
    & ( woz13rule0 = $true )
    & ( demorgan2 = $true )
    & ( demorgan2b = $true )
    & ( demorgan2b2 = $true )
    & ( demorgan2a = $true )
    & ( demorgan1 = $true )
    & ( demorgan1b = $true )
    & ( demorgan1a = $true )
    & ( demorgan2a2 = $true )
    & ( complementUnionInPowersetComplement = $true )
    & ( demorgan2a1 = $true )
    & ( binunionTEcontra = $true )
    & ( binunionTE = $true )
    & ( inComplementUnionImpInComplement1 = $true )
    & ( inComplementUnionImpNotIn1 = $true )
    & ( intersectInPowersetIntersectUnions = $true )
    & ( inIntersectImpInIntersectUnions = $true )
    & ( inIntersectImpInUnion2 = $true )
    & ( inIntersectImpInUnion = $true )
    & ( binunionTIRcontra = $true )
    & ( binunionTILcontra = $true )
    & ( complementTcontraSubset = $true )
    & ( contraSubsetComplement = $true )
    & ( complementInPowersetComplementIntersect = $true )
    & ( complementSubsetComplementIntersect = $true )
    & ( complementImpComplementIntersect = $true )
    & ( complementTnotintersectT = $true )
    & ( doubleComplementEq = $true )
    & ( doubleComplementSub2 = $true )
    & ( doubleComplementSub1 = $true )
    & ( doubleComplementE1 = $true )
    & ( doubleComplementI1 = $true )
    & ( contrasubsetT3 = $true )
    & ( contrasubsetT2 = $true )
    & ( contrasubsetT1 = $true )
    & ( contrasubsetT = $true )
    & ( binintersectTERcontra = $true )
    & ( binintersectTELcontra = $true )
    & ( complementTE1 = $true )
    & ( complementTI1 = $true )
    & ( powersetTE1 = $true )
    & ( powersetTI1 = $true )
    & ( subsetTI = $true )
    & ( setextT = $true )
    & ( complementT_lem = $true )
    & ( setminusT_lem = $true )
    & ( powersetT_lem = $true )
    & ( binunionT_lem = $true )
    & ( binintersectT_lem = $true )
    & ( iftrueorfalse = $true )
    & ( iffalse = $true )
    & ( iftrue = $true )
    & ( theeq = $true )
    & ( ifp = $true )
    & ( ifSingleton = $true )
    & ( iftrueProp2 = $true )
    & ( iftrueProp1 = $true )
    & ( iffalseProp2 = $true )
    & ( iffalseProp1 = $true )
    & ( eta2 = $true )
    & ( beta2 = $true )
    & ( lam2lamEq = $true )
    & ( eta1 = $true )
    & ( beta1 = $true )
    & ( ap2apEq2 = $true )
    & ( ap2apEq1 = $true )
    & ( funcext2 = $true )
    & ( funcext = $true )
    & ( eqbreln = $true )
    & ( subbreln = $true )
    & ( funcGraphProp4 = $true )
    & ( funcextLem = $true )
    & ( funcGraphProp2 = $true )
    & ( funcGraphProp3 = $true )
    & ( funcGraphProp1 = $true )
    & ( ex1E2 = $true )
    & ( brelnall2 = $true )
    & ( brelnall1 = $true )
    & ( lam2p = $true )
    & ( lamp = $true )
    & ( lamProp = $true )
    & ( funcinfuncset = $true )
    & ( ap2p = $true )
    & ( infuncsetfunc = $true )
    & ( app = $true )
    & ( apProp = $true )
    & ( funcImageSingleton = $true )
    & ( dpsetconstrER = $true )
    & ( dpsetconstrEL2 = $true )
    & ( dpsetconstrEL1 = $true )
    & ( dpsetconstrERa = $true )
    & ( setOfPairsIsBReln = $true )
    & ( dpsetconstrSub = $true )
    & ( dpsetconstrI = $true )
    & ( cartprodpairsurjEq = $true )
    & ( cartprodsndpairEq = $true )
    & ( cartprodfstpairEq = $true )
    & ( cartprodmempaircEq = $true )
    & ( cartprodpairmemER = $true )
    & ( cartprodpairmemEL = $true )
    & ( cartprodsndin = $true )
    & ( kpairsurjEq = $true )
    & ( ksndpairEq = $true )
    & ( ksndsingleton = $true )
    & ( setukpairinjR = $true )
    & ( setukpairinjR2 = $true )
    & ( upairequniteq = $true )
    & ( setukpairinjR1 = $true )
    & ( setukpairinjR12 = $true )
    & ( setukpairinjR11 = $true )
    & ( setukpairinjL = $true )
    & ( setukpairinjL2 = $true )
    & ( cartprodfstin = $true )
    & ( kfstpairEq = $true )
    & ( theprop = $true )
    & ( kfstsingleton = $true )
    & ( setukpairinjL1 = $true )
    & ( singletonsuniq = $true )
    & ( ex1I2 = $true )
    & ( ex1I = $true )
    & ( ex1E1 = $true )
    & ( singletonprop = $true )
    & ( setunionsingleton = $true )
    & ( setunionsingleton2 = $true )
    & ( setunionsingleton1 = $true )
    & ( setunionE2 = $true )
    & ( cartprodmempair = $true )
    & ( cartprodmempair1 = $true )
    & ( cartprodpairin = $true )
    & ( ubforcartprodlem3 = $true )
    & ( ubforcartprodlem2 = $true )
    & ( ubforcartprodlem1 = $true )
    & ( upairinpowunion = $true )
    & ( upairsubunion = $true )
    & ( upairset2E = $true )
    & ( singletoninpowunion = $true )
    & ( singletoninpowerset = $true )
    & ( singletonsubset = $true )
    & ( kpairp = $true )
    & ( kpairiskpair = $true )
    & ( setukpairIR = $true )
    & ( setukpairIL = $true )
    & ( secondinupair = $true )
    & ( symdiffIneg2 = $true )
    & ( symdiffIneg1 = $true )
    & ( symdiffI2 = $true )
    & ( symdiffI1 = $true )
    & ( symdiffE = $true )
    & ( setminusSubset1 = $true )
    & ( setminusLsub = $true )
    & ( setminusIRneg = $true )
    & ( setminusILneg = $true )
    & ( setminusELneg = $true )
    & ( setminusERneg = $true )
    & ( setminusSubset2 = $true )
    & ( setminusER = $true )
    & ( setminusEL = $true )
    & ( setminusI = $true )
    & ( bs114d = $true )
    & ( binintersectSubset1 = $true )
    & ( binintersectSubset4 = $true )
    & ( binintersectRsub = $true )
    & ( disjointsetsI1 = $true )
    & ( binintersectER = $true )
    & ( binintersectSubset3 = $true )
    & ( binintersectSubset2 = $true )
    & ( binintersectLsub = $true )
    & ( binintersectEL = $true )
    & ( binintersectSubset5 = $true )
    & ( binintersectI = $true )
    & ( binunionRsub = $true )
    & ( binunionLsub = $true )
    & ( binunionE = $true )
    & ( binunionEcases = $true )
    & ( binunionIR = $true )
    & ( upairset2IR = $true )
    & ( binunionIL = $true )
    & ( sepSubset = $true )
    & ( sepInPowerset = $true )
    & ( powersetsubset = $true )
    & ( inPowerset = $true )
    & ( powersetE1 = $true )
    & ( powersetI1 = $true )
    & ( subsetemptysetimpeq = $true )
    & ( setextsub = $true )
    & ( subset2powerset = $true )
    & ( setadjoinSub2 = $true )
    & ( setadjoinSub = $true )
    & ( subsetTrans = $true )
    & ( subsetRefl = $true )
    & ( notequalI2 = $true )
    & ( notequalI1 = $true )
    & ( notsubsetI = $true )
    & ( subsetE2 = $true )
    & ( subsetE = $true )
    & ( emptysetsubset = $true )
    & ( subsetI2 = $true )
    & ( eqimpsubset1 = $true )
    & ( eqimpsubset2 = $true )
    & ( subsetI1 = $true )
    & ( dsetconstr__Cong = $true )
    & ( descr__Cong = $true )
    & ( exuEu = $true )
    & ( omega__Cong = $true )
    & ( setunion__Cong = $true )
    & ( powerset__Cong = $true )
    & ( setadjoin__Cong = $true )
    & ( emptyset__Cong = $true )
    & ( exu__Cong = $true )
    & ( exuE3u = $true )
    & ( in__Cong = $true )
    & ( inCongP = $true )
    & ( exuI2 = $true )
    & ( exuI3 = $true )
    & ( exuI1 = $true )
    & ( notdallE = $true )
    & ( notdexE = $true )
    & ( prop2set2propI = $true )
    & ( prop2setI = $true )
    & ( quantDeMorgan4 = $true )
    & ( quantDeMorgan3 = $true )
    & ( quantDeMorgan2 = $true )
    & ( quantDeMorgan1 = $true )
    & ( vacuousDall = $true )
    & ( emptyE1 = $true )
    & ( upairsetIR = $true )
    & ( upairsetIL = $true )
    & ( upairsetE = $true )
    & ( singletonsswitch = $true )
    & ( eqinunit = $true )
    & ( notinsingleton = $true )
    & ( uniqinunit = $true )
    & ( nonemptyImpWitness = $true )
    & ( exuE2 = $true )
    & ( subPowSU = $true )
    & ( setunionE = $true )
    & ( setunionI = $true )
    & ( powersetE = $true )
    & ( emptyInPowerset = $true )
    & ( emptyinPowerset = $true )
    & ( powersetI = $true )
    & ( setoftrueEq = $true )
    & ( setadjoinOr = $true )
    & ( setadjoinE = $true )
    & ( setadjoinIR = $true )
    & ( emptyinunitempty = $true )
    & ( setadjoinIL = $true )
    & ( nonemptyI1 = $true )
    & ( nonemptyI = $true )
    & ( nonemptyE1 = $true )
    & ( setbeta = $true )
    & ( noeltsimpempty = $true )
    & ( emptyI = $true )
    & ( setext = $true )
    & ( exuE3e = $true )
    & ( notinemptyset = $true )
    & ( emptysetimpfalse = $true )
    & ( emptysetE = $true )
    & ( prop2setE = $true )
    & ( exuE1 = $true )
    & ( dsetconstrER = $true )
    & ( dsetconstrEL = $true )
    & ( dsetconstrI = $true )
    & ( descrp = $true )
    & ( wellorderingAx = $true )
    & ( foundationAx = $true )
    & ( replAx = $true )
    & ( omegaIndAx = $true )
    & ( omegaSAx = $true )
    & ( omega0Ax = $true )
    & ( setunionAx = $true )
    & ( powersetAx = $true )
    & ( setadjoinAx = $true )
    & ( emptysetAx = $true )
    & ( setextAx = $true ) ),
    inference(ennf_transformation,[status(thm)],[f786]) ).

thf(f786,plain,
    ~ ( ( setextAx = $true )
     => ( ( emptysetAx = $true )
       => ( ( setadjoinAx = $true )
         => ( ( powersetAx = $true )
           => ( ( setunionAx = $true )
             => ( ( omega0Ax = $true )
               => ( ( omegaSAx = $true )
                 => ( ( omegaIndAx = $true )
                   => ( ( replAx = $true )
                     => ( ( foundationAx = $true )
                       => ( ( wellorderingAx = $true )
                         => ( ( descrp = $true )
                           => ( ( dsetconstrI = $true )
                             => ( ( dsetconstrEL = $true )
                               => ( ( dsetconstrER = $true )
                                 => ( ( exuE1 = $true )
                                   => ( ( prop2setE = $true )
                                     => ( ( emptysetE = $true )
                                       => ( ( emptysetimpfalse = $true )
                                         => ( ( notinemptyset = $true )
                                           => ( ( exuE3e = $true )
                                             => ( ( setext = $true )
                                               => ( ( emptyI = $true )
                                                 => ( ( noeltsimpempty = $true )
                                                   => ( ( setbeta = $true )
                                                     => ( ( nonemptyE1 = $true )
                                                       => ( ( nonemptyI = $true )
                                                         => ( ( nonemptyI1 = $true )
                                                           => ( ( setadjoinIL = $true )
                                                             => ( ( emptyinunitempty = $true )
                                                               => ( ( setadjoinIR = $true )
                                                                 => ( ( setadjoinE = $true )
                                                                   => ( ( setadjoinOr = $true )
                                                                     => ( ( setoftrueEq = $true )
                                                                       => ( ( powersetI = $true )
                                                                         => ( ( emptyinPowerset = $true )
                                                                           => ( ( emptyInPowerset = $true )
                                                                             => ( ( powersetE = $true )
                                                                               => ( ( setunionI = $true )
                                                                                 => ( ( setunionE = $true )
                                                                                   => ( ( subPowSU = $true )
                                                                                     => ( ( exuE2 = $true )
                                                                                       => ( ( nonemptyImpWitness = $true )
                                                                                         => ( ( uniqinunit = $true )
                                                                                           => ( ( notinsingleton = $true )
                                                                                             => ( ( eqinunit = $true )
                                                                                               => ( ( singletonsswitch = $true )
                                                                                                 => ( ( upairsetE = $true )
                                                                                                   => ( ( upairsetIL = $true )
                                                                                                     => ( ( upairsetIR = $true )
                                                                                                       => ( ( emptyE1 = $true )
                                                                                                         => ( ( vacuousDall = $true )
                                                                                                           => ( ( quantDeMorgan1 = $true )
                                                                                                             => ( ( quantDeMorgan2 = $true )
                                                                                                               => ( ( quantDeMorgan3 = $true )
                                                                                                                 => ( ( quantDeMorgan4 = $true )
                                                                                                                   => ( ( prop2setI = $true )
                                                                                                                     => ( ( prop2set2propI = $true )
                                                                                                                       => ( ( notdexE = $true )
                                                                                                                         => ( ( notdallE = $true )
                                                                                                                           => ( ( exuI1 = $true )
                                                                                                                             => ( ( exuI3 = $true )
                                                                                                                               => ( ( exuI2 = $true )
                                                                                                                                 => ( ( inCongP = $true )
                                                                                                                                   => ( ( in__Cong = $true )
                                                                                                                                     => ( ( exuE3u = $true )
                                                                                                                                       => ( ( exu__Cong = $true )
                                                                                                                                         => ( ( emptyset__Cong = $true )
                                                                                                                                           => ( ( setadjoin__Cong = $true )
                                                                                                                                             => ( ( powerset__Cong = $true )
                                                                                                                                               => ( ( setunion__Cong = $true )
                                                                                                                                                 => ( ( omega__Cong = $true )
                                                                                                                                                   => ( ( exuEu = $true )
                                                                                                                                                     => ( ( descr__Cong = $true )
                                                                                                                                                       => ( ( dsetconstr__Cong = $true )
                                                                                                                                                         => ( ( subsetI1 = $true )
                                                                                                                                                           => ( ( eqimpsubset2 = $true )
                                                                                                                                                             => ( ( eqimpsubset1 = $true )
                                                                                                                                                               => ( ( subsetI2 = $true )
                                                                                                                                                                 => ( ( emptysetsubset = $true )
                                                                                                                                                                   => ( ( subsetE = $true )
                                                                                                                                                                     => ( ( subsetE2 = $true )
                                                                                                                                                                       => ( ( notsubsetI = $true )
                                                                                                                                                                         => ( ( notequalI1 = $true )
                                                                                                                                                                           => ( ( notequalI2 = $true )
                                                                                                                                                                             => ( ( subsetRefl = $true )
                                                                                                                                                                               => ( ( subsetTrans = $true )
                                                                                                                                                                                 => ( ( setadjoinSub = $true )
                                                                                                                                                                                   => ( ( setadjoinSub2 = $true )
                                                                                                                                                                                     => ( ( subset2powerset = $true )
                                                                                                                                                                                       => ( ( setextsub = $true )
                                                                                                                                                                                         => ( ( subsetemptysetimpeq = $true )
                                                                                                                                                                                           => ( ( powersetI1 = $true )
                                                                                                                                                                                             => ( ( powersetE1 = $true )
                                                                                                                                                                                               => ( ( inPowerset = $true )
                                                                                                                                                                                                 => ( ( powersetsubset = $true )
                                                                                                                                                                                                   => ( ( sepInPowerset = $true )
                                                                                                                                                                                                     => ( ( sepSubset = $true )
                                                                                                                                                                                                       => ( ( binunionIL = $true )
                                                                                                                                                                                                         => ( ( upairset2IR = $true )
                                                                                                                                                                                                           => ( ( binunionIR = $true )
                                                                                                                                                                                                             => ( ( binunionEcases = $true )
                                                                                                                                                                                                               => ( ( binunionE = $true )
                                                                                                                                                                                                                 => ( ( binunionLsub = $true )
                                                                                                                                                                                                                   => ( ( binunionRsub = $true )
                                                                                                                                                                                                                     => ( ( binintersectI = $true )
                                                                                                                                                                                                                       => ( ( binintersectSubset5 = $true )
                                                                                                                                                                                                                         => ( ( binintersectEL = $true )
                                                                                                                                                                                                                           => ( ( binintersectLsub = $true )
                                                                                                                                                                                                                             => ( ( binintersectSubset2 = $true )
                                                                                                                                                                                                                               => ( ( binintersectSubset3 = $true )
                                                                                                                                                                                                                                 => ( ( binintersectER = $true )
                                                                                                                                                                                                                                   => ( ( disjointsetsI1 = $true )
                                                                                                                                                                                                                                     => ( ( binintersectRsub = $true )
                                                                                                                                                                                                                                       => ( ( binintersectSubset4 = $true )
                                                                                                                                                                                                                                         => ( ( binintersectSubset1 = $true )
                                                                                                                                                                                                                                           => ( ( bs114d = $true )
                                                                                                                                                                                                                                             => ( ( setminusI = $true )
                                                                                                                                                                                                                                               => ( ( setminusEL = $true )
                                                                                                                                                                                                                                                 => ( ( setminusER = $true )
                                                                                                                                                                                                                                                   => ( ( setminusSubset2 = $true )
                                                                                                                                                                                                                                                     => ( ( setminusERneg = $true )
                                                                                                                                                                                                                                                       => ( ( setminusELneg = $true )
                                                                                                                                                                                                                                                         => ( ( setminusILneg = $true )
                                                                                                                                                                                                                                                           => ( ( setminusIRneg = $true )
                                                                                                                                                                                                                                                             => ( ( setminusLsub = $true )
                                                                                                                                                                                                                                                               => ( ( setminusSubset1 = $true )
                                                                                                                                                                                                                                                                 => ( ( symdiffE = $true )
                                                                                                                                                                                                                                                                   => ( ( symdiffI1 = $true )
                                                                                                                                                                                                                                                                     => ( ( symdiffI2 = $true )
                                                                                                                                                                                                                                                                       => ( ( symdiffIneg1 = $true )
                                                                                                                                                                                                                                                                         => ( ( symdiffIneg2 = $true )
                                                                                                                                                                                                                                                                           => ( ( secondinupair = $true )
                                                                                                                                                                                                                                                                             => ( ( setukpairIL = $true )
                                                                                                                                                                                                                                                                               => ( ( setukpairIR = $true )
                                                                                                                                                                                                                                                                                 => ( ( kpairiskpair = $true )
                                                                                                                                                                                                                                                                                   => ( ( kpairp = $true )
                                                                                                                                                                                                                                                                                     => ( ( singletonsubset = $true )
                                                                                                                                                                                                                                                                                       => ( ( singletoninpowerset = $true )
                                                                                                                                                                                                                                                                                         => ( ( singletoninpowunion = $true )
                                                                                                                                                                                                                                                                                           => ( ( upairset2E = $true )
                                                                                                                                                                                                                                                                                             => ( ( upairsubunion = $true )
                                                                                                                                                                                                                                                                                               => ( ( upairinpowunion = $true )
                                                                                                                                                                                                                                                                                                 => ( ( ubforcartprodlem1 = $true )
                                                                                                                                                                                                                                                                                                   => ( ( ubforcartprodlem2 = $true )
                                                                                                                                                                                                                                                                                                     => ( ( ubforcartprodlem3 = $true )
                                                                                                                                                                                                                                                                                                       => ( ( cartprodpairin = $true )
                                                                                                                                                                                                                                                                                                         => ( ( cartprodmempair1 = $true )
                                                                                                                                                                                                                                                                                                           => ( ( cartprodmempair = $true )
                                                                                                                                                                                                                                                                                                             => ( ( setunionE2 = $true )
                                                                                                                                                                                                                                                                                                               => ( ( setunionsingleton1 = $true )
                                                                                                                                                                                                                                                                                                                 => ( ( setunionsingleton2 = $true )
                                                                                                                                                                                                                                                                                                                   => ( ( setunionsingleton = $true )
                                                                                                                                                                                                                                                                                                                     => ( ( singletonprop = $true )
                                                                                                                                                                                                                                                                                                                       => ( ( ex1E1 = $true )
                                                                                                                                                                                                                                                                                                                         => ( ( ex1I = $true )
                                                                                                                                                                                                                                                                                                                           => ( ( ex1I2 = $true )
                                                                                                                                                                                                                                                                                                                             => ( ( singletonsuniq = $true )
                                                                                                                                                                                                                                                                                                                               => ( ( setukpairinjL1 = $true )
                                                                                                                                                                                                                                                                                                                                 => ( ( kfstsingleton = $true )
                                                                                                                                                                                                                                                                                                                                   => ( ( theprop = $true )
                                                                                                                                                                                                                                                                                                                                     => ( ( kfstpairEq = $true )
                                                                                                                                                                                                                                                                                                                                       => ( ( cartprodfstin = $true )
                                                                                                                                                                                                                                                                                                                                         => ( ( setukpairinjL2 = $true )
                                                                                                                                                                                                                                                                                                                                           => ( ( setukpairinjL = $true )
                                                                                                                                                                                                                                                                                                                                             => ( ( setukpairinjR11 = $true )
                                                                                                                                                                                                                                                                                                                                               => ( ( setukpairinjR12 = $true )
                                                                                                                                                                                                                                                                                                                                                 => ( ( setukpairinjR1 = $true )
                                                                                                                                                                                                                                                                                                                                                   => ( ( upairequniteq = $true )
                                                                                                                                                                                                                                                                                                                                                     => ( ( setukpairinjR2 = $true )
                                                                                                                                                                                                                                                                                                                                                       => ( ( setukpairinjR = $true )
                                                                                                                                                                                                                                                                                                                                                         => ( ( ksndsingleton = $true )
                                                                                                                                                                                                                                                                                                                                                           => ( ( ksndpairEq = $true )
                                                                                                                                                                                                                                                                                                                                                             => ( ( kpairsurjEq = $true )
                                                                                                                                                                                                                                                                                                                                                               => ( ( cartprodsndin = $true )
                                                                                                                                                                                                                                                                                                                                                                 => ( ( cartprodpairmemEL = $true )
                                                                                                                                                                                                                                                                                                                                                                   => ( ( cartprodpairmemER = $true )
                                                                                                                                                                                                                                                                                                                                                                     => ( ( cartprodmempaircEq = $true )
                                                                                                                                                                                                                                                                                                                                                                       => ( ( cartprodfstpairEq = $true )
                                                                                                                                                                                                                                                                                                                                                                         => ( ( cartprodsndpairEq = $true )
                                                                                                                                                                                                                                                                                                                                                                           => ( ( cartprodpairsurjEq = $true )
                                                                                                                                                                                                                                                                                                                                                                             => ( ( dpsetconstrI = $true )
                                                                                                                                                                                                                                                                                                                                                                               => ( ( dpsetconstrSub = $true )
                                                                                                                                                                                                                                                                                                                                                                                 => ( ( setOfPairsIsBReln = $true )
                                                                                                                                                                                                                                                                                                                                                                                   => ( ( dpsetconstrERa = $true )
                                                                                                                                                                                                                                                                                                                                                                                     => ( ( dpsetconstrEL1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                       => ( ( dpsetconstrEL2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                         => ( ( dpsetconstrER = $true )
                                                                                                                                                                                                                                                                                                                                                                                           => ( ( funcImageSingleton = $true )
                                                                                                                                                                                                                                                                                                                                                                                             => ( ( apProp = $true )
                                                                                                                                                                                                                                                                                                                                                                                               => ( ( app = $true )
                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( infuncsetfunc = $true )
                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( ap2p = $true )
                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( funcinfuncset = $true )
                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( lamProp = $true )
                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( lamp = $true )
                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( lam2p = $true )
                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( brelnall1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( brelnall2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( ex1E2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( funcGraphProp1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( funcGraphProp3 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( funcGraphProp2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( funcextLem = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( funcGraphProp4 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( subbreln = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( eqbreln = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( funcext = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( funcext2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( ap2apEq1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( ap2apEq2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( beta1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( eta1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( lam2lamEq = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( beta2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( eta2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( iffalseProp1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( iffalseProp2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( iftrueProp1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( iftrueProp2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( ifSingleton = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( ifp = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( theeq = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( iftrue = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( iffalse = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( iftrueorfalse = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( binintersectT_lem = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( binunionT_lem = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( powersetT_lem = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( setminusT_lem = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( complementT_lem = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( setextT = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( subsetTI = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( powersetTI1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( powersetTE1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( complementTI1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( complementTE1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( binintersectTELcontra = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( binintersectTERcontra = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( contrasubsetT = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( contrasubsetT1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( contrasubsetT2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( contrasubsetT3 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( doubleComplementI1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( doubleComplementE1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( doubleComplementSub1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( doubleComplementSub2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( doubleComplementEq = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( complementTnotintersectT = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( complementImpComplementIntersect = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( complementSubsetComplementIntersect = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( complementInPowersetComplementIntersect = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( contraSubsetComplement = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( complementTcontraSubset = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( binunionTILcontra = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( binunionTIRcontra = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( inIntersectImpInUnion = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( inIntersectImpInUnion2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( inIntersectImpInIntersectUnions = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( intersectInPowersetIntersectUnions = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( inComplementUnionImpNotIn1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( inComplementUnionImpInComplement1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( binunionTE = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( binunionTEcontra = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( demorgan2a1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( complementUnionInPowersetComplement = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( demorgan2a2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( demorgan1a = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( demorgan1b = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( demorgan1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( demorgan2a = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( demorgan2b2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( demorgan2b = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( demorgan2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( woz13rule0 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( woz13rule1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( woz13rule2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( woz13rule3 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( woz13rule4 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( woz1_1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( woz1_2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( woz1_3 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( woz1_4 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( woz1_5 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( breln1all2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( breln1SetBreln1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( choice2fnsingleton = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( setOfPairsIsBReln1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( breln1all1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( subbreln1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( eqbreln1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( breln1invprop = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( breln1invI = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( breln1invE = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( breln1compprop = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( breln1compI = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( breln1compE = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( breln1compEex = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ! [X0: $i,X1: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ( ( $true
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              = ( breln1 @ X1 @ X0 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ! [X2: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ( ( $true
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  = ( breln1 @ X1 @ X2 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( $true
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  = ( breln1 @ X1 @ ( binunion @ X0 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[status(thm)],[f785]) ).

thf(f785,plain,
    ~ ( setextAx
     => ( emptysetAx
       => ( setadjoinAx
         => ( powersetAx
           => ( setunionAx
             => ( omega0Ax
               => ( omegaSAx
                 => ( omegaIndAx
                   => ( replAx
                     => ( foundationAx
                       => ( wellorderingAx
                         => ( descrp
                           => ( dsetconstrI
                             => ( dsetconstrEL
                               => ( dsetconstrER
                                 => ( exuE1
                                   => ( prop2setE
                                     => ( emptysetE
                                       => ( emptysetimpfalse
                                         => ( notinemptyset
                                           => ( exuE3e
                                             => ( setext
                                               => ( emptyI
                                                 => ( noeltsimpempty
                                                   => ( setbeta
                                                     => ( nonemptyE1
                                                       => ( nonemptyI
                                                         => ( nonemptyI1
                                                           => ( setadjoinIL
                                                             => ( emptyinunitempty
                                                               => ( setadjoinIR
                                                                 => ( setadjoinE
                                                                   => ( setadjoinOr
                                                                     => ( setoftrueEq
                                                                       => ( powersetI
                                                                         => ( emptyinPowerset
                                                                           => ( emptyInPowerset
                                                                             => ( powersetE
                                                                               => ( setunionI
                                                                                 => ( setunionE
                                                                                   => ( subPowSU
                                                                                     => ( exuE2
                                                                                       => ( nonemptyImpWitness
                                                                                         => ( uniqinunit
                                                                                           => ( notinsingleton
                                                                                             => ( eqinunit
                                                                                               => ( singletonsswitch
                                                                                                 => ( upairsetE
                                                                                                   => ( upairsetIL
                                                                                                     => ( upairsetIR
                                                                                                       => ( emptyE1
                                                                                                         => ( vacuousDall
                                                                                                           => ( quantDeMorgan1
                                                                                                             => ( quantDeMorgan2
                                                                                                               => ( quantDeMorgan3
                                                                                                                 => ( quantDeMorgan4
                                                                                                                   => ( prop2setI
                                                                                                                     => ( prop2set2propI
                                                                                                                       => ( notdexE
                                                                                                                         => ( notdallE
                                                                                                                           => ( exuI1
                                                                                                                             => ( exuI3
                                                                                                                               => ( exuI2
                                                                                                                                 => ( inCongP
                                                                                                                                   => ( in__Cong
                                                                                                                                     => ( exuE3u
                                                                                                                                       => ( exu__Cong
                                                                                                                                         => ( emptyset__Cong
                                                                                                                                           => ( setadjoin__Cong
                                                                                                                                             => ( powerset__Cong
                                                                                                                                               => ( setunion__Cong
                                                                                                                                                 => ( omega__Cong
                                                                                                                                                   => ( exuEu
                                                                                                                                                     => ( descr__Cong
                                                                                                                                                       => ( dsetconstr__Cong
                                                                                                                                                         => ( subsetI1
                                                                                                                                                           => ( eqimpsubset2
                                                                                                                                                             => ( eqimpsubset1
                                                                                                                                                               => ( subsetI2
                                                                                                                                                                 => ( emptysetsubset
                                                                                                                                                                   => ( subsetE
                                                                                                                                                                     => ( subsetE2
                                                                                                                                                                       => ( notsubsetI
                                                                                                                                                                         => ( notequalI1
                                                                                                                                                                           => ( notequalI2
                                                                                                                                                                             => ( subsetRefl
                                                                                                                                                                               => ( subsetTrans
                                                                                                                                                                                 => ( setadjoinSub
                                                                                                                                                                                   => ( setadjoinSub2
                                                                                                                                                                                     => ( subset2powerset
                                                                                                                                                                                       => ( setextsub
                                                                                                                                                                                         => ( subsetemptysetimpeq
                                                                                                                                                                                           => ( powersetI1
                                                                                                                                                                                             => ( powersetE1
                                                                                                                                                                                               => ( inPowerset
                                                                                                                                                                                                 => ( powersetsubset
                                                                                                                                                                                                   => ( sepInPowerset
                                                                                                                                                                                                     => ( sepSubset
                                                                                                                                                                                                       => ( binunionIL
                                                                                                                                                                                                         => ( upairset2IR
                                                                                                                                                                                                           => ( binunionIR
                                                                                                                                                                                                             => ( binunionEcases
                                                                                                                                                                                                               => ( binunionE
                                                                                                                                                                                                                 => ( binunionLsub
                                                                                                                                                                                                                   => ( binunionRsub
                                                                                                                                                                                                                     => ( binintersectI
                                                                                                                                                                                                                       => ( binintersectSubset5
                                                                                                                                                                                                                         => ( binintersectEL
                                                                                                                                                                                                                           => ( binintersectLsub
                                                                                                                                                                                                                             => ( binintersectSubset2
                                                                                                                                                                                                                               => ( binintersectSubset3
                                                                                                                                                                                                                                 => ( binintersectER
                                                                                                                                                                                                                                   => ( disjointsetsI1
                                                                                                                                                                                                                                     => ( binintersectRsub
                                                                                                                                                                                                                                       => ( binintersectSubset4
                                                                                                                                                                                                                                         => ( binintersectSubset1
                                                                                                                                                                                                                                           => ( bs114d
                                                                                                                                                                                                                                             => ( setminusI
                                                                                                                                                                                                                                               => ( setminusEL
                                                                                                                                                                                                                                                 => ( setminusER
                                                                                                                                                                                                                                                   => ( setminusSubset2
                                                                                                                                                                                                                                                     => ( setminusERneg
                                                                                                                                                                                                                                                       => ( setminusELneg
                                                                                                                                                                                                                                                         => ( setminusILneg
                                                                                                                                                                                                                                                           => ( setminusIRneg
                                                                                                                                                                                                                                                             => ( setminusLsub
                                                                                                                                                                                                                                                               => ( setminusSubset1
                                                                                                                                                                                                                                                                 => ( symdiffE
                                                                                                                                                                                                                                                                   => ( symdiffI1
                                                                                                                                                                                                                                                                     => ( symdiffI2
                                                                                                                                                                                                                                                                       => ( symdiffIneg1
                                                                                                                                                                                                                                                                         => ( symdiffIneg2
                                                                                                                                                                                                                                                                           => ( secondinupair
                                                                                                                                                                                                                                                                             => ( setukpairIL
                                                                                                                                                                                                                                                                               => ( setukpairIR
                                                                                                                                                                                                                                                                                 => ( kpairiskpair
                                                                                                                                                                                                                                                                                   => ( kpairp
                                                                                                                                                                                                                                                                                     => ( singletonsubset
                                                                                                                                                                                                                                                                                       => ( singletoninpowerset
                                                                                                                                                                                                                                                                                         => ( singletoninpowunion
                                                                                                                                                                                                                                                                                           => ( upairset2E
                                                                                                                                                                                                                                                                                             => ( upairsubunion
                                                                                                                                                                                                                                                                                               => ( upairinpowunion
                                                                                                                                                                                                                                                                                                 => ( ubforcartprodlem1
                                                                                                                                                                                                                                                                                                   => ( ubforcartprodlem2
                                                                                                                                                                                                                                                                                                     => ( ubforcartprodlem3
                                                                                                                                                                                                                                                                                                       => ( cartprodpairin
                                                                                                                                                                                                                                                                                                         => ( cartprodmempair1
                                                                                                                                                                                                                                                                                                           => ( cartprodmempair
                                                                                                                                                                                                                                                                                                             => ( setunionE2
                                                                                                                                                                                                                                                                                                               => ( setunionsingleton1
                                                                                                                                                                                                                                                                                                                 => ( setunionsingleton2
                                                                                                                                                                                                                                                                                                                   => ( setunionsingleton
                                                                                                                                                                                                                                                                                                                     => ( singletonprop
                                                                                                                                                                                                                                                                                                                       => ( ex1E1
                                                                                                                                                                                                                                                                                                                         => ( ex1I
                                                                                                                                                                                                                                                                                                                           => ( ex1I2
                                                                                                                                                                                                                                                                                                                             => ( singletonsuniq
                                                                                                                                                                                                                                                                                                                               => ( setukpairinjL1
                                                                                                                                                                                                                                                                                                                                 => ( kfstsingleton
                                                                                                                                                                                                                                                                                                                                   => ( theprop
                                                                                                                                                                                                                                                                                                                                     => ( kfstpairEq
                                                                                                                                                                                                                                                                                                                                       => ( cartprodfstin
                                                                                                                                                                                                                                                                                                                                         => ( setukpairinjL2
                                                                                                                                                                                                                                                                                                                                           => ( setukpairinjL
                                                                                                                                                                                                                                                                                                                                             => ( setukpairinjR11
                                                                                                                                                                                                                                                                                                                                               => ( setukpairinjR12
                                                                                                                                                                                                                                                                                                                                                 => ( setukpairinjR1
                                                                                                                                                                                                                                                                                                                                                   => ( upairequniteq
                                                                                                                                                                                                                                                                                                                                                     => ( setukpairinjR2
                                                                                                                                                                                                                                                                                                                                                       => ( setukpairinjR
                                                                                                                                                                                                                                                                                                                                                         => ( ksndsingleton
                                                                                                                                                                                                                                                                                                                                                           => ( ksndpairEq
                                                                                                                                                                                                                                                                                                                                                             => ( kpairsurjEq
                                                                                                                                                                                                                                                                                                                                                               => ( cartprodsndin
                                                                                                                                                                                                                                                                                                                                                                 => ( cartprodpairmemEL
                                                                                                                                                                                                                                                                                                                                                                   => ( cartprodpairmemER
                                                                                                                                                                                                                                                                                                                                                                     => ( cartprodmempaircEq
                                                                                                                                                                                                                                                                                                                                                                       => ( cartprodfstpairEq
                                                                                                                                                                                                                                                                                                                                                                         => ( cartprodsndpairEq
                                                                                                                                                                                                                                                                                                                                                                           => ( cartprodpairsurjEq
                                                                                                                                                                                                                                                                                                                                                                             => ( dpsetconstrI
                                                                                                                                                                                                                                                                                                                                                                               => ( dpsetconstrSub
                                                                                                                                                                                                                                                                                                                                                                                 => ( setOfPairsIsBReln
                                                                                                                                                                                                                                                                                                                                                                                   => ( dpsetconstrERa
                                                                                                                                                                                                                                                                                                                                                                                     => ( dpsetconstrEL1
                                                                                                                                                                                                                                                                                                                                                                                       => ( dpsetconstrEL2
                                                                                                                                                                                                                                                                                                                                                                                         => ( dpsetconstrER
                                                                                                                                                                                                                                                                                                                                                                                           => ( funcImageSingleton
                                                                                                                                                                                                                                                                                                                                                                                             => ( apProp
                                                                                                                                                                                                                                                                                                                                                                                               => ( app
                                                                                                                                                                                                                                                                                                                                                                                                 => ( infuncsetfunc
                                                                                                                                                                                                                                                                                                                                                                                                   => ( ap2p
                                                                                                                                                                                                                                                                                                                                                                                                     => ( funcinfuncset
                                                                                                                                                                                                                                                                                                                                                                                                       => ( lamProp
                                                                                                                                                                                                                                                                                                                                                                                                         => ( lamp
                                                                                                                                                                                                                                                                                                                                                                                                           => ( lam2p
                                                                                                                                                                                                                                                                                                                                                                                                             => ( brelnall1
                                                                                                                                                                                                                                                                                                                                                                                                               => ( brelnall2
                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ex1E2
                                                                                                                                                                                                                                                                                                                                                                                                                   => ( funcGraphProp1
                                                                                                                                                                                                                                                                                                                                                                                                                     => ( funcGraphProp3
                                                                                                                                                                                                                                                                                                                                                                                                                       => ( funcGraphProp2
                                                                                                                                                                                                                                                                                                                                                                                                                         => ( funcextLem
                                                                                                                                                                                                                                                                                                                                                                                                                           => ( funcGraphProp4
                                                                                                                                                                                                                                                                                                                                                                                                                             => ( subbreln
                                                                                                                                                                                                                                                                                                                                                                                                                               => ( eqbreln
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( funcext
                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( funcext2
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ap2apEq1
                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ap2apEq2
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( beta1
                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( eta1
                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( lam2lamEq
                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( beta2
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( eta2
                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( iffalseProp1
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( iffalseProp2
                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( iftrueProp1
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( iftrueProp2
                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ifSingleton
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ifp
                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( theeq
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( iftrue
                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( iffalse
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( iftrueorfalse
                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( binintersectT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( binunionT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( powersetT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( setminusT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( complementT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( setextT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( subsetTI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( powersetTI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( powersetTE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( complementTI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( complementTE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( binintersectTELcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binintersectTERcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( contrasubsetT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( contrasubsetT1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( contrasubsetT2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( contrasubsetT3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( doubleComplementI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( doubleComplementE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( doubleComplementSub1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( doubleComplementSub2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( doubleComplementEq
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( complementTnotintersectT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( complementImpComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( complementSubsetComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( complementInPowersetComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( contraSubsetComplement
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( complementTcontraSubset
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binunionTILcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( binunionTIRcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( inIntersectImpInUnion
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( inIntersectImpInUnion2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( inIntersectImpInIntersectUnions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( intersectInPowersetIntersectUnions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( inComplementUnionImpNotIn1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( inComplementUnionImpInComplement1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binunionTE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( binunionTEcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( demorgan2a1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( complementUnionInPowersetComplement
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( demorgan2a2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( demorgan1a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( demorgan1b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( demorgan1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( demorgan2a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( demorgan2b2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( demorgan2b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( demorgan2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz13rule0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz13rule1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( woz13rule2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( woz13rule3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( woz13rule4
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( woz1_1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( woz1_2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( woz1_3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz1_4
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz1_5
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1all2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1SetBreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( choice2fnsingleton
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( setOfPairsIsBReln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1all1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( subbreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( eqbreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( breln1invprop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1invI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1invE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( breln1compprop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( breln1compI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1compE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( breln1compEex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ! [X0: $i,X1: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ( ( breln1 @ X1 @ X0 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ! [X2: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ( ( breln1 @ X1 @ X2 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( breln1 @ X1 @ ( binunion @ X0 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[status(thm)],[f304]) ).

thf(f304,negated_conjecture,
    ~ ( setextAx
     => ( emptysetAx
       => ( setadjoinAx
         => ( powersetAx
           => ( setunionAx
             => ( omega0Ax
               => ( omegaSAx
                 => ( omegaIndAx
                   => ( replAx
                     => ( foundationAx
                       => ( wellorderingAx
                         => ( descrp
                           => ( dsetconstrI
                             => ( dsetconstrEL
                               => ( dsetconstrER
                                 => ( exuE1
                                   => ( prop2setE
                                     => ( emptysetE
                                       => ( emptysetimpfalse
                                         => ( notinemptyset
                                           => ( exuE3e
                                             => ( setext
                                               => ( emptyI
                                                 => ( noeltsimpempty
                                                   => ( setbeta
                                                     => ( nonemptyE1
                                                       => ( nonemptyI
                                                         => ( nonemptyI1
                                                           => ( setadjoinIL
                                                             => ( emptyinunitempty
                                                               => ( setadjoinIR
                                                                 => ( setadjoinE
                                                                   => ( setadjoinOr
                                                                     => ( setoftrueEq
                                                                       => ( powersetI
                                                                         => ( emptyinPowerset
                                                                           => ( emptyInPowerset
                                                                             => ( powersetE
                                                                               => ( setunionI
                                                                                 => ( setunionE
                                                                                   => ( subPowSU
                                                                                     => ( exuE2
                                                                                       => ( nonemptyImpWitness
                                                                                         => ( uniqinunit
                                                                                           => ( notinsingleton
                                                                                             => ( eqinunit
                                                                                               => ( singletonsswitch
                                                                                                 => ( upairsetE
                                                                                                   => ( upairsetIL
                                                                                                     => ( upairsetIR
                                                                                                       => ( emptyE1
                                                                                                         => ( vacuousDall
                                                                                                           => ( quantDeMorgan1
                                                                                                             => ( quantDeMorgan2
                                                                                                               => ( quantDeMorgan3
                                                                                                                 => ( quantDeMorgan4
                                                                                                                   => ( prop2setI
                                                                                                                     => ( prop2set2propI
                                                                                                                       => ( notdexE
                                                                                                                         => ( notdallE
                                                                                                                           => ( exuI1
                                                                                                                             => ( exuI3
                                                                                                                               => ( exuI2
                                                                                                                                 => ( inCongP
                                                                                                                                   => ( in__Cong
                                                                                                                                     => ( exuE3u
                                                                                                                                       => ( exu__Cong
                                                                                                                                         => ( emptyset__Cong
                                                                                                                                           => ( setadjoin__Cong
                                                                                                                                             => ( powerset__Cong
                                                                                                                                               => ( setunion__Cong
                                                                                                                                                 => ( omega__Cong
                                                                                                                                                   => ( exuEu
                                                                                                                                                     => ( descr__Cong
                                                                                                                                                       => ( dsetconstr__Cong
                                                                                                                                                         => ( subsetI1
                                                                                                                                                           => ( eqimpsubset2
                                                                                                                                                             => ( eqimpsubset1
                                                                                                                                                               => ( subsetI2
                                                                                                                                                                 => ( emptysetsubset
                                                                                                                                                                   => ( subsetE
                                                                                                                                                                     => ( subsetE2
                                                                                                                                                                       => ( notsubsetI
                                                                                                                                                                         => ( notequalI1
                                                                                                                                                                           => ( notequalI2
                                                                                                                                                                             => ( subsetRefl
                                                                                                                                                                               => ( subsetTrans
                                                                                                                                                                                 => ( setadjoinSub
                                                                                                                                                                                   => ( setadjoinSub2
                                                                                                                                                                                     => ( subset2powerset
                                                                                                                                                                                       => ( setextsub
                                                                                                                                                                                         => ( subsetemptysetimpeq
                                                                                                                                                                                           => ( powersetI1
                                                                                                                                                                                             => ( powersetE1
                                                                                                                                                                                               => ( inPowerset
                                                                                                                                                                                                 => ( powersetsubset
                                                                                                                                                                                                   => ( sepInPowerset
                                                                                                                                                                                                     => ( sepSubset
                                                                                                                                                                                                       => ( binunionIL
                                                                                                                                                                                                         => ( upairset2IR
                                                                                                                                                                                                           => ( binunionIR
                                                                                                                                                                                                             => ( binunionEcases
                                                                                                                                                                                                               => ( binunionE
                                                                                                                                                                                                                 => ( binunionLsub
                                                                                                                                                                                                                   => ( binunionRsub
                                                                                                                                                                                                                     => ( binintersectI
                                                                                                                                                                                                                       => ( binintersectSubset5
                                                                                                                                                                                                                         => ( binintersectEL
                                                                                                                                                                                                                           => ( binintersectLsub
                                                                                                                                                                                                                             => ( binintersectSubset2
                                                                                                                                                                                                                               => ( binintersectSubset3
                                                                                                                                                                                                                                 => ( binintersectER
                                                                                                                                                                                                                                   => ( disjointsetsI1
                                                                                                                                                                                                                                     => ( binintersectRsub
                                                                                                                                                                                                                                       => ( binintersectSubset4
                                                                                                                                                                                                                                         => ( binintersectSubset1
                                                                                                                                                                                                                                           => ( bs114d
                                                                                                                                                                                                                                             => ( setminusI
                                                                                                                                                                                                                                               => ( setminusEL
                                                                                                                                                                                                                                                 => ( setminusER
                                                                                                                                                                                                                                                   => ( setminusSubset2
                                                                                                                                                                                                                                                     => ( setminusERneg
                                                                                                                                                                                                                                                       => ( setminusELneg
                                                                                                                                                                                                                                                         => ( setminusILneg
                                                                                                                                                                                                                                                           => ( setminusIRneg
                                                                                                                                                                                                                                                             => ( setminusLsub
                                                                                                                                                                                                                                                               => ( setminusSubset1
                                                                                                                                                                                                                                                                 => ( symdiffE
                                                                                                                                                                                                                                                                   => ( symdiffI1
                                                                                                                                                                                                                                                                     => ( symdiffI2
                                                                                                                                                                                                                                                                       => ( symdiffIneg1
                                                                                                                                                                                                                                                                         => ( symdiffIneg2
                                                                                                                                                                                                                                                                           => ( secondinupair
                                                                                                                                                                                                                                                                             => ( setukpairIL
                                                                                                                                                                                                                                                                               => ( setukpairIR
                                                                                                                                                                                                                                                                                 => ( kpairiskpair
                                                                                                                                                                                                                                                                                   => ( kpairp
                                                                                                                                                                                                                                                                                     => ( singletonsubset
                                                                                                                                                                                                                                                                                       => ( singletoninpowerset
                                                                                                                                                                                                                                                                                         => ( singletoninpowunion
                                                                                                                                                                                                                                                                                           => ( upairset2E
                                                                                                                                                                                                                                                                                             => ( upairsubunion
                                                                                                                                                                                                                                                                                               => ( upairinpowunion
                                                                                                                                                                                                                                                                                                 => ( ubforcartprodlem1
                                                                                                                                                                                                                                                                                                   => ( ubforcartprodlem2
                                                                                                                                                                                                                                                                                                     => ( ubforcartprodlem3
                                                                                                                                                                                                                                                                                                       => ( cartprodpairin
                                                                                                                                                                                                                                                                                                         => ( cartprodmempair1
                                                                                                                                                                                                                                                                                                           => ( cartprodmempair
                                                                                                                                                                                                                                                                                                             => ( setunionE2
                                                                                                                                                                                                                                                                                                               => ( setunionsingleton1
                                                                                                                                                                                                                                                                                                                 => ( setunionsingleton2
                                                                                                                                                                                                                                                                                                                   => ( setunionsingleton
                                                                                                                                                                                                                                                                                                                     => ( singletonprop
                                                                                                                                                                                                                                                                                                                       => ( ex1E1
                                                                                                                                                                                                                                                                                                                         => ( ex1I
                                                                                                                                                                                                                                                                                                                           => ( ex1I2
                                                                                                                                                                                                                                                                                                                             => ( singletonsuniq
                                                                                                                                                                                                                                                                                                                               => ( setukpairinjL1
                                                                                                                                                                                                                                                                                                                                 => ( kfstsingleton
                                                                                                                                                                                                                                                                                                                                   => ( theprop
                                                                                                                                                                                                                                                                                                                                     => ( kfstpairEq
                                                                                                                                                                                                                                                                                                                                       => ( cartprodfstin
                                                                                                                                                                                                                                                                                                                                         => ( setukpairinjL2
                                                                                                                                                                                                                                                                                                                                           => ( setukpairinjL
                                                                                                                                                                                                                                                                                                                                             => ( setukpairinjR11
                                                                                                                                                                                                                                                                                                                                               => ( setukpairinjR12
                                                                                                                                                                                                                                                                                                                                                 => ( setukpairinjR1
                                                                                                                                                                                                                                                                                                                                                   => ( upairequniteq
                                                                                                                                                                                                                                                                                                                                                     => ( setukpairinjR2
                                                                                                                                                                                                                                                                                                                                                       => ( setukpairinjR
                                                                                                                                                                                                                                                                                                                                                         => ( ksndsingleton
                                                                                                                                                                                                                                                                                                                                                           => ( ksndpairEq
                                                                                                                                                                                                                                                                                                                                                             => ( kpairsurjEq
                                                                                                                                                                                                                                                                                                                                                               => ( cartprodsndin
                                                                                                                                                                                                                                                                                                                                                                 => ( cartprodpairmemEL
                                                                                                                                                                                                                                                                                                                                                                   => ( cartprodpairmemER
                                                                                                                                                                                                                                                                                                                                                                     => ( cartprodmempaircEq
                                                                                                                                                                                                                                                                                                                                                                       => ( cartprodfstpairEq
                                                                                                                                                                                                                                                                                                                                                                         => ( cartprodsndpairEq
                                                                                                                                                                                                                                                                                                                                                                           => ( cartprodpairsurjEq
                                                                                                                                                                                                                                                                                                                                                                             => ( dpsetconstrI
                                                                                                                                                                                                                                                                                                                                                                               => ( dpsetconstrSub
                                                                                                                                                                                                                                                                                                                                                                                 => ( setOfPairsIsBReln
                                                                                                                                                                                                                                                                                                                                                                                   => ( dpsetconstrERa
                                                                                                                                                                                                                                                                                                                                                                                     => ( dpsetconstrEL1
                                                                                                                                                                                                                                                                                                                                                                                       => ( dpsetconstrEL2
                                                                                                                                                                                                                                                                                                                                                                                         => ( dpsetconstrER
                                                                                                                                                                                                                                                                                                                                                                                           => ( funcImageSingleton
                                                                                                                                                                                                                                                                                                                                                                                             => ( apProp
                                                                                                                                                                                                                                                                                                                                                                                               => ( app
                                                                                                                                                                                                                                                                                                                                                                                                 => ( infuncsetfunc
                                                                                                                                                                                                                                                                                                                                                                                                   => ( ap2p
                                                                                                                                                                                                                                                                                                                                                                                                     => ( funcinfuncset
                                                                                                                                                                                                                                                                                                                                                                                                       => ( lamProp
                                                                                                                                                                                                                                                                                                                                                                                                         => ( lamp
                                                                                                                                                                                                                                                                                                                                                                                                           => ( lam2p
                                                                                                                                                                                                                                                                                                                                                                                                             => ( brelnall1
                                                                                                                                                                                                                                                                                                                                                                                                               => ( brelnall2
                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ex1E2
                                                                                                                                                                                                                                                                                                                                                                                                                   => ( funcGraphProp1
                                                                                                                                                                                                                                                                                                                                                                                                                     => ( funcGraphProp3
                                                                                                                                                                                                                                                                                                                                                                                                                       => ( funcGraphProp2
                                                                                                                                                                                                                                                                                                                                                                                                                         => ( funcextLem
                                                                                                                                                                                                                                                                                                                                                                                                                           => ( funcGraphProp4
                                                                                                                                                                                                                                                                                                                                                                                                                             => ( subbreln
                                                                                                                                                                                                                                                                                                                                                                                                                               => ( eqbreln
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( funcext
                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( funcext2
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ap2apEq1
                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ap2apEq2
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( beta1
                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( eta1
                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( lam2lamEq
                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( beta2
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( eta2
                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( iffalseProp1
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( iffalseProp2
                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( iftrueProp1
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( iftrueProp2
                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ifSingleton
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ifp
                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( theeq
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( iftrue
                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( iffalse
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( iftrueorfalse
                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( binintersectT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( binunionT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( powersetT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( setminusT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( complementT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( setextT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( subsetTI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( powersetTI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( powersetTE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( complementTI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( complementTE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( binintersectTELcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binintersectTERcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( contrasubsetT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( contrasubsetT1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( contrasubsetT2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( contrasubsetT3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( doubleComplementI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( doubleComplementE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( doubleComplementSub1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( doubleComplementSub2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( doubleComplementEq
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( complementTnotintersectT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( complementImpComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( complementSubsetComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( complementInPowersetComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( contraSubsetComplement
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( complementTcontraSubset
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binunionTILcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( binunionTIRcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( inIntersectImpInUnion
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( inIntersectImpInUnion2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( inIntersectImpInIntersectUnions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( intersectInPowersetIntersectUnions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( inComplementUnionImpNotIn1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( inComplementUnionImpInComplement1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binunionTE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( binunionTEcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( demorgan2a1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( complementUnionInPowersetComplement
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( demorgan2a2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( demorgan1a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( demorgan1b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( demorgan1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( demorgan2a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( demorgan2b2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( demorgan2b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( demorgan2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz13rule0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz13rule1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( woz13rule2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( woz13rule3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( woz13rule4
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( woz1_1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( woz1_2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( woz1_3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz1_4
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz1_5
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1all2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1SetBreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( choice2fnsingleton
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( setOfPairsIsBReln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1all1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( subbreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( eqbreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( breln1invprop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1invI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1invE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( breln1compprop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( breln1compI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1compE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( breln1compEex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ! [X13: $i,X3: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ( ( breln1 @ X3 @ X13 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ! [X15: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ( ( breln1 @ X3 @ X15 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( breln1 @ X3 @ ( binunion @ X13 @ X15 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f303]) ).

thf(f303,conjecture,
    ( setextAx
   => ( emptysetAx
     => ( setadjoinAx
       => ( powersetAx
         => ( setunionAx
           => ( omega0Ax
             => ( omegaSAx
               => ( omegaIndAx
                 => ( replAx
                   => ( foundationAx
                     => ( wellorderingAx
                       => ( descrp
                         => ( dsetconstrI
                           => ( dsetconstrEL
                             => ( dsetconstrER
                               => ( exuE1
                                 => ( prop2setE
                                   => ( emptysetE
                                     => ( emptysetimpfalse
                                       => ( notinemptyset
                                         => ( exuE3e
                                           => ( setext
                                             => ( emptyI
                                               => ( noeltsimpempty
                                                 => ( setbeta
                                                   => ( nonemptyE1
                                                     => ( nonemptyI
                                                       => ( nonemptyI1
                                                         => ( setadjoinIL
                                                           => ( emptyinunitempty
                                                             => ( setadjoinIR
                                                               => ( setadjoinE
                                                                 => ( setadjoinOr
                                                                   => ( setoftrueEq
                                                                     => ( powersetI
                                                                       => ( emptyinPowerset
                                                                         => ( emptyInPowerset
                                                                           => ( powersetE
                                                                             => ( setunionI
                                                                               => ( setunionE
                                                                                 => ( subPowSU
                                                                                   => ( exuE2
                                                                                     => ( nonemptyImpWitness
                                                                                       => ( uniqinunit
                                                                                         => ( notinsingleton
                                                                                           => ( eqinunit
                                                                                             => ( singletonsswitch
                                                                                               => ( upairsetE
                                                                                                 => ( upairsetIL
                                                                                                   => ( upairsetIR
                                                                                                     => ( emptyE1
                                                                                                       => ( vacuousDall
                                                                                                         => ( quantDeMorgan1
                                                                                                           => ( quantDeMorgan2
                                                                                                             => ( quantDeMorgan3
                                                                                                               => ( quantDeMorgan4
                                                                                                                 => ( prop2setI
                                                                                                                   => ( prop2set2propI
                                                                                                                     => ( notdexE
                                                                                                                       => ( notdallE
                                                                                                                         => ( exuI1
                                                                                                                           => ( exuI3
                                                                                                                             => ( exuI2
                                                                                                                               => ( inCongP
                                                                                                                                 => ( in__Cong
                                                                                                                                   => ( exuE3u
                                                                                                                                     => ( exu__Cong
                                                                                                                                       => ( emptyset__Cong
                                                                                                                                         => ( setadjoin__Cong
                                                                                                                                           => ( powerset__Cong
                                                                                                                                             => ( setunion__Cong
                                                                                                                                               => ( omega__Cong
                                                                                                                                                 => ( exuEu
                                                                                                                                                   => ( descr__Cong
                                                                                                                                                     => ( dsetconstr__Cong
                                                                                                                                                       => ( subsetI1
                                                                                                                                                         => ( eqimpsubset2
                                                                                                                                                           => ( eqimpsubset1
                                                                                                                                                             => ( subsetI2
                                                                                                                                                               => ( emptysetsubset
                                                                                                                                                                 => ( subsetE
                                                                                                                                                                   => ( subsetE2
                                                                                                                                                                     => ( notsubsetI
                                                                                                                                                                       => ( notequalI1
                                                                                                                                                                         => ( notequalI2
                                                                                                                                                                           => ( subsetRefl
                                                                                                                                                                             => ( subsetTrans
                                                                                                                                                                               => ( setadjoinSub
                                                                                                                                                                                 => ( setadjoinSub2
                                                                                                                                                                                   => ( subset2powerset
                                                                                                                                                                                     => ( setextsub
                                                                                                                                                                                       => ( subsetemptysetimpeq
                                                                                                                                                                                         => ( powersetI1
                                                                                                                                                                                           => ( powersetE1
                                                                                                                                                                                             => ( inPowerset
                                                                                                                                                                                               => ( powersetsubset
                                                                                                                                                                                                 => ( sepInPowerset
                                                                                                                                                                                                   => ( sepSubset
                                                                                                                                                                                                     => ( binunionIL
                                                                                                                                                                                                       => ( upairset2IR
                                                                                                                                                                                                         => ( binunionIR
                                                                                                                                                                                                           => ( binunionEcases
                                                                                                                                                                                                             => ( binunionE
                                                                                                                                                                                                               => ( binunionLsub
                                                                                                                                                                                                                 => ( binunionRsub
                                                                                                                                                                                                                   => ( binintersectI
                                                                                                                                                                                                                     => ( binintersectSubset5
                                                                                                                                                                                                                       => ( binintersectEL
                                                                                                                                                                                                                         => ( binintersectLsub
                                                                                                                                                                                                                           => ( binintersectSubset2
                                                                                                                                                                                                                             => ( binintersectSubset3
                                                                                                                                                                                                                               => ( binintersectER
                                                                                                                                                                                                                                 => ( disjointsetsI1
                                                                                                                                                                                                                                   => ( binintersectRsub
                                                                                                                                                                                                                                     => ( binintersectSubset4
                                                                                                                                                                                                                                       => ( binintersectSubset1
                                                                                                                                                                                                                                         => ( bs114d
                                                                                                                                                                                                                                           => ( setminusI
                                                                                                                                                                                                                                             => ( setminusEL
                                                                                                                                                                                                                                               => ( setminusER
                                                                                                                                                                                                                                                 => ( setminusSubset2
                                                                                                                                                                                                                                                   => ( setminusERneg
                                                                                                                                                                                                                                                     => ( setminusELneg
                                                                                                                                                                                                                                                       => ( setminusILneg
                                                                                                                                                                                                                                                         => ( setminusIRneg
                                                                                                                                                                                                                                                           => ( setminusLsub
                                                                                                                                                                                                                                                             => ( setminusSubset1
                                                                                                                                                                                                                                                               => ( symdiffE
                                                                                                                                                                                                                                                                 => ( symdiffI1
                                                                                                                                                                                                                                                                   => ( symdiffI2
                                                                                                                                                                                                                                                                     => ( symdiffIneg1
                                                                                                                                                                                                                                                                       => ( symdiffIneg2
                                                                                                                                                                                                                                                                         => ( secondinupair
                                                                                                                                                                                                                                                                           => ( setukpairIL
                                                                                                                                                                                                                                                                             => ( setukpairIR
                                                                                                                                                                                                                                                                               => ( kpairiskpair
                                                                                                                                                                                                                                                                                 => ( kpairp
                                                                                                                                                                                                                                                                                   => ( singletonsubset
                                                                                                                                                                                                                                                                                     => ( singletoninpowerset
                                                                                                                                                                                                                                                                                       => ( singletoninpowunion
                                                                                                                                                                                                                                                                                         => ( upairset2E
                                                                                                                                                                                                                                                                                           => ( upairsubunion
                                                                                                                                                                                                                                                                                             => ( upairinpowunion
                                                                                                                                                                                                                                                                                               => ( ubforcartprodlem1
                                                                                                                                                                                                                                                                                                 => ( ubforcartprodlem2
                                                                                                                                                                                                                                                                                                   => ( ubforcartprodlem3
                                                                                                                                                                                                                                                                                                     => ( cartprodpairin
                                                                                                                                                                                                                                                                                                       => ( cartprodmempair1
                                                                                                                                                                                                                                                                                                         => ( cartprodmempair
                                                                                                                                                                                                                                                                                                           => ( setunionE2
                                                                                                                                                                                                                                                                                                             => ( setunionsingleton1
                                                                                                                                                                                                                                                                                                               => ( setunionsingleton2
                                                                                                                                                                                                                                                                                                                 => ( setunionsingleton
                                                                                                                                                                                                                                                                                                                   => ( singletonprop
                                                                                                                                                                                                                                                                                                                     => ( ex1E1
                                                                                                                                                                                                                                                                                                                       => ( ex1I
                                                                                                                                                                                                                                                                                                                         => ( ex1I2
                                                                                                                                                                                                                                                                                                                           => ( singletonsuniq
                                                                                                                                                                                                                                                                                                                             => ( setukpairinjL1
                                                                                                                                                                                                                                                                                                                               => ( kfstsingleton
                                                                                                                                                                                                                                                                                                                                 => ( theprop
                                                                                                                                                                                                                                                                                                                                   => ( kfstpairEq
                                                                                                                                                                                                                                                                                                                                     => ( cartprodfstin
                                                                                                                                                                                                                                                                                                                                       => ( setukpairinjL2
                                                                                                                                                                                                                                                                                                                                         => ( setukpairinjL
                                                                                                                                                                                                                                                                                                                                           => ( setukpairinjR11
                                                                                                                                                                                                                                                                                                                                             => ( setukpairinjR12
                                                                                                                                                                                                                                                                                                                                               => ( setukpairinjR1
                                                                                                                                                                                                                                                                                                                                                 => ( upairequniteq
                                                                                                                                                                                                                                                                                                                                                   => ( setukpairinjR2
                                                                                                                                                                                                                                                                                                                                                     => ( setukpairinjR
                                                                                                                                                                                                                                                                                                                                                       => ( ksndsingleton
                                                                                                                                                                                                                                                                                                                                                         => ( ksndpairEq
                                                                                                                                                                                                                                                                                                                                                           => ( kpairsurjEq
                                                                                                                                                                                                                                                                                                                                                             => ( cartprodsndin
                                                                                                                                                                                                                                                                                                                                                               => ( cartprodpairmemEL
                                                                                                                                                                                                                                                                                                                                                                 => ( cartprodpairmemER
                                                                                                                                                                                                                                                                                                                                                                   => ( cartprodmempaircEq
                                                                                                                                                                                                                                                                                                                                                                     => ( cartprodfstpairEq
                                                                                                                                                                                                                                                                                                                                                                       => ( cartprodsndpairEq
                                                                                                                                                                                                                                                                                                                                                                         => ( cartprodpairsurjEq
                                                                                                                                                                                                                                                                                                                                                                           => ( dpsetconstrI
                                                                                                                                                                                                                                                                                                                                                                             => ( dpsetconstrSub
                                                                                                                                                                                                                                                                                                                                                                               => ( setOfPairsIsBReln
                                                                                                                                                                                                                                                                                                                                                                                 => ( dpsetconstrERa
                                                                                                                                                                                                                                                                                                                                                                                   => ( dpsetconstrEL1
                                                                                                                                                                                                                                                                                                                                                                                     => ( dpsetconstrEL2
                                                                                                                                                                                                                                                                                                                                                                                       => ( dpsetconstrER
                                                                                                                                                                                                                                                                                                                                                                                         => ( funcImageSingleton
                                                                                                                                                                                                                                                                                                                                                                                           => ( apProp
                                                                                                                                                                                                                                                                                                                                                                                             => ( app
                                                                                                                                                                                                                                                                                                                                                                                               => ( infuncsetfunc
                                                                                                                                                                                                                                                                                                                                                                                                 => ( ap2p
                                                                                                                                                                                                                                                                                                                                                                                                   => ( funcinfuncset
                                                                                                                                                                                                                                                                                                                                                                                                     => ( lamProp
                                                                                                                                                                                                                                                                                                                                                                                                       => ( lamp
                                                                                                                                                                                                                                                                                                                                                                                                         => ( lam2p
                                                                                                                                                                                                                                                                                                                                                                                                           => ( brelnall1
                                                                                                                                                                                                                                                                                                                                                                                                             => ( brelnall2
                                                                                                                                                                                                                                                                                                                                                                                                               => ( ex1E2
                                                                                                                                                                                                                                                                                                                                                                                                                 => ( funcGraphProp1
                                                                                                                                                                                                                                                                                                                                                                                                                   => ( funcGraphProp3
                                                                                                                                                                                                                                                                                                                                                                                                                     => ( funcGraphProp2
                                                                                                                                                                                                                                                                                                                                                                                                                       => ( funcextLem
                                                                                                                                                                                                                                                                                                                                                                                                                         => ( funcGraphProp4
                                                                                                                                                                                                                                                                                                                                                                                                                           => ( subbreln
                                                                                                                                                                                                                                                                                                                                                                                                                             => ( eqbreln
                                                                                                                                                                                                                                                                                                                                                                                                                               => ( funcext
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( funcext2
                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ap2apEq1
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ap2apEq2
                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( beta1
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( eta1
                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( lam2lamEq
                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( beta2
                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( eta2
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( iffalseProp1
                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( iffalseProp2
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( iftrueProp1
                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( iftrueProp2
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ifSingleton
                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ifp
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( theeq
                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( iftrue
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( iffalse
                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( iftrueorfalse
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( binintersectT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( binunionT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( powersetT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( setminusT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( complementT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( setextT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( subsetTI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( powersetTI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( powersetTE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( complementTI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( complementTE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( binintersectTELcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( binintersectTERcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( contrasubsetT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( contrasubsetT1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( contrasubsetT2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( contrasubsetT3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( doubleComplementI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( doubleComplementE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( doubleComplementSub1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( doubleComplementSub2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( doubleComplementEq
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( complementTnotintersectT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( complementImpComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( complementSubsetComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( complementInPowersetComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( contraSubsetComplement
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( complementTcontraSubset
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( binunionTILcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binunionTIRcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( inIntersectImpInUnion
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( inIntersectImpInUnion2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( inIntersectImpInIntersectUnions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( intersectInPowersetIntersectUnions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( inComplementUnionImpNotIn1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( inComplementUnionImpInComplement1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( binunionTE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binunionTEcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( demorgan2a1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( complementUnionInPowersetComplement
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( demorgan2a2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( demorgan1a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( demorgan1b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( demorgan1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( demorgan2a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( demorgan2b2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( demorgan2b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( demorgan2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( woz13rule0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz13rule1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz13rule2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( woz13rule3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( woz13rule4
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( woz1_1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( woz1_2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( woz1_3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( woz1_4
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz1_5
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( breln1all2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1SetBreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( choice2fnsingleton
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( setOfPairsIsBReln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( breln1all1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( subbreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( eqbreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( breln1invprop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( breln1invI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1invE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1compprop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( breln1compI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( breln1compE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1compEex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ! [X13: $i,X3: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ( ( breln1 @ X3 @ X13 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ! [X15: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ( ( breln1 @ X3 @ X15 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1 @ X3 @ ( binunion @ X13 @ X15 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gExcApT4FL/DTF2THF_29531.p',breln1unionprop) ).

thf(f3524,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( subset @ X1 @ X0 ) )
      | ( ( binintersect @ X0 @ X1 )
       != X1 )
      | ( binintersectSubset3 != $true ) ),
    inference(cnf_transformation,[status(thm)],[f1781]) ).

thf(f1781,plain,
    ( ( ! [X0: $i,X1: $i] :
          ( ( $true
            = ( subset @ X1 @ X0 ) )
          | ( ( binintersect @ X0 @ X1 )
           != X1 ) )
      | ( binintersectSubset3 != $true ) )
    & ( ( binintersectSubset3 = $true )
      | ( ( $true
         != ( subset @ sK290 @ sK289 ) )
        & ( ( binintersect @ sK289 @ sK290 )
          = sK290 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK289,sK290])],[f1779,f1780]) ).

thf(f1780,plain,
    ( ? [X2: $i,X3: $i] :
        ( ( $true
         != ( subset @ X3 @ X2 ) )
        & ( ( binintersect @ X2 @ X3 )
          = X3 ) )
   => ( ( $true
       != ( subset @ sK290 @ sK289 ) )
      & ( ( binintersect @ sK289 @ sK290 )
        = sK290 ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f1779,plain,
    ( ( ! [X0: $i,X1: $i] :
          ( ( $true
            = ( subset @ X1 @ X0 ) )
          | ( ( binintersect @ X0 @ X1 )
           != X1 ) )
      | ( binintersectSubset3 != $true ) )
    & ( ( binintersectSubset3 = $true )
      | ? [X2: $i,X3: $i] :
          ( ( $true
           != ( subset @ X3 @ X2 ) )
          & ( ( binintersect @ X2 @ X3 )
            = X3 ) ) ) ),
    inference(rectify,[status(thm)],[f1778]) ).

thf(f1778,plain,
    ( ( ! [X0: $i,X1: $i] :
          ( ( $true
            = ( subset @ X1 @ X0 ) )
          | ( ( binintersect @ X0 @ X1 )
           != X1 ) )
      | ( binintersectSubset3 != $true ) )
    & ( ( binintersectSubset3 = $true )
      | ? [X0: $i,X1: $i] :
          ( ( $true
           != ( subset @ X1 @ X0 ) )
          & ( ( binintersect @ X0 @ X1 )
            = X1 ) ) ) ),
    inference(nnf_transformation,[status(thm)],[f1307]) ).

thf(f1307,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( subset @ X1 @ X0 ) )
        | ( ( binintersect @ X0 @ X1 )
         != X1 ) )
  <=> ( binintersectSubset3 = $true ) ),
    inference(ennf_transformation,[status(thm)],[f461]) ).

thf(f461,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( binintersect @ X0 @ X1 )
          = X1 )
       => ( $true
          = ( subset @ X1 @ X0 ) ) )
  <=> ( binintersectSubset3 = $true ) ),
    inference(fool_elimination,[status(thm)],[f460]) ).

thf(f460,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( ( binintersect @ X0 @ X1 )
          = X1 )
       => ( subset @ X1 @ X0 ) )
      = binintersectSubset3 ),
    inference(rectify,[status(thm)],[f113]) ).

thf(f113,axiom,
    ! [X3: $i,X4: $i] :
      ( ( ( ( binintersect @ X3 @ X4 )
          = X4 )
       => ( subset @ X4 @ X3 ) )
      = binintersectSubset3 ),
    file('/export/starexec/sandbox/tmp/tmp.gExcApT4FL/DTF2THF_29531.p',binintersectSubset3) ).

thf(f8515,plain,
    ( $true
    = ( sP1054 @ ( subset @ ( binunion @ sK49 @ sK51 ) @ ( cartprod @ sK50 @ sK50 ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f5831]) ).

thf(f5831,plain,
    ( $true
    = ( sP1054
      @ ( ^ [Y0: $i,Y1: $i] :
            ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( subset @ Y4 @ ( cartprod @ Y2 @ Y3 ) )
            @ Y0
            @ Y0
            @ Y1 )
        @ sK50
        @ ( binunion @ sK49 @ sK51 ) ) ) ),
    inference(inequality_splitting,[status(thm)],[f4544,f5830]) ).

thf(f4544,plain,
    ( $true
   != ( ^ [Y0: $i,Y1: $i] :
          ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( subset @ Y4 @ ( cartprod @ Y2 @ Y3 ) )
          @ Y0
          @ Y0
          @ Y1 )
      @ sK50
      @ ( binunion @ sK49 @ sK51 ) ) ),
    inference(definition_unfolding,[status(thm)],[f2931,f4508]) ).

thf(f4508,plain,
    ( breln1
    = ( ^ [Y0: $i,Y1: $i] :
          ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( subset @ Y4 @ ( cartprod @ Y2 @ Y3 ) )
          @ Y0
          @ Y0
          @ Y1 ) ) ),
    inference(definition_unfolding,[status(thm)],[f3630,f3731]) ).

thf(f3731,plain,
    ( breln
    = ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f816]) ).

thf(f816,plain,
    ( breln
    = ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[status(thm)],[f815]) ).

thf(f815,plain,
    ( breln
    = ( ^ [X0: $i,X1: $i,X2: $i] : ( subset @ X2 @ ( cartprod @ X0 @ X1 ) ) ) ),
    inference(rectify,[status(thm)],[f184]) ).

thf(f184,axiom,
    ( breln
    = ( ^ [X3: $i,X4: $i,X5: $i] : ( subset @ X5 @ ( cartprod @ X3 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gExcApT4FL/DTF2THF_29531.p',breln) ).

thf(f3630,plain,
    ( breln1
    = ( ^ [Y0: $i,Y1: $i] : ( breln @ Y0 @ Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[status(thm)],[f524]) ).

thf(f524,plain,
    ( breln1
    = ( ^ [Y0: $i,Y1: $i] : ( breln @ Y0 @ Y0 @ Y1 ) ) ),
    inference(fool_elimination,[status(thm)],[f523]) ).

thf(f523,plain,
    ( ( ^ [X0: $i,X1: $i] : ( breln @ X0 @ X0 @ X1 ) )
    = breln1 ),
    inference(rectify,[status(thm)],[f288]) ).

thf(f288,axiom,
    ( ( ^ [X3: $i,X13: $i] : ( breln @ X3 @ X3 @ X13 ) )
    = breln1 ),
    file('/export/starexec/sandbox/tmp/tmp.gExcApT4FL/DTF2THF_29531.p',breln1) ).

thf(f2931,plain,
    ( $true
   != ( breln1 @ sK50 @ ( binunion @ sK49 @ sK51 ) ) ),
    inference(cnf_transformation,[status(thm)],[f1401]) ).

thf(f64655,plain,
    ( ( ( binintersect @ ( cartprod @ sK50 @ sK50 ) @ ( binunion @ sK49 @ sK51 ) )
      = ( binunion @ sK49 @ sK51 ) )
    | ~ spl2630_231
    | ~ spl2630_311 ),
    inference(superposition,[status(thm)],[f53631,f50681]) ).

thf(f50681,plain,
    ( ( sK49
      = ( binintersect @ ( cartprod @ sK50 @ sK50 ) @ sK49 ) )
    | ~ spl2630_231 ),
    inference(trivial_inequality_removal,[status(thm)],[f50680]) ).

thf(f50680,plain,
    ( ( sK49
      = ( binintersect @ ( cartprod @ sK50 @ sK50 ) @ sK49 ) )
    | ( $true = $false )
    | ~ spl2630_231 ),
    inference(forward_demodulation,[status(thm)],[f50673,f6543]) ).

thf(f6543,plain,
    ( $false
    = ( sP1520 @ $true ) ),
    introduced(definition,[new_symbols(naming,[sP1520])],[inequality_splitting_name_introduction]) ).

thf(f50673,plain,
    ( ( $true
      = ( sP1520 @ $true ) )
    | ( sK49
      = ( binintersect @ ( cartprod @ sK50 @ sK50 ) @ sK49 ) )
    | ~ spl2630_231 ),
    inference(superposition,[status(thm)],[f9543,f8412]) ).

thf(f8412,plain,
    ( $true
    = ( subset @ sK49 @ ( cartprod @ sK50 @ sK50 ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f4546]) ).

thf(f4546,plain,
    ( $true
    = ( ^ [Y0: $i,Y1: $i] :
          ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( subset @ Y4 @ ( cartprod @ Y2 @ Y3 ) )
          @ Y0
          @ Y0
          @ Y1 )
      @ sK50
      @ sK49 ) ),
    inference(definition_unfolding,[status(thm)],[f2929,f4508]) ).

thf(f2929,plain,
    ( ( breln1 @ sK50 @ sK49 )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f1401]) ).

thf(f9543,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( sP1520 @ ( subset @ X1 @ X0 ) ) )
        | ( ( binintersect @ X0 @ X1 )
          = X1 ) )
    | ~ spl2630_231 ),
    inference(avatar_component_clause,[status(thm)],[f9542]) ).

thf(f9542,definition,
    ( spl2630_231
  <=> ! [X0: $i,X1: $i] :
        ( ( ( binintersect @ X0 @ X1 )
          = X1 )
        | ( $true
          = ( sP1520 @ ( subset @ X1 @ X0 ) ) ) ) ),
    introduced(definition,[new_symbols(naming,[spl2630_231])],[avatar_definition]) ).

thf(f53631,plain,
    ( ! [X0: $i] :
        ( ( binunion @ ( binintersect @ ( cartprod @ sK50 @ sK50 ) @ X0 ) @ sK51 )
        = ( binintersect @ ( cartprod @ sK50 @ sK50 ) @ ( binunion @ X0 @ sK51 ) ) )
    | ~ spl2630_231
    | ~ spl2630_311 ),
    inference(superposition,[status(thm)],[f9879,f50694]) ).

thf(f50694,plain,
    ( ( ( binintersect @ ( cartprod @ sK50 @ sK50 ) @ sK51 )
      = sK51 )
    | ~ spl2630_231 ),
    inference(trivial_inequality_removal,[status(thm)],[f50693]) ).

thf(f50693,plain,
    ( ( $true = $false )
    | ( ( binintersect @ ( cartprod @ sK50 @ sK50 ) @ sK51 )
      = sK51 )
    | ~ spl2630_231 ),
    inference(forward_demodulation,[status(thm)],[f50690,f6543]) ).

thf(f50690,plain,
    ( ( ( binintersect @ ( cartprod @ sK50 @ sK50 ) @ sK51 )
      = sK51 )
    | ( $true
      = ( sP1520 @ $true ) )
    | ~ spl2630_231 ),
    inference(superposition,[status(thm)],[f9543,f8512]) ).

thf(f8512,plain,
    ( $true
    = ( subset @ sK51 @ ( cartprod @ sK50 @ sK50 ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f4545]) ).

thf(f4545,plain,
    ( $true
    = ( ^ [Y0: $i,Y1: $i] :
          ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( subset @ Y4 @ ( cartprod @ Y2 @ Y3 ) )
          @ Y0
          @ Y0
          @ Y1 )
      @ sK50
      @ sK51 ) ),
    inference(definition_unfolding,[status(thm)],[f2930,f4508]) ).

thf(f2930,plain,
    ( $true
    = ( breln1 @ sK50 @ sK51 ) ),
    inference(cnf_transformation,[status(thm)],[f1401]) ).

thf(f9879,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) )
        = ( binunion @ ( binintersect @ X0 @ X1 ) @ ( binintersect @ X0 @ X2 ) ) )
    | ~ spl2630_311 ),
    inference(avatar_component_clause,[status(thm)],[f9878]) ).

thf(f9878,definition,
    ( spl2630_311
  <=> ! [X2: $i,X0: $i,X1: $i] :
        ( ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) )
        = ( binunion @ ( binintersect @ X0 @ X1 ) @ ( binintersect @ X0 @ X2 ) ) ) ),
    introduced(definition,[new_symbols(naming,[spl2630_311])],[avatar_definition]) ).

thf(f11834,plain,
    ~ spl2630_230,
    inference(avatar_contradiction_clause,[status(thm)],[f11833]) ).

thf(f11833,plain,
    ( $false
    | ~ spl2630_230 ),
    inference(trivial_inequality_removal,[status(thm)],[f11832]) ).

thf(f11832,plain,
    ( ( $true = $false )
    | ~ spl2630_230 ),
    inference(forward_demodulation,[status(thm)],[f9540,f6544]) ).

thf(f6544,plain,
    ( $false
    = ( sP1521 @ $true ) ),
    introduced(definition,[new_symbols(naming,[sP1521])],[inequality_splitting_name_introduction]) ).

thf(f9540,plain,
    ( ( $true
      = ( sP1521 @ $true ) )
    | ~ spl2630_230 ),
    inference(avatar_component_clause,[status(thm)],[f9538]) ).

thf(f9538,definition,
    ( spl2630_230
  <=> ( $true
      = ( sP1521 @ $true ) ) ),
    introduced(definition,[new_symbols(naming,[spl2630_230])],[avatar_definition]) ).

thf(f9884,plain,
    ( spl2630_311
    | spl2630_312 ),
    inference(avatar_split_clause,[status(thm)],[f7754,f9881,f9878]) ).

thf(f7754,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
        = ( sP2317 @ $true ) )
      | ( ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) )
        = ( binunion @ ( binintersect @ X0 @ X1 ) @ ( binintersect @ X0 @ X2 ) ) ) ),
    inference(inequality_splitting,[status(thm)],[f5544,f7753]) ).

thf(f5544,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) )
        = ( binunion @ ( binintersect @ X0 @ X1 ) @ ( binintersect @ X0 @ X2 ) ) )
      | ( $true != $true ) ),
    inference(definition_unfolding,[status(thm)],[f4268,f3111]) ).

thf(f3111,plain,
    bs114d = $true,
    inference(cnf_transformation,[status(thm)],[f1401]) ).

thf(f4268,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) )
        = ( binunion @ ( binintersect @ X0 @ X1 ) @ ( binintersect @ X0 @ X2 ) ) )
      | ( bs114d != $true ) ),
    inference(cnf_transformation,[status(thm)],[f2614]) ).

thf(f2614,plain,
    ( ( ! [X0: $i,X1: $i,X2: $i] :
          ( ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) )
          = ( binunion @ ( binintersect @ X0 @ X1 ) @ ( binintersect @ X0 @ X2 ) ) )
      | ( bs114d != $true ) )
    & ( ( bs114d = $true )
      | ( ( binintersect @ sK830 @ ( binunion @ sK831 @ sK832 ) )
       != ( binunion @ ( binintersect @ sK830 @ sK831 ) @ ( binintersect @ sK830 @ sK832 ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK830,sK831,sK832])],[f2612,f2613]) ).

thf(f2613,plain,
    ( ? [X3: $i,X4: $i,X5: $i] :
        ( ( binintersect @ X3 @ ( binunion @ X4 @ X5 ) )
       != ( binunion @ ( binintersect @ X3 @ X4 ) @ ( binintersect @ X3 @ X5 ) ) )
   => ( ( binintersect @ sK830 @ ( binunion @ sK831 @ sK832 ) )
     != ( binunion @ ( binintersect @ sK830 @ sK831 ) @ ( binintersect @ sK830 @ sK832 ) ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f2612,plain,
    ( ( ! [X0: $i,X1: $i,X2: $i] :
          ( ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) )
          = ( binunion @ ( binintersect @ X0 @ X1 ) @ ( binintersect @ X0 @ X2 ) ) )
      | ( bs114d != $true ) )
    & ( ( bs114d = $true )
      | ? [X3: $i,X4: $i,X5: $i] :
          ( ( binintersect @ X3 @ ( binunion @ X4 @ X5 ) )
         != ( binunion @ ( binintersect @ X3 @ X4 ) @ ( binintersect @ X3 @ X5 ) ) ) ) ),
    inference(rectify,[status(thm)],[f2611]) ).

thf(f2611,plain,
    ( ( ! [X0: $i,X1: $i,X2: $i] :
          ( ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) )
          = ( binunion @ ( binintersect @ X0 @ X1 ) @ ( binintersect @ X0 @ X2 ) ) )
      | ( bs114d != $true ) )
    & ( ( bs114d = $true )
      | ? [X0: $i,X1: $i,X2: $i] :
          ( ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) )
         != ( binunion @ ( binintersect @ X0 @ X1 ) @ ( binintersect @ X0 @ X2 ) ) ) ) ),
    inference(nnf_transformation,[status(thm)],[f724]) ).

thf(f724,plain,
    ( ! [X0: $i,X1: $i,X2: $i] :
        ( ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) )
        = ( binunion @ ( binintersect @ X0 @ X1 ) @ ( binintersect @ X0 @ X2 ) ) )
  <=> ( bs114d = $true ) ),
    inference(fool_elimination,[status(thm)],[f723]) ).

thf(f723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( binintersect @ X0 @ ( binunion @ X1 @ X2 ) )
        = ( binunion @ ( binintersect @ X0 @ X1 ) @ ( binintersect @ X0 @ X2 ) ) )
      = bs114d ),
    inference(rectify,[status(thm)],[f119]) ).

thf(f119,axiom,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ( ( binintersect @ X3 @ ( binunion @ X4 @ X5 ) )
        = ( binunion @ ( binintersect @ X3 @ X4 ) @ ( binintersect @ X3 @ X5 ) ) )
      = bs114d ),
    file('/export/starexec/sandbox/tmp/tmp.gExcApT4FL/DTF2THF_29531.p',bs114d) ).

thf(f9544,plain,
    ( spl2630_230
    | spl2630_231 ),
    inference(avatar_split_clause,[status(thm)],[f6545,f9542,f9538]) ).

thf(f6545,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( binintersect @ X0 @ X1 )
        = X1 )
      | ( $true
        = ( sP1520 @ ( subset @ X1 @ X0 ) ) )
      | ( $true
        = ( sP1521 @ $true ) ) ),
    inference(inequality_splitting,[status(thm)],[f4925,f6544,f6543]) ).

thf(f4925,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( subset @ X1 @ X0 ) )
      | ( ( binintersect @ X0 @ X1 )
        = X1 )
      | ( $true != $true ) ),
    inference(definition_unfolding,[status(thm)],[f3602,f3147]) ).

thf(f3147,plain,
    binintersectSubset4 = $true,
    inference(cnf_transformation,[status(thm)],[f1401]) ).

thf(f3602,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( subset @ X1 @ X0 ) )
      | ( ( binintersect @ X0 @ X1 )
        = X1 )
      | ( binintersectSubset4 != $true ) ),
    inference(cnf_transformation,[status(thm)],[f1868]) ).

thf(f1868,plain,
    ( ( ! [X0: $i,X1: $i] :
          ( ( $true
           != ( subset @ X1 @ X0 ) )
          | ( ( binintersect @ X0 @ X1 )
            = X1 ) )
      | ( binintersectSubset4 != $true ) )
    & ( ( binintersectSubset4 = $true )
      | ( ( $true
          = ( subset @ sK346 @ sK345 ) )
        & ( sK346
         != ( binintersect @ sK345 @ sK346 ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK345,sK346])],[f1866,f1867]) ).

thf(f1867,plain,
    ( ? [X2: $i,X3: $i] :
        ( ( $true
          = ( subset @ X3 @ X2 ) )
        & ( ( binintersect @ X2 @ X3 )
         != X3 ) )
   => ( ( $true
        = ( subset @ sK346 @ sK345 ) )
      & ( sK346
       != ( binintersect @ sK345 @ sK346 ) ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f1866,plain,
    ( ( ! [X0: $i,X1: $i] :
          ( ( $true
           != ( subset @ X1 @ X0 ) )
          | ( ( binintersect @ X0 @ X1 )
            = X1 ) )
      | ( binintersectSubset4 != $true ) )
    & ( ( binintersectSubset4 = $true )
      | ? [X2: $i,X3: $i] :
          ( ( $true
            = ( subset @ X3 @ X2 ) )
          & ( ( binintersect @ X2 @ X3 )
           != X3 ) ) ) ),
    inference(rectify,[status(thm)],[f1865]) ).

thf(f1865,plain,
    ( ( ! [X0: $i,X1: $i] :
          ( ( $true
           != ( subset @ X1 @ X0 ) )
          | ( ( binintersect @ X0 @ X1 )
            = X1 ) )
      | ( binintersectSubset4 != $true ) )
    & ( ( binintersectSubset4 = $true )
      | ? [X0: $i,X1: $i] :
          ( ( $true
            = ( subset @ X1 @ X0 ) )
          & ( ( binintersect @ X0 @ X1 )
           != X1 ) ) ) ),
    inference(nnf_transformation,[status(thm)],[f1003]) ).

thf(f1003,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( subset @ X1 @ X0 ) )
        | ( ( binintersect @ X0 @ X1 )
          = X1 ) )
  <=> ( binintersectSubset4 = $true ) ),
    inference(ennf_transformation,[status(thm)],[f311]) ).

thf(f311,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( subset @ X1 @ X0 ) )
       => ( ( binintersect @ X0 @ X1 )
          = X1 ) )
  <=> ( binintersectSubset4 = $true ) ),
    inference(fool_elimination,[status(thm)],[f310]) ).

thf(f310,plain,
    ( binintersectSubset4
    = ( ! [X0: $i,X1: $i] :
          ( ( subset @ X1 @ X0 )
         => ( ( binintersect @ X0 @ X1 )
            = X1 ) ) ) ),
    inference(rectify,[status(thm)],[f117]) ).

thf(f117,axiom,
    ( binintersectSubset4
    = ( ! [X3: $i,X4: $i] :
          ( ( subset @ X4 @ X3 )
         => ( ( binintersect @ X3 @ X4 )
            = X4 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gExcApT4FL/DTF2THF_29531.p',binintersectSubset4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU782^1 : TPTP v9.2.1. Released v3.7.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.33  % Computer : n027.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Tue Feb 24 12:34:07 EST 2026
% 0.15/0.34  % CPUTime  : 
% 0.15/0.34  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.30/0.45  ---- Original DTF file ---
% 0.30/0.45  thf(spec,logic,$$dhol).
% 0.30/0.45  %------------------------------------------------------------------------------
% 0.30/0.45  % File     : SEU782^1 : TPTP v9.2.1. Released v3.7.0.
% 0.30/0.45  % Domain   : Set Theory
% 0.30/0.45  % Problem  : Binary Relations on a Set
% 0.30/0.45  % Version  : Especial.
% 0.30/0.45  % English  : (! A:i.! R:i.breln1 A R -> (! S:i.breln1 A S ->
% 0.30/0.45  %            breln1 A (binunion R S)))
% 0.30/0.45  
% 0.30/0.45  % Refs     : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.30/0.45  % Source   : [Bro08]
% 0.30/0.45  % Names    : ZFC284g [Bro08]
% 0.30/0.45  
% 0.30/0.45  % Status   : Theorem
% 0.30/0.45  % Rating   : 0.44 v9.1.0, 0.38 v9.0.0, 0.60 v8.2.0, 0.54 v8.1.0, 0.55 v7.5.0, 0.57 v7.4.0, 0.67 v7.2.0, 0.62 v7.1.0, 0.75 v7.0.0, 0.71 v6.4.0, 0.67 v6.3.0, 1.00 v6.1.0, 0.86 v5.5.0, 0.83 v5.4.0, 0.60 v5.2.0, 1.00 v3.7.0
% 0.30/0.45  % Syntax   : Number of formulae    :  649 ( 302 unt; 346 typ; 302 def)
% 0.30/0.45  %            Number of atoms       : 1844 ( 432 equ;   0 cnn)
% 0.30/0.45  %            Maximal formula atoms :  301 (   6 avg)
% 0.30/0.45  %            Number of connectives : 4009 (  73   ~;  12   |;  48   &;2908   @)
% 0.30/0.45  %                                         (  14 <=>; 954  =>;   0  <=;   0 <~>)
% 0.30/0.45  %            Maximal formula depth :  307 (   2 avg)
% 0.30/0.45  %            Number of types       :    2 (   0 usr)
% 0.30/0.45  %            Number of type conns  :  157 ( 157   >;   0   *;   0   +;   0  <<)
% 0.30/0.45  %            Number of symbols     :  349 ( 346 usr; 302 con; 0-4 aty)
% 0.30/0.45  %            Number of variables   : 1056 (  76   ^; 943   !;  37   ?;1056   :)
% 0.30/0.45  % SPC      : TH0_THM_EQU_NAR
% 0.30/0.45  
% 0.30/0.45  % Comments : http://mathgate.info/detsetitem.php?id=347
% 0.30/0.45  %------------------------------------------------------------------------------
% 0.30/0.45  thf(in_type,type,
% 0.30/0.45      in: $i > $i > $o ).
% 0.30/0.45  
% 0.30/0.45  thf(exu_type,type,
% 0.30/0.45      exu: ( $i > $o ) > $o ).
% 0.30/0.45  
% 0.30/0.45  thf(exu,definition,
% 0.30/0.45      ( exu
% 0.30/0.45      = ( ^ [Xphi: $i > $o] :
% 0.30/0.45          ? [Xx: $i] :
% 0.30/0.45            ( ( Xphi @ Xx )
% 0.30/0.45            & ! [Xy: $i] :
% 0.30/0.45                ( ( Xphi @ Xy )
% 0.30/0.45               => ( Xx = Xy ) ) ) ) ) ).
% 0.30/0.45  
% 0.30/0.45  thf(setextAx_type,type,
% 0.30/0.45      setextAx: $o ).
% 0.30/0.45  
% 0.30/0.45  thf(setextAx,definition,
% 0.30/0.45      ( setextAx
% 0.30/0.45      = ( ! [A: $i,B: $i] :
% 0.30/0.45            ( ! [Xx: $i] :
% 0.30/0.45                ( ( in @ Xx @ A )
% 0.30/0.45              <=> ( in @ Xx @ B ) )
% 0.30/0.45           => ( A = B ) ) ) ) ).
% 0.30/0.45  
% 0.30/0.45  thf(emptyset_type,type,
% 0.30/0.45      emptyset: $i ).
% 0.30/0.45  
% 0.30/0.45  thf(emptysetAx_type,type,
% 0.30/0.45      emptysetAx: $o ).
% 0.30/0.45  
% 0.30/0.45  thf(emptysetAx,definition,
% 0.30/0.45      ( emptysetAx
% 0.30/0.45      = ( ! [Xx: $i] :
% 0.30/0.45            ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.30/0.45  
% 0.30/0.45  thf(setadjoin_type,type,
% 0.30/0.45      setadjoin: $i > $i > $i ).
% 0.30/0.45  
% 0.30/0.45  thf(setadjoinAx_type,type,
% 0.30/0.45      setadjoinAx: $o ).
% 0.30/0.45  
% 0.30/0.45  thf(setadjoinAx,definition,
% 0.30/0.45      ( setadjoinAx
% 0.30/0.45      = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.30/0.45            ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.30/0.45          <=> ( ( Xy = Xx )
% 0.30/0.45              | ( in @ Xy @ A ) ) ) ) ) ).
% 0.30/0.45  
% 0.30/0.45  thf(powerset_type,type,
% 0.30/0.45      powerset: $i > $i ).
% 0.30/0.45  
% 0.30/0.45  thf(powersetAx_type,type,
% 0.30/0.45      powersetAx: $o ).
% 0.30/0.45  
% 0.30/0.45  thf(powersetAx,definition,
% 0.30/0.45      ( powersetAx
% 0.30/0.45      = ( ! [A: $i,B: $i] :
% 0.30/0.45            ( ( in @ B @ ( powerset @ A ) )
% 0.30/0.45          <=> ! [Xx: $i] :
% 0.30/0.45                ( ( in @ Xx @ B )
% 0.30/0.45               => ( in @ Xx @ A ) ) ) ) ) ).
% 0.30/0.45  
% 0.30/0.45  thf(setunion_type,type,
% 0.30/0.45      setunion: $i > $i ).
% 0.30/0.45  
% 0.30/0.45  thf(setunionAx_type,type,
% 0.30/0.45      setunionAx: $o ).
% 0.30/0.45  
% 0.30/0.45  thf(setunionAx,definition,
% 0.30/0.45      ( setunionAx
% 0.30/0.45      = ( ! [A: $i,Xx: $i] :
% 0.30/0.45            ( ( in @ Xx @ ( setunion @ A ) )
% 0.30/0.45          <=> ? [B: $i] :
% 0.30/0.45                ( ( in @ Xx @ B )
% 0.30/0.45                & ( in @ B @ A ) ) ) ) ) ).
% 0.30/0.45  
% 0.30/0.45  thf(omega_type,type,
% 0.30/0.45      omega: $i ).
% 0.30/0.45  
% 0.30/0.45  thf(omega0Ax_type,type,
% 0.30/0.45      omega0Ax: $o ).
% 0.30/0.45  
% 0.30/0.45  thf(omega0Ax,definition,
% 0.30/0.45      ( omega0Ax
% 0.30/0.45      = ( in @ emptyset @ omega ) ) ).
% 0.30/0.45  
% 0.30/0.45  thf(omegaSAx_type,type,
% 0.30/0.45      omegaSAx: $o ).
% 0.30/0.45  
% 0.30/0.45  thf(omegaSAx,definition,
% 0.30/0.45      ( omegaSAx
% 0.30/0.45      = ( ! [Xx: $i] :
% 0.30/0.45            ( ( in @ Xx @ omega )
% 0.30/0.45           => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 0.30/0.45  
% 0.30/0.45  thf(omegaIndAx_type,type,
% 0.30/0.45      omegaIndAx: $o ).
% 0.30/0.45  
% 0.30/0.45  thf(omegaIndAx,definition,
% 0.30/0.45      ( omegaIndAx
% 0.30/0.45      = ( ! [A: $i] :
% 0.30/0.45            ( ( ( in @ emptyset @ A )
% 0.30/0.45              & ! [Xx: $i] :
% 0.30/0.45                  ( ( ( in @ Xx @ omega )
% 0.30/0.45                    & ( in @ Xx @ A ) )
% 0.30/0.45                 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 0.30/0.45           => ! [Xx: $i] :
% 0.30/0.45                ( ( in @ Xx @ omega )
% 0.30/0.45               => ( in @ Xx @ A ) ) ) ) ) ).
% 0.30/0.45  
% 0.30/0.45  thf(replAx_type,type,
% 0.30/0.45      replAx: $o ).
% 0.30/0.45  
% 0.30/0.45  thf(replAx,definition,
% 0.30/0.45      ( replAx
% 0.30/0.45      = ( ! [Xphi: $i > $i > $o,A: $i] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( exu
% 0.30/0.46                  @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 0.30/0.46           => ? [B: $i] :
% 0.30/0.46              ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ B )
% 0.30/0.46              <=> ? [Xy: $i] :
% 0.30/0.46                    ( ( in @ Xy @ A )
% 0.30/0.46                    & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(foundationAx_type,type,
% 0.30/0.46      foundationAx: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(foundationAx,definition,
% 0.30/0.46      ( foundationAx
% 0.30/0.46      = ( ! [A: $i] :
% 0.30/0.46            ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.30/0.46           => ? [B: $i] :
% 0.30/0.46                ( ( in @ B @ A )
% 0.30/0.46                & ~ ? [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ B )
% 0.30/0.46                      & ( in @ Xx @ A ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(wellorderingAx_type,type,
% 0.30/0.46      wellorderingAx: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(wellorderingAx,definition,
% 0.30/0.46      ( wellorderingAx
% 0.30/0.46      = ( ! [A: $i] :
% 0.30/0.46          ? [B: $i] :
% 0.30/0.46            ( ! [C: $i] :
% 0.30/0.46                ( ( in @ C @ B )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ C )
% 0.30/0.46                   => ( in @ Xx @ A ) ) )
% 0.30/0.46            & ! [Xx: $i,Xy: $i] :
% 0.30/0.46                ( ( ( in @ Xx @ A )
% 0.30/0.46                  & ( in @ Xy @ A ) )
% 0.30/0.46               => ( ! [C: $i] :
% 0.30/0.46                      ( ( in @ C @ B )
% 0.30/0.46                     => ( ( in @ Xx @ C )
% 0.30/0.46                      <=> ( in @ Xy @ C ) ) )
% 0.30/0.46                 => ( Xx = Xy ) ) )
% 0.30/0.46            & ! [C: $i,D: $i] :
% 0.30/0.46                ( ( ( in @ C @ B )
% 0.30/0.46                  & ( in @ D @ B ) )
% 0.30/0.46               => ( ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ C )
% 0.30/0.46                     => ( in @ Xx @ D ) )
% 0.30/0.46                  | ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ D )
% 0.30/0.46                     => ( in @ Xx @ C ) ) ) )
% 0.30/0.46            & ! [C: $i] :
% 0.30/0.46                ( ( ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ C )
% 0.30/0.46                     => ( in @ Xx @ A ) )
% 0.30/0.46                  & ? [Xx: $i] : ( in @ Xx @ C ) )
% 0.30/0.46               => ? [D: $i,Xx: $i] :
% 0.30/0.46                    ( ( in @ D @ B )
% 0.30/0.46                    & ( in @ Xx @ C )
% 0.30/0.46                    & ~ ? [Xy: $i] :
% 0.30/0.46                          ( ( in @ Xy @ D )
% 0.30/0.46                          & ( in @ Xy @ C ) )
% 0.30/0.46                    & ! [E: $i] :
% 0.30/0.46                        ( ( in @ E @ B )
% 0.30/0.46                       => ( ! [Xy: $i] :
% 0.30/0.46                              ( ( in @ Xy @ E )
% 0.30/0.46                             => ( in @ Xy @ D ) )
% 0.30/0.46                          | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(descr_type,type,
% 0.30/0.46      descr: ( $i > $o ) > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(descrp_type,type,
% 0.30/0.46      descrp: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(descrp,definition,
% 0.30/0.46      ( descrp
% 0.30/0.46      = ( ! [Xphi: $i > $o] :
% 0.30/0.46            ( ( exu
% 0.30/0.46              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46           => ( Xphi
% 0.30/0.46              @ ( descr
% 0.30/0.46                @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(dsetconstr_type,type,
% 0.30/0.46      dsetconstr: $i > ( $i > $o ) > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(dsetconstrI_type,type,
% 0.30/0.46      dsetconstrI: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(dsetconstrI,definition,
% 0.30/0.46      ( dsetconstrI
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( ( Xphi @ Xx )
% 0.30/0.46             => ( in @ Xx
% 0.30/0.46                @ ( dsetconstr @ A
% 0.30/0.46                  @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(dsetconstrEL_type,type,
% 0.30/0.46      dsetconstrEL: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(dsetconstrEL,definition,
% 0.30/0.46      ( dsetconstrEL
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx
% 0.30/0.46              @ ( dsetconstr @ A
% 0.30/0.46                @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.30/0.46           => ( in @ Xx @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(dsetconstrER_type,type,
% 0.30/0.46      dsetconstrER: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(dsetconstrER,definition,
% 0.30/0.46      ( dsetconstrER
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx
% 0.30/0.46              @ ( dsetconstr @ A
% 0.30/0.46                @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.30/0.46           => ( Xphi @ Xx ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(exuE1_type,type,
% 0.30/0.46      exuE1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(exuE1,definition,
% 0.30/0.46      ( exuE1
% 0.30/0.46      = ( ! [Xphi: $i > $o] :
% 0.30/0.46            ( ( exu
% 0.30/0.46              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46           => ? [Xx: $i] :
% 0.30/0.46                ( ( Xphi @ Xx )
% 0.30/0.46                & ! [Xy: $i] :
% 0.30/0.46                    ( ( Xphi @ Xy )
% 0.30/0.46                   => ( Xx = Xy ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(prop2set_type,type,
% 0.30/0.46      prop2set: $o > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(prop2setE_type,type,
% 0.30/0.46      prop2setE: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(prop2setE,definition,
% 0.30/0.46      ( prop2setE
% 0.30/0.46      = ( ! [Xphi: $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 0.30/0.46           => Xphi ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(emptysetE_type,type,
% 0.30/0.46      emptysetE: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(emptysetE,definition,
% 0.30/0.46      ( emptysetE
% 0.30/0.46      = ( ! [Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ emptyset )
% 0.30/0.46           => ! [Xphi: $o] : Xphi ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(emptysetimpfalse_type,type,
% 0.30/0.46      emptysetimpfalse: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(emptysetimpfalse,definition,
% 0.30/0.46      ( emptysetimpfalse
% 0.30/0.46      = ( ! [Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ emptyset )
% 0.30/0.46           => $false ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(notinemptyset_type,type,
% 0.30/0.46      notinemptyset: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(notinemptyset,definition,
% 0.30/0.46      ( notinemptyset
% 0.30/0.46      = ( ! [Xx: $i] :
% 0.30/0.46            ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(exuE3e_type,type,
% 0.30/0.46      exuE3e: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(exuE3e,definition,
% 0.30/0.46      ( exuE3e
% 0.30/0.46      = ( ! [Xphi: $i > $o] :
% 0.30/0.46            ( ( exu
% 0.30/0.46              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46           => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setext_type,type,
% 0.30/0.46      setext: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setext,definition,
% 0.30/0.46      ( setext
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( in @ Xx @ B ) )
% 0.30/0.46           => ( ! [Xx: $i] :
% 0.30/0.46                  ( ( in @ Xx @ B )
% 0.30/0.46                 => ( in @ Xx @ A ) )
% 0.30/0.46             => ( A = B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(emptyI_type,type,
% 0.30/0.46      emptyI: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(emptyI,definition,
% 0.30/0.46      ( emptyI
% 0.30/0.46      = ( ! [A: $i] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ~ ( in @ Xx @ A )
% 0.30/0.46           => ( A = emptyset ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(noeltsimpempty_type,type,
% 0.30/0.46      noeltsimpempty: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(noeltsimpempty,definition,
% 0.30/0.46      ( noeltsimpempty
% 0.30/0.46      = ( ! [A: $i] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ~ ( in @ Xx @ A )
% 0.30/0.46           => ( A = emptyset ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setbeta_type,type,
% 0.30/0.46      setbeta: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setbeta,definition,
% 0.30/0.46      ( setbeta
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( ( in @ Xx
% 0.30/0.46                @ ( dsetconstr @ A
% 0.30/0.46                  @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.30/0.46            <=> ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(nonempty_type,type,
% 0.30/0.46      nonempty: $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(nonempty,definition,
% 0.30/0.46      ( nonempty
% 0.30/0.46      = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(nonemptyE1_type,type,
% 0.30/0.46      nonemptyE1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(nonemptyE1,definition,
% 0.30/0.46      ( nonemptyE1
% 0.30/0.46      = ( ! [A: $i] :
% 0.30/0.46            ( ( nonempty @ A )
% 0.30/0.46           => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(nonemptyI_type,type,
% 0.30/0.46      nonemptyI: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(nonemptyI,definition,
% 0.30/0.46      ( nonemptyI
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( ( Xphi @ Xx )
% 0.30/0.46             => ( nonempty
% 0.30/0.46                @ ( dsetconstr @ A
% 0.30/0.46                  @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(nonemptyI1_type,type,
% 0.30/0.46      nonemptyI1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(nonemptyI1,definition,
% 0.30/0.46      ( nonemptyI1
% 0.30/0.46      = ( ! [A: $i] :
% 0.30/0.46            ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.30/0.46           => ( nonempty @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setadjoinIL_type,type,
% 0.30/0.46      setadjoinIL: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setadjoinIL,definition,
% 0.30/0.46      ( setadjoinIL
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(emptyinunitempty_type,type,
% 0.30/0.46      emptyinunitempty: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(emptyinunitempty,definition,
% 0.30/0.46      ( emptyinunitempty
% 0.30/0.46      = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setadjoinIR_type,type,
% 0.30/0.46      setadjoinIR: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setadjoinIR,definition,
% 0.30/0.46      ( setadjoinIR
% 0.30/0.46      = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.30/0.46            ( ( in @ Xy @ A )
% 0.30/0.46           => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setadjoinE_type,type,
% 0.30/0.46      setadjoinE: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setadjoinE,definition,
% 0.30/0.46      ( setadjoinE
% 0.30/0.46      = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.30/0.46            ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.30/0.46           => ! [Xphi: $o] :
% 0.30/0.46                ( ( ( Xy = Xx )
% 0.30/0.46                 => Xphi )
% 0.30/0.46               => ( ( ( in @ Xy @ A )
% 0.30/0.46                   => Xphi )
% 0.30/0.46                 => Xphi ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setadjoinOr_type,type,
% 0.30/0.46      setadjoinOr: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setadjoinOr,definition,
% 0.30/0.46      ( setadjoinOr
% 0.30/0.46      = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.30/0.46            ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.30/0.46           => ( ( Xy = Xx )
% 0.30/0.46              | ( in @ Xy @ A ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setoftrueEq_type,type,
% 0.30/0.46      setoftrueEq: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setoftrueEq,definition,
% 0.30/0.46      ( setoftrueEq
% 0.30/0.46      = ( ! [A: $i] :
% 0.30/0.46            ( ( dsetconstr @ A
% 0.30/0.46              @ ^ [Xx: $i] : $true )
% 0.30/0.46            = A ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetI_type,type,
% 0.30/0.46      powersetI: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetI,definition,
% 0.30/0.46      ( powersetI
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ B )
% 0.30/0.46               => ( in @ Xx @ A ) )
% 0.30/0.46           => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(emptyinPowerset_type,type,
% 0.30/0.46      emptyinPowerset: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(emptyinPowerset,definition,
% 0.30/0.46      ( emptyinPowerset
% 0.30/0.46      = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(emptyInPowerset_type,type,
% 0.30/0.46      emptyInPowerset: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(emptyInPowerset,definition,
% 0.30/0.46      ( emptyInPowerset
% 0.30/0.46      = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetE_type,type,
% 0.30/0.46      powersetE: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetE,definition,
% 0.30/0.46      ( powersetE
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ B @ ( powerset @ A ) )
% 0.30/0.46           => ( ( in @ Xx @ B )
% 0.30/0.46             => ( in @ Xx @ A ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setunionI_type,type,
% 0.30/0.46      setunionI: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setunionI,definition,
% 0.30/0.46      ( setunionI
% 0.30/0.46      = ( ! [A: $i,Xx: $i,B: $i] :
% 0.30/0.46            ( ( in @ Xx @ B )
% 0.30/0.46           => ( ( in @ B @ A )
% 0.30/0.46             => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setunionE_type,type,
% 0.30/0.46      setunionE: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setunionE,definition,
% 0.30/0.46      ( setunionE
% 0.30/0.46      = ( ! [A: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ ( setunion @ A ) )
% 0.30/0.46           => ! [Xphi: $o] :
% 0.30/0.46                ( ! [B: $i] :
% 0.30/0.46                    ( ( in @ Xx @ B )
% 0.30/0.46                   => ( ( in @ B @ A )
% 0.30/0.46                     => Xphi ) )
% 0.30/0.46               => Xphi ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(subPowSU_type,type,
% 0.30/0.46      subPowSU: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(subPowSU,definition,
% 0.30/0.46      ( subPowSU
% 0.30/0.46      = ( ! [A: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(exuE2_type,type,
% 0.30/0.46      exuE2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(exuE2,definition,
% 0.30/0.46      ( exuE2
% 0.30/0.46      = ( ! [Xphi: $i > $o] :
% 0.30/0.46            ( ( exu
% 0.30/0.46              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46           => ? [Xx: $i] :
% 0.30/0.46              ! [Xy: $i] :
% 0.30/0.46                ( ( Xphi @ Xy )
% 0.30/0.46              <=> ( Xy = Xx ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(nonemptyImpWitness_type,type,
% 0.30/0.46      nonemptyImpWitness: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(nonemptyImpWitness,definition,
% 0.30/0.46      ( nonemptyImpWitness
% 0.30/0.46      = ( ! [A: $i] :
% 0.30/0.46            ( ( nonempty @ A )
% 0.30/0.46           => ? [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46                & $true ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(uniqinunit_type,type,
% 0.30/0.46      uniqinunit: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(uniqinunit,definition,
% 0.30/0.46      ( uniqinunit
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.30/0.46           => ( Xx = Xy ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(notinsingleton_type,type,
% 0.30/0.46      notinsingleton: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(notinsingleton,definition,
% 0.30/0.46      ( notinsingleton
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( Xx != Xy )
% 0.30/0.46           => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(eqinunit_type,type,
% 0.30/0.46      eqinunit: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(eqinunit,definition,
% 0.30/0.46      ( eqinunit
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( Xx = Xy )
% 0.30/0.46           => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(singletonsswitch_type,type,
% 0.30/0.46      singletonsswitch: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(singletonsswitch,definition,
% 0.30/0.46      ( singletonsswitch
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.30/0.46           => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(upairsetE_type,type,
% 0.30/0.46      upairsetE: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(upairsetE,definition,
% 0.30/0.46      ( upairsetE
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.30/0.46            ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 0.30/0.46           => ( ( Xz = Xx )
% 0.30/0.46              | ( Xz = Xy ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(upairsetIL_type,type,
% 0.30/0.46      upairsetIL: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(upairsetIL,definition,
% 0.30/0.46      ( upairsetIL
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(upairsetIR_type,type,
% 0.30/0.46      upairsetIR: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(upairsetIR,definition,
% 0.30/0.46      ( upairsetIR
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(emptyE1_type,type,
% 0.30/0.46      emptyE1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(emptyE1,definition,
% 0.30/0.46      ( emptyE1
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.46            ( ? [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46                & ( Xphi @ Xx ) )
% 0.30/0.46           => ( ( ( dsetconstr @ A
% 0.30/0.46                  @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46                = emptyset )
% 0.30/0.46             => $false ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(vacuousDall_type,type,
% 0.30/0.46      vacuousDall: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(vacuousDall,definition,
% 0.30/0.46      ( vacuousDall
% 0.30/0.46      = ( ! [Xphi: $i > $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ emptyset )
% 0.30/0.46           => ( Xphi @ Xx ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(quantDeMorgan1_type,type,
% 0.30/0.46      quantDeMorgan1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(quantDeMorgan1,definition,
% 0.30/0.46      ( quantDeMorgan1
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.46            ( ~ ! [Xx: $i] :
% 0.30/0.46                  ( ( in @ Xx @ A )
% 0.30/0.46                 => ( Xphi @ Xx ) )
% 0.30/0.46           => ? [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46                & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(quantDeMorgan2_type,type,
% 0.30/0.46      quantDeMorgan2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(quantDeMorgan2,definition,
% 0.30/0.46      ( quantDeMorgan2
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ~ ( Xphi @ Xx ) )
% 0.30/0.46           => ~ ? [Xx: $i] :
% 0.30/0.46                  ( ( in @ Xx @ A )
% 0.30/0.46                  & ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(quantDeMorgan3_type,type,
% 0.30/0.46      quantDeMorgan3: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(quantDeMorgan3,definition,
% 0.30/0.46      ( quantDeMorgan3
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.46            ( ~ ? [Xx: $i] :
% 0.30/0.46                  ( ( in @ Xx @ A )
% 0.30/0.46                  & ( Xphi @ Xx ) )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(quantDeMorgan4_type,type,
% 0.30/0.46      quantDeMorgan4: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(quantDeMorgan4,definition,
% 0.30/0.46      ( quantDeMorgan4
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.46            ( ? [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46                & ~ ( Xphi @ Xx ) )
% 0.30/0.46           => ~ ! [Xx: $i] :
% 0.30/0.46                  ( ( in @ Xx @ A )
% 0.30/0.46                 => ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(prop2setI_type,type,
% 0.30/0.46      prop2setI: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(prop2setI,definition,
% 0.30/0.46      ( prop2setI
% 0.30/0.46      = ( ! [Xphi: $o] :
% 0.30/0.46            ( Xphi
% 0.30/0.46           => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(set2prop_type,type,
% 0.30/0.46      set2prop: $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(prop2set2propI_type,type,
% 0.30/0.46      prop2set2propI: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(prop2set2propI,definition,
% 0.30/0.46      ( prop2set2propI
% 0.30/0.46      = ( ! [Xphi: $o] :
% 0.30/0.46            ( Xphi
% 0.30/0.46           => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(notdexE_type,type,
% 0.30/0.46      notdexE: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(notdexE,definition,
% 0.30/0.46      ( notdexE
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.46            ( ~ ? [Xx: $i] :
% 0.30/0.46                  ( ( in @ Xx @ A )
% 0.30/0.46                  & ( Xphi @ Xx ) )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(notdallE_type,type,
% 0.30/0.46      notdallE: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(notdallE,definition,
% 0.30/0.46      ( notdallE
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.46            ( ~ ! [Xx: $i] :
% 0.30/0.46                  ( ( in @ Xx @ A )
% 0.30/0.46                 => ( Xphi @ Xx ) )
% 0.30/0.46           => ? [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46                & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(exuI1_type,type,
% 0.30/0.46      exuI1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(exuI1,definition,
% 0.30/0.46      ( exuI1
% 0.30/0.46      = ( ! [Xphi: $i > $o] :
% 0.30/0.46            ( ? [Xx: $i] :
% 0.30/0.46                ( ( Xphi @ Xx )
% 0.30/0.46                & ! [Xy: $i] :
% 0.30/0.46                    ( ( Xphi @ Xy )
% 0.30/0.46                   => ( Xx = Xy ) ) )
% 0.30/0.46           => ( exu
% 0.30/0.46              @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(exuI3_type,type,
% 0.30/0.46      exuI3: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(exuI3,definition,
% 0.30/0.46      ( exuI3
% 0.30/0.46      = ( ! [Xphi: $i > $o] :
% 0.30/0.46            ( ? [Xx: $i] : ( Xphi @ Xx )
% 0.30/0.46           => ( ! [Xx: $i,Xy: $i] :
% 0.30/0.46                  ( ( Xphi @ Xx )
% 0.30/0.46                 => ( ( Xphi @ Xy )
% 0.30/0.46                   => ( Xx = Xy ) ) )
% 0.30/0.46             => ( exu
% 0.30/0.46                @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(exuI2_type,type,
% 0.30/0.46      exuI2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(exuI2,definition,
% 0.30/0.46      ( exuI2
% 0.30/0.46      = ( ! [Xphi: $i > $o] :
% 0.30/0.46            ( ? [Xx: $i] :
% 0.30/0.46              ! [Xy: $i] :
% 0.30/0.46                ( ( Xphi @ Xy )
% 0.30/0.46              <=> ( Xy = Xx ) )
% 0.30/0.46           => ( exu
% 0.30/0.46              @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(inCongP_type,type,
% 0.30/0.46      inCongP: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(inCongP,definition,
% 0.30/0.46      ( inCongP
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( A = B )
% 0.30/0.46           => ! [Xx: $i,Xy: $i] :
% 0.30/0.46                ( ( Xx = Xy )
% 0.30/0.46               => ( ( in @ Xx @ A )
% 0.30/0.46                 => ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(in__Cong_type,type,
% 0.30/0.46      in__Cong: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(in__Cong,definition,
% 0.30/0.46      ( in__Cong
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( A = B )
% 0.30/0.46           => ! [Xx: $i,Xy: $i] :
% 0.30/0.46                ( ( Xx = Xy )
% 0.30/0.46               => ( ( in @ Xx @ A )
% 0.30/0.46                <=> ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(exuE3u_type,type,
% 0.30/0.46      exuE3u: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(exuE3u,definition,
% 0.30/0.46      ( exuE3u
% 0.30/0.46      = ( ! [Xphi: $i > $o] :
% 0.30/0.46            ( ( exu
% 0.30/0.46              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46           => ! [Xx: $i,Xy: $i] :
% 0.30/0.46                ( ( Xphi @ Xx )
% 0.30/0.46               => ( ( Xphi @ Xy )
% 0.30/0.46                 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(exu__Cong_type,type,
% 0.30/0.46      exu__Cong: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(exu__Cong,definition,
% 0.30/0.46      ( exu__Cong
% 0.30/0.46      = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.30/0.46            ( ! [Xx: $i,Xy: $i] :
% 0.30/0.46                ( ( Xx = Xy )
% 0.30/0.46               => ( ( Xphi @ Xx )
% 0.30/0.46                <=> ( Xpsi @ Xy ) ) )
% 0.30/0.46           => ( ( exu
% 0.30/0.46                @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46            <=> ( exu
% 0.30/0.46                @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(emptyset__Cong_type,type,
% 0.30/0.46      emptyset__Cong: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(emptyset__Cong,definition,
% 0.30/0.46      ( emptyset__Cong
% 0.30/0.46      = ( emptyset = emptyset ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setadjoin__Cong_type,type,
% 0.30/0.46      setadjoin__Cong: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setadjoin__Cong,definition,
% 0.30/0.46      ( setadjoin__Cong
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( Xx = Xy )
% 0.30/0.46           => ! [Xz: $i,Xu: $i] :
% 0.30/0.46                ( ( Xz = Xu )
% 0.30/0.46               => ( ( setadjoin @ Xx @ Xz )
% 0.30/0.46                  = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(powerset__Cong_type,type,
% 0.30/0.46      powerset__Cong: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(powerset__Cong,definition,
% 0.30/0.46      ( powerset__Cong
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( A = B )
% 0.30/0.46           => ( ( powerset @ A )
% 0.30/0.46              = ( powerset @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setunion__Cong_type,type,
% 0.30/0.46      setunion__Cong: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setunion__Cong,definition,
% 0.30/0.46      ( setunion__Cong
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( A = B )
% 0.30/0.46           => ( ( setunion @ A )
% 0.30/0.46              = ( setunion @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(omega__Cong_type,type,
% 0.30/0.46      omega__Cong: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(omega__Cong,definition,
% 0.30/0.46      ( omega__Cong
% 0.30/0.46      = ( omega = omega ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(exuEu_type,type,
% 0.30/0.46      exuEu: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(exuEu,definition,
% 0.30/0.46      ( exuEu
% 0.30/0.46      = ( ! [Xphi: $i > $o] :
% 0.30/0.46            ( ( exu
% 0.30/0.46              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46           => ! [Xx: $i,Xy: $i] :
% 0.30/0.46                ( ( Xphi @ Xx )
% 0.30/0.46               => ( ( Xphi @ Xy )
% 0.30/0.46                 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(descr__Cong_type,type,
% 0.30/0.46      descr__Cong: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(descr__Cong,definition,
% 0.30/0.46      ( descr__Cong
% 0.30/0.46      = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.30/0.46            ( ! [Xx: $i,Xy: $i] :
% 0.30/0.46                ( ( Xx = Xy )
% 0.30/0.46               => ( ( Xphi @ Xx )
% 0.30/0.46                <=> ( Xpsi @ Xy ) ) )
% 0.30/0.46           => ( ( exu
% 0.30/0.46                @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46             => ( ( exu
% 0.30/0.46                  @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
% 0.30/0.46               => ( ( descr
% 0.30/0.46                    @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46                  = ( descr
% 0.30/0.46                    @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(dsetconstr__Cong_type,type,
% 0.30/0.46      dsetconstr__Cong: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(dsetconstr__Cong,definition,
% 0.30/0.46      ( dsetconstr__Cong
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( A = B )
% 0.30/0.46           => ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.30/0.46                ( ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ! [Xy: $i] :
% 0.30/0.46                        ( ( in @ Xy @ B )
% 0.30/0.46                       => ( ( Xx = Xy )
% 0.30/0.46                         => ( ( Xphi @ Xx )
% 0.30/0.46                          <=> ( Xpsi @ Xy ) ) ) ) )
% 0.30/0.46               => ( ( dsetconstr @ A
% 0.30/0.46                    @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46                  = ( dsetconstr @ B
% 0.30/0.46                    @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(subset_type,type,
% 0.30/0.46      subset: $i > $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(disjoint_type,type,
% 0.30/0.46      disjoint: $i > $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setsmeet_type,type,
% 0.30/0.46      setsmeet: $i > $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetI1_type,type,
% 0.30/0.46      subsetI1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetI1,definition,
% 0.30/0.46      ( subsetI1
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( in @ Xx @ B ) )
% 0.30/0.46           => ( subset @ A @ B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(eqimpsubset2_type,type,
% 0.30/0.46      eqimpsubset2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(eqimpsubset2,definition,
% 0.30/0.46      ( eqimpsubset2
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( A = B )
% 0.30/0.46           => ( subset @ B @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(eqimpsubset1_type,type,
% 0.30/0.46      eqimpsubset1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(eqimpsubset1,definition,
% 0.30/0.46      ( eqimpsubset1
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( A = B )
% 0.30/0.46           => ( subset @ A @ B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetI2_type,type,
% 0.30/0.46      subsetI2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetI2,definition,
% 0.30/0.46      ( subsetI2
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( in @ Xx @ B ) )
% 0.30/0.46           => ( subset @ A @ B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(emptysetsubset_type,type,
% 0.30/0.46      emptysetsubset: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(emptysetsubset,definition,
% 0.30/0.46      ( emptysetsubset
% 0.30/0.46      = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetE_type,type,
% 0.30/0.46      subsetE: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetE,definition,
% 0.30/0.46      ( subsetE
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( subset @ A @ B )
% 0.30/0.46           => ( ( in @ Xx @ A )
% 0.30/0.46             => ( in @ Xx @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetE2_type,type,
% 0.30/0.46      subsetE2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetE2,definition,
% 0.30/0.46      ( subsetE2
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( subset @ A @ B )
% 0.30/0.46           => ( ~ ( in @ Xx @ B )
% 0.30/0.46             => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(notsubsetI_type,type,
% 0.30/0.46      notsubsetI: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(notsubsetI,definition,
% 0.30/0.46      ( notsubsetI
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( ~ ( in @ Xx @ B )
% 0.30/0.46             => ~ ( subset @ A @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(notequalI1_type,type,
% 0.30/0.46      notequalI1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(notequalI1,definition,
% 0.30/0.46      ( notequalI1
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ~ ( subset @ A @ B )
% 0.30/0.46           => ( A != B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(notequalI2_type,type,
% 0.30/0.46      notequalI2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(notequalI2,definition,
% 0.30/0.46      ( notequalI2
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( ~ ( in @ Xx @ B )
% 0.30/0.46             => ( A != B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetRefl_type,type,
% 0.30/0.46      subsetRefl: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetRefl,definition,
% 0.30/0.46      ( subsetRefl
% 0.30/0.46      = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetTrans_type,type,
% 0.30/0.46      subsetTrans: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetTrans,definition,
% 0.30/0.46      ( subsetTrans
% 0.30/0.46      = ( ! [A: $i,B: $i,C: $i] :
% 0.30/0.46            ( ( subset @ A @ B )
% 0.30/0.46           => ( ( subset @ B @ C )
% 0.30/0.46             => ( subset @ A @ C ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setadjoinSub_type,type,
% 0.30/0.46      setadjoinSub: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setadjoinSub,definition,
% 0.30/0.46      ( setadjoinSub
% 0.30/0.46      = ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setadjoinSub2_type,type,
% 0.30/0.46      setadjoinSub2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setadjoinSub2,definition,
% 0.30/0.46      ( setadjoinSub2
% 0.30/0.46      = ( ! [A: $i,Xx: $i,B: $i] :
% 0.30/0.46            ( ( subset @ A @ B )
% 0.30/0.46           => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(subset2powerset_type,type,
% 0.30/0.46      subset2powerset: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(subset2powerset,definition,
% 0.30/0.46      ( subset2powerset
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( subset @ A @ B )
% 0.30/0.46           => ( in @ A @ ( powerset @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setextsub_type,type,
% 0.30/0.46      setextsub: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setextsub,definition,
% 0.30/0.46      ( setextsub
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( subset @ A @ B )
% 0.30/0.46           => ( ( subset @ B @ A )
% 0.30/0.46             => ( A = B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetemptysetimpeq_type,type,
% 0.30/0.46      subsetemptysetimpeq: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetemptysetimpeq,definition,
% 0.30/0.46      ( subsetemptysetimpeq
% 0.30/0.46      = ( ! [A: $i] :
% 0.30/0.46            ( ( subset @ A @ emptyset )
% 0.30/0.46           => ( A = emptyset ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetI1_type,type,
% 0.30/0.46      powersetI1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetI1,definition,
% 0.30/0.46      ( powersetI1
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( subset @ B @ A )
% 0.30/0.46           => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetE1_type,type,
% 0.30/0.46      powersetE1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetE1,definition,
% 0.30/0.46      ( powersetE1
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( in @ B @ ( powerset @ A ) )
% 0.30/0.46           => ( subset @ B @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(inPowerset_type,type,
% 0.30/0.46      inPowerset: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(inPowerset,definition,
% 0.30/0.46      ( inPowerset
% 0.30/0.46      = ( ! [A: $i] : ( in @ A @ ( powerset @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetsubset_type,type,
% 0.30/0.46      powersetsubset: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetsubset,definition,
% 0.30/0.46      ( powersetsubset
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( subset @ A @ B )
% 0.30/0.46           => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(sepInPowerset_type,type,
% 0.30/0.46      sepInPowerset: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(sepInPowerset,definition,
% 0.30/0.46      ( sepInPowerset
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.46            ( in
% 0.30/0.46            @ ( dsetconstr @ A
% 0.30/0.46              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46            @ ( powerset @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(sepSubset_type,type,
% 0.30/0.46      sepSubset: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(sepSubset,definition,
% 0.30/0.46      ( sepSubset
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.46            ( subset
% 0.30/0.46            @ ( dsetconstr @ A
% 0.30/0.46              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46            @ A ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binunion_type,type,
% 0.30/0.46      binunion: $i > $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionIL_type,type,
% 0.30/0.46      binunionIL: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionIL,definition,
% 0.30/0.46      ( binunionIL
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(upairset2IR_type,type,
% 0.30/0.46      upairset2IR: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(upairset2IR,definition,
% 0.30/0.46      ( upairset2IR
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionIR_type,type,
% 0.30/0.46      binunionIR: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionIR,definition,
% 0.30/0.46      ( binunionIR
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ B )
% 0.30/0.46           => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionEcases_type,type,
% 0.30/0.46      binunionEcases: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionEcases,definition,
% 0.30/0.46      ( binunionEcases
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
% 0.30/0.46            ( ( in @ Xx @ ( binunion @ A @ B ) )
% 0.30/0.46           => ( ( ( in @ Xx @ A )
% 0.30/0.46               => Xphi )
% 0.30/0.46             => ( ( ( in @ Xx @ B )
% 0.30/0.46                 => Xphi )
% 0.30/0.46               => Xphi ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionE_type,type,
% 0.30/0.46      binunionE: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionE,definition,
% 0.30/0.46      ( binunionE
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ ( binunion @ A @ B ) )
% 0.30/0.46           => ( ( in @ Xx @ A )
% 0.30/0.46              | ( in @ Xx @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionLsub_type,type,
% 0.30/0.46      binunionLsub: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionLsub,definition,
% 0.30/0.46      ( binunionLsub
% 0.30/0.46      = ( ! [A: $i,B: $i] : ( subset @ A @ ( binunion @ A @ B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionRsub_type,type,
% 0.30/0.46      binunionRsub: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionRsub,definition,
% 0.30/0.46      ( binunionRsub
% 0.30/0.46      = ( ! [A: $i,B: $i] : ( subset @ B @ ( binunion @ A @ B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersect_type,type,
% 0.30/0.46      binintersect: $i > $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectI_type,type,
% 0.30/0.46      binintersectI: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectI,definition,
% 0.30/0.46      ( binintersectI
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( ( in @ Xx @ B )
% 0.30/0.46             => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectSubset5_type,type,
% 0.30/0.46      binintersectSubset5: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectSubset5,definition,
% 0.30/0.46      ( binintersectSubset5
% 0.30/0.46      = ( ! [A: $i,B: $i,C: $i] :
% 0.30/0.46            ( ( subset @ C @ A )
% 0.30/0.46           => ( ( subset @ C @ B )
% 0.30/0.46             => ( subset @ C @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectEL_type,type,
% 0.30/0.46      binintersectEL: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectEL,definition,
% 0.30/0.46      ( binintersectEL
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 0.30/0.46           => ( in @ Xx @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectLsub_type,type,
% 0.30/0.46      binintersectLsub: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectLsub,definition,
% 0.30/0.46      ( binintersectLsub
% 0.30/0.46      = ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ A ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectSubset2_type,type,
% 0.30/0.46      binintersectSubset2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectSubset2,definition,
% 0.30/0.46      ( binintersectSubset2
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( subset @ A @ B )
% 0.30/0.46           => ( ( binintersect @ A @ B )
% 0.30/0.46              = A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectSubset3_type,type,
% 0.30/0.46      binintersectSubset3: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectSubset3,definition,
% 0.30/0.46      ( binintersectSubset3
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( ( binintersect @ A @ B )
% 0.30/0.46              = B )
% 0.30/0.46           => ( subset @ B @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectER_type,type,
% 0.30/0.46      binintersectER: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectER,definition,
% 0.30/0.46      ( binintersectER
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 0.30/0.46           => ( in @ Xx @ B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(disjointsetsI1_type,type,
% 0.30/0.46      disjointsetsI1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(disjointsetsI1,definition,
% 0.30/0.46      ( disjointsetsI1
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ~ ? [Xx: $i] :
% 0.30/0.46                  ( ( in @ Xx @ A )
% 0.30/0.46                  & ( in @ Xx @ B ) )
% 0.30/0.46           => ( ( binintersect @ A @ B )
% 0.30/0.46              = emptyset ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectRsub_type,type,
% 0.30/0.46      binintersectRsub: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectRsub,definition,
% 0.30/0.46      ( binintersectRsub
% 0.30/0.46      = ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ B ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectSubset4_type,type,
% 0.30/0.46      binintersectSubset4: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectSubset4,definition,
% 0.30/0.46      ( binintersectSubset4
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( subset @ B @ A )
% 0.30/0.46           => ( ( binintersect @ A @ B )
% 0.30/0.46              = B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectSubset1_type,type,
% 0.30/0.46      binintersectSubset1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectSubset1,definition,
% 0.30/0.46      ( binintersectSubset1
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( ( binintersect @ A @ B )
% 0.30/0.46              = A )
% 0.30/0.46           => ( subset @ A @ B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(bs114d_type,type,
% 0.30/0.46      bs114d: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(bs114d,definition,
% 0.30/0.46      ( bs114d
% 0.30/0.46      = ( ! [A: $i,B: $i,C: $i] :
% 0.30/0.46            ( ( binintersect @ A @ ( binunion @ B @ C ) )
% 0.30/0.46            = ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(regular_type,type,
% 0.30/0.46      regular: $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setminus_type,type,
% 0.30/0.46      setminus: $i > $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusI_type,type,
% 0.30/0.46      setminusI: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusI,definition,
% 0.30/0.46      ( setminusI
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( ~ ( in @ Xx @ B )
% 0.30/0.46             => ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusEL_type,type,
% 0.30/0.46      setminusEL: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusEL,definition,
% 0.30/0.46      ( setminusEL
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ ( setminus @ A @ B ) )
% 0.30/0.46           => ( in @ Xx @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusER_type,type,
% 0.30/0.46      setminusER: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusER,definition,
% 0.30/0.46      ( setminusER
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ ( setminus @ A @ B ) )
% 0.30/0.46           => ~ ( in @ Xx @ B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusSubset2_type,type,
% 0.30/0.46      setminusSubset2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusSubset2,definition,
% 0.30/0.46      ( setminusSubset2
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( subset @ A @ B )
% 0.30/0.46           => ( ( setminus @ A @ B )
% 0.30/0.46              = emptyset ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusERneg_type,type,
% 0.30/0.46      setminusERneg: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusERneg,definition,
% 0.30/0.46      ( setminusERneg
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ~ ( in @ Xx @ ( setminus @ A @ B ) )
% 0.30/0.46           => ( ( in @ Xx @ A )
% 0.30/0.46             => ( in @ Xx @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusELneg_type,type,
% 0.30/0.46      setminusELneg: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusELneg,definition,
% 0.30/0.46      ( setminusELneg
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ~ ( in @ Xx @ ( setminus @ A @ B ) )
% 0.30/0.46           => ( ~ ( in @ Xx @ B )
% 0.30/0.46             => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusILneg_type,type,
% 0.30/0.46      setminusILneg: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusILneg,definition,
% 0.30/0.46      ( setminusILneg
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ~ ( in @ Xx @ A )
% 0.30/0.46           => ~ ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusIRneg_type,type,
% 0.30/0.46      setminusIRneg: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusIRneg,definition,
% 0.30/0.46      ( setminusIRneg
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ B )
% 0.30/0.46           => ~ ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusLsub_type,type,
% 0.30/0.46      setminusLsub: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusLsub,definition,
% 0.30/0.46      ( setminusLsub
% 0.30/0.46      = ( ! [A: $i,B: $i] : ( subset @ ( setminus @ A @ B ) @ A ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusSubset1_type,type,
% 0.30/0.46      setminusSubset1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusSubset1,definition,
% 0.30/0.46      ( setminusSubset1
% 0.30/0.46      = ( ! [A: $i,B: $i] :
% 0.30/0.46            ( ( ( setminus @ A @ B )
% 0.30/0.46              = emptyset )
% 0.30/0.46           => ( subset @ A @ B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(symdiff_type,type,
% 0.30/0.46      symdiff: $i > $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(symdiffE_type,type,
% 0.30/0.46      symdiffE: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(symdiffE,definition,
% 0.30/0.46      ( symdiffE
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ ( symdiff @ A @ B ) )
% 0.30/0.46           => ! [Xphi: $o] :
% 0.30/0.46                ( ( ( in @ Xx @ A )
% 0.30/0.46                 => ( ~ ( in @ Xx @ B )
% 0.30/0.46                   => Xphi ) )
% 0.30/0.46               => ( ( ~ ( in @ Xx @ A )
% 0.30/0.46                   => ( ( in @ Xx @ B )
% 0.30/0.46                     => Xphi ) )
% 0.30/0.46                 => Xphi ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(symdiffI1_type,type,
% 0.30/0.46      symdiffI1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(symdiffI1,definition,
% 0.30/0.46      ( symdiffI1
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( ~ ( in @ Xx @ B )
% 0.30/0.46             => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(symdiffI2_type,type,
% 0.30/0.46      symdiffI2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(symdiffI2,definition,
% 0.30/0.46      ( symdiffI2
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ~ ( in @ Xx @ A )
% 0.30/0.46           => ( ( in @ Xx @ B )
% 0.30/0.46             => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(symdiffIneg1_type,type,
% 0.30/0.46      symdiffIneg1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(symdiffIneg1,definition,
% 0.30/0.46      ( symdiffIneg1
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( ( in @ Xx @ B )
% 0.30/0.46             => ~ ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(symdiffIneg2_type,type,
% 0.30/0.46      symdiffIneg2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(symdiffIneg2,definition,
% 0.30/0.46      ( symdiffIneg2
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ~ ( in @ Xx @ A )
% 0.30/0.46           => ( ~ ( in @ Xx @ B )
% 0.30/0.46             => ~ ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(iskpair_type,type,
% 0.30/0.46      iskpair: $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(secondinupair_type,type,
% 0.30/0.46      secondinupair: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(secondinupair,definition,
% 0.30/0.46      ( secondinupair
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairIL_type,type,
% 0.30/0.46      setukpairIL: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairIL,definition,
% 0.30/0.46      ( setukpairIL
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setunion @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairIR_type,type,
% 0.30/0.46      setukpairIR: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairIR,definition,
% 0.30/0.46      ( setukpairIR
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setunion @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(kpairiskpair_type,type,
% 0.30/0.46      kpairiskpair: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(kpairiskpair,definition,
% 0.30/0.46      ( kpairiskpair
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] : ( iskpair @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(kpair_type,type,
% 0.30/0.46      kpair: $i > $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(kpairp_type,type,
% 0.30/0.46      kpairp: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(kpairp,definition,
% 0.30/0.46      ( kpairp
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] : ( iskpair @ ( kpair @ Xx @ Xy ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprod_type,type,
% 0.30/0.46      cartprod: $i > $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(singletonsubset_type,type,
% 0.30/0.46      singletonsubset: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(singletonsubset,definition,
% 0.30/0.46      ( singletonsubset
% 0.30/0.46      = ( ! [A: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(singletoninpowerset_type,type,
% 0.30/0.46      singletoninpowerset: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(singletoninpowerset,definition,
% 0.30/0.46      ( singletoninpowerset
% 0.30/0.46      = ( ! [A: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(singletoninpowunion_type,type,
% 0.30/0.46      singletoninpowunion: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(singletoninpowunion,definition,
% 0.30/0.46      ( singletoninpowunion
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(upairset2E_type,type,
% 0.30/0.46      upairset2E: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(upairset2E,definition,
% 0.30/0.46      ( upairset2E
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.30/0.46            ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 0.30/0.46           => ( ( Xz = Xx )
% 0.30/0.46              | ( Xz = Xy ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(upairsubunion_type,type,
% 0.30/0.46      upairsubunion: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(upairsubunion,definition,
% 0.30/0.46      ( upairsubunion
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ B )
% 0.30/0.46               => ( subset @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ ( binunion @ A @ B ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(upairinpowunion_type,type,
% 0.30/0.46      upairinpowunion: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(upairinpowunion,definition,
% 0.30/0.46      ( upairinpowunion
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ B )
% 0.30/0.46               => ( in @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(ubforcartprodlem1_type,type,
% 0.30/0.46      ubforcartprodlem1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ubforcartprodlem1,definition,
% 0.30/0.46      ( ubforcartprodlem1
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ B )
% 0.30/0.46               => ( subset @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(ubforcartprodlem2_type,type,
% 0.30/0.46      ubforcartprodlem2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ubforcartprodlem2,definition,
% 0.30/0.46      ( ubforcartprodlem2
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ B )
% 0.30/0.46               => ( in @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(ubforcartprodlem3_type,type,
% 0.30/0.46      ubforcartprodlem3: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ubforcartprodlem3,definition,
% 0.30/0.46      ( ubforcartprodlem3
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ B )
% 0.30/0.46               => ( in @ ( kpair @ Xx @ Xy ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodpairin_type,type,
% 0.30/0.46      cartprodpairin: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodpairin,definition,
% 0.30/0.46      ( cartprodpairin
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ B )
% 0.30/0.46               => ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodmempair1_type,type,
% 0.30/0.46      cartprodmempair1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodmempair1,definition,
% 0.30/0.46      ( cartprodmempair1
% 0.30/0.46      = ( ! [A: $i,B: $i,Xu: $i] :
% 0.30/0.46            ( ( in @ Xu @ ( cartprod @ A @ B ) )
% 0.30/0.46           => ? [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46                & ? [Xy: $i] :
% 0.30/0.46                    ( ( in @ Xy @ B )
% 0.30/0.46                    & ( Xu
% 0.30/0.46                      = ( kpair @ Xx @ Xy ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodmempair_type,type,
% 0.30/0.46      cartprodmempair: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodmempair,definition,
% 0.30/0.46      ( cartprodmempair
% 0.30/0.46      = ( ! [A: $i,B: $i,Xu: $i] :
% 0.30/0.46            ( ( in @ Xu @ ( cartprod @ A @ B ) )
% 0.30/0.46           => ( iskpair @ Xu ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setunionE2_type,type,
% 0.30/0.46      setunionE2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setunionE2,definition,
% 0.30/0.46      ( setunionE2
% 0.30/0.46      = ( ! [A: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ ( setunion @ A ) )
% 0.30/0.46           => ? [X: $i] :
% 0.30/0.46                ( ( in @ X @ A )
% 0.30/0.46                & ( in @ Xx @ X ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setunionsingleton1_type,type,
% 0.30/0.46      setunionsingleton1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setunionsingleton1,definition,
% 0.30/0.46      ( setunionsingleton1
% 0.30/0.46      = ( ! [A: $i] : ( subset @ ( setunion @ ( setadjoin @ A @ emptyset ) ) @ A ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setunionsingleton2_type,type,
% 0.30/0.46      setunionsingleton2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setunionsingleton2,definition,
% 0.30/0.46      ( setunionsingleton2
% 0.30/0.46      = ( ! [A: $i] : ( subset @ A @ ( setunion @ ( setadjoin @ A @ emptyset ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setunionsingleton_type,type,
% 0.30/0.46      setunionsingleton: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setunionsingleton,definition,
% 0.30/0.46      ( setunionsingleton
% 0.30/0.46      = ( ! [Xx: $i] :
% 0.30/0.46            ( ( setunion @ ( setadjoin @ Xx @ emptyset ) )
% 0.30/0.46            = Xx ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(singleton_type,type,
% 0.30/0.46      singleton: $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(singletonprop_type,type,
% 0.30/0.46      singletonprop: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(singletonprop,definition,
% 0.30/0.46      ( singletonprop
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ! [Xy: $i] :
% 0.30/0.46                    ( ( in @ Xy @ A )
% 0.30/0.46                   => ( ( Xphi @ Xx )
% 0.30/0.46                     => ( ( Xphi @ Xy )
% 0.30/0.46                       => ( Xx = Xy ) ) ) ) )
% 0.30/0.46           => ( ? [Xx: $i] :
% 0.30/0.46                  ( ( in @ Xx @ A )
% 0.30/0.46                  & ( Xphi @ Xx ) )
% 0.30/0.46             => ( singleton
% 0.30/0.46                @ ( dsetconstr @ A
% 0.30/0.46                  @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(ex1_type,type,
% 0.30/0.46      ex1: $i > ( $i > $o ) > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ex1E1_type,type,
% 0.30/0.46      ex1E1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ex1E1,definition,
% 0.30/0.46      ( ex1E1
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.46            ( ( ex1 @ A
% 0.30/0.46              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46           => ? [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46                & ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(ex1I_type,type,
% 0.30/0.46      ex1I: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ex1I,definition,
% 0.30/0.46      ( ex1I
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ( ( Xphi @ Xx )
% 0.30/0.46             => ( ! [Xy: $i] :
% 0.30/0.46                    ( ( in @ Xy @ A )
% 0.30/0.46                   => ( ( Xphi @ Xy )
% 0.30/0.46                     => ( Xy = Xx ) ) )
% 0.30/0.46               => ( ex1 @ A
% 0.30/0.46                  @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(ex1I2_type,type,
% 0.30/0.46      ex1I2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ex1I2,definition,
% 0.30/0.46      ( ex1I2
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ! [Xy: $i] :
% 0.30/0.46                    ( ( in @ Xy @ A )
% 0.30/0.46                   => ( ( Xphi @ Xx )
% 0.30/0.46                     => ( ( Xphi @ Xy )
% 0.30/0.46                       => ( Xx = Xy ) ) ) ) )
% 0.30/0.46           => ( ? [Xx: $i] :
% 0.30/0.46                  ( ( in @ Xx @ A )
% 0.30/0.46                  & ( Xphi @ Xx ) )
% 0.30/0.46             => ( ex1 @ A
% 0.30/0.46                @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(singletonsuniq_type,type,
% 0.30/0.46      singletonsuniq: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(singletonsuniq,definition,
% 0.30/0.46      ( singletonsuniq
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( ( setadjoin @ Xx @ emptyset )
% 0.30/0.46              = ( setadjoin @ Xy @ emptyset ) )
% 0.30/0.46           => ( Xx = Xy ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(atmost1p_type,type,
% 0.30/0.46      atmost1p: $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(atleast2p_type,type,
% 0.30/0.46      atleast2p: $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(atmost2p_type,type,
% 0.30/0.46      atmost2p: $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(upairsetp_type,type,
% 0.30/0.46      upairsetp: $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjL1_type,type,
% 0.30/0.46      setukpairinjL1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjL1,definition,
% 0.30/0.46      ( setukpairinjL1
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.30/0.46            ( ( in @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) )
% 0.30/0.46           => ( Xx = Xz ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(kfstsingleton_type,type,
% 0.30/0.46      kfstsingleton: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(kfstsingleton,definition,
% 0.30/0.46      ( kfstsingleton
% 0.30/0.46      = ( ! [Xu: $i] :
% 0.30/0.46            ( ( iskpair @ Xu )
% 0.30/0.46           => ( singleton
% 0.30/0.46              @ ( dsetconstr @ ( setunion @ Xu )
% 0.30/0.46                @ ^ [Xx: $i] : ( in @ ( setadjoin @ Xx @ emptyset ) @ Xu ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(theprop_type,type,
% 0.30/0.46      theprop: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(theprop,definition,
% 0.30/0.46      ( theprop
% 0.30/0.46      = ( ! [X: $i] :
% 0.30/0.46            ( ( singleton @ X )
% 0.30/0.46           => ( in @ ( setunion @ X ) @ X ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(kfst_type,type,
% 0.30/0.46      kfst: $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(kfstpairEq_type,type,
% 0.30/0.46      kfstpairEq: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(kfstpairEq,definition,
% 0.30/0.46      ( kfstpairEq
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( kfst @ ( kpair @ Xx @ Xy ) )
% 0.30/0.46            = Xx ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodfstin_type,type,
% 0.30/0.46      cartprodfstin: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodfstin,definition,
% 0.30/0.46      ( cartprodfstin
% 0.30/0.46      = ( ! [A: $i,B: $i,Xu: $i] :
% 0.30/0.46            ( ( in @ Xu @ ( cartprod @ A @ B ) )
% 0.30/0.46           => ( in @ ( kfst @ Xu ) @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjL2_type,type,
% 0.30/0.46      setukpairinjL2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjL2,definition,
% 0.30/0.46      ( setukpairinjL2
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
% 0.30/0.46            ( ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
% 0.30/0.46              = ( setadjoin @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) )
% 0.30/0.46           => ( Xx = Xz ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjL_type,type,
% 0.30/0.46      setukpairinjL: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjL,definition,
% 0.30/0.46      ( setukpairinjL
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
% 0.30/0.46            ( ( ( kpair @ Xx @ Xy )
% 0.30/0.46              = ( kpair @ Xz @ Xu ) )
% 0.30/0.46           => ( Xx = Xz ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjR11_type,type,
% 0.30/0.46      setukpairinjR11: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjR11,definition,
% 0.30/0.46      ( setukpairinjR11
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( Xx = Xy )
% 0.30/0.46           => ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.30/0.46              = ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjR12_type,type,
% 0.30/0.46      setukpairinjR12: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjR12,definition,
% 0.30/0.46      ( setukpairinjR12
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( Xx = Xy )
% 0.30/0.46           => ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
% 0.30/0.46              = ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ emptyset ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjR1_type,type,
% 0.30/0.46      setukpairinjR1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjR1,definition,
% 0.30/0.46      ( setukpairinjR1
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
% 0.30/0.46            ( ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
% 0.30/0.46              = ( setadjoin @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) )
% 0.30/0.46           => ( ( Xz = Xu )
% 0.30/0.46             => ( Xy = Xu ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(upairequniteq_type,type,
% 0.30/0.46      upairequniteq: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(upairequniteq,definition,
% 0.30/0.46      ( upairequniteq
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.30/0.46            ( ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.30/0.46              = ( setadjoin @ Xz @ emptyset ) )
% 0.30/0.46           => ( Xx = Xy ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjR2_type,type,
% 0.30/0.46      setukpairinjR2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjR2,definition,
% 0.30/0.46      ( setukpairinjR2
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
% 0.30/0.46            ( ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
% 0.30/0.46              = ( setadjoin @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) )
% 0.30/0.46           => ( Xy = Xu ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjR_type,type,
% 0.30/0.46      setukpairinjR: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setukpairinjR,definition,
% 0.30/0.46      ( setukpairinjR
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
% 0.30/0.46            ( ( ( kpair @ Xx @ Xy )
% 0.30/0.46              = ( kpair @ Xz @ Xu ) )
% 0.30/0.46           => ( Xy = Xu ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(ksndsingleton_type,type,
% 0.30/0.46      ksndsingleton: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ksndsingleton,definition,
% 0.30/0.46      ( ksndsingleton
% 0.30/0.46      = ( ! [Xu: $i] :
% 0.30/0.46            ( ( iskpair @ Xu )
% 0.30/0.46           => ( singleton
% 0.30/0.46              @ ( dsetconstr @ ( setunion @ Xu )
% 0.30/0.46                @ ^ [Xx: $i] :
% 0.30/0.46                    ( Xu
% 0.30/0.46                    = ( kpair @ ( kfst @ Xu ) @ Xx ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(ksnd_type,type,
% 0.30/0.46      ksnd: $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(ksndpairEq_type,type,
% 0.30/0.46      ksndpairEq: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ksndpairEq,definition,
% 0.30/0.46      ( ksndpairEq
% 0.30/0.46      = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( ksnd @ ( kpair @ Xx @ Xy ) )
% 0.30/0.46            = Xy ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(kpairsurjEq_type,type,
% 0.30/0.46      kpairsurjEq: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(kpairsurjEq,definition,
% 0.30/0.46      ( kpairsurjEq
% 0.30/0.46      = ( ! [Xu: $i] :
% 0.30/0.46            ( ( iskpair @ Xu )
% 0.30/0.46           => ( ( kpair @ ( kfst @ Xu ) @ ( ksnd @ Xu ) )
% 0.30/0.46              = Xu ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodsndin_type,type,
% 0.30/0.46      cartprodsndin: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodsndin,definition,
% 0.30/0.46      ( cartprodsndin
% 0.30/0.46      = ( ! [A: $i,B: $i,Xu: $i] :
% 0.30/0.46            ( ( in @ Xu @ ( cartprod @ A @ B ) )
% 0.30/0.46           => ( in @ ( ksnd @ Xu ) @ B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodpairmemEL_type,type,
% 0.30/0.46      cartprodpairmemEL: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodpairmemEL,definition,
% 0.30/0.46      ( cartprodpairmemEL
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) )
% 0.30/0.46           => ( in @ Xx @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodpairmemER_type,type,
% 0.30/0.46      cartprodpairmemER: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodpairmemER,definition,
% 0.30/0.46      ( cartprodpairmemER
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) )
% 0.30/0.46           => ( in @ Xy @ B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodmempaircEq_type,type,
% 0.30/0.46      cartprodmempaircEq: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodmempaircEq,definition,
% 0.30/0.46      ( cartprodmempaircEq
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ B )
% 0.30/0.46               => ( ( kpair @ Xx @ Xy )
% 0.30/0.46                  = ( kpair @ Xx @ Xy ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodfstpairEq_type,type,
% 0.30/0.46      cartprodfstpairEq: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodfstpairEq,definition,
% 0.30/0.46      ( cartprodfstpairEq
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ B )
% 0.30/0.46               => ( ( kfst @ ( kpair @ Xx @ Xy ) )
% 0.30/0.46                  = Xx ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodsndpairEq_type,type,
% 0.30/0.46      cartprodsndpairEq: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodsndpairEq,definition,
% 0.30/0.46      ( cartprodsndpairEq
% 0.30/0.46      = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ B )
% 0.30/0.46               => ( ( ksnd @ ( kpair @ Xx @ Xy ) )
% 0.30/0.46                  = Xy ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodpairsurjEq_type,type,
% 0.30/0.46      cartprodpairsurjEq: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(cartprodpairsurjEq,definition,
% 0.30/0.46      ( cartprodpairsurjEq
% 0.30/0.46      = ( ! [A: $i,B: $i,Xu: $i] :
% 0.30/0.46            ( ( in @ Xu @ ( cartprod @ A @ B ) )
% 0.30/0.46           => ( ( kpair @ ( kfst @ Xu ) @ ( ksnd @ Xu ) )
% 0.30/0.46              = Xu ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(breln_type,type,
% 0.30/0.46      breln: $i > $i > $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(breln,definition,
% 0.30/0.46      ( breln
% 0.30/0.46      = ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(dpsetconstr_type,type,
% 0.30/0.46      dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(dpsetconstrI_type,type,
% 0.30/0.46      dpsetconstrI: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(dpsetconstrI,definition,
% 0.30/0.46      ( dpsetconstrI
% 0.30/0.46      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ B )
% 0.30/0.46               => ( ( Xphi @ Xx @ Xy )
% 0.30/0.46                 => ( in @ ( kpair @ Xx @ Xy )
% 0.30/0.46                    @ ( dpsetconstr @ A @ B
% 0.30/0.46                      @ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(dpsetconstrSub_type,type,
% 0.30/0.46      dpsetconstrSub: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(dpsetconstrSub,definition,
% 0.30/0.46      ( dpsetconstrSub
% 0.30/0.46      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o] :
% 0.30/0.46            ( subset
% 0.30/0.46            @ ( dpsetconstr @ A @ B
% 0.30/0.46              @ ^ [Xx: $i,Xy: $i] : ( Xphi @ Xx @ Xy ) )
% 0.30/0.46            @ ( cartprod @ A @ B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setOfPairsIsBReln_type,type,
% 0.30/0.46      setOfPairsIsBReln: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setOfPairsIsBReln,definition,
% 0.30/0.46      ( setOfPairsIsBReln
% 0.30/0.46      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o] :
% 0.30/0.46            ( breln @ A @ B
% 0.30/0.46            @ ( dpsetconstr @ A @ B
% 0.30/0.46              @ ^ [Xx: $i,Xy: $i] : ( Xphi @ Xx @ Xy ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(dpsetconstrERa_type,type,
% 0.30/0.46      dpsetconstrERa: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(dpsetconstrERa,definition,
% 0.30/0.46      ( dpsetconstrERa
% 0.30/0.46      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ B )
% 0.30/0.46               => ( ( in @ ( kpair @ Xx @ Xy )
% 0.30/0.46                    @ ( dpsetconstr @ A @ B
% 0.30/0.46                      @ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) )
% 0.30/0.46                 => ( Xphi @ Xx @ Xy ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(dpsetconstrEL1_type,type,
% 0.30/0.46      dpsetconstrEL1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(dpsetconstrEL1,definition,
% 0.30/0.46      ( dpsetconstrEL1
% 0.30/0.46      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( in @ ( kpair @ Xx @ Xy )
% 0.30/0.46              @ ( dpsetconstr @ A @ B
% 0.30/0.46                @ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) )
% 0.30/0.46           => ( in @ Xx @ A ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(dpsetconstrEL2_type,type,
% 0.30/0.46      dpsetconstrEL2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(dpsetconstrEL2,definition,
% 0.30/0.46      ( dpsetconstrEL2
% 0.30/0.46      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( in @ ( kpair @ Xx @ Xy )
% 0.30/0.46              @ ( dpsetconstr @ A @ B
% 0.30/0.46                @ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) )
% 0.30/0.46           => ( in @ Xy @ B ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(dpsetconstrER_type,type,
% 0.30/0.46      dpsetconstrER: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(dpsetconstrER,definition,
% 0.30/0.46      ( dpsetconstrER
% 0.30/0.46      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i,Xy: $i] :
% 0.30/0.46            ( ( in @ ( kpair @ Xx @ Xy )
% 0.30/0.46              @ ( dpsetconstr @ A @ B
% 0.30/0.46                @ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) )
% 0.30/0.46           => ( Xphi @ Xx @ Xy ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(func_type,type,
% 0.30/0.46      func: $i > $i > $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(funcSet_type,type,
% 0.30/0.46      funcSet: $i > $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(funcImageSingleton_type,type,
% 0.30/0.46      funcImageSingleton: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(funcImageSingleton,definition,
% 0.30/0.46      ( funcImageSingleton
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( func @ A @ B @ Xf )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( singleton
% 0.30/0.46                  @ ( dsetconstr @ B
% 0.30/0.46                    @ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(apProp_type,type,
% 0.30/0.46      apProp: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(apProp,definition,
% 0.30/0.46      ( apProp
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( func @ A @ B @ Xf )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( in
% 0.30/0.46                  @ ( setunion
% 0.30/0.46                    @ ( dsetconstr @ B
% 0.30/0.46                      @ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) )
% 0.30/0.46                  @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(ap_type,type,
% 0.30/0.46      ap: $i > $i > $i > $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(app_type,type,
% 0.30/0.46      app: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(app,definition,
% 0.30/0.46      ( app
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( func @ A @ B @ Xf )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( in @ ( ap @ A @ B @ Xf @ Xx ) @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(infuncsetfunc_type,type,
% 0.30/0.46      infuncsetfunc: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(infuncsetfunc,definition,
% 0.30/0.46      ( infuncsetfunc
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( in @ Xf @ ( funcSet @ A @ B ) )
% 0.30/0.46           => ( func @ A @ B @ Xf ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(ap2p_type,type,
% 0.30/0.46      ap2p: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ap2p,definition,
% 0.30/0.46      ( ap2p
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( in @ Xf @ ( funcSet @ A @ B ) )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( in @ ( ap @ A @ B @ Xf @ Xx ) @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(funcinfuncset_type,type,
% 0.30/0.46      funcinfuncset: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(funcinfuncset,definition,
% 0.30/0.46      ( funcinfuncset
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( func @ A @ B @ Xf )
% 0.30/0.46           => ( in @ Xf @ ( funcSet @ A @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(lamProp_type,type,
% 0.30/0.46      lamProp: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(lamProp,definition,
% 0.30/0.46      ( lamProp
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i > $i] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( in @ ( Xf @ Xx ) @ B ) )
% 0.30/0.46           => ( func @ A @ B
% 0.30/0.46              @ ( dpsetconstr @ A @ B
% 0.30/0.46                @ ^ [Xx: $i,Xy: $i] :
% 0.30/0.46                    ( ( Xf @ Xx )
% 0.30/0.46                    = Xy ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(lam_type,type,
% 0.30/0.46      lam: $i > $i > ( $i > $i ) > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(lamp_type,type,
% 0.30/0.46      lamp: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(lamp,definition,
% 0.30/0.46      ( lamp
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i > $i] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( in @ ( Xf @ Xx ) @ B ) )
% 0.30/0.46           => ( func @ A @ B
% 0.30/0.46              @ ( lam @ A @ B
% 0.30/0.46                @ ^ [Xx: $i] : ( Xf @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(lam2p_type,type,
% 0.30/0.46      lam2p: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(lam2p,definition,
% 0.30/0.46      ( lam2p
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i > $i] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( in @ ( Xf @ Xx ) @ B ) )
% 0.30/0.46           => ( in
% 0.30/0.46              @ ( lam @ A @ B
% 0.30/0.46                @ ^ [Xx: $i] : ( Xf @ Xx ) )
% 0.30/0.46              @ ( funcSet @ A @ B ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(brelnall1_type,type,
% 0.30/0.46      brelnall1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(brelnall1,definition,
% 0.30/0.46      ( brelnall1
% 0.30/0.46      = ( ! [A: $i,B: $i,R: $i] :
% 0.30/0.46            ( ( breln @ A @ B @ R )
% 0.30/0.46           => ! [Xphi: $i > $o] :
% 0.30/0.46                ( ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ! [Xy: $i] :
% 0.30/0.46                        ( ( in @ Xy @ B )
% 0.30/0.46                       => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 0.30/0.46                         => ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ R )
% 0.30/0.46                   => ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(brelnall2_type,type,
% 0.30/0.46      brelnall2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(brelnall2,definition,
% 0.30/0.46      ( brelnall2
% 0.30/0.46      = ( ! [A: $i,B: $i,R: $i] :
% 0.30/0.46            ( ( breln @ A @ B @ R )
% 0.30/0.46           => ! [Xphi: $i > $o] :
% 0.30/0.46                ( ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ! [Xy: $i] :
% 0.30/0.46                        ( ( in @ Xy @ B )
% 0.30/0.46                       => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 0.30/0.46                         => ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ R )
% 0.30/0.46                   => ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(ex1E2_type,type,
% 0.30/0.46      ex1E2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ex1E2,definition,
% 0.30/0.46      ( ex1E2
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.46            ( ( ex1 @ A
% 0.30/0.46              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ! [Xy: $i] :
% 0.30/0.46                    ( ( in @ Xy @ A )
% 0.30/0.46                   => ( ( Xphi @ Xx )
% 0.30/0.46                     => ( ( Xphi @ Xy )
% 0.30/0.46                       => ( Xx = Xy ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(funcGraphProp1_type,type,
% 0.30/0.46      funcGraphProp1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(funcGraphProp1,definition,
% 0.30/0.46      ( funcGraphProp1
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( func @ A @ B @ Xf )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( in @ ( kpair @ Xx @ ( ap @ A @ B @ Xf @ Xx ) ) @ Xf ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(funcGraphProp3_type,type,
% 0.30/0.46      funcGraphProp3: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(funcGraphProp3,definition,
% 0.30/0.46      ( funcGraphProp3
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( in @ Xf @ ( funcSet @ A @ B ) )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( in @ ( kpair @ Xx @ ( ap @ A @ B @ Xf @ Xx ) ) @ Xf ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(funcGraphProp2_type,type,
% 0.30/0.46      funcGraphProp2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(funcGraphProp2,definition,
% 0.30/0.46      ( funcGraphProp2
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( func @ A @ B @ Xf )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ! [Xy: $i] :
% 0.30/0.46                    ( ( in @ Xy @ B )
% 0.30/0.46                   => ( ( in @ ( kpair @ Xx @ Xy ) @ Xf )
% 0.30/0.46                     => ( ( ap @ A @ B @ Xf @ Xx )
% 0.30/0.46                        = Xy ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(funcextLem_type,type,
% 0.30/0.46      funcextLem: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(funcextLem,definition,
% 0.30/0.46      ( funcextLem
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( func @ A @ B @ Xf )
% 0.30/0.46           => ! [Xg: $i] :
% 0.30/0.46                ( ( func @ A @ B @ Xg )
% 0.30/0.46               => ( ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ A )
% 0.30/0.46                     => ( ( ap @ A @ B @ Xf @ Xx )
% 0.30/0.46                        = ( ap @ A @ B @ Xg @ Xx ) ) )
% 0.30/0.46                 => ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ A )
% 0.30/0.46                     => ! [Xy: $i] :
% 0.30/0.46                          ( ( in @ Xy @ B )
% 0.30/0.46                         => ( ( in @ ( kpair @ Xx @ Xy ) @ Xg )
% 0.30/0.46                           => ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(funcGraphProp4_type,type,
% 0.30/0.46      funcGraphProp4: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(funcGraphProp4,definition,
% 0.30/0.46      ( funcGraphProp4
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( in @ Xf @ ( funcSet @ A @ B ) )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ! [Xy: $i] :
% 0.30/0.46                    ( ( in @ Xy @ B )
% 0.30/0.46                   => ( ( in @ ( kpair @ Xx @ Xy ) @ Xf )
% 0.30/0.46                     => ( ( ap @ A @ B @ Xf @ Xx )
% 0.30/0.46                        = Xy ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(subbreln_type,type,
% 0.30/0.46      subbreln: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(subbreln,definition,
% 0.30/0.46      ( subbreln
% 0.30/0.46      = ( ! [A: $i,B: $i,R: $i] :
% 0.30/0.46            ( ( breln @ A @ B @ R )
% 0.30/0.46           => ! [S: $i] :
% 0.30/0.46                ( ( breln @ A @ B @ S )
% 0.30/0.46               => ( ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ A )
% 0.30/0.46                     => ! [Xy: $i] :
% 0.30/0.46                          ( ( in @ Xy @ B )
% 0.30/0.46                         => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 0.30/0.46                           => ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) )
% 0.30/0.46                 => ( subset @ R @ S ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(eqbreln_type,type,
% 0.30/0.46      eqbreln: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(eqbreln,definition,
% 0.30/0.46      ( eqbreln
% 0.30/0.46      = ( ! [A: $i,B: $i,R: $i] :
% 0.30/0.46            ( ( breln @ A @ B @ R )
% 0.30/0.46           => ! [S: $i] :
% 0.30/0.46                ( ( breln @ A @ B @ S )
% 0.30/0.46               => ( ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ A )
% 0.30/0.46                     => ! [Xy: $i] :
% 0.30/0.46                          ( ( in @ Xy @ B )
% 0.30/0.46                         => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 0.30/0.46                           => ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) )
% 0.30/0.46                 => ( ! [Xx: $i] :
% 0.30/0.46                        ( ( in @ Xx @ A )
% 0.30/0.46                       => ! [Xy: $i] :
% 0.30/0.46                            ( ( in @ Xy @ B )
% 0.30/0.46                           => ( ( in @ ( kpair @ Xx @ Xy ) @ S )
% 0.30/0.46                             => ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) )
% 0.30/0.46                   => ( R = S ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(funcext_type,type,
% 0.30/0.46      funcext: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(funcext,definition,
% 0.30/0.46      ( funcext
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( func @ A @ B @ Xf )
% 0.30/0.46           => ! [Xg: $i] :
% 0.30/0.46                ( ( func @ A @ B @ Xg )
% 0.30/0.46               => ( ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ A )
% 0.30/0.46                     => ( ( ap @ A @ B @ Xf @ Xx )
% 0.30/0.46                        = ( ap @ A @ B @ Xg @ Xx ) ) )
% 0.30/0.46                 => ( Xf = Xg ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(funcext2_type,type,
% 0.30/0.46      funcext2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(funcext2,definition,
% 0.30/0.46      ( funcext2
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( in @ Xf @ ( funcSet @ A @ B ) )
% 0.30/0.46           => ! [Xg: $i] :
% 0.30/0.46                ( ( in @ Xg @ ( funcSet @ A @ B ) )
% 0.30/0.46               => ( ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ A )
% 0.30/0.46                     => ( ( ap @ A @ B @ Xf @ Xx )
% 0.30/0.46                        = ( ap @ A @ B @ Xg @ Xx ) ) )
% 0.30/0.46                 => ( Xf = Xg ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(ap2apEq1_type,type,
% 0.30/0.46      ap2apEq1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ap2apEq1,definition,
% 0.30/0.46      ( ap2apEq1
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( in @ Xf @ ( funcSet @ A @ B ) )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( ( ap @ A @ B @ Xf @ Xx )
% 0.30/0.46                  = ( ap @ A @ B @ Xf @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(ap2apEq2_type,type,
% 0.30/0.46      ap2apEq2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ap2apEq2,definition,
% 0.30/0.46      ( ap2apEq2
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( func @ A @ B @ Xf )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( ( ap @ A @ B @ Xf @ Xx )
% 0.30/0.46                  = ( ap @ A @ B @ Xf @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(beta1_type,type,
% 0.30/0.46      beta1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(beta1,definition,
% 0.30/0.46      ( beta1
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i > $i] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( in @ ( Xf @ Xx ) @ B ) )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( ( ap @ A @ B
% 0.30/0.46                    @ ( lam @ A @ B
% 0.30/0.46                      @ ^ [Xy: $i] : ( Xf @ Xy ) )
% 0.30/0.46                    @ Xx )
% 0.30/0.46                  = ( Xf @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(eta1_type,type,
% 0.30/0.46      eta1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(eta1,definition,
% 0.30/0.46      ( eta1
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( func @ A @ B @ Xf )
% 0.30/0.46           => ( ( lam @ A @ B
% 0.30/0.46                @ ^ [Xx: $i] : ( ap @ A @ B @ Xf @ Xx ) )
% 0.30/0.46              = Xf ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(lam2lamEq_type,type,
% 0.30/0.46      lam2lamEq: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(lam2lamEq,definition,
% 0.30/0.46      ( lam2lamEq
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i > $i] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( in @ ( Xf @ Xx ) @ B ) )
% 0.30/0.46           => ( ( lam @ A @ B
% 0.30/0.46                @ ^ [Xx: $i] : ( Xf @ Xx ) )
% 0.30/0.46              = ( lam @ A @ B
% 0.30/0.46                @ ^ [Xx: $i] : ( Xf @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(beta2_type,type,
% 0.30/0.46      beta2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(beta2,definition,
% 0.30/0.46      ( beta2
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i > $i] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( in @ ( Xf @ Xx ) @ B ) )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( ( ap @ A @ B
% 0.30/0.46                    @ ( lam @ A @ B
% 0.30/0.46                      @ ^ [Xy: $i] : ( Xf @ Xy ) )
% 0.30/0.46                    @ Xx )
% 0.30/0.46                  = ( Xf @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(eta2_type,type,
% 0.30/0.46      eta2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(eta2,definition,
% 0.30/0.46      ( eta2
% 0.30/0.46      = ( ! [A: $i,B: $i,Xf: $i] :
% 0.30/0.46            ( ( in @ Xf @ ( funcSet @ A @ B ) )
% 0.30/0.46           => ( ( lam @ A @ B
% 0.30/0.46                @ ^ [Xx: $i] : ( ap @ A @ B @ Xf @ Xx ) )
% 0.30/0.46              = Xf ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(iffalseProp1_type,type,
% 0.30/0.46      iffalseProp1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(iffalseProp1,definition,
% 0.30/0.46      ( iffalseProp1
% 0.30/0.46      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ A )
% 0.30/0.46               => ( ~ Xphi
% 0.30/0.46                 => ( in @ Xy
% 0.30/0.46                    @ ( dsetconstr @ A
% 0.30/0.46                      @ ^ [Xz: $i] :
% 0.30/0.46                          ( ( Xphi
% 0.30/0.46                            & ( Xz = Xx ) )
% 0.30/0.46                          | ( ~ Xphi
% 0.30/0.46                            & ( Xz = Xy ) ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(iffalseProp2_type,type,
% 0.30/0.46      iffalseProp2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(iffalseProp2,definition,
% 0.30/0.46      ( iffalseProp2
% 0.30/0.46      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ A )
% 0.30/0.46               => ( ~ Xphi
% 0.30/0.46                 => ( ( dsetconstr @ A
% 0.30/0.46                      @ ^ [Xz: $i] :
% 0.30/0.46                          ( ( Xphi
% 0.30/0.46                            & ( Xz = Xx ) )
% 0.30/0.46                          | ( ~ Xphi
% 0.30/0.46                            & ( Xz = Xy ) ) ) )
% 0.30/0.46                    = ( setadjoin @ Xy @ emptyset ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(iftrueProp1_type,type,
% 0.30/0.46      iftrueProp1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(iftrueProp1,definition,
% 0.30/0.46      ( iftrueProp1
% 0.30/0.46      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ A )
% 0.30/0.46               => ( Xphi
% 0.30/0.46                 => ( in @ Xx
% 0.30/0.46                    @ ( dsetconstr @ A
% 0.30/0.46                      @ ^ [Xz: $i] :
% 0.30/0.46                          ( ( Xphi
% 0.30/0.46                            & ( Xz = Xx ) )
% 0.30/0.46                          | ( ~ Xphi
% 0.30/0.46                            & ( Xz = Xy ) ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(iftrueProp2_type,type,
% 0.30/0.46      iftrueProp2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(iftrueProp2,definition,
% 0.30/0.46      ( iftrueProp2
% 0.30/0.46      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ A )
% 0.30/0.46               => ( Xphi
% 0.30/0.46                 => ( ( dsetconstr @ A
% 0.30/0.46                      @ ^ [Xz: $i] :
% 0.30/0.46                          ( ( Xphi
% 0.30/0.46                            & ( Xz = Xx ) )
% 0.30/0.46                          | ( ~ Xphi
% 0.30/0.46                            & ( Xz = Xy ) ) ) )
% 0.30/0.46                    = ( setadjoin @ Xx @ emptyset ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(ifSingleton_type,type,
% 0.30/0.46      ifSingleton: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ifSingleton,definition,
% 0.30/0.46      ( ifSingleton
% 0.30/0.46      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ A )
% 0.30/0.46               => ( singleton
% 0.30/0.46                  @ ( dsetconstr @ A
% 0.30/0.46                    @ ^ [Xz: $i] :
% 0.30/0.46                        ( ( Xphi
% 0.30/0.46                          & ( Xz = Xx ) )
% 0.30/0.46                        | ( ~ Xphi
% 0.30/0.46                          & ( Xz = Xy ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(if_type,type,
% 0.30/0.46      if: $i > $o > $i > $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(ifp_type,type,
% 0.30/0.46      ifp: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(ifp,definition,
% 0.30/0.46      ( ifp
% 0.30/0.46      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ A )
% 0.30/0.46               => ( in @ ( if @ A @ Xphi @ Xx @ Xy ) @ A ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(theeq_type,type,
% 0.30/0.46      theeq: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(theeq,definition,
% 0.30/0.46      ( theeq
% 0.30/0.46      = ( ! [X: $i] :
% 0.30/0.46            ( ( singleton @ X )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ X )
% 0.30/0.46               => ( ( setunion @ X )
% 0.30/0.46                  = Xx ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(iftrue_type,type,
% 0.30/0.46      iftrue: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(iftrue,definition,
% 0.30/0.46      ( iftrue
% 0.30/0.46      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ A )
% 0.30/0.46               => ( Xphi
% 0.30/0.46                 => ( ( if @ A @ Xphi @ Xx @ Xy )
% 0.30/0.46                    = Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(iffalse_type,type,
% 0.30/0.46      iffalse: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(iffalse,definition,
% 0.30/0.46      ( iffalse
% 0.30/0.46      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ A )
% 0.30/0.46               => ( ~ Xphi
% 0.30/0.46                 => ( ( if @ A @ Xphi @ Xx @ Xy )
% 0.30/0.46                    = Xy ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(iftrueorfalse_type,type,
% 0.30/0.46      iftrueorfalse: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(iftrueorfalse,definition,
% 0.30/0.46      ( iftrueorfalse
% 0.30/0.46      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 0.30/0.46            ( ( in @ Xx @ A )
% 0.30/0.46           => ! [Xy: $i] :
% 0.30/0.46                ( ( in @ Xy @ A )
% 0.30/0.46               => ( in @ ( if @ A @ Xphi @ Xx @ Xy ) @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectT_lem_type,type,
% 0.30/0.46      binintersectT_lem: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectT_lem,definition,
% 0.30/0.46      ( binintersectT_lem
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( in @ ( binintersect @ X @ Y ) @ ( powerset @ A ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionT_lem_type,type,
% 0.30/0.46      binunionT_lem: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionT_lem,definition,
% 0.30/0.46      ( binunionT_lem
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( in @ ( binunion @ X @ Y ) @ ( powerset @ A ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetT_lem_type,type,
% 0.30/0.46      powersetT_lem: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetT_lem,definition,
% 0.30/0.46      ( powersetT_lem
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ( in @ ( powerset @ X ) @ ( powerset @ ( powerset @ A ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusT_lem_type,type,
% 0.30/0.46      setminusT_lem: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setminusT_lem,definition,
% 0.30/0.46      ( setminusT_lem
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( in @ ( setminus @ X @ Y ) @ ( powerset @ A ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(complementT_lem_type,type,
% 0.30/0.46      complementT_lem: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(complementT_lem,definition,
% 0.30/0.46      ( complementT_lem
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ( in @ ( setminus @ A @ X ) @ ( powerset @ A ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setextT_type,type,
% 0.30/0.46      setextT: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setextT,definition,
% 0.30/0.46      ( setextT
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ A )
% 0.30/0.46                     => ( ( in @ Xx @ X )
% 0.30/0.46                       => ( in @ Xx @ Y ) ) )
% 0.30/0.46                 => ( ! [Xx: $i] :
% 0.30/0.46                        ( ( in @ Xx @ A )
% 0.30/0.46                       => ( ( in @ Xx @ Y )
% 0.30/0.46                         => ( in @ Xx @ X ) ) )
% 0.30/0.46                   => ( X = Y ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetTI_type,type,
% 0.30/0.46      subsetTI: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(subsetTI,definition,
% 0.30/0.46      ( subsetTI
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ A )
% 0.30/0.46                     => ( ( in @ Xx @ X )
% 0.30/0.46                       => ( in @ Xx @ Y ) ) )
% 0.30/0.46                 => ( subset @ X @ Y ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetTI1_type,type,
% 0.30/0.46      powersetTI1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetTI1,definition,
% 0.30/0.46      ( powersetTI1
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ A )
% 0.30/0.46                     => ( ( in @ Xx @ X )
% 0.30/0.46                       => ( in @ Xx @ Y ) ) )
% 0.30/0.46                 => ( in @ X @ ( powerset @ Y ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetTE1_type,type,
% 0.30/0.46      powersetTE1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(powersetTE1,definition,
% 0.30/0.46      ( powersetTE1
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( in @ X @ ( powerset @ Y ) )
% 0.30/0.46                     => ( ( in @ Xx @ X )
% 0.30/0.46                       => ( in @ Xx @ Y ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(complementTI1_type,type,
% 0.30/0.46      complementTI1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(complementTI1,definition,
% 0.30/0.46      ( complementTI1
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( ( in @ Xx @ X )
% 0.30/0.46                 => ~ ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(complementTE1_type,type,
% 0.30/0.46      complementTE1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(complementTE1,definition,
% 0.30/0.46      ( complementTE1
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( ~ ( in @ Xx @ ( setminus @ A @ X ) )
% 0.30/0.46                 => ( in @ Xx @ X ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectTELcontra_type,type,
% 0.30/0.46      binintersectTELcontra: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectTELcontra,definition,
% 0.30/0.46      ( binintersectTELcontra
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ~ ( in @ Xx @ X )
% 0.30/0.46                     => ~ ( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectTERcontra_type,type,
% 0.30/0.46      binintersectTERcontra: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binintersectTERcontra,definition,
% 0.30/0.46      ( binintersectTERcontra
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ~ ( in @ Xx @ Y )
% 0.30/0.46                     => ~ ( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(contrasubsetT_type,type,
% 0.30/0.46      contrasubsetT: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(contrasubsetT,definition,
% 0.30/0.46      ( contrasubsetT
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( subset @ X @ ( setminus @ A @ Y ) )
% 0.30/0.46                     => ( ( in @ Xx @ Y )
% 0.30/0.46                       => ~ ( in @ Xx @ X ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(contrasubsetT1_type,type,
% 0.30/0.46      contrasubsetT1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(contrasubsetT1,definition,
% 0.30/0.46      ( contrasubsetT1
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( subset @ X @ Y )
% 0.30/0.46                     => ( ~ ( in @ Xx @ Y )
% 0.30/0.46                       => ~ ( in @ Xx @ X ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(contrasubsetT2_type,type,
% 0.30/0.46      contrasubsetT2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(contrasubsetT2,definition,
% 0.30/0.46      ( contrasubsetT2
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( ( subset @ X @ Y )
% 0.30/0.46                 => ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(contrasubsetT3_type,type,
% 0.30/0.46      contrasubsetT3: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(contrasubsetT3,definition,
% 0.30/0.46      ( contrasubsetT3
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) )
% 0.30/0.46                 => ( subset @ X @ Y ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(doubleComplementI1_type,type,
% 0.30/0.46      doubleComplementI1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(doubleComplementI1,definition,
% 0.30/0.46      ( doubleComplementI1
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( ( in @ Xx @ X )
% 0.30/0.46                 => ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(doubleComplementE1_type,type,
% 0.30/0.46      doubleComplementE1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(doubleComplementE1,definition,
% 0.30/0.46      ( doubleComplementE1
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ( ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) )
% 0.30/0.46                 => ( in @ Xx @ X ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(doubleComplementSub1_type,type,
% 0.30/0.46      doubleComplementSub1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(doubleComplementSub1,definition,
% 0.30/0.46      ( doubleComplementSub1
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ( subset @ X @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(doubleComplementSub2_type,type,
% 0.30/0.46      doubleComplementSub2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(doubleComplementSub2,definition,
% 0.30/0.46      ( doubleComplementSub2
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ( subset @ ( setminus @ A @ ( setminus @ A @ X ) ) @ X ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(doubleComplementEq_type,type,
% 0.30/0.46      doubleComplementEq: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(doubleComplementEq,definition,
% 0.30/0.46      ( doubleComplementEq
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ( X
% 0.30/0.46              = ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(complementTnotintersectT_type,type,
% 0.30/0.46      complementTnotintersectT: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(complementTnotintersectT,definition,
% 0.30/0.46      ( complementTnotintersectT
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( in @ Xx @ ( setminus @ A @ X ) )
% 0.30/0.46                     => ~ ( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(complementImpComplementIntersect_type,type,
% 0.30/0.46      complementImpComplementIntersect: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(complementImpComplementIntersect,definition,
% 0.30/0.46      ( complementImpComplementIntersect
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( in @ Xx @ ( setminus @ A @ X ) )
% 0.30/0.46                     => ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(complementSubsetComplementIntersect_type,type,
% 0.30/0.46      complementSubsetComplementIntersect: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(complementSubsetComplementIntersect,definition,
% 0.30/0.46      ( complementSubsetComplementIntersect
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( subset @ ( setminus @ A @ X ) @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(complementInPowersetComplementIntersect_type,type,
% 0.30/0.46      complementInPowersetComplementIntersect: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(complementInPowersetComplementIntersect,definition,
% 0.30/0.46      ( complementInPowersetComplementIntersect
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( in @ ( setminus @ A @ X ) @ ( powerset @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(contraSubsetComplement_type,type,
% 0.30/0.46      contraSubsetComplement: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(contraSubsetComplement,definition,
% 0.30/0.46      ( contraSubsetComplement
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( ( subset @ X @ ( setminus @ A @ Y ) )
% 0.30/0.46                 => ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ A )
% 0.30/0.46                     => ( ( in @ Xx @ Y )
% 0.30/0.46                       => ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(complementTcontraSubset_type,type,
% 0.30/0.46      complementTcontraSubset: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(complementTcontraSubset,definition,
% 0.30/0.46      ( complementTcontraSubset
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( ( subset @ X @ ( setminus @ A @ Y ) )
% 0.30/0.46                 => ( subset @ Y @ ( setminus @ A @ X ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionTILcontra_type,type,
% 0.30/0.46      binunionTILcontra: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionTILcontra,definition,
% 0.30/0.46      ( binunionTILcontra
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ~ ( in @ Xx @ ( binunion @ X @ Y ) )
% 0.30/0.46                     => ~ ( in @ Xx @ X ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionTIRcontra_type,type,
% 0.30/0.46      binunionTIRcontra: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionTIRcontra,definition,
% 0.30/0.46      ( binunionTIRcontra
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ~ ( in @ Xx @ ( binunion @ X @ Y ) )
% 0.30/0.46                     => ~ ( in @ Xx @ Y ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(inIntersectImpInUnion_type,type,
% 0.30/0.46      inIntersectImpInUnion: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(inIntersectImpInUnion,definition,
% 0.30/0.46      ( inIntersectImpInUnion
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Z: $i] :
% 0.30/0.46                    ( ( in @ Z @ ( powerset @ A ) )
% 0.30/0.46                   => ! [Xx: $i] :
% 0.30/0.46                        ( ( in @ Xx @ A )
% 0.30/0.46                       => ( ( in @ Xx @ ( binintersect @ X @ Y ) )
% 0.30/0.46                         => ( in @ Xx @ ( binunion @ X @ Z ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(inIntersectImpInUnion2_type,type,
% 0.30/0.46      inIntersectImpInUnion2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(inIntersectImpInUnion2,definition,
% 0.30/0.46      ( inIntersectImpInUnion2
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Z: $i] :
% 0.30/0.46                    ( ( in @ Z @ ( powerset @ A ) )
% 0.30/0.46                   => ! [Xx: $i] :
% 0.30/0.46                        ( ( in @ Xx @ A )
% 0.30/0.46                       => ( ( in @ Xx @ ( binintersect @ X @ Y ) )
% 0.30/0.46                         => ( in @ Xx @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(inIntersectImpInIntersectUnions_type,type,
% 0.30/0.46      inIntersectImpInIntersectUnions: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(inIntersectImpInIntersectUnions,definition,
% 0.30/0.46      ( inIntersectImpInIntersectUnions
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Z: $i] :
% 0.30/0.46                    ( ( in @ Z @ ( powerset @ A ) )
% 0.30/0.46                   => ! [Xx: $i] :
% 0.30/0.46                        ( ( in @ Xx @ A )
% 0.30/0.46                       => ( ( in @ Xx @ ( binintersect @ X @ Y ) )
% 0.30/0.46                         => ( in @ Xx @ ( binintersect @ ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(intersectInPowersetIntersectUnions_type,type,
% 0.30/0.46      intersectInPowersetIntersectUnions: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(intersectInPowersetIntersectUnions,definition,
% 0.30/0.46      ( intersectInPowersetIntersectUnions
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Z: $i] :
% 0.30/0.46                    ( ( in @ Z @ ( powerset @ A ) )
% 0.30/0.46                   => ( in @ ( binintersect @ X @ Y ) @ ( powerset @ ( binintersect @ ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(inComplementUnionImpNotIn1_type,type,
% 0.30/0.46      inComplementUnionImpNotIn1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(inComplementUnionImpNotIn1,definition,
% 0.30/0.46      ( inComplementUnionImpNotIn1
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) )
% 0.30/0.46                     => ~ ( in @ Xx @ X ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(inComplementUnionImpInComplement1_type,type,
% 0.30/0.46      inComplementUnionImpInComplement1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(inComplementUnionImpInComplement1,definition,
% 0.30/0.46      ( inComplementUnionImpInComplement1
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) )
% 0.30/0.46                     => ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionTE_type,type,
% 0.30/0.46      binunionTE: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionTE,definition,
% 0.30/0.46      ( binunionTE
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xphi: $o,Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( in @ Xx @ ( binunion @ X @ Y ) )
% 0.30/0.46                     => ( ( ( in @ Xx @ X )
% 0.30/0.46                         => Xphi )
% 0.30/0.46                       => ( ( ( in @ Xx @ Y )
% 0.30/0.46                           => Xphi )
% 0.30/0.46                         => Xphi ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionTEcontra_type,type,
% 0.30/0.46      binunionTEcontra: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(binunionTEcontra,definition,
% 0.30/0.46      ( binunionTEcontra
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ~ ( in @ Xx @ X )
% 0.30/0.46                     => ( ~ ( in @ Xx @ Y )
% 0.30/0.46                       => ~ ( in @ Xx @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan2a1_type,type,
% 0.30/0.46      demorgan2a1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan2a1,definition,
% 0.30/0.46      ( demorgan2a1
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) )
% 0.30/0.46                     => ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(complementUnionInPowersetComplement_type,type,
% 0.30/0.46      complementUnionInPowersetComplement: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(complementUnionInPowersetComplement,definition,
% 0.30/0.46      ( complementUnionInPowersetComplement
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( in @ ( setminus @ A @ ( binunion @ X @ Y ) ) @ ( powerset @ ( setminus @ A @ X ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan2a2_type,type,
% 0.30/0.46      demorgan2a2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan2a2,definition,
% 0.30/0.46      ( demorgan2a2
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) )
% 0.30/0.46                     => ( in @ Xx @ ( setminus @ A @ Y ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan1a_type,type,
% 0.30/0.46      demorgan1a: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan1a,definition,
% 0.30/0.46      ( demorgan1a
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) )
% 0.30/0.46                     => ( in @ Xx @ ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan1b_type,type,
% 0.30/0.46      demorgan1b: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan1b,definition,
% 0.30/0.46      ( demorgan1b
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( in @ Xx @ ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) )
% 0.30/0.46                     => ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan1_type,type,
% 0.30/0.46      demorgan1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan1,definition,
% 0.30/0.46      ( demorgan1
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( ( setminus @ A @ ( binintersect @ X @ Y ) )
% 0.30/0.46                  = ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan2a_type,type,
% 0.30/0.46      demorgan2a: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan2a,definition,
% 0.30/0.46      ( demorgan2a
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) )
% 0.30/0.46                     => ( in @ Xx @ ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan2b2_type,type,
% 0.30/0.46      demorgan2b2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan2b2,definition,
% 0.30/0.46      ( demorgan2b2
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( in @ Xx @ ( setminus @ A @ X ) )
% 0.30/0.46                     => ( ( in @ Xx @ ( setminus @ A @ Y ) )
% 0.30/0.46                       => ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan2b_type,type,
% 0.30/0.46      demorgan2b: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan2b,definition,
% 0.30/0.46      ( demorgan2b
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ( ( in @ Xx @ ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) )
% 0.30/0.46                     => ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan2_type,type,
% 0.30/0.46      demorgan2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(demorgan2,definition,
% 0.30/0.46      ( demorgan2
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( ( setminus @ A @ ( binunion @ X @ Y ) )
% 0.30/0.46                  = ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(woz13rule0_type,type,
% 0.30/0.46      woz13rule0: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(woz13rule0,definition,
% 0.30/0.46      ( woz13rule0
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ ( binintersect @ X @ Y ) )
% 0.30/0.46                   => ( in @ Xx @ A ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(woz13rule1_type,type,
% 0.30/0.46      woz13rule1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(woz13rule1,definition,
% 0.30/0.46      ( woz13rule1
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Z: $i] :
% 0.30/0.46                    ( ( in @ Z @ ( powerset @ A ) )
% 0.30/0.46                   => ( ( subset @ X @ Z )
% 0.30/0.46                     => ( subset @ ( binintersect @ X @ Y ) @ Z ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(woz13rule2_type,type,
% 0.30/0.46      woz13rule2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(woz13rule2,definition,
% 0.30/0.46      ( woz13rule2
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Z: $i] :
% 0.30/0.46                    ( ( in @ Z @ ( powerset @ A ) )
% 0.30/0.46                   => ( ( subset @ Y @ Z )
% 0.30/0.46                     => ( subset @ ( binintersect @ X @ Y ) @ Z ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(woz13rule3_type,type,
% 0.30/0.46      woz13rule3: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(woz13rule3,definition,
% 0.30/0.46      ( woz13rule3
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Z: $i] :
% 0.30/0.46                    ( ( in @ Z @ ( powerset @ A ) )
% 0.30/0.46                   => ( ( subset @ X @ Y )
% 0.30/0.46                     => ( ( subset @ X @ Z )
% 0.30/0.46                       => ( subset @ X @ ( binintersect @ Y @ Z ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(woz13rule4_type,type,
% 0.30/0.46      woz13rule4: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(woz13rule4,definition,
% 0.30/0.46      ( woz13rule4
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Z: $i] :
% 0.30/0.46                    ( ( in @ Z @ ( powerset @ A ) )
% 0.30/0.46                   => ! [W: $i] :
% 0.30/0.46                        ( ( in @ W @ ( powerset @ A ) )
% 0.30/0.46                       => ( ( subset @ X @ Z )
% 0.30/0.46                         => ( ( subset @ Y @ W )
% 0.30/0.46                           => ( subset @ ( binintersect @ X @ Y ) @ ( binintersect @ Z @ W ) ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(woz1_1_type,type,
% 0.30/0.46      woz1_1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(woz1_1,definition,
% 0.30/0.46      ( woz1_1
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( in @ ( setminus @ A @ X ) @ ( powerset @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(woz1_2_type,type,
% 0.30/0.46      woz1_2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(woz1_2,definition,
% 0.30/0.46      ( woz1_2
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Z: $i] :
% 0.30/0.46                    ( ( in @ Z @ ( powerset @ A ) )
% 0.30/0.46                   => ! [W: $i] :
% 0.30/0.46                        ( ( in @ W @ ( powerset @ A ) )
% 0.30/0.46                       => ( ( setminus @ A @ ( binintersect @ ( binunion @ X @ Y ) @ ( binunion @ Z @ W ) ) )
% 0.30/0.46                          = ( binunion @ ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) @ ( binintersect @ ( setminus @ A @ Z ) @ ( setminus @ A @ W ) ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(woz1_3_type,type,
% 0.30/0.46      woz1_3: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(woz1_3,definition,
% 0.30/0.46      ( woz1_3
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ! [Z: $i] :
% 0.30/0.46                    ( ( in @ Z @ ( powerset @ A ) )
% 0.30/0.46                   => ( in @ ( binintersect @ X @ Y ) @ ( powerset @ ( binintersect @ ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(woz1_4_type,type,
% 0.30/0.46      woz1_4: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(woz1_4,definition,
% 0.30/0.46      ( woz1_4
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( ( subset @ X @ ( setminus @ A @ Y ) )
% 0.30/0.46                 => ( subset @ Y @ ( setminus @ A @ X ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(woz1_5_type,type,
% 0.30/0.46      woz1_5: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(woz1_5,definition,
% 0.30/0.46      ( woz1_5
% 0.30/0.46      = ( ! [A: $i,X: $i] :
% 0.30/0.46            ( ( in @ X @ ( powerset @ A ) )
% 0.30/0.46           => ! [Y: $i] :
% 0.30/0.46                ( ( in @ Y @ ( powerset @ A ) )
% 0.30/0.46               => ( in @ ( setminus @ A @ ( binunion @ X @ Y ) ) @ ( powerset @ ( setminus @ A @ X ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1_type,type,
% 0.30/0.46      breln1: $i > $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1,definition,
% 0.30/0.46      ( breln1
% 0.30/0.46      = ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1all2_type,type,
% 0.30/0.46      breln1all2: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1all2,definition,
% 0.30/0.46      ( breln1all2
% 0.30/0.46      = ( ! [A: $i,R: $i] :
% 0.30/0.46            ( ( breln1 @ A @ R )
% 0.30/0.46           => ! [Xphi: $i > $o] :
% 0.30/0.46                ( ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ! [Xy: $i] :
% 0.30/0.46                        ( ( in @ Xy @ A )
% 0.30/0.46                       => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 0.30/0.46                         => ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ R )
% 0.30/0.46                   => ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1Set_type,type,
% 0.30/0.46      breln1Set: $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1SetBreln1_type,type,
% 0.30/0.46      breln1SetBreln1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1SetBreln1,definition,
% 0.30/0.46      ( breln1SetBreln1
% 0.30/0.46      = ( ! [A: $i,R: $i] :
% 0.30/0.46            ( ( in @ R @ ( breln1Set @ A ) )
% 0.30/0.46           => ( breln1 @ A @ R ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(transitive_type,type,
% 0.30/0.46      transitive: $i > $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(antisymmetric_type,type,
% 0.30/0.46      antisymmetric: $i > $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(reflexive_type,type,
% 0.30/0.46      reflexive: $i > $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(refltransitive_type,type,
% 0.30/0.46      refltransitive: $i > $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(refllinearorder_type,type,
% 0.30/0.46      refllinearorder: $i > $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(reflwellordering_type,type,
% 0.30/0.46      reflwellordering: $i > $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(choice2fnsingleton_type,type,
% 0.30/0.46      choice2fnsingleton: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(choice2fnsingleton,definition,
% 0.30/0.46      ( choice2fnsingleton
% 0.30/0.46      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o] :
% 0.30/0.46            ( ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ? [Xy: $i] :
% 0.30/0.46                    ( ( in @ Xy @ B )
% 0.30/0.46                    & ( Xphi @ Xx @ Xy ) ) )
% 0.30/0.46           => ! [R: $i] :
% 0.30/0.46                ( ( in @ R @ ( breln1Set @ B ) )
% 0.30/0.46               => ( ( reflwellordering @ B @ R )
% 0.30/0.46                 => ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ A )
% 0.30/0.46                     => ( singleton
% 0.30/0.46                        @ ( dsetconstr @ B
% 0.30/0.46                          @ ^ [Xy: $i] :
% 0.30/0.46                              ( ( Xphi @ Xx @ Xy )
% 0.30/0.46                              & ! [Xz: $i] :
% 0.30/0.46                                  ( ( in @ Xz @ B )
% 0.30/0.46                                 => ( ( Xphi @ Xx @ Xz )
% 0.30/0.46                                   => ( in @ ( kpair @ Xy @ Xz ) @ R ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(setOfPairsIsBReln1_type,type,
% 0.30/0.46      setOfPairsIsBReln1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(setOfPairsIsBReln1,definition,
% 0.30/0.46      ( setOfPairsIsBReln1
% 0.30/0.46      = ( ! [A: $i,Xphi: $i > $i > $o] :
% 0.30/0.46            ( breln1 @ A
% 0.30/0.46            @ ( dpsetconstr @ A @ A
% 0.30/0.46              @ ^ [Xx: $i,Xy: $i] : ( Xphi @ Xx @ Xy ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1all1_type,type,
% 0.30/0.46      breln1all1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1all1,definition,
% 0.30/0.46      ( breln1all1
% 0.30/0.46      = ( ! [A: $i,R: $i] :
% 0.30/0.46            ( ( breln1 @ A @ R )
% 0.30/0.46           => ! [Xphi: $i > $o] :
% 0.30/0.46                ( ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ! [Xy: $i] :
% 0.30/0.46                        ( ( in @ Xy @ A )
% 0.30/0.46                       => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 0.30/0.46                         => ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ R )
% 0.30/0.46                   => ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(subbreln1_type,type,
% 0.30/0.46      subbreln1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(subbreln1,definition,
% 0.30/0.46      ( subbreln1
% 0.30/0.46      = ( ! [A: $i,R: $i] :
% 0.30/0.46            ( ( breln1 @ A @ R )
% 0.30/0.46           => ! [S: $i] :
% 0.30/0.46                ( ( breln1 @ A @ S )
% 0.30/0.46               => ( ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ A )
% 0.30/0.46                     => ! [Xy: $i] :
% 0.30/0.46                          ( ( in @ Xy @ A )
% 0.30/0.46                         => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 0.30/0.46                           => ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) )
% 0.30/0.46                 => ( subset @ R @ S ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(eqbreln1_type,type,
% 0.30/0.46      eqbreln1: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(eqbreln1,definition,
% 0.30/0.46      ( eqbreln1
% 0.30/0.46      = ( ! [A: $i,R: $i] :
% 0.30/0.46            ( ( breln1 @ A @ R )
% 0.30/0.46           => ! [S: $i] :
% 0.30/0.46                ( ( breln1 @ A @ S )
% 0.30/0.46               => ( ! [Xx: $i] :
% 0.30/0.46                      ( ( in @ Xx @ A )
% 0.30/0.46                     => ! [Xy: $i] :
% 0.30/0.46                          ( ( in @ Xy @ A )
% 0.30/0.46                         => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 0.30/0.46                           => ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) )
% 0.30/0.46                 => ( ! [Xx: $i] :
% 0.30/0.46                        ( ( in @ Xx @ A )
% 0.30/0.46                       => ! [Xy: $i] :
% 0.30/0.46                            ( ( in @ Xy @ A )
% 0.30/0.46                           => ( ( in @ ( kpair @ Xx @ Xy ) @ S )
% 0.30/0.46                             => ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) )
% 0.30/0.46                   => ( R = S ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1invset_type,type,
% 0.30/0.46      breln1invset: $i > $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1invprop_type,type,
% 0.30/0.46      breln1invprop: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1invprop,definition,
% 0.30/0.46      ( breln1invprop
% 0.30/0.46      = ( ! [A: $i,R: $i] :
% 0.30/0.46            ( ( breln1 @ A @ R )
% 0.30/0.46           => ( breln1 @ A @ ( breln1invset @ A @ R ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1invI_type,type,
% 0.30/0.46      breln1invI: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1invI,definition,
% 0.30/0.46      ( breln1invI
% 0.30/0.46      = ( ! [A: $i,R: $i] :
% 0.30/0.46            ( ( breln1 @ A @ R )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ! [Xy: $i] :
% 0.30/0.46                    ( ( in @ Xy @ A )
% 0.30/0.46                   => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 0.30/0.46                     => ( in @ ( kpair @ Xy @ Xx ) @ ( breln1invset @ A @ R ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1invE_type,type,
% 0.30/0.46      breln1invE: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1invE,definition,
% 0.30/0.46      ( breln1invE
% 0.30/0.46      = ( ! [A: $i,R: $i] :
% 0.30/0.46            ( ( breln1 @ A @ R )
% 0.30/0.46           => ! [Xx: $i] :
% 0.30/0.46                ( ( in @ Xx @ A )
% 0.30/0.46               => ! [Xy: $i] :
% 0.30/0.46                    ( ( in @ Xy @ A )
% 0.30/0.46                   => ( ( in @ ( kpair @ Xy @ Xx ) @ ( breln1invset @ A @ R ) )
% 0.30/0.46                     => ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1compset_type,type,
% 0.30/0.46      breln1compset: $i > $i > $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1compprop_type,type,
% 0.30/0.46      breln1compprop: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1compprop,definition,
% 0.30/0.46      ( breln1compprop
% 0.30/0.46      = ( ! [A: $i,R: $i] :
% 0.30/0.46            ( ( breln1 @ A @ R )
% 0.30/0.46           => ! [S: $i] :
% 0.30/0.46                ( ( breln1 @ A @ S )
% 0.30/0.46               => ( breln1 @ A @ ( breln1compset @ A @ R @ S ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1compI_type,type,
% 0.30/0.46      breln1compI: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1compI,definition,
% 0.30/0.46      ( breln1compI
% 0.30/0.46      = ( ! [A: $i,R: $i] :
% 0.30/0.46            ( ( breln1 @ A @ R )
% 0.30/0.46           => ! [S: $i] :
% 0.30/0.46                ( ( breln1 @ A @ S )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ! [Xy: $i] :
% 0.30/0.46                        ( ( in @ Xy @ A )
% 0.30/0.46                       => ! [Xz: $i] :
% 0.30/0.46                            ( ( in @ Xz @ A )
% 0.30/0.46                           => ( ( in @ ( kpair @ Xx @ Xz ) @ R )
% 0.30/0.46                             => ( ( in @ ( kpair @ Xz @ Xy ) @ S )
% 0.30/0.46                               => ( in @ ( kpair @ Xx @ Xy ) @ ( breln1compset @ A @ R @ S ) ) ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1compE_type,type,
% 0.30/0.46      breln1compE: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1compE,definition,
% 0.30/0.46      ( breln1compE
% 0.30/0.46      = ( ! [A: $i,R: $i] :
% 0.30/0.46            ( ( breln1 @ A @ R )
% 0.30/0.46           => ! [S: $i] :
% 0.30/0.46                ( ( breln1 @ A @ S )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ! [Xy: $i] :
% 0.30/0.46                        ( ( in @ Xy @ A )
% 0.30/0.46                       => ( ( in @ ( kpair @ Xx @ Xy ) @ ( breln1compset @ A @ R @ S ) )
% 0.30/0.46                         => ? [Xz: $i] :
% 0.30/0.46                              ( ( in @ Xz @ A )
% 0.30/0.46                              & ( in @ ( kpair @ Xx @ Xz ) @ R )
% 0.30/0.46                              & ( in @ ( kpair @ Xz @ Xy ) @ S ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1compEex_type,type,
% 0.30/0.46      breln1compEex: $o ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1compEex,definition,
% 0.30/0.46      ( breln1compEex
% 0.30/0.46      = ( ! [A: $i,R: $i] :
% 0.30/0.46            ( ( breln1 @ A @ R )
% 0.30/0.46           => ! [S: $i] :
% 0.30/0.46                ( ( breln1 @ A @ S )
% 0.30/0.46               => ! [Xx: $i] :
% 0.30/0.46                    ( ( in @ Xx @ A )
% 0.30/0.46                   => ! [Xy: $i] :
% 0.30/0.46                        ( ( in @ Xy @ A )
% 0.30/0.46                       => ( ( in @ ( kpair @ Xx @ Xy ) @ ( breln1compset @ A @ R @ S ) )
% 0.30/0.46                         => ! [Xphi: $o] :
% 0.30/0.46                              ( ! [Xz: $i] :
% 0.30/0.46                                  ( ( in @ Xz @ A )
% 0.30/0.46                                 => ( ( in @ ( kpair @ Xx @ Xz ) @ R )
% 0.30/0.46                                   => ( ( in @ ( kpair @ Xz @ Xy ) @ S )
% 0.30/0.46                                     => Xphi ) ) )
% 0.30/0.46                             => Xphi ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  thf(breln1unionprop,conjecture,
% 0.30/0.46      ( setextAx
% 0.30/0.46     => ( emptysetAx
% 0.30/0.46       => ( setadjoinAx
% 0.30/0.46         => ( powersetAx
% 0.30/0.46           => ( setunionAx
% 0.30/0.46             => ( omega0Ax
% 0.30/0.46               => ( omegaSAx
% 0.30/0.46                 => ( omegaIndAx
% 0.30/0.46                   => ( replAx
% 0.30/0.46                     => ( foundationAx
% 0.30/0.46                       => ( wellorderingAx
% 0.30/0.46                         => ( descrp
% 0.30/0.46                           => ( dsetconstrI
% 0.30/0.46                             => ( dsetconstrEL
% 0.30/0.46                               => ( dsetconstrER
% 0.30/0.46                                 => ( exuE1
% 0.30/0.46                                   => ( prop2setE
% 0.30/0.46                                     => ( emptysetE
% 0.30/0.46                                       => ( emptysetimpfalse
% 0.30/0.46                                         => ( notinemptyset
% 0.30/0.46                                           => ( exuE3e
% 0.30/0.46                                             => ( setext
% 0.30/0.46                                               => ( emptyI
% 0.30/0.46                                                 => ( noeltsimpempty
% 0.30/0.46                                                   => ( setbeta
% 0.30/0.46                                                     => ( nonemptyE1
% 0.30/0.46                                                       => ( nonemptyI
% 0.30/0.46                                                         => ( nonemptyI1
% 0.30/0.46                                                           => ( setadjoinIL
% 0.30/0.46                                                             => ( emptyinunitempty
% 0.30/0.46                                                               => ( setadjoinIR
% 0.30/0.46                                                                 => ( setadjoinE
% 0.30/0.46                                                                   => ( setadjoinOr
% 0.30/0.46                                                                     => ( setoftrueEq
% 0.30/0.46                                                                       => ( powersetI
% 0.30/0.46                                                                         => ( emptyinPowerset
% 0.30/0.46                                                                           => ( emptyInPowerset
% 0.30/0.46                                                                             => ( powersetE
% 0.30/0.46                                                                               => ( setunionI
% 0.30/0.46                                                                                 => ( setunionE
% 0.30/0.46                                                                                   => ( subPowSU
% 0.30/0.46                                                                                     => ( exuE2
% 0.30/0.46                                                                                       => ( nonemptyImpWitness
% 0.30/0.46                                                                                         => ( uniqinunit
% 0.30/0.46                                                                                           => ( notinsingleton
% 0.30/0.46                                                                                             => ( eqinunit
% 0.30/0.46                                                                                               => ( singletonsswitch
% 0.30/0.46                                                                                                 => ( upairsetE
% 0.30/0.46                                                                                                   => ( upairsetIL
% 0.30/0.46                                                                                                     => ( upairsetIR
% 0.30/0.46                                                                                                       => ( emptyE1
% 0.30/0.46                                                                                                         => ( vacuousDall
% 0.30/0.46                                                                                                           => ( quantDeMorgan1
% 0.30/0.46                                                                                                             => ( quantDeMorgan2
% 0.30/0.46                                                                                                               => ( quantDeMorgan3
% 0.30/0.46                                                                                                                 => ( quantDeMorgan4
% 0.30/0.46                                                                                                                   => ( prop2setI
% 0.30/0.46                                                                                                                     => ( prop2set2propI
% 0.30/0.46                                                                                                                       => ( notdexE
% 0.30/0.46                                                                                                                         => ( notdallE
% 0.30/0.46                                                                                                                           => ( exuI1
% 0.30/0.46                                                                                                                             => ( exuI3
% 0.30/0.46                                                                                                                               => ( exuI2
% 0.30/0.46                                                                                                                                 => ( inCongP
% 0.30/0.46                                                                                                                                   => ( in__Cong
% 0.30/0.46                                                                                                                                     => ( exuE3u
% 0.30/0.46                                                                                                                                       => ( exu__Cong
% 0.30/0.46                                                                                                                                         => ( emptyset__Cong
% 0.30/0.46                                                                                                                                           => ( setadjoin__Cong
% 0.30/0.46                                                                                                                                             => ( powerset__Cong
% 0.30/0.46                                                                                                                                               => ( setunion__Cong
% 0.30/0.46                                                                                                                                                 => ( omega__Cong
% 0.30/0.46                                                                                                                                                   => ( exuEu
% 0.30/0.46                                                                                                                                                     => ( descr__Cong
% 0.30/0.46                                                                                                                                                       => ( dsetconstr__Cong
% 0.30/0.46                                                                                                                                                         => ( subsetI1
% 0.30/0.46                                                                                                                                                           => ( eqimpsubset2
% 0.30/0.46                                                                                                                                                             => ( eqimpsubset1
% 0.30/0.46                                                                                                                                                               => ( subsetI2
% 0.30/0.46                                                                                                                                                                 => ( emptysetsubset
% 0.30/0.46                                                                                                                                                                   => ( subsetE
% 0.30/0.46                                                                                                                                                                     => ( subsetE2
% 0.30/0.46                                                                                                                                                                       => ( notsubsetI
% 0.30/0.46                                                                                                                                                                         => ( notequalI1
% 0.30/0.46                                                                                                                                                                           => ( notequalI2
% 0.30/0.46                                                                                                                                                                             => ( subsetRefl
% 0.30/0.46                                                                                                                                                                               => ( subsetTrans
% 0.30/0.46                                                                                                                                                                                 => ( setadjoinSub
% 0.30/0.46                                                                                                                                                                                   => ( setadjoinSub2
% 0.30/0.46                                                                                                                                                                                     => ( subset2powerset
% 0.30/0.46                                                                                                                                                                                       => ( setextsub
% 0.30/0.46                                                                                                                                                                                         => ( subsetemptysetimpeq
% 0.30/0.46                                                                                                                                                                                           => ( powersetI1
% 0.30/0.46                                                                                                                                                                                             => ( powersetE1
% 0.30/0.46                                                                                                                                                                                               => ( inPowerset
% 0.30/0.46                                                                                                                                                                                                 => ( powersetsubset
% 0.30/0.46                                                                                                                                                                                                   => ( sepInPowerset
% 0.30/0.46                                                                                                                                                                                                     => ( sepSubset
% 0.30/0.46                                                                                                                                                                                                       => ( binunionIL
% 0.30/0.46                                                                                                                                                                                                         => ( upairset2IR
% 0.30/0.46                                                                                                                                                                                                           => ( binunionIR
% 0.30/0.46                                                                                                                                                                                                             => ( binunionEcases
% 0.30/0.46                                                                                                                                                                                                               => ( binunionE
% 0.30/0.46                                                                                                                                                                                                                 => ( binunionLsub
% 0.30/0.46                                                                                                                                                                                                                   => ( binunionRsub
% 0.30/0.46                                                                                                                                                                                                                     => ( binintersectI
% 0.30/0.46                                                                                                                                                                                                                       => ( binintersectSubset5
% 0.30/0.46                                                                                                                                                                                                                         => ( binintersectEL
% 0.30/0.46                                                                                                                                                                                                                           => ( binintersectLsub
% 0.30/0.46                                                                                                                                                                                                                             => ( binintersectSubset2
% 0.30/0.46                                                                                                                                                                                                                               => ( binintersectSubset3
% 0.30/0.46                                                                                                                                                                                                                                 => ( binintersectER
% 0.30/0.46                                                                                                                                                                                                                                   => ( disjointsetsI1
% 0.30/0.46                                                                                                                                                                                                                                     => ( binintersectRsub
% 0.30/0.46                                                                                                                                                                                                                                       => ( binintersectSubset4
% 0.30/0.46                                                                                                                                                                                                                                         => ( binintersectSubset1
% 0.30/0.46                                                                                                                                                                                                                                           => ( bs114d
% 0.30/0.46                                                                                                                                                                                                                                             => ( setminusI
% 0.30/0.46                                                                                                                                                                                                                                               => ( setminusEL
% 0.30/0.46                                                                                                                                                                                                                                                 => ( setminusER
% 0.30/0.46                                                                                                                                                                                                                                                   => ( setminusSubset2
% 0.30/0.46                                                                                                                                                                                                                                                     => ( setminusERneg
% 0.30/0.46                                                                                                                                                                                                                                                       => ( setminusELneg
% 0.30/0.46                                                                                                                                                                                                                                                         => ( setminusILneg
% 0.30/0.46                                                                                                                                                                                                                                                           => ( setminusIRneg
% 0.30/0.46                                                                                                                                                                                                                                                             => ( setminusLsub
% 0.30/0.46                                                                                                                                                                                                                                                               => ( setminusSubset1
% 0.30/0.46                                                                                                                                                                                                                                                                 => ( symdiffE
% 0.30/0.46                                                                                                                                                                                                                                                                   => ( symdiffI1
% 0.30/0.46                                                                                                                                                                                                                                                                     => ( symdiffI2
% 0.30/0.46                                                                                                                                                                                                                                                                       => ( symdiffIneg1
% 0.30/0.46                                                                                                                                                                                                                                                                         => ( symdiffIneg2
% 0.30/0.46                                                                                                                                                                                                                                                                           => ( secondinupair
% 0.30/0.46                                                                                                                                                                                                                                                                             => ( setukpairIL
% 0.30/0.46                                                                                                                                                                                                                                                                               => ( setukpairIR
% 0.30/0.46                                                                                                                                                                                                                                                                                 => ( kpairiskpair
% 0.30/0.46                                                                                                                                                                                                                                                                                   => ( kpairp
% 0.30/0.46                                                                                                                                                                                                                                                                                     => ( singletonsubset
% 0.30/0.46                                                                                                                                                                                                                                                                                       => ( singletoninpowerset
% 0.30/0.46                                                                                                                                                                                                                                                                                         => ( singletoninpowunion
% 0.30/0.46                                                                                                                                                                                                                                                                                           => ( upairset2E
% 0.30/0.46                                                                                                                                                                                                                                                                                             => ( upairsubunion
% 0.30/0.46                                                                                                                                                                                                                                                                                               => ( upairinpowunion
% 0.30/0.46                                                                                                                                                                                                                                                                                                 => ( ubforcartprodlem1
% 0.30/0.46                                                                                                                                                                                                                                                                                                   => ( ubforcartprodlem2
% 0.30/0.46                                                                                                                                                                                                                                                                                                     => ( ubforcartprodlem3
% 0.30/0.46                                                                                                                                                                                                                                                                                                       => ( cartprodpairin
% 0.30/0.46                                                                                                                                                                                                                                                                                                         => ( cartprodmempair1
% 0.30/0.46                                                                                                                                                                                                                                                                                                           => ( cartprodmempair
% 0.30/0.46                                                                                                                                                                                                                                                                                                             => ( setunionE2
% 0.30/0.46                                                                                                                                                                                                                                                                                                               => ( setunionsingleton1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                 => ( setunionsingleton2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                   => ( setunionsingleton
% 0.30/0.46                                                                                                                                                                                                                                                                                                                     => ( singletonprop
% 0.30/0.46                                                                                                                                                                                                                                                                                                                       => ( ex1E1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                         => ( ex1I
% 0.30/0.46                                                                                                                                                                                                                                                                                                                           => ( ex1I2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                             => ( singletonsuniq
% 0.30/0.46                                                                                                                                                                                                                                                                                                                               => ( setukpairinjL1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                 => ( kfstsingleton
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                   => ( theprop
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                     => ( kfstpairEq
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                       => ( cartprodfstin
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                         => ( setukpairinjL2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                           => ( setukpairinjL
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                             => ( setukpairinjR11
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                               => ( setukpairinjR12
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                 => ( setukpairinjR1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                   => ( upairequniteq
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                     => ( setukpairinjR2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                       => ( setukpairinjR
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                         => ( ksndsingleton
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                           => ( ksndpairEq
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                             => ( kpairsurjEq
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                               => ( cartprodsndin
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                 => ( cartprodpairmemEL
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                   => ( cartprodpairmemER
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                     => ( cartprodmempaircEq
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                       => ( cartprodfstpairEq
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                         => ( cartprodsndpairEq
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                           => ( cartprodpairsurjEq
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                             => ( dpsetconstrI
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                               => ( dpsetconstrSub
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                 => ( setOfPairsIsBReln
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                   => ( dpsetconstrERa
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                     => ( dpsetconstrEL1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                       => ( dpsetconstrEL2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                         => ( dpsetconstrER
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                           => ( funcImageSingleton
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                             => ( apProp
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                               => ( app
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                 => ( infuncsetfunc
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                   => ( ap2p
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                     => ( funcinfuncset
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                       => ( lamProp
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                         => ( lamp
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                           => ( lam2p
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                             => ( brelnall1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                               => ( brelnall2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ex1E2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                   => ( funcGraphProp1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                     => ( funcGraphProp3
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                       => ( funcGraphProp2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                         => ( funcextLem
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                           => ( funcGraphProp4
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                             => ( subbreln
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                               => ( eqbreln
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( funcext
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( funcext2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ap2apEq1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ap2apEq2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( beta1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( eta1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( lam2lamEq
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( beta2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( eta2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( iffalseProp1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( iffalseProp2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( iftrueProp1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( iftrueProp2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ifSingleton
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ifp
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( theeq
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( iftrue
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( iffalse
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( iftrueorfalse
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( binintersectT_lem
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( binunionT_lem
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( powersetT_lem
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( setminusT_lem
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( complementT_lem
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( setextT
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( subsetTI
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( powersetTI1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( powersetTE1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( complementTI1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( complementTE1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( binintersectTELcontra
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binintersectTERcontra
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( contrasubsetT
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( contrasubsetT1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( contrasubsetT2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( contrasubsetT3
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( doubleComplementI1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( doubleComplementE1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( doubleComplementSub1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( doubleComplementSub2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( doubleComplementEq
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( complementTnotintersectT
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( complementImpComplementIntersect
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( complementSubsetComplementIntersect
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( complementInPowersetComplementIntersect
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( contraSubsetComplement
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( complementTcontraSubset
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binunionTILcontra
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( binunionTIRcontra
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( inIntersectImpInUnion
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( inIntersectImpInUnion2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( inIntersectImpInIntersectUnions
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( intersectInPowersetIntersectUnions
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( inComplementUnionImpNotIn1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( inComplementUnionImpInComplement1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binunionTE
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( binunionTEcontra
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( demorgan2a1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( complementUnionInPowersetComplement
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( demorgan2a2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( demorgan1a
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( demorgan1b
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( demorgan1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( demorgan2a
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( demorgan2b2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( demorgan2b
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( demorgan2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz13rule0
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz13rule1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( woz13rule2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( woz13rule3
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( woz13rule4
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( woz1_1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( woz1_2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( woz1_3
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz1_4
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz1_5
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1all2
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1SetBreln1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( choice2fnsingleton
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( setOfPairsIsBReln1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1all1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( subbreln1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( eqbreln1
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( breln1invprop
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1invI
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1invE
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( breln1compprop
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( breln1compI
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1compE
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( breln1compEex
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ! [A: $i,R: $i] :
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ( ( breln1 @ A @ R )
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ! [S: $i] :
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ( ( breln1 @ A @ S )
% 0.30/0.46                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( breln1 @ A @ ( binunion @ R @ S ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  %------------------------------------------------------------------------------
% 0.30/0.46  ------------------------
% 2.96/1.53  ---- Embedded in THF ---
% 2.96/1.53  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.96/1.53  %%% Generated on Tue Feb 24 12:34:08 EST 2026
% 2.96/1.53  %%% using '$$dhol' embedding, version 1.3.0.
% 2.96/1.53  %%% Logic specification used:
% 2.96/1.53  %%% thf(spec, logic, $$dhol).
% 2.96/1.53  
% 2.96/1.53  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.gExcApT4FL/DTF2DTF29531.p
% See solution above
% 2.96/1.53  ------------------------
% 2.96/1.57  ---- Cleaned THF ---
% 2.96/1.57  thf(in_type,type,
% 2.96/1.57      in: $i > $i > $o ).
% 2.96/1.57  
% 2.96/1.57  thf(exu_type,type,
% 2.96/1.57      exu: ( $i > $o ) > $o ).
% 2.96/1.57  
% 2.96/1.57  thf(exu,definition,
% 2.96/1.57      ( exu
% 2.96/1.57      = ( ^ [Xphi: $i > $o] :
% 2.96/1.57          ? [Xx: $i] :
% 2.96/1.57            ( ( Xphi @ Xx )
% 2.96/1.57            & ! [Xy: $i] :
% 2.96/1.57                ( ( Xphi @ Xy )
% 2.96/1.57               => ( Xx = Xy ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setextAx_type,type,
% 2.96/1.57      setextAx: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setextAx,definition,
% 2.96/1.57      ( setextAx
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ! [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ A )
% 2.96/1.57              <=> ( in @ Xx @ B ) )
% 2.96/1.57           => ( A = B ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(emptyset_type,type,
% 2.96/1.57      emptyset: $i ).
% 2.96/1.57  
% 2.96/1.57  thf(emptysetAx_type,type,
% 2.96/1.57      emptysetAx: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(emptysetAx,definition,
% 2.96/1.57      ( emptysetAx
% 2.96/1.57      = ( ! [Xx: $i] :
% 2.96/1.57            ~ ( in @ Xx @ emptyset ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoin_type,type,
% 2.96/1.57      setadjoin: $i > $i > $i ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoinAx_type,type,
% 2.96/1.57      setadjoinAx: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoinAx,definition,
% 2.96/1.57      ( setadjoinAx
% 2.96/1.57      = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.96/1.57            ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.96/1.57          <=> ( ( Xy = Xx )
% 2.96/1.57              | ( in @ Xy @ A ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(powerset_type,type,
% 2.96/1.57      powerset: $i > $i ).
% 2.96/1.57  
% 2.96/1.57  thf(powersetAx_type,type,
% 2.96/1.57      powersetAx: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(powersetAx,definition,
% 2.96/1.57      ( powersetAx
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( in @ B @ ( powerset @ A ) )
% 2.96/1.57          <=> ! [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ B )
% 2.96/1.57               => ( in @ Xx @ A ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setunion_type,type,
% 2.96/1.57      setunion: $i > $i ).
% 2.96/1.57  
% 2.96/1.57  thf(setunionAx_type,type,
% 2.96/1.57      setunionAx: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setunionAx,definition,
% 2.96/1.57      ( setunionAx
% 2.96/1.57      = ( ! [A: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ ( setunion @ A ) )
% 2.96/1.57          <=> ? [B: $i] :
% 2.96/1.57                ( ( in @ Xx @ B )
% 2.96/1.57                & ( in @ B @ A ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(omega_type,type,
% 2.96/1.57      omega: $i ).
% 2.96/1.57  
% 2.96/1.57  thf(omega0Ax_type,type,
% 2.96/1.57      omega0Ax: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(omega0Ax,definition,
% 2.96/1.57      ( omega0Ax
% 2.96/1.57      = ( in @ emptyset @ omega ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(omegaSAx_type,type,
% 2.96/1.57      omegaSAx: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(omegaSAx,definition,
% 2.96/1.57      ( omegaSAx
% 2.96/1.57      = ( ! [Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ omega )
% 2.96/1.57           => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(omegaIndAx_type,type,
% 2.96/1.57      omegaIndAx: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(omegaIndAx,definition,
% 2.96/1.57      ( omegaIndAx
% 2.96/1.57      = ( ! [A: $i] :
% 2.96/1.57            ( ( ( in @ emptyset @ A )
% 2.96/1.57              & ! [Xx: $i] :
% 2.96/1.57                  ( ( ( in @ Xx @ omega )
% 2.96/1.57                    & ( in @ Xx @ A ) )
% 2.96/1.57                 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 2.96/1.57           => ! [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ omega )
% 2.96/1.57               => ( in @ Xx @ A ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(replAx_type,type,
% 2.96/1.57      replAx: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(replAx,definition,
% 2.96/1.57      ( replAx
% 2.96/1.57      = ( ! [Xphi: $i > $i > $o,A: $i] :
% 2.96/1.57            ( ! [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ A )
% 2.96/1.57               => ( exu
% 2.96/1.57                  @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 2.96/1.57           => ? [B: $i] :
% 2.96/1.57              ! [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ B )
% 2.96/1.57              <=> ? [Xy: $i] :
% 2.96/1.57                    ( ( in @ Xy @ A )
% 2.96/1.57                    & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(foundationAx_type,type,
% 2.96/1.57      foundationAx: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(foundationAx,definition,
% 2.96/1.57      ( foundationAx
% 2.96/1.57      = ( ! [A: $i] :
% 2.96/1.57            ( ? [Xx: $i] : ( in @ Xx @ A )
% 2.96/1.57           => ? [B: $i] :
% 2.96/1.57                ( ( in @ B @ A )
% 2.96/1.57                & ~ ? [Xx: $i] :
% 2.96/1.57                      ( ( in @ Xx @ B )
% 2.96/1.57                      & ( in @ Xx @ A ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(wellorderingAx_type,type,
% 2.96/1.57      wellorderingAx: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(wellorderingAx,definition,
% 2.96/1.57      ( wellorderingAx
% 2.96/1.57      = ( ! [A: $i] :
% 2.96/1.57          ? [B: $i] :
% 2.96/1.57            ( ! [C: $i] :
% 2.96/1.57                ( ( in @ C @ B )
% 2.96/1.57               => ! [Xx: $i] :
% 2.96/1.57                    ( ( in @ Xx @ C )
% 2.96/1.57                   => ( in @ Xx @ A ) ) )
% 2.96/1.57            & ! [Xx: $i,Xy: $i] :
% 2.96/1.57                ( ( ( in @ Xx @ A )
% 2.96/1.57                  & ( in @ Xy @ A ) )
% 2.96/1.57               => ( ! [C: $i] :
% 2.96/1.57                      ( ( in @ C @ B )
% 2.96/1.57                     => ( ( in @ Xx @ C )
% 2.96/1.57                      <=> ( in @ Xy @ C ) ) )
% 2.96/1.57                 => ( Xx = Xy ) ) )
% 2.96/1.57            & ! [C: $i,D: $i] :
% 2.96/1.57                ( ( ( in @ C @ B )
% 2.96/1.57                  & ( in @ D @ B ) )
% 2.96/1.57               => ( ! [Xx: $i] :
% 2.96/1.57                      ( ( in @ Xx @ C )
% 2.96/1.57                     => ( in @ Xx @ D ) )
% 2.96/1.57                  | ! [Xx: $i] :
% 2.96/1.57                      ( ( in @ Xx @ D )
% 2.96/1.57                     => ( in @ Xx @ C ) ) ) )
% 2.96/1.57            & ! [C: $i] :
% 2.96/1.57                ( ( ! [Xx: $i] :
% 2.96/1.57                      ( ( in @ Xx @ C )
% 2.96/1.57                     => ( in @ Xx @ A ) )
% 2.96/1.57                  & ? [Xx: $i] : ( in @ Xx @ C ) )
% 2.96/1.57               => ? [D: $i,Xx: $i] :
% 2.96/1.57                    ( ( in @ D @ B )
% 2.96/1.57                    & ( in @ Xx @ C )
% 2.96/1.57                    & ~ ? [Xy: $i] :
% 2.96/1.57                          ( ( in @ Xy @ D )
% 2.96/1.57                          & ( in @ Xy @ C ) )
% 2.96/1.57                    & ! [E: $i] :
% 2.96/1.57                        ( ( in @ E @ B )
% 2.96/1.57                       => ( ! [Xy: $i] :
% 2.96/1.57                              ( ( in @ Xy @ E )
% 2.96/1.57                             => ( in @ Xy @ D ) )
% 2.96/1.57                          | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(descr_type,type,
% 2.96/1.57      descr: ( $i > $o ) > $i ).
% 2.96/1.57  
% 2.96/1.57  thf(descrp_type,type,
% 2.96/1.57      descrp: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(descrp,definition,
% 2.96/1.57      ( descrp
% 2.96/1.57      = ( ! [Xphi: $i > $o] :
% 2.96/1.57            ( ( exu
% 2.96/1.57              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.57           => ( Xphi
% 2.96/1.57              @ ( descr
% 2.96/1.57                @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(dsetconstr_type,type,
% 2.96/1.57      dsetconstr: $i > ( $i > $o ) > $i ).
% 2.96/1.57  
% 2.96/1.57  thf(dsetconstrI_type,type,
% 2.96/1.57      dsetconstrI: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(dsetconstrI,definition,
% 2.96/1.57      ( dsetconstrI
% 2.96/1.57      = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ A )
% 2.96/1.57           => ( ( Xphi @ Xx )
% 2.96/1.57             => ( in @ Xx
% 2.96/1.57                @ ( dsetconstr @ A
% 2.96/1.57                  @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(dsetconstrEL_type,type,
% 2.96/1.57      dsetconstrEL: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(dsetconstrEL,definition,
% 2.96/1.57      ( dsetconstrEL
% 2.96/1.57      = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx
% 2.96/1.57              @ ( dsetconstr @ A
% 2.96/1.57                @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.96/1.57           => ( in @ Xx @ A ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(dsetconstrER_type,type,
% 2.96/1.57      dsetconstrER: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(dsetconstrER,definition,
% 2.96/1.57      ( dsetconstrER
% 2.96/1.57      = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx
% 2.96/1.57              @ ( dsetconstr @ A
% 2.96/1.57                @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.96/1.57           => ( Xphi @ Xx ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(exuE1_type,type,
% 2.96/1.57      exuE1: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(exuE1,definition,
% 2.96/1.57      ( exuE1
% 2.96/1.57      = ( ! [Xphi: $i > $o] :
% 2.96/1.57            ( ( exu
% 2.96/1.57              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.57           => ? [Xx: $i] :
% 2.96/1.57                ( ( Xphi @ Xx )
% 2.96/1.57                & ! [Xy: $i] :
% 2.96/1.57                    ( ( Xphi @ Xy )
% 2.96/1.57                   => ( Xx = Xy ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(prop2set_type,type,
% 2.96/1.57      prop2set: $o > $i ).
% 2.96/1.57  
% 2.96/1.57  thf(prop2setE_type,type,
% 2.96/1.57      prop2setE: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(prop2setE,definition,
% 2.96/1.57      ( prop2setE
% 2.96/1.57      = ( ! [Xphi: $o,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 2.96/1.57           => Xphi ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(emptysetE_type,type,
% 2.96/1.57      emptysetE: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(emptysetE,definition,
% 2.96/1.57      ( emptysetE
% 2.96/1.57      = ( ! [Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ emptyset )
% 2.96/1.57           => ! [Xphi: $o] : Xphi ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(emptysetimpfalse_type,type,
% 2.96/1.57      emptysetimpfalse: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(emptysetimpfalse,definition,
% 2.96/1.57      ( emptysetimpfalse
% 2.96/1.57      = ( ! [Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ emptyset )
% 2.96/1.57           => $false ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(notinemptyset_type,type,
% 2.96/1.57      notinemptyset: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(notinemptyset,definition,
% 2.96/1.57      ( notinemptyset
% 2.96/1.57      = ( ! [Xx: $i] :
% 2.96/1.57            ~ ( in @ Xx @ emptyset ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(exuE3e_type,type,
% 2.96/1.57      exuE3e: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(exuE3e,definition,
% 2.96/1.57      ( exuE3e
% 2.96/1.57      = ( ! [Xphi: $i > $o] :
% 2.96/1.57            ( ( exu
% 2.96/1.57              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.57           => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setext_type,type,
% 2.96/1.57      setext: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setext,definition,
% 2.96/1.57      ( setext
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ! [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ A )
% 2.96/1.57               => ( in @ Xx @ B ) )
% 2.96/1.57           => ( ! [Xx: $i] :
% 2.96/1.57                  ( ( in @ Xx @ B )
% 2.96/1.57                 => ( in @ Xx @ A ) )
% 2.96/1.57             => ( A = B ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(emptyI_type,type,
% 2.96/1.57      emptyI: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(emptyI,definition,
% 2.96/1.57      ( emptyI
% 2.96/1.57      = ( ! [A: $i] :
% 2.96/1.57            ( ! [Xx: $i] :
% 2.96/1.57                ~ ( in @ Xx @ A )
% 2.96/1.57           => ( A = emptyset ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(noeltsimpempty_type,type,
% 2.96/1.57      noeltsimpempty: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(noeltsimpempty,definition,
% 2.96/1.57      ( noeltsimpempty
% 2.96/1.57      = ( ! [A: $i] :
% 2.96/1.57            ( ! [Xx: $i] :
% 2.96/1.57                ~ ( in @ Xx @ A )
% 2.96/1.57           => ( A = emptyset ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setbeta_type,type,
% 2.96/1.57      setbeta: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setbeta,definition,
% 2.96/1.57      ( setbeta
% 2.96/1.57      = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ A )
% 2.96/1.57           => ( ( in @ Xx
% 2.96/1.57                @ ( dsetconstr @ A
% 2.96/1.57                  @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.96/1.57            <=> ( Xphi @ Xx ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(nonempty_type,type,
% 2.96/1.57      nonempty: $i > $o ).
% 2.96/1.57  
% 2.96/1.57  thf(nonempty,definition,
% 2.96/1.57      ( nonempty
% 2.96/1.57      = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(nonemptyE1_type,type,
% 2.96/1.57      nonemptyE1: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(nonemptyE1,definition,
% 2.96/1.57      ( nonemptyE1
% 2.96/1.57      = ( ! [A: $i] :
% 2.96/1.57            ( ( nonempty @ A )
% 2.96/1.57           => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(nonemptyI_type,type,
% 2.96/1.57      nonemptyI: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(nonemptyI,definition,
% 2.96/1.57      ( nonemptyI
% 2.96/1.57      = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ A )
% 2.96/1.57           => ( ( Xphi @ Xx )
% 2.96/1.57             => ( nonempty
% 2.96/1.57                @ ( dsetconstr @ A
% 2.96/1.57                  @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(nonemptyI1_type,type,
% 2.96/1.57      nonemptyI1: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(nonemptyI1,definition,
% 2.96/1.57      ( nonemptyI1
% 2.96/1.57      = ( ! [A: $i] :
% 2.96/1.57            ( ? [Xx: $i] : ( in @ Xx @ A )
% 2.96/1.57           => ( nonempty @ A ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoinIL_type,type,
% 2.96/1.57      setadjoinIL: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoinIL,definition,
% 2.96/1.57      ( setadjoinIL
% 2.96/1.57      = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(emptyinunitempty_type,type,
% 2.96/1.57      emptyinunitempty: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(emptyinunitempty,definition,
% 2.96/1.57      ( emptyinunitempty
% 2.96/1.57      = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoinIR_type,type,
% 2.96/1.57      setadjoinIR: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoinIR,definition,
% 2.96/1.57      ( setadjoinIR
% 2.96/1.57      = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.96/1.57            ( ( in @ Xy @ A )
% 2.96/1.57           => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoinE_type,type,
% 2.96/1.57      setadjoinE: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoinE,definition,
% 2.96/1.57      ( setadjoinE
% 2.96/1.57      = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.96/1.57            ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.96/1.57           => ! [Xphi: $o] :
% 2.96/1.57                ( ( ( Xy = Xx )
% 2.96/1.57                 => Xphi )
% 2.96/1.57               => ( ( ( in @ Xy @ A )
% 2.96/1.57                   => Xphi )
% 2.96/1.57                 => Xphi ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoinOr_type,type,
% 2.96/1.57      setadjoinOr: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoinOr,definition,
% 2.96/1.57      ( setadjoinOr
% 2.96/1.57      = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.96/1.57            ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.96/1.57           => ( ( Xy = Xx )
% 2.96/1.57              | ( in @ Xy @ A ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setoftrueEq_type,type,
% 2.96/1.57      setoftrueEq: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setoftrueEq,definition,
% 2.96/1.57      ( setoftrueEq
% 2.96/1.57      = ( ! [A: $i] :
% 2.96/1.57            ( ( dsetconstr @ A
% 2.96/1.57              @ ^ [Xx: $i] : $true )
% 2.96/1.57            = A ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(powersetI_type,type,
% 2.96/1.57      powersetI: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(powersetI,definition,
% 2.96/1.57      ( powersetI
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ! [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ B )
% 2.96/1.57               => ( in @ Xx @ A ) )
% 2.96/1.57           => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(emptyinPowerset_type,type,
% 2.96/1.57      emptyinPowerset: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(emptyinPowerset,definition,
% 2.96/1.57      ( emptyinPowerset
% 2.96/1.57      = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(emptyInPowerset_type,type,
% 2.96/1.57      emptyInPowerset: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(emptyInPowerset,definition,
% 2.96/1.57      ( emptyInPowerset
% 2.96/1.57      = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(powersetE_type,type,
% 2.96/1.57      powersetE: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(powersetE,definition,
% 2.96/1.57      ( powersetE
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ B @ ( powerset @ A ) )
% 2.96/1.57           => ( ( in @ Xx @ B )
% 2.96/1.57             => ( in @ Xx @ A ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setunionI_type,type,
% 2.96/1.57      setunionI: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setunionI,definition,
% 2.96/1.57      ( setunionI
% 2.96/1.57      = ( ! [A: $i,Xx: $i,B: $i] :
% 2.96/1.57            ( ( in @ Xx @ B )
% 2.96/1.57           => ( ( in @ B @ A )
% 2.96/1.57             => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setunionE_type,type,
% 2.96/1.57      setunionE: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setunionE,definition,
% 2.96/1.57      ( setunionE
% 2.96/1.57      = ( ! [A: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ ( setunion @ A ) )
% 2.96/1.57           => ! [Xphi: $o] :
% 2.96/1.57                ( ! [B: $i] :
% 2.96/1.57                    ( ( in @ Xx @ B )
% 2.96/1.57                   => ( ( in @ B @ A )
% 2.96/1.57                     => Xphi ) )
% 2.96/1.57               => Xphi ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(subPowSU_type,type,
% 2.96/1.57      subPowSU: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(subPowSU,definition,
% 2.96/1.57      ( subPowSU
% 2.96/1.57      = ( ! [A: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ A )
% 2.96/1.57           => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(exuE2_type,type,
% 2.96/1.57      exuE2: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(exuE2,definition,
% 2.96/1.57      ( exuE2
% 2.96/1.57      = ( ! [Xphi: $i > $o] :
% 2.96/1.57            ( ( exu
% 2.96/1.57              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.57           => ? [Xx: $i] :
% 2.96/1.57              ! [Xy: $i] :
% 2.96/1.57                ( ( Xphi @ Xy )
% 2.96/1.57              <=> ( Xy = Xx ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(nonemptyImpWitness_type,type,
% 2.96/1.57      nonemptyImpWitness: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(nonemptyImpWitness,definition,
% 2.96/1.57      ( nonemptyImpWitness
% 2.96/1.57      = ( ! [A: $i] :
% 2.96/1.57            ( ( nonempty @ A )
% 2.96/1.57           => ? [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ A )
% 2.96/1.57                & $true ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(uniqinunit_type,type,
% 2.96/1.57      uniqinunit: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(uniqinunit,definition,
% 2.96/1.57      ( uniqinunit
% 2.96/1.57      = ( ! [Xx: $i,Xy: $i] :
% 2.96/1.57            ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 2.96/1.57           => ( Xx = Xy ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(notinsingleton_type,type,
% 2.96/1.57      notinsingleton: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(notinsingleton,definition,
% 2.96/1.57      ( notinsingleton
% 2.96/1.57      = ( ! [Xx: $i,Xy: $i] :
% 2.96/1.57            ( ( Xx != Xy )
% 2.96/1.57           => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(eqinunit_type,type,
% 2.96/1.57      eqinunit: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(eqinunit,definition,
% 2.96/1.57      ( eqinunit
% 2.96/1.57      = ( ! [Xx: $i,Xy: $i] :
% 2.96/1.57            ( ( Xx = Xy )
% 2.96/1.57           => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(singletonsswitch_type,type,
% 2.96/1.57      singletonsswitch: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(singletonsswitch,definition,
% 2.96/1.57      ( singletonsswitch
% 2.96/1.57      = ( ! [Xx: $i,Xy: $i] :
% 2.96/1.57            ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 2.96/1.57           => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(upairsetE_type,type,
% 2.96/1.57      upairsetE: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(upairsetE,definition,
% 2.96/1.57      ( upairsetE
% 2.96/1.57      = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 2.96/1.57            ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 2.96/1.57           => ( ( Xz = Xx )
% 2.96/1.57              | ( Xz = Xy ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(upairsetIL_type,type,
% 2.96/1.57      upairsetIL: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(upairsetIL,definition,
% 2.96/1.57      ( upairsetIL
% 2.96/1.57      = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(upairsetIR_type,type,
% 2.96/1.57      upairsetIR: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(upairsetIR,definition,
% 2.96/1.57      ( upairsetIR
% 2.96/1.57      = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(emptyE1_type,type,
% 2.96/1.57      emptyE1: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(emptyE1,definition,
% 2.96/1.57      ( emptyE1
% 2.96/1.57      = ( ! [A: $i,Xphi: $i > $o] :
% 2.96/1.57            ( ? [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ A )
% 2.96/1.57                & ( Xphi @ Xx ) )
% 2.96/1.57           => ( ( ( dsetconstr @ A
% 2.96/1.57                  @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.57                = emptyset )
% 2.96/1.57             => $false ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(vacuousDall_type,type,
% 2.96/1.57      vacuousDall: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(vacuousDall,definition,
% 2.96/1.57      ( vacuousDall
% 2.96/1.57      = ( ! [Xphi: $i > $o,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ emptyset )
% 2.96/1.57           => ( Xphi @ Xx ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(quantDeMorgan1_type,type,
% 2.96/1.57      quantDeMorgan1: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(quantDeMorgan1,definition,
% 2.96/1.57      ( quantDeMorgan1
% 2.96/1.57      = ( ! [A: $i,Xphi: $i > $o] :
% 2.96/1.57            ( ~ ! [Xx: $i] :
% 2.96/1.57                  ( ( in @ Xx @ A )
% 2.96/1.57                 => ( Xphi @ Xx ) )
% 2.96/1.57           => ? [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ A )
% 2.96/1.57                & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(quantDeMorgan2_type,type,
% 2.96/1.57      quantDeMorgan2: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(quantDeMorgan2,definition,
% 2.96/1.57      ( quantDeMorgan2
% 2.96/1.57      = ( ! [A: $i,Xphi: $i > $o] :
% 2.96/1.57            ( ! [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ A )
% 2.96/1.57               => ~ ( Xphi @ Xx ) )
% 2.96/1.57           => ~ ? [Xx: $i] :
% 2.96/1.57                  ( ( in @ Xx @ A )
% 2.96/1.57                  & ( Xphi @ Xx ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(quantDeMorgan3_type,type,
% 2.96/1.57      quantDeMorgan3: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(quantDeMorgan3,definition,
% 2.96/1.57      ( quantDeMorgan3
% 2.96/1.57      = ( ! [A: $i,Xphi: $i > $o] :
% 2.96/1.57            ( ~ ? [Xx: $i] :
% 2.96/1.57                  ( ( in @ Xx @ A )
% 2.96/1.57                  & ( Xphi @ Xx ) )
% 2.96/1.57           => ! [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ A )
% 2.96/1.57               => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(quantDeMorgan4_type,type,
% 2.96/1.57      quantDeMorgan4: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(quantDeMorgan4,definition,
% 2.96/1.57      ( quantDeMorgan4
% 2.96/1.57      = ( ! [A: $i,Xphi: $i > $o] :
% 2.96/1.57            ( ? [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ A )
% 2.96/1.57                & ~ ( Xphi @ Xx ) )
% 2.96/1.57           => ~ ! [Xx: $i] :
% 2.96/1.57                  ( ( in @ Xx @ A )
% 2.96/1.57                 => ( Xphi @ Xx ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(prop2setI_type,type,
% 2.96/1.57      prop2setI: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(prop2setI,definition,
% 2.96/1.57      ( prop2setI
% 2.96/1.57      = ( ! [Xphi: $o] :
% 2.96/1.57            ( Xphi
% 2.96/1.57           => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(set2prop_type,type,
% 2.96/1.57      set2prop: $i > $o ).
% 2.96/1.57  
% 2.96/1.57  thf(prop2set2propI_type,type,
% 2.96/1.57      prop2set2propI: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(prop2set2propI,definition,
% 2.96/1.57      ( prop2set2propI
% 2.96/1.57      = ( ! [Xphi: $o] :
% 2.96/1.57            ( Xphi
% 2.96/1.57           => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(notdexE_type,type,
% 2.96/1.57      notdexE: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(notdexE,definition,
% 2.96/1.57      ( notdexE
% 2.96/1.57      = ( ! [A: $i,Xphi: $i > $o] :
% 2.96/1.57            ( ~ ? [Xx: $i] :
% 2.96/1.57                  ( ( in @ Xx @ A )
% 2.96/1.57                  & ( Xphi @ Xx ) )
% 2.96/1.57           => ! [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ A )
% 2.96/1.57               => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(notdallE_type,type,
% 2.96/1.57      notdallE: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(notdallE,definition,
% 2.96/1.57      ( notdallE
% 2.96/1.57      = ( ! [A: $i,Xphi: $i > $o] :
% 2.96/1.57            ( ~ ! [Xx: $i] :
% 2.96/1.57                  ( ( in @ Xx @ A )
% 2.96/1.57                 => ( Xphi @ Xx ) )
% 2.96/1.57           => ? [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ A )
% 2.96/1.57                & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(exuI1_type,type,
% 2.96/1.57      exuI1: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(exuI1,definition,
% 2.96/1.57      ( exuI1
% 2.96/1.57      = ( ! [Xphi: $i > $o] :
% 2.96/1.57            ( ? [Xx: $i] :
% 2.96/1.57                ( ( Xphi @ Xx )
% 2.96/1.57                & ! [Xy: $i] :
% 2.96/1.57                    ( ( Xphi @ Xy )
% 2.96/1.57                   => ( Xx = Xy ) ) )
% 2.96/1.57           => ( exu
% 2.96/1.57              @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(exuI3_type,type,
% 2.96/1.57      exuI3: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(exuI3,definition,
% 2.96/1.57      ( exuI3
% 2.96/1.57      = ( ! [Xphi: $i > $o] :
% 2.96/1.57            ( ? [Xx: $i] : ( Xphi @ Xx )
% 2.96/1.57           => ( ! [Xx: $i,Xy: $i] :
% 2.96/1.57                  ( ( Xphi @ Xx )
% 2.96/1.57                 => ( ( Xphi @ Xy )
% 2.96/1.57                   => ( Xx = Xy ) ) )
% 2.96/1.57             => ( exu
% 2.96/1.57                @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(exuI2_type,type,
% 2.96/1.57      exuI2: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(exuI2,definition,
% 2.96/1.57      ( exuI2
% 2.96/1.57      = ( ! [Xphi: $i > $o] :
% 2.96/1.57            ( ? [Xx: $i] :
% 2.96/1.57              ! [Xy: $i] :
% 2.96/1.57                ( ( Xphi @ Xy )
% 2.96/1.57              <=> ( Xy = Xx ) )
% 2.96/1.57           => ( exu
% 2.96/1.57              @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(inCongP_type,type,
% 2.96/1.57      inCongP: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(inCongP,definition,
% 2.96/1.57      ( inCongP
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( A = B )
% 2.96/1.57           => ! [Xx: $i,Xy: $i] :
% 2.96/1.57                ( ( Xx = Xy )
% 2.96/1.57               => ( ( in @ Xx @ A )
% 2.96/1.57                 => ( in @ Xy @ B ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(in__Cong_type,type,
% 2.96/1.57      in__Cong: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(in__Cong,definition,
% 2.96/1.57      ( in__Cong
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( A = B )
% 2.96/1.57           => ! [Xx: $i,Xy: $i] :
% 2.96/1.57                ( ( Xx = Xy )
% 2.96/1.57               => ( ( in @ Xx @ A )
% 2.96/1.57                <=> ( in @ Xy @ B ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(exuE3u_type,type,
% 2.96/1.57      exuE3u: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(exuE3u,definition,
% 2.96/1.57      ( exuE3u
% 2.96/1.57      = ( ! [Xphi: $i > $o] :
% 2.96/1.57            ( ( exu
% 2.96/1.57              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.57           => ! [Xx: $i,Xy: $i] :
% 2.96/1.57                ( ( Xphi @ Xx )
% 2.96/1.57               => ( ( Xphi @ Xy )
% 2.96/1.57                 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(exu__Cong_type,type,
% 2.96/1.57      exu__Cong: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(exu__Cong,definition,
% 2.96/1.57      ( exu__Cong
% 2.96/1.57      = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.96/1.57            ( ! [Xx: $i,Xy: $i] :
% 2.96/1.57                ( ( Xx = Xy )
% 2.96/1.57               => ( ( Xphi @ Xx )
% 2.96/1.57                <=> ( Xpsi @ Xy ) ) )
% 2.96/1.57           => ( ( exu
% 2.96/1.57                @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.57            <=> ( exu
% 2.96/1.57                @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(emptyset__Cong_type,type,
% 2.96/1.57      emptyset__Cong: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(emptyset__Cong,definition,
% 2.96/1.57      ( emptyset__Cong
% 2.96/1.57      = ( emptyset = emptyset ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoin__Cong_type,type,
% 2.96/1.57      setadjoin__Cong: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoin__Cong,definition,
% 2.96/1.57      ( setadjoin__Cong
% 2.96/1.57      = ( ! [Xx: $i,Xy: $i] :
% 2.96/1.57            ( ( Xx = Xy )
% 2.96/1.57           => ! [Xz: $i,Xu: $i] :
% 2.96/1.57                ( ( Xz = Xu )
% 2.96/1.57               => ( ( setadjoin @ Xx @ Xz )
% 2.96/1.57                  = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(powerset__Cong_type,type,
% 2.96/1.57      powerset__Cong: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(powerset__Cong,definition,
% 2.96/1.57      ( powerset__Cong
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( A = B )
% 2.96/1.57           => ( ( powerset @ A )
% 2.96/1.57              = ( powerset @ B ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setunion__Cong_type,type,
% 2.96/1.57      setunion__Cong: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setunion__Cong,definition,
% 2.96/1.57      ( setunion__Cong
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( A = B )
% 2.96/1.57           => ( ( setunion @ A )
% 2.96/1.57              = ( setunion @ B ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(omega__Cong_type,type,
% 2.96/1.57      omega__Cong: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(omega__Cong,definition,
% 2.96/1.57      ( omega__Cong
% 2.96/1.57      = ( omega = omega ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(exuEu_type,type,
% 2.96/1.57      exuEu: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(exuEu,definition,
% 2.96/1.57      ( exuEu
% 2.96/1.57      = ( ! [Xphi: $i > $o] :
% 2.96/1.57            ( ( exu
% 2.96/1.57              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.57           => ! [Xx: $i,Xy: $i] :
% 2.96/1.57                ( ( Xphi @ Xx )
% 2.96/1.57               => ( ( Xphi @ Xy )
% 2.96/1.57                 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(descr__Cong_type,type,
% 2.96/1.57      descr__Cong: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(descr__Cong,definition,
% 2.96/1.57      ( descr__Cong
% 2.96/1.57      = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.96/1.57            ( ! [Xx: $i,Xy: $i] :
% 2.96/1.57                ( ( Xx = Xy )
% 2.96/1.57               => ( ( Xphi @ Xx )
% 2.96/1.57                <=> ( Xpsi @ Xy ) ) )
% 2.96/1.57           => ( ( exu
% 2.96/1.57                @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.57             => ( ( exu
% 2.96/1.57                  @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
% 2.96/1.57               => ( ( descr
% 2.96/1.57                    @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.57                  = ( descr
% 2.96/1.57                    @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(dsetconstr__Cong_type,type,
% 2.96/1.57      dsetconstr__Cong: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(dsetconstr__Cong,definition,
% 2.96/1.57      ( dsetconstr__Cong
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( A = B )
% 2.96/1.57           => ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.96/1.57                ( ! [Xx: $i] :
% 2.96/1.57                    ( ( in @ Xx @ A )
% 2.96/1.57                   => ! [Xy: $i] :
% 2.96/1.57                        ( ( in @ Xy @ B )
% 2.96/1.57                       => ( ( Xx = Xy )
% 2.96/1.57                         => ( ( Xphi @ Xx )
% 2.96/1.57                          <=> ( Xpsi @ Xy ) ) ) ) )
% 2.96/1.57               => ( ( dsetconstr @ A
% 2.96/1.57                    @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.57                  = ( dsetconstr @ B
% 2.96/1.57                    @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(subset_type,type,
% 2.96/1.57      subset: $i > $i > $o ).
% 2.96/1.57  
% 2.96/1.57  thf(disjoint_type,type,
% 2.96/1.57      disjoint: $i > $i > $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setsmeet_type,type,
% 2.96/1.57      setsmeet: $i > $i > $o ).
% 2.96/1.57  
% 2.96/1.57  thf(subsetI1_type,type,
% 2.96/1.57      subsetI1: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(subsetI1,definition,
% 2.96/1.57      ( subsetI1
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ! [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ A )
% 2.96/1.57               => ( in @ Xx @ B ) )
% 2.96/1.57           => ( subset @ A @ B ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(eqimpsubset2_type,type,
% 2.96/1.57      eqimpsubset2: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(eqimpsubset2,definition,
% 2.96/1.57      ( eqimpsubset2
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( A = B )
% 2.96/1.57           => ( subset @ B @ A ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(eqimpsubset1_type,type,
% 2.96/1.57      eqimpsubset1: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(eqimpsubset1,definition,
% 2.96/1.57      ( eqimpsubset1
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( A = B )
% 2.96/1.57           => ( subset @ A @ B ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(subsetI2_type,type,
% 2.96/1.57      subsetI2: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(subsetI2,definition,
% 2.96/1.57      ( subsetI2
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ! [Xx: $i] :
% 2.96/1.57                ( ( in @ Xx @ A )
% 2.96/1.57               => ( in @ Xx @ B ) )
% 2.96/1.57           => ( subset @ A @ B ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(emptysetsubset_type,type,
% 2.96/1.57      emptysetsubset: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(emptysetsubset,definition,
% 2.96/1.57      ( emptysetsubset
% 2.96/1.57      = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(subsetE_type,type,
% 2.96/1.57      subsetE: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(subsetE,definition,
% 2.96/1.57      ( subsetE
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.57            ( ( subset @ A @ B )
% 2.96/1.57           => ( ( in @ Xx @ A )
% 2.96/1.57             => ( in @ Xx @ B ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(subsetE2_type,type,
% 2.96/1.57      subsetE2: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(subsetE2,definition,
% 2.96/1.57      ( subsetE2
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.57            ( ( subset @ A @ B )
% 2.96/1.57           => ( ~ ( in @ Xx @ B )
% 2.96/1.57             => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(notsubsetI_type,type,
% 2.96/1.57      notsubsetI: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(notsubsetI,definition,
% 2.96/1.57      ( notsubsetI
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ A )
% 2.96/1.57           => ( ~ ( in @ Xx @ B )
% 2.96/1.57             => ~ ( subset @ A @ B ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(notequalI1_type,type,
% 2.96/1.57      notequalI1: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(notequalI1,definition,
% 2.96/1.57      ( notequalI1
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ~ ( subset @ A @ B )
% 2.96/1.57           => ( A != B ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(notequalI2_type,type,
% 2.96/1.57      notequalI2: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(notequalI2,definition,
% 2.96/1.57      ( notequalI2
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ A )
% 2.96/1.57           => ( ~ ( in @ Xx @ B )
% 2.96/1.57             => ( A != B ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(subsetRefl_type,type,
% 2.96/1.57      subsetRefl: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(subsetRefl,definition,
% 2.96/1.57      ( subsetRefl
% 2.96/1.57      = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(subsetTrans_type,type,
% 2.96/1.57      subsetTrans: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(subsetTrans,definition,
% 2.96/1.57      ( subsetTrans
% 2.96/1.57      = ( ! [A: $i,B: $i,C: $i] :
% 2.96/1.57            ( ( subset @ A @ B )
% 2.96/1.57           => ( ( subset @ B @ C )
% 2.96/1.57             => ( subset @ A @ C ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoinSub_type,type,
% 2.96/1.57      setadjoinSub: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoinSub,definition,
% 2.96/1.57      ( setadjoinSub
% 2.96/1.57      = ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoinSub2_type,type,
% 2.96/1.57      setadjoinSub2: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setadjoinSub2,definition,
% 2.96/1.57      ( setadjoinSub2
% 2.96/1.57      = ( ! [A: $i,Xx: $i,B: $i] :
% 2.96/1.57            ( ( subset @ A @ B )
% 2.96/1.57           => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(subset2powerset_type,type,
% 2.96/1.57      subset2powerset: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(subset2powerset,definition,
% 2.96/1.57      ( subset2powerset
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( subset @ A @ B )
% 2.96/1.57           => ( in @ A @ ( powerset @ B ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setextsub_type,type,
% 2.96/1.57      setextsub: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setextsub,definition,
% 2.96/1.57      ( setextsub
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( subset @ A @ B )
% 2.96/1.57           => ( ( subset @ B @ A )
% 2.96/1.57             => ( A = B ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(subsetemptysetimpeq_type,type,
% 2.96/1.57      subsetemptysetimpeq: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(subsetemptysetimpeq,definition,
% 2.96/1.57      ( subsetemptysetimpeq
% 2.96/1.57      = ( ! [A: $i] :
% 2.96/1.57            ( ( subset @ A @ emptyset )
% 2.96/1.57           => ( A = emptyset ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(powersetI1_type,type,
% 2.96/1.57      powersetI1: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(powersetI1,definition,
% 2.96/1.57      ( powersetI1
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( subset @ B @ A )
% 2.96/1.57           => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(powersetE1_type,type,
% 2.96/1.57      powersetE1: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(powersetE1,definition,
% 2.96/1.57      ( powersetE1
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( in @ B @ ( powerset @ A ) )
% 2.96/1.57           => ( subset @ B @ A ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(inPowerset_type,type,
% 2.96/1.57      inPowerset: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(inPowerset,definition,
% 2.96/1.57      ( inPowerset
% 2.96/1.57      = ( ! [A: $i] : ( in @ A @ ( powerset @ A ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(powersetsubset_type,type,
% 2.96/1.57      powersetsubset: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(powersetsubset,definition,
% 2.96/1.57      ( powersetsubset
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( subset @ A @ B )
% 2.96/1.57           => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(sepInPowerset_type,type,
% 2.96/1.57      sepInPowerset: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(sepInPowerset,definition,
% 2.96/1.57      ( sepInPowerset
% 2.96/1.57      = ( ! [A: $i,Xphi: $i > $o] :
% 2.96/1.57            ( in
% 2.96/1.57            @ ( dsetconstr @ A
% 2.96/1.57              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.57            @ ( powerset @ A ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(sepSubset_type,type,
% 2.96/1.57      sepSubset: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(sepSubset,definition,
% 2.96/1.57      ( sepSubset
% 2.96/1.57      = ( ! [A: $i,Xphi: $i > $o] :
% 2.96/1.57            ( subset
% 2.96/1.57            @ ( dsetconstr @ A
% 2.96/1.57              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.57            @ A ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binunion_type,type,
% 2.96/1.57      binunion: $i > $i > $i ).
% 2.96/1.57  
% 2.96/1.57  thf(binunionIL_type,type,
% 2.96/1.57      binunionIL: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binunionIL,definition,
% 2.96/1.57      ( binunionIL
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ A )
% 2.96/1.57           => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(upairset2IR_type,type,
% 2.96/1.57      upairset2IR: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(upairset2IR,definition,
% 2.96/1.57      ( upairset2IR
% 2.96/1.57      = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binunionIR_type,type,
% 2.96/1.57      binunionIR: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binunionIR,definition,
% 2.96/1.57      ( binunionIR
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ B )
% 2.96/1.57           => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binunionEcases_type,type,
% 2.96/1.57      binunionEcases: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binunionEcases,definition,
% 2.96/1.57      ( binunionEcases
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
% 2.96/1.57            ( ( in @ Xx @ ( binunion @ A @ B ) )
% 2.96/1.57           => ( ( ( in @ Xx @ A )
% 2.96/1.57               => Xphi )
% 2.96/1.57             => ( ( ( in @ Xx @ B )
% 2.96/1.57                 => Xphi )
% 2.96/1.57               => Xphi ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binunionE_type,type,
% 2.96/1.57      binunionE: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binunionE,definition,
% 2.96/1.57      ( binunionE
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ ( binunion @ A @ B ) )
% 2.96/1.57           => ( ( in @ Xx @ A )
% 2.96/1.57              | ( in @ Xx @ B ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binunionLsub_type,type,
% 2.96/1.57      binunionLsub: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binunionLsub,definition,
% 2.96/1.57      ( binunionLsub
% 2.96/1.57      = ( ! [A: $i,B: $i] : ( subset @ A @ ( binunion @ A @ B ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binunionRsub_type,type,
% 2.96/1.57      binunionRsub: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binunionRsub,definition,
% 2.96/1.57      ( binunionRsub
% 2.96/1.57      = ( ! [A: $i,B: $i] : ( subset @ B @ ( binunion @ A @ B ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersect_type,type,
% 2.96/1.57      binintersect: $i > $i > $i ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectI_type,type,
% 2.96/1.57      binintersectI: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectI,definition,
% 2.96/1.57      ( binintersectI
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ A )
% 2.96/1.57           => ( ( in @ Xx @ B )
% 2.96/1.57             => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectSubset5_type,type,
% 2.96/1.57      binintersectSubset5: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectSubset5,definition,
% 2.96/1.57      ( binintersectSubset5
% 2.96/1.57      = ( ! [A: $i,B: $i,C: $i] :
% 2.96/1.57            ( ( subset @ C @ A )
% 2.96/1.57           => ( ( subset @ C @ B )
% 2.96/1.57             => ( subset @ C @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectEL_type,type,
% 2.96/1.57      binintersectEL: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectEL,definition,
% 2.96/1.57      ( binintersectEL
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 2.96/1.57           => ( in @ Xx @ A ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectLsub_type,type,
% 2.96/1.57      binintersectLsub: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectLsub,definition,
% 2.96/1.57      ( binintersectLsub
% 2.96/1.57      = ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ A ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectSubset2_type,type,
% 2.96/1.57      binintersectSubset2: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectSubset2,definition,
% 2.96/1.57      ( binintersectSubset2
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( subset @ A @ B )
% 2.96/1.57           => ( ( binintersect @ A @ B )
% 2.96/1.57              = A ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectSubset3_type,type,
% 2.96/1.57      binintersectSubset3: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectSubset3,definition,
% 2.96/1.57      ( binintersectSubset3
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( ( binintersect @ A @ B )
% 2.96/1.57              = B )
% 2.96/1.57           => ( subset @ B @ A ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectER_type,type,
% 2.96/1.57      binintersectER: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectER,definition,
% 2.96/1.57      ( binintersectER
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 2.96/1.57           => ( in @ Xx @ B ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(disjointsetsI1_type,type,
% 2.96/1.57      disjointsetsI1: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(disjointsetsI1,definition,
% 2.96/1.57      ( disjointsetsI1
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ~ ? [Xx: $i] :
% 2.96/1.57                  ( ( in @ Xx @ A )
% 2.96/1.57                  & ( in @ Xx @ B ) )
% 2.96/1.57           => ( ( binintersect @ A @ B )
% 2.96/1.57              = emptyset ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectRsub_type,type,
% 2.96/1.57      binintersectRsub: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectRsub,definition,
% 2.96/1.57      ( binintersectRsub
% 2.96/1.57      = ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ B ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectSubset4_type,type,
% 2.96/1.57      binintersectSubset4: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectSubset4,definition,
% 2.96/1.57      ( binintersectSubset4
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( subset @ B @ A )
% 2.96/1.57           => ( ( binintersect @ A @ B )
% 2.96/1.57              = B ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectSubset1_type,type,
% 2.96/1.57      binintersectSubset1: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(binintersectSubset1,definition,
% 2.96/1.57      ( binintersectSubset1
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( ( binintersect @ A @ B )
% 2.96/1.57              = A )
% 2.96/1.57           => ( subset @ A @ B ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(bs114d_type,type,
% 2.96/1.57      bs114d: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(bs114d,definition,
% 2.96/1.57      ( bs114d
% 2.96/1.57      = ( ! [A: $i,B: $i,C: $i] :
% 2.96/1.57            ( ( binintersect @ A @ ( binunion @ B @ C ) )
% 2.96/1.57            = ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(regular_type,type,
% 2.96/1.57      regular: $i > $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setminus_type,type,
% 2.96/1.57      setminus: $i > $i > $i ).
% 2.96/1.57  
% 2.96/1.57  thf(setminusI_type,type,
% 2.96/1.57      setminusI: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setminusI,definition,
% 2.96/1.57      ( setminusI
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ A )
% 2.96/1.57           => ( ~ ( in @ Xx @ B )
% 2.96/1.57             => ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setminusEL_type,type,
% 2.96/1.57      setminusEL: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setminusEL,definition,
% 2.96/1.57      ( setminusEL
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ ( setminus @ A @ B ) )
% 2.96/1.57           => ( in @ Xx @ A ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setminusER_type,type,
% 2.96/1.57      setminusER: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setminusER,definition,
% 2.96/1.57      ( setminusER
% 2.96/1.57      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.57            ( ( in @ Xx @ ( setminus @ A @ B ) )
% 2.96/1.57           => ~ ( in @ Xx @ B ) ) ) ) ).
% 2.96/1.57  
% 2.96/1.57  thf(setminusSubset2_type,type,
% 2.96/1.57      setminusSubset2: $o ).
% 2.96/1.57  
% 2.96/1.57  thf(setminusSubset2,definition,
% 2.96/1.57      ( setminusSubset2
% 2.96/1.57      = ( ! [A: $i,B: $i] :
% 2.96/1.57            ( ( subset @ A @ B )
% 2.96/1.58           => ( ( setminus @ A @ B )
% 2.96/1.58              = emptyset ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setminusERneg_type,type,
% 2.96/1.58      setminusERneg: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setminusERneg,definition,
% 2.96/1.58      ( setminusERneg
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ~ ( in @ Xx @ ( setminus @ A @ B ) )
% 2.96/1.58           => ( ( in @ Xx @ A )
% 2.96/1.58             => ( in @ Xx @ B ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setminusELneg_type,type,
% 2.96/1.58      setminusELneg: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setminusELneg,definition,
% 2.96/1.58      ( setminusELneg
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ~ ( in @ Xx @ ( setminus @ A @ B ) )
% 2.96/1.58           => ( ~ ( in @ Xx @ B )
% 2.96/1.58             => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setminusILneg_type,type,
% 2.96/1.58      setminusILneg: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setminusILneg,definition,
% 2.96/1.58      ( setminusILneg
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ~ ( in @ Xx @ A )
% 2.96/1.58           => ~ ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setminusIRneg_type,type,
% 2.96/1.58      setminusIRneg: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setminusIRneg,definition,
% 2.96/1.58      ( setminusIRneg
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ B )
% 2.96/1.58           => ~ ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setminusLsub_type,type,
% 2.96/1.58      setminusLsub: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setminusLsub,definition,
% 2.96/1.58      ( setminusLsub
% 2.96/1.58      = ( ! [A: $i,B: $i] : ( subset @ ( setminus @ A @ B ) @ A ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setminusSubset1_type,type,
% 2.96/1.58      setminusSubset1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setminusSubset1,definition,
% 2.96/1.58      ( setminusSubset1
% 2.96/1.58      = ( ! [A: $i,B: $i] :
% 2.96/1.58            ( ( ( setminus @ A @ B )
% 2.96/1.58              = emptyset )
% 2.96/1.58           => ( subset @ A @ B ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(symdiff_type,type,
% 2.96/1.58      symdiff: $i > $i > $i ).
% 2.96/1.58  
% 2.96/1.58  thf(symdiffE_type,type,
% 2.96/1.58      symdiffE: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(symdiffE,definition,
% 2.96/1.58      ( symdiffE
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ ( symdiff @ A @ B ) )
% 2.96/1.58           => ! [Xphi: $o] :
% 2.96/1.58                ( ( ( in @ Xx @ A )
% 2.96/1.58                 => ( ~ ( in @ Xx @ B )
% 2.96/1.58                   => Xphi ) )
% 2.96/1.58               => ( ( ~ ( in @ Xx @ A )
% 2.96/1.58                   => ( ( in @ Xx @ B )
% 2.96/1.58                     => Xphi ) )
% 2.96/1.58                 => Xphi ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(symdiffI1_type,type,
% 2.96/1.58      symdiffI1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(symdiffI1,definition,
% 2.96/1.58      ( symdiffI1
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ( ~ ( in @ Xx @ B )
% 2.96/1.58             => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(symdiffI2_type,type,
% 2.96/1.58      symdiffI2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(symdiffI2,definition,
% 2.96/1.58      ( symdiffI2
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ~ ( in @ Xx @ A )
% 2.96/1.58           => ( ( in @ Xx @ B )
% 2.96/1.58             => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(symdiffIneg1_type,type,
% 2.96/1.58      symdiffIneg1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(symdiffIneg1,definition,
% 2.96/1.58      ( symdiffIneg1
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ( ( in @ Xx @ B )
% 2.96/1.58             => ~ ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(symdiffIneg2_type,type,
% 2.96/1.58      symdiffIneg2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(symdiffIneg2,definition,
% 2.96/1.58      ( symdiffIneg2
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ~ ( in @ Xx @ A )
% 2.96/1.58           => ( ~ ( in @ Xx @ B )
% 2.96/1.58             => ~ ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(iskpair_type,type,
% 2.96/1.58      iskpair: $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(secondinupair_type,type,
% 2.96/1.58      secondinupair: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(secondinupair,definition,
% 2.96/1.58      ( secondinupair
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairIL_type,type,
% 2.96/1.58      setukpairIL: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairIL,definition,
% 2.96/1.58      ( setukpairIL
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setunion @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairIR_type,type,
% 2.96/1.58      setukpairIR: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairIR,definition,
% 2.96/1.58      ( setukpairIR
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setunion @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(kpairiskpair_type,type,
% 2.96/1.58      kpairiskpair: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(kpairiskpair,definition,
% 2.96/1.58      ( kpairiskpair
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i] : ( iskpair @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(kpair_type,type,
% 2.96/1.58      kpair: $i > $i > $i ).
% 2.96/1.58  
% 2.96/1.58  thf(kpairp_type,type,
% 2.96/1.58      kpairp: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(kpairp,definition,
% 2.96/1.58      ( kpairp
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i] : ( iskpair @ ( kpair @ Xx @ Xy ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprod_type,type,
% 2.96/1.58      cartprod: $i > $i > $i ).
% 2.96/1.58  
% 2.96/1.58  thf(singletonsubset_type,type,
% 2.96/1.58      singletonsubset: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(singletonsubset,definition,
% 2.96/1.58      ( singletonsubset
% 2.96/1.58      = ( ! [A: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(singletoninpowerset_type,type,
% 2.96/1.58      singletoninpowerset: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(singletoninpowerset,definition,
% 2.96/1.58      ( singletoninpowerset
% 2.96/1.58      = ( ! [A: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(singletoninpowunion_type,type,
% 2.96/1.58      singletoninpowunion: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(singletoninpowunion,definition,
% 2.96/1.58      ( singletoninpowunion
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(upairset2E_type,type,
% 2.96/1.58      upairset2E: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(upairset2E,definition,
% 2.96/1.58      ( upairset2E
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 2.96/1.58            ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 2.96/1.58           => ( ( Xz = Xx )
% 2.96/1.58              | ( Xz = Xy ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(upairsubunion_type,type,
% 2.96/1.58      upairsubunion: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(upairsubunion,definition,
% 2.96/1.58      ( upairsubunion
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ B )
% 2.96/1.58               => ( subset @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ ( binunion @ A @ B ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(upairinpowunion_type,type,
% 2.96/1.58      upairinpowunion: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(upairinpowunion,definition,
% 2.96/1.58      ( upairinpowunion
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ B )
% 2.96/1.58               => ( in @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(ubforcartprodlem1_type,type,
% 2.96/1.58      ubforcartprodlem1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ubforcartprodlem1,definition,
% 2.96/1.58      ( ubforcartprodlem1
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ B )
% 2.96/1.58               => ( subset @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(ubforcartprodlem2_type,type,
% 2.96/1.58      ubforcartprodlem2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ubforcartprodlem2,definition,
% 2.96/1.58      ( ubforcartprodlem2
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ B )
% 2.96/1.58               => ( in @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(ubforcartprodlem3_type,type,
% 2.96/1.58      ubforcartprodlem3: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ubforcartprodlem3,definition,
% 2.96/1.58      ( ubforcartprodlem3
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ B )
% 2.96/1.58               => ( in @ ( kpair @ Xx @ Xy ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodpairin_type,type,
% 2.96/1.58      cartprodpairin: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodpairin,definition,
% 2.96/1.58      ( cartprodpairin
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ B )
% 2.96/1.58               => ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodmempair1_type,type,
% 2.96/1.58      cartprodmempair1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodmempair1,definition,
% 2.96/1.58      ( cartprodmempair1
% 2.96/1.58      = ( ! [A: $i,B: $i,Xu: $i] :
% 2.96/1.58            ( ( in @ Xu @ ( cartprod @ A @ B ) )
% 2.96/1.58           => ? [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58                & ? [Xy: $i] :
% 2.96/1.58                    ( ( in @ Xy @ B )
% 2.96/1.58                    & ( Xu
% 2.96/1.58                      = ( kpair @ Xx @ Xy ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodmempair_type,type,
% 2.96/1.58      cartprodmempair: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodmempair,definition,
% 2.96/1.58      ( cartprodmempair
% 2.96/1.58      = ( ! [A: $i,B: $i,Xu: $i] :
% 2.96/1.58            ( ( in @ Xu @ ( cartprod @ A @ B ) )
% 2.96/1.58           => ( iskpair @ Xu ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setunionE2_type,type,
% 2.96/1.58      setunionE2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setunionE2,definition,
% 2.96/1.58      ( setunionE2
% 2.96/1.58      = ( ! [A: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ ( setunion @ A ) )
% 2.96/1.58           => ? [X: $i] :
% 2.96/1.58                ( ( in @ X @ A )
% 2.96/1.58                & ( in @ Xx @ X ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setunionsingleton1_type,type,
% 2.96/1.58      setunionsingleton1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setunionsingleton1,definition,
% 2.96/1.58      ( setunionsingleton1
% 2.96/1.58      = ( ! [A: $i] : ( subset @ ( setunion @ ( setadjoin @ A @ emptyset ) ) @ A ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setunionsingleton2_type,type,
% 2.96/1.58      setunionsingleton2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setunionsingleton2,definition,
% 2.96/1.58      ( setunionsingleton2
% 2.96/1.58      = ( ! [A: $i] : ( subset @ A @ ( setunion @ ( setadjoin @ A @ emptyset ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setunionsingleton_type,type,
% 2.96/1.58      setunionsingleton: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setunionsingleton,definition,
% 2.96/1.58      ( setunionsingleton
% 2.96/1.58      = ( ! [Xx: $i] :
% 2.96/1.58            ( ( setunion @ ( setadjoin @ Xx @ emptyset ) )
% 2.96/1.58            = Xx ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(singleton_type,type,
% 2.96/1.58      singleton: $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(singletonprop_type,type,
% 2.96/1.58      singletonprop: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(singletonprop,definition,
% 2.96/1.58      ( singletonprop
% 2.96/1.58      = ( ! [A: $i,Xphi: $i > $o] :
% 2.96/1.58            ( ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ! [Xy: $i] :
% 2.96/1.58                    ( ( in @ Xy @ A )
% 2.96/1.58                   => ( ( Xphi @ Xx )
% 2.96/1.58                     => ( ( Xphi @ Xy )
% 2.96/1.58                       => ( Xx = Xy ) ) ) ) )
% 2.96/1.58           => ( ? [Xx: $i] :
% 2.96/1.58                  ( ( in @ Xx @ A )
% 2.96/1.58                  & ( Xphi @ Xx ) )
% 2.96/1.58             => ( singleton
% 2.96/1.58                @ ( dsetconstr @ A
% 2.96/1.58                  @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(ex1_type,type,
% 2.96/1.58      ex1: $i > ( $i > $o ) > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ex1E1_type,type,
% 2.96/1.58      ex1E1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ex1E1,definition,
% 2.96/1.58      ( ex1E1
% 2.96/1.58      = ( ! [A: $i,Xphi: $i > $o] :
% 2.96/1.58            ( ( ex1 @ A
% 2.96/1.58              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.58           => ? [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58                & ( Xphi @ Xx ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(ex1I_type,type,
% 2.96/1.58      ex1I: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ex1I,definition,
% 2.96/1.58      ( ex1I
% 2.96/1.58      = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ( ( Xphi @ Xx )
% 2.96/1.58             => ( ! [Xy: $i] :
% 2.96/1.58                    ( ( in @ Xy @ A )
% 2.96/1.58                   => ( ( Xphi @ Xy )
% 2.96/1.58                     => ( Xy = Xx ) ) )
% 2.96/1.58               => ( ex1 @ A
% 2.96/1.58                  @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(ex1I2_type,type,
% 2.96/1.58      ex1I2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ex1I2,definition,
% 2.96/1.58      ( ex1I2
% 2.96/1.58      = ( ! [A: $i,Xphi: $i > $o] :
% 2.96/1.58            ( ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ! [Xy: $i] :
% 2.96/1.58                    ( ( in @ Xy @ A )
% 2.96/1.58                   => ( ( Xphi @ Xx )
% 2.96/1.58                     => ( ( Xphi @ Xy )
% 2.96/1.58                       => ( Xx = Xy ) ) ) ) )
% 2.96/1.58           => ( ? [Xx: $i] :
% 2.96/1.58                  ( ( in @ Xx @ A )
% 2.96/1.58                  & ( Xphi @ Xx ) )
% 2.96/1.58             => ( ex1 @ A
% 2.96/1.58                @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(singletonsuniq_type,type,
% 2.96/1.58      singletonsuniq: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(singletonsuniq,definition,
% 2.96/1.58      ( singletonsuniq
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i] :
% 2.96/1.58            ( ( ( setadjoin @ Xx @ emptyset )
% 2.96/1.58              = ( setadjoin @ Xy @ emptyset ) )
% 2.96/1.58           => ( Xx = Xy ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(atmost1p_type,type,
% 2.96/1.58      atmost1p: $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(atleast2p_type,type,
% 2.96/1.58      atleast2p: $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(atmost2p_type,type,
% 2.96/1.58      atmost2p: $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(upairsetp_type,type,
% 2.96/1.58      upairsetp: $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjL1_type,type,
% 2.96/1.58      setukpairinjL1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjL1,definition,
% 2.96/1.58      ( setukpairinjL1
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 2.96/1.58            ( ( in @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) )
% 2.96/1.58           => ( Xx = Xz ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(kfstsingleton_type,type,
% 2.96/1.58      kfstsingleton: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(kfstsingleton,definition,
% 2.96/1.58      ( kfstsingleton
% 2.96/1.58      = ( ! [Xu: $i] :
% 2.96/1.58            ( ( iskpair @ Xu )
% 2.96/1.58           => ( singleton
% 2.96/1.58              @ ( dsetconstr @ ( setunion @ Xu )
% 2.96/1.58                @ ^ [Xx: $i] : ( in @ ( setadjoin @ Xx @ emptyset ) @ Xu ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(theprop_type,type,
% 2.96/1.58      theprop: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(theprop,definition,
% 2.96/1.58      ( theprop
% 2.96/1.58      = ( ! [X: $i] :
% 2.96/1.58            ( ( singleton @ X )
% 2.96/1.58           => ( in @ ( setunion @ X ) @ X ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(kfst_type,type,
% 2.96/1.58      kfst: $i > $i ).
% 2.96/1.58  
% 2.96/1.58  thf(kfstpairEq_type,type,
% 2.96/1.58      kfstpairEq: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(kfstpairEq,definition,
% 2.96/1.58      ( kfstpairEq
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i] :
% 2.96/1.58            ( ( kfst @ ( kpair @ Xx @ Xy ) )
% 2.96/1.58            = Xx ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodfstin_type,type,
% 2.96/1.58      cartprodfstin: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodfstin,definition,
% 2.96/1.58      ( cartprodfstin
% 2.96/1.58      = ( ! [A: $i,B: $i,Xu: $i] :
% 2.96/1.58            ( ( in @ Xu @ ( cartprod @ A @ B ) )
% 2.96/1.58           => ( in @ ( kfst @ Xu ) @ A ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjL2_type,type,
% 2.96/1.58      setukpairinjL2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjL2,definition,
% 2.96/1.58      ( setukpairinjL2
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
% 2.96/1.58            ( ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
% 2.96/1.58              = ( setadjoin @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) )
% 2.96/1.58           => ( Xx = Xz ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjL_type,type,
% 2.96/1.58      setukpairinjL: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjL,definition,
% 2.96/1.58      ( setukpairinjL
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
% 2.96/1.58            ( ( ( kpair @ Xx @ Xy )
% 2.96/1.58              = ( kpair @ Xz @ Xu ) )
% 2.96/1.58           => ( Xx = Xz ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjR11_type,type,
% 2.96/1.58      setukpairinjR11: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjR11,definition,
% 2.96/1.58      ( setukpairinjR11
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i] :
% 2.96/1.58            ( ( Xx = Xy )
% 2.96/1.58           => ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 2.96/1.58              = ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjR12_type,type,
% 2.96/1.58      setukpairinjR12: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjR12,definition,
% 2.96/1.58      ( setukpairinjR12
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i] :
% 2.96/1.58            ( ( Xx = Xy )
% 2.96/1.58           => ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
% 2.96/1.58              = ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ emptyset ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjR1_type,type,
% 2.96/1.58      setukpairinjR1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjR1,definition,
% 2.96/1.58      ( setukpairinjR1
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
% 2.96/1.58            ( ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
% 2.96/1.58              = ( setadjoin @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) )
% 2.96/1.58           => ( ( Xz = Xu )
% 2.96/1.58             => ( Xy = Xu ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(upairequniteq_type,type,
% 2.96/1.58      upairequniteq: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(upairequniteq,definition,
% 2.96/1.58      ( upairequniteq
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 2.96/1.58            ( ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 2.96/1.58              = ( setadjoin @ Xz @ emptyset ) )
% 2.96/1.58           => ( Xx = Xy ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjR2_type,type,
% 2.96/1.58      setukpairinjR2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjR2,definition,
% 2.96/1.58      ( setukpairinjR2
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
% 2.96/1.58            ( ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
% 2.96/1.58              = ( setadjoin @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) )
% 2.96/1.58           => ( Xy = Xu ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjR_type,type,
% 2.96/1.58      setukpairinjR: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setukpairinjR,definition,
% 2.96/1.58      ( setukpairinjR
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
% 2.96/1.58            ( ( ( kpair @ Xx @ Xy )
% 2.96/1.58              = ( kpair @ Xz @ Xu ) )
% 2.96/1.58           => ( Xy = Xu ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(ksndsingleton_type,type,
% 2.96/1.58      ksndsingleton: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ksndsingleton,definition,
% 2.96/1.58      ( ksndsingleton
% 2.96/1.58      = ( ! [Xu: $i] :
% 2.96/1.58            ( ( iskpair @ Xu )
% 2.96/1.58           => ( singleton
% 2.96/1.58              @ ( dsetconstr @ ( setunion @ Xu )
% 2.96/1.58                @ ^ [Xx: $i] :
% 2.96/1.58                    ( Xu
% 2.96/1.58                    = ( kpair @ ( kfst @ Xu ) @ Xx ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(ksnd_type,type,
% 2.96/1.58      ksnd: $i > $i ).
% 2.96/1.58  
% 2.96/1.58  thf(ksndpairEq_type,type,
% 2.96/1.58      ksndpairEq: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ksndpairEq,definition,
% 2.96/1.58      ( ksndpairEq
% 2.96/1.58      = ( ! [Xx: $i,Xy: $i] :
% 2.96/1.58            ( ( ksnd @ ( kpair @ Xx @ Xy ) )
% 2.96/1.58            = Xy ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(kpairsurjEq_type,type,
% 2.96/1.58      kpairsurjEq: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(kpairsurjEq,definition,
% 2.96/1.58      ( kpairsurjEq
% 2.96/1.58      = ( ! [Xu: $i] :
% 2.96/1.58            ( ( iskpair @ Xu )
% 2.96/1.58           => ( ( kpair @ ( kfst @ Xu ) @ ( ksnd @ Xu ) )
% 2.96/1.58              = Xu ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodsndin_type,type,
% 2.96/1.58      cartprodsndin: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodsndin,definition,
% 2.96/1.58      ( cartprodsndin
% 2.96/1.58      = ( ! [A: $i,B: $i,Xu: $i] :
% 2.96/1.58            ( ( in @ Xu @ ( cartprod @ A @ B ) )
% 2.96/1.58           => ( in @ ( ksnd @ Xu ) @ B ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodpairmemEL_type,type,
% 2.96/1.58      cartprodpairmemEL: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodpairmemEL,definition,
% 2.96/1.58      ( cartprodpairmemEL
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i,Xy: $i] :
% 2.96/1.58            ( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) )
% 2.96/1.58           => ( in @ Xx @ A ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodpairmemER_type,type,
% 2.96/1.58      cartprodpairmemER: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodpairmemER,definition,
% 2.96/1.58      ( cartprodpairmemER
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i,Xy: $i] :
% 2.96/1.58            ( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) )
% 2.96/1.58           => ( in @ Xy @ B ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodmempaircEq_type,type,
% 2.96/1.58      cartprodmempaircEq: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodmempaircEq,definition,
% 2.96/1.58      ( cartprodmempaircEq
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ B )
% 2.96/1.58               => ( ( kpair @ Xx @ Xy )
% 2.96/1.58                  = ( kpair @ Xx @ Xy ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodfstpairEq_type,type,
% 2.96/1.58      cartprodfstpairEq: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodfstpairEq,definition,
% 2.96/1.58      ( cartprodfstpairEq
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ B )
% 2.96/1.58               => ( ( kfst @ ( kpair @ Xx @ Xy ) )
% 2.96/1.58                  = Xx ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodsndpairEq_type,type,
% 2.96/1.58      cartprodsndpairEq: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodsndpairEq,definition,
% 2.96/1.58      ( cartprodsndpairEq
% 2.96/1.58      = ( ! [A: $i,B: $i,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ B )
% 2.96/1.58               => ( ( ksnd @ ( kpair @ Xx @ Xy ) )
% 2.96/1.58                  = Xy ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodpairsurjEq_type,type,
% 2.96/1.58      cartprodpairsurjEq: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(cartprodpairsurjEq,definition,
% 2.96/1.58      ( cartprodpairsurjEq
% 2.96/1.58      = ( ! [A: $i,B: $i,Xu: $i] :
% 2.96/1.58            ( ( in @ Xu @ ( cartprod @ A @ B ) )
% 2.96/1.58           => ( ( kpair @ ( kfst @ Xu ) @ ( ksnd @ Xu ) )
% 2.96/1.58              = Xu ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(breln_type,type,
% 2.96/1.58      breln: $i > $i > $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(breln,definition,
% 2.96/1.58      ( breln
% 2.96/1.58      = ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(dpsetconstr_type,type,
% 2.96/1.58      dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
% 2.96/1.58  
% 2.96/1.58  thf(dpsetconstrI_type,type,
% 2.96/1.58      dpsetconstrI: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(dpsetconstrI,definition,
% 2.96/1.58      ( dpsetconstrI
% 2.96/1.58      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ B )
% 2.96/1.58               => ( ( Xphi @ Xx @ Xy )
% 2.96/1.58                 => ( in @ ( kpair @ Xx @ Xy )
% 2.96/1.58                    @ ( dpsetconstr @ A @ B
% 2.96/1.58                      @ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(dpsetconstrSub_type,type,
% 2.96/1.58      dpsetconstrSub: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(dpsetconstrSub,definition,
% 2.96/1.58      ( dpsetconstrSub
% 2.96/1.58      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o] :
% 2.96/1.58            ( subset
% 2.96/1.58            @ ( dpsetconstr @ A @ B
% 2.96/1.58              @ ^ [Xx: $i,Xy: $i] : ( Xphi @ Xx @ Xy ) )
% 2.96/1.58            @ ( cartprod @ A @ B ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setOfPairsIsBReln_type,type,
% 2.96/1.58      setOfPairsIsBReln: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setOfPairsIsBReln,definition,
% 2.96/1.58      ( setOfPairsIsBReln
% 2.96/1.58      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o] :
% 2.96/1.58            ( breln @ A @ B
% 2.96/1.58            @ ( dpsetconstr @ A @ B
% 2.96/1.58              @ ^ [Xx: $i,Xy: $i] : ( Xphi @ Xx @ Xy ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(dpsetconstrERa_type,type,
% 2.96/1.58      dpsetconstrERa: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(dpsetconstrERa,definition,
% 2.96/1.58      ( dpsetconstrERa
% 2.96/1.58      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ B )
% 2.96/1.58               => ( ( in @ ( kpair @ Xx @ Xy )
% 2.96/1.58                    @ ( dpsetconstr @ A @ B
% 2.96/1.58                      @ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) )
% 2.96/1.58                 => ( Xphi @ Xx @ Xy ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(dpsetconstrEL1_type,type,
% 2.96/1.58      dpsetconstrEL1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(dpsetconstrEL1,definition,
% 2.96/1.58      ( dpsetconstrEL1
% 2.96/1.58      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i,Xy: $i] :
% 2.96/1.58            ( ( in @ ( kpair @ Xx @ Xy )
% 2.96/1.58              @ ( dpsetconstr @ A @ B
% 2.96/1.58                @ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) )
% 2.96/1.58           => ( in @ Xx @ A ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(dpsetconstrEL2_type,type,
% 2.96/1.58      dpsetconstrEL2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(dpsetconstrEL2,definition,
% 2.96/1.58      ( dpsetconstrEL2
% 2.96/1.58      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i,Xy: $i] :
% 2.96/1.58            ( ( in @ ( kpair @ Xx @ Xy )
% 2.96/1.58              @ ( dpsetconstr @ A @ B
% 2.96/1.58                @ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) )
% 2.96/1.58           => ( in @ Xy @ B ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(dpsetconstrER_type,type,
% 2.96/1.58      dpsetconstrER: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(dpsetconstrER,definition,
% 2.96/1.58      ( dpsetconstrER
% 2.96/1.58      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i,Xy: $i] :
% 2.96/1.58            ( ( in @ ( kpair @ Xx @ Xy )
% 2.96/1.58              @ ( dpsetconstr @ A @ B
% 2.96/1.58                @ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) )
% 2.96/1.58           => ( Xphi @ Xx @ Xy ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(func_type,type,
% 2.96/1.58      func: $i > $i > $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(funcSet_type,type,
% 2.96/1.58      funcSet: $i > $i > $i ).
% 2.96/1.58  
% 2.96/1.58  thf(funcImageSingleton_type,type,
% 2.96/1.58      funcImageSingleton: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(funcImageSingleton,definition,
% 2.96/1.58      ( funcImageSingleton
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( func @ A @ B @ Xf )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( singleton
% 2.96/1.58                  @ ( dsetconstr @ B
% 2.96/1.58                    @ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(apProp_type,type,
% 2.96/1.58      apProp: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(apProp,definition,
% 2.96/1.58      ( apProp
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( func @ A @ B @ Xf )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( in
% 2.96/1.58                  @ ( setunion
% 2.96/1.58                    @ ( dsetconstr @ B
% 2.96/1.58                      @ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) )
% 2.96/1.58                  @ B ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(ap_type,type,
% 2.96/1.58      ap: $i > $i > $i > $i > $i ).
% 2.96/1.58  
% 2.96/1.58  thf(app_type,type,
% 2.96/1.58      app: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(app,definition,
% 2.96/1.58      ( app
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( func @ A @ B @ Xf )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( in @ ( ap @ A @ B @ Xf @ Xx ) @ B ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(infuncsetfunc_type,type,
% 2.96/1.58      infuncsetfunc: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(infuncsetfunc,definition,
% 2.96/1.58      ( infuncsetfunc
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( in @ Xf @ ( funcSet @ A @ B ) )
% 2.96/1.58           => ( func @ A @ B @ Xf ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(ap2p_type,type,
% 2.96/1.58      ap2p: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ap2p,definition,
% 2.96/1.58      ( ap2p
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( in @ Xf @ ( funcSet @ A @ B ) )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( in @ ( ap @ A @ B @ Xf @ Xx ) @ B ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(funcinfuncset_type,type,
% 2.96/1.58      funcinfuncset: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(funcinfuncset,definition,
% 2.96/1.58      ( funcinfuncset
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( func @ A @ B @ Xf )
% 2.96/1.58           => ( in @ Xf @ ( funcSet @ A @ B ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(lamProp_type,type,
% 2.96/1.58      lamProp: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(lamProp,definition,
% 2.96/1.58      ( lamProp
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i > $i] :
% 2.96/1.58            ( ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( in @ ( Xf @ Xx ) @ B ) )
% 2.96/1.58           => ( func @ A @ B
% 2.96/1.58              @ ( dpsetconstr @ A @ B
% 2.96/1.58                @ ^ [Xx: $i,Xy: $i] :
% 2.96/1.58                    ( ( Xf @ Xx )
% 2.96/1.58                    = Xy ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(lam_type,type,
% 2.96/1.58      lam: $i > $i > ( $i > $i ) > $i ).
% 2.96/1.58  
% 2.96/1.58  thf(lamp_type,type,
% 2.96/1.58      lamp: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(lamp,definition,
% 2.96/1.58      ( lamp
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i > $i] :
% 2.96/1.58            ( ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( in @ ( Xf @ Xx ) @ B ) )
% 2.96/1.58           => ( func @ A @ B
% 2.96/1.58              @ ( lam @ A @ B
% 2.96/1.58                @ ^ [Xx: $i] : ( Xf @ Xx ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(lam2p_type,type,
% 2.96/1.58      lam2p: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(lam2p,definition,
% 2.96/1.58      ( lam2p
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i > $i] :
% 2.96/1.58            ( ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( in @ ( Xf @ Xx ) @ B ) )
% 2.96/1.58           => ( in
% 2.96/1.58              @ ( lam @ A @ B
% 2.96/1.58                @ ^ [Xx: $i] : ( Xf @ Xx ) )
% 2.96/1.58              @ ( funcSet @ A @ B ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(brelnall1_type,type,
% 2.96/1.58      brelnall1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(brelnall1,definition,
% 2.96/1.58      ( brelnall1
% 2.96/1.58      = ( ! [A: $i,B: $i,R: $i] :
% 2.96/1.58            ( ( breln @ A @ B @ R )
% 2.96/1.58           => ! [Xphi: $i > $o] :
% 2.96/1.58                ( ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ! [Xy: $i] :
% 2.96/1.58                        ( ( in @ Xy @ B )
% 2.96/1.58                       => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 2.96/1.58                         => ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ R )
% 2.96/1.58                   => ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(brelnall2_type,type,
% 2.96/1.58      brelnall2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(brelnall2,definition,
% 2.96/1.58      ( brelnall2
% 2.96/1.58      = ( ! [A: $i,B: $i,R: $i] :
% 2.96/1.58            ( ( breln @ A @ B @ R )
% 2.96/1.58           => ! [Xphi: $i > $o] :
% 2.96/1.58                ( ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ! [Xy: $i] :
% 2.96/1.58                        ( ( in @ Xy @ B )
% 2.96/1.58                       => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 2.96/1.58                         => ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ R )
% 2.96/1.58                   => ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(ex1E2_type,type,
% 2.96/1.58      ex1E2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ex1E2,definition,
% 2.96/1.58      ( ex1E2
% 2.96/1.58      = ( ! [A: $i,Xphi: $i > $o] :
% 2.96/1.58            ( ( ex1 @ A
% 2.96/1.58              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ! [Xy: $i] :
% 2.96/1.58                    ( ( in @ Xy @ A )
% 2.96/1.58                   => ( ( Xphi @ Xx )
% 2.96/1.58                     => ( ( Xphi @ Xy )
% 2.96/1.58                       => ( Xx = Xy ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(funcGraphProp1_type,type,
% 2.96/1.58      funcGraphProp1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(funcGraphProp1,definition,
% 2.96/1.58      ( funcGraphProp1
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( func @ A @ B @ Xf )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( in @ ( kpair @ Xx @ ( ap @ A @ B @ Xf @ Xx ) ) @ Xf ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(funcGraphProp3_type,type,
% 2.96/1.58      funcGraphProp3: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(funcGraphProp3,definition,
% 2.96/1.58      ( funcGraphProp3
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( in @ Xf @ ( funcSet @ A @ B ) )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( in @ ( kpair @ Xx @ ( ap @ A @ B @ Xf @ Xx ) ) @ Xf ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(funcGraphProp2_type,type,
% 2.96/1.58      funcGraphProp2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(funcGraphProp2,definition,
% 2.96/1.58      ( funcGraphProp2
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( func @ A @ B @ Xf )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ! [Xy: $i] :
% 2.96/1.58                    ( ( in @ Xy @ B )
% 2.96/1.58                   => ( ( in @ ( kpair @ Xx @ Xy ) @ Xf )
% 2.96/1.58                     => ( ( ap @ A @ B @ Xf @ Xx )
% 2.96/1.58                        = Xy ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(funcextLem_type,type,
% 2.96/1.58      funcextLem: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(funcextLem,definition,
% 2.96/1.58      ( funcextLem
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( func @ A @ B @ Xf )
% 2.96/1.58           => ! [Xg: $i] :
% 2.96/1.58                ( ( func @ A @ B @ Xg )
% 2.96/1.58               => ( ! [Xx: $i] :
% 2.96/1.58                      ( ( in @ Xx @ A )
% 2.96/1.58                     => ( ( ap @ A @ B @ Xf @ Xx )
% 2.96/1.58                        = ( ap @ A @ B @ Xg @ Xx ) ) )
% 2.96/1.58                 => ! [Xx: $i] :
% 2.96/1.58                      ( ( in @ Xx @ A )
% 2.96/1.58                     => ! [Xy: $i] :
% 2.96/1.58                          ( ( in @ Xy @ B )
% 2.96/1.58                         => ( ( in @ ( kpair @ Xx @ Xy ) @ Xg )
% 2.96/1.58                           => ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(funcGraphProp4_type,type,
% 2.96/1.58      funcGraphProp4: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(funcGraphProp4,definition,
% 2.96/1.58      ( funcGraphProp4
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( in @ Xf @ ( funcSet @ A @ B ) )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ! [Xy: $i] :
% 2.96/1.58                    ( ( in @ Xy @ B )
% 2.96/1.58                   => ( ( in @ ( kpair @ Xx @ Xy ) @ Xf )
% 2.96/1.58                     => ( ( ap @ A @ B @ Xf @ Xx )
% 2.96/1.58                        = Xy ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(subbreln_type,type,
% 2.96/1.58      subbreln: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(subbreln,definition,
% 2.96/1.58      ( subbreln
% 2.96/1.58      = ( ! [A: $i,B: $i,R: $i] :
% 2.96/1.58            ( ( breln @ A @ B @ R )
% 2.96/1.58           => ! [S: $i] :
% 2.96/1.58                ( ( breln @ A @ B @ S )
% 2.96/1.58               => ( ! [Xx: $i] :
% 2.96/1.58                      ( ( in @ Xx @ A )
% 2.96/1.58                     => ! [Xy: $i] :
% 2.96/1.58                          ( ( in @ Xy @ B )
% 2.96/1.58                         => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 2.96/1.58                           => ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) )
% 2.96/1.58                 => ( subset @ R @ S ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(eqbreln_type,type,
% 2.96/1.58      eqbreln: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(eqbreln,definition,
% 2.96/1.58      ( eqbreln
% 2.96/1.58      = ( ! [A: $i,B: $i,R: $i] :
% 2.96/1.58            ( ( breln @ A @ B @ R )
% 2.96/1.58           => ! [S: $i] :
% 2.96/1.58                ( ( breln @ A @ B @ S )
% 2.96/1.58               => ( ! [Xx: $i] :
% 2.96/1.58                      ( ( in @ Xx @ A )
% 2.96/1.58                     => ! [Xy: $i] :
% 2.96/1.58                          ( ( in @ Xy @ B )
% 2.96/1.58                         => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 2.96/1.58                           => ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) )
% 2.96/1.58                 => ( ! [Xx: $i] :
% 2.96/1.58                        ( ( in @ Xx @ A )
% 2.96/1.58                       => ! [Xy: $i] :
% 2.96/1.58                            ( ( in @ Xy @ B )
% 2.96/1.58                           => ( ( in @ ( kpair @ Xx @ Xy ) @ S )
% 2.96/1.58                             => ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) )
% 2.96/1.58                   => ( R = S ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(funcext_type,type,
% 2.96/1.58      funcext: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(funcext,definition,
% 2.96/1.58      ( funcext
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( func @ A @ B @ Xf )
% 2.96/1.58           => ! [Xg: $i] :
% 2.96/1.58                ( ( func @ A @ B @ Xg )
% 2.96/1.58               => ( ! [Xx: $i] :
% 2.96/1.58                      ( ( in @ Xx @ A )
% 2.96/1.58                     => ( ( ap @ A @ B @ Xf @ Xx )
% 2.96/1.58                        = ( ap @ A @ B @ Xg @ Xx ) ) )
% 2.96/1.58                 => ( Xf = Xg ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(funcext2_type,type,
% 2.96/1.58      funcext2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(funcext2,definition,
% 2.96/1.58      ( funcext2
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( in @ Xf @ ( funcSet @ A @ B ) )
% 2.96/1.58           => ! [Xg: $i] :
% 2.96/1.58                ( ( in @ Xg @ ( funcSet @ A @ B ) )
% 2.96/1.58               => ( ! [Xx: $i] :
% 2.96/1.58                      ( ( in @ Xx @ A )
% 2.96/1.58                     => ( ( ap @ A @ B @ Xf @ Xx )
% 2.96/1.58                        = ( ap @ A @ B @ Xg @ Xx ) ) )
% 2.96/1.58                 => ( Xf = Xg ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(ap2apEq1_type,type,
% 2.96/1.58      ap2apEq1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ap2apEq1,definition,
% 2.96/1.58      ( ap2apEq1
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( in @ Xf @ ( funcSet @ A @ B ) )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( ( ap @ A @ B @ Xf @ Xx )
% 2.96/1.58                  = ( ap @ A @ B @ Xf @ Xx ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(ap2apEq2_type,type,
% 2.96/1.58      ap2apEq2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ap2apEq2,definition,
% 2.96/1.58      ( ap2apEq2
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( func @ A @ B @ Xf )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( ( ap @ A @ B @ Xf @ Xx )
% 2.96/1.58                  = ( ap @ A @ B @ Xf @ Xx ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(beta1_type,type,
% 2.96/1.58      beta1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(beta1,definition,
% 2.96/1.58      ( beta1
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i > $i] :
% 2.96/1.58            ( ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( in @ ( Xf @ Xx ) @ B ) )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( ( ap @ A @ B
% 2.96/1.58                    @ ( lam @ A @ B
% 2.96/1.58                      @ ^ [Xy: $i] : ( Xf @ Xy ) )
% 2.96/1.58                    @ Xx )
% 2.96/1.58                  = ( Xf @ Xx ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(eta1_type,type,
% 2.96/1.58      eta1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(eta1,definition,
% 2.96/1.58      ( eta1
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( func @ A @ B @ Xf )
% 2.96/1.58           => ( ( lam @ A @ B
% 2.96/1.58                @ ^ [Xx: $i] : ( ap @ A @ B @ Xf @ Xx ) )
% 2.96/1.58              = Xf ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(lam2lamEq_type,type,
% 2.96/1.58      lam2lamEq: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(lam2lamEq,definition,
% 2.96/1.58      ( lam2lamEq
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i > $i] :
% 2.96/1.58            ( ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( in @ ( Xf @ Xx ) @ B ) )
% 2.96/1.58           => ( ( lam @ A @ B
% 2.96/1.58                @ ^ [Xx: $i] : ( Xf @ Xx ) )
% 2.96/1.58              = ( lam @ A @ B
% 2.96/1.58                @ ^ [Xx: $i] : ( Xf @ Xx ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(beta2_type,type,
% 2.96/1.58      beta2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(beta2,definition,
% 2.96/1.58      ( beta2
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i > $i] :
% 2.96/1.58            ( ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( in @ ( Xf @ Xx ) @ B ) )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( ( ap @ A @ B
% 2.96/1.58                    @ ( lam @ A @ B
% 2.96/1.58                      @ ^ [Xy: $i] : ( Xf @ Xy ) )
% 2.96/1.58                    @ Xx )
% 2.96/1.58                  = ( Xf @ Xx ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(eta2_type,type,
% 2.96/1.58      eta2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(eta2,definition,
% 2.96/1.58      ( eta2
% 2.96/1.58      = ( ! [A: $i,B: $i,Xf: $i] :
% 2.96/1.58            ( ( in @ Xf @ ( funcSet @ A @ B ) )
% 2.96/1.58           => ( ( lam @ A @ B
% 2.96/1.58                @ ^ [Xx: $i] : ( ap @ A @ B @ Xf @ Xx ) )
% 2.96/1.58              = Xf ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(iffalseProp1_type,type,
% 2.96/1.58      iffalseProp1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(iffalseProp1,definition,
% 2.96/1.58      ( iffalseProp1
% 2.96/1.58      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ A )
% 2.96/1.58               => ( ~ Xphi
% 2.96/1.58                 => ( in @ Xy
% 2.96/1.58                    @ ( dsetconstr @ A
% 2.96/1.58                      @ ^ [Xz: $i] :
% 2.96/1.58                          ( ( Xphi
% 2.96/1.58                            & ( Xz = Xx ) )
% 2.96/1.58                          | ( ~ Xphi
% 2.96/1.58                            & ( Xz = Xy ) ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(iffalseProp2_type,type,
% 2.96/1.58      iffalseProp2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(iffalseProp2,definition,
% 2.96/1.58      ( iffalseProp2
% 2.96/1.58      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ A )
% 2.96/1.58               => ( ~ Xphi
% 2.96/1.58                 => ( ( dsetconstr @ A
% 2.96/1.58                      @ ^ [Xz: $i] :
% 2.96/1.58                          ( ( Xphi
% 2.96/1.58                            & ( Xz = Xx ) )
% 2.96/1.58                          | ( ~ Xphi
% 2.96/1.58                            & ( Xz = Xy ) ) ) )
% 2.96/1.58                    = ( setadjoin @ Xy @ emptyset ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(iftrueProp1_type,type,
% 2.96/1.58      iftrueProp1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(iftrueProp1,definition,
% 2.96/1.58      ( iftrueProp1
% 2.96/1.58      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ A )
% 2.96/1.58               => ( Xphi
% 2.96/1.58                 => ( in @ Xx
% 2.96/1.58                    @ ( dsetconstr @ A
% 2.96/1.58                      @ ^ [Xz: $i] :
% 2.96/1.58                          ( ( Xphi
% 2.96/1.58                            & ( Xz = Xx ) )
% 2.96/1.58                          | ( ~ Xphi
% 2.96/1.58                            & ( Xz = Xy ) ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(iftrueProp2_type,type,
% 2.96/1.58      iftrueProp2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(iftrueProp2,definition,
% 2.96/1.58      ( iftrueProp2
% 2.96/1.58      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ A )
% 2.96/1.58               => ( Xphi
% 2.96/1.58                 => ( ( dsetconstr @ A
% 2.96/1.58                      @ ^ [Xz: $i] :
% 2.96/1.58                          ( ( Xphi
% 2.96/1.58                            & ( Xz = Xx ) )
% 2.96/1.58                          | ( ~ Xphi
% 2.96/1.58                            & ( Xz = Xy ) ) ) )
% 2.96/1.58                    = ( setadjoin @ Xx @ emptyset ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(ifSingleton_type,type,
% 2.96/1.58      ifSingleton: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ifSingleton,definition,
% 2.96/1.58      ( ifSingleton
% 2.96/1.58      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ A )
% 2.96/1.58               => ( singleton
% 2.96/1.58                  @ ( dsetconstr @ A
% 2.96/1.58                    @ ^ [Xz: $i] :
% 2.96/1.58                        ( ( Xphi
% 2.96/1.58                          & ( Xz = Xx ) )
% 2.96/1.58                        | ( ~ Xphi
% 2.96/1.58                          & ( Xz = Xy ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(if_type,type,
% 2.96/1.58      if: $i > $o > $i > $i > $i ).
% 2.96/1.58  
% 2.96/1.58  thf(ifp_type,type,
% 2.96/1.58      ifp: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(ifp,definition,
% 2.96/1.58      ( ifp
% 2.96/1.58      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ A )
% 2.96/1.58               => ( in @ ( if @ A @ Xphi @ Xx @ Xy ) @ A ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(theeq_type,type,
% 2.96/1.58      theeq: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(theeq,definition,
% 2.96/1.58      ( theeq
% 2.96/1.58      = ( ! [X: $i] :
% 2.96/1.58            ( ( singleton @ X )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ X )
% 2.96/1.58               => ( ( setunion @ X )
% 2.96/1.58                  = Xx ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(iftrue_type,type,
% 2.96/1.58      iftrue: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(iftrue,definition,
% 2.96/1.58      ( iftrue
% 2.96/1.58      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ A )
% 2.96/1.58               => ( Xphi
% 2.96/1.58                 => ( ( if @ A @ Xphi @ Xx @ Xy )
% 2.96/1.58                    = Xx ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(iffalse_type,type,
% 2.96/1.58      iffalse: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(iffalse,definition,
% 2.96/1.58      ( iffalse
% 2.96/1.58      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ A )
% 2.96/1.58               => ( ~ Xphi
% 2.96/1.58                 => ( ( if @ A @ Xphi @ Xx @ Xy )
% 2.96/1.58                    = Xy ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(iftrueorfalse_type,type,
% 2.96/1.58      iftrueorfalse: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(iftrueorfalse,definition,
% 2.96/1.58      ( iftrueorfalse
% 2.96/1.58      = ( ! [A: $i,Xphi: $o,Xx: $i] :
% 2.96/1.58            ( ( in @ Xx @ A )
% 2.96/1.58           => ! [Xy: $i] :
% 2.96/1.58                ( ( in @ Xy @ A )
% 2.96/1.58               => ( in @ ( if @ A @ Xphi @ Xx @ Xy ) @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(binintersectT_lem_type,type,
% 2.96/1.58      binintersectT_lem: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(binintersectT_lem,definition,
% 2.96/1.58      ( binintersectT_lem
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( in @ ( binintersect @ X @ Y ) @ ( powerset @ A ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(binunionT_lem_type,type,
% 2.96/1.58      binunionT_lem: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(binunionT_lem,definition,
% 2.96/1.58      ( binunionT_lem
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( in @ ( binunion @ X @ Y ) @ ( powerset @ A ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(powersetT_lem_type,type,
% 2.96/1.58      powersetT_lem: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(powersetT_lem,definition,
% 2.96/1.58      ( powersetT_lem
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ( in @ ( powerset @ X ) @ ( powerset @ ( powerset @ A ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setminusT_lem_type,type,
% 2.96/1.58      setminusT_lem: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setminusT_lem,definition,
% 2.96/1.58      ( setminusT_lem
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( in @ ( setminus @ X @ Y ) @ ( powerset @ A ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(complementT_lem_type,type,
% 2.96/1.58      complementT_lem: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(complementT_lem,definition,
% 2.96/1.58      ( complementT_lem
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ( in @ ( setminus @ A @ X ) @ ( powerset @ A ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setextT_type,type,
% 2.96/1.58      setextT: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setextT,definition,
% 2.96/1.58      ( setextT
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( ! [Xx: $i] :
% 2.96/1.58                      ( ( in @ Xx @ A )
% 2.96/1.58                     => ( ( in @ Xx @ X )
% 2.96/1.58                       => ( in @ Xx @ Y ) ) )
% 2.96/1.58                 => ( ! [Xx: $i] :
% 2.96/1.58                        ( ( in @ Xx @ A )
% 2.96/1.58                       => ( ( in @ Xx @ Y )
% 2.96/1.58                         => ( in @ Xx @ X ) ) )
% 2.96/1.58                   => ( X = Y ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(subsetTI_type,type,
% 2.96/1.58      subsetTI: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(subsetTI,definition,
% 2.96/1.58      ( subsetTI
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( ! [Xx: $i] :
% 2.96/1.58                      ( ( in @ Xx @ A )
% 2.96/1.58                     => ( ( in @ Xx @ X )
% 2.96/1.58                       => ( in @ Xx @ Y ) ) )
% 2.96/1.58                 => ( subset @ X @ Y ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(powersetTI1_type,type,
% 2.96/1.58      powersetTI1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(powersetTI1,definition,
% 2.96/1.58      ( powersetTI1
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( ! [Xx: $i] :
% 2.96/1.58                      ( ( in @ Xx @ A )
% 2.96/1.58                     => ( ( in @ Xx @ X )
% 2.96/1.58                       => ( in @ Xx @ Y ) ) )
% 2.96/1.58                 => ( in @ X @ ( powerset @ Y ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(powersetTE1_type,type,
% 2.96/1.58      powersetTE1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(powersetTE1,definition,
% 2.96/1.58      ( powersetTE1
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( in @ X @ ( powerset @ Y ) )
% 2.96/1.58                     => ( ( in @ Xx @ X )
% 2.96/1.58                       => ( in @ Xx @ Y ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(complementTI1_type,type,
% 2.96/1.58      complementTI1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(complementTI1,definition,
% 2.96/1.58      ( complementTI1
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( ( in @ Xx @ X )
% 2.96/1.58                 => ~ ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(complementTE1_type,type,
% 2.96/1.58      complementTE1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(complementTE1,definition,
% 2.96/1.58      ( complementTE1
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( ~ ( in @ Xx @ ( setminus @ A @ X ) )
% 2.96/1.58                 => ( in @ Xx @ X ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(binintersectTELcontra_type,type,
% 2.96/1.58      binintersectTELcontra: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(binintersectTELcontra,definition,
% 2.96/1.58      ( binintersectTELcontra
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ~ ( in @ Xx @ X )
% 2.96/1.58                     => ~ ( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(binintersectTERcontra_type,type,
% 2.96/1.58      binintersectTERcontra: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(binintersectTERcontra,definition,
% 2.96/1.58      ( binintersectTERcontra
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ~ ( in @ Xx @ Y )
% 2.96/1.58                     => ~ ( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(contrasubsetT_type,type,
% 2.96/1.58      contrasubsetT: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(contrasubsetT,definition,
% 2.96/1.58      ( contrasubsetT
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( subset @ X @ ( setminus @ A @ Y ) )
% 2.96/1.58                     => ( ( in @ Xx @ Y )
% 2.96/1.58                       => ~ ( in @ Xx @ X ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(contrasubsetT1_type,type,
% 2.96/1.58      contrasubsetT1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(contrasubsetT1,definition,
% 2.96/1.58      ( contrasubsetT1
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( subset @ X @ Y )
% 2.96/1.58                     => ( ~ ( in @ Xx @ Y )
% 2.96/1.58                       => ~ ( in @ Xx @ X ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(contrasubsetT2_type,type,
% 2.96/1.58      contrasubsetT2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(contrasubsetT2,definition,
% 2.96/1.58      ( contrasubsetT2
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( ( subset @ X @ Y )
% 2.96/1.58                 => ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(contrasubsetT3_type,type,
% 2.96/1.58      contrasubsetT3: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(contrasubsetT3,definition,
% 2.96/1.58      ( contrasubsetT3
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) )
% 2.96/1.58                 => ( subset @ X @ Y ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(doubleComplementI1_type,type,
% 2.96/1.58      doubleComplementI1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(doubleComplementI1,definition,
% 2.96/1.58      ( doubleComplementI1
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( ( in @ Xx @ X )
% 2.96/1.58                 => ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(doubleComplementE1_type,type,
% 2.96/1.58      doubleComplementE1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(doubleComplementE1,definition,
% 2.96/1.58      ( doubleComplementE1
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ( ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) )
% 2.96/1.58                 => ( in @ Xx @ X ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(doubleComplementSub1_type,type,
% 2.96/1.58      doubleComplementSub1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(doubleComplementSub1,definition,
% 2.96/1.58      ( doubleComplementSub1
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ( subset @ X @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(doubleComplementSub2_type,type,
% 2.96/1.58      doubleComplementSub2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(doubleComplementSub2,definition,
% 2.96/1.58      ( doubleComplementSub2
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ( subset @ ( setminus @ A @ ( setminus @ A @ X ) ) @ X ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(doubleComplementEq_type,type,
% 2.96/1.58      doubleComplementEq: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(doubleComplementEq,definition,
% 2.96/1.58      ( doubleComplementEq
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ( X
% 2.96/1.58              = ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(complementTnotintersectT_type,type,
% 2.96/1.58      complementTnotintersectT: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(complementTnotintersectT,definition,
% 2.96/1.58      ( complementTnotintersectT
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( in @ Xx @ ( setminus @ A @ X ) )
% 2.96/1.58                     => ~ ( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(complementImpComplementIntersect_type,type,
% 2.96/1.58      complementImpComplementIntersect: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(complementImpComplementIntersect,definition,
% 2.96/1.58      ( complementImpComplementIntersect
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( in @ Xx @ ( setminus @ A @ X ) )
% 2.96/1.58                     => ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(complementSubsetComplementIntersect_type,type,
% 2.96/1.58      complementSubsetComplementIntersect: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(complementSubsetComplementIntersect,definition,
% 2.96/1.58      ( complementSubsetComplementIntersect
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( subset @ ( setminus @ A @ X ) @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(complementInPowersetComplementIntersect_type,type,
% 2.96/1.58      complementInPowersetComplementIntersect: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(complementInPowersetComplementIntersect,definition,
% 2.96/1.58      ( complementInPowersetComplementIntersect
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( in @ ( setminus @ A @ X ) @ ( powerset @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(contraSubsetComplement_type,type,
% 2.96/1.58      contraSubsetComplement: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(contraSubsetComplement,definition,
% 2.96/1.58      ( contraSubsetComplement
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( ( subset @ X @ ( setminus @ A @ Y ) )
% 2.96/1.58                 => ! [Xx: $i] :
% 2.96/1.58                      ( ( in @ Xx @ A )
% 2.96/1.58                     => ( ( in @ Xx @ Y )
% 2.96/1.58                       => ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(complementTcontraSubset_type,type,
% 2.96/1.58      complementTcontraSubset: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(complementTcontraSubset,definition,
% 2.96/1.58      ( complementTcontraSubset
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( ( subset @ X @ ( setminus @ A @ Y ) )
% 2.96/1.58                 => ( subset @ Y @ ( setminus @ A @ X ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(binunionTILcontra_type,type,
% 2.96/1.58      binunionTILcontra: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(binunionTILcontra,definition,
% 2.96/1.58      ( binunionTILcontra
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ~ ( in @ Xx @ ( binunion @ X @ Y ) )
% 2.96/1.58                     => ~ ( in @ Xx @ X ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(binunionTIRcontra_type,type,
% 2.96/1.58      binunionTIRcontra: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(binunionTIRcontra,definition,
% 2.96/1.58      ( binunionTIRcontra
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ~ ( in @ Xx @ ( binunion @ X @ Y ) )
% 2.96/1.58                     => ~ ( in @ Xx @ Y ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(inIntersectImpInUnion_type,type,
% 2.96/1.58      inIntersectImpInUnion: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(inIntersectImpInUnion,definition,
% 2.96/1.58      ( inIntersectImpInUnion
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Z: $i] :
% 2.96/1.58                    ( ( in @ Z @ ( powerset @ A ) )
% 2.96/1.58                   => ! [Xx: $i] :
% 2.96/1.58                        ( ( in @ Xx @ A )
% 2.96/1.58                       => ( ( in @ Xx @ ( binintersect @ X @ Y ) )
% 2.96/1.58                         => ( in @ Xx @ ( binunion @ X @ Z ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(inIntersectImpInUnion2_type,type,
% 2.96/1.58      inIntersectImpInUnion2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(inIntersectImpInUnion2,definition,
% 2.96/1.58      ( inIntersectImpInUnion2
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Z: $i] :
% 2.96/1.58                    ( ( in @ Z @ ( powerset @ A ) )
% 2.96/1.58                   => ! [Xx: $i] :
% 2.96/1.58                        ( ( in @ Xx @ A )
% 2.96/1.58                       => ( ( in @ Xx @ ( binintersect @ X @ Y ) )
% 2.96/1.58                         => ( in @ Xx @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(inIntersectImpInIntersectUnions_type,type,
% 2.96/1.58      inIntersectImpInIntersectUnions: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(inIntersectImpInIntersectUnions,definition,
% 2.96/1.58      ( inIntersectImpInIntersectUnions
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Z: $i] :
% 2.96/1.58                    ( ( in @ Z @ ( powerset @ A ) )
% 2.96/1.58                   => ! [Xx: $i] :
% 2.96/1.58                        ( ( in @ Xx @ A )
% 2.96/1.58                       => ( ( in @ Xx @ ( binintersect @ X @ Y ) )
% 2.96/1.58                         => ( in @ Xx @ ( binintersect @ ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(intersectInPowersetIntersectUnions_type,type,
% 2.96/1.58      intersectInPowersetIntersectUnions: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(intersectInPowersetIntersectUnions,definition,
% 2.96/1.58      ( intersectInPowersetIntersectUnions
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Z: $i] :
% 2.96/1.58                    ( ( in @ Z @ ( powerset @ A ) )
% 2.96/1.58                   => ( in @ ( binintersect @ X @ Y ) @ ( powerset @ ( binintersect @ ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(inComplementUnionImpNotIn1_type,type,
% 2.96/1.58      inComplementUnionImpNotIn1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(inComplementUnionImpNotIn1,definition,
% 2.96/1.58      ( inComplementUnionImpNotIn1
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) )
% 2.96/1.58                     => ~ ( in @ Xx @ X ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(inComplementUnionImpInComplement1_type,type,
% 2.96/1.58      inComplementUnionImpInComplement1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(inComplementUnionImpInComplement1,definition,
% 2.96/1.58      ( inComplementUnionImpInComplement1
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) )
% 2.96/1.58                     => ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(binunionTE_type,type,
% 2.96/1.58      binunionTE: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(binunionTE,definition,
% 2.96/1.58      ( binunionTE
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xphi: $o,Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( in @ Xx @ ( binunion @ X @ Y ) )
% 2.96/1.58                     => ( ( ( in @ Xx @ X )
% 2.96/1.58                         => Xphi )
% 2.96/1.58                       => ( ( ( in @ Xx @ Y )
% 2.96/1.58                           => Xphi )
% 2.96/1.58                         => Xphi ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(binunionTEcontra_type,type,
% 2.96/1.58      binunionTEcontra: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(binunionTEcontra,definition,
% 2.96/1.58      ( binunionTEcontra
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ~ ( in @ Xx @ X )
% 2.96/1.58                     => ( ~ ( in @ Xx @ Y )
% 2.96/1.58                       => ~ ( in @ Xx @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan2a1_type,type,
% 2.96/1.58      demorgan2a1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan2a1,definition,
% 2.96/1.58      ( demorgan2a1
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) )
% 2.96/1.58                     => ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(complementUnionInPowersetComplement_type,type,
% 2.96/1.58      complementUnionInPowersetComplement: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(complementUnionInPowersetComplement,definition,
% 2.96/1.58      ( complementUnionInPowersetComplement
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( in @ ( setminus @ A @ ( binunion @ X @ Y ) ) @ ( powerset @ ( setminus @ A @ X ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan2a2_type,type,
% 2.96/1.58      demorgan2a2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan2a2,definition,
% 2.96/1.58      ( demorgan2a2
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) )
% 2.96/1.58                     => ( in @ Xx @ ( setminus @ A @ Y ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan1a_type,type,
% 2.96/1.58      demorgan1a: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan1a,definition,
% 2.96/1.58      ( demorgan1a
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) )
% 2.96/1.58                     => ( in @ Xx @ ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan1b_type,type,
% 2.96/1.58      demorgan1b: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan1b,definition,
% 2.96/1.58      ( demorgan1b
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( in @ Xx @ ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) )
% 2.96/1.58                     => ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan1_type,type,
% 2.96/1.58      demorgan1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan1,definition,
% 2.96/1.58      ( demorgan1
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( ( setminus @ A @ ( binintersect @ X @ Y ) )
% 2.96/1.58                  = ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan2a_type,type,
% 2.96/1.58      demorgan2a: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan2a,definition,
% 2.96/1.58      ( demorgan2a
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) )
% 2.96/1.58                     => ( in @ Xx @ ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan2b2_type,type,
% 2.96/1.58      demorgan2b2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan2b2,definition,
% 2.96/1.58      ( demorgan2b2
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( in @ Xx @ ( setminus @ A @ X ) )
% 2.96/1.58                     => ( ( in @ Xx @ ( setminus @ A @ Y ) )
% 2.96/1.58                       => ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan2b_type,type,
% 2.96/1.58      demorgan2b: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan2b,definition,
% 2.96/1.58      ( demorgan2b
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ( ( in @ Xx @ ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) )
% 2.96/1.58                     => ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan2_type,type,
% 2.96/1.58      demorgan2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(demorgan2,definition,
% 2.96/1.58      ( demorgan2
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( ( setminus @ A @ ( binunion @ X @ Y ) )
% 2.96/1.58                  = ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(woz13rule0_type,type,
% 2.96/1.58      woz13rule0: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(woz13rule0,definition,
% 2.96/1.58      ( woz13rule0
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ ( binintersect @ X @ Y ) )
% 2.96/1.58                   => ( in @ Xx @ A ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(woz13rule1_type,type,
% 2.96/1.58      woz13rule1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(woz13rule1,definition,
% 2.96/1.58      ( woz13rule1
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Z: $i] :
% 2.96/1.58                    ( ( in @ Z @ ( powerset @ A ) )
% 2.96/1.58                   => ( ( subset @ X @ Z )
% 2.96/1.58                     => ( subset @ ( binintersect @ X @ Y ) @ Z ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(woz13rule2_type,type,
% 2.96/1.58      woz13rule2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(woz13rule2,definition,
% 2.96/1.58      ( woz13rule2
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Z: $i] :
% 2.96/1.58                    ( ( in @ Z @ ( powerset @ A ) )
% 2.96/1.58                   => ( ( subset @ Y @ Z )
% 2.96/1.58                     => ( subset @ ( binintersect @ X @ Y ) @ Z ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(woz13rule3_type,type,
% 2.96/1.58      woz13rule3: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(woz13rule3,definition,
% 2.96/1.58      ( woz13rule3
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Z: $i] :
% 2.96/1.58                    ( ( in @ Z @ ( powerset @ A ) )
% 2.96/1.58                   => ( ( subset @ X @ Y )
% 2.96/1.58                     => ( ( subset @ X @ Z )
% 2.96/1.58                       => ( subset @ X @ ( binintersect @ Y @ Z ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(woz13rule4_type,type,
% 2.96/1.58      woz13rule4: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(woz13rule4,definition,
% 2.96/1.58      ( woz13rule4
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Z: $i] :
% 2.96/1.58                    ( ( in @ Z @ ( powerset @ A ) )
% 2.96/1.58                   => ! [W: $i] :
% 2.96/1.58                        ( ( in @ W @ ( powerset @ A ) )
% 2.96/1.58                       => ( ( subset @ X @ Z )
% 2.96/1.58                         => ( ( subset @ Y @ W )
% 2.96/1.58                           => ( subset @ ( binintersect @ X @ Y ) @ ( binintersect @ Z @ W ) ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(woz1_1_type,type,
% 2.96/1.58      woz1_1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(woz1_1,definition,
% 2.96/1.58      ( woz1_1
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( in @ ( setminus @ A @ X ) @ ( powerset @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(woz1_2_type,type,
% 2.96/1.58      woz1_2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(woz1_2,definition,
% 2.96/1.58      ( woz1_2
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Z: $i] :
% 2.96/1.58                    ( ( in @ Z @ ( powerset @ A ) )
% 2.96/1.58                   => ! [W: $i] :
% 2.96/1.58                        ( ( in @ W @ ( powerset @ A ) )
% 2.96/1.58                       => ( ( setminus @ A @ ( binintersect @ ( binunion @ X @ Y ) @ ( binunion @ Z @ W ) ) )
% 2.96/1.58                          = ( binunion @ ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) @ ( binintersect @ ( setminus @ A @ Z ) @ ( setminus @ A @ W ) ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(woz1_3_type,type,
% 2.96/1.58      woz1_3: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(woz1_3,definition,
% 2.96/1.58      ( woz1_3
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ! [Z: $i] :
% 2.96/1.58                    ( ( in @ Z @ ( powerset @ A ) )
% 2.96/1.58                   => ( in @ ( binintersect @ X @ Y ) @ ( powerset @ ( binintersect @ ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(woz1_4_type,type,
% 2.96/1.58      woz1_4: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(woz1_4,definition,
% 2.96/1.58      ( woz1_4
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( ( subset @ X @ ( setminus @ A @ Y ) )
% 2.96/1.58                 => ( subset @ Y @ ( setminus @ A @ X ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(woz1_5_type,type,
% 2.96/1.58      woz1_5: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(woz1_5,definition,
% 2.96/1.58      ( woz1_5
% 2.96/1.58      = ( ! [A: $i,X: $i] :
% 2.96/1.58            ( ( in @ X @ ( powerset @ A ) )
% 2.96/1.58           => ! [Y: $i] :
% 2.96/1.58                ( ( in @ Y @ ( powerset @ A ) )
% 2.96/1.58               => ( in @ ( setminus @ A @ ( binunion @ X @ Y ) ) @ ( powerset @ ( setminus @ A @ X ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1_type,type,
% 2.96/1.58      breln1: $i > $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1,definition,
% 2.96/1.58      ( breln1
% 2.96/1.58      = ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1all2_type,type,
% 2.96/1.58      breln1all2: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1all2,definition,
% 2.96/1.58      ( breln1all2
% 2.96/1.58      = ( ! [A: $i,R: $i] :
% 2.96/1.58            ( ( breln1 @ A @ R )
% 2.96/1.58           => ! [Xphi: $i > $o] :
% 2.96/1.58                ( ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ! [Xy: $i] :
% 2.96/1.58                        ( ( in @ Xy @ A )
% 2.96/1.58                       => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 2.96/1.58                         => ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ R )
% 2.96/1.58                   => ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1Set_type,type,
% 2.96/1.58      breln1Set: $i > $i ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1SetBreln1_type,type,
% 2.96/1.58      breln1SetBreln1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1SetBreln1,definition,
% 2.96/1.58      ( breln1SetBreln1
% 2.96/1.58      = ( ! [A: $i,R: $i] :
% 2.96/1.58            ( ( in @ R @ ( breln1Set @ A ) )
% 2.96/1.58           => ( breln1 @ A @ R ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(transitive_type,type,
% 2.96/1.58      transitive: $i > $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(antisymmetric_type,type,
% 2.96/1.58      antisymmetric: $i > $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(reflexive_type,type,
% 2.96/1.58      reflexive: $i > $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(refltransitive_type,type,
% 2.96/1.58      refltransitive: $i > $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(refllinearorder_type,type,
% 2.96/1.58      refllinearorder: $i > $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(reflwellordering_type,type,
% 2.96/1.58      reflwellordering: $i > $i > $o ).
% 2.96/1.58  
% 2.96/1.58  thf(choice2fnsingleton_type,type,
% 2.96/1.58      choice2fnsingleton: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(choice2fnsingleton,definition,
% 2.96/1.58      ( choice2fnsingleton
% 2.96/1.58      = ( ! [A: $i,B: $i,Xphi: $i > $i > $o] :
% 2.96/1.58            ( ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ? [Xy: $i] :
% 2.96/1.58                    ( ( in @ Xy @ B )
% 2.96/1.58                    & ( Xphi @ Xx @ Xy ) ) )
% 2.96/1.58           => ! [R: $i] :
% 2.96/1.58                ( ( in @ R @ ( breln1Set @ B ) )
% 2.96/1.58               => ( ( reflwellordering @ B @ R )
% 2.96/1.58                 => ! [Xx: $i] :
% 2.96/1.58                      ( ( in @ Xx @ A )
% 2.96/1.58                     => ( singleton
% 2.96/1.58                        @ ( dsetconstr @ B
% 2.96/1.58                          @ ^ [Xy: $i] :
% 2.96/1.58                              ( ( Xphi @ Xx @ Xy )
% 2.96/1.58                              & ! [Xz: $i] :
% 2.96/1.58                                  ( ( in @ Xz @ B )
% 2.96/1.58                                 => ( ( Xphi @ Xx @ Xz )
% 2.96/1.58                                   => ( in @ ( kpair @ Xy @ Xz ) @ R ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(setOfPairsIsBReln1_type,type,
% 2.96/1.58      setOfPairsIsBReln1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(setOfPairsIsBReln1,definition,
% 2.96/1.58      ( setOfPairsIsBReln1
% 2.96/1.58      = ( ! [A: $i,Xphi: $i > $i > $o] :
% 2.96/1.58            ( breln1 @ A
% 2.96/1.58            @ ( dpsetconstr @ A @ A
% 2.96/1.58              @ ^ [Xx: $i,Xy: $i] : ( Xphi @ Xx @ Xy ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1all1_type,type,
% 2.96/1.58      breln1all1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1all1,definition,
% 2.96/1.58      ( breln1all1
% 2.96/1.58      = ( ! [A: $i,R: $i] :
% 2.96/1.58            ( ( breln1 @ A @ R )
% 2.96/1.58           => ! [Xphi: $i > $o] :
% 2.96/1.58                ( ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ! [Xy: $i] :
% 2.96/1.58                        ( ( in @ Xy @ A )
% 2.96/1.58                       => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 2.96/1.58                         => ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ R )
% 2.96/1.58                   => ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(subbreln1_type,type,
% 2.96/1.58      subbreln1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(subbreln1,definition,
% 2.96/1.58      ( subbreln1
% 2.96/1.58      = ( ! [A: $i,R: $i] :
% 2.96/1.58            ( ( breln1 @ A @ R )
% 2.96/1.58           => ! [S: $i] :
% 2.96/1.58                ( ( breln1 @ A @ S )
% 2.96/1.58               => ( ! [Xx: $i] :
% 2.96/1.58                      ( ( in @ Xx @ A )
% 2.96/1.58                     => ! [Xy: $i] :
% 2.96/1.58                          ( ( in @ Xy @ A )
% 2.96/1.58                         => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 2.96/1.58                           => ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) )
% 2.96/1.58                 => ( subset @ R @ S ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(eqbreln1_type,type,
% 2.96/1.58      eqbreln1: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(eqbreln1,definition,
% 2.96/1.58      ( eqbreln1
% 2.96/1.58      = ( ! [A: $i,R: $i] :
% 2.96/1.58            ( ( breln1 @ A @ R )
% 2.96/1.58           => ! [S: $i] :
% 2.96/1.58                ( ( breln1 @ A @ S )
% 2.96/1.58               => ( ! [Xx: $i] :
% 2.96/1.58                      ( ( in @ Xx @ A )
% 2.96/1.58                     => ! [Xy: $i] :
% 2.96/1.58                          ( ( in @ Xy @ A )
% 2.96/1.58                         => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 2.96/1.58                           => ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) )
% 2.96/1.58                 => ( ! [Xx: $i] :
% 2.96/1.58                        ( ( in @ Xx @ A )
% 2.96/1.58                       => ! [Xy: $i] :
% 2.96/1.58                            ( ( in @ Xy @ A )
% 2.96/1.58                           => ( ( in @ ( kpair @ Xx @ Xy ) @ S )
% 2.96/1.58                             => ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) )
% 2.96/1.58                   => ( R = S ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1invset_type,type,
% 2.96/1.58      breln1invset: $i > $i > $i ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1invprop_type,type,
% 2.96/1.58      breln1invprop: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1invprop,definition,
% 2.96/1.58      ( breln1invprop
% 2.96/1.58      = ( ! [A: $i,R: $i] :
% 2.96/1.58            ( ( breln1 @ A @ R )
% 2.96/1.58           => ( breln1 @ A @ ( breln1invset @ A @ R ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1invI_type,type,
% 2.96/1.58      breln1invI: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1invI,definition,
% 2.96/1.58      ( breln1invI
% 2.96/1.58      = ( ! [A: $i,R: $i] :
% 2.96/1.58            ( ( breln1 @ A @ R )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ! [Xy: $i] :
% 2.96/1.58                    ( ( in @ Xy @ A )
% 2.96/1.58                   => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 2.96/1.58                     => ( in @ ( kpair @ Xy @ Xx ) @ ( breln1invset @ A @ R ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1invE_type,type,
% 2.96/1.58      breln1invE: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1invE,definition,
% 2.96/1.58      ( breln1invE
% 2.96/1.58      = ( ! [A: $i,R: $i] :
% 2.96/1.58            ( ( breln1 @ A @ R )
% 2.96/1.58           => ! [Xx: $i] :
% 2.96/1.58                ( ( in @ Xx @ A )
% 2.96/1.58               => ! [Xy: $i] :
% 2.96/1.58                    ( ( in @ Xy @ A )
% 2.96/1.58                   => ( ( in @ ( kpair @ Xy @ Xx ) @ ( breln1invset @ A @ R ) )
% 2.96/1.58                     => ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1compset_type,type,
% 2.96/1.58      breln1compset: $i > $i > $i > $i ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1compprop_type,type,
% 2.96/1.58      breln1compprop: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1compprop,definition,
% 2.96/1.58      ( breln1compprop
% 2.96/1.58      = ( ! [A: $i,R: $i] :
% 2.96/1.58            ( ( breln1 @ A @ R )
% 2.96/1.58           => ! [S: $i] :
% 2.96/1.58                ( ( breln1 @ A @ S )
% 2.96/1.58               => ( breln1 @ A @ ( breln1compset @ A @ R @ S ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1compI_type,type,
% 2.96/1.58      breln1compI: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1compI,definition,
% 2.96/1.58      ( breln1compI
% 2.96/1.58      = ( ! [A: $i,R: $i] :
% 2.96/1.58            ( ( breln1 @ A @ R )
% 2.96/1.58           => ! [S: $i] :
% 2.96/1.58                ( ( breln1 @ A @ S )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ! [Xy: $i] :
% 2.96/1.58                        ( ( in @ Xy @ A )
% 2.96/1.58                       => ! [Xz: $i] :
% 2.96/1.58                            ( ( in @ Xz @ A )
% 2.96/1.58                           => ( ( in @ ( kpair @ Xx @ Xz ) @ R )
% 2.96/1.58                             => ( ( in @ ( kpair @ Xz @ Xy ) @ S )
% 2.96/1.58                               => ( in @ ( kpair @ Xx @ Xy ) @ ( breln1compset @ A @ R @ S ) ) ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1compE_type,type,
% 2.96/1.58      breln1compE: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1compE,definition,
% 2.96/1.58      ( breln1compE
% 2.96/1.58      = ( ! [A: $i,R: $i] :
% 2.96/1.58            ( ( breln1 @ A @ R )
% 2.96/1.58           => ! [S: $i] :
% 2.96/1.58                ( ( breln1 @ A @ S )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ! [Xy: $i] :
% 2.96/1.58                        ( ( in @ Xy @ A )
% 2.96/1.58                       => ( ( in @ ( kpair @ Xx @ Xy ) @ ( breln1compset @ A @ R @ S ) )
% 2.96/1.58                         => ? [Xz: $i] :
% 2.96/1.58                              ( ( in @ Xz @ A )
% 2.96/1.58                              & ( in @ ( kpair @ Xx @ Xz ) @ R )
% 2.96/1.58                              & ( in @ ( kpair @ Xz @ Xy ) @ S ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1compEex_type,type,
% 2.96/1.58      breln1compEex: $o ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1compEex,definition,
% 2.96/1.58      ( breln1compEex
% 2.96/1.58      = ( ! [A: $i,R: $i] :
% 2.96/1.58            ( ( breln1 @ A @ R )
% 2.96/1.58           => ! [S: $i] :
% 2.96/1.58                ( ( breln1 @ A @ S )
% 2.96/1.58               => ! [Xx: $i] :
% 2.96/1.58                    ( ( in @ Xx @ A )
% 2.96/1.58                   => ! [Xy: $i] :
% 2.96/1.58                        ( ( in @ Xy @ A )
% 2.96/1.58                       => ( ( in @ ( kpair @ Xx @ Xy ) @ ( breln1compset @ A @ R @ S ) )
% 2.96/1.58                         => ! [Xphi: $o] :
% 2.96/1.58                              ( ! [Xz: $i] :
% 2.96/1.58                                  ( ( in @ Xz @ A )
% 2.96/1.58                                 => ( ( in @ ( kpair @ Xx @ Xz ) @ R )
% 2.96/1.58                                   => ( ( in @ ( kpair @ Xz @ Xy ) @ S )
% 2.96/1.58                                     => Xphi ) ) )
% 2.96/1.58                             => Xphi ) ) ) ) ) ) ) ) ).
% 2.96/1.58  
% 2.96/1.58  thf(breln1unionprop,conjecture,
% 2.96/1.58      ( setextAx
% 2.96/1.58     => ( emptysetAx
% 2.96/1.58       => ( setadjoinAx
% 2.96/1.58         => ( powersetAx
% 2.96/1.58           => ( setunionAx
% 2.96/1.58             => ( omega0Ax
% 2.96/1.58               => ( omegaSAx
% 2.96/1.58                 => ( omegaIndAx
% 2.96/1.58                   => ( replAx
% 2.96/1.58                     => ( foundationAx
% 2.96/1.58                       => ( wellorderingAx
% 2.96/1.58                         => ( descrp
% 2.96/1.58                           => ( dsetconstrI
% 2.96/1.58                             => ( dsetconstrEL
% 2.96/1.58                               => ( dsetconstrER
% 2.96/1.58                                 => ( exuE1
% 2.96/1.58                                   => ( prop2setE
% 2.96/1.58                                     => ( emptysetE
% 2.96/1.58                                       => ( emptysetimpfalse
% 2.96/1.58                                         => ( notinemptyset
% 2.96/1.58                                           => ( exuE3e
% 2.96/1.58                                             => ( setext
% 2.96/1.58                                               => ( emptyI
% 2.96/1.58                                                 => ( noeltsimpempty
% 2.96/1.58                                                   => ( setbeta
% 2.96/1.58                                                     => ( nonemptyE1
% 2.96/1.58                                                       => ( nonemptyI
% 2.96/1.58                                                         => ( nonemptyI1
% 2.96/1.58                                                           => ( setadjoinIL
% 2.96/1.58                                                             => ( emptyinunitempty
% 2.96/1.58                                                               => ( setadjoinIR
% 2.96/1.58                                                                 => ( setadjoinE
% 2.96/1.58                                                                   => ( setadjoinOr
% 2.96/1.58                                                                     => ( setoftrueEq
% 2.96/1.58                                                                       => ( powersetI
% 2.96/1.58                                                                         => ( emptyinPowerset
% 2.96/1.58                                                                           => ( emptyInPowerset
% 2.96/1.58                                                                             => ( powersetE
% 2.96/1.58                                                                               => ( setunionI
% 2.96/1.58                                                                                 => ( setunionE
% 2.96/1.58                                                                                   => ( subPowSU
% 2.96/1.58                                                                                     => ( exuE2
% 2.96/1.58                                                                                       => ( nonemptyImpWitness
% 2.96/1.58                                                                                         => ( uniqinunit
% 2.96/1.58                                                                                           => ( notinsingleton
% 2.96/1.58                                                                                             => ( eqinunit
% 2.96/1.58                                                                                               => ( singletonsswitch
% 2.96/1.58                                                                                                 => ( upairsetE
% 2.96/1.58                                                                                                   => ( upairsetIL
% 2.96/1.58                                                                                                     => ( upairsetIR
% 2.96/1.58                                                                                                       => ( emptyE1
% 2.96/1.58                                                                                                         => ( vacuousDall
% 2.96/1.58                                                                                                           => ( quantDeMorgan1
% 2.96/1.58                                                                                                             => ( quantDeMorgan2
% 2.96/1.58                                                                                                               => ( quantDeMorgan3
% 2.96/1.58                                                                                                                 => ( quantDeMorgan4
% 2.96/1.58                                                                                                                   => ( prop2setI
% 2.96/1.58                                                                                                                     => ( prop2set2propI
% 2.96/1.58                                                                                                                       => ( notdexE
% 2.96/1.58                                                                                                                         => ( notdallE
% 2.96/1.58                                                                                                                           => ( exuI1
% 2.96/1.58                                                                                                                             => ( exuI3
% 2.96/1.58                                                                                                                               => ( exuI2
% 2.96/1.58                                                                                                                                 => ( inCongP
% 2.96/1.58                                                                                                                                   => ( in__Cong
% 2.96/1.58                                                                                                                                     => ( exuE3u
% 2.96/1.58                                                                                                                                       => ( exu__Cong
% 2.96/1.58                                                                                                                                         => ( emptyset__Cong
% 2.96/1.58                                                                                                                                           => ( setadjoin__Cong
% 2.96/1.58                                                                                                                                             => ( powerset__Cong
% 2.96/1.58                                                                                                                                               => ( setunion__Cong
% 2.96/1.58                                                                                                                                                 => ( omega__Cong
% 2.96/1.58                                                                                                                                                   => ( exuEu
% 2.96/1.58                                                                                                                                                     => ( descr__Cong
% 2.96/1.58                                                                                                                                                       => ( dsetconstr__Cong
% 2.96/1.58                                                                                                                                                         => ( subsetI1
% 2.96/1.58                                                                                                                                                           => ( eqimpsubset2
% 2.96/1.58                                                                                                                                                             => ( eqimpsubset1
% 2.96/1.58                                                                                                                                                               => ( subsetI2
% 2.96/1.58                                                                                                                                                                 => ( emptysetsubset
% 2.96/1.58                                                                                                                                                                   => ( subsetE
% 2.96/1.58                                                                                                                                                                     => ( subsetE2
% 2.96/1.58                                                                                                                                                                       => ( notsubsetI
% 2.96/1.58                                                                                                                                                                         => ( notequalI1
% 2.96/1.58                                                                                                                                                                           => ( notequalI2
% 2.96/1.58                                                                                                                                                                             => ( subsetRefl
% 2.96/1.58                                                                                                                                                                               => ( subsetTrans
% 2.96/1.58                                                                                                                                                                                 => ( setadjoinSub
% 2.96/1.58                                                                                                                                                                                   => ( setadjoinSub2
% 2.96/1.58                                                                                                                                                                                     => ( subset2powerset
% 2.96/1.58                                                                                                                                                                                       => ( setextsub
% 2.96/1.58                                                                                                                                                                                         => ( subsetemptysetimpeq
% 2.96/1.58                                                                                                                                                                                           => ( powersetI1
% 2.96/1.58                                                                                                                                                                                             => ( powersetE1
% 2.96/1.58                                                                                                                                                                                               => ( inPowerset
% 2.96/1.58                                                                                                                                                                                                 => ( powersetsubset
% 2.96/1.58                                                                                                                                                                                                   => ( sepInPowerset
% 2.96/1.58                                                                                                                                                                                                     => ( sepSubset
% 2.96/1.58                                                                                                                                                                                                       => ( binunionIL
% 2.96/1.58                                                                                                                                                                                                         => ( upairset2IR
% 2.96/1.58                                                                                                                                                                                                           => ( binunionIR
% 2.96/1.58                                                                                                                                                                                                             => ( binunionEcases
% 2.96/1.58                                                                                                                                                                                                               => ( binunionE
% 2.96/1.58                                                                                                                                                                                                                 => ( binunionLsub
% 2.96/1.58                                                                                                                                                                                                                   => ( binunionRsub
% 2.96/1.58                                                                                                                                                                                                                     => ( binintersectI
% 2.96/1.58                                                                                                                                                                                                                       => ( binintersectSubset5
% 2.96/1.58                                                                                                                                                                                                                         => ( binintersectEL
% 2.96/1.58                                                                                                                                                                                                                           => ( binintersectLsub
% 2.96/1.58                                                                                                                                                                                                                             => ( binintersectSubset2
% 2.96/1.58                                                                                                                                                                                                                               => ( binintersectSubset3
% 2.96/1.58                                                                                                                                                                                                                                 => ( binintersectER
% 2.96/1.58                                                                                                                                                                                                                                   => ( disjointsetsI1
% 2.96/1.58                                                                                                                                                                                                                                     => ( binintersectRsub
% 2.96/1.58                                                                                                                                                                                                                                       => ( binintersectSubset4
% 2.96/1.58                                                                                                                                                                                                                                         => ( binintersectSubset1
% 2.96/1.58                                                                                                                                                                                                                                           => ( bs114d
% 2.96/1.58                                                                                                                                                                                                                                             => ( setminusI
% 2.96/1.58                                                                                                                                                                                                                                               => ( setminusEL
% 2.96/1.58                                                                                                                                                                                                                                                 => ( setminusER
% 2.96/1.58                                                                                                                                                                                                                                                   => ( setminusSubset2
% 2.96/1.58                                                                                                                                                                                                                                                     => ( setminusERneg
% 2.96/1.58                                                                                                                                                                                                                                                       => ( setminusELneg
% 2.96/1.58                                                                                                                                                                                                                                                         => ( setminusILneg
% 2.96/1.58                                                                                                                                                                                                                                                           => ( setminusIRneg
% 2.96/1.58                                                                                                                                                                                                                                                             => ( setminusLsub
% 2.96/1.58                                                                                                                                                                                                                                                               => ( setminusSubset1
% 2.96/1.58                                                                                                                                                                                                                                                                 => ( symdiffE
% 2.96/1.58                                                                                                                                                                                                                                                                   => ( symdiffI1
% 2.96/1.58                                                                                                                                                                                                                                                                     => ( symdiffI2
% 2.96/1.58                                                                                                                                                                                                                                                                       => ( symdiffIneg1
% 2.96/1.58                                                                                                                                                                                                                                                                         => ( symdiffIneg2
% 2.96/1.58                                                                                                                                                                                                                                                                           => ( secondinupair
% 2.96/1.58                                                                                                                                                                                                                                                                             => ( setukpairIL
% 2.96/1.58                                                                                                                                                                                                                                                                               => ( setukpairIR
% 2.96/1.58                                                                                                                                                                                                                                                                                 => ( kpairiskpair
% 2.96/1.58                                                                                                                                                                                                                                                                                   => ( kpairp
% 2.96/1.58                                                                                                                                                                                                                                                                                     => ( singletonsubset
% 2.96/1.58                                                                                                                                                                                                                                                                                       => ( singletoninpowerset
% 2.96/1.58                                                                                                                                                                                                                                                                                         => ( singletoninpowunion
% 2.96/1.58                                                                                                                                                                                                                                                                                           => ( upairset2E
% 2.96/1.58                                                                                                                                                                                                                                                                                             => ( upairsubunion
% 2.96/1.58                                                                                                                                                                                                                                                                                               => ( upairinpowunion
% 2.96/1.58                                                                                                                                                                                                                                                                                                 => ( ubforcartprodlem1
% 2.96/1.58                                                                                                                                                                                                                                                                                                   => ( ubforcartprodlem2
% 2.96/1.58                                                                                                                                                                                                                                                                                                     => ( ubforcartprodlem3
% 2.96/1.58                                                                                                                                                                                                                                                                                                       => ( cartprodpairin
% 2.96/1.58                                                                                                                                                                                                                                                                                                         => ( cartprodmempair1
% 2.96/1.58                                                                                                                                                                                                                                                                                                           => ( cartprodmempair
% 2.96/1.58                                                                                                                                                                                                                                                                                                             => ( setunionE2
% 2.96/1.58                                                                                                                                                                                                                                                                                                               => ( setunionsingleton1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                 => ( setunionsingleton2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                   => ( setunionsingleton
% 2.96/1.58                                                                                                                                                                                                                                                                                                                     => ( singletonprop
% 2.96/1.58                                                                                                                                                                                                                                                                                                                       => ( ex1E1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                         => ( ex1I
% 2.96/1.58                                                                                                                                                                                                                                                                                                                           => ( ex1I2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                             => ( singletonsuniq
% 2.96/1.58                                                                                                                                                                                                                                                                                                                               => ( setukpairinjL1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                 => ( kfstsingleton
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                   => ( theprop
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                     => ( kfstpairEq
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                       => ( cartprodfstin
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                         => ( setukpairinjL2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                           => ( setukpairinjL
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                             => ( setukpairinjR11
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                               => ( setukpairinjR12
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                 => ( setukpairinjR1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                   => ( upairequniteq
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                     => ( setukpairinjR2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                       => ( setukpairinjR
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                         => ( ksndsingleton
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                           => ( ksndpairEq
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                             => ( kpairsurjEq
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                               => ( cartprodsndin
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                 => ( cartprodpairmemEL
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                   => ( cartprodpairmemER
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                     => ( cartprodmempaircEq
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                       => ( cartprodfstpairEq
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                         => ( cartprodsndpairEq
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                           => ( cartprodpairsurjEq
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                             => ( dpsetconstrI
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                               => ( dpsetconstrSub
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                 => ( setOfPairsIsBReln
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                   => ( dpsetconstrERa
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                     => ( dpsetconstrEL1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                       => ( dpsetconstrEL2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                         => ( dpsetconstrER
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                           => ( funcImageSingleton
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                             => ( apProp
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                               => ( app
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                 => ( infuncsetfunc
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                   => ( ap2p
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                     => ( funcinfuncset
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                       => ( lamProp
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                         => ( lamp
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                           => ( lam2p
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                             => ( brelnall1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                               => ( brelnall2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ex1E2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                   => ( funcGraphProp1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                     => ( funcGraphProp3
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                       => ( funcGraphProp2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                         => ( funcextLem
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                           => ( funcGraphProp4
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                             => ( subbreln
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                               => ( eqbreln
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( funcext
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( funcext2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ap2apEq1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ap2apEq2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( beta1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( eta1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( lam2lamEq
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( beta2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( eta2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( iffalseProp1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( iffalseProp2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( iftrueProp1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( iftrueProp2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ifSingleton
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ifp
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( theeq
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( iftrue
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( iffalse
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( iftrueorfalse
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( binintersectT_lem
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( binunionT_lem
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( powersetT_lem
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( setminusT_lem
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( complementT_lem
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( setextT
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( subsetTI
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( powersetTI1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( powersetTE1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( complementTI1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( complementTE1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( binintersectTELcontra
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binintersectTERcontra
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( contrasubsetT
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( contrasubsetT1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( contrasubsetT2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( contrasubsetT3
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( doubleComplementI1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( doubleComplementE1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( doubleComplementSub1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( doubleComplementSub2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( doubleComplementEq
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( complementTnotintersectT
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( complementImpComplementIntersect
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( complementSubsetComplementIntersect
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( complementInPowersetComplementIntersect
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( contraSubsetComplement
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( complementTcontraSubset
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binunionTILcontra
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( binunionTIRcontra
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( inIntersectImpInUnion
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( inIntersectImpInUnion2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( inIntersectImpInIntersectUnions
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( intersectInPowersetIntersectUnions
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( inComplementUnionImpNotIn1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( inComplementUnionImpInComplement1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binunionTE
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( binunionTEcontra
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( demorgan2a1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( complementUnionInPowersetComplement
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( demorgan2a2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( demorgan1a
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( demorgan1b
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( demorgan1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( demorgan2a
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( demorgan2b2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( demorgan2b
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( demorgan2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz13rule0
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz13rule1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( woz13rule2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( woz13rule3
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( woz13rule4
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( woz1_1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( woz1_2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( woz1_3
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz1_4
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz1_5
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1all2
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1SetBreln1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( choice2fnsingleton
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( setOfPairsIsBReln1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1all1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( subbreln1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( eqbreln1
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( breln1invprop
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1invI
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1invE
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( breln1compprop
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( breln1compI
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1compE
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( breln1compEex
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ! [A: $i,R: $i] :
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ( ( breln1 @ A @ R )
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ! [S: $i] :
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ( ( breln1 @ A @ S )
% 2.96/1.58                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( breln1 @ A @ ( binunion @ R @ S ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.96/1.58  ------------------------
% 3.08/1.62  % (29820)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/2Mi)
% 3.08/1.62  % (29817)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/4Mi)
% 3.08/1.62  % (29816)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/183Mi)
% 3.08/1.62  % (29820)Instruction limit reached!
% 3.08/1.62  % (29820)------------------------------
% 3.08/1.62  % (29820)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.62  % (29820)Termination reason: Unknown
% 3.08/1.62  % (29820)Termination phase: shuffling
% 3.08/1.62  
% 3.08/1.62  % (29820)Memory used [KB]: 1535
% 3.08/1.62  % (29820)Time elapsed: 0.003 s
% 3.08/1.62  % (29820)Instructions burned: 5 (million)
% 3.08/1.62  % (29820)------------------------------
% 3.08/1.62  % (29820)------------------------------
% 3.08/1.62  % (29817)Instruction limit reached!
% 3.08/1.62  % (29817)------------------------------
% 3.08/1.62  % (29817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.62  % (29817)Termination reason: Unknown
% 3.08/1.62  % (29817)Termination phase: shuffling
% 3.08/1.62  
% 3.08/1.62  % (29817)Memory used [KB]: 1663
% 3.08/1.62  % (29817)Time elapsed: 0.003 s
% 3.08/1.62  % (29817)Instructions burned: 6 (million)
% 3.08/1.62  % (29817)------------------------------
% 3.08/1.62  % (29817)------------------------------
% 3.08/1.63  % (29818)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/27Mi)
% 3.08/1.63  % (29819)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/2Mi)
% 3.08/1.63  % (29821)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/275Mi)
% 3.08/1.63  % (29822)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/18Mi)
% 3.08/1.63  % (29819)Instruction limit reached!
% 3.08/1.63  % (29819)------------------------------
% 3.08/1.63  % (29819)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.63  % (29819)Termination reason: Unknown
% 3.08/1.63  % (29819)Termination phase: shuffling
% 3.08/1.63  
% 3.08/1.63  % (29819)Memory used [KB]: 1535
% 3.08/1.63  % (29819)Time elapsed: 0.003 s
% 3.08/1.63  % (29819)Instructions burned: 3 (million)
% 3.08/1.63  % (29819)------------------------------
% 3.08/1.63  % (29819)------------------------------
% 3.08/1.63  % (29823)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/3Mi)
% 3.08/1.63  % (29824)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/37Mi)
% 3.08/1.63  % (29823)Instruction limit reached!
% 3.08/1.63  % (29823)------------------------------
% 3.08/1.63  % (29823)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.63  % (29823)Termination reason: Unknown
% 3.08/1.63  % (29823)Termination phase: shuffling
% 3.08/1.63  
% 3.08/1.63  % (29823)Memory used [KB]: 1535
% 3.08/1.63  % (29823)Time elapsed: 0.003 s
% 3.08/1.63  % (29823)Instructions burned: 6 (million)
% 3.08/1.63  % (29823)------------------------------
% 3.08/1.63  % (29823)------------------------------
% 3.08/1.64  % (29822)Instruction limit reached!
% 3.08/1.64  % (29822)------------------------------
% 3.08/1.64  % (29822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.64  % (29822)Termination reason: Unknown
% 3.08/1.64  % (29822)Termination phase: shuffling
% 3.08/1.64  
% 3.08/1.64  % (29822)Memory used [KB]: 1791
% 3.08/1.64  % (29822)Time elapsed: 0.013 s
% 3.08/1.64  % (29822)Instructions burned: 19 (million)
% 3.08/1.64  % (29822)------------------------------
% 3.08/1.64  % (29822)------------------------------
% 3.08/1.64  % (29818)Instruction limit reached!
% 3.08/1.64  % (29818)------------------------------
% 3.08/1.64  % (29818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.64  % (29818)Termination reason: Unknown
% 3.08/1.64  % (29818)Termination phase: shuffling
% 3.08/1.64  
% 3.08/1.64  % (29818)Memory used [KB]: 2046
% 3.08/1.64  % (29818)Time elapsed: 0.016 s
% 3.08/1.64  % (29818)Instructions burned: 28 (million)
% 3.08/1.64  % (29818)------------------------------
% 3.08/1.64  % (29818)------------------------------
% 3.08/1.64  % (29826)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/3Mi)
% 3.08/1.65  % (29826)Instruction limit reached!
% 3.08/1.65  % (29826)------------------------------
% 3.08/1.65  % (29826)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.65  % (29826)Termination reason: Unknown
% 3.08/1.65  % (29826)Termination phase: shuffling
% 3.08/1.65  
% 3.08/1.65  % (29826)Memory used [KB]: 1535
% 3.08/1.65  % (29826)Time elapsed: 0.002 s
% 3.08/1.65  % (29826)Instructions burned: 3 (million)
% 3.08/1.65  % (29826)------------------------------
% 3.08/1.65  % (29826)------------------------------
% 3.08/1.65  % (29824)Instruction limit reached!
% 3.08/1.65  % (29824)------------------------------
% 3.08/1.65  % (29824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.65  % (29824)Termination reason: Unknown
% 3.08/1.65  % (29824)Termination phase: shuffling
% 3.08/1.65  
% 3.08/1.65  % (29824)Memory used [KB]: 2302
% 3.08/1.65  % (29824)Time elapsed: 0.012 s
% 3.08/1.65  % (29824)Instructions burned: 38 (million)
% 3.08/1.65  % (29824)------------------------------
% 3.08/1.65  % (29824)------------------------------
% 3.08/1.65  % (29825)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/15Mi)
% 3.08/1.65  % (29829)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/16Mi)
% 3.08/1.66  % (29825)Instruction limit reached!
% 3.08/1.66  % (29825)------------------------------
% 3.08/1.66  % (29825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.66  % (29825)Termination reason: Unknown
% 3.08/1.66  % (29825)Termination phase: shuffling
% 3.08/1.66  
% 3.08/1.66  % (29825)Memory used [KB]: 1791
% 3.08/1.66  % (29825)Time elapsed: 0.009 s
% 3.08/1.66  % (29825)Instructions burned: 15 (million)
% 3.08/1.66  % (29825)------------------------------
% 3.08/1.66  % (29825)------------------------------
% 3.08/1.66  % (29830)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/3Mi)
% 3.08/1.66  % (29830)Instruction limit reached!
% 3.08/1.66  % (29830)------------------------------
% 3.08/1.66  % (29830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.66  % (29830)Termination reason: Unknown
% 3.08/1.66  % (29830)Termination phase: shuffling
% 3.08/1.66  
% 3.08/1.66  % (29830)Memory used [KB]: 1535
% 3.08/1.66  % (29830)Time elapsed: 0.002 s
% 3.08/1.66  % (29830)Instructions burned: 3 (million)
% 3.08/1.66  % (29830)------------------------------
% 3.08/1.66  % (29830)------------------------------
% 3.08/1.66  % (29827)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/1041Mi)
% 3.08/1.66  % (29829)Instruction limit reached!
% 3.08/1.66  % (29829)------------------------------
% 3.08/1.66  % (29829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.66  % (29829)Termination reason: Unknown
% 3.08/1.66  % (29829)Termination phase: shuffling
% 3.08/1.66  
% 3.08/1.66  % (29829)Memory used [KB]: 1791
% 3.08/1.66  % (29829)Time elapsed: 0.006 s
% 3.08/1.66  % (29829)Instructions burned: 18 (million)
% 3.08/1.66  % (29829)------------------------------
% 3.08/1.66  % (29829)------------------------------
% 3.08/1.66  % (29828)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/7Mi)
% 3.08/1.67  % (29828)Instruction limit reached!
% 3.08/1.67  % (29828)------------------------------
% 3.08/1.67  % (29828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.67  % (29828)Termination reason: Unknown
% 3.08/1.67  % (29828)Termination phase: shuffling
% 3.08/1.67  
% 3.08/1.67  % (29828)Memory used [KB]: 1663
% 3.08/1.67  % (29828)Time elapsed: 0.006 s
% 3.08/1.67  % (29828)Instructions burned: 8 (million)
% 3.08/1.67  % (29828)------------------------------
% 3.08/1.67  % (29828)------------------------------
% 3.08/1.67  % (29831)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/3Mi)
% 3.08/1.67  % (29832)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/7Mi)
% 3.08/1.67  % (29831)Instruction limit reached!
% 3.08/1.67  % (29831)------------------------------
% 3.08/1.67  % (29831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.67  % (29831)Termination reason: Unknown
% 3.08/1.67  % (29831)Termination phase: shuffling
% 3.08/1.67  
% 3.08/1.67  % (29831)Memory used [KB]: 1535
% 3.08/1.67  % (29831)Time elapsed: 0.002 s
% 3.08/1.67  % (29831)Instructions burned: 4 (million)
% 3.08/1.67  % (29831)------------------------------
% 3.08/1.67  % (29831)------------------------------
% 3.08/1.67  % (29833)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/3Mi)
% 3.08/1.67  % (29832)Instruction limit reached!
% 3.08/1.67  % (29832)------------------------------
% 3.08/1.67  % (29832)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.67  % (29832)Termination reason: Unknown
% 3.08/1.67  % (29832)Termination phase: shuffling
% 3.08/1.67  
% 3.08/1.67  % (29832)Memory used [KB]: 1663
% 3.08/1.67  % (29832)Time elapsed: 0.003 s
% 3.08/1.67  % (29832)Instructions burned: 7 (million)
% 3.08/1.67  % (29832)------------------------------
% 3.08/1.67  % (29832)------------------------------
% 3.08/1.67  % (29833)Instruction limit reached!
% 3.08/1.67  % (29833)------------------------------
% 3.08/1.67  % (29833)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.67  % (29833)Termination reason: Unknown
% 3.08/1.67  % (29833)Termination phase: shuffling
% 3.08/1.67  
% 3.08/1.67  % (29833)Memory used [KB]: 1535
% 3.08/1.67  % (29833)Time elapsed: 0.002 s
% 3.08/1.67  % (29833)Instructions burned: 3 (million)
% 3.08/1.67  % (29833)------------------------------
% 3.08/1.67  % (29833)------------------------------
% 3.08/1.67  % (29816)Instruction limit reached!
% 3.08/1.67  % (29816)------------------------------
% 3.08/1.67  % (29816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.67  % (29816)Termination reason: Unknown
% 3.08/1.67  % (29816)Termination phase: Saturation
% 3.08/1.67  
% 3.08/1.67  % (29816)Memory used [KB]: 7419
% 3.08/1.67  % (29816)Time elapsed: 0.049 s
% 3.08/1.67  % (29816)Instructions burned: 184 (million)
% 3.08/1.67  % (29816)------------------------------
% 3.08/1.67  % (29816)------------------------------
% 3.08/1.68  % (29835)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/18Mi)
% 3.08/1.68  % (29837)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/6Mi)
% 3.08/1.68  % (29834)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/4Mi)
% 3.08/1.68  % (29836)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/710Mi)
% 3.08/1.68  % (29838)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/902Mi)
% 3.08/1.68  % (29837)Instruction limit reached!
% 3.08/1.68  % (29837)------------------------------
% 3.08/1.68  % (29837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.68  % (29837)Termination reason: Unknown
% 3.08/1.68  % (29837)Termination phase: shuffling
% 3.08/1.68  
% 3.08/1.68  % (29837)Memory used [KB]: 1663
% 3.08/1.68  % (29837)Time elapsed: 0.003 s
% 3.08/1.68  % (29837)Instructions burned: 7 (million)
% 3.08/1.68  % (29837)------------------------------
% 3.08/1.68  % (29837)------------------------------
% 3.08/1.68  % (29834)Instruction limit reached!
% 3.08/1.68  % (29834)------------------------------
% 3.08/1.68  % (29834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.68  % (29834)Termination reason: Unknown
% 3.08/1.68  % (29834)Termination phase: shuffling
% 3.08/1.68  
% 3.08/1.68  % (29834)Memory used [KB]: 1535
% 3.08/1.68  % (29834)Time elapsed: 0.003 s
% 3.08/1.68  % (29834)Instructions burned: 5 (million)
% 3.08/1.68  % (29834)------------------------------
% 3.08/1.68  % (29834)------------------------------
% 3.08/1.68  % (29835)Instruction limit reached!
% 3.08/1.68  % (29835)------------------------------
% 3.08/1.68  % (29835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.68  % (29835)Termination reason: Unknown
% 3.08/1.68  % (29835)Termination phase: shuffling
% 3.08/1.68  
% 3.08/1.68  % (29835)Memory used [KB]: 1918
% 3.08/1.68  % (29835)Time elapsed: 0.007 s
% 3.08/1.68  % (29835)Instructions burned: 21 (million)
% 3.08/1.68  % (29835)------------------------------
% 3.08/1.68  % (29835)------------------------------
% 3.08/1.69  % (29840)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/5Mi)
% 3.08/1.69  % (29840)Instruction limit reached!
% 3.08/1.69  % (29840)------------------------------
% 3.08/1.69  % (29840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.69  % (29840)Termination reason: Unknown
% 3.08/1.69  % (29840)Termination phase: shuffling
% 3.08/1.69  
% 3.08/1.69  % (29840)Memory used [KB]: 1535
% 3.08/1.69  % (29840)Time elapsed: 0.003 s
% 3.08/1.69  % (29840)Instructions burned: 6 (million)
% 3.08/1.69  % (29840)------------------------------
% 3.08/1.69  % (29840)------------------------------
% 3.08/1.69  % (29841)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/6Mi)
% 3.08/1.70  % (29841)Instruction limit reached!
% 3.08/1.70  % (29841)------------------------------
% 3.08/1.70  % (29841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.70  % (29841)Termination reason: Unknown
% 3.08/1.70  % (29841)Termination phase: shuffling
% 3.08/1.70  
% 3.08/1.70  % (29841)Memory used [KB]: 1663
% 3.08/1.70  % (29841)Time elapsed: 0.003 s
% 3.08/1.70  % (29841)Instructions burned: 7 (million)
% 3.08/1.70  % (29841)------------------------------
% 3.08/1.70  % (29841)------------------------------
% 3.08/1.70  % (29839)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/21Mi)
% 3.08/1.70  % (29842)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_29531 for (2999ds/377Mi)
% 3.08/1.71  % (29843)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_29531 for (2998ds/779Mi)
% 3.08/1.71  % (29839)Instruction limit reached!
% 3.08/1.71  % (29839)------------------------------
% 3.08/1.71  % (29839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.71  % (29839)Termination reason: Unknown
% 3.08/1.71  % (29839)Termination phase: shuffling
% 3.08/1.71  
% 3.08/1.71  % (29839)Memory used [KB]: 1918
% 3.08/1.71  % (29839)Time elapsed: 0.013 s
% 3.08/1.71  % (29839)Instructions burned: 22 (million)
% 3.08/1.71  % (29839)------------------------------
% 3.08/1.71  % (29839)------------------------------
% 3.08/1.73  % (29844)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_29531 for (2998ds/19Mi)
% 3.08/1.74  % (29844)Instruction limit reached!
% 3.08/1.74  % (29844)------------------------------
% 3.08/1.74  % (29844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.74  % (29844)Termination reason: Unknown
% 3.08/1.74  % (29844)Termination phase: shuffling
% 3.08/1.74  
% 3.08/1.74  % (29844)Memory used [KB]: 1918
% 3.08/1.74  % (29844)Time elapsed: 0.012 s
% 3.08/1.74  % (29844)Instructions burned: 19 (million)
% 3.08/1.74  % (29844)------------------------------
% 3.08/1.74  % (29844)------------------------------
% 3.08/1.76  % (29845)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_29531 for (2998ds/879Mi)
% 3.08/1.76  % (29821)Instruction limit reached!
% 3.08/1.76  % (29821)------------------------------
% 3.08/1.76  % (29821)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.76  % (29821)Termination reason: Unknown
% 3.08/1.76  % (29821)Termination phase: Saturation
% 3.08/1.76  
% 3.08/1.76  % (29821)Memory used [KB]: 10362
% 3.08/1.76  % (29821)Time elapsed: 0.131 s
% 3.08/1.76  % (29821)Instructions burned: 277 (million)
% 3.08/1.76  % (29821)------------------------------
% 3.08/1.76  % (29821)------------------------------
% 3.08/1.77  % (29846)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_29531 for (2998ds/17Mi)
% 3.08/1.78  % (29846)Instruction limit reached!
% 3.08/1.78  % (29846)------------------------------
% 3.08/1.78  % (29846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.78  % (29846)Termination reason: Unknown
% 3.08/1.78  % (29846)Termination phase: shuffling
% 3.08/1.78  
% 3.08/1.78  % (29846)Memory used [KB]: 1791
% 3.08/1.78  % (29846)Time elapsed: 0.006 s
% 3.08/1.78  % (29846)Instructions burned: 17 (million)
% 3.08/1.78  % (29846)------------------------------
% 3.08/1.78  % (29846)------------------------------
% 3.08/1.79  % (29847)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_29531 for (2998ds/3Mi)
% 3.08/1.79  % (29847)Instruction limit reached!
% 3.08/1.79  % (29847)------------------------------
% 3.08/1.79  % (29847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.79  % (29847)Termination reason: Unknown
% 3.08/1.79  % (29847)Termination phase: shuffling
% 3.08/1.79  
% 3.08/1.79  % (29847)Memory used [KB]: 1535
% 3.08/1.79  % (29847)Time elapsed: 0.002 s
% 3.08/1.79  % (29847)Instructions burned: 4 (million)
% 3.08/1.79  % (29847)------------------------------
% 3.08/1.79  % (29847)------------------------------
% 3.08/1.80  % (29848)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_29531 for (2998ds/30Mi)
% 3.08/1.80  % (29842)Instruction limit reached!
% 3.08/1.80  % (29842)------------------------------
% 3.08/1.80  % (29842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.80  % (29842)Termination reason: Unknown
% 3.08/1.80  % (29842)Termination phase: Saturation
% 3.08/1.80  
% 3.08/1.80  % (29842)Memory used [KB]: 9466
% 3.08/1.80  % (29842)Time elapsed: 0.101 s
% 3.08/1.80  % (29842)Instructions burned: 379 (million)
% 3.08/1.80  % (29842)------------------------------
% 3.08/1.80  % (29842)------------------------------
% 3.08/1.81  % (29848)Instruction limit reached!
% 3.08/1.81  % (29848)------------------------------
% 3.08/1.81  % (29848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.81  % (29848)Termination reason: Unknown
% 3.08/1.81  % (29848)Termination phase: shuffling
% 3.08/1.81  
% 3.08/1.81  % (29848)Memory used [KB]: 2174
% 3.08/1.81  % (29848)Time elapsed: 0.010 s
% 3.08/1.81  % (29848)Instructions burned: 31 (million)
% 3.08/1.81  % (29848)------------------------------
% 3.08/1.81  % (29848)------------------------------
% 3.08/1.81  % (29838)Refutation not found, incomplete strategy
% 3.08/1.81  % (29838)------------------------------
% 3.08/1.81  % (29838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.81  % (29838)Termination reason: Refutation not found, incomplete strategy
% 3.08/1.81  
% 3.08/1.81  
% 3.08/1.81  % (29838)Memory used [KB]: 11257
% 3.08/1.81  % (29838)Time elapsed: 0.131 s
% 3.08/1.81  % (29838)Instructions burned: 438 (million)
% 3.08/1.81  % (29838)------------------------------
% 3.08/1.81  % (29838)------------------------------
% 3.08/1.81  % (29849)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_29531 for (2997ds/127Mi)
% 3.08/1.82  % (29850)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_29531 for (2997ds/100Mi)
% 3.08/1.82  % (29851)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_29531 for (2997ds/3Mi)
% 3.08/1.82  % (29851)Instruction limit reached!
% 3.08/1.82  % (29851)------------------------------
% 3.08/1.82  % (29851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.82  % (29851)Termination reason: Unknown
% 3.08/1.82  % (29851)Termination phase: shuffling
% 3.08/1.82  
% 3.08/1.82  % (29851)Memory used [KB]: 1535
% 3.08/1.82  % (29851)Time elapsed: 0.002 s
% 3.08/1.82  % (29851)Instructions burned: 3 (million)
% 3.08/1.82  % (29851)------------------------------
% 3.08/1.82  % (29851)------------------------------
% 3.08/1.83  % (29852)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_29531 for (2997ds/20Mi)
% 3.08/1.84  % (29852)Instruction limit reached!
% 3.08/1.84  % (29852)------------------------------
% 3.08/1.84  % (29852)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.84  % (29852)Termination reason: Unknown
% 3.08/1.84  % (29852)Termination phase: shuffling
% 3.08/1.84  
% 3.08/1.84  % (29852)Memory used [KB]: 1918
% 3.08/1.84  % (29852)Time elapsed: 0.008 s
% 3.08/1.84  % (29852)Instructions burned: 20 (million)
% 3.08/1.84  % (29852)------------------------------
% 3.08/1.84  % (29852)------------------------------
% 3.08/1.84  % (29850)Instruction limit reached!
% 3.08/1.84  % (29850)------------------------------
% 3.08/1.84  % (29850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.84  % (29850)Termination reason: Unknown
% 3.08/1.84  % (29850)Termination phase: Property scanning
% 3.08/1.84  
% 3.08/1.84  % (29850)Memory used [KB]: 2814
% 3.08/1.84  % (29850)Time elapsed: 0.030 s
% 3.08/1.84  % (29850)Instructions burned: 102 (million)
% 3.08/1.84  % (29850)------------------------------
% 3.08/1.84  % (29850)------------------------------
% 3.08/1.84  % (29849)Instruction limit reached!
% 3.08/1.84  % (29849)------------------------------
% 3.08/1.84  % (29849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.84  % (29849)Termination reason: Unknown
% 3.08/1.84  % (29849)Termination phase: Property scanning
% 3.08/1.84  
% 3.08/1.84  % (29849)Memory used [KB]: 2814
% 3.08/1.84  % (29849)Time elapsed: 0.034 s
% 3.08/1.84  % (29849)Instructions burned: 129 (million)
% 3.08/1.84  % (29849)------------------------------
% 3.08/1.84  % (29849)------------------------------
% 3.08/1.85  % (29853)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_29531 for (2997ds/86Mi)
% 3.08/1.85  % (29855)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_29531 for (2997ds/39Mi)
% 3.08/1.85  % (29854)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_29531 for (2997ds/107Mi)
% 3.08/1.87  % (29855)Instruction limit reached!
% 3.08/1.87  % (29855)------------------------------
% 3.08/1.87  % (29855)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.87  % (29855)Termination reason: Unknown
% 3.08/1.87  % (29855)Termination phase: shuffling
% 3.08/1.87  
% 3.08/1.87  % (29855)Memory used [KB]: 2302
% 3.08/1.87  % (29855)Time elapsed: 0.012 s
% 3.08/1.87  % (29855)Instructions burned: 42 (million)
% 3.08/1.87  % (29855)------------------------------
% 3.08/1.87  % (29855)------------------------------
% 3.08/1.87  % (29853)Instruction limit reached!
% 3.08/1.87  % (29853)------------------------------
% 3.08/1.87  % (29853)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.87  % (29853)Termination reason: Unknown
% 3.08/1.87  % (29853)Termination phase: Property scanning
% 3.08/1.87  
% 3.08/1.87  % (29853)Memory used [KB]: 2558
% 3.08/1.87  % (29853)Time elapsed: 0.024 s
% 3.08/1.87  % (29853)Instructions burned: 88 (million)
% 3.08/1.87  % (29853)------------------------------
% 3.08/1.87  % (29853)------------------------------
% 3.08/1.87  % (29856)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_29531 for (2997ds/448Mi)
% 3.08/1.88  % (29857)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_29531 for (2997ds/46Mi)
% 3.08/1.88  % (29854)Instruction limit reached!
% 3.08/1.88  % (29854)------------------------------
% 3.08/1.88  % (29854)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.88  % (29854)Termination reason: Unknown
% 3.08/1.88  % (29854)Termination phase: SInE selection
% 3.08/1.88  
% 3.08/1.88  % (29854)Memory used [KB]: 2686
% 3.08/1.88  % (29854)Time elapsed: 0.031 s
% 3.08/1.88  % (29854)Instructions burned: 109 (million)
% 3.08/1.88  % (29854)------------------------------
% 3.08/1.88  % (29854)------------------------------
% 3.08/1.89  % (29857)Instruction limit reached!
% 3.08/1.89  % (29857)------------------------------
% 3.08/1.89  % (29857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.89  % (29857)Termination reason: Unknown
% 3.08/1.89  % (29857)Termination phase: shuffling
% 3.08/1.89  
% 3.08/1.89  % (29857)Memory used [KB]: 2430
% 3.08/1.89  % (29857)Time elapsed: 0.014 s
% 3.08/1.89  % (29857)Instructions burned: 46 (million)
% 3.08/1.89  % (29857)------------------------------
% 3.08/1.89  % (29857)------------------------------
% 3.08/1.90  % (29858)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_29531 for (2997ds/98Mi)
% 3.08/1.90  % (29836)Instruction limit reached!
% 3.08/1.90  % (29836)------------------------------
% 3.08/1.90  % (29836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.90  % (29836)Termination reason: Unknown
% 3.08/1.90  % (29836)Termination phase: Saturation
% 3.08/1.90  
% 3.08/1.90  % (29836)Memory used [KB]: 11641
% 3.08/1.90  % (29836)Time elapsed: 0.223 s
% 3.08/1.90  % (29836)Instructions burned: 711 (million)
% 3.08/1.90  % (29836)------------------------------
% 3.08/1.90  % (29836)------------------------------
% 3.08/1.90  % (29859)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_29531 for (2996ds/507Mi)
% 3.08/1.91  % (29860)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_29531 for (2996ds/149Mi)
% 3.08/1.92  % (29843)Instruction limit reached!
% 3.08/1.92  % (29843)------------------------------
% 3.08/1.92  % (29843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.92  % (29843)Termination reason: Unknown
% 3.08/1.92  % (29843)Termination phase: Saturation
% 3.08/1.92  
% 3.08/1.92  % (29843)Memory used [KB]: 7803
% 3.08/1.92  % (29843)Time elapsed: 0.211 s
% 3.08/1.92  % (29843)Instructions burned: 780 (million)
% 3.08/1.92  % (29843)------------------------------
% 3.08/1.92  % (29843)------------------------------
% 3.08/1.92  % (29858)Instruction limit reached!
% 3.08/1.92  % (29858)------------------------------
% 3.08/1.92  % (29858)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.92  % (29858)Termination reason: Unknown
% 3.08/1.92  % (29858)Termination phase: Property scanning
% 3.08/1.92  
% 3.08/1.92  % (29858)Memory used [KB]: 2686
% 3.08/1.92  % (29858)Time elapsed: 0.029 s
% 3.08/1.92  % (29858)Instructions burned: 101 (million)
% 3.08/1.92  % (29858)------------------------------
% 3.08/1.92  % (29858)------------------------------
% 3.08/1.93  % (29861)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_29531 for (2996ds/39Mi)
% 3.08/1.93  % (29862)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_29531 for (2996ds/6Mi)
% 3.08/1.94  % (29862)Instruction limit reached!
% 3.08/1.94  % (29862)------------------------------
% 3.08/1.94  % (29862)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.94  % (29862)Termination reason: Unknown
% 3.08/1.94  % (29862)Termination phase: shuffling
% 3.08/1.94  
% 3.08/1.94  % (29862)Memory used [KB]: 1663
% 3.08/1.94  % (29862)Time elapsed: 0.003 s
% 3.08/1.94  % (29862)Instructions burned: 7 (million)
% 3.08/1.94  % (29862)------------------------------
% 3.08/1.94  % (29862)------------------------------
% 3.08/1.94  % (29861)Instruction limit reached!
% 3.08/1.94  % (29861)------------------------------
% 3.08/1.94  % (29861)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.94  % (29861)Termination reason: Unknown
% 3.08/1.94  % (29861)Termination phase: shuffling
% 3.08/1.94  
% 3.08/1.94  % (29861)Memory used [KB]: 2302
% 3.08/1.94  % (29861)Time elapsed: 0.013 s
% 3.08/1.94  % (29861)Instructions burned: 41 (million)
% 3.08/1.94  % (29861)------------------------------
% 3.08/1.94  % (29861)------------------------------
% 3.08/1.95  % (29863)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_29531 for (2996ds/1087Mi)
% 3.08/1.95  % (29864)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_29531 for (2996ds/47Mi)
% 3.08/1.95  % (29860)Instruction limit reached!
% 3.08/1.95  % (29860)------------------------------
% 3.08/1.95  % (29860)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.95  % (29860)Termination reason: Unknown
% 3.08/1.95  % (29860)Termination phase: Twee Goal Transformation
% 3.08/1.95  
% 3.08/1.95  % (29860)Memory used [KB]: 3070
% 3.08/1.95  % (29860)Time elapsed: 0.040 s
% 3.08/1.95  % (29860)Instructions burned: 151 (million)
% 3.08/1.95  % (29860)------------------------------
% 3.08/1.95  % (29860)------------------------------
% 3.08/1.95  % (29827)Instruction limit reached!
% 3.08/1.95  % (29827)------------------------------
% 3.08/1.95  % (29827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.95  % (29827)Termination reason: Unknown
% 3.08/1.95  % (29827)Termination phase: Saturation
% 3.08/1.95  
% 3.08/1.95  % (29827)Memory used [KB]: 16886
% 3.08/1.95  % (29827)Time elapsed: 0.297 s
% 3.08/1.95  % (29827)Instructions burned: 1043 (million)
% 3.08/1.95  % (29827)------------------------------
% 3.08/1.95  % (29827)------------------------------
% 3.08/1.96  % (29865)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_29531 for (2996ds/44Mi)
% 3.08/1.96  % (29864)Instruction limit reached!
% 3.08/1.96  % (29864)------------------------------
% 3.08/1.96  % (29864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.96  % (29864)Termination reason: Unknown
% 3.08/1.96  % (29864)Termination phase: shuffling
% 3.08/1.96  
% 3.08/1.96  % (29864)Memory used [KB]: 2430
% 3.08/1.96  % (29864)Time elapsed: 0.015 s
% 3.08/1.96  % (29864)Instructions burned: 50 (million)
% 3.08/1.96  % (29864)------------------------------
% 3.08/1.96  % (29864)------------------------------
% 3.08/1.97  % (29866)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_29531 for (2996ds/432Mi)
% 3.08/1.97  % (29865)Instruction limit reached!
% 3.08/1.97  % (29865)------------------------------
% 3.08/1.97  % (29865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.97  % (29865)Termination reason: Unknown
% 3.08/1.97  % (29865)Termination phase: shuffling
% 3.08/1.97  
% 3.08/1.97  % (29865)Memory used [KB]: 2430
% 3.08/1.97  % (29865)Time elapsed: 0.013 s
% 3.08/1.97  % (29865)Instructions burned: 44 (million)
% 3.08/1.97  % (29865)------------------------------
% 3.08/1.97  % (29865)------------------------------
% 3.08/1.97  % (29867)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_29531 for (2996ds/62Mi)
% 3.08/1.98  % (29868)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_29531 for (2996ds/31Mi)
% 3.08/1.99  % (29856)Instruction limit reached!
% 3.08/1.99  % (29856)------------------------------
% 3.08/1.99  % (29856)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.99  % (29856)Termination reason: Unknown
% 3.08/1.99  % (29856)Termination phase: Saturation
% 3.08/1.99  
% 3.08/1.99  % (29856)Memory used [KB]: 7675
% 3.08/1.99  % (29856)Time elapsed: 0.112 s
% 3.08/1.99  % (29856)Instructions burned: 448 (million)
% 3.08/1.99  % (29856)------------------------------
% 3.08/1.99  % (29856)------------------------------
% 3.08/1.99  % (29867)Instruction limit reached!
% 3.08/1.99  % (29867)------------------------------
% 3.08/1.99  % (29867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.99  % (29867)Termination reason: Unknown
% 3.08/1.99  % (29867)Termination phase: Property scanning
% 3.08/1.99  
% 3.08/1.99  % (29867)Memory used [KB]: 2558
% 3.08/1.99  % (29867)Time elapsed: 0.018 s
% 3.08/1.99  % (29867)Instructions burned: 63 (million)
% 3.08/1.99  % (29867)------------------------------
% 3.08/1.99  % (29867)------------------------------
% 3.08/1.99  % (29868)Instruction limit reached!
% 3.08/1.99  % (29868)------------------------------
% 3.08/1.99  % (29868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.08/1.99  % (29868)Termination reason: Unknown
% 3.08/1.99  % (29868)Termination phase: shuffling
% 3.08/1.99  
% 3.08/1.99  % (29868)Memory used [KB]: 2174
% 3.08/1.99  % (29868)Time elapsed: 0.010 s
% 3.08/1.99  % (29868)Instructions burned: 32 (million)
% 3.08/1.99  % (29868)------------------------------
% 3.08/1.99  % (29868)------------------------------
% 3.08/2.00  % (29869)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_29531 for (2996ds/96Mi)
% 3.08/2.00  % (29870)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_29531 for (2996ds/453Mi)
% 3.08/2.00  % (29871)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_29531 for (2996ds/71Mi)
% 5.84/2.02  % (29871)Instruction limit reached!
% 5.84/2.02  % (29871)------------------------------
% 5.84/2.02  % (29871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.02  % (29871)Termination reason: Unknown
% 5.84/2.02  % (29871)Termination phase: Property scanning
% 5.84/2.02  
% 5.84/2.02  % (29871)Memory used [KB]: 2558
% 5.84/2.02  % (29871)Time elapsed: 0.020 s
% 5.84/2.02  % (29871)Instructions burned: 72 (million)
% 5.84/2.02  % (29871)------------------------------
% 5.84/2.02  % (29871)------------------------------
% 5.84/2.02  % (29869)Instruction limit reached!
% 5.84/2.02  % (29869)------------------------------
% 5.84/2.02  % (29869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.02  % (29869)Termination reason: Unknown
% 5.84/2.02  % (29869)Termination phase: Property scanning
% 5.84/2.02  
% 5.84/2.02  % (29869)Memory used [KB]: 2814
% 5.84/2.02  % (29869)Time elapsed: 0.026 s
% 5.84/2.02  % (29869)Instructions burned: 96 (million)
% 5.84/2.02  % (29869)------------------------------
% 5.84/2.02  % (29869)------------------------------
% 5.84/2.03  % (29872)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_29531 for (2995ds/83Mi)
% 5.84/2.03  % (29873)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_29531 for (2995ds/11Mi)
% 5.84/2.03  % (29873)Instruction limit reached!
% 5.84/2.03  % (29873)------------------------------
% 5.84/2.03  % (29873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.03  % (29873)Termination reason: Unknown
% 5.84/2.03  % (29873)Termination phase: shuffling
% 5.84/2.03  
% 5.84/2.03  % (29873)Memory used [KB]: 1791
% 5.84/2.03  % (29873)Time elapsed: 0.005 s
% 5.84/2.03  % (29873)Instructions burned: 13 (million)
% 5.84/2.03  % (29873)------------------------------
% 5.84/2.03  % (29873)------------------------------
% 5.84/2.04  % (29874)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_29531 for (2995ds/41Mi)
% 5.84/2.05  % (29859)Instruction limit reached!
% 5.84/2.05  % (29859)------------------------------
% 5.84/2.05  % (29859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.05  % (29859)Termination reason: Unknown
% 5.84/2.05  % (29859)Termination phase: Saturation
% 5.84/2.05  
% 5.84/2.05  % (29859)Memory used [KB]: 8187
% 5.84/2.05  % (29859)Time elapsed: 0.146 s
% 5.84/2.05  % (29859)Instructions burned: 507 (million)
% 5.84/2.05  % (29859)------------------------------
% 5.84/2.05  % (29859)------------------------------
% 5.84/2.05  % (29872)Instruction limit reached!
% 5.84/2.05  % (29872)------------------------------
% 5.84/2.05  % (29872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.05  % (29872)Termination reason: Unknown
% 5.84/2.05  % (29872)Termination phase: Property scanning
% 5.84/2.05  
% 5.84/2.05  % (29872)Memory used [KB]: 2558
% 5.84/2.05  % (29872)Time elapsed: 0.024 s
% 5.84/2.05  % (29872)Instructions burned: 86 (million)
% 5.84/2.05  % (29872)------------------------------
% 5.84/2.05  % (29872)------------------------------
% 5.84/2.05  % (29874)Instruction limit reached!
% 5.84/2.05  % (29874)------------------------------
% 5.84/2.05  % (29874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.05  % (29874)Termination reason: Unknown
% 5.84/2.05  % (29874)Termination phase: shuffling
% 5.84/2.05  
% 5.84/2.05  % (29874)Memory used [KB]: 2302
% 5.84/2.05  % (29874)Time elapsed: 0.012 s
% 5.84/2.05  % (29874)Instructions burned: 41 (million)
% 5.84/2.05  % (29874)------------------------------
% 5.84/2.05  % (29874)------------------------------
% 5.84/2.06  % (29875)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_29531 for (2995ds/6Mi)
% 5.84/2.06  % (29875)Instruction limit reached!
% 5.84/2.06  % (29875)------------------------------
% 5.84/2.06  % (29875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.06  % (29875)Termination reason: Unknown
% 5.84/2.06  % (29875)Termination phase: shuffling
% 5.84/2.06  
% 5.84/2.06  % (29875)Memory used [KB]: 1535
% 5.84/2.06  % (29875)Time elapsed: 0.003 s
% 5.84/2.06  % (29875)Instructions burned: 6 (million)
% 5.84/2.06  % (29875)------------------------------
% 5.84/2.06  % (29875)------------------------------
% 5.84/2.06  % (29876)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_29531 for (2995ds/150Mi)
% 5.84/2.06  % (29877)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_29531 for (2995ds/343Mi)
% 5.84/2.07  % (29878)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_29531 for (2995ds/109Mi)
% 5.84/2.07  % (29845)Instruction limit reached!
% 5.84/2.07  % (29845)------------------------------
% 5.84/2.07  % (29845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.07  % (29845)Termination reason: Unknown
% 5.84/2.07  % (29845)Termination phase: Saturation
% 5.84/2.07  
% 5.84/2.07  % (29845)Memory used [KB]: 10362
% 5.84/2.07  % (29845)Time elapsed: 0.317 s
% 5.84/2.07  % (29845)Instructions burned: 879 (million)
% 5.84/2.07  % (29845)------------------------------
% 5.84/2.07  % (29845)------------------------------
% 5.84/2.08  % (29866)Instruction limit reached!
% 5.84/2.08  % (29866)------------------------------
% 5.84/2.08  % (29866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.08  % (29866)Termination reason: Unknown
% 5.84/2.08  % (29866)Termination phase: Saturation
% 5.84/2.08  
% 5.84/2.08  % (29866)Memory used [KB]: 3198
% 5.84/2.08  % (29866)Time elapsed: 0.112 s
% 5.84/2.08  % (29866)Instructions burned: 433 (million)
% 5.84/2.08  % (29866)------------------------------
% 5.84/2.08  % (29866)------------------------------
% 5.84/2.09  % (29880)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_29531 for (2995ds/140Mi)
% 5.84/2.09  % (29879)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_29531 for (2995ds/253Mi)
% 5.84/2.10  % (29878)Instruction limit reached!
% 5.84/2.10  % (29878)------------------------------
% 5.84/2.10  % (29878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.10  % (29878)Termination reason: Unknown
% 5.84/2.10  % (29878)Termination phase: SInE selection
% 5.84/2.10  
% 5.84/2.10  % (29878)Memory used [KB]: 2686
% 5.84/2.10  % (29878)Time elapsed: 0.029 s
% 5.84/2.10  % (29878)Instructions burned: 110 (million)
% 5.84/2.10  % (29878)------------------------------
% 5.84/2.10  % (29878)------------------------------
% 5.84/2.10  % (29876)Instruction limit reached!
% 5.84/2.10  % (29876)------------------------------
% 5.84/2.10  % (29876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.10  % (29876)Termination reason: Unknown
% 5.84/2.10  % (29876)Termination phase: Property scanning
% 5.84/2.10  
% 5.84/2.10  % (29876)Memory used [KB]: 5245
% 5.84/2.10  % (29876)Time elapsed: 0.045 s
% 5.84/2.10  % (29876)Instructions burned: 153 (million)
% 5.84/2.10  % (29876)------------------------------
% 5.84/2.10  % (29876)------------------------------
% 5.84/2.11  % (29881)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_29531 for (2994ds/614Mi)
% 5.84/2.11  % (29870)Instruction limit reached!
% 5.84/2.11  % (29870)------------------------------
% 5.84/2.11  % (29870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.84/2.11  % (29870)Termination reason: Unknown
% 5.84/2.11  % (29870)Termination phase: Saturation
% 5.84/2.11  
% 5.84/2.11  % (29870)Memory used [KB]: 7675
% 5.84/2.11  % (29870)Time elapsed: 0.113 s
% 5.84/2.11  % (29870)Instructions burned: 453 (million)
% 5.84/2.11  % (29870)------------------------------
% 5.84/2.11  % (29870)------------------------------
% 6.44/2.11  % (29882)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_29531 for (2994ds/202Mi)
% 6.44/2.12  % (29883)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_29531 for (2994ds/339Mi)
% 6.44/2.12  % (29880)Instruction limit reached!
% 6.44/2.12  % (29880)------------------------------
% 6.44/2.12  % (29880)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.12  % (29880)Termination reason: Unknown
% 6.44/2.12  % (29880)Termination phase: Property scanning
% 6.44/2.12  
% 6.44/2.12  % (29880)Memory used [KB]: 2814
% 6.44/2.12  % (29880)Time elapsed: 0.037 s
% 6.44/2.12  % (29880)Instructions burned: 140 (million)
% 6.44/2.12  % (29880)------------------------------
% 6.44/2.12  % (29880)------------------------------
% 6.44/2.13  % (29884)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_29531 for (2994ds/283Mi)
% 6.44/2.15  % (29877)Instruction limit reached!
% 6.44/2.15  % (29877)------------------------------
% 6.44/2.15  % (29877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.15  % (29877)Termination reason: Unknown
% 6.44/2.15  % (29877)Termination phase: Saturation
% 6.44/2.15  
% 6.44/2.15  % (29877)Memory used [KB]: 8315
% 6.44/2.15  % (29877)Time elapsed: 0.090 s
% 6.44/2.15  % (29877)Instructions burned: 343 (million)
% 6.44/2.15  % (29877)------------------------------
% 6.44/2.15  % (29877)------------------------------
% 6.44/2.16  % (29885)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_29531 for (2994ds/134Mi)
% 6.44/2.17  % (29882)Instruction limit reached!
% 6.44/2.17  % (29882)------------------------------
% 6.44/2.17  % (29882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.17  % (29882)Termination reason: Unknown
% 6.44/2.17  % (29882)Termination phase: Property scanning
% 6.44/2.17  
% 6.44/2.17  % (29882)Memory used [KB]: 5373
% 6.44/2.17  % (29882)Time elapsed: 0.060 s
% 6.44/2.17  % (29882)Instructions burned: 205 (million)
% 6.44/2.17  % (29882)------------------------------
% 6.44/2.17  % (29882)------------------------------
% 6.44/2.18  % (29879)Instruction limit reached!
% 6.44/2.18  % (29879)------------------------------
% 6.44/2.18  % (29879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.18  % (29879)Termination reason: Unknown
% 6.44/2.18  % (29879)Termination phase: Saturation
% 6.44/2.18  
% 6.44/2.18  % (29879)Memory used [KB]: 5628
% 6.44/2.18  % (29879)Time elapsed: 0.090 s
% 6.44/2.18  % (29879)Instructions burned: 254 (million)
% 6.44/2.18  % (29879)------------------------------
% 6.44/2.18  % (29879)------------------------------
% 6.44/2.18  % (29886)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_29531 for (2994ds/298Mi)
% 6.44/2.19  % (29887)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_29531 for (2994ds/192Mi)
% 6.84/2.20  % (29885)Instruction limit reached!
% 6.84/2.20  % (29885)------------------------------
% 6.84/2.20  % (29885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.84/2.20  % (29885)Termination reason: Unknown
% 6.84/2.20  % (29885)Termination phase: Function definition elimination
% 6.84/2.20  
% 6.84/2.20  % (29885)Memory used [KB]: 2814
% 6.84/2.20  % (29885)Time elapsed: 0.036 s
% 6.84/2.20  % (29885)Instructions burned: 134 (million)
% 6.84/2.20  % (29885)------------------------------
% 6.84/2.20  % (29885)------------------------------
% 6.84/2.20  % (29884)Instruction limit reached!
% 6.84/2.20  % (29884)------------------------------
% 6.84/2.20  % (29884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.84/2.20  % (29884)Termination reason: Unknown
% 6.84/2.20  % (29884)Termination phase: Saturation
% 6.84/2.20  
% 6.84/2.20  % (29884)Memory used [KB]: 7547
% 6.84/2.20  % (29884)Time elapsed: 0.073 s
% 6.84/2.20  % (29884)Instructions burned: 285 (million)
% 6.84/2.20  % (29884)------------------------------
% 6.84/2.20  % (29884)------------------------------
% 6.84/2.21  % (29888)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_29531 for (2993ds/258Mi)
% 6.84/2.21  % (29889)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_29531 for (2993ds/90Mi)
% 6.84/2.21  % (29883)Instruction limit reached!
% 6.84/2.21  % (29883)------------------------------
% 6.84/2.21  % (29883)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.84/2.21  % (29883)Termination reason: Unknown
% 6.84/2.21  % (29883)Termination phase: Saturation
% 6.84/2.21  
% 6.84/2.21  % (29883)Memory used [KB]: 7931
% 6.84/2.21  % (29883)Time elapsed: 0.094 s
% 6.84/2.21  % (29883)Instructions burned: 340 (million)
% 6.84/2.21  % (29883)------------------------------
% 6.84/2.21  % (29883)------------------------------
% 6.84/2.22  % (29890)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_29531 for (2993ds/231Mi)
% 6.84/2.24  % (29889)Instruction limit reached!
% 6.84/2.24  % (29889)------------------------------
% 6.84/2.24  % (29889)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.84/2.24  % (29889)Termination reason: Unknown
% 6.84/2.24  % (29889)Termination phase: Property scanning
% 6.84/2.24  
% 6.84/2.24  % (29889)Memory used [KB]: 2558
% 6.84/2.24  % (29889)Time elapsed: 0.025 s
% 6.84/2.24  % (29889)Instructions burned: 93 (million)
% 6.84/2.24  % (29889)------------------------------
% 6.84/2.24  % (29889)------------------------------
% 6.84/2.24  % (29887)Instruction limit reached!
% 6.84/2.24  % (29887)------------------------------
% 6.84/2.24  % (29887)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.84/2.24  % (29887)Termination reason: Unknown
% 6.84/2.24  % (29887)Termination phase: Saturation
% 6.84/2.24  
% 6.84/2.24  % (29887)Memory used [KB]: 7419
% 6.84/2.24  % (29887)Time elapsed: 0.054 s
% 6.84/2.24  % (29887)Instructions burned: 192 (million)
% 6.84/2.24  % (29887)------------------------------
% 6.84/2.24  % (29887)------------------------------
% 6.84/2.25  % (29891)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_29531 for (2993ds/458Mi)
% 6.84/2.25  % (29892)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_29531 for (2993ds/31Mi)
% 6.84/2.26  % (29886)Instruction limit reached!
% 6.84/2.26  % (29886)------------------------------
% 6.84/2.26  % (29886)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.84/2.26  % (29886)Termination reason: Unknown
% 6.84/2.26  % (29886)Termination phase: Saturation
% 6.84/2.26  
% 6.84/2.26  % (29886)Memory used [KB]: 7547
% 6.84/2.26  % (29886)Time elapsed: 0.076 s
% 6.84/2.26  % (29886)Instructions burned: 301 (million)
% 6.84/2.26  % (29886)------------------------------
% 6.84/2.26  % (29886)------------------------------
% 6.84/2.26  % (29892)Instruction limit reached!
% 6.84/2.26  % (29892)------------------------------
% 6.84/2.26  % (29892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.84/2.26  % (29892)Termination reason: Unknown
% 6.84/2.26  % (29892)Termination phase: shuffling
% 6.84/2.26  
% 6.84/2.26  % (29892)Memory used [KB]: 2174
% 6.84/2.26  % (29892)Time elapsed: 0.010 s
% 6.84/2.26  % (29892)Instructions burned: 31 (million)
% 6.84/2.26  % (29892)------------------------------
% 6.84/2.26  % (29892)------------------------------
% 6.84/2.27  % (29893)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_29531 for (2993ds/297Mi)
% 6.84/2.27  % (29894)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_29531 for (2993ds/987Mi)
% 6.84/2.27  % (29888)Instruction limit reached!
% 6.84/2.27  % (29888)------------------------------
% 6.84/2.27  % (29888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.84/2.27  % (29888)Termination reason: Unknown
% 6.84/2.27  % (29888)Termination phase: Saturation
% 6.84/2.27  
% 6.84/2.27  % (29888)Memory used [KB]: 7803
% 6.84/2.27  % (29888)Time elapsed: 0.067 s
% 6.84/2.27  % (29888)Instructions burned: 258 (million)
% 6.84/2.27  % (29888)------------------------------
% 6.84/2.27  % (29888)------------------------------
% 6.84/2.28  % (29881)Instruction limit reached!
% 6.84/2.28  % (29881)------------------------------
% 6.84/2.28  % (29881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.84/2.28  % (29881)Termination reason: Unknown
% 6.84/2.28  % (29881)Termination phase: Saturation
% 6.84/2.28  
% 6.84/2.28  % (29881)Memory used [KB]: 10234
% 6.84/2.28  % (29881)Time elapsed: 0.177 s
% 6.84/2.28  % (29881)Instructions burned: 615 (million)
% 6.84/2.28  % (29881)------------------------------
% 6.84/2.28  % (29881)------------------------------
% 6.84/2.28  % (29890)Instruction limit reached!
% 6.84/2.28  % (29890)------------------------------
% 6.84/2.28  % (29890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.84/2.28  % (29890)Termination reason: Unknown
% 6.84/2.28  % (29890)Termination phase: Saturation
% 6.84/2.28  
% 6.84/2.28  % (29890)Memory used [KB]: 3837
% 6.84/2.28  % (29890)Time elapsed: 0.060 s
% 6.84/2.28  % (29890)Instructions burned: 232 (million)
% 6.84/2.28  % (29890)------------------------------
% 6.84/2.28  % (29890)------------------------------
% 6.84/2.28  % (29895)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_29531 for (2993ds/182Mi)
% 6.84/2.29  % (29896)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_29531 for (2993ds/182Mi)
% 6.84/2.29  % (29897)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_29531 for (2993ds/154Mi)
% 6.84/2.30  % (29863)Instruction limit reached!
% 6.84/2.30  % (29863)------------------------------
% 6.84/2.30  % (29863)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.84/2.30  % (29863)Termination reason: Unknown
% 6.84/2.30  % (29863)Termination phase: Saturation
% 6.84/2.30  
% 6.84/2.30  % (29863)Memory used [KB]: 12792
% 6.84/2.30  % (29863)Time elapsed: 0.351 s
% 6.84/2.30  % (29863)Instructions burned: 1087 (million)
% 6.84/2.30  % (29863)------------------------------
% 6.84/2.30  % (29863)------------------------------
% 7.69/2.31  % (29898)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_29531 for (2992ds/79Mi)
% 7.69/2.33  % (29898)Instruction limit reached!
% 7.69/2.33  % (29898)------------------------------
% 7.69/2.33  % (29898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.69/2.33  % (29898)Termination reason: Unknown
% 7.69/2.33  % (29898)Termination phase: Property scanning
% 7.69/2.33  
% 7.69/2.33  % (29898)Memory used [KB]: 2558
% 7.69/2.33  % (29898)Time elapsed: 0.022 s
% 7.69/2.33  % (29898)Instructions burned: 80 (million)
% 7.69/2.33  % (29898)------------------------------
% 7.69/2.33  % (29898)------------------------------
% 7.69/2.33  % (29895)Instruction limit reached!
% 7.69/2.33  % (29895)------------------------------
% 7.69/2.33  % (29895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.69/2.33  % (29895)Termination reason: Unknown
% 7.69/2.33  % (29895)Termination phase: Saturation
% 7.69/2.33  
% 7.69/2.33  % (29895)Memory used [KB]: 7419
% 7.69/2.33  % (29895)Time elapsed: 0.048 s
% 7.69/2.33  % (29895)Instructions burned: 185 (million)
% 7.69/2.33  % (29895)------------------------------
% 7.69/2.33  % (29895)------------------------------
% 7.69/2.33  % (29897)Instruction limit reached!
% 7.69/2.33  % (29897)------------------------------
% 7.69/2.33  % (29897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.69/2.33  % (29897)Termination reason: Unknown
% 7.69/2.33  % (29897)Termination phase: Property scanning
% 7.69/2.33  
% 7.69/2.33  % (29897)Memory used [KB]: 3070
% 7.69/2.33  % (29897)Time elapsed: 0.040 s
% 7.69/2.33  % (29897)Instructions burned: 156 (million)
% 7.69/2.33  % (29897)------------------------------
% 7.69/2.33  % (29897)------------------------------
% 7.69/2.34  % (29899)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_29531 for (2992ds/216Mi)
% 7.69/2.34  % (29900)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_29531 for (2992ds/114Mi)
% 7.69/2.34  % (29901)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_29531 for (2992ds/922Mi)
% 7.69/2.34  % (29893)Instruction limit reached!
% 7.69/2.34  % (29893)------------------------------
% 7.69/2.34  % (29893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.69/2.34  % (29893)Termination reason: Unknown
% 7.69/2.34  % (29893)Termination phase: Saturation
% 7.69/2.34  
% 7.69/2.34  % (29893)Memory used [KB]: 7547
% 7.69/2.34  % (29893)Time elapsed: 0.074 s
% 7.69/2.34  % (29893)Instructions burned: 297 (million)
% 7.69/2.34  % (29893)------------------------------
% 7.69/2.34  % (29893)------------------------------
% 7.69/2.34  % (29896)Instruction limit reached!
% 7.69/2.34  % (29896)------------------------------
% 7.69/2.34  % (29896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.69/2.34  % (29896)Termination reason: Unknown
% 7.69/2.34  % (29896)Termination phase: Property scanning
% 7.69/2.34  
% 7.69/2.34  % (29896)Memory used [KB]: 5245
% 7.69/2.34  % (29896)Time elapsed: 0.053 s
% 7.69/2.34  % (29896)Instructions burned: 183 (million)
% 7.69/2.34  % (29896)------------------------------
% 7.69/2.34  % (29896)------------------------------
% 7.69/2.35  % (29902)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_29531 for (2992ds/182Mi)
% 7.69/2.35  % (29903)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_29531 for (2992ds/164Mi)
% 7.69/2.37  % (29891)Instruction limit reached!
% 7.69/2.37  % (29891)------------------------------
% 7.69/2.37  % (29891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.69/2.37  % (29891)Termination reason: Unknown
% 7.69/2.37  % (29891)Termination phase: Saturation
% 7.69/2.37  
% 7.69/2.37  % (29891)Memory used [KB]: 9722
% 7.69/2.37  % (29891)Time elapsed: 0.122 s
% 7.69/2.37  % (29891)Instructions burned: 459 (million)
% 7.69/2.37  % (29891)------------------------------
% 7.69/2.37  % (29891)------------------------------
% 7.69/2.37  % (29900)Instruction limit reached!
% 7.69/2.37  % (29900)------------------------------
% 7.69/2.37  % (29900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.69/2.37  % (29900)Termination reason: Unknown
% 7.69/2.37  % (29900)Termination phase: Property scanning
% 7.69/2.37  
% 7.69/2.37  % (29900)Memory used [KB]: 2814
% 7.69/2.37  % (29900)Time elapsed: 0.031 s
% 7.69/2.37  % (29900)Instructions burned: 117 (million)
% 7.69/2.37  % (29900)------------------------------
% 7.69/2.37  % (29900)------------------------------
% 7.69/2.38  % (29904)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_29531 for (2992ds/50Mi)
% 7.69/2.38  % (29905)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_29531 for (2992ds/368Mi)
% 7.69/2.39  % (29899)Instruction limit reached!
% 7.69/2.39  % (29899)------------------------------
% 7.69/2.39  % (29899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.69/2.39  % (29899)Termination reason: Unknown
% 7.69/2.39  % (29899)Termination phase: Property scanning
% 7.69/2.39  
% 7.69/2.39  % (29899)Memory used [KB]: 3070
% 7.69/2.39  % (29899)Time elapsed: 0.054 s
% 7.69/2.39  % (29899)Instructions burned: 218 (million)
% 7.69/2.39  % (29899)------------------------------
% 7.69/2.39  % (29899)------------------------------
% 7.69/2.39  % (29904)Instruction limit reached!
% 7.69/2.39  % (29904)------------------------------
% 7.69/2.39  % (29904)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.69/2.39  % (29904)Termination reason: Unknown
% 7.69/2.39  % (29904)Termination phase: shuffling
% 7.69/2.39  
% 7.69/2.39  % (29904)Memory used [KB]: 2558
% 7.69/2.39  % (29904)Time elapsed: 0.015 s
% 7.69/2.39  % (29904)Instructions burned: 53 (million)
% 7.69/2.39  % (29904)------------------------------
% 7.69/2.39  % (29904)------------------------------
% 7.69/2.39  % (29903)Instruction limit reached!
% 7.69/2.39  % (29903)------------------------------
% 7.69/2.39  % (29903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.69/2.39  % (29903)Termination reason: Unknown
% 7.69/2.39  % (29903)Termination phase: Function definition elimination
% 7.69/2.39  
% 7.69/2.39  % (29903)Memory used [KB]: 2814
% 7.69/2.39  % (29903)Time elapsed: 0.042 s
% 7.69/2.39  % (29903)Instructions burned: 166 (million)
% 7.69/2.39  % (29903)------------------------------
% 7.69/2.39  % (29903)------------------------------
% 7.69/2.40  % (29902)Instruction limit reached!
% 7.69/2.40  % (29902)------------------------------
% 7.69/2.40  % (29902)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.69/2.40  % (29902)Termination reason: Unknown
% 7.69/2.40  % (29902)Termination phase: Property scanning
% 7.69/2.40  
% 7.69/2.40  % (29902)Memory used [KB]: 3070
% 7.69/2.40  % (29902)Time elapsed: 0.046 s
% 7.69/2.40  % (29902)Instructions burned: 182 (million)
% 7.69/2.40  % (29902)------------------------------
% 7.69/2.40  % (29902)------------------------------
% 8.35/2.40  % (29906)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_29531 for (2992ds/1021Mi)
% 8.35/2.40  % (29907)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_29531 for (2992ds/267Mi)
% 8.35/2.40  % (29908)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_29531 for (2992ds/204Mi)
% 8.35/2.41  % (29909)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_29531 for (2992ds/26Mi)
% 8.35/2.41  % (29909)Instruction limit reached!
% 8.35/2.41  % (29909)------------------------------
% 8.35/2.41  % (29909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.35/2.41  % (29909)Termination reason: Unknown
% 8.35/2.41  % (29909)Termination phase: shuffling
% 8.35/2.41  
% 8.35/2.41  % (29909)Memory used [KB]: 2174
% 8.35/2.41  % (29909)Time elapsed: 0.008 s
% 8.35/2.41  % (29909)Instructions burned: 26 (million)
% 8.35/2.41  % (29909)------------------------------
% 8.35/2.41  % (29909)------------------------------
% 8.35/2.42  % (29910)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_29531 for (2991ds/53Mi)
% 8.35/2.44  % (29910)Instruction limit reached!
% 8.35/2.44  % (29910)------------------------------
% 8.35/2.44  % (29910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.35/2.44  % (29910)Termination reason: Unknown
% 8.35/2.44  % (29910)Termination phase: shuffling
% 8.35/2.44  
% 8.35/2.44  % (29910)Memory used [KB]: 2558
% 8.35/2.44  % (29910)Time elapsed: 0.015 s
% 8.35/2.44  % (29910)Instructions burned: 53 (million)
% 8.35/2.44  % (29910)------------------------------
% 8.35/2.44  % (29910)------------------------------
% 8.35/2.45  % (29911)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_29531 for (2991ds/4436Mi)
% 8.35/2.46  % (29908)Instruction limit reached!
% 8.35/2.46  % (29908)------------------------------
% 8.35/2.46  % (29908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.35/2.46  % (29908)Termination reason: Unknown
% 8.35/2.46  % (29908)Termination phase: Property scanning
% 8.35/2.46  
% 8.35/2.46  % (29908)Memory used [KB]: 2942
% 8.35/2.46  % (29908)Time elapsed: 0.053 s
% 8.35/2.46  % (29908)Instructions burned: 207 (million)
% 8.35/2.46  % (29908)------------------------------
% 8.35/2.46  % (29908)------------------------------
% 8.35/2.47  % (29912)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_29531 for (2991ds/1539Mi)
% 8.35/2.47  % (29907)Instruction limit reached!
% 8.35/2.47  % (29907)------------------------------
% 8.35/2.47  % (29907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.35/2.47  % (29907)Termination reason: Unknown
% 8.35/2.47  % (29907)Termination phase: Saturation
% 8.35/2.47  
% 8.35/2.47  % (29907)Memory used [KB]: 7547
% 8.35/2.47  % (29907)Time elapsed: 0.068 s
% 8.35/2.47  % (29907)Instructions burned: 270 (million)
% 8.35/2.47  % (29907)------------------------------
% 8.35/2.47  % (29907)------------------------------
% 8.35/2.48  % (29905)Instruction limit reached!
% 8.35/2.48  % (29905)------------------------------
% 8.35/2.48  % (29905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.35/2.48  % (29905)Termination reason: Unknown
% 8.35/2.48  % (29905)Termination phase: Saturation
% 8.35/2.48  
% 8.35/2.48  % (29905)Memory used [KB]: 9338
% 8.35/2.48  % (29905)Time elapsed: 0.098 s
% 8.35/2.48  % (29905)Instructions burned: 369 (million)
% 8.35/2.48  % (29905)------------------------------
% 8.35/2.48  % (29905)------------------------------
% 8.35/2.48  % (29913)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_29531 for (2991ds/408Mi)
% 8.35/2.49  % (29914)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_29531 for (2991ds/5205Mi)
% 8.64/2.52  % (29894)Instruction limit reached!
% 8.64/2.52  % (29894)------------------------------
% 8.64/2.52  % (29894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.64/2.52  % (29894)Termination reason: Unknown
% 8.64/2.52  % (29894)Termination phase: Saturation
% 8.64/2.52  
% 8.64/2.52  % (29894)Memory used [KB]: 17142
% 8.64/2.52  % (29894)Time elapsed: 0.251 s
% 8.64/2.52  % (29894)Instructions burned: 987 (million)
% 8.64/2.52  % (29894)------------------------------
% 8.64/2.52  % (29894)------------------------------
% 8.64/2.53  % (29915)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_29531 for (2990ds/1913Mi)
% 8.91/2.60  % (29913)Instruction limit reached!
% 8.91/2.60  % (29913)------------------------------
% 8.91/2.60  % (29913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.91/2.60  % (29913)Termination reason: Unknown
% 8.91/2.60  % (29913)Termination phase: Saturation
% 8.91/2.60  
% 8.91/2.60  % (29913)Memory used [KB]: 11513
% 8.91/2.60  % (29913)Time elapsed: 0.120 s
% 8.91/2.60  % (29913)Instructions burned: 408 (million)
% 8.91/2.60  % (29913)------------------------------
% 8.91/2.60  % (29913)------------------------------
% 8.91/2.61  % (29916)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_29531 for (2990ds/4350Mi)
% 8.91/2.62  % (29901)Instruction limit reached!
% 8.91/2.62  % (29901)------------------------------
% 8.91/2.62  % (29901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.91/2.62  % (29901)Termination reason: Unknown
% 8.91/2.62  % (29901)Termination phase: Saturation
% 8.91/2.62  
% 8.91/2.62  % (29901)Memory used [KB]: 12665
% 8.91/2.62  % (29901)Time elapsed: 0.284 s
% 8.91/2.62  % (29901)Instructions burned: 923 (million)
% 8.91/2.62  % (29901)------------------------------
% 8.91/2.62  % (29901)------------------------------
% 8.91/2.63  % (29917)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_29531 for (2989ds/68Mi)
% 8.91/2.65  % (29917)Instruction limit reached!
% 8.91/2.65  % (29917)------------------------------
% 8.91/2.65  % (29917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.91/2.65  % (29917)Termination reason: Unknown
% 8.91/2.65  % (29917)Termination phase: Property scanning
% 8.91/2.65  
% 8.91/2.65  % (29917)Memory used [KB]: 2558
% 8.91/2.65  % (29917)Time elapsed: 0.020 s
% 8.91/2.65  % (29917)Instructions burned: 70 (million)
% 8.91/2.65  % (29917)------------------------------
% 8.91/2.65  % (29917)------------------------------
% 8.91/2.66  % (29918)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_29531 for (2989ds/358Mi)
% 9.37/2.72  % (29906)Instruction limit reached!
% 9.37/2.72  % (29906)------------------------------
% 9.37/2.72  % (29906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.37/2.72  % (29906)Termination reason: Unknown
% 9.37/2.72  % (29906)Termination phase: Saturation
% 9.37/2.72  
% 9.37/2.72  % (29906)Memory used [KB]: 12792
% 9.37/2.72  % (29906)Time elapsed: 0.318 s
% 9.37/2.72  % (29906)Instructions burned: 1023 (million)
% 9.37/2.72  % (29906)------------------------------
% 9.37/2.72  % (29906)------------------------------
% 9.37/2.73  % (29919)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_29531 for (2988ds/31Mi)
% 9.37/2.74  % (29919)Instruction limit reached!
% 9.37/2.74  % (29919)------------------------------
% 9.37/2.74  % (29919)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.37/2.74  % (29919)Termination reason: Unknown
% 9.37/2.74  % (29919)Termination phase: shuffling
% 9.37/2.74  
% 9.37/2.74  % (29919)Memory used [KB]: 2174
% 9.37/2.74  % (29919)Time elapsed: 0.011 s
% 9.37/2.74  % (29919)Instructions burned: 34 (million)
% 9.37/2.74  % (29919)------------------------------
% 9.37/2.74  % (29919)------------------------------
% 9.37/2.75  % (29920)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_29531 for (2988ds/279Mi)
% 9.37/2.76  % (29918)Instruction limit reached!
% 9.37/2.76  % (29918)------------------------------
% 9.37/2.76  % (29918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.37/2.76  % (29918)Termination reason: Unknown
% 9.37/2.76  % (29918)Termination phase: Saturation
% 9.37/2.76  
% 9.37/2.76  % (29918)Memory used [KB]: 8443
% 9.37/2.76  % (29918)Time elapsed: 0.096 s
% 9.37/2.76  % (29918)Instructions burned: 361 (million)
% 9.37/2.76  % (29918)------------------------------
% 9.37/2.76  % (29918)------------------------------
% 9.37/2.77  % (29921)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_29531 for (2988ds/258Mi)
% 9.82/2.82  % (29920)Instruction limit reached!
% 9.82/2.82  % (29920)------------------------------
% 9.82/2.82  % (29920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.82/2.82  % (29920)Termination reason: Unknown
% 9.82/2.82  % (29920)Termination phase: Saturation
% 9.82/2.82  
% 9.82/2.82  % (29920)Memory used [KB]: 7547
% 9.82/2.82  % (29920)Time elapsed: 0.070 s
% 9.82/2.82  % (29920)Instructions burned: 281 (million)
% 9.82/2.82  % (29920)------------------------------
% 9.82/2.82  % (29920)------------------------------
% 9.82/2.82  % (29922)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_29531 for (2987ds/26Mi)
% 9.82/2.83  % (29922)Instruction limit reached!
% 9.82/2.83  % (29922)------------------------------
% 9.82/2.83  % (29922)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.82/2.83  % (29922)Termination reason: Unknown
% 9.82/2.83  % (29922)Termination phase: shuffling
% 9.82/2.83  
% 9.82/2.83  % (29922)Memory used [KB]: 2046
% 9.82/2.83  % (29922)Time elapsed: 0.009 s
% 9.82/2.83  % (29922)Instructions burned: 28 (million)
% 9.82/2.83  % (29922)------------------------------
% 9.82/2.83  % (29922)------------------------------
% 9.82/2.83  % (29921)Instruction limit reached!
% 9.82/2.83  % (29921)------------------------------
% 9.82/2.83  % (29921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.82/2.83  % (29921)Termination reason: Unknown
% 9.82/2.83  % (29921)Termination phase: Saturation
% 9.82/2.83  
% 9.82/2.83  % (29921)Memory used [KB]: 8187
% 9.82/2.83  % (29921)Time elapsed: 0.069 s
% 9.82/2.83  % (29921)Instructions burned: 260 (million)
% 9.82/2.83  % (29921)------------------------------
% 9.82/2.83  % (29921)------------------------------
% 9.82/2.84  % (29923)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_29531 for (2987ds/995Mi)
% 9.82/2.84  % (29924)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_29531 for (2987ds/373Mi)
% 9.99/2.93  % (29912)Instruction limit reached!
% 9.99/2.93  % (29912)------------------------------
% 9.99/2.93  % (29912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.99/2.93  % (29912)Termination reason: Unknown
% 9.99/2.93  % (29912)Termination phase: Saturation
% 9.99/2.93  
% 9.99/2.93  % (29912)Memory used [KB]: 11129
% 9.99/2.93  % (29912)Time elapsed: 0.467 s
% 9.99/2.93  % (29912)Instructions burned: 1540 (million)
% 9.99/2.93  % (29912)------------------------------
% 9.99/2.93  % (29912)------------------------------
% 9.99/2.94  % (29925)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_29531 for (2986ds/253Mi)
% 9.99/2.94  % (29924)Instruction limit reached!
% 9.99/2.94  % (29924)------------------------------
% 9.99/2.94  % (29924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.99/2.94  % (29924)Termination reason: Unknown
% 9.99/2.94  % (29924)Termination phase: Saturation
% 9.99/2.94  
% 9.99/2.94  % (29924)Memory used [KB]: 9466
% 9.99/2.94  % (29924)Time elapsed: 0.099 s
% 9.99/2.94  % (29924)Instructions burned: 375 (million)
% 9.99/2.94  % (29924)------------------------------
% 9.99/2.94  % (29924)------------------------------
% 9.99/2.95  % (29926)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_29531 for (2986ds/832Mi)
% 9.99/3.01  % (29925)Instruction limit reached!
% 9.99/3.01  % (29925)------------------------------
% 9.99/3.01  % (29925)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.99/3.01  % (29925)Termination reason: Unknown
% 9.99/3.01  % (29925)Termination phase: Saturation
% 9.99/3.01  
% 9.99/3.01  % (29925)Memory used [KB]: 7547
% 9.99/3.01  % (29925)Time elapsed: 0.066 s
% 9.99/3.01  % (29925)Instructions burned: 254 (million)
% 9.99/3.01  % (29925)------------------------------
% 9.99/3.01  % (29925)------------------------------
% 9.99/3.02  % (29927)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_29531 for (2985ds/668Mi)
% 12.93/3.09  % (29926)Refutation not found, incomplete strategy
% 12.93/3.09  % (29926)------------------------------
% 12.93/3.09  % (29926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.93/3.09  % (29926)Termination reason: Refutation not found, incomplete strategy
% 12.93/3.09  
% 12.93/3.09  
% 12.93/3.09  % (29926)Memory used [KB]: 11513
% 12.93/3.09  % (29926)Time elapsed: 0.142 s
% 12.93/3.09  % (29926)Instructions burned: 463 (million)
% 12.93/3.09  % (29926)------------------------------
% 12.93/3.09  % (29926)------------------------------
% 12.93/3.09  % (29923)Instruction limit reached!
% 12.93/3.09  % (29923)------------------------------
% 12.93/3.09  % (29923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.93/3.09  % (29923)Termination reason: Unknown
% 12.93/3.09  % (29923)Termination phase: Saturation
% 12.93/3.09  
% 12.93/3.09  % (29923)Memory used [KB]: 16375
% 12.93/3.09  % (29923)Time elapsed: 0.254 s
% 12.93/3.09  % (29923)Instructions burned: 997 (million)
% 12.93/3.09  % (29923)------------------------------
% 12.93/3.09  % (29923)------------------------------
% 12.93/3.10  % (29928)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_29531 for (2985ds/40Mi)
% 12.93/3.11  % (29929)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_29531 for (2985ds/294Mi)
% 12.93/3.11  % (29928)Instruction limit reached!
% 12.93/3.11  % (29928)------------------------------
% 12.93/3.11  % (29928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.93/3.11  % (29928)Termination reason: Unknown
% 12.93/3.11  % (29928)Termination phase: shuffling
% 12.93/3.11  
% 12.93/3.11  % (29928)Memory used [KB]: 2302
% 12.93/3.11  % (29928)Time elapsed: 0.012 s
% 12.93/3.11  % (29928)Instructions burned: 40 (million)
% 12.93/3.11  % (29928)------------------------------
% 12.93/3.11  % (29928)------------------------------
% 12.93/3.12  % (29915)Instruction limit reached!
% 12.93/3.12  % (29915)------------------------------
% 12.93/3.12  % (29915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.93/3.12  % (29915)Termination reason: Unknown
% 12.93/3.12  % (29915)Termination phase: Saturation
% 12.93/3.12  
% 12.93/3.12  % (29915)Memory used [KB]: 6396
% 12.93/3.12  % (29915)Time elapsed: 0.606 s
% 12.93/3.12  % (29915)Instructions burned: 1915 (million)
% 12.93/3.12  % (29915)------------------------------
% 12.93/3.12  % (29915)------------------------------
% 13.50/3.12  % (29930)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_29531 for (2984ds/187Mi)
% 13.50/3.13  % (29931)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_29531 for (2984ds/371Mi)
% 13.50/3.17  % (29930)Instruction limit reached!
% 13.50/3.17  % (29930)------------------------------
% 13.50/3.17  % (29930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.50/3.17  % (29930)Termination reason: Unknown
% 13.50/3.17  % (29930)Termination phase: Saturation
% 13.50/3.17  
% 13.50/3.17  % (29930)Memory used [KB]: 7419
% 13.50/3.17  % (29930)Time elapsed: 0.048 s
% 13.50/3.17  % (29930)Instructions burned: 187 (million)
% 13.50/3.17  % (29930)------------------------------
% 13.50/3.17  % (29930)------------------------------
% 13.50/3.18  % (29929)Instruction limit reached!
% 13.50/3.18  % (29929)------------------------------
% 13.50/3.18  % (29929)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.50/3.18  % (29929)Termination reason: Unknown
% 13.50/3.18  % (29929)Termination phase: Saturation
% 13.50/3.18  
% 13.50/3.18  % (29929)Memory used [KB]: 7547
% 13.50/3.18  % (29929)Time elapsed: 0.074 s
% 13.50/3.18  % (29929)Instructions burned: 296 (million)
% 13.50/3.18  % (29929)------------------------------
% 13.50/3.18  % (29929)------------------------------
% 13.50/3.18  % (29932)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_29531 for (2984ds/1827Mi)
% 13.50/3.19  % (29927)Instruction limit reached!
% 13.50/3.19  % (29927)------------------------------
% 13.50/3.19  % (29927)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.50/3.19  % (29927)Termination reason: Unknown
% 13.50/3.19  % (29927)Termination phase: Saturation
% 13.50/3.19  
% 13.50/3.19  % (29927)Memory used [KB]: 15223
% 13.50/3.19  % (29927)Time elapsed: 0.171 s
% 13.50/3.19  % (29927)Instructions burned: 670 (million)
% 13.50/3.19  % (29927)------------------------------
% 13.50/3.19  % (29927)------------------------------
% 13.50/3.19  % (29933)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_29531 for (2984ds/70Mi)
% 13.50/3.20  % (29934)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_29531 for (2984ds/316Mi)
% 14.06/3.21  % (29933)Instruction limit reached!
% 14.06/3.21  % (29933)------------------------------
% 14.06/3.21  % (29933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.06/3.21  % (29933)Termination reason: Unknown
% 14.06/3.21  % (29933)Termination phase: Property scanning
% 14.06/3.21  
% 14.06/3.21  % (29933)Memory used [KB]: 2558
% 14.06/3.21  % (29933)Time elapsed: 0.020 s
% 14.06/3.21  % (29933)Instructions burned: 70 (million)
% 14.06/3.21  % (29933)------------------------------
% 14.06/3.21  % (29933)------------------------------
% 14.06/3.22  % (29935)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_29531 for (2983ds/932Mi)
% 14.06/3.22  % (29931)Instruction limit reached!
% 14.06/3.22  % (29931)------------------------------
% 14.06/3.22  % (29931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.06/3.22  % (29931)Termination reason: Unknown
% 14.06/3.22  % (29931)Termination phase: Saturation
% 14.06/3.22  
% 14.06/3.22  % (29931)Memory used [KB]: 9210
% 14.06/3.22  % (29931)Time elapsed: 0.098 s
% 14.06/3.22  % (29931)Instructions burned: 373 (million)
% 14.06/3.22  % (29931)------------------------------
% 14.06/3.22  % (29931)------------------------------
% 14.06/3.23  % (29936)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_29531 for (2983ds/4714Mi)
% 14.06/3.27  % (29934)Instruction limit reached!
% 14.06/3.27  % (29934)------------------------------
% 14.06/3.27  % (29934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.06/3.27  % (29934)Termination reason: Unknown
% 14.06/3.27  % (29934)Termination phase: Saturation
% 14.06/3.27  
% 14.06/3.27  % (29934)Memory used [KB]: 7547
% 14.06/3.27  % (29934)Time elapsed: 0.080 s
% 14.06/3.27  % (29934)Instructions burned: 316 (million)
% 14.06/3.27  % (29934)------------------------------
% 14.06/3.27  % (29934)------------------------------
% 14.06/3.28  % (29937)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_29531 for (2983ds/8250Mi)
% 14.88/3.45  % (29935)Instruction limit reached!
% 14.88/3.45  % (29935)------------------------------
% 14.88/3.45  % (29935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.88/3.45  % (29935)Termination reason: Unknown
% 14.88/3.45  % (29935)Termination phase: Saturation
% 14.88/3.45  
% 14.88/3.45  % (29935)Memory used [KB]: 16886
% 14.88/3.45  % (29935)Time elapsed: 0.232 s
% 14.88/3.45  % (29935)Instructions burned: 932 (million)
% 14.88/3.45  % (29935)------------------------------
% 14.88/3.45  % (29935)------------------------------
% 14.88/3.46  % (29938)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_29531 for (2981ds/770Mi)
% 15.73/3.67  % (29938)Instruction limit reached!
% 15.73/3.67  % (29938)------------------------------
% 15.73/3.67  % (29938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.73/3.67  % (29938)Termination reason: Unknown
% 15.73/3.67  % (29938)Termination phase: Saturation
% 15.73/3.67  
% 15.73/3.67  % (29938)Memory used [KB]: 7803
% 15.73/3.67  % (29938)Time elapsed: 0.237 s
% 15.73/3.67  % (29938)Instructions burned: 771 (million)
% 15.73/3.67  % (29938)------------------------------
% 15.73/3.67  % (29938)------------------------------
% 15.73/3.68  % (29939)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_29531 for (2979ds/794Mi)
% 15.73/3.70  % (29932)Instruction limit reached!
% 15.73/3.70  % (29932)------------------------------
% 15.73/3.70  % (29932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.73/3.70  % (29932)Termination reason: Unknown
% 15.73/3.70  % (29932)Termination phase: Saturation
% 15.73/3.70  
% 15.73/3.70  % (29932)Memory used [KB]: 21364
% 15.73/3.70  % (29932)Time elapsed: 0.516 s
% 15.73/3.70  % (29932)Instructions burned: 1828 (million)
% 15.73/3.70  % (29932)------------------------------
% 15.73/3.70  % (29932)------------------------------
% 16.25/3.71  % (29940)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_29531 for (2978ds/464Mi)
% 16.25/3.79  % (29914)Instruction limit reached!
% 16.25/3.79  % (29914)------------------------------
% 16.25/3.79  % (29914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.25/3.79  % (29914)Termination reason: Unknown
% 16.25/3.79  % (29914)Termination phase: Saturation
% 16.25/3.79  
% 16.25/3.79  % (29914)Memory used [KB]: 17654
% 16.25/3.79  % (29914)Time elapsed: 1.328 s
% 16.25/3.79  % (29914)Instructions burned: 5207 (million)
% 16.25/3.79  % (29914)------------------------------
% 16.25/3.79  % (29914)------------------------------
% 17.08/3.80  % (29941)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_29531 for (2977ds/1376Mi)
% 17.08/3.83  % (29940)Instruction limit reached!
% 17.08/3.83  % (29940)------------------------------
% 17.08/3.83  % (29940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.08/3.83  % (29940)Termination reason: Unknown
% 17.08/3.83  % (29940)Termination phase: Saturation
% 17.08/3.83  
% 17.08/3.83  % (29940)Memory used [KB]: 9594
% 17.08/3.83  % (29940)Time elapsed: 0.128 s
% 17.08/3.83  % (29940)Instructions burned: 465 (million)
% 17.08/3.83  % (29940)------------------------------
% 17.08/3.83  % (29940)------------------------------
% 17.08/3.84  % (29942)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_29531 for (2977ds/906Mi)
% 17.08/3.85  % (29911)Instruction limit reached!
% 17.08/3.85  % (29911)------------------------------
% 17.08/3.85  % (29911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.08/3.85  % (29911)Termination reason: Unknown
% 17.08/3.85  % (29911)Termination phase: Saturation
% 17.08/3.85  
% 17.08/3.85  % (29911)Memory used [KB]: 15351
% 17.08/3.85  % (29911)Time elapsed: 1.406 s
% 17.08/3.85  % (29911)Instructions burned: 4436 (million)
% 17.08/3.85  % (29911)------------------------------
% 17.08/3.85  % (29911)------------------------------
% 17.08/3.86  % (29943)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_29531 for (2977ds/434Mi)
% 17.39/3.92  % (29939)Instruction limit reached!
% 17.39/3.92  % (29939)------------------------------
% 17.39/3.92  % (29939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.39/3.92  % (29939)Termination reason: Unknown
% 17.39/3.92  % (29939)Termination phase: Saturation
% 17.39/3.92  
% 17.39/3.92  % (29939)Memory used [KB]: 6268
% 17.39/3.92  % (29939)Time elapsed: 0.235 s
% 17.39/3.92  % (29939)Instructions burned: 794 (million)
% 17.39/3.92  % (29939)------------------------------
% 17.39/3.92  % (29939)------------------------------
% 17.39/3.93  % (29944)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_29531 for (2976ds/865Mi)
% 17.39/3.94  % (29916)Instruction limit reached!
% 17.39/3.94  % (29916)------------------------------
% 17.39/3.94  % (29916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.39/3.94  % (29916)Termination reason: Unknown
% 17.39/3.94  % (29916)Termination phase: Saturation
% 17.39/3.94  
% 17.39/3.94  % (29916)Memory used [KB]: 13688
% 17.39/3.94  % (29916)Time elapsed: 1.359 s
% 17.39/3.94  % (29916)Instructions burned: 4352 (million)
% 17.39/3.94  % (29916)------------------------------
% 17.39/3.94  % (29916)------------------------------
% 17.39/3.95  % (29945)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_29531 for (2976ds/593Mi)
% 17.39/3.99  % (29943)Instruction limit reached!
% 17.39/3.99  % (29943)------------------------------
% 17.39/3.99  % (29943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.39/3.99  % (29943)Termination reason: Unknown
% 17.39/3.99  % (29943)Termination phase: Saturation
% 17.39/3.99  
% 17.39/3.99  % (29943)Memory used [KB]: 11513
% 17.39/3.99  % (29943)Time elapsed: 0.128 s
% 17.39/3.99  % (29943)Instructions burned: 437 (million)
% 17.39/3.99  % (29943)------------------------------
% 17.39/3.99  % (29943)------------------------------
% 17.39/4.00  % (29946)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_29531 for (2975ds/443Mi)
% 19.96/4.10  % (29945)Instruction limit reached!
% 19.96/4.10  % (29945)------------------------------
% 19.96/4.10  % (29945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.96/4.10  % (29945)Termination reason: Unknown
% 19.96/4.10  % (29945)Termination phase: Saturation
% 19.96/4.10  
% 19.96/4.10  % (29945)Memory used [KB]: 7675
% 19.96/4.10  % (29945)Time elapsed: 0.149 s
% 19.96/4.10  % (29945)Instructions burned: 594 (million)
% 19.96/4.10  % (29945)------------------------------
% 19.96/4.10  % (29945)------------------------------
% 19.96/4.11  % (29947)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_29531 for (2974ds/594Mi)
% 19.96/4.11  % (29946)Instruction limit reached!
% 19.96/4.11  % (29946)------------------------------
% 19.96/4.11  % (29946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.96/4.11  % (29946)Termination reason: Unknown
% 19.96/4.11  % (29946)Termination phase: Saturation
% 19.96/4.11  
% 19.96/4.11  % (29946)Memory used [KB]: 9594
% 19.96/4.11  % (29946)Time elapsed: 0.116 s
% 19.96/4.11  % (29946)Instructions burned: 444 (million)
% 19.96/4.11  % (29946)------------------------------
% 19.96/4.11  % (29946)------------------------------
% 19.96/4.11  % (29942)Instruction limit reached!
% 19.96/4.11  % (29942)------------------------------
% 19.96/4.11  % (29942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.96/4.11  % (29942)Termination reason: Unknown
% 19.96/4.11  % (29942)Termination phase: Saturation
% 19.96/4.11  
% 19.96/4.11  % (29942)Memory used [KB]: 11513
% 19.96/4.11  % (29942)Time elapsed: 0.271 s
% 19.96/4.11  % (29942)Instructions burned: 908 (million)
% 19.96/4.11  % (29942)------------------------------
% 19.96/4.11  % (29942)------------------------------
% 19.96/4.12  % (29948)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_29531 for (2974ds/327Mi)
% 19.96/4.12  % (29949)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_29531 for (2974ds/5411Mi)
% 20.64/4.15  % (29941)Instruction limit reached!
% 20.64/4.15  % (29941)------------------------------
% 20.64/4.15  % (29941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.64/4.15  % (29941)Termination reason: Unknown
% 20.64/4.15  % (29941)Termination phase: Saturation
% 20.64/4.15  
% 20.64/4.15  % (29941)Memory used [KB]: 9850
% 20.64/4.15  % (29941)Time elapsed: 0.347 s
% 20.64/4.15  % (29941)Instructions burned: 1377 (million)
% 20.64/4.15  % (29941)------------------------------
% 20.64/4.15  % (29941)------------------------------
% 20.64/4.16  % (29950)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_29531 for (2974ds/1762Mi)
% 20.64/4.18  % (29944)Instruction limit reached!
% 20.64/4.18  % (29944)------------------------------
% 20.64/4.18  % (29944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.64/4.18  % (29944)Termination reason: Unknown
% 20.64/4.18  % (29944)Termination phase: Saturation
% 20.64/4.18  
% 20.64/4.18  % (29944)Memory used [KB]: 10618
% 20.64/4.18  % (29944)Time elapsed: 0.253 s
% 20.64/4.18  % (29944)Instructions burned: 867 (million)
% 20.64/4.18  % (29944)------------------------------
% 20.64/4.18  % (29944)------------------------------
% 20.64/4.19  % (29951)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_29531 for (2974ds/96Mi)
% 20.89/4.21  % (29951)Instruction limit reached!
% 20.89/4.21  % (29951)------------------------------
% 20.89/4.21  % (29951)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.89/4.21  % (29951)Termination reason: Unknown
% 20.89/4.21  % (29951)Termination phase: Property scanning
% 20.89/4.21  
% 20.89/4.21  % (29951)Memory used [KB]: 2686
% 20.89/4.21  % (29951)Time elapsed: 0.026 s
% 20.89/4.21  % (29951)Instructions burned: 97 (million)
% 20.89/4.21  % (29951)------------------------------
% 20.89/4.21  % (29951)------------------------------
% 20.89/4.21  % (29948)Instruction limit reached!
% 20.89/4.21  % (29948)------------------------------
% 20.89/4.21  % (29948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.89/4.21  % (29948)Termination reason: Unknown
% 20.89/4.21  % (29948)Termination phase: Saturation
% 20.89/4.21  
% 20.89/4.21  % (29948)Memory used [KB]: 11129
% 20.89/4.21  % (29948)Time elapsed: 0.094 s
% 20.89/4.21  % (29948)Instructions burned: 328 (million)
% 20.89/4.21  % (29948)------------------------------
% 20.89/4.21  % (29948)------------------------------
% 20.89/4.22  % (29952)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_29531 for (2973ds/503Mi)
% 20.89/4.23  % (29953)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_29531 for (2973ds/90Mi)
% 20.89/4.25  % (29953)Instruction limit reached!
% 20.89/4.25  % (29953)------------------------------
% 20.89/4.25  % (29953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.89/4.25  % (29953)Termination reason: Unknown
% 20.89/4.25  % (29953)Termination phase: Property scanning
% 20.89/4.25  
% 20.89/4.25  % (29953)Memory used [KB]: 2558
% 20.89/4.25  % (29953)Time elapsed: 0.026 s
% 20.89/4.25  % (29953)Instructions burned: 91 (million)
% 20.89/4.25  % (29953)------------------------------
% 20.89/4.25  % (29953)------------------------------
% 20.89/4.26  % (29954)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_29531 for (2973ds/593Mi)
% 20.89/4.28  % (29947)Instruction limit reached!
% 20.89/4.28  % (29947)------------------------------
% 20.89/4.28  % (29947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.89/4.28  % (29947)Termination reason: Unknown
% 20.89/4.28  % (29947)Termination phase: Saturation
% 20.89/4.28  
% 20.89/4.28  % (29947)Memory used [KB]: 9978
% 20.89/4.28  % (29947)Time elapsed: 0.167 s
% 20.89/4.28  % (29947)Instructions burned: 595 (million)
% 20.89/4.28  % (29947)------------------------------
% 20.89/4.28  % (29947)------------------------------
% 20.89/4.29  % (29955)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_29531 for (2973ds/1512Mi)
% 21.44/4.36  % (29952)Instruction limit reached!
% 21.44/4.36  % (29952)------------------------------
% 21.44/4.36  % (29952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.44/4.36  % (29952)Termination reason: Unknown
% 21.44/4.36  % (29952)Termination phase: Saturation
% 21.44/4.36  
% 21.44/4.36  % (29952)Memory used [KB]: 9850
% 21.44/4.36  % (29952)Time elapsed: 0.137 s
% 21.44/4.36  % (29952)Instructions burned: 503 (million)
% 21.44/4.36  % (29952)------------------------------
% 21.44/4.36  % (29952)------------------------------
% 21.44/4.37  % (29956)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_29531 for (2972ds/569Mi)
% 21.79/4.42  % (29936)Instruction limit reached!
% 21.79/4.42  % (29936)------------------------------
% 21.79/4.42  % (29936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.79/4.42  % (29936)Termination reason: Unknown
% 21.79/4.42  % (29936)Termination phase: Saturation
% 21.79/4.42  
% 21.79/4.42  % (29936)Memory used [KB]: 7803
% 21.79/4.42  % (29936)Time elapsed: 1.188 s
% 21.79/4.42  % (29936)Instructions burned: 4717 (million)
% 21.79/4.42  % (29936)------------------------------
% 21.79/4.42  % (29936)------------------------------
% 21.79/4.43  % (29954)Instruction limit reached!
% 21.79/4.43  % (29954)------------------------------
% 21.79/4.43  % (29954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.79/4.43  % (29954)Termination reason: Unknown
% 21.79/4.43  % (29954)Termination phase: Saturation
% 21.79/4.43  
% 21.79/4.43  % (29954)Memory used [KB]: 10234
% 21.79/4.43  % (29954)Time elapsed: 0.168 s
% 21.79/4.43  % (29954)Instructions burned: 593 (million)
% 21.79/4.43  % (29954)------------------------------
% 21.79/4.43  % (29954)------------------------------
% 21.79/4.43  % (29957)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_29531 for (2971ds/501Mi)
% 21.79/4.43  % (29955)Refutation not found, incomplete strategy
% 21.79/4.43  % (29955)------------------------------
% 21.79/4.43  % (29955)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.79/4.43  % (29955)Termination reason: Refutation not found, incomplete strategy
% 21.79/4.43  
% 21.79/4.43  
% 21.79/4.43  % (29955)Memory used [KB]: 11385
% 21.79/4.43  % (29955)Time elapsed: 0.149 s
% 21.79/4.43  % (29955)Instructions burned: 492 (million)
% 21.79/4.43  % (29955)------------------------------
% 21.79/4.43  % (29955)------------------------------
% 21.79/4.44  % (29958)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_29531 for (2971ds/562Mi)
% 21.79/4.45  % (29959)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_29531 for (2971ds/406Mi)
% 22.26/4.51  % (29956)Instruction limit reached!
% 22.26/4.51  % (29956)------------------------------
% 22.26/4.51  % (29956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.26/4.51  % (29956)Termination reason: Unknown
% 22.26/4.51  % (29956)Termination phase: Saturation
% 22.26/4.51  
% 22.26/4.51  % (29956)Memory used [KB]: 7675
% 22.26/4.51  % (29956)Time elapsed: 0.145 s
% 22.26/4.51  % (29956)Instructions burned: 571 (million)
% 22.26/4.51  % (29956)------------------------------
% 22.26/4.51  % (29956)------------------------------
% 22.26/4.52  % (29960)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_29531 for (2970ds/582Mi)
% 22.26/4.55  % (29959)Instruction limit reached!
% 22.26/4.55  % (29959)------------------------------
% 22.26/4.55  % (29959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.26/4.55  % (29959)Termination reason: Unknown
% 22.26/4.55  % (29959)Termination phase: Saturation
% 22.26/4.55  
% 22.26/4.55  % (29959)Memory used [KB]: 7803
% 22.26/4.55  % (29959)Time elapsed: 0.107 s
% 22.26/4.55  % (29959)Instructions burned: 409 (million)
% 22.26/4.55  % (29959)------------------------------
% 22.26/4.55  % (29959)------------------------------
% 22.26/4.56  % (29961)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_29531 for (2970ds/456Mi)
% 22.26/4.58  % (29957)Instruction limit reached!
% 22.26/4.58  % (29957)------------------------------
% 22.26/4.58  % (29957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.26/4.58  % (29957)Termination reason: Unknown
% 22.26/4.58  % (29957)Termination phase: Saturation
% 22.26/4.58  
% 22.26/4.58  % (29957)Memory used [KB]: 10874
% 22.26/4.58  % (29957)Time elapsed: 0.148 s
% 22.26/4.58  % (29957)Instructions burned: 502 (million)
% 22.26/4.58  % (29957)------------------------------
% 22.26/4.58  % (29957)------------------------------
% 22.26/4.59  % (29950)Instruction limit reached!
% 22.26/4.59  % (29950)------------------------------
% 22.26/4.59  % (29950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.26/4.59  % (29950)Termination reason: Unknown
% 22.26/4.59  % (29950)Termination phase: Saturation
% 22.26/4.59  
% 22.26/4.59  % (29950)Memory used [KB]: 21364
% 22.26/4.59  % (29950)Time elapsed: 0.429 s
% 22.26/4.59  % (29950)Instructions burned: 1764 (million)
% 22.26/4.59  % (29950)------------------------------
% 22.26/4.59  % (29950)------------------------------
% 22.26/4.59  % (29962)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_29531 for (2970ds/393Mi)
% 22.26/4.59  % (29958)Instruction limit reached!
% 22.26/4.59  % (29958)------------------------------
% 22.26/4.59  % (29958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.26/4.59  % (29958)Termination reason: Unknown
% 22.26/4.59  % (29958)Termination phase: Saturation
% 22.26/4.59  
% 22.26/4.59  % (29958)Memory used [KB]: 9338
% 22.26/4.60  % (29958)Time elapsed: 0.160 s
% 22.26/4.60  % (29958)Instructions burned: 565 (million)
% 22.26/4.60  % (29958)------------------------------
% 22.26/4.60  % (29958)------------------------------
% 22.26/4.60  % (29963)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_29531 for (2970ds/1335Mi)
% 23.40/4.61  % (29964)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_29531 for (2969ds/3373Mi)
% 23.40/4.69  % (29961)Instruction limit reached!
% 23.40/4.69  % (29961)------------------------------
% 23.40/4.69  % (29961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.40/4.69  % (29961)Termination reason: Unknown
% 23.40/4.69  % (29961)Termination phase: Saturation
% 23.40/4.69  
% 23.40/4.69  % (29961)Memory used [KB]: 9722
% 23.40/4.69  % (29961)Time elapsed: 0.126 s
% 23.40/4.69  % (29961)Instructions burned: 458 (million)
% 23.40/4.69  % (29961)------------------------------
% 23.40/4.69  % (29961)------------------------------
% 23.40/4.70  % (29962)Instruction limit reached!
% 23.40/4.70  % (29962)------------------------------
% 23.40/4.70  % (29962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.40/4.70  % (29962)Termination reason: Unknown
% 23.40/4.70  % (29962)Termination phase: Saturation
% 23.40/4.70  
% 23.40/4.70  % (29962)Memory used [KB]: 9978
% 23.40/4.70  % (29962)Time elapsed: 0.110 s
% 23.40/4.70  % (29962)Instructions burned: 394 (million)
% 23.40/4.70  % (29962)------------------------------
% 23.40/4.70  % (29962)------------------------------
% 23.40/4.70  % (29965)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_29531 for (2969ds/474Mi)
% 23.76/4.70  % (29960)Instruction limit reached!
% 23.76/4.70  % (29960)------------------------------
% 23.76/4.70  % (29960)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.76/4.70  % (29960)Termination reason: Unknown
% 23.76/4.70  % (29960)Termination phase: Saturation
% 23.76/4.70  
% 23.76/4.70  % (29960)Memory used [KB]: 11001
% 23.76/4.70  % (29960)Time elapsed: 0.178 s
% 23.76/4.70  % (29960)Instructions burned: 583 (million)
% 23.76/4.70  % (29960)------------------------------
% 23.76/4.70  % (29960)------------------------------
% 23.76/4.71  % (29966)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_29531 for (2968ds/157Mi)
% 23.76/4.71  % (29967)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_29531 for (2968ds/590Mi)
% 23.76/4.74  % (29966)Instruction limit reached!
% 23.76/4.74  % (29966)------------------------------
% 23.76/4.74  % (29966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.76/4.74  % (29966)Termination reason: Unknown
% 23.76/4.74  % (29966)Termination phase: Function definition elimination
% 23.76/4.74  
% 23.76/4.74  % (29966)Memory used [KB]: 2814
% 23.76/4.74  % (29966)Time elapsed: 0.040 s
% 23.76/4.74  % (29966)Instructions burned: 157 (million)
% 23.76/4.74  % (29966)------------------------------
% 23.76/4.74  % (29966)------------------------------
% 23.76/4.75  % (29968)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_29531 for (2968ds/104Mi)
% 23.76/4.78  % (29968)Instruction limit reached!
% 23.76/4.78  % (29968)------------------------------
% 23.76/4.78  % (29968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.76/4.78  % (29968)Termination reason: Unknown
% 23.76/4.78  % (29968)Termination phase: Property scanning
% 23.76/4.78  
% 23.76/4.78  % (29968)Memory used [KB]: 2814
% 23.76/4.78  % (29968)Time elapsed: 0.029 s
% 23.76/4.78  % (29968)Instructions burned: 108 (million)
% 23.76/4.78  % (29968)------------------------------
% 23.76/4.78  % (29968)------------------------------
% 23.76/4.79  % (29969)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_29531 for (2968ds/414Mi)
% 24.12/4.81  % (29965)Instruction limit reached!
% 24.12/4.81  % (29965)------------------------------
% 24.12/4.81  % (29965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.12/4.81  % (29965)Termination reason: Unknown
% 24.12/4.81  % (29965)Termination phase: Saturation
% 24.12/4.81  
% 24.12/4.81  % (29965)Memory used [KB]: 7675
% 24.12/4.81  % (29965)Time elapsed: 0.118 s
% 24.12/4.81  % (29965)Instructions burned: 476 (million)
% 24.12/4.81  % (29965)------------------------------
% 24.12/4.81  % (29965)------------------------------
% 24.12/4.82  % (29970)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_29531 for (2967ds/715Mi)
% 24.12/4.87  % (29967)Instruction limit reached!
% 24.12/4.87  % (29967)------------------------------
% 24.12/4.87  % (29967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.12/4.87  % (29967)Termination reason: Unknown
% 24.12/4.87  % (29967)Termination phase: Saturation
% 24.12/4.87  
% 24.12/4.87  % (29967)Memory used [KB]: 9466
% 24.12/4.87  % (29967)Time elapsed: 0.167 s
% 24.12/4.87  % (29967)Instructions burned: 592 (million)
% 24.12/4.87  % (29967)------------------------------
% 24.12/4.87  % (29967)------------------------------
% 24.12/4.88  % (29971)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_29531 for (2967ds/961Mi)
% 24.12/4.89  % (29969)Instruction limit reached!
% 24.12/4.89  % (29969)------------------------------
% 24.12/4.89  % (29969)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.12/4.89  % (29969)Termination reason: Unknown
% 24.12/4.89  % (29969)Termination phase: Saturation
% 24.12/4.89  
% 24.12/4.89  % (29969)Memory used [KB]: 7675
% 24.12/4.89  % (29969)Time elapsed: 0.103 s
% 24.12/4.89  % (29969)Instructions burned: 415 (million)
% 24.12/4.89  % (29969)------------------------------
% 24.12/4.89  % (29969)------------------------------
% 24.64/4.90  % (29972)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_29531 for (2967ds/1213Mi)
% 24.64/4.99  % (29963)Instruction limit reached!
% 24.64/4.99  % (29963)------------------------------
% 24.64/4.99  % (29963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.64/4.99  % (29963)Termination reason: Unknown
% 24.64/4.99  % (29963)Termination phase: Saturation
% 24.64/4.99  
% 24.64/4.99  % (29963)Memory used [KB]: 10618
% 24.64/4.99  % (29963)Time elapsed: 0.395 s
% 24.64/4.99  % (29963)Instructions burned: 1335 (million)
% 24.64/4.99  % (29963)------------------------------
% 24.64/4.99  % (29963)------------------------------
% 24.64/5.00  % (29973)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_29531 for (2966ds/1979Mi)
% 26.97/5.03  % (29970)Instruction limit reached!
% 26.97/5.03  % (29970)------------------------------
% 26.97/5.03  % (29970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.97/5.03  % (29970)Termination reason: Unknown
% 26.97/5.03  % (29970)Termination phase: Saturation
% 26.97/5.03  
% 26.97/5.03  % (29970)Memory used [KB]: 5756
% 26.97/5.03  % (29970)Time elapsed: 0.206 s
% 26.97/5.03  % (29970)Instructions burned: 715 (million)
% 26.97/5.03  % (29970)------------------------------
% 26.97/5.03  % (29970)------------------------------
% 26.97/5.04  % (29974)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_29531 for (2965ds/481Mi)
% 27.59/5.16  % (29974)Instruction limit reached!
% 27.59/5.16  % (29974)------------------------------
% 27.59/5.16  % (29974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.59/5.16  % (29974)Termination reason: Unknown
% 27.59/5.16  % (29974)Termination phase: Saturation
% 27.59/5.16  
% 27.59/5.16  % (29974)Memory used [KB]: 7675
% 27.59/5.16  % (29974)Time elapsed: 0.120 s
% 27.59/5.16  % (29974)Instructions burned: 482 (million)
% 27.59/5.16  % (29974)------------------------------
% 27.59/5.16  % (29974)------------------------------
% 27.59/5.16  % (29971)Instruction limit reached!
% 27.59/5.16  % (29971)------------------------------
% 27.59/5.16  % (29971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.59/5.16  % (29971)Termination reason: Unknown
% 27.59/5.16  % (29971)Termination phase: Saturation
% 27.59/5.16  
% 27.59/5.16  % (29971)Memory used [KB]: 10362
% 27.59/5.16  % (29971)Time elapsed: 0.281 s
% 27.59/5.16  % (29971)Instructions burned: 962 (million)
% 27.59/5.16  % (29971)------------------------------
% 27.59/5.16  % (29971)------------------------------
% 27.59/5.17  % (29975)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_29531 for (2964ds/783Mi)
% 27.59/5.17  % (29976)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_29531 for (2964ds/432Mi)
% 28.14/5.28  % (29972)Instruction limit reached!
% 28.14/5.28  % (29972)------------------------------
% 28.14/5.28  % (29972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.14/5.28  % (29972)Termination reason: Unknown
% 28.14/5.28  % (29972)Termination phase: Saturation
% 28.14/5.28  
% 28.14/5.28  % (29972)Memory used [KB]: 15479
% 28.14/5.28  % (29972)Time elapsed: 0.376 s
% 28.14/5.28  % (29972)Instructions burned: 1214 (million)
% 28.14/5.28  % (29972)------------------------------
% 28.14/5.28  % (29972)------------------------------
% 28.14/5.29  % (29977)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_29531 for (2963ds/1670Mi)
% 28.14/5.29  % (29976)Instruction limit reached!
% 28.14/5.29  % (29976)------------------------------
% 28.14/5.29  % (29976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.14/5.29  % (29976)Termination reason: Unknown
% 28.14/5.29  % (29976)Termination phase: Saturation
% 28.14/5.29  
% 28.14/5.29  % (29976)Memory used [KB]: 9722
% 28.14/5.29  % (29976)Time elapsed: 0.117 s
% 28.14/5.29  % (29976)Instructions burned: 432 (million)
% 28.14/5.29  % (29976)------------------------------
% 28.14/5.29  % (29976)------------------------------
% 28.76/5.30  % (29978)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_29531 for (2962ds/90Mi)
% 28.76/5.32  % (29978)Instruction limit reached!
% 28.76/5.32  % (29978)------------------------------
% 28.76/5.32  % (29978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.76/5.32  % (29978)Termination reason: Unknown
% 28.76/5.32  % (29978)Termination phase: Property scanning
% 28.76/5.32  
% 28.76/5.32  % (29978)Memory used [KB]: 2558
% 28.76/5.32  % (29978)Time elapsed: 0.026 s
% 28.76/5.32  % (29978)Instructions burned: 91 (million)
% 28.76/5.32  % (29978)------------------------------
% 28.76/5.32  % (29978)------------------------------
% 28.76/5.33  % (29979)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_29531 for (2962ds/346Mi)
% 29.19/5.41  % (29975)Instruction limit reached!
% 29.19/5.41  % (29975)------------------------------
% 29.19/5.41  % (29975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.19/5.41  % (29975)Termination reason: Unknown
% 29.19/5.41  % (29975)Termination phase: Saturation
% 29.19/5.41  
% 29.19/5.41  % (29975)Memory used [KB]: 12153
% 29.19/5.41  % (29975)Time elapsed: 0.241 s
% 29.19/5.41  % (29975)Instructions burned: 785 (million)
% 29.19/5.41  % (29975)------------------------------
% 29.19/5.41  % (29975)------------------------------
% 29.19/5.42  % (29980)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_29531 for (2961ds/401Mi)
% 29.19/5.42  % (29979)Instruction limit reached!
% 29.19/5.42  % (29979)------------------------------
% 29.19/5.42  % (29979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.19/5.42  % (29979)Termination reason: Unknown
% 29.19/5.42  % (29979)Termination phase: Saturation
% 29.19/5.42  
% 29.19/5.42  % (29979)Memory used [KB]: 7675
% 29.19/5.42  % (29979)Time elapsed: 0.086 s
% 29.19/5.42  % (29979)Instructions burned: 347 (million)
% 29.19/5.42  % (29979)------------------------------
% 29.19/5.42  % (29979)------------------------------
% 29.19/5.43  % (29981)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_29531 for (2961ds/6454Mi)
% 29.94/5.52  % (29980)Instruction limit reached!
% 29.94/5.52  % (29980)------------------------------
% 29.94/5.52  % (29980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.94/5.52  % (29980)Termination reason: Unknown
% 29.94/5.52  % (29980)Termination phase: Saturation
% 29.94/5.52  
% 29.94/5.52  % (29980)Memory used [KB]: 7675
% 29.94/5.52  % (29980)Time elapsed: 0.103 s
% 29.94/5.52  % (29980)Instructions burned: 403 (million)
% 29.94/5.52  % (29980)------------------------------
% 29.94/5.52  % (29980)------------------------------
% 29.94/5.53  % (29982)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_29531 for (2960ds/283Mi)
% 29.94/5.60  % (29973)Instruction limit reached!
% 29.94/5.60  % (29973)------------------------------
% 29.94/5.60  % (29973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.94/5.60  % (29973)Termination reason: Unknown
% 29.94/5.60  % (29973)Termination phase: Saturation
% 29.94/5.60  
% 29.94/5.60  % (29973)Memory used [KB]: 10746
% 29.94/5.60  % (29973)Time elapsed: 0.598 s
% 29.94/5.60  % (29973)Instructions burned: 1979 (million)
% 29.94/5.60  % (29973)------------------------------
% 29.94/5.60  % (29973)------------------------------
% 29.86/5.60  % (29982)Instruction limit reached!
% 29.86/5.60  % (29982)------------------------------
% 29.86/5.60  % (29982)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.86/5.60  % (29982)Termination reason: Unknown
% 29.86/5.60  % (29982)Termination phase: Saturation
% 29.86/5.60  
% 29.86/5.60  % (29982)Memory used [KB]: 8187
% 29.86/5.60  % (29982)Time elapsed: 0.074 s
% 29.86/5.60  % (29982)Instructions burned: 284 (million)
% 29.86/5.60  % (29982)------------------------------
% 29.86/5.60  % (29982)------------------------------
% 29.86/5.61  % (29983)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_29531 for (2959ds/865Mi)
% 29.86/5.61  % (29984)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_29531 for (2959ds/4528Mi)
% 29.86/5.63  % (29964)Instruction limit reached!
% 29.86/5.63  % (29964)------------------------------
% 29.86/5.63  % (29964)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.86/5.63  % (29964)Termination reason: Unknown
% 29.86/5.63  % (29964)Termination phase: Saturation
% 29.86/5.63  
% 29.86/5.63  % (29964)Memory used [KB]: 12665
% 29.86/5.63  % (29964)Time elapsed: 1.025 s
% 29.86/5.63  % (29964)Instructions burned: 3374 (million)
% 29.86/5.63  % (29964)------------------------------
% 29.86/5.63  % (29964)------------------------------
% 29.86/5.64  % (29985)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_29531 for (2959ds/1001Mi)
% 30.79/5.72  % (29977)Instruction limit reached!
% 30.79/5.72  % (29977)------------------------------
% 30.79/5.72  % (29977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.79/5.72  % (29977)Termination reason: Unknown
% 30.79/5.72  % (29977)Termination phase: Saturation
% 30.79/5.72  
% 30.79/5.72  % (29977)Memory used [KB]: 18166
% 30.79/5.72  % (29977)Time elapsed: 0.428 s
% 30.79/5.72  % (29977)Instructions burned: 1671 (million)
% 30.79/5.72  % (29977)------------------------------
% 30.79/5.72  % (29977)------------------------------
% 30.79/5.73  % (29986)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_29531 for (2958ds/102Mi)
% 30.79/5.75  % (29986)Instruction limit reached!
% 30.79/5.75  % (29986)------------------------------
% 30.79/5.75  % (29986)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.79/5.75  % (29986)Termination reason: Unknown
% 30.79/5.75  % (29986)Termination phase: Property scanning
% 30.79/5.75  
% 30.79/5.75  % (29986)Memory used [KB]: 2814
% 30.79/5.75  % (29986)Time elapsed: 0.029 s
% 30.79/5.75  % (29986)Instructions burned: 104 (million)
% 30.79/5.75  % (29986)------------------------------
% 30.79/5.75  % (29986)------------------------------
% 30.79/5.76  % (29987)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_29531 for (2958ds/952Mi)
% 30.79/5.79  % (29949)Instruction limit reached!
% 30.79/5.79  % (29949)------------------------------
% 30.79/5.79  % (29949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.79/5.79  % (29949)Termination reason: Unknown
% 30.79/5.79  % (29949)Termination phase: Saturation
% 30.79/5.79  
% 30.79/5.79  % (29949)Memory used [KB]: 17398
% 30.79/5.79  % (29949)Time elapsed: 1.668 s
% 30.79/5.79  % (29949)Instructions burned: 5412 (million)
% 30.79/5.79  % (29949)------------------------------
% 30.79/5.79  % (29949)------------------------------
% 31.47/5.80  % (29988)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_29531 for (2958ds/578Mi)
% 31.47/5.82  % (29984)Refutation not found, incomplete strategy
% 31.47/5.82  % (29984)------------------------------
% 31.47/5.82  % (29984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.47/5.82  % (29984)Termination reason: Refutation not found, incomplete strategy
% 31.47/5.82  
% 31.47/5.82  
% 31.47/5.82  % (29984)Memory used [KB]: 3198
% 31.47/5.82  % (29984)Time elapsed: 0.207 s
% 31.47/5.82  % (29984)Instructions burned: 799 (million)
% 31.47/5.82  % (29984)------------------------------
% 31.47/5.82  % (29984)------------------------------
% 31.47/5.83  % (29989)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_29531 for (2957ds/643Mi)
% 31.47/5.84  % (29983)Instruction limit reached!
% 31.47/5.84  % (29983)------------------------------
% 31.47/5.84  % (29983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.47/5.84  % (29983)Termination reason: Unknown
% 31.47/5.84  % (29983)Termination phase: Saturation
% 31.47/5.84  
% 31.47/5.84  % (29983)Memory used [KB]: 8443
% 31.47/5.84  % (29983)Time elapsed: 0.233 s
% 31.47/5.84  % (29983)Instructions burned: 867 (million)
% 31.47/5.84  % (29983)------------------------------
% 31.47/5.84  % (29983)------------------------------
% 31.47/5.85  % (29990)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_29531 for (2957ds/865Mi)
% 32.03/5.94  % (29985)Instruction limit reached!
% 32.03/5.94  % (29985)------------------------------
% 32.03/5.94  % (29985)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.03/5.94  % (29985)Termination reason: Unknown
% 32.03/5.94  % (29985)Termination phase: Saturation
% 32.03/5.94  
% 32.03/5.94  % (29985)Memory used [KB]: 11513
% 32.03/5.94  % (29985)Time elapsed: 0.302 s
% 32.03/5.94  % (29985)Instructions burned: 1002 (million)
% 32.03/5.94  % (29985)------------------------------
% 32.03/5.94  % (29985)------------------------------
% 32.03/5.94  % (29988)Instruction limit reached!
% 32.03/5.94  % (29988)------------------------------
% 32.03/5.94  % (29988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.03/5.94  % (29988)Termination reason: Unknown
% 32.03/5.94  % (29988)Termination phase: Saturation
% 32.03/5.94  
% 32.03/5.94  % (29988)Memory used [KB]: 11129
% 32.03/5.94  % (29988)Time elapsed: 0.142 s
% 32.03/5.94  % (29988)Instructions burned: 578 (million)
% 32.03/5.94  % (29988)------------------------------
% 32.03/5.94  % (29988)------------------------------
% 32.03/5.95  % (29937)Instruction limit reached!
% 32.03/5.95  % (29937)------------------------------
% 32.03/5.95  % (29937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.03/5.95  % (29937)Termination reason: Unknown
% 32.03/5.95  % (29937)Termination phase: Saturation
% 32.03/5.95  
% 32.03/5.95  % (29937)Memory used [KB]: 25585
% 32.03/5.95  % (29937)Time elapsed: 2.688 s
% 32.03/5.95  % (29937)Instructions burned: 8252 (million)
% 32.03/5.95  % (29937)------------------------------
% 32.03/5.95  % (29937)------------------------------
% 32.03/5.95  % (29991)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_29531 for (2956ds/1174Mi)
% 32.03/5.95  % (29992)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_29531 for (2956ds/644Mi)
% 32.03/5.96  % (29993)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_29531 for (2956ds/1201Mi)
% 32.03/5.99  % (29989)Instruction limit reached!
% 32.03/5.99  % (29989)------------------------------
% 32.03/5.99  % (29989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.03/5.99  % (29989)Termination reason: Unknown
% 32.03/5.99  % (29989)Termination phase: Saturation
% 32.03/5.99  
% 32.03/5.99  % (29989)Memory used [KB]: 7675
% 32.03/5.99  % (29989)Time elapsed: 0.164 s
% 32.03/5.99  % (29989)Instructions burned: 645 (million)
% 32.03/5.99  % (29989)------------------------------
% 32.03/5.99  % (29989)------------------------------
% 32.03/6.00  % (29994)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_29531 for (2956ds/1046Mi)
% 34.01/6.05  % (29987)Instruction limit reached!
% 34.01/6.05  % (29987)------------------------------
% 34.01/6.05  % (29987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.01/6.05  % (29987)Termination reason: Unknown
% 34.01/6.05  % (29987)Termination phase: Saturation
% 34.01/6.05  
% 34.01/6.05  % (29987)Memory used [KB]: 10874
% 34.01/6.05  % (29987)Time elapsed: 0.284 s
% 34.01/6.05  % (29987)Instructions burned: 952 (million)
% 34.01/6.05  % (29987)------------------------------
% 34.01/6.05  % (29987)------------------------------
% 34.01/6.06  % (29995)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_29531 for (2955ds/222Mi)
% 34.01/6.08  % (29990)Instruction limit reached!
% 34.01/6.08  % (29990)------------------------------
% 34.01/6.08  % (29990)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.01/6.08  % (29990)Termination reason: Unknown
% 34.01/6.08  % (29990)Termination phase: Saturation
% 34.01/6.08  
% 34.01/6.08  % (29990)Memory used [KB]: 8059
% 34.01/6.08  % (29990)Time elapsed: 0.237 s
% 34.01/6.08  % (29990)Instructions burned: 867 (million)
% 34.01/6.08  % (29990)------------------------------
% 34.01/6.08  % (29990)------------------------------
% 34.01/6.09  % (29996)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_29531 for (2955ds/68Mi)
% 34.01/6.11  % (29995)Instruction limit reached!
% 34.01/6.11  % (29995)------------------------------
% 34.01/6.11  % (29995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.01/6.11  % (29995)Termination reason: Unknown
% 34.01/6.11  % (29995)Termination phase: Saturation
% 34.01/6.11  
% 34.01/6.11  % (29995)Memory used [KB]: 7547
% 34.01/6.11  % (29995)Time elapsed: 0.056 s
% 34.01/6.11  % (29995)Instructions burned: 222 (million)
% 34.01/6.11  % (29995)------------------------------
% 34.01/6.11  % (29995)------------------------------
% 34.01/6.11  % (29996)Instruction limit reached!
% 34.01/6.11  % (29996)------------------------------
% 34.01/6.11  % (29996)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.01/6.11  % (29996)Termination reason: Unknown
% 34.01/6.11  % (29996)Termination phase: Property scanning
% 34.01/6.11  
% 34.01/6.11  % (29996)Memory used [KB]: 2558
% 34.01/6.11  % (29996)Time elapsed: 0.020 s
% 34.01/6.11  % (29996)Instructions burned: 71 (million)
% 34.01/6.11  % (29996)------------------------------
% 34.01/6.11  % (29996)------------------------------
% 34.01/6.12  % (29997)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_29531 for (2954ds/454Mi)
% 34.01/6.12  % (29998)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_29531 for (2954ds/360Mi)
% 34.71/6.14  % (29992)Instruction limit reached!
% 34.71/6.14  % (29992)------------------------------
% 34.71/6.14  % (29992)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.71/6.14  % (29992)Termination reason: Unknown
% 34.71/6.14  % (29992)Termination phase: Saturation
% 34.71/6.14  
% 34.71/6.14  % (29992)Memory used [KB]: 8443
% 34.71/6.14  % (29992)Time elapsed: 0.188 s
% 34.71/6.14  % (29992)Instructions burned: 644 (million)
% 34.71/6.14  % (29992)------------------------------
% 34.71/6.14  % (29992)------------------------------
% 34.71/6.15  % (29999)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_29531 for (2954ds/157Mi)
% 34.71/6.19  % (29999)Instruction limit reached!
% 34.71/6.19  % (29999)------------------------------
% 34.71/6.19  % (29999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.71/6.19  % (29999)Termination reason: Unknown
% 34.71/6.19  % (29999)Termination phase: Function definition elimination
% 34.71/6.19  
% 34.71/6.19  % (29999)Memory used [KB]: 2814
% 34.71/6.19  % (29999)Time elapsed: 0.040 s
% 34.71/6.19  % (29999)Instructions burned: 158 (million)
% 34.71/6.19  % (29999)------------------------------
% 34.71/6.19  % (29999)------------------------------
% 34.71/6.20  % (30000)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_29531 for (2954ds/5061Mi)
% 35.07/6.21  % (29998)Instruction limit reached!
% 35.07/6.21  % (29998)------------------------------
% 35.07/6.21  % (29998)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.07/6.21  % (29998)Termination reason: Unknown
% 35.07/6.21  % (29998)Termination phase: Saturation
% 35.07/6.21  
% 35.07/6.21  % (29998)Memory used [KB]: 7675
% 35.07/6.21  % (29998)Time elapsed: 0.091 s
% 35.07/6.21  % (29998)Instructions burned: 364 (million)
% 35.07/6.21  % (29998)------------------------------
% 35.07/6.21  % (29998)------------------------------
% 35.07/6.22  % (30001)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_29531 for (2953ds/2401Mi)
% 35.07/6.23  % (29997)Instruction limit reached!
% 35.07/6.23  % (29997)------------------------------
% 35.07/6.23  % (29997)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.07/6.23  % (29997)Termination reason: Unknown
% 35.07/6.23  % (29997)Termination phase: Saturation
% 35.07/6.23  
% 35.07/6.23  % (29997)Memory used [KB]: 12153
% 35.07/6.23  % (29997)Time elapsed: 0.114 s
% 35.07/6.23  % (29997)Instructions burned: 456 (million)
% 35.07/6.23  % (29997)------------------------------
% 35.07/6.23  % (29997)------------------------------
% 35.07/6.24  % (30002)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_29531 for (2953ds/5798Mi)
% 35.07/6.26  % (29994)Instruction limit reached!
% 35.07/6.26  % (29994)------------------------------
% 35.07/6.26  % (29994)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.07/6.26  % (29994)Termination reason: Unknown
% 35.07/6.26  % (29994)Termination phase: Saturation
% 35.07/6.26  
% 35.07/6.26  % (29994)Memory used [KB]: 7803
% 35.07/6.26  % (29994)Time elapsed: 0.260 s
% 35.07/6.26  % (29994)Instructions burned: 1047 (million)
% 35.07/6.26  % (29994)------------------------------
% 35.07/6.26  % (29994)------------------------------
% 35.07/6.27  % (29993)Instruction limit reached!
% 35.07/6.27  % (29993)------------------------------
% 35.07/6.27  % (29993)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.07/6.27  % (29993)Termination reason: Unknown
% 35.07/6.27  % (29993)Termination phase: Saturation
% 35.07/6.27  
% 35.07/6.27  % (29993)Memory used [KB]: 11001
% 35.07/6.27  % (29993)Time elapsed: 0.307 s
% 35.07/6.27  % (29993)Instructions burned: 1202 (million)
% 35.07/6.27  % (29993)------------------------------
% 35.07/6.27  % (29993)------------------------------
% 35.07/6.27  % (30003)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_29531 for (2953ds/346Mi)
% 35.07/6.27  % (29991)Refutation not found, non-redundant clauses discarded% (29991)------------------------------
% 35.07/6.27  % (29991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.07/6.27  % (29991)Termination reason: Refutation not found, non-redundant clauses discarded
% 35.07/6.27  
% 35.07/6.27  % (29991)Memory used [KB]: 10746
% 35.07/6.27  % (29991)Time elapsed: 0.319 s
% 35.07/6.27  % (29991)Instructions burned: 1084 (million)
% 35.07/6.27  % (29991)------------------------------
% 35.07/6.27  % (29991)------------------------------
% 35.07/6.28  % (30004)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_29531 for (2953ds/1321Mi)
% 35.07/6.28  % (30005)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_29531 for (2953ds/1312Mi)
% 35.63/6.35  % (30003)Instruction limit reached!
% 35.63/6.35  % (30003)------------------------------
% 35.63/6.35  % (30003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.63/6.35  % (30003)Termination reason: Unknown
% 35.63/6.35  % (30003)Termination phase: Saturation
% 35.63/6.35  
% 35.63/6.35  % (30003)Memory used [KB]: 7675
% 35.63/6.35  % (30003)Time elapsed: 0.086 s
% 35.63/6.35  % (30003)Instructions burned: 346 (million)
% 35.63/6.35  % (30003)------------------------------
% 35.63/6.35  % (30003)------------------------------
% 35.63/6.36  % (30006)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_29531 for (2952ds/672Mi)
% 35.92/6.56  % (30006)Instruction limit reached!
% 35.92/6.56  % (30006)------------------------------
% 35.92/6.56  % (30006)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.92/6.56  % (30006)Termination reason: Unknown
% 35.92/6.56  % (30006)Termination phase: Saturation
% 35.92/6.56  
% 35.92/6.56  % (30006)Memory used [KB]: 11385
% 35.92/6.56  % (30006)Time elapsed: 0.203 s
% 35.92/6.56  % (30006)Instructions burned: 672 (million)
% 35.92/6.56  % (30006)------------------------------
% 35.92/6.56  % (30006)------------------------------
% 35.92/6.57  % (30007)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_29531 for (2950ds/1897Mi)
% 36.24/6.61  % (30005)Instruction limit reached!
% 36.24/6.61  % (30005)------------------------------
% 36.24/6.61  % (30005)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.24/6.61  % (30005)Termination reason: Unknown
% 36.24/6.61  % (30005)Termination phase: Saturation
% 36.24/6.61  
% 36.24/6.61  % (30005)Memory used [KB]: 17270
% 36.24/6.61  % (30005)Time elapsed: 0.328 s
% 36.24/6.61  % (30005)Instructions burned: 1312 (million)
% 36.24/6.61  % (30005)------------------------------
% 36.24/6.61  % (30005)------------------------------
% 36.24/6.62  % (30008)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_29531 for (2949ds/1202Mi)
% 36.24/6.66  % (30004)Instruction limit reached!
% 36.24/6.66  % (30004)------------------------------
% 36.24/6.66  % (30004)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.24/6.66  % (30004)Termination reason: Unknown
% 36.24/6.66  % (30004)Termination phase: Saturation
% 36.24/6.66  
% 36.24/6.66  % (30004)Memory used [KB]: 10234
% 36.24/6.66  % (30004)Time elapsed: 0.388 s
% 36.24/6.66  % (30004)Instructions burned: 1321 (million)
% 36.24/6.66  % (30004)------------------------------
% 36.24/6.66  % (30004)------------------------------
% 36.24/6.67  % (30009)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_29531 for (2949ds/1493Mi)
% 37.28/6.94  % (30001)Instruction limit reached!
% 37.28/6.94  % (30001)------------------------------
% 37.28/6.94  % (30001)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.28/6.94  % (30001)Termination reason: Unknown
% 37.28/6.94  % (30001)Termination phase: Saturation
% 37.28/6.94  
% 37.28/6.94  % (30001)Memory used [KB]: 10362
% 37.28/6.94  % (30001)Time elapsed: 0.718 s
% 37.28/6.94  % (30001)Instructions burned: 2402 (million)
% 37.28/6.94  % (30001)------------------------------
% 37.28/6.94  % (30001)------------------------------
% 37.28/6.94  % (30008)Instruction limit reached!
% 37.28/6.94  % (30008)------------------------------
% 37.28/6.94  % (30008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.28/6.94  % (30008)Termination reason: Unknown
% 37.28/6.94  % (30008)Termination phase: Saturation
% 37.28/6.94  
% 37.28/6.94  % (30008)Memory used [KB]: 9594
% 37.28/6.94  % (30008)Time elapsed: 0.329 s
% 37.28/6.94  % (30008)Instructions burned: 1203 (million)
% 37.28/6.94  % (30008)------------------------------
% 37.28/6.94  % (30008)------------------------------
% 37.28/6.95  % (30010)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_29531 for (2946ds/7679Mi)
% 37.28/6.95  % (30011)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_29531 for (2946ds/340Mi)
% 41.02/7.04  % (30009)Instruction limit reached!
% 41.02/7.04  % (30009)------------------------------
% 41.02/7.04  % (30009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.02/7.04  % (30009)Termination reason: Unknown
% 41.02/7.04  % (30009)Termination phase: Saturation
% 41.02/7.04  
% 41.02/7.04  % (30009)Memory used [KB]: 8187
% 41.02/7.04  % (30009)Time elapsed: 0.367 s
% 41.02/7.04  % (30009)Instructions burned: 1496 (million)
% 41.02/7.04  % (30009)------------------------------
% 41.02/7.04  % (30009)------------------------------
% 41.02/7.05  % (30011)Instruction limit reached!
% 41.02/7.05  % (30011)------------------------------
% 41.02/7.05  % (30011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.02/7.05  % (30011)Termination reason: Unknown
% 41.02/7.05  % (30011)Termination phase: Saturation
% 41.02/7.05  
% 41.02/7.05  % (30011)Memory used [KB]: 11001
% 41.02/7.05  % (30011)Time elapsed: 0.096 s
% 41.02/7.05  % (30011)Instructions burned: 342 (million)
% 41.02/7.05  % (30011)------------------------------
% 41.02/7.05  % (30011)------------------------------
% 41.02/7.05  % (30012)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_29531 for (2945ds/3672Mi)
% 41.02/7.06  % (30013)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_29531 for (2945ds/1535Mi)
% 41.59/7.16  % (30007)Instruction limit reached!
% 41.59/7.16  % (30007)------------------------------
% 41.59/7.16  % (30007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.59/7.16  % (30007)Termination reason: Unknown
% 41.59/7.16  % (30007)Termination phase: Saturation
% 41.59/7.16  
% 41.59/7.16  % (30007)Memory used [KB]: 14839
% 41.59/7.16  % (30007)Time elapsed: 0.588 s
% 41.59/7.16  % (30007)Instructions burned: 1898 (million)
% 41.59/7.16  % (30007)------------------------------
% 41.59/7.16  % (30007)------------------------------
% 41.59/7.17  % (30014)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_29531 for (2944ds/4637Mi)
% 42.72/7.43  % (30013)Instruction limit reached!
% 42.72/7.43  % (30013)------------------------------
% 42.72/7.43  % (30013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.72/7.43  % (30013)Termination reason: Unknown
% 42.72/7.43  % (30013)Termination phase: Saturation
% 42.72/7.43  
% 42.72/7.43  % (30013)Memory used [KB]: 16119
% 42.72/7.43  % (30013)Time elapsed: 0.372 s
% 42.72/7.43  % (30013)Instructions burned: 1537 (million)
% 42.72/7.43  % (30013)------------------------------
% 42.72/7.43  % (30013)------------------------------
% 42.72/7.44  % (29981)Instruction limit reached!
% 42.72/7.44  % (29981)------------------------------
% 42.72/7.44  % (29981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.72/7.44  % (29981)Termination reason: Unknown
% 42.72/7.44  % (29981)Termination phase: Saturation
% 42.72/7.44  
% 42.72/7.44  % (29981)Memory used [KB]: 14200
% 42.72/7.44  % (29981)Time elapsed: 2.011 s
% 42.72/7.44  % (29981)Instructions burned: 6455 (million)
% 42.72/7.44  % (29981)------------------------------
% 42.72/7.44  % (29981)------------------------------
% 42.72/7.44  % (30015)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_29531 for (2941ds/3174Mi)
% 42.72/7.45  % (30000)Instruction limit reached!
% 42.72/7.45  % (30000)------------------------------
% 42.72/7.45  % (30000)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.72/7.45  % (30000)Termination reason: Unknown
% 42.72/7.45  % (30000)Termination phase: Saturation
% 42.72/7.45  
% 42.72/7.45  % (30000)Memory used [KB]: 8059
% 42.72/7.45  % (30000)Time elapsed: 1.253 s
% 42.72/7.45  % (30000)Instructions burned: 5062 (million)
% 42.72/7.45  % (30000)------------------------------
% 42.72/7.45  % (30000)------------------------------
% 42.72/7.45  % (30016)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_29531 for (2941ds/307Mi)
% 42.72/7.46  % (30017)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_29531 for (2941ds/3619Mi)
% 43.42/7.53  % (30016)Instruction limit reached!
% 43.42/7.53  % (30016)------------------------------
% 43.42/7.53  % (30016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.42/7.53  % (30016)Termination reason: Unknown
% 43.42/7.53  % (30016)Termination phase: Saturation
% 43.42/7.53  
% 43.42/7.53  % (30016)Memory used [KB]: 7547
% 43.42/7.53  % (30016)Time elapsed: 0.080 s
% 43.42/7.53  % (30016)Instructions burned: 310 (million)
% 43.42/7.53  % (30016)------------------------------
% 43.42/7.53  % (30016)------------------------------
% 43.42/7.54  % (30018)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_29531 for (2940ds/2325Mi)
% 43.42/7.59  % (30017)Refutation not found, incomplete strategy
% 43.42/7.59  % (30017)------------------------------
% 43.42/7.59  % (30017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.42/7.59  % (30017)Termination reason: Refutation not found, incomplete strategy
% 43.42/7.59  
% 43.42/7.59  
% 43.42/7.59  % (30017)Memory used [KB]: 10874
% 43.42/7.59  % (30017)Time elapsed: 0.129 s
% 43.42/7.59  % (30017)Instructions burned: 430 (million)
% 43.42/7.59  % (30017)------------------------------
% 43.42/7.59  % (30017)------------------------------
% 43.86/7.60  % (30019)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_29531 for (2939ds/2341Mi)
% 48.04/8.04  % (30002)Instruction limit reached!
% 48.04/8.04  % (30002)------------------------------
% 48.04/8.04  % (30002)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.04/8.04  % (30002)Termination reason: Unknown
% 48.04/8.04  % (30002)Termination phase: Saturation
% 48.04/8.04  
% 48.04/8.04  % (30002)Memory used [KB]: 13432
% 48.04/8.04  % (30002)Time elapsed: 1.794 s
% 48.04/8.04  % (30002)Instructions burned: 5798 (million)
% 48.04/8.04  % (30002)------------------------------
% 48.04/8.04  % (30002)------------------------------
% 48.04/8.05  % (30020)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_29531 for (2935ds/7257Mi)
% 48.67/8.14  % (30015)Refutation not found, non-redundant clauses discarded% (30015)------------------------------
% 48.67/8.14  % (30015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.67/8.14  % (30015)Termination reason: Refutation not found, non-redundant clauses discarded
% 48.67/8.14  
% 48.67/8.14  % (30015)Memory used [KB]: 17910
% 48.67/8.14  % (30015)Time elapsed: 0.696 s
% 48.67/8.14  % (30015)Instructions burned: 2323 (million)
% 48.67/8.14  % (30015)------------------------------
% 48.67/8.14  % (30015)------------------------------
% 48.67/8.15  % (30021)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on DTF2THF_29531 for (2934ds/3710Mi)
% 48.67/8.18  % (30012)Instruction limit reached!
% 48.67/8.18  % (30012)------------------------------
% 48.67/8.18  % (30012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.67/8.18  % (30012)Termination reason: Unknown
% 48.67/8.18  % (30012)Termination phase: Saturation
% 48.67/8.18  
% 48.67/8.18  % (30012)Memory used [KB]: 13176
% 48.67/8.18  % (30012)Time elapsed: 1.155 s
% 48.67/8.18  % (30012)Instructions burned: 3674 (million)
% 48.67/8.18  % (30012)------------------------------
% 48.67/8.18  % (30012)------------------------------
% 48.67/8.19  % (30022)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on DTF2THF_29531 for (2934ds/326Mi)
% 49.05/8.22  % (30018)Instruction limit reached!
% 49.05/8.22  % (30018)------------------------------
% 49.05/8.22  % (30018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.05/8.22  % (30018)Termination reason: Unknown
% 49.05/8.22  % (30018)Termination phase: Saturation
% 49.05/8.22  
% 49.05/8.22  % (30018)Memory used [KB]: 19701
% 49.05/8.22  % (30018)Time elapsed: 0.684 s
% 49.05/8.22  % (30018)Instructions burned: 2326 (million)
% 49.05/8.22  % (30018)------------------------------
% 49.05/8.22  % (30018)------------------------------
% 49.05/8.23  % (30023)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on DTF2THF_29531 for (2933ds/1100Mi)
% 49.05/8.28  % (30022)Instruction limit reached!
% 49.05/8.28  % (30022)------------------------------
% 49.05/8.28  % (30022)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.05/8.28  % (30022)Termination reason: Unknown
% 49.05/8.28  % (30022)Termination phase: Saturation
% 49.05/8.28  
% 49.05/8.28  % (30022)Memory used [KB]: 8571
% 49.05/8.28  % (30022)Time elapsed: 0.086 s
% 49.05/8.28  % (30022)Instructions burned: 328 (million)
% 49.05/8.28  % (30022)------------------------------
% 49.05/8.28  % (30022)------------------------------
% 49.05/8.29  % (30024)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_29531 for (2933ds/406Mi)
% 49.48/8.30  % (30019)Instruction limit reached!
% 49.48/8.30  % (30019)------------------------------
% 49.48/8.30  % (30019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.48/8.30  % (30019)Termination reason: Unknown
% 49.48/8.30  % (30019)Termination phase: Saturation
% 49.48/8.30  
% 49.48/8.30  % (30019)Memory used [KB]: 11385
% 49.48/8.30  % (30019)Time elapsed: 0.702 s
% 49.48/8.30  % (30019)Instructions burned: 2342 (million)
% 49.48/8.30  % (30019)------------------------------
% 49.48/8.30  % (30019)------------------------------
% 49.48/8.31  % (30025)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on DTF2THF_29531 for (2933ds/1871Mi)
% 49.48/8.39  % (30024)Instruction limit reached!
% 49.48/8.39  % (30024)------------------------------
% 49.48/8.39  % (30024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.48/8.39  % (30024)Termination reason: Unknown
% 49.48/8.39  % (30024)Termination phase: Saturation
% 49.48/8.39  
% 49.48/8.39  % (30024)Memory used [KB]: 7803
% 49.48/8.39  % (30024)Time elapsed: 0.107 s
% 49.48/8.39  % (30024)Instructions burned: 408 (million)
% 49.48/8.39  % (30024)------------------------------
% 49.48/8.39  % (30024)------------------------------
% 49.83/8.40  % (30026)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on DTF2THF_29531 for (2932ds/1194Mi)
% 50.03/8.57  % (30023)Instruction limit reached!
% 50.03/8.57  % (30023)------------------------------
% 50.03/8.57  % (30023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.03/8.57  % (30023)Termination reason: Unknown
% 50.03/8.57  % (30023)Termination phase: Saturation
% 50.03/8.57  
% 50.03/8.57  % (30023)Memory used [KB]: 15991
% 50.03/8.57  % (30023)Time elapsed: 0.342 s
% 50.03/8.57  % (30023)Instructions burned: 1100 (million)
% 50.03/8.57  % (30023)------------------------------
% 50.03/8.57  % (30023)------------------------------
% 50.03/8.58  % (30027)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_29531 for (2930ds/474Mi)
% 50.03/8.60  % (30014)Instruction limit reached!
% 50.03/8.60  % (30014)------------------------------
% 50.03/8.60  % (30014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.03/8.60  % (30014)Termination reason: Unknown
% 50.03/8.60  % (30014)Termination phase: Saturation
% 50.03/8.60  
% 50.03/8.60  % (30014)Memory used [KB]: 12025
% 50.03/8.60  % (30014)Time elapsed: 1.425 s
% 50.03/8.60  % (30014)Instructions burned: 4639 (million)
% 50.03/8.60  % (30014)------------------------------
% 50.03/8.60  % (30014)------------------------------
% 50.58/8.61  % (30028)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on DTF2THF_29531 for (2930ds/3115Mi)
% 50.68/8.70  % (30027)Instruction limit reached!
% 50.68/8.70  % (30027)------------------------------
% 50.68/8.70  % (30027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.68/8.70  % (30027)Termination reason: Unknown
% 50.68/8.70  % (30027)Termination phase: Saturation
% 50.68/8.70  
% 50.68/8.70  % (30027)Memory used [KB]: 7675
% 50.68/8.70  % (30027)Time elapsed: 0.119 s
% 50.68/8.70  % (30027)Instructions burned: 477 (million)
% 50.68/8.70  % (30027)------------------------------
% 50.68/8.70  % (30027)------------------------------
% 50.68/8.71  % (30029)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_29531 for (2929ds/831Mi)
% 50.68/8.77  % (30026)Instruction limit reached!
% 50.68/8.77  % (30026)------------------------------
% 50.68/8.77  % (30026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.68/8.77  % (30026)Termination reason: Unknown
% 50.68/8.77  % (30026)Termination phase: Saturation
% 50.68/8.77  
% 50.68/8.77  % (30026)Memory used [KB]: 12920
% 50.68/8.77  % (30026)Time elapsed: 0.395 s
% 50.68/8.77  % (30026)Instructions burned: 1196 (million)
% 50.68/8.77  % (30026)------------------------------
% 50.68/8.77  % (30026)------------------------------
% 50.68/8.79  % (30030)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_29531 for (2928ds/1188Mi)
% 51.31/8.88  % (30025)Instruction limit reached!
% 51.31/8.88  % (30025)------------------------------
% 51.31/8.88  % (30025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.31/8.88  % (30025)Termination reason: Unknown
% 51.31/8.88  % (30025)Termination phase: Saturation
% 51.31/8.88  
% 51.31/8.88  % (30025)Memory used [KB]: 20596
% 51.31/8.88  % (30025)Time elapsed: 0.591 s
% 51.31/8.88  % (30025)Instructions burned: 1873 (million)
% 51.31/8.88  % (30025)------------------------------
% 51.31/8.88  % (30025)------------------------------
% 51.31/8.89  % (30031)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on DTF2THF_29531 for (2927ds/2868Mi)
% 51.99/8.96  % (30029)Instruction limit reached!
% 51.99/8.96  % (30029)------------------------------
% 51.99/8.96  % (30029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.99/8.96  % (30029)Termination reason: Unknown
% 51.99/8.96  % (30029)Termination phase: Saturation
% 51.99/8.96  
% 51.99/8.96  % (30029)Memory used [KB]: 10362
% 51.99/8.96  % (30029)Time elapsed: 0.272 s
% 51.99/8.96  % (30029)Instructions burned: 832 (million)
% 51.99/8.96  % (30029)------------------------------
% 51.99/8.96  % (30029)------------------------------
% 51.99/8.97  % (30032)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on DTF2THF_29531 for (2926ds/1516Mi)
% 55.08/9.08  % (30030)Instruction limit reached!
% 55.08/9.08  % (30030)------------------------------
% 55.08/9.08  % (30030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.08/9.08  % (30030)Termination reason: Unknown
% 55.08/9.08  % (30030)Termination phase: Saturation
% 55.08/9.08  
% 55.08/9.08  % (30030)Memory used [KB]: 17270
% 55.08/9.08  % (30030)Time elapsed: 0.301 s
% 55.08/9.08  % (30030)Instructions burned: 1188 (million)
% 55.08/9.08  % (30030)------------------------------
% 55.08/9.08  % (30030)------------------------------
% 55.08/9.09  % (30021)Instruction limit reached!
% 55.08/9.09  % (30021)------------------------------
% 55.08/9.09  % (30021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.08/9.09  % (30021)Termination reason: Unknown
% 55.08/9.09  % (30021)Termination phase: Saturation
% 55.08/9.09  
% 55.08/9.09  % (30021)Memory used [KB]: 19061
% 55.08/9.09  % (30021)Time elapsed: 0.943 s
% 55.08/9.09  % (30021)Instructions burned: 3711 (million)
% 55.08/9.09  % (30021)------------------------------
% 55.08/9.09  % (30021)------------------------------
% 55.08/9.10  % (30033)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on DTF2THF_29531 for (2925ds/2321Mi)
% 55.08/9.10  % (30034)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_29531 for (2924ds/2812Mi)
% 56.08/9.26  % (30010)Instruction limit reached!
% 56.08/9.26  % (30010)------------------------------
% 56.08/9.26  % (30010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.08/9.26  % (30010)Termination reason: Unknown
% 56.08/9.26  % (30010)Termination phase: Saturation
% 56.08/9.26  
% 56.08/9.26  % (30010)Memory used [KB]: 19061
% 56.08/9.26  % (30010)Time elapsed: 2.313 s
% 56.08/9.26  % (30010)Instructions burned: 7681 (million)
% 56.08/9.26  % (30010)------------------------------
% 56.08/9.26  % (30010)------------------------------
% 56.08/9.27  % (30035)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_29531 for (2923ds/4604Mi)
% 56.57/9.39  % (30028)Instruction limit reached!
% 56.57/9.39  % (30028)------------------------------
% 56.57/9.39  % (30028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.57/9.39  % (30028)Termination reason: Unknown
% 56.57/9.39  % (30028)Termination phase: Saturation
% 56.57/9.39  
% 56.57/9.39  % (30028)Memory used [KB]: 17782
% 56.57/9.39  % (30028)Time elapsed: 0.788 s
% 56.57/9.39  % (30028)Instructions burned: 3115 (million)
% 56.57/9.39  % (30028)------------------------------
% 56.57/9.39  % (30028)------------------------------
% 56.98/9.40  % (30036)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on DTF2THF_29531 for (2921ds/2678Mi)
% 56.98/9.44  % (30032)Instruction limit reached!
% 56.98/9.44  % (30032)------------------------------
% 56.98/9.44  % (30032)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.98/9.44  % (30032)Termination reason: Unknown
% 56.98/9.44  % (30032)Termination phase: Saturation
% 56.98/9.44  
% 56.98/9.44  % (30032)Memory used [KB]: 12665
% 56.98/9.44  % (30032)Time elapsed: 0.498 s
% 56.98/9.44  % (30032)Instructions burned: 1517 (million)
% 56.98/9.44  % (30032)------------------------------
% 56.98/9.44  % (30032)------------------------------
% 56.98/9.45  % (30037)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_29531 for (2921ds/643Mi)
% 57.43/9.61  % (30031)Instruction limit reached!
% 57.43/9.61  % (30031)------------------------------
% 57.43/9.61  % (30031)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.43/9.61  % (30031)Termination reason: Unknown
% 57.43/9.61  % (30031)Termination phase: Saturation
% 57.43/9.61  
% 57.43/9.61  % (30031)Memory used [KB]: 7803
% 57.43/9.61  % (30031)Time elapsed: 0.719 s
% 57.43/9.61  % (30031)Instructions burned: 2872 (million)
% 57.43/9.61  % (30031)------------------------------
% 57.43/9.61  % (30031)------------------------------
% 57.43/9.61  % (30037)Instruction limit reached!
% 57.43/9.61  % (30037)------------------------------
% 57.43/9.61  % (30037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.43/9.61  % (30037)Termination reason: Unknown
% 57.43/9.61  % (30037)Termination phase: Saturation
% 57.43/9.61  
% 57.43/9.61  % (30037)Memory used [KB]: 7675
% 57.43/9.61  % (30037)Time elapsed: 0.159 s
% 57.43/9.61  % (30037)Instructions burned: 643 (million)
% 57.43/9.61  % (30037)------------------------------
% 57.43/9.61  % (30037)------------------------------
% 57.43/9.62  % (30038)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on DTF2THF_29531 for (2919ds/458Mi)
% 57.43/9.62  % (30039)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on DTF2THF_29531 for (2919ds/2546Mi)
% 57.43/9.69  % (30033)Instruction limit reached!
% 57.43/9.69  % (30033)------------------------------
% 57.43/9.69  % (30033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.43/9.69  % (30033)Termination reason: Unknown
% 57.43/9.69  % (30033)Termination phase: Saturation
% 57.43/9.69  
% 57.43/9.69  % (30033)Memory used [KB]: 17014
% 57.43/9.69  % (30033)Time elapsed: 0.594 s
% 57.43/9.69  % (30033)Instructions burned: 2321 (million)
% 57.43/9.69  % (30033)------------------------------
% 57.43/9.69  % (30033)------------------------------
% 58.32/9.70  % (30040)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on DTF2THF_29531 for (2919ds/1432Mi)
% 58.32/9.73  % (30038)Instruction limit reached!
% 58.32/9.73  % (30038)------------------------------
% 58.32/9.73  % (30038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.32/9.73  % (30038)Termination reason: Unknown
% 58.32/9.73  % (30038)Termination phase: Saturation
% 58.32/9.73  
% 58.32/9.73  % (30038)Memory used [KB]: 7675
% 58.32/9.73  % (30038)Time elapsed: 0.117 s
% 58.32/9.73  % (30038)Instructions burned: 460 (million)
% 58.32/9.73  % (30038)------------------------------
% 58.32/9.73  % (30038)------------------------------
% 58.32/9.74  % (30041)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on DTF2THF_29531 for (2918ds/386Mi)
% 58.55/9.84  % (30041)Instruction limit reached!
% 58.55/9.84  % (30041)------------------------------
% 58.55/9.84  % (30041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.55/9.84  % (30041)Termination reason: Unknown
% 58.55/9.84  % (30041)Termination phase: Saturation
% 58.55/9.84  
% 58.55/9.84  % (30041)Memory used [KB]: 7675
% 58.55/9.84  % (30041)Time elapsed: 0.096 s
% 58.55/9.84  % (30041)Instructions burned: 387 (million)
% 58.55/9.84  % (30041)------------------------------
% 58.55/9.84  % (30041)------------------------------
% 58.55/9.85  % (30042)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_29531 for (2917ds/360Mi)
% 58.75/9.94  % (30042)Instruction limit reached!
% 58.75/9.94  % (30042)------------------------------
% 58.75/9.94  % (30042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.75/9.94  % (30042)Termination reason: Unknown
% 58.75/9.94  % (30042)Termination phase: Saturation
% 58.75/9.94  
% 58.75/9.94  % (30042)Memory used [KB]: 7547
% 58.75/9.94  % (30042)Time elapsed: 0.094 s
% 58.75/9.94  % (30042)Instructions burned: 363 (million)
% 58.75/9.94  % (30042)------------------------------
% 58.75/9.94  % (30042)------------------------------
% 58.75/9.95  % (30043)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on DTF2THF_29531 for (2916ds/5446Mi)
% 58.75/9.97  % (30034)Instruction limit reached!
% 58.75/9.97  % (30034)------------------------------
% 58.75/9.97  % (30034)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.75/9.97  % (30034)Termination reason: Unknown
% 58.75/9.97  % (30034)Termination phase: Saturation
% 58.75/9.97  
% 58.75/9.97  % (30034)Memory used [KB]: 13432
% 58.75/9.97  % (30034)Time elapsed: 0.867 s
% 58.75/9.97  % (30034)Instructions burned: 2814 (million)
% 58.75/9.97  % (30034)------------------------------
% 58.75/9.97  % (30034)------------------------------
% 58.75/9.98  % (30044)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on DTF2THF_29531 for (2916ds/2573Mi)
% 62.11/10.05  % (30040)Instruction limit reached!
% 62.11/10.05  % (30040)------------------------------
% 62.11/10.05  % (30040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.11/10.05  % (30040)Termination reason: Unknown
% 62.11/10.05  % (30040)Termination phase: Saturation
% 62.11/10.05  
% 62.11/10.05  % (30040)Memory used [KB]: 16886
% 62.11/10.05  % (30040)Time elapsed: 0.348 s
% 62.11/10.05  % (30040)Instructions burned: 1434 (million)
% 62.11/10.05  % (30040)------------------------------
% 62.11/10.05  % (30040)------------------------------
% 62.11/10.06  % (30045)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=2655:si=on:rtra=on_0 on DTF2THF_29531 for (2915ds/2655Mi)
% 62.11/10.06  % (30036)Instruction limit reached!
% 62.11/10.06  % (30036)------------------------------
% 62.11/10.06  % (30036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.11/10.06  % (30036)Termination reason: Unknown
% 62.11/10.06  % (30036)Termination phase: Saturation
% 62.11/10.06  
% 62.11/10.06  % (30036)Memory used [KB]: 26865
% 62.11/10.06  % (30036)Time elapsed: 0.655 s
% 62.11/10.06  % (30036)Instructions burned: 2679 (million)
% 62.11/10.06  % (30036)------------------------------
% 62.11/10.06  % (30036)------------------------------
% 62.11/10.07  % (30046)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on DTF2THF_29531 for (2915ds/2781Mi)
% 63.04/10.30  % (30020)Instruction limit reached!
% 63.04/10.30  % (30020)------------------------------
% 63.04/10.30  % (30020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.04/10.30  % (30020)Termination reason: Unknown
% 63.04/10.30  % (30020)Termination phase: Saturation
% 63.04/10.30  
% 63.04/10.30  % (30020)Memory used [KB]: 10618
% 63.04/10.30  % (30020)Time elapsed: 2.250 s
% 63.04/10.30  % (30020)Instructions burned: 7257 (million)
% 63.04/10.30  % (30020)------------------------------
% 63.04/10.30  % (30020)------------------------------
% 63.54/10.31  % (30047)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_29531 for (2913ds/307Mi)
% 63.54/10.36  % (30039)Instruction limit reached!
% 63.54/10.36  % (30039)------------------------------
% 63.54/10.36  % (30039)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.54/10.36  % (30039)Termination reason: Unknown
% 63.54/10.36  % (30039)Termination phase: Saturation
% 63.54/10.36  
% 63.54/10.36  % (30039)Memory used [KB]: 10746
% 63.54/10.36  % (30039)Time elapsed: 0.746 s
% 63.54/10.36  % (30039)Instructions burned: 2546 (million)
% 63.54/10.36  % (30039)------------------------------
% 63.54/10.36  % (30039)------------------------------
% 63.54/10.37  % (30048)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on DTF2THF_29531 for (2912ds/1548Mi)
% 63.54/10.38  % (30047)Instruction limit reached!
% 63.54/10.38  % (30047)------------------------------
% 63.54/10.38  % (30047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.54/10.38  % (30047)Termination reason: Unknown
% 63.54/10.38  % (30047)Termination phase: Saturation
% 63.54/10.38  
% 63.54/10.38  % (30047)Memory used [KB]: 7675
% 63.54/10.38  % (30047)Time elapsed: 0.077 s
% 63.54/10.38  % (30047)Instructions burned: 307 (million)
% 63.54/10.38  % (30047)------------------------------
% 63.54/10.38  % (30047)------------------------------
% 63.54/10.39  % (30049)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on DTF2THF_29531 for (2912ds/5214Mi)
% 64.61/10.62  % (30044)Instruction limit reached!
% 64.61/10.62  % (30044)------------------------------
% 64.61/10.62  % (30044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.61/10.62  % (30044)Termination reason: Unknown
% 64.61/10.62  % (30044)Termination phase: Saturation
% 64.61/10.62  
% 64.61/10.62  % (30044)Memory used [KB]: 18933
% 64.61/10.62  % (30044)Time elapsed: 0.650 s
% 64.61/10.62  % (30044)Instructions burned: 2574 (million)
% 64.61/10.62  % (30044)------------------------------
% 64.61/10.62  % (30044)------------------------------
% 64.61/10.64  % (30050)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on DTF2THF_29531 for (2909ds/3201Mi)
% 64.61/10.68  % (30035)Instruction limit reached!
% 64.61/10.68  % (30035)------------------------------
% 64.61/10.68  % (30035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.61/10.68  % (30035)Termination reason: Unknown
% 64.61/10.68  % (30035)Termination phase: Saturation
% 64.61/10.68  
% 64.61/10.68  % (30035)Memory used [KB]: 14456
% 64.61/10.68  % (30035)Time elapsed: 1.412 s
% 64.61/10.68  % (30035)Instructions burned: 4604 (million)
% 64.61/10.68  % (30035)------------------------------
% 64.61/10.68  % (30035)------------------------------
% 64.61/10.69  % (30051)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_29531 for (2909ds/454Mi)
% 64.85/10.73  % (30045)Instruction limit reached!
% 64.85/10.73  % (30045)------------------------------
% 64.85/10.73  % (30045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.85/10.73  % (30045)Termination reason: Unknown
% 64.85/10.73  % (30045)Termination phase: Saturation
% 64.85/10.73  
% 64.85/10.73  % (30045)Memory used [KB]: 5628
% 64.85/10.73  % (30045)Time elapsed: 0.671 s
% 64.85/10.73  % (30045)Instructions burned: 2658 (million)
% 64.85/10.73  % (30045)------------------------------
% 64.85/10.73  % (30045)------------------------------
% 64.85/10.74  % (30052)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on DTF2THF_29531 for (2908ds/3049Mi)
% 65.63/10.81  % (30051)Instruction limit reached!
% 65.63/10.81  % (30051)------------------------------
% 65.63/10.81  % (30051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.63/10.81  % (30051)Termination reason: Unknown
% 65.63/10.81  % (30051)Termination phase: Saturation
% 65.63/10.81  
% 65.63/10.81  % (30051)Memory used [KB]: 12153
% 65.63/10.81  % (30051)Time elapsed: 0.113 s
% 65.63/10.81  % (30051)Instructions burned: 454 (million)
% 65.63/10.81  % (30051)------------------------------
% 65.63/10.81  % (30051)------------------------------
% 65.63/10.82  % (30053)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on DTF2THF_29531 for (2907ds/7311Mi)
% 65.63/10.83  % (30048)Instruction limit reached!
% 65.63/10.83  % (30048)------------------------------
% 65.63/10.83  % (30048)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.63/10.83  % (30048)Termination reason: Unknown
% 65.63/10.83  % (30048)Termination phase: Saturation
% 65.63/10.83  
% 65.63/10.83  % (30048)Memory used [KB]: 11001
% 65.63/10.83  % (30048)Time elapsed: 0.464 s
% 65.63/10.83  % (30048)Instructions burned: 1548 (million)
% 65.63/10.83  % (30048)------------------------------
% 65.63/10.83  % (30048)------------------------------
% 65.63/10.84  % (30054)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on DTF2THF_29531 for (2907ds/6804Mi)
% 66.34/10.91  % (30046)Instruction limit reached!
% 66.34/10.91  % (30046)------------------------------
% 66.34/10.91  % (30046)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 66.34/10.91  % (30046)Termination reason: Unknown
% 66.34/10.91  % (30046)Termination phase: Saturation
% 66.34/10.91  
% 66.34/10.91  % (30046)Memory used [KB]: 10106
% 66.34/10.91  % (30046)Time elapsed: 0.860 s
% 66.34/10.91  % (30046)Instructions burned: 2781 (million)
% 66.34/10.91  % (30046)------------------------------
% 66.34/10.91  % (30046)------------------------------
% 66.34/10.92  % (30055)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on DTF2THF_29531 for (2906ds/1683Mi)
% 66.34/10.98  % (30054)Refutation not found, incomplete strategy
% 66.34/10.98  % (30054)------------------------------
% 66.34/10.98  % (30054)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 66.34/10.98  % (30054)Termination reason: Refutation not found, incomplete strategy
% 66.34/10.98  
% 66.34/10.98  
% 66.34/10.98  % (30054)Memory used [KB]: 11385
% 66.34/10.98  % (30054)Time elapsed: 0.139 s
% 66.34/10.98  % (30054)Instructions burned: 462 (million)
% 66.34/10.98  % (30054)------------------------------
% 66.34/10.98  % (30054)------------------------------
% 66.34/10.99  % (30056)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on DTF2THF_29531 for (2906ds/4688Mi)
% 71.06/11.38  % (30055)Instruction limit reached!
% 71.06/11.38  % (30055)------------------------------
% 71.06/11.38  % (30055)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.06/11.38  % (30055)Termination reason: Unknown
% 71.06/11.38  % (30055)Termination phase: Saturation
% 71.06/11.38  
% 71.06/11.38  % (30055)Memory used [KB]: 21108
% 71.06/11.38  % (30055)Time elapsed: 0.463 s
% 71.06/11.38  % (30055)Instructions burned: 1684 (million)
% 71.06/11.38  % (30055)------------------------------
% 71.06/11.38  % (30055)------------------------------
% 71.06/11.39  % (30057)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on DTF2THF_29531 for (2902ds/2207Mi)
% 72.94/11.61  % (30050)Instruction limit reached!
% 72.94/11.61  % (30050)------------------------------
% 72.94/11.61  % (30050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.94/11.61  % (30050)Termination reason: Unknown
% 72.94/11.61  % (30050)Termination phase: Saturation
% 72.94/11.61  
% 72.94/11.61  % (30050)Memory used [KB]: 13816
% 72.94/11.61  % (30050)Time elapsed: 0.972 s
% 72.94/11.61  % (30050)Instructions burned: 3202 (million)
% 72.94/11.61  % (30050)------------------------------
% 72.94/11.61  % (30050)------------------------------
% 72.94/11.62  % (30058)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=8216:si=on:rtra=on_0 on DTF2THF_29531 for (2899ds/8216Mi)
% 72.94/11.65  % (30043)Instruction limit reached!
% 72.94/11.65  % (30043)------------------------------
% 72.94/11.65  % (30043)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.94/11.65  % (30043)Termination reason: Unknown
% 72.94/11.65  % (30043)Termination phase: Saturation
% 72.94/11.65  
% 72.94/11.65  % (30043)Memory used [KB]: 16630
% 72.94/11.65  % (30043)Time elapsed: 1.706 s
% 72.94/11.65  % (30043)Instructions burned: 5448 (million)
% 72.94/11.65  % (30043)------------------------------
% 72.94/11.65  % (30043)------------------------------
% 72.94/11.66  % (30059)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on DTF2THF_29531 for (2899ds/430Mi)
% 72.94/11.67  % (30052)Instruction limit reached!
% 72.94/11.67  % (30052)------------------------------
% 72.94/11.67  % (30052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.94/11.67  % (30052)Termination reason: Unknown
% 72.94/11.67  % (30052)Termination phase: Saturation
% 72.94/11.67  
% 72.94/11.67  % (30052)Memory used [KB]: 11769
% 72.94/11.67  % (30052)Time elapsed: 0.935 s
% 72.94/11.67  % (30052)Instructions burned: 3051 (million)
% 72.94/11.67  % (30052)------------------------------
% 72.94/11.67  % (30052)------------------------------
% 72.94/11.68  % (30060)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on DTF2THF_29531 for (2899ds/2012Mi)
% 73.40/11.77  % (30059)Instruction limit reached!
% 73.40/11.77  % (30059)------------------------------
% 73.40/11.77  % (30059)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 73.40/11.77  % (30059)Termination reason: Unknown
% 73.40/11.77  % (30059)Termination phase: Saturation
% 73.40/11.77  
% 73.40/11.77  % (30059)Memory used [KB]: 7675
% 73.40/11.77  % (30059)Time elapsed: 0.107 s
% 73.40/11.77  % (30059)Instructions burned: 430 (million)
% 73.40/11.77  % (30059)------------------------------
% 73.40/11.77  % (30059)------------------------------
% 73.40/11.78  % (30061)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on DTF2THF_29531 for (2898ds/631Mi)
% 74.12/11.95  % (30049)Instruction limit reached!
% 74.12/11.95  % (30049)------------------------------
% 74.12/11.95  % (30049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 74.12/11.95  % (30049)Termination reason: Unknown
% 74.12/11.95  % (30049)Termination phase: Saturation
% 74.12/11.95  
% 74.12/11.95  % (30049)Memory used [KB]: 11513
% 74.12/11.95  % (30049)Time elapsed: 1.560 s
% 74.12/11.95  % (30049)Instructions burned: 5214 (million)
% 74.12/11.95  % (30049)------------------------------
% 74.12/11.95  % (30049)------------------------------
% 74.12/11.96  % (30061)Instruction limit reached!
% 74.12/11.96  % (30061)------------------------------
% 74.12/11.96  % (30061)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 74.12/11.96  % (30061)Termination reason: Unknown
% 74.12/11.96  % (30061)Termination phase: Saturation
% 74.12/11.96  
% 74.12/11.96  % (30061)Memory used [KB]: 8443
% 74.12/11.96  % (30061)Time elapsed: 0.179 s
% 74.12/11.96  % (30061)Instructions burned: 632 (million)
% 74.12/11.96  % (30061)------------------------------
% 74.12/11.96  % (30061)------------------------------
% 74.12/11.96  % (30062)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on DTF2THF_29531 for (2896ds/8785Mi)
% 74.12/11.97  % (30063)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on DTF2THF_29531 for (2896ds/739Mi)
% 76.14/12.05  % (30057)Instruction limit reached!
% 76.14/12.05  % (30057)------------------------------
% 76.14/12.05  % (30057)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.14/12.05  % (30057)Termination reason: Unknown
% 76.14/12.05  % (30057)Termination phase: Saturation
% 76.14/12.05  
% 76.14/12.05  % (30057)Memory used [KB]: 11641
% 76.14/12.05  % (30057)Time elapsed: 0.665 s
% 76.14/12.05  % (30057)Instructions burned: 2207 (million)
% 76.14/12.05  % (30057)------------------------------
% 76.14/12.05  % (30057)------------------------------
% 76.14/12.06  % (30064)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on DTF2THF_29531 for (2895ds/5473Mi)
% 76.79/12.18  % (30060)Instruction limit reached!
% 76.79/12.18  % (30060)------------------------------
% 76.79/12.18  % (30060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.79/12.18  % (30060)Termination reason: Unknown
% 76.79/12.18  % (30060)Termination phase: Saturation
% 76.79/12.18  
% 76.79/12.18  % (30060)Memory used [KB]: 12281
% 76.79/12.18  % (30060)Time elapsed: 0.499 s
% 76.79/12.18  % (30060)Instructions burned: 2014 (million)
% 76.79/12.18  % (30060)------------------------------
% 76.79/12.18  % (30060)------------------------------
% 76.79/12.19  % (30065)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on DTF2THF_29531 for (2894ds/43570Mi)
% 76.79/12.20  % (30063)Instruction limit reached!
% 76.79/12.20  % (30063)------------------------------
% 76.79/12.20  % (30063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.79/12.20  % (30063)Termination reason: Unknown
% 76.79/12.20  % (30063)Termination phase: Saturation
% 76.79/12.20  
% 76.79/12.20  % (30063)Memory used [KB]: 13944
% 76.79/12.20  % (30063)Time elapsed: 0.229 s
% 76.79/12.20  % (30063)Instructions burned: 739 (million)
% 76.79/12.20  % (30063)------------------------------
% 76.79/12.20  % (30063)------------------------------
% 77.21/12.21  % (30066)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on DTF2THF_29531 for (2893ds/8382Mi)
% 77.61/12.37  % (30056)Instruction limit reached!
% 77.61/12.37  % (30056)------------------------------
% 77.61/12.37  % (30056)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.61/12.37  % (30056)Termination reason: Unknown
% 77.61/12.37  % (30056)Termination phase: Saturation
% 77.61/12.37  
% 77.61/12.37  % (30056)Memory used [KB]: 14839
% 77.61/12.37  % (30056)Time elapsed: 1.374 s
% 77.61/12.37  % (30056)Instructions burned: 4689 (million)
% 77.61/12.37  % (30056)------------------------------
% 77.61/12.37  % (30056)------------------------------
% 77.61/12.38  % (30067)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on DTF2THF_29531 for (2892ds/407Mi)
% 77.99/12.48  % (30067)Instruction limit reached!
% 77.99/12.48  % (30067)------------------------------
% 77.99/12.48  % (30067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.99/12.48  % (30067)Termination reason: Unknown
% 77.99/12.48  % (30067)Termination phase: Saturation
% 77.99/12.48  
% 77.99/12.48  % (30067)Memory used [KB]: 9594
% 77.99/12.48  % (30067)Time elapsed: 0.107 s
% 77.99/12.48  % (30067)Instructions burned: 407 (million)
% 77.99/12.48  % (30067)------------------------------
% 77.99/12.48  % (30067)------------------------------
% 77.99/12.49  % (30068)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on DTF2THF_29531 for (2891ds/2971Mi)
% 83.87/13.14  % (30053)Instruction limit reached!
% 83.87/13.14  % (30053)------------------------------
% 83.87/13.14  % (30053)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 83.87/13.14  % (30053)Termination reason: Unknown
% 83.87/13.14  % (30053)Termination phase: Saturation
% 83.87/13.14  
% 83.87/13.14  % (30053)Memory used [KB]: 21875
% 83.87/13.14  % (30053)Time elapsed: 2.324 s
% 83.87/13.14  % (30053)Instructions burned: 7313 (million)
% 83.87/13.14  % (30053)------------------------------
% 83.87/13.14  % (30053)------------------------------
% 83.87/13.15  % (30069)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on DTF2THF_29531 for (2884ds/9822Mi)
% 84.33/13.23  % (30068)Instruction limit reached!
% 84.33/13.23  % (30068)------------------------------
% 84.33/13.23  % (30068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.33/13.23  % (30068)Termination reason: Unknown
% 84.33/13.23  % (30068)Termination phase: Saturation
% 84.33/13.23  
% 84.33/13.23  % (30068)Memory used [KB]: 7803
% 84.33/13.23  % (30068)Time elapsed: 0.743 s
% 84.33/13.23  % (30068)Instructions burned: 2973 (million)
% 84.33/13.23  % (30068)------------------------------
% 84.33/13.23  % (30068)------------------------------
% 84.33/13.24  % (30070)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on DTF2THF_29531 for (2883ds/8425Mi)
% 85.88/13.59  % (30058)Instruction limit reached!
% 85.88/13.59  % (30058)------------------------------
% 85.88/13.59  % (30058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 85.88/13.59  % (30058)Termination reason: Unknown
% 85.88/13.59  % (30058)Termination phase: Saturation
% 85.88/13.59  
% 85.88/13.59  % (30058)Memory used [KB]: 7931
% 85.88/13.59  % (30058)Time elapsed: 1.972 s
% 85.88/13.59  % (30058)Instructions burned: 8218 (million)
% 85.88/13.59  % (30058)------------------------------
% 85.88/13.59  % (30058)------------------------------
% 86.39/13.60  % (30071)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on DTF2THF_29531 for (2879ds/3107Mi)
% 86.79/13.76  % (30064)Instruction limit reached!
% 86.79/13.76  % (30064)------------------------------
% 86.79/13.76  % (30064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.79/13.76  % (30064)Termination reason: Unknown
% 86.79/13.76  % (30064)Termination phase: Saturation
% 86.79/13.76  
% 86.79/13.76  % (30064)Memory used [KB]: 14583
% 86.79/13.76  % (30064)Time elapsed: 1.703 s
% 86.79/13.76  % (30064)Instructions burned: 5475 (million)
% 86.79/13.76  % (30064)------------------------------
% 86.79/13.76  % (30064)------------------------------
% 86.79/13.78  % (30072)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on DTF2THF_29531 for (2878ds/7967Mi)
% 92.79/14.49  % (30066)Instruction limit reached!
% 92.79/14.49  % (30066)------------------------------
% 92.79/14.49  % (30066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 92.79/14.49  % (30066)Termination reason: Unknown
% 92.79/14.49  % (30066)Termination phase: Saturation
% 92.79/14.49  
% 92.79/14.49  % (30066)Memory used [KB]: 14967
% 92.79/14.49  % (30066)Time elapsed: 2.287 s
% 92.79/14.49  % (30066)Instructions burned: 8383 (million)
% 92.79/14.49  % (30066)------------------------------
% 92.79/14.49  % (30066)------------------------------
% 93.52/14.50  % (30164)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on DTF2THF_29531 for (2871ds/3629Mi)
% 93.52/14.54  % (30071)Instruction limit reached!
% 93.52/14.54  % (30071)------------------------------
% 93.52/14.54  % (30071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 93.52/14.54  % (30071)Termination reason: Unknown
% 93.52/14.54  % (30071)Termination phase: Saturation
% 93.52/14.54  
% 93.52/14.54  % (30071)Memory used [KB]: 19061
% 93.52/14.54  % (30071)Time elapsed: 0.948 s
% 93.52/14.54  % (30071)Instructions burned: 3110 (million)
% 93.52/14.54  % (30071)------------------------------
% 93.52/14.54  % (30071)------------------------------
% 93.52/14.56  % (30180)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=939:si=on:rtra=on_0 on DTF2THF_29531 for (2870ds/939Mi)
% 94.07/14.61  % (30069)Refutation not found, incomplete strategy
% 94.07/14.61  % (30069)------------------------------
% 94.07/14.61  % (30069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 94.07/14.61  % (30069)Termination reason: Refutation not found, incomplete strategy
% 94.07/14.61  
% 94.07/14.61  
% 94.07/14.61  % (30069)Memory used [KB]: 23666
% 94.07/14.61  % (30069)Time elapsed: 1.486 s
% 94.07/14.61  % (30069)Instructions burned: 4715 (million)
% 94.07/14.61  % (30069)------------------------------
% 94.07/14.61  % (30069)------------------------------
% 94.07/14.62  % (30205)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_29531 for (2869ds/1188Mi)
% 94.50/14.72  % (30062)Instruction limit reached!
% 94.50/14.72  % (30062)------------------------------
% 94.50/14.72  % (30062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 94.50/14.72  % (30062)Termination reason: Unknown
% 94.50/14.72  % (30062)Termination phase: Saturation
% 94.50/14.72  
% 94.50/14.72  % (30062)Memory used [KB]: 21492
% 94.50/14.72  % (30062)Time elapsed: 2.764 s
% 94.50/14.72  % (30062)Instructions burned: 8787 (million)
% 94.50/14.72  % (30062)------------------------------
% 94.50/14.72  % (30062)------------------------------
% 94.50/14.73  % (30237)dis+21_3:2_avsq=on:cbe=off:e2e=on:flr=on:ile=on:nwc=5.0:piset=or:rawr=on:sp=occurrence:i=3205:si=on:rtra=on_0 on DTF2THF_29531 for (2868ds/3205Mi)
% 94.85/14.83  % (30180)Instruction limit reached!
% 94.85/14.83  % (30180)------------------------------
% 94.85/14.83  % (30180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 94.85/14.83  % (30180)Termination reason: Unknown
% 94.85/14.83  % (30180)Termination phase: Saturation
% 94.85/14.83  
% 94.85/14.83  % (30180)Memory used [KB]: 10618
% 94.85/14.83  % (30180)Time elapsed: 0.297 s
% 94.85/14.83  % (30180)Instructions burned: 939 (million)
% 94.85/14.83  % (30180)------------------------------
% 94.85/14.83  % (30180)------------------------------
% 94.85/14.84  % (30298)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_29531 for (2867ds/865Mi)
% 95.43/14.92  % (30205)Instruction limit reached!
% 95.43/14.92  % (30205)------------------------------
% 95.43/14.92  % (30205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 95.43/14.92  % (30205)Termination reason: Unknown
% 95.43/14.92  % (30205)Termination phase: Saturation
% 95.43/14.92  
% 95.43/14.92  % (30205)Memory used [KB]: 18038
% 95.43/14.92  % (30205)Time elapsed: 0.300 s
% 95.43/14.92  % (30205)Instructions burned: 1190 (million)
% 95.43/14.92  % (30205)------------------------------
% 95.43/14.92  % (30205)------------------------------
% 95.43/14.93  % (30320)ott+1002_1:1_au=on:bd=off:cbe=off:cha=on:cnfonf=lazy_pi_sigma_gen:fd=off:fe=off:ntd=on:sp=const_frequency:i=7469:si=on:rtra=on_0 on DTF2THF_29531 for (2866ds/7469Mi)
% 97.22/15.07  % (30298)Instruction limit reached!
% 97.22/15.07  % (30298)------------------------------
% 97.22/15.07  % (30298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 97.22/15.07  % (30298)Termination reason: Unknown
% 97.22/15.07  % (30298)Termination phase: Saturation
% 97.22/15.07  
% 97.22/15.07  % (30298)Memory used [KB]: 8059
% 97.22/15.07  % (30298)Time elapsed: 0.234 s
% 97.22/15.07  % (30298)Instructions burned: 867 (million)
% 97.22/15.07  % (30298)------------------------------
% 97.22/15.07  % (30298)------------------------------
% 97.22/15.08  % (30394)dis+10_1:10_bd=preordered:e2e=on:fde=none:fe=axiom:hud=3:kws=precedence:nwc=3.0:prag=on:sp=const_max:tgt=full:i=4165:si=on:rtra=on_0 on DTF2THF_29531 for (2865ds/4165Mi)
% 99.52/15.49  % (30164)Instruction limit reached!
% 99.52/15.49  % (30164)------------------------------
% 99.52/15.49  % (30164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 99.52/15.49  % (30164)Termination reason: Unknown
% 99.52/15.49  % (30164)Termination phase: Saturation
% 99.52/15.49  
% 99.52/15.49  % (30164)Memory used [KB]: 7803
% 99.52/15.49  % (30164)Time elapsed: 0.987 s
% 99.52/15.49  % (30164)Instructions burned: 3630 (million)
% 99.52/15.49  % (30164)------------------------------
% 99.52/15.49  % (30164)------------------------------
% 100.10/15.50  % (30447)dis+1010_1:1_au=on:avsq=on:cnfonf=lazy_simp:fsr=off:ntd=on:nwc=10.0:sp=reverse_frequency:ss=axioms:st=1.5:i=13468:si=on:rtra=on_0 on DTF2THF_29531 for (2861ds/13468Mi)
% 104.25/16.07  % (30237)Instruction limit reached!
% 104.25/16.07  % (30237)------------------------------
% 104.25/16.07  % (30237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 104.25/16.07  % (30237)Termination reason: Unknown
% 104.25/16.07  % (30237)Termination phase: Saturation
% 104.25/16.07  
% 104.25/16.07  % (30237)Memory used [KB]: 16247
% 104.25/16.07  % (30237)Time elapsed: 1.358 s
% 104.25/16.07  % (30237)Instructions burned: 3205 (million)
% 104.25/16.07  % (30237)------------------------------
% 104.25/16.07  % (30237)------------------------------
% 104.25/16.08  % (30072)Instruction limit reached!
% 104.25/16.08  % (30072)------------------------------
% 104.25/16.08  % (30072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 104.25/16.08  % (30072)Termination reason: Unknown
% 104.25/16.08  % (30072)Termination phase: Saturation
% 104.25/16.08  
% 104.25/16.08  % (30072)Memory used [KB]: 17014
% 104.25/16.08  % (30072)Time elapsed: 2.305 s
% 104.25/16.08  % (30072)Instructions burned: 7968 (million)
% 104.25/16.08  % (30072)------------------------------
% 104.25/16.08  % (30072)------------------------------
% 104.25/16.09  % (30449)dis+1002_1:1_au=on:bsr=unit_only:cbe=off:fe=off:fsr=off:nm=10:nwc=6.0:plsq=on:plsqc=1:plsqr=32,1:sos=all:i=2635:si=on:rtra=on_0 on DTF2THF_29531 for (2855ds/2635Mi)
% 104.25/16.10  % (30450)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=631:si=on:rtra=on_0 on DTF2THF_29531 for (2855ds/631Mi)
% 104.89/16.19  % (30070)Instruction limit reached!
% 104.89/16.19  % (30070)------------------------------
% 104.89/16.19  % (30070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 104.89/16.19  % (30070)Termination reason: Unknown
% 104.89/16.19  % (30070)Termination phase: Saturation
% 104.89/16.19  
% 104.89/16.19  % (30070)Memory used [KB]: 12537
% 104.89/16.19  % (30070)Time elapsed: 2.947 s
% 104.89/16.19  % (30070)Instructions burned: 8425 (million)
% 104.89/16.19  % (30070)------------------------------
% 104.89/16.19  % (30070)------------------------------
% 105.19/16.21  % (30451)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=15557:si=on:rtra=on_0 on DTF2THF_29531 for (2853ds/15557Mi)
% 105.59/16.35  % (30450)Instruction limit reached!
% 105.59/16.35  % (30450)------------------------------
% 105.59/16.35  % (30450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 105.59/16.35  % (30450)Termination reason: Unknown
% 105.59/16.35  % (30450)Termination phase: Saturation
% 105.59/16.35  
% 105.59/16.35  % (30450)Memory used [KB]: 7675
% 105.59/16.35  % (30450)Time elapsed: 0.255 s
% 105.59/16.35  % (30450)Instructions burned: 633 (million)
% 105.59/16.35  % (30450)------------------------------
% 105.59/16.35  % (30450)------------------------------
% 105.59/16.37  % (30452)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2142:si=on:rtra=on_0 on DTF2THF_29531 for (2852ds/2142Mi)
% 111.88/17.14  % (30394)Instruction limit reached!
% 111.88/17.14  % (30394)------------------------------
% 111.88/17.14  % (30394)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 111.88/17.14  % (30394)Termination reason: Unknown
% 111.88/17.14  % (30394)Termination phase: Saturation
% 111.88/17.14  
% 111.88/17.14  % (30394)Memory used [KB]: 26609
% 111.88/17.14  % (30394)Time elapsed: 2.081 s
% 111.88/17.14  % (30394)Instructions burned: 4166 (million)
% 111.88/17.14  % (30394)------------------------------
% 111.88/17.14  % (30394)------------------------------
% 111.88/17.16  % (30453)dis+1002_1:1_aac=none:au=on:bd=off:cnfonf=conj_eager:nwc=5.0:sgt=5:sp=reverse_arity:ss=axioms:i=5624:si=on:rtra=on_0 on DTF2THF_29531 for (2844ds/5624Mi)
% 112.94/17.38  % (30449)Instruction limit reached!
% 112.94/17.38  % (30449)------------------------------
% 112.94/17.38  % (30449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 112.94/17.38  % (30449)Termination reason: Unknown
% 112.94/17.38  % (30449)Termination phase: Saturation
% 112.94/17.38  
% 112.94/17.38  % (30449)Memory used [KB]: 12409
% 112.94/17.38  % (30449)Time elapsed: 1.296 s
% 112.94/17.38  % (30449)Instructions burned: 2636 (million)
% 112.94/17.38  % (30449)------------------------------
% 112.94/17.38  % (30449)------------------------------
% 112.94/17.40  % (30452)Instruction limit reached!
% 112.94/17.40  % (30452)------------------------------
% 112.94/17.40  % (30452)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 112.94/17.40  % (30452)Termination reason: Unknown
% 112.94/17.40  % (30452)Termination phase: Saturation
% 112.94/17.40  
% 112.94/17.40  % (30452)Memory used [KB]: 11257
% 112.94/17.40  % (30452)Time elapsed: 1.032 s
% 112.94/17.40  % (30452)Instructions burned: 2143 (million)
% 112.94/17.40  % (30452)------------------------------
% 112.94/17.40  % (30452)------------------------------
% 112.52/17.40  % (30454)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=1665:si=on:rtra=on_0 on DTF2THF_29531 for (2842ds/1665Mi)
% 112.52/17.41  % (30455)dis+1002_1:1_av=off:prag=on:sd=1:sos=on:sp=occurrence:ss=axioms:i=64912:si=on:rtra=on_0 on DTF2THF_29531 for (2841ds/64912Mi)
% 115.16/17.81  % (30320)Instruction limit reached!
% 115.16/17.81  % (30320)------------------------------
% 115.16/17.81  % (30320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 115.16/17.81  % (30320)Termination reason: Unknown
% 115.16/17.81  % (30320)Termination phase: Saturation
% 115.16/17.81  
% 115.16/17.81  % (30320)Memory used [KB]: 11001
% 115.16/17.81  % (30320)Time elapsed: 2.877 s
% 115.16/17.81  % (30320)Instructions burned: 7471 (million)
% 115.16/17.81  % (30320)------------------------------
% 115.16/17.81  % (30320)------------------------------
% 115.16/17.82  % (30456)lrs+10_1:32_atotf=0.1:avsq=on:bsr=on:cnfonf=lazy_gen:fde=unused:i=7801:si=on:rtra=on_0 on DTF2THF_29531 for (2837ds/7801Mi)
% 115.49/18.02  % (30454)Instruction limit reached!
% 115.49/18.02  % (30454)------------------------------
% 115.49/18.02  % (30454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 115.49/18.02  % (30454)Termination reason: Unknown
% 115.49/18.02  % (30454)Termination phase: Saturation
% 115.49/18.02  
% 115.49/18.02  % (30454)Memory used [KB]: 17142
% 115.49/18.02  % (30454)Time elapsed: 0.625 s
% 115.49/18.02  % (30454)Instructions burned: 1665 (million)
% 115.49/18.02  % (30454)------------------------------
% 115.49/18.02  % (30454)------------------------------
% 117.56/18.05  % (30457)ott+2_1:1_au=on:hfsq=on:hfsqc=5:hfsql=off:nwc=5.0:sd=3:ss=axioms:st=5.0:i=15194:si=on:rtra=on_0 on DTF2THF_29531 for (2835ds/15194Mi)
% 131.22/19.92  % (30453)Instruction limit reached!
% 131.22/19.92  % (30453)------------------------------
% 131.22/19.92  % (30453)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 131.22/19.92  % (30453)Termination reason: Unknown
% 131.22/19.92  % (30453)Termination phase: Saturation
% 131.22/19.92  
% 131.22/19.92  % (30453)Memory used [KB]: 14200
% 131.22/19.92  % (30453)Time elapsed: 2.766 s
% 131.22/19.92  % (30453)Instructions burned: 5625 (million)
% 131.22/19.92  % (30453)------------------------------
% 131.22/19.92  % (30453)------------------------------
% 131.22/19.95  % (30458)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=6753:si=on:rtra=on_0 on DTF2THF_29531 for (2816ds/6753Mi)
% 131.98/20.11  % (30447)Instruction limit reached!
% 131.98/20.11  % (30447)------------------------------
% 131.98/20.11  % (30447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 131.98/20.11  % (30447)Termination reason: Unknown
% 131.98/20.11  % (30447)Termination phase: Saturation
% 131.98/20.11  
% 131.98/20.11  % (30447)Memory used [KB]: 8187
% 131.98/20.11  % (30447)Time elapsed: 4.606 s
% 131.98/20.11  % (30447)Instructions burned: 13470 (million)
% 131.98/20.11  % (30447)------------------------------
% 131.98/20.11  % (30447)------------------------------
% 132.67/20.13  % (30459)lrs+1002_1:28_bd=off:cnfonf=lazy_simp:plsq=on:plsqr=1,1:prag=on:i=1003:si=on:rtra=on_0 on DTF2THF_29531 for (2814ds/1003Mi)
% 132.67/20.15  % (30458)Refutation not found, incomplete strategy
% 132.67/20.15  % (30458)------------------------------
% 132.67/20.15  % (30458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 132.67/20.15  % (30458)Termination reason: Refutation not found, incomplete strategy
% 132.67/20.15  
% 132.67/20.15  
% 132.67/20.15  % (30458)Memory used [KB]: 11513
% 132.67/20.15  % (30458)Time elapsed: 0.218 s
% 132.67/20.15  % (30458)Instructions burned: 488 (million)
% 132.67/20.15  % (30458)------------------------------
% 132.67/20.15  % (30458)------------------------------
% 132.67/20.16  % (30460)ott-21_5:4_atotf=0.3:e2e=on:hud=15:ins=1:plsq=on:plsqc=1:plsqr=32,1:sp=unary_frequency:tnu=2:i=13018:si=on:rtra=on_0 on DTF2THF_29531 for (2814ds/13018Mi)
% 134.60/20.51  % (30459)Instruction limit reached!
% 134.60/20.51  % (30459)------------------------------
% 134.60/20.51  % (30459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 134.60/20.51  % (30459)Termination reason: Unknown
% 134.60/20.51  % (30459)Termination phase: Saturation
% 134.60/20.51  
% 134.60/20.51  % (30459)Memory used [KB]: 7803
% 134.60/20.51  % (30459)Time elapsed: 0.382 s
% 134.60/20.51  % (30459)Instructions burned: 1004 (million)
% 134.60/20.51  % (30459)------------------------------
% 134.60/20.51  % (30459)------------------------------
% 134.60/20.52  % (30461)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1267:si=on:rtra=on_0 on DTF2THF_29531 for (2810ds/1267Mi)
% 139.01/21.03  % (30456)Instruction limit reached!
% 139.01/21.03  % (30456)------------------------------
% 139.01/21.03  % (30456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 139.01/21.03  % (30456)Termination reason: Unknown
% 139.01/21.03  % (30456)Termination phase: Saturation
% 139.01/21.03  
% 139.01/21.03  % (30456)Memory used [KB]: 13560
% 139.01/21.03  % (30456)Time elapsed: 3.198 s
% 139.01/21.03  % (30456)Instructions burned: 7802 (million)
% 139.01/21.03  % (30456)------------------------------
% 139.01/21.03  % (30456)------------------------------
% 139.01/21.05  % (30462)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=2570:si=on:rtra=on_0 on DTF2THF_29531 for (2805ds/2570Mi)
% 139.63/21.15  % (30461)Instruction limit reached!
% 139.63/21.15  % (30461)------------------------------
% 139.63/21.15  % (30461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 139.63/21.15  % (30461)Termination reason: Unknown
% 139.63/21.15  % (30461)Termination phase: Saturation
% 139.63/21.15  
% 139.63/21.15  % (30461)Memory used [KB]: 12281
% 139.63/21.15  % (30461)Time elapsed: 0.627 s
% 139.63/21.15  % (30461)Instructions burned: 1268 (million)
% 139.63/21.15  % (30461)------------------------------
% 139.63/21.15  % (30461)------------------------------
% 139.63/21.17  % (30463)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=13163:si=on:rtra=on_0 on DTF2THF_29531 for (2804ds/13163Mi)
% 141.03/21.41  % (30451)Instruction limit reached!
% 141.03/21.41  % (30451)------------------------------
% 141.03/21.41  % (30451)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 141.03/21.41  % (30451)Termination reason: Unknown
% 141.03/21.41  % (30451)Termination phase: Saturation
% 141.03/21.41  
% 141.03/21.41  % (30451)Memory used [KB]: 17910
% 141.03/21.41  % (30451)Time elapsed: 5.200 s
% 141.03/21.41  % (30451)Instructions burned: 15559 (million)
% 141.03/21.41  % (30451)------------------------------
% 141.03/21.41  % (30451)------------------------------
% 141.03/21.42  % (30464)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=5087:si=on:rtra=on_0 on DTF2THF_29531 for (2801ds/5087Mi)
% 143.04/22.00  % (30462)Instruction limit reached!
% 143.04/22.00  % (30462)------------------------------
% 143.04/22.00  % (30462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 143.04/22.00  % (30462)Termination reason: Unknown
% 143.04/22.00  % (30462)Termination phase: Saturation
% 143.04/22.00  
% 143.04/22.00  % (30462)Memory used [KB]: 26865
% 143.04/22.00  % (30462)Time elapsed: 0.957 s
% 143.04/22.00  % (30462)Instructions burned: 2572 (million)
% 143.04/22.00  % (30462)------------------------------
% 143.04/22.00  % (30462)------------------------------
% 145.92/22.02  % (30465)lrs+1002_1:1_aac=none:au=on:bd=off:cnfonf=lazy_pi_sigma_gen:s2a=on:sac=on:sd=1:sgt=20:ss=axioms:i=10380:si=on:rtra=on_0 on DTF2THF_29531 for (2795ds/10380Mi)
% 156.25/23.55  % (30464)Instruction limit reached!
% 156.25/23.55  % (30464)------------------------------
% 156.25/23.55  % (30464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 156.25/23.55  % (30464)Termination reason: Unknown
% 156.25/23.55  % (30464)Termination phase: Saturation
% 156.25/23.55  
% 156.25/23.55  % (30464)Memory used [KB]: 14072
% 156.25/23.55  % (30464)Time elapsed: 2.138 s
% 156.25/23.55  % (30464)Instructions burned: 5088 (million)
% 156.25/23.55  % (30464)------------------------------
% 156.25/23.55  % (30464)------------------------------
% 156.25/23.57  % (30482)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4218:si=on:rtra=on_0 on DTF2THF_29531 for (2780ds/4218Mi)
% 156.89/23.60  % (30457)Instruction limit reached!
% 156.89/23.60  % (30457)------------------------------
% 156.89/23.60  % (30457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 156.89/23.60  % (30457)Termination reason: Unknown
% 156.89/23.60  % (30457)Termination phase: Saturation
% 156.89/23.60  
% 156.89/23.60  % (30457)Memory used [KB]: 21492
% 156.89/23.60  % (30457)Time elapsed: 5.546 s
% 156.89/23.60  % (30457)Instructions burned: 15197 (million)
% 156.89/23.60  % (30457)------------------------------
% 156.89/23.60  % (30457)------------------------------
% 156.89/23.62  % (30483)ott+1666_1:1_hfaw=0:hfsq=on:hfsql=off:hfsqr=1,16:hud=15:slsq=on:slsqr=1,2:tnu=2:i=3971:si=on:rtra=on_0 on DTF2THF_29531 for (2779ds/3971Mi)
% 162.50/24.43  % (30460)First to succeed.
% 162.50/24.46  % (30460)Refutation found. Thanks to Tanya!
% 162.50/24.46  % SZS status Theorem for DTF2THF_29531
% 162.50/24.46  % SZS output start Proof for DTF2THF_29531
% 162.50/24.46  thf(func_def_0, type, in: $i > $i > $o).
% 162.50/24.46  thf(func_def_1, type, exu: ($i > $o) > $o).
% 162.50/24.46  thf(func_def_6, type, setadjoin: $i > $i > $i).
% 162.50/24.46  thf(func_def_8, type, powerset: $i > $i).
% 162.50/24.46  thf(func_def_10, type, setunion: $i > $i).
% 162.50/24.46  thf(func_def_19, type, descr: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 162.50/24.46  thf(func_def_26, type, prop2set: $o > $i).
% 162.50/24.46  thf(func_def_36, type, nonempty: $i > $o).
% 162.50/24.46  thf(func_def_69, type, set2prop: $i > $o).
% 162.50/24.46  thf(func_def_88, type, subset: $i > $i > $o).
% 162.50/24.46  thf(func_def_89, type, disjoint: $i > $i > $o).
% 162.50/24.46  thf(func_def_90, type, setsmeet: $i > $i > $o).
% 162.50/24.46  thf(func_def_114, type, binunion: $i > $i > $i).
% 162.50/24.46  thf(func_def_122, type, binintersect: $i > $i > $i).
% 162.50/24.46  thf(func_def_135, type, regular: $i > $o).
% 162.50/24.46  thf(func_def_136, type, setminus: $i > $i > $i).
% 162.50/24.46  thf(func_def_147, type, symdiff: $i > $i > $i).
% 162.50/24.46  thf(func_def_153, type, iskpair: $i > $o).
% 162.50/24.46  thf(func_def_158, type, kpair: $i > $i > $i).
% 162.50/24.46  thf(func_def_160, type, cartprod: $i > $i > $i).
% 162.50/24.46  thf(func_def_177, type, singleton: $i > $o).
% 162.50/24.46  thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 162.50/24.46  thf(func_def_184, type, atmost1p: $i > $o).
% 162.50/24.46  thf(func_def_185, type, atleast2p: $i > $o).
% 162.50/24.46  thf(func_def_186, type, atmost2p: $i > $o).
% 162.50/24.46  thf(func_def_187, type, upairsetp: $i > $o).
% 162.50/24.46  thf(func_def_191, type, kfst: $i > $i).
% 162.50/24.46  thf(func_def_203, type, ksnd: $i > $i).
% 162.50/24.46  thf(func_def_213, type, breln: $i > $i > $i > $o).
% 162.50/24.46  thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 162.50/24.46  thf(func_def_222, type, func: $i > $i > $i > $o).
% 162.50/24.46  thf(func_def_223, type, funcSet: $i > $i > $i).
% 162.50/24.46  thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 162.50/24.46  thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 162.50/24.46  thf(func_def_323, type, breln1: $i > $i > $o).
% 162.50/24.46  thf(func_def_325, type, breln1Set: $i > $i).
% 162.50/24.46  thf(func_def_327, type, transitive: $i > $i > $o).
% 162.50/24.46  thf(func_def_328, type, antisymmetric: $i > $i > $o).
% 162.50/24.46  thf(func_def_329, type, reflexive: $i > $i > $o).
% 162.50/24.46  thf(func_def_330, type, refltransitive: $i > $i > $o).
% 162.50/24.46  thf(func_def_331, type, refllinearorder: $i > $i > $o).
% 162.50/24.46  thf(func_def_332, type, reflwellordering: $i > $i > $o).
% 162.50/24.46  thf(func_def_338, type, breln1invset: $i > $i > $i).
% 162.50/24.46  thf(func_def_342, type, breln1compset: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_363, type, sP3: $i > $i > $i > $o).
% 162.50/24.46  thf(func_def_368, type, sP8: $i > $i > $i > $o > $o).
% 162.50/24.46  thf(func_def_369, type, sP9: $i > $i > $i > $i > $o).
% 162.50/24.46  thf(func_def_371, type, sP11: $i > $i > $i > $o).
% 162.50/24.46  thf(func_def_373, type, sP13: $i > $i > $o).
% 162.50/24.46  thf(func_def_374, type, sP14: $i > $o).
% 162.50/24.46  thf(func_def_375, type, sP15: $i > $i > $o).
% 162.50/24.46  thf(func_def_376, type, sP16: $i > $i > $o).
% 162.50/24.46  thf(func_def_391, type, sK31: $o > $i > $i > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_394, type, sK34: $i > $i > $o).
% 162.50/24.46  thf(func_def_413, type, sK53: $i > $o).
% 162.50/24.46  thf(func_def_419, type, sK59: $i > $o).
% 162.50/24.46  thf(func_def_420, type, sK60: $i > $i).
% 162.50/24.46  thf(func_def_421, type, sK61: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_426, type, sK66: $i > $i).
% 162.50/24.46  thf(func_def_452, type, sK92: $i > $o).
% 162.50/24.46  thf(func_def_456, type, sK96: $i > $o).
% 162.50/24.46  thf(func_def_457, type, sK97: $i > ($i > $o) > $i).
% 162.50/24.46  thf(func_def_458, type, sK98: $i > $o).
% 162.50/24.46  thf(func_def_461, type, sK101: $i > $o).
% 162.50/24.46  thf(func_def_473, type, sK113: $i > $i > $o).
% 162.50/24.46  thf(func_def_498, type, sK138: $i > $o).
% 162.50/24.46  thf(func_def_505, type, sK145: $i > $i > ($i > $i) > $i).
% 162.50/24.46  thf(func_def_506, type, sK146: $i > $i).
% 162.50/24.46  thf(func_def_510, type, sK150: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_511, type, sK151: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_524, type, sK164: $i > $i > $i).
% 162.50/24.46  thf(func_def_547, type, sK187: $i > $i).
% 162.50/24.46  thf(func_def_572, type, sK212: ($i > $o) > ($i > $o) > $i).
% 162.50/24.46  thf(func_def_573, type, sK213: ($i > $o) > ($i > $o) > $i).
% 162.50/24.46  thf(func_def_574, type, sK214: $i > $o).
% 162.50/24.46  thf(func_def_575, type, sK215: $i > $o).
% 162.50/24.46  thf(func_def_582, type, sK222: $i > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_592, type, sK232: $i > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_593, type, sK233: $i > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_594, type, sK234: $i > $i).
% 162.50/24.46  thf(func_def_597, type, sK237: $i > $i > ($i > $i) > $i).
% 162.50/24.46  thf(func_def_607, type, sK247: $i > $i > $i).
% 162.50/24.46  thf(func_def_615, type, sK255: $i > $o).
% 162.50/24.46  thf(func_def_618, type, sK258: $i > ($i > $o) > $i).
% 162.50/24.46  thf(func_def_625, type, sK265: $i > $i > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_626, type, sK266: ($i > $o) > $i > $i > $i).
% 162.50/24.46  thf(func_def_627, type, sK267: ($i > $o) > $i > $i > $i).
% 162.50/24.46  thf(func_def_630, type, sK270: $i > $o).
% 162.50/24.46  thf(func_def_639, type, sK279: $i > $i > $o).
% 162.50/24.46  thf(func_def_651, type, sK291: $i > $o).
% 162.50/24.46  thf(func_def_652, type, sK292: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_662, type, sK302: $i > $o).
% 162.50/24.46  thf(func_def_672, type, sK312: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_673, type, sK313: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_674, type, sK314: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_675, type, sK315: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_689, type, sK329: $i > ($i > $o) > $i).
% 162.50/24.46  thf(func_def_690, type, sK330: $i > $o).
% 162.50/24.46  thf(func_def_725, type, sK365: $i > $o).
% 162.50/24.46  thf(func_def_727, type, sK367: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_745, type, sK385: $i > $i > $o).
% 162.50/24.46  thf(func_def_751, type, sK391: $i > $i).
% 162.50/24.46  thf(func_def_753, type, sK393: $i > $o).
% 162.50/24.46  thf(func_def_762, type, sK402: $i > $o).
% 162.50/24.46  thf(func_def_764, type, sK404: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_765, type, sK405: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_772, type, sK412: $i > $o).
% 162.50/24.46  thf(func_def_780, type, sK420: $i > $o).
% 162.50/24.46  thf(func_def_782, type, sK422: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_783, type, sK423: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_789, type, sK429: $i > $o).
% 162.50/24.46  thf(func_def_791, type, sK431: ($i > $o) > $i > $i > $i).
% 162.50/24.46  thf(func_def_792, type, sK432: ($i > $o) > $i > $i > $i).
% 162.50/24.46  thf(func_def_803, type, sK443: ($i > $o) > $i > $i > $i).
% 162.50/24.46  thf(func_def_806, type, sK446: $i > $o).
% 162.50/24.46  thf(func_def_811, type, sK451: $i > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_812, type, sK452: $i > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_813, type, sK453: $i > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_814, type, sK454: $i > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_818, type, sK458: $i > $i > $i).
% 162.50/24.46  thf(func_def_821, type, sK461: ($i > $i) > $i > $i > $i).
% 162.50/24.46  thf(func_def_824, type, sK464: $i > $i).
% 162.50/24.46  thf(func_def_839, type, sK479: $i > $o).
% 162.50/24.46  thf(func_def_842, type, sK482: $i > ($i > $o) > $i).
% 162.50/24.46  thf(func_def_846, type, sK486: $i > $i > $o).
% 162.50/24.46  thf(func_def_862, type, sK502: $i > $i).
% 162.50/24.46  thf(func_def_870, type, sK510: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_872, type, sK512: $i > $o).
% 162.50/24.46  thf(func_def_878, type, sK518: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_880, type, sK520: $i > $o).
% 162.50/24.46  thf(func_def_895, type, sK535: $i > $o).
% 162.50/24.46  thf(func_def_899, type, sK539: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_900, type, sK540: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_924, type, sK564: $i > $i).
% 162.50/24.46  thf(func_def_927, type, sK567: $i > $i > ($i > $i) > $i).
% 162.50/24.46  thf(func_def_936, type, sK576: $i > $i > $o).
% 162.50/24.46  thf(func_def_940, type, sK580: ($i > $o) > ($i > $o) > $i > $i > $i).
% 162.50/24.46  thf(func_def_941, type, sK581: ($i > $o) > ($i > $o) > $i > $i > $i).
% 162.50/24.46  thf(func_def_944, type, sK584: $i > $o).
% 162.50/24.46  thf(func_def_945, type, sK585: $i > $o).
% 162.50/24.46  thf(func_def_956, type, sK596: $i > ($i > $o) > $i).
% 162.50/24.46  thf(func_def_957, type, sK597: $i > $o).
% 162.50/24.46  thf(func_def_966, type, sK606: $i > $o).
% 162.50/24.46  thf(func_def_975, type, sK615: ($i > $o) > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_976, type, sK616: ($i > $o) > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_980, type, sK620: $i > $o).
% 162.50/24.46  thf(func_def_989, type, sK629: $i > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_1015, type, sK655: $i > $i > $i).
% 162.50/24.46  thf(func_def_1019, type, sK659: $i > $o).
% 162.50/24.46  thf(func_def_1021, type, sK661: ($i > $o) > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_1022, type, sK662: ($i > $o) > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_1040, type, sK680: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_1053, type, sK693: $i > $i > $i).
% 162.50/24.46  thf(func_def_1057, type, sK697: $i > $i > $i).
% 162.50/24.46  thf(func_def_1067, type, sK707: $i > $i > $o).
% 162.50/24.46  thf(func_def_1099, type, sK739: ($i > $o) > ($i > $o) > $i).
% 162.50/24.46  thf(func_def_1100, type, sK740: ($i > $o) > ($i > $o) > $i).
% 162.50/24.46  thf(func_def_1101, type, sK741: $i > $o).
% 162.50/24.46  thf(func_def_1102, type, sK742: $i > $o).
% 162.50/24.46  thf(func_def_1103, type, sK743: $o > $i > $i > $i).
% 162.50/24.46  thf(func_def_1125, type, sK765: $i > $i > $i).
% 162.50/24.46  thf(func_def_1128, type, sK768: $i > $i > $i).
% 162.50/24.46  thf(func_def_1129, type, sK769: $i > $i > $i).
% 162.50/24.46  thf(func_def_1136, type, sK776: $i > $i > $i).
% 162.50/24.46  thf(func_def_1141, type, sK781: $i > $i).
% 162.50/24.46  thf(func_def_1143, type, sK783: $i > $i).
% 162.50/24.46  thf(func_def_1164, type, sK804: $i > $i > ($i > $i) > $i).
% 162.50/24.46  thf(func_def_1165, type, sK805: $i > $i).
% 162.50/24.46  thf(func_def_1172, type, sK812: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_1173, type, sK813: $i > $o).
% 162.50/24.46  thf(func_def_1174, type, sK814: $i > $i).
% 162.50/24.46  thf(func_def_1189, type, sK829: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_1193, type, sK833: $i > ($i > $i) > $i > $i).
% 162.50/24.46  thf(func_def_1195, type, sK835: $i > $i).
% 162.50/24.46  thf(func_def_1200, type, sK840: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_1202, type, sK842: $i > $o).
% 162.50/24.46  thf(func_def_1211, type, sK851: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_1212, type, sK852: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_1214, type, sK854: $i > $i).
% 162.50/24.46  thf(func_def_1225, type, sK865: $i > $o).
% 162.50/24.46  thf(func_def_1230, type, sK870: $i > $o).
% 162.50/24.46  thf(func_def_1236, type, sK876: $i > $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_1240, type, sK880: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_1241, type, sK881: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_1242, type, sK882: $i > $o).
% 162.50/24.46  thf(func_def_1244, type, sK884: ($i > $i > $o) > $i > $i > $i).
% 162.50/24.46  thf(func_def_1247, type, sK887: $i > $i > $o).
% 162.50/24.46  thf(func_def_1250, type, sK890: $i > $i).
% 162.50/24.46  thf(func_def_1262, type, sK902: $i > $i > $o).
% 162.50/24.46  thf(func_def_1295, type, sK935: $i > $i > $o).
% 162.50/24.46  thf(func_def_1296, type, sK936: $i > $i).
% 162.50/24.46  thf(func_def_1297, type, sK937: $i > $i).
% 162.50/24.46  thf(func_def_1298, type, sK938: ($i > $i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_1299, type, sK939: $i > ($i > $i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_1300, type, sK940: ($i > $i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_1306, type, sK946: $i > $o).
% 162.50/24.46  thf(func_def_1311, type, sK951: $i > $i > $i).
% 162.50/24.46  thf(func_def_1312, type, sK952: $i > $i > $i).
% 162.50/24.46  thf(func_def_1313, type, sK953: $i > $i > $i).
% 162.50/24.46  thf(func_def_1314, type, sK954: $i > $i > $i).
% 162.50/24.46  thf(func_def_1315, type, sK955: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_1316, type, sK956: $i > $i).
% 162.50/24.46  thf(func_def_1317, type, sK957: $i > $i).
% 162.50/24.46  thf(func_def_1318, type, sK958: $i > $i).
% 162.50/24.46  thf(func_def_1319, type, sK959: $i > $i).
% 162.50/24.46  thf(func_def_1320, type, sK960: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_1321, type, sK961: $i > $i > $i > $i).
% 162.50/24.46  thf(func_def_1322, type, sK962: $i > $i > $i).
% 162.50/24.46  thf(func_def_1323, type, sK963: $i > $i > $i).
% 162.50/24.46  thf(func_def_1324, type, sK964: $i > $i > $i).
% 162.50/24.46  thf(func_def_1325, type, sK965: $i > $i).
% 162.50/24.46  thf(func_def_1326, type, sK966: $i > $i > $i).
% 162.50/24.46  thf(func_def_1328, type, sK968: $i > $i).
% 162.50/24.46  thf(func_def_1329, type, sK969: $i > $i).
% 162.50/24.46  thf(func_def_1357, type, sP997: $o > $o).
% 162.50/24.46  thf(func_def_1358, type, sP998: $o > $o).
% 162.50/24.46  thf(func_def_1359, type, sP999: $o > $o).
% 162.50/24.46  thf(func_def_1360, type, sP1000: $i > $o).
% 162.50/24.46  thf(func_def_1361, type, sP1001: $o > $o).
% 162.50/24.46  thf(func_def_1362, type, sP1002: $o > $o).
% 162.50/24.46  thf(func_def_1363, type, sP1003: $o > $o).
% 162.50/24.46  thf(func_def_1364, type, sP1004: $o > $o).
% 162.50/24.46  thf(func_def_1365, type, sP1005: $o > $o).
% 162.50/24.46  thf(func_def_1366, type, sP1006: $o > $o).
% 162.50/24.46  thf(func_def_1367, type, sP1007: $o > $o).
% 162.50/24.46  thf(func_def_1368, type, sP1008: $o > $o).
% 162.50/24.46  thf(func_def_1369, type, sP1009: $o > $o).
% 162.50/24.46  thf(func_def_1370, type, sP1010: $o > $o).
% 162.50/24.46  thf(func_def_1371, type, sP1011: $o > $o).
% 162.50/24.46  thf(func_def_1372, type, sP1012: $o > $o).
% 162.50/24.46  thf(func_def_1373, type, sP1013: $o > $o).
% 162.50/24.46  thf(func_def_1374, type, sP1014: $o > $o).
% 162.50/24.46  thf(func_def_1375, type, sP1015: $o > $o).
% 162.50/24.46  thf(func_def_1376, type, sP1016: $o > $o).
% 162.50/24.46  thf(func_def_1377, type, sP1017: $o > $o).
% 162.50/24.46  thf(func_def_1378, type, sP1018: $o > $o).
% 162.50/24.46  thf(func_def_1379, type, sP1019: $o > $o).
% 162.50/24.46  thf(func_def_1380, type, sP1020: $o > $o).
% 162.50/24.46  thf(func_def_1381, type, sP1021: $o > $o).
% 162.50/24.46  thf(func_def_1382, type, sP1022: $o > $o).
% 162.50/24.46  thf(func_def_1383, type, sP1023: $o > $o).
% 162.50/24.46  thf(func_def_1384, type, sP1024: $o > $o).
% 162.50/24.46  thf(func_def_1385, type, sP1025: $o > $o).
% 162.50/24.46  thf(func_def_1386, type, sP1026: $o > $o).
% 162.50/24.46  thf(func_def_1387, type, sP1027: $o > $o).
% 162.50/24.46  thf(func_def_1388, type, sP1028: $o > $o).
% 162.50/24.46  thf(func_def_1389, type, sP1029: $o > $o).
% 162.50/24.46  thf(func_def_1390, type, sP1030: $o > $o).
% 162.50/24.46  thf(func_def_1391, type, sP1031: $o > $o).
% 162.50/24.46  thf(func_def_1392, type, sP1032: $o > $o).
% 162.50/24.46  thf(func_def_1393, type, sP1033: $o > $o).
% 162.50/24.46  thf(func_def_1394, type, sP1034: $o > $o).
% 162.50/24.46  thf(func_def_1395, type, sP1035: $o > $o).
% 162.50/24.46  thf(func_def_1396, type, sP1036: $o > $o).
% 162.50/24.46  thf(func_def_1397, type, sP1037: $o > $o).
% 162.50/24.46  thf(func_def_1398, type, sP1038: $o > $o).
% 162.50/24.46  thf(func_def_1399, type, sP1039: $o > $o).
% 162.50/24.46  thf(func_def_1400, type, sP1040: $o > $o).
% 162.50/24.46  thf(func_def_1401, type, sP1041: $o > $o).
% 162.50/24.46  thf(func_def_1402, type, sP1042: $o > $o).
% 162.50/24.46  thf(func_def_1403, type, sP1043: $o > $o).
% 162.50/24.46  thf(func_def_1404, type, sP1044: $o > $o).
% 162.50/24.46  thf(func_def_1405, type, sP1045: $o > $o).
% 162.50/24.46  thf(func_def_1406, type, sP1046: $o > $o).
% 162.50/24.46  thf(func_def_1407, type, sP1047: $o > $o).
% 162.50/24.46  thf(func_def_1408, type, sP1048: $o > $o).
% 162.50/24.46  thf(func_def_1409, type, sP1049: $o > $o).
% 162.50/24.46  thf(func_def_1410, type, sP1050: $o > $o).
% 162.50/24.46  thf(func_def_1411, type, sP1051: $o > $o).
% 162.50/24.46  thf(func_def_1412, type, sP1052: $i > $o).
% 162.50/24.46  thf(func_def_1413, type, sP1053: $o > $o).
% 162.50/24.46  thf(func_def_1414, type, sP1054: $o > $o).
% 162.50/24.46  thf(func_def_1415, type, sP1055: $o > $o).
% 162.50/24.46  thf(func_def_1416, type, sP1056: $o > $o).
% 162.50/24.46  thf(func_def_1417, type, sP1057: $o > $o).
% 162.50/24.46  thf(func_def_1418, type, sP1058: $o > $o).
% 162.50/24.46  thf(func_def_1419, type, sP1059: $o > $o).
% 162.50/24.46  thf(func_def_1420, type, sP1060: $i > $o).
% 162.50/24.46  thf(func_def_1421, type, sP1061: $o > $o).
% 162.50/24.46  thf(func_def_1422, type, sP1062: $o > $o).
% 162.50/24.46  thf(func_def_1423, type, sP1063: $o > $o).
% 162.50/24.46  thf(func_def_1424, type, sP1064: $o > $o).
% 162.50/24.46  thf(func_def_1425, type, sP1065: $o > $o).
% 162.50/24.46  thf(func_def_1426, type, sP1066: $o > $o).
% 162.50/24.46  thf(func_def_1427, type, sP1067: $o > $o).
% 162.50/24.46  thf(func_def_1428, type, sP1068: $o > $o).
% 162.50/24.46  thf(func_def_1429, type, sP1069: $o > $o).
% 162.50/24.46  thf(func_def_1430, type, sP1070: $o > $o).
% 162.50/24.46  thf(func_def_1431, type, sP1071: $o > $o).
% 162.50/24.46  thf(func_def_1432, type, sP1072: $o > $o).
% 162.50/24.46  thf(func_def_1433, type, sP1073: $o > $o).
% 162.50/24.46  thf(func_def_1434, type, sP1074: $o > $o).
% 162.50/24.46  thf(func_def_1435, type, sP1075: $o > $o).
% 162.50/24.46  thf(func_def_1436, type, sP1076: $i > $o).
% 162.50/24.46  thf(func_def_1437, type, sP1077: $o > $o).
% 162.50/24.46  thf(func_def_1438, type, sP1078: $o > $o).
% 162.50/24.46  thf(func_def_1439, type, sP1079: $o > $o).
% 162.50/24.46  thf(func_def_1440, type, sP1080: $o > $o).
% 162.50/24.46  thf(func_def_1441, type, sP1081: $o > $o).
% 162.50/24.46  thf(func_def_1442, type, sP1082: $o > $o).
% 162.50/24.46  thf(func_def_1443, type, sP1083: $o > $o).
% 162.50/24.46  thf(func_def_1444, type, sP1084: $o > $o).
% 162.50/24.46  thf(func_def_1445, type, sP1085: $o > $o).
% 162.50/24.46  thf(func_def_1446, type, sP1086: $o > $o).
% 162.50/24.46  thf(func_def_1447, type, sP1087: $o > $o).
% 162.50/24.46  thf(func_def_1448, type, sP1088: $o > $o).
% 162.50/24.46  thf(func_def_1449, type, sP1089: $o > $o).
% 162.50/24.46  thf(func_def_1450, type, sP1090: $o > $o).
% 162.50/24.46  thf(func_def_1451, type, sP1091: $o > $o).
% 162.50/24.46  thf(func_def_1452, type, sP1092: $o > $o).
% 162.50/24.46  thf(func_def_1453, type, sP1093: $o > $o).
% 162.50/24.46  thf(func_def_1454, type, sP1094: $o > $o).
% 162.50/24.46  thf(func_def_1455, type, sP1095: $o > $o).
% 162.50/24.46  thf(func_def_1456, type, sP1096: $o > $o).
% 162.50/24.46  thf(func_def_1457, type, sP1097: $o > $o).
% 162.50/24.46  thf(func_def_1458, type, sP1098: $o > $o).
% 162.50/24.46  thf(func_def_1459, type, sP1099: $o > $o).
% 162.50/24.46  thf(func_def_1460, type, sP1100: $o > $o).
% 162.50/24.46  thf(func_def_1461, type, sP1101: $o > $o).
% 162.50/24.46  thf(func_def_1462, type, sP1102: $o > $o).
% 162.50/24.46  thf(func_def_1463, type, sP1103: $o > $o).
% 162.50/24.46  thf(func_def_1464, type, sP1104: $o > $o).
% 162.50/24.46  thf(func_def_1465, type, sP1105: $o > $o).
% 162.50/24.46  thf(func_def_1466, type, sP1106: $o > $o).
% 162.50/24.46  thf(func_def_1467, type, sP1107: $o > $o).
% 162.50/24.46  thf(func_def_1468, type, sP1108: $o > $o).
% 162.50/24.46  thf(func_def_1469, type, sP1109: $o > $o).
% 162.50/24.46  thf(func_def_1470, type, sP1110: $o > $o).
% 162.50/24.46  thf(func_def_1471, type, sP1111: $i > $o).
% 162.50/24.46  thf(func_def_1472, type, sP1112: $o > $o).
% 162.50/24.46  thf(func_def_1473, type, sP1113: $o > $o).
% 162.50/24.46  thf(func_def_1474, type, sP1114: $o > $o).
% 162.50/24.46  thf(func_def_1475, type, sP1115: $o > $o).
% 162.50/24.46  thf(func_def_1476, type, sP1116: $o > $o).
% 162.50/24.46  thf(func_def_1477, type, sP1117: $o > $o).
% 162.50/24.46  thf(func_def_1478, type, sP1118: $o > $o).
% 162.50/24.46  thf(func_def_1479, type, sP1119: $o > $o).
% 162.50/24.46  thf(func_def_1480, type, sP1120: $o > $o).
% 162.50/24.46  thf(func_def_1481, type, sP1121: $o > $o).
% 162.50/24.46  thf(func_def_1482, type, sP1122: $o > $o).
% 162.50/24.46  thf(func_def_1483, type, sP1123: $o > $o).
% 162.50/24.46  thf(func_def_1484, type, sP1124: $o > $o).
% 162.50/24.46  thf(func_def_1485, type, sP1125: $o > $o).
% 162.50/24.46  thf(func_def_1486, type, sP1126: $o > $o).
% 162.50/24.46  thf(func_def_1487, type, sP1127: $i > $o).
% 162.50/24.46  thf(func_def_1488, type, sP1128: $o > $o).
% 162.50/24.46  thf(func_def_1489, type, sP1129: $o > $o).
% 162.50/24.46  thf(func_def_1490, type, sP1130: $i > $o).
% 162.50/24.46  thf(func_def_1491, type, sP1131: $o > $o).
% 162.50/24.46  thf(func_def_1492, type, sP1132: $o > $o).
% 162.50/24.46  thf(func_def_1493, type, sP1133: $o > $o).
% 162.50/24.46  thf(func_def_1494, type, sP1134: $o > $o).
% 162.50/24.46  thf(func_def_1495, type, sP1135: $o > $o).
% 162.50/24.46  thf(func_def_1496, type, sP1136: $o > $o).
% 162.50/24.46  thf(func_def_1497, type, sP1137: $o > $o).
% 162.50/24.46  thf(func_def_1498, type, sP1138: $o > $o).
% 162.50/24.46  thf(func_def_1499, type, sP1139: $o > $o).
% 162.50/24.46  thf(func_def_1500, type, sP1140: $o > $o).
% 162.50/24.46  thf(func_def_1501, type, sP1141: $o > $o).
% 162.50/24.46  thf(func_def_1502, type, sP1142: $o > $o).
% 162.50/24.46  thf(func_def_1503, type, sP1143: $o > $o).
% 162.50/24.46  thf(func_def_1504, type, sP1144: $o > $o).
% 162.50/24.46  thf(func_def_1505, type, sP1145: $o > $o).
% 162.50/24.46  thf(func_def_1506, type, sP1146: $o > $o).
% 162.50/24.46  thf(func_def_1507, type, sP1147: $o > $o).
% 162.50/24.46  thf(func_def_1508, type, sP1148: $o > $o).
% 162.50/24.46  thf(func_def_1509, type, sP1149: $o > $o).
% 162.50/24.46  thf(func_def_1510, type, sP1150: $o > $o).
% 162.50/24.46  thf(func_def_1511, type, sP1151: $o > $o).
% 162.50/24.46  thf(func_def_1512, type, sP1152: $o > $o).
% 162.50/24.46  thf(func_def_1513, type, sP1153: $o > $o).
% 162.50/24.46  thf(func_def_1514, type, sP1154: $o > $o).
% 162.50/24.46  thf(func_def_1515, type, sP1155: $i > $o).
% 162.50/24.46  thf(func_def_1516, type, sP1156: $o > $o).
% 162.50/24.46  thf(func_def_1517, type, sP1157: $o > $o).
% 162.50/24.46  thf(func_def_1518, type, sP1158: $o > $o).
% 162.50/24.46  thf(func_def_1519, type, sP1159: $o > $o).
% 162.50/24.46  thf(func_def_1520, type, sP1160: $i > $o).
% 162.50/24.46  thf(func_def_1521, type, sP1161: $o > $o).
% 162.50/24.46  thf(func_def_1522, type, sP1162: $o > $o).
% 162.50/24.46  thf(func_def_1523, type, sP1163: $o > $o).
% 162.50/24.46  thf(func_def_1524, type, sP1164: $o > $o).
% 162.50/24.46  thf(func_def_1525, type, sP1165: $o > $o).
% 162.50/24.46  thf(func_def_1526, type, sP1166: $i > $o).
% 162.50/24.46  thf(func_def_1527, type, sP1167: $o > $o).
% 162.50/24.46  thf(func_def_1528, type, sP1168: $o > $o).
% 162.50/24.46  thf(func_def_1529, type, sP1169: $o > $o).
% 162.50/24.46  thf(func_def_1530, type, sP1170: $o > $o).
% 162.50/24.46  thf(func_def_1531, type, sP1171: $o > $o).
% 162.50/24.46  thf(func_def_1532, type, sP1172: $i > $o).
% 162.50/24.46  thf(func_def_1533, type, sP1173: $o > $o).
% 162.50/24.46  thf(func_def_1534, type, sP1174: $o > $o).
% 162.50/24.46  thf(func_def_1535, type, sP1175: $o > $o).
% 162.50/24.46  thf(func_def_1536, type, sP1176: $o > $o).
% 162.50/24.46  thf(func_def_1537, type, sP1177: $o > $o).
% 162.50/24.46  thf(func_def_1538, type, sP1178: $o > $o).
% 162.50/24.46  thf(func_def_1539, type, sP1179: $o > $o).
% 162.50/24.46  thf(func_def_1540, type, sP1180: $o > $o).
% 162.50/24.46  thf(func_def_1541, type, sP1181: $o > $o).
% 162.50/24.46  thf(func_def_1542, type, sP1182: $o > $o).
% 162.50/24.46  thf(func_def_1543, type, sP1183: $o > $o).
% 162.50/24.46  thf(func_def_1544, type, sP1184: $o > $o).
% 162.50/24.46  thf(func_def_1545, type, sP1185: $o > $o).
% 162.50/24.46  thf(func_def_1546, type, sP1186: $o > $o).
% 162.50/24.46  thf(func_def_1547, type, sP1187: $o > $o).
% 162.50/24.46  thf(func_def_1548, type, sP1188: $o > $o).
% 162.50/24.46  thf(func_def_1549, type, sP1189: $o > $o).
% 162.50/24.46  thf(func_def_1550, type, sP1190: $o > $o).
% 162.50/24.46  thf(func_def_1551, type, sP1191: $o > $o).
% 162.50/24.46  thf(func_def_1552, type, sP1192: $o > $o).
% 162.50/24.46  thf(func_def_1553, type, sP1193: $o > $o).
% 162.50/24.46  thf(func_def_1554, type, sP1194: $o > $o).
% 162.50/24.46  thf(func_def_1555, type, sP1195: $i > $o).
% 162.50/24.46  thf(func_def_1556, type, sP1196: $o > $o).
% 162.50/24.46  thf(func_def_1557, type, sP1197: $o > $o).
% 162.50/24.46  thf(func_def_1558, type, sP1198: $o > $o).
% 162.50/24.46  thf(func_def_1559, type, sP1199: $o > $o).
% 162.50/24.46  thf(func_def_1560, type, sP1200: $o > $o).
% 162.50/24.46  thf(func_def_1561, type, sP1201: $o > $o).
% 162.50/24.46  thf(func_def_1562, type, sP1202: $o > $o).
% 162.50/24.46  thf(func_def_1563, type, sP1203: $o > $o).
% 162.50/24.46  thf(func_def_1564, type, sP1204: $o > $o).
% 162.50/24.46  thf(func_def_1565, type, sP1205: $o > $o).
% 162.50/24.46  thf(func_def_1566, type, sP1206: $o > $o).
% 162.50/24.46  thf(func_def_1567, type, sP1207: $o > $o).
% 162.50/24.46  thf(func_def_1568, type, sP1208: $o > $o).
% 162.50/24.46  thf(func_def_1569, type, sP1209: $o > $o).
% 162.50/24.46  thf(func_def_1570, type, sP1210: $o > $o).
% 162.50/24.46  thf(func_def_1571, type, sP1211: $o > $o).
% 162.50/24.46  thf(func_def_1572, type, sP1212: $o > $o).
% 162.50/24.46  thf(func_def_1573, type, sP1213: $o > $o).
% 162.50/24.46  thf(func_def_1574, type, sP1214: $o > $o).
% 162.50/24.46  thf(func_def_1575, type, sP1215: $o > $o).
% 162.50/24.46  thf(func_def_1576, type, sP1216: $o > $o).
% 162.50/24.46  thf(func_def_1577, type, sP1217: $i > $o).
% 162.50/24.46  thf(func_def_1578, type, sP1218: $o > $o).
% 162.50/24.46  thf(func_def_1579, type, sP1219: $o > $o).
% 162.50/24.46  thf(func_def_1580, type, sP1220: $o > $o).
% 162.50/24.46  thf(func_def_1581, type, sP1221: $i > $o).
% 162.50/24.46  thf(func_def_1582, type, sP1222: $i > $o).
% 162.50/24.46  thf(func_def_1583, type, sP1223: $o > $o).
% 162.50/24.46  thf(func_def_1584, type, sP1224: $o > $o).
% 162.50/24.46  thf(func_def_1585, type, sP1225: $o > $o).
% 162.50/24.46  thf(func_def_1586, type, sP1226: $o > $o).
% 162.50/24.46  thf(func_def_1587, type, sP1227: $o > $o).
% 162.50/24.46  thf(func_def_1588, type, sP1228: $o > $o).
% 162.50/24.46  thf(func_def_1589, type, sP1229: $o > $o).
% 162.50/24.46  thf(func_def_1590, type, sP1230: $i > $o).
% 162.50/24.46  thf(func_def_1591, type, sP1231: $o > $o).
% 162.50/24.46  thf(func_def_1592, type, sP1232: $o > $o).
% 162.50/24.46  thf(func_def_1593, type, sP1233: $o > $o).
% 162.50/24.46  thf(func_def_1594, type, sP1234: $o > $o).
% 162.50/24.46  thf(func_def_1595, type, sP1235: $o > $o).
% 162.50/24.46  thf(func_def_1596, type, sP1236: $o > $o).
% 162.50/24.46  thf(func_def_1597, type, sP1237: $o > $o).
% 162.50/24.46  thf(func_def_1598, type, sP1238: $o > $o).
% 162.50/24.46  thf(func_def_1599, type, sP1239: $o > $o).
% 162.50/24.46  thf(func_def_1600, type, sP1240: $o > $o).
% 162.50/24.46  thf(func_def_1601, type, sP1241: $o > $o).
% 162.50/24.46  thf(func_def_1602, type, sP1242: $o > $o).
% 162.50/24.46  thf(func_def_1603, type, sP1243: $o > $o).
% 162.50/24.46  thf(func_def_1604, type, sP1244: $o > $o).
% 162.50/24.46  thf(func_def_1605, type, sP1245: $o > $o).
% 162.50/24.46  thf(func_def_1606, type, sP1246: $o > $o).
% 162.50/24.46  thf(func_def_1607, type, sP1247: $o > $o).
% 162.50/24.46  thf(func_def_1608, type, sP1248: $o > $o).
% 162.50/24.46  thf(func_def_1609, type, sP1249: $o > $o).
% 162.50/24.46  thf(func_def_1610, type, sP1250: $o > $o).
% 162.50/24.46  thf(func_def_1611, type, sP1251: $o > $o).
% 162.50/24.46  thf(func_def_1612, type, sP1252: $o > $o).
% 162.50/24.46  thf(func_def_1613, type, sP1253: $o > $o).
% 162.50/24.46  thf(func_def_1614, type, sP1254: $o > $o).
% 162.50/24.46  thf(func_def_1615, type, sP1255: $o > $o).
% 162.50/24.46  thf(func_def_1616, type, sP1256: $o > $o).
% 162.50/24.46  thf(func_def_1617, type, sP1257: $o > $o).
% 162.50/24.46  thf(func_def_1618, type, sP1258: $o > $o).
% 162.50/24.46  thf(func_def_1619, type, sP1259: $o > $o).
% 162.50/24.46  thf(func_def_1620, type, sP1260: $o > $o).
% 162.50/24.46  thf(func_def_1621, type, sP1261: $o > $o).
% 162.50/24.46  thf(func_def_1622, type, sP1262: $o > $o).
% 162.50/24.46  thf(func_def_1623, type, sP1263: $o > $o).
% 162.50/24.46  thf(func_def_1624, type, sP1264: $o > $o).
% 162.50/24.46  thf(func_def_1625, type, sP1265: $o > $o).
% 162.50/24.46  thf(func_def_1626, type, sP1266: $i > $o).
% 162.50/24.46  thf(func_def_1627, type, sP1267: $o > $o).
% 162.50/24.46  thf(func_def_1628, type, sP1268: $o > $o).
% 162.50/24.46  thf(func_def_1629, type, sP1269: $o > $o).
% 162.50/24.46  thf(func_def_1630, type, sP1270: $o > $o).
% 162.50/24.46  thf(func_def_1631, type, sP1271: $o > $o).
% 162.50/24.46  thf(func_def_1632, type, sP1272: $o > $o).
% 162.50/24.46  thf(func_def_1633, type, sP1273: $o > $o).
% 162.50/24.46  thf(func_def_1634, type, sP1274: $o > $o).
% 162.50/24.46  thf(func_def_1635, type, sP1275: $o > $o).
% 162.50/24.46  thf(func_def_1636, type, sP1276: $o > $o).
% 162.50/24.46  thf(func_def_1637, type, sP1277: $o > $o).
% 162.50/24.46  thf(func_def_1638, type, sP1278: $o > $o).
% 162.50/24.46  thf(func_def_1639, type, sP1279: $o > $o).
% 162.50/24.46  thf(func_def_1640, type, sP1280: $o > $o).
% 162.50/24.46  thf(func_def_1641, type, sP1281: $o > $o).
% 162.50/24.46  thf(func_def_1642, type, sP1282: $o > $o).
% 162.50/24.46  thf(func_def_1643, type, sP1283: $o > $o).
% 162.50/24.46  thf(func_def_1644, type, sP1284: $o > $o).
% 162.50/24.46  thf(func_def_1645, type, sP1285: $o > $o).
% 162.50/24.46  thf(func_def_1646, type, sP1286: $o > $o).
% 162.50/24.46  thf(func_def_1647, type, sP1287: $o > $o).
% 162.50/24.46  thf(func_def_1648, type, sP1288: $o > $o).
% 162.50/24.46  thf(func_def_1649, type, sP1289: $o > $o).
% 162.50/24.46  thf(func_def_1650, type, sP1290: $o > $o).
% 162.50/24.46  thf(func_def_1651, type, sP1291: $o > $o).
% 162.50/24.46  thf(func_def_1652, type, sP1292: $o > $o).
% 162.50/24.46  thf(func_def_1653, type, sP1293: $o > $o).
% 162.50/24.46  thf(func_def_1654, type, sP1294: $o > $o).
% 162.50/24.46  thf(func_def_1655, type, sP1295: $o > $o).
% 162.50/24.46  thf(func_def_1656, type, sP1296: $o > $o).
% 162.50/24.46  thf(func_def_1657, type, sP1297: $o > $o).
% 162.50/24.46  thf(func_def_1658, type, sP1298: $o > $o).
% 162.50/24.46  thf(func_def_1659, type, sP1299: $o > $o).
% 162.50/24.46  thf(func_def_1660, type, sP1300: $o > $o).
% 162.50/24.46  thf(func_def_1661, type, sP1301: $o > $o).
% 162.50/24.46  thf(func_def_1662, type, sP1302: $o > $o).
% 162.50/24.46  thf(func_def_1663, type, sP1303: $o > $o).
% 162.50/24.46  thf(func_def_1664, type, sP1304: $o > $o).
% 162.50/24.46  thf(func_def_1665, type, sP1305: $o > $o).
% 162.50/24.46  thf(func_def_1666, type, sP1306: $o > $o).
% 162.50/24.46  thf(func_def_1667, type, sP1307: $o > $o).
% 162.50/24.46  thf(func_def_1668, type, sP1308: $o > $o).
% 162.50/24.46  thf(func_def_1669, type, sP1309: $o > $o).
% 162.50/24.46  thf(func_def_1670, type, sP1310: $o > $o).
% 162.50/24.46  thf(func_def_1671, type, sP1311: $o > $o).
% 162.50/24.46  thf(func_def_1672, type, sP1312: $o > $o).
% 162.50/24.46  thf(func_def_1673, type, sP1313: $o > $o).
% 162.50/24.46  thf(func_def_1674, type, sP1314: $o > $o).
% 162.50/24.46  thf(func_def_1675, type, sP1315: $o > $o).
% 162.50/24.46  thf(func_def_1676, type, sP1316: $o > $o).
% 162.50/24.46  thf(func_def_1677, type, sP1317: $o > $o).
% 162.50/24.46  thf(func_def_1678, type, sP1318: $o > $o).
% 162.50/24.46  thf(func_def_1679, type, sP1319: $o > $o).
% 162.50/24.46  thf(func_def_1680, type, sP1320: $o > $o).
% 162.50/24.46  thf(func_def_1681, type, sP1321: $o > $o).
% 162.50/24.46  thf(func_def_1682, type, sP1322: $o > $o).
% 162.50/24.46  thf(func_def_1683, type, sP1323: $o > $o).
% 162.50/24.46  thf(func_def_1684, type, sP1324: $o > $o).
% 162.50/24.46  thf(func_def_1685, type, sP1325: $o > $o).
% 162.50/24.46  thf(func_def_1686, type, sP1326: $o > $o).
% 162.50/24.46  thf(func_def_1687, type, sP1327: $o > $o).
% 162.50/24.46  thf(func_def_1688, type, sP1328: $i > $o).
% 162.50/24.46  thf(func_def_1689, type, sP1329: $o > $o).
% 162.50/24.46  thf(func_def_1690, type, sP1330: $o > $o).
% 162.50/24.46  thf(func_def_1691, type, sP1331: $o > $o).
% 162.50/24.46  thf(func_def_1692, type, sP1332: $o > $o).
% 162.50/24.46  thf(func_def_1693, type, sP1333: $o > $o).
% 162.50/24.46  thf(func_def_1694, type, sP1334: $o > $o).
% 162.50/24.46  thf(func_def_1695, type, sP1335: $o > $o).
% 162.50/24.46  thf(func_def_1696, type, sP1336: $i > $o).
% 162.50/24.46  thf(func_def_1697, type, sP1337: $i > $o).
% 162.50/24.46  thf(func_def_1698, type, sP1338: $o > $o).
% 162.50/24.46  thf(func_def_1699, type, sP1339: $o > $o).
% 162.50/24.46  thf(func_def_1700, type, sP1340: $o > $o).
% 162.50/24.46  thf(func_def_1701, type, sP1341: $o > $o).
% 162.50/24.46  thf(func_def_1702, type, sP1342: $o > $o).
% 162.50/24.46  thf(func_def_1703, type, sP1343: $o > $o).
% 162.50/24.46  thf(func_def_1704, type, sP1344: $o > $o).
% 162.50/24.46  thf(func_def_1705, type, sP1345: $o > $o).
% 162.50/24.46  thf(func_def_1706, type, sP1346: $o > $o).
% 162.50/24.46  thf(func_def_1707, type, sP1347: $o > $o).
% 162.50/24.46  thf(func_def_1708, type, sP1348: $o > $o).
% 162.50/24.46  thf(func_def_1709, type, sP1349: $o > $o).
% 162.50/24.46  thf(func_def_1710, type, sP1350: $o > $o).
% 162.50/24.46  thf(func_def_1711, type, sP1351: $o > $o).
% 162.50/24.46  thf(func_def_1712, type, sP1352: $o > $o).
% 162.50/24.46  thf(func_def_1713, type, sP1353: $o > $o).
% 162.50/24.46  thf(func_def_1714, type, sP1354: $o > $o).
% 162.50/24.46  thf(func_def_1715, type, sP1355: $o > $o).
% 162.50/24.46  thf(func_def_1716, type, sP1356: $o > $o).
% 162.50/24.46  thf(func_def_1717, type, sP1357: $o > $o).
% 162.50/24.46  thf(func_def_1718, type, sP1358: $o > $o).
% 162.50/24.46  thf(func_def_1719, type, sP1359: $o > $o).
% 162.50/24.46  thf(func_def_1720, type, sP1360: $o > $o).
% 162.50/24.46  thf(func_def_1721, type, sP1361: $o > $o).
% 162.50/24.46  thf(func_def_1722, type, sP1362: $o > $o).
% 162.50/24.46  thf(func_def_1723, type, sP1363: $o > $o).
% 162.50/24.46  thf(func_def_1724, type, sP1364: $o > $o).
% 162.50/24.46  thf(func_def_1725, type, sP1365: $o > $o).
% 162.50/24.46  thf(func_def_1726, type, sP1366: $o > $o).
% 162.50/24.46  thf(func_def_1727, type, sP1367: $o > $o).
% 162.50/24.46  thf(func_def_1728, type, sP1368: $o > $o).
% 162.50/24.46  thf(func_def_1729, type, sP1369: $o > $o).
% 162.50/24.46  thf(func_def_1730, type, sP1370: $o > $o).
% 162.50/24.46  thf(func_def_1731, type, sP1371: $o > $o).
% 162.50/24.46  thf(func_def_1732, type, sP1372: $o > $o).
% 162.50/24.46  thf(func_def_1733, type, sP1373: $o > $o).
% 162.50/24.46  thf(func_def_1734, type, sP1374: $o > $o).
% 162.50/24.46  thf(func_def_1735, type, sP1375: $o > $o).
% 162.50/24.46  thf(func_def_1736, type, sP1376: $o > $o).
% 162.50/24.46  thf(func_def_1737, type, sP1377: $o > $o).
% 162.50/24.46  thf(func_def_1738, type, sP1378: $o > $o).
% 162.50/24.46  thf(func_def_1739, type, sP1379: $o > $o).
% 162.50/24.46  thf(func_def_1740, type, sP1380: $o > $o).
% 162.50/24.46  thf(func_def_1741, type, sP1381: $o > $o).
% 162.50/24.46  thf(func_def_1742, type, sP1382: $o > $o).
% 162.50/24.46  thf(func_def_1743, type, sP1383: $o > $o).
% 162.50/24.46  thf(func_def_1744, type, sP1384: $o > $o).
% 162.50/24.46  thf(func_def_1745, type, sP1385: $o > $o).
% 162.50/24.46  thf(func_def_1746, type, sP1386: $o > $o).
% 162.50/24.46  thf(func_def_1747, type, sP1387: $o > $o).
% 162.50/24.46  thf(func_def_1748, type, sP1388: $o > $o).
% 162.50/24.46  thf(func_def_1749, type, sP1389: $o > $o).
% 162.50/24.46  thf(func_def_1750, type, sP1390: $o > $o).
% 162.50/24.46  thf(func_def_1751, type, sP1391: $o > $o).
% 162.50/24.46  thf(func_def_1752, type, sP1392: $o > $o).
% 162.50/24.46  thf(func_def_1753, type, sP1393: $o > $o).
% 162.50/24.46  thf(func_def_1754, type, sP1394: $o > $o).
% 162.50/24.46  thf(func_def_1755, type, sP1395: $o > $o).
% 162.50/24.46  thf(func_def_1756, type, sP1396: $o > $o).
% 162.50/24.46  thf(func_def_1757, type, sP1397: $o > $o).
% 162.50/24.46  thf(func_def_1758, type, sP1398: $o > $o).
% 162.50/24.46  thf(func_def_1759, type, sP1399: $o > $o).
% 162.50/24.46  thf(func_def_1760, type, sP1400: $o > $o).
% 162.50/24.46  thf(func_def_1761, type, sP1401: $o > $o).
% 162.50/24.46  thf(func_def_1762, type, sP1402: $o > $o).
% 162.50/24.46  thf(func_def_1763, type, sP1403: $o > $o).
% 162.50/24.46  thf(func_def_1764, type, sP1404: $o > $o).
% 162.50/24.46  thf(func_def_1765, type, sP1405: $o > $o).
% 162.50/24.46  thf(func_def_1766, type, sP1406: $o > $o).
% 162.50/24.46  thf(func_def_1767, type, sP1407: $o > $o).
% 162.50/24.46  thf(func_def_1768, type, sP1408: $o > $o).
% 162.50/24.46  thf(func_def_1769, type, sP1409: $o > $o).
% 162.50/24.46  thf(func_def_1770, type, sP1410: $o > $o).
% 162.50/24.46  thf(func_def_1771, type, sP1411: $o > $o).
% 162.50/24.46  thf(func_def_1772, type, sP1412: $o > $o).
% 162.50/24.46  thf(func_def_1773, type, sP1413: $o > $o).
% 162.50/24.46  thf(func_def_1774, type, sP1414: $o > $o).
% 162.50/24.46  thf(func_def_1775, type, sP1415: $o > $o).
% 162.50/24.46  thf(func_def_1776, type, sP1416: $o > $o).
% 162.50/24.46  thf(func_def_1777, type, sP1417: $o > $o).
% 162.50/24.46  thf(func_def_1778, type, sP1418: $o > $o).
% 162.50/24.46  thf(func_def_1779, type, sP1419: $o > $o).
% 162.50/24.46  thf(func_def_1780, type, sP1420: $o > $o).
% 162.50/24.46  thf(func_def_1781, type, sP1421: $o > $o).
% 162.50/24.46  thf(func_def_1782, type, sP1422: $o > $o).
% 162.50/24.46  thf(func_def_1783, type, sP1423: $o > $o).
% 162.50/24.46  thf(func_def_1784, type, sP1424: $o > $o).
% 162.50/24.46  thf(func_def_1785, type, sP1425: $o > $o).
% 162.50/24.46  thf(func_def_1786, type, sP1426: $o > $o).
% 162.50/24.46  thf(func_def_1787, type, sP1427: $o > $o).
% 162.50/24.46  thf(func_def_1788, type, sP1428: $o > $o).
% 162.50/24.46  thf(func_def_1789, type, sP1429: $o > $o).
% 162.50/24.46  thf(func_def_1790, type, sP1430: $o > $o).
% 162.50/24.46  thf(func_def_1791, type, sP1431: $o > $o).
% 162.50/24.46  thf(func_def_1792, type, sP1432: $o > $o).
% 162.50/24.46  thf(func_def_1793, type, sP1433: $o > $o).
% 162.50/24.46  thf(func_def_1794, type, sP1434: $o > $o).
% 162.50/24.46  thf(func_def_1795, type, sP1435: $o > $o).
% 162.50/24.46  thf(func_def_1796, type, sP1436: $o > $o).
% 162.50/24.46  thf(func_def_1797, type, sP1437: $o > $o).
% 162.50/24.46  thf(func_def_1798, type, sP1438: $o > $o).
% 162.50/24.46  thf(func_def_1799, type, sP1439: $o > $o).
% 162.50/24.46  thf(func_def_1800, type, sP1440: $o > $o).
% 162.50/24.46  thf(func_def_1801, type, sP1441: $o > $o).
% 162.50/24.46  thf(func_def_1802, type, sP1442: $o > $o).
% 162.50/24.46  thf(func_def_1803, type, sP1443: $o > $o).
% 162.50/24.46  thf(func_def_1804, type, sP1444: $o > $o).
% 162.50/24.46  thf(func_def_1805, type, sP1445: $o > $o).
% 162.50/24.46  thf(func_def_1806, type, sP1446: $o > $o).
% 162.50/24.46  thf(func_def_1807, type, sP1447: $o > $o).
% 162.50/24.46  thf(func_def_1808, type, sP1448: $o > $o).
% 162.50/24.46  thf(func_def_1809, type, sP1449: $o > $o).
% 162.50/24.46  thf(func_def_1810, type, sP1450: $o > $o).
% 162.50/24.46  thf(func_def_1811, type, sP1451: $o > $o).
% 162.50/24.46  thf(func_def_1812, type, sP1452: $o > $o).
% 162.50/24.46  thf(func_def_1813, type, sP1453: $o > $o).
% 162.50/24.46  thf(func_def_1814, type, sP1454: $o > $o).
% 162.50/24.46  thf(func_def_1815, type, sP1455: $o > $o).
% 162.50/24.46  thf(func_def_1816, type, sP1456: $o > $o).
% 162.50/24.46  thf(func_def_1817, type, sP1457: $o > $o).
% 162.50/24.46  thf(func_def_1818, type, sP1458: $o > $o).
% 162.50/24.46  thf(func_def_1819, type, sP1459: $i > $o).
% 162.50/24.46  thf(func_def_1820, type, sP1460: $o > $o).
% 162.50/24.46  thf(func_def_1821, type, sP1461: $o > $o).
% 162.50/24.46  thf(func_def_1822, type, sP1462: $o > $o).
% 162.50/24.46  thf(func_def_1823, type, sP1463: $o > $o).
% 162.50/24.46  thf(func_def_1824, type, sP1464: $o > $o).
% 162.50/24.46  thf(func_def_1825, type, sP1465: $o > $o).
% 162.50/24.46  thf(func_def_1826, type, sP1466: $o > $o).
% 162.50/24.46  thf(func_def_1827, type, sP1467: $o > $o).
% 162.50/24.46  thf(func_def_1828, type, sP1468: $o > $o).
% 162.50/24.46  thf(func_def_1829, type, sP1469: $o > $o).
% 162.50/24.46  thf(func_def_1830, type, sP1470: $o > $o).
% 162.50/24.46  thf(func_def_1831, type, sP1471: $o > $o).
% 162.50/24.46  thf(func_def_1832, type, sP1472: $o > $o).
% 162.50/24.46  thf(func_def_1833, type, sP1473: $o > $o).
% 162.50/24.46  thf(func_def_1834, type, sP1474: $o > $o).
% 162.50/24.46  thf(func_def_1835, type, sP1475: $o > $o).
% 162.50/24.46  thf(func_def_1836, type, sP1476: $o > $o).
% 162.50/24.46  thf(func_def_1837, type, sP1477: $o > $o).
% 162.50/24.46  thf(func_def_1838, type, sP1478: $o > $o).
% 162.50/24.46  thf(func_def_1839, type, sP1479: $o > $o).
% 162.50/24.46  thf(func_def_1840, type, sP1480: $o > $o).
% 162.50/24.46  thf(func_def_1841, type, sP1481: $o > $o).
% 162.50/24.46  thf(func_def_1842, type, sP1482: $o > $o).
% 162.50/24.46  thf(func_def_1843, type, sP1483: $o > $o).
% 162.50/24.46  thf(func_def_1844, type, sP1484: $o > $o).
% 162.50/24.46  thf(func_def_1845, type, sP1485: $o > $o).
% 162.50/24.46  thf(func_def_1846, type, sP1486: $o > $o).
% 162.50/24.46  thf(func_def_1847, type, sP1487: $i > $o).
% 162.50/24.46  thf(func_def_1848, type, sP1488: $o > $o).
% 162.50/24.46  thf(func_def_1849, type, sP1489: $o > $o).
% 162.50/24.46  thf(func_def_1850, type, sP1490: $o > $o).
% 162.50/24.46  thf(func_def_1851, type, sP1491: $o > $o).
% 162.50/24.46  thf(func_def_1852, type, sP1492: $o > $o).
% 162.50/24.46  thf(func_def_1853, type, sP1493: $o > $o).
% 162.50/24.46  thf(func_def_1854, type, sP1494: $o > $o).
% 162.50/24.46  thf(func_def_1855, type, sP1495: $o > $o).
% 162.50/24.46  thf(func_def_1856, type, sP1496: $o > $o).
% 162.50/24.46  thf(func_def_1857, type, sP1497: $o > $o).
% 162.50/24.46  thf(func_def_1858, type, sP1498: $o > $o).
% 162.50/24.46  thf(func_def_1859, type, sP1499: $o > $o).
% 162.50/24.46  thf(func_def_1860, type, sP1500: $o > $o).
% 162.50/24.46  thf(func_def_1861, type, sP1501: $o > $o).
% 162.50/24.46  thf(func_def_1862, type, sP1502: $o > $o).
% 162.50/24.46  thf(func_def_1863, type, sP1503: $o > $o).
% 162.50/24.46  thf(func_def_1864, type, sP1504: $i > $o).
% 162.50/24.46  thf(func_def_1865, type, sP1505: $o > $o).
% 162.50/24.46  thf(func_def_1866, type, sP1506: $o > $o).
% 162.50/24.46  thf(func_def_1867, type, sP1507: $i > $o).
% 162.50/24.46  thf(func_def_1868, type, sP1508: $o > $o).
% 162.50/24.46  thf(func_def_1869, type, sP1509: $o > $o).
% 162.50/24.46  thf(func_def_1870, type, sP1510: $o > $o).
% 162.50/24.46  thf(func_def_1871, type, sP1511: $o > $o).
% 162.50/24.46  thf(func_def_1872, type, sP1512: $o > $o).
% 162.50/24.46  thf(func_def_1873, type, sP1513: $o > $o).
% 162.50/24.46  thf(func_def_1874, type, sP1514: $o > $o).
% 162.50/24.46  thf(func_def_1875, type, sP1515: $o > $o).
% 162.50/24.46  thf(func_def_1876, type, sP1516: $o > $o).
% 162.50/24.46  thf(func_def_1877, type, sP1517: $o > $o).
% 162.50/24.46  thf(func_def_1878, type, sP1518: $o > $o).
% 162.50/24.46  thf(func_def_1879, type, sP1519: $o > $o).
% 162.50/24.46  thf(func_def_1880, type, sP1520: $o > $o).
% 162.50/24.46  thf(func_def_1881, type, sP1521: $o > $o).
% 162.50/24.46  thf(func_def_1882, type, sP1522: $i > $o).
% 162.50/24.46  thf(func_def_1883, type, sP1523: $i > $o).
% 162.50/24.46  thf(func_def_1884, type, sP1524: $o > $o).
% 162.50/24.46  thf(func_def_1885, type, sP1525: $o > $o).
% 162.50/24.46  thf(func_def_1886, type, sP1526: $o > $o).
% 162.50/24.46  thf(func_def_1887, type, sP1527: $o > $o).
% 162.50/24.46  thf(func_def_1888, type, sP1528: $o > $o).
% 162.50/24.46  thf(func_def_1889, type, sP1529: $o > $o).
% 162.50/24.46  thf(func_def_1890, type, sP1530: $o > $o).
% 162.50/24.46  thf(func_def_1891, type, sP1531: $i > $o).
% 162.50/24.46  thf(func_def_1892, type, sP1532: $o > $o).
% 162.50/24.46  thf(func_def_1893, type, sP1533: $o > $o).
% 162.50/24.46  thf(func_def_1894, type, sP1534: $o > $o).
% 162.50/24.46  thf(func_def_1895, type, sP1535: $o > $o).
% 162.50/24.46  thf(func_def_1896, type, sP1536: $o > $o).
% 162.50/24.46  thf(func_def_1897, type, sP1537: $o > $o).
% 162.50/24.46  thf(func_def_1898, type, sP1538: $o > $o).
% 162.50/24.46  thf(func_def_1899, type, sP1539: $o > $o).
% 162.50/24.46  thf(func_def_1900, type, sP1540: $o > $o).
% 162.50/24.46  thf(func_def_1901, type, sP1541: $o > $o).
% 162.50/24.46  thf(func_def_1902, type, sP1542: $o > $o).
% 162.50/24.46  thf(func_def_1903, type, sP1543: $o > $o).
% 162.50/24.46  thf(func_def_1904, type, sP1544: $o > $o).
% 162.50/24.46  thf(func_def_1905, type, sP1545: $o > $o).
% 162.50/24.46  thf(func_def_1906, type, sP1546: $o > $o).
% 162.50/24.46  thf(func_def_1907, type, sP1547: $o > $o).
% 162.50/24.46  thf(func_def_1908, type, sP1548: $o > $o).
% 162.50/24.46  thf(func_def_1909, type, sP1549: $o > $o).
% 162.50/24.46  thf(func_def_1910, type, sP1550: $o > $o).
% 162.50/24.46  thf(func_def_1911, type, sP1551: $o > $o).
% 162.50/24.46  thf(func_def_1912, type, sP1552: $o > $o).
% 162.50/24.46  thf(func_def_1913, type, sP1553: $o > $o).
% 162.50/24.46  thf(func_def_1914, type, sP1554: $o > $o).
% 162.50/24.46  thf(func_def_1915, type, sP1555: $o > $o).
% 162.50/24.46  thf(func_def_1916, type, sP1556: $o > $o).
% 162.50/24.46  thf(func_def_1917, type, sP1557: $o > $o).
% 162.50/24.46  thf(func_def_1918, type, sP1558: $o > $o).
% 162.50/24.46  thf(func_def_1919, type, sP1559: $o > $o).
% 162.50/24.46  thf(func_def_1920, type, sP1560: $o > $o).
% 162.50/24.46  thf(func_def_1921, type, sP1561: $o > $o).
% 162.50/24.46  thf(func_def_1922, type, sP1562: $o > $o).
% 162.50/24.46  thf(func_def_1923, type, sP1563: $o > $o).
% 162.50/24.46  thf(func_def_1924, type, sP1564: $o > $o).
% 162.50/24.46  thf(func_def_1925, type, sP1565: $o > $o).
% 162.50/24.46  thf(func_def_1926, type, sP1566: $o > $o).
% 162.50/24.46  thf(func_def_1927, type, sP1567: $o > $o).
% 162.50/24.46  thf(func_def_1928, type, sP1568: $o > $o).
% 162.50/24.46  thf(func_def_1929, type, sP1569: $o > $o).
% 162.50/24.46  thf(func_def_1930, type, sP1570: $o > $o).
% 162.50/24.46  thf(func_def_1931, type, sP1571: $o > $o).
% 162.50/24.46  thf(func_def_1932, type, sP1572: $o > $o).
% 162.50/24.46  thf(func_def_1933, type, sP1573: $o > $o).
% 162.50/24.46  thf(func_def_1934, type, sP1574: $o > $o).
% 162.50/24.46  thf(func_def_1935, type, sP1575: $o > $o).
% 162.50/24.46  thf(func_def_1936, type, sP1576: $o > $o).
% 162.50/24.46  thf(func_def_1937, type, sP1577: $o > $o).
% 162.50/24.46  thf(func_def_1938, type, sP1578: $o > $o).
% 162.50/24.46  thf(func_def_1939, type, sP1579: $o > $o).
% 162.50/24.46  thf(func_def_1940, type, sP1580: $o > $o).
% 162.50/24.46  thf(func_def_1941, type, sP1581: $o > $o).
% 162.50/24.46  thf(func_def_1942, type, sP1582: $o > $o).
% 162.50/24.46  thf(func_def_1943, type, sP1583: $o > $o).
% 162.50/24.46  thf(func_def_1944, type, sP1584: $i > $o).
% 162.50/24.46  thf(func_def_1945, type, sP1585: $o > $o).
% 162.50/24.46  thf(func_def_1946, type, sP1586: $o > $o).
% 162.50/24.46  thf(func_def_1947, type, sP1587: $o > $o).
% 162.50/24.46  thf(func_def_1948, type, sP1588: $o > $o).
% 162.50/24.46  thf(func_def_1949, type, sP1589: $o > $o).
% 162.50/24.46  thf(func_def_1950, type, sP1590: $o > $o).
% 162.50/24.46  thf(func_def_1951, type, sP1591: $o > $o).
% 162.50/24.46  thf(func_def_1952, type, sP1592: $o > $o).
% 162.50/24.46  thf(func_def_1953, type, sP1593: $o > $o).
% 162.50/24.46  thf(func_def_1954, type, sP1594: $o > $o).
% 162.50/24.46  thf(func_def_1955, type, sP1595: $o > $o).
% 162.50/24.46  thf(func_def_1956, type, sP1596: $o > $o).
% 162.50/24.46  thf(func_def_1957, type, sP1597: $o > $o).
% 162.50/24.46  thf(func_def_1958, type, sP1598: $o > $o).
% 162.50/24.46  thf(func_def_1959, type, sP1599: $o > $o).
% 162.50/24.46  thf(func_def_1960, type, sP1600: $o > $o).
% 162.50/24.46  thf(func_def_1961, type, sP1601: $o > $o).
% 162.50/24.46  thf(func_def_1962, type, sP1602: $o > $o).
% 162.50/24.46  thf(func_def_1963, type, sP1603: $o > $o).
% 162.50/24.46  thf(func_def_1964, type, sP1604: $i > $o).
% 162.50/24.46  thf(func_def_1965, type, sP1605: $o > $o).
% 162.50/24.46  thf(func_def_1966, type, sP1606: $o > $o).
% 162.50/24.46  thf(func_def_1967, type, sP1607: $o > $o).
% 162.50/24.46  thf(func_def_1968, type, sP1608: $o > $o).
% 162.50/24.46  thf(func_def_1969, type, sP1609: $o > $o).
% 162.50/24.46  thf(func_def_1970, type, sP1610: $o > $o).
% 162.50/24.46  thf(func_def_1971, type, sP1611: $o > $o).
% 162.50/24.46  thf(func_def_1972, type, sP1612: $o > $o).
% 162.50/24.46  thf(func_def_1973, type, sP1613: $o > $o).
% 162.50/24.46  thf(func_def_1974, type, sP1614: $o > $o).
% 162.50/24.46  thf(func_def_1975, type, sP1615: $o > $o).
% 162.50/24.46  thf(func_def_1976, type, sP1616: $o > $o).
% 162.50/24.46  thf(func_def_1977, type, sP1617: $o > $o).
% 162.50/24.46  thf(func_def_1978, type, sP1618: $o > $o).
% 162.50/24.46  thf(func_def_1979, type, sP1619: $o > $o).
% 162.50/24.46  thf(func_def_1980, type, sP1620: $o > $o).
% 162.50/24.46  thf(func_def_1981, type, sP1621: $o > $o).
% 162.50/24.46  thf(func_def_1982, type, sP1622: $o > $o).
% 162.50/24.46  thf(func_def_1983, type, sP1623: $o > $o).
% 162.50/24.46  thf(func_def_1984, type, sP1624: $o > $o).
% 162.50/24.46  thf(func_def_1985, type, sP1625: $o > $o).
% 162.50/24.46  thf(func_def_1986, type, sP1626: $o > $o).
% 162.50/24.46  thf(func_def_1987, type, sP1627: $o > $o).
% 162.50/24.46  thf(func_def_1988, type, sP1628: $o > $o).
% 162.50/24.46  thf(func_def_1989, type, sP1629: $o > $o).
% 162.50/24.46  thf(func_def_1990, type, sP1630: $o > $o).
% 162.50/24.46  thf(func_def_1991, type, sP1631: $o > $o).
% 162.50/24.46  thf(func_def_1992, type, sP1632: $o > $o).
% 162.50/24.46  thf(func_def_1993, type, sP1633: $o > $o).
% 162.50/24.46  thf(func_def_1994, type, sP1634: $o > $o).
% 162.50/24.46  thf(func_def_1995, type, sP1635: $o > $o).
% 162.50/24.46  thf(func_def_1996, type, sP1636: $o > $o).
% 162.50/24.46  thf(func_def_1997, type, sP1637: $o > $o).
% 162.50/24.46  thf(func_def_1998, type, sP1638: $o > $o).
% 162.50/24.46  thf(func_def_1999, type, sP1639: $o > $o).
% 162.50/24.46  thf(func_def_2000, type, sP1640: $o > $o).
% 162.50/24.46  thf(func_def_2001, type, sP1641: $o > $o).
% 162.50/24.46  thf(func_def_2002, type, sP1642: $o > $o).
% 162.50/24.46  thf(func_def_2003, type, sP1643: $o > $o).
% 162.50/24.46  thf(func_def_2004, type, sP1644: $o > $o).
% 162.50/24.46  thf(func_def_2005, type, sP1645: $o > $o).
% 162.50/24.46  thf(func_def_2006, type, sP1646: $i > $o).
% 162.50/24.46  thf(func_def_2007, type, sP1647: $o > $o).
% 162.50/24.46  thf(func_def_2008, type, sP1648: $o > $o).
% 162.50/24.46  thf(func_def_2009, type, sP1649: $o > $o).
% 162.50/24.46  thf(func_def_2010, type, sP1650: $o > $o).
% 162.50/24.46  thf(func_def_2011, type, sP1651: $o > $o).
% 162.50/24.46  thf(func_def_2012, type, sP1652: $o > $o).
% 162.50/24.46  thf(func_def_2013, type, sP1653: $o > $o).
% 162.50/24.46  thf(func_def_2014, type, sP1654: $o > $o).
% 162.50/24.46  thf(func_def_2015, type, sP1655: $o > $o).
% 162.50/24.46  thf(func_def_2016, type, sP1656: $o > $o).
% 162.50/24.46  thf(func_def_2017, type, sP1657: $o > $o).
% 162.50/24.46  thf(func_def_2018, type, sP1658: $o > $o).
% 162.50/24.46  thf(func_def_2019, type, sP1659: $o > $o).
% 162.50/24.46  thf(func_def_2020, type, sP1660: $o > $o).
% 162.50/24.46  thf(func_def_2021, type, sP1661: $o > $o).
% 162.50/24.46  thf(func_def_2022, type, sP1662: $o > $o).
% 162.50/24.46  thf(func_def_2023, type, sP1663: $o > $o).
% 162.50/24.46  thf(func_def_2024, type, sP1664: $o > $o).
% 162.50/24.46  thf(func_def_2025, type, sP1665: $o > $o).
% 162.50/24.46  thf(func_def_2026, type, sP1666: $o > $o).
% 162.50/24.46  thf(func_def_2027, type, sP1667: $o > $o).
% 162.50/24.46  thf(func_def_2028, type, sP1668: $o > $o).
% 162.50/24.46  thf(func_def_2029, type, sP1669: $o > $o).
% 162.50/24.46  thf(func_def_2030, type, sP1670: $o > $o).
% 162.50/24.46  thf(func_def_2031, type, sP1671: $o > $o).
% 162.50/24.46  thf(func_def_2032, type, sP1672: $o > $o).
% 162.50/24.46  thf(func_def_2033, type, sP1673: $o > $o).
% 162.50/24.46  thf(func_def_2034, type, sP1674: $o > $o).
% 162.50/24.46  thf(func_def_2035, type, sP1675: $o > $o).
% 162.50/24.46  thf(func_def_2036, type, sP1676: $o > $o).
% 162.50/24.46  thf(func_def_2037, type, sP1677: $o > $o).
% 162.50/24.46  thf(func_def_2038, type, sP1678: $o > $o).
% 162.50/24.46  thf(func_def_2039, type, sP1679: $o > $o).
% 162.50/24.46  thf(func_def_2040, type, sP1680: $o > $o).
% 162.50/24.46  thf(func_def_2041, type, sP1681: $o > $o).
% 162.50/24.46  thf(func_def_2042, type, sP1682: $o > $o).
% 162.50/24.46  thf(func_def_2043, type, sP1683: $o > $o).
% 162.50/24.46  thf(func_def_2044, type, sP1684: $o > $o).
% 162.50/24.46  thf(func_def_2045, type, sP1685: $o > $o).
% 162.50/24.46  thf(func_def_2046, type, sP1686: $o > $o).
% 162.50/24.46  thf(func_def_2047, type, sP1687: $o > $o).
% 162.50/24.46  thf(func_def_2048, type, sP1688: $o > $o).
% 162.50/24.46  thf(func_def_2049, type, sP1689: $o > $o).
% 162.50/24.46  thf(func_def_2050, type, sP1690: $o > $o).
% 162.50/24.46  thf(func_def_2051, type, sP1691: $o > $o).
% 162.50/24.46  thf(func_def_2052, type, sP1692: $o > $o).
% 162.50/24.46  thf(func_def_2053, type, sP1693: $o > $o).
% 162.50/24.46  thf(func_def_2054, type, sP1694: $o > $o).
% 162.50/24.46  thf(func_def_2055, type, sP1695: $o > $o).
% 162.50/24.46  thf(func_def_2056, type, sP1696: $i > $o).
% 162.50/24.46  thf(func_def_2057, type, sP1697: $o > $o).
% 162.50/24.46  thf(func_def_2058, type, sP1698: $o > $o).
% 162.50/24.46  thf(func_def_2059, type, sP1699: $o > $o).
% 162.50/24.46  thf(func_def_2060, type, sP1700: $o > $o).
% 162.50/24.46  thf(func_def_2061, type, sP1701: $o > $o).
% 162.50/24.46  thf(func_def_2062, type, sP1702: $o > $o).
% 162.50/24.46  thf(func_def_2063, type, sP1703: $o > $o).
% 162.50/24.46  thf(func_def_2064, type, sP1704: $o > $o).
% 162.50/24.46  thf(func_def_2065, type, sP1705: $o > $o).
% 162.50/24.46  thf(func_def_2066, type, sP1706: $o > $o).
% 162.50/24.46  thf(func_def_2067, type, sP1707: $o > $o).
% 162.50/24.46  thf(func_def_2068, type, sP1708: $o > $o).
% 162.50/24.46  thf(func_def_2069, type, sP1709: $o > $o).
% 162.50/24.46  thf(func_def_2070, type, sP1710: $o > $o).
% 162.50/24.46  thf(func_def_2071, type, sP1711: $o > $o).
% 162.50/24.46  thf(func_def_2072, type, sP1712: $o > $o).
% 162.50/24.46  thf(func_def_2073, type, sP1713: $o > $o).
% 162.50/24.46  thf(func_def_2074, type, sP1714: $o > $o).
% 162.50/24.46  thf(func_def_2075, type, sP1715: $o > $o).
% 162.50/24.46  thf(func_def_2076, type, sP1716: $o > $o).
% 162.50/24.46  thf(func_def_2077, type, sP1717: $o > $o).
% 162.50/24.46  thf(func_def_2078, type, sP1718: $o > $o).
% 162.50/24.46  thf(func_def_2079, type, sP1719: $o > $o).
% 162.50/24.46  thf(func_def_2080, type, sP1720: $o > $o).
% 162.50/24.46  thf(func_def_2081, type, sP1721: $o > $o).
% 162.50/24.46  thf(func_def_2082, type, sP1722: $o > $o).
% 162.50/24.46  thf(func_def_2083, type, sP1723: $o > $o).
% 162.50/24.46  thf(func_def_2084, type, sP1724: $o > $o).
% 162.50/24.46  thf(func_def_2085, type, sP1725: $o > $o).
% 162.50/24.46  thf(func_def_2086, type, sP1726: $i > $o).
% 162.50/24.46  thf(func_def_2087, type, sP1727: $o > $o).
% 162.50/24.46  thf(func_def_2088, type, sP1728: $o > $o).
% 162.50/24.46  thf(func_def_2089, type, sP1729: $o > $o).
% 162.50/24.46  thf(func_def_2090, type, sP1730: $o > $o).
% 162.50/24.46  thf(func_def_2091, type, sP1731: $o > $o).
% 162.50/24.46  thf(func_def_2092, type, sP1732: $o > $o).
% 162.50/24.46  thf(func_def_2093, type, sP1733: $o > $o).
% 162.50/24.46  thf(func_def_2094, type, sP1734: $o > $o).
% 162.50/24.46  thf(func_def_2095, type, sP1735: $o > $o).
% 162.50/24.46  thf(func_def_2096, type, sP1736: $o > $o).
% 162.50/24.46  thf(func_def_2097, type, sP1737: $o > $o).
% 162.50/24.46  thf(func_def_2098, type, sP1738: $o > $o).
% 162.50/24.46  thf(func_def_2099, type, sP1739: $o > $o).
% 162.50/24.46  thf(func_def_2100, type, sP1740: $o > $o).
% 162.50/24.46  thf(func_def_2101, type, sP1741: $o > $o).
% 162.50/24.46  thf(func_def_2102, type, sP1742: $o > $o).
% 162.50/24.46  thf(func_def_2103, type, sP1743: $o > $o).
% 162.50/24.46  thf(func_def_2104, type, sP1744: $o > $o).
% 162.50/24.46  thf(func_def_2105, type, sP1745: $o > $o).
% 162.50/24.46  thf(func_def_2106, type, sP1746: $o > $o).
% 162.50/24.46  thf(func_def_2107, type, sP1747: $o > $o).
% 162.50/24.46  thf(func_def_2108, type, sP1748: $o > $o).
% 162.50/24.46  thf(func_def_2109, type, sP1749: $o > $o).
% 162.50/24.46  thf(func_def_2110, type, sP1750: $o > $o).
% 162.50/24.46  thf(func_def_2111, type, sP1751: $o > $o).
% 162.50/24.46  thf(func_def_2112, type, sP1752: $o > $o).
% 162.50/24.46  thf(func_def_2113, type, sP1753: $o > $o).
% 162.50/24.46  thf(func_def_2114, type, sP1754: $o > $o).
% 162.50/24.46  thf(func_def_2115, type, sP1755: $o > $o).
% 162.50/24.46  thf(func_def_2116, type, sP1756: $o > $o).
% 162.50/24.46  thf(func_def_2117, type, sP1757: $o > $o).
% 162.50/24.46  thf(func_def_2118, type, sP1758: $o > $o).
% 162.50/24.46  thf(func_def_2119, type, sP1759: $o > $o).
% 162.50/24.46  thf(func_def_2120, type, sP1760: $o > $o).
% 162.50/24.46  thf(func_def_2121, type, sP1761: $o > $o).
% 162.50/24.46  thf(func_def_2122, type, sP1762: $o > $o).
% 162.50/24.46  thf(func_def_2123, type, sP1763: $o > $o).
% 162.50/24.46  thf(func_def_2124, type, sP1764: $o > $o).
% 162.50/24.46  thf(func_def_2125, type, sP1765: $o > $o).
% 162.50/24.46  thf(func_def_2126, type, sP1766: $o > $o).
% 162.50/24.46  thf(func_def_2127, type, sP1767: $o > $o).
% 162.50/24.46  thf(func_def_2128, type, sP1768: $o > $o).
% 162.50/24.46  thf(func_def_2129, type, sP1769: $o > $o).
% 162.50/24.46  thf(func_def_2130, type, sP1770: $o > $o).
% 162.50/24.46  thf(func_def_2131, type, sP1771: $i > $o).
% 162.50/24.46  thf(func_def_2132, type, sP1772: $o > $o).
% 162.50/24.46  thf(func_def_2133, type, sP1773: $o > $o).
% 162.50/24.46  thf(func_def_2134, type, sP1774: $o > $o).
% 162.50/24.46  thf(func_def_2135, type, sP1775: $o > $o).
% 162.50/24.46  thf(func_def_2136, type, sP1776: $o > $o).
% 162.50/24.46  thf(func_def_2137, type, sP1777: $o > $o).
% 162.50/24.46  thf(func_def_2138, type, sP1778: $o > $o).
% 162.50/24.46  thf(func_def_2139, type, sP1779: $o > $o).
% 162.50/24.46  thf(func_def_2140, type, sP1780: $o > $o).
% 162.50/24.46  thf(func_def_2141, type, sP1781: $o > $o).
% 162.50/24.46  thf(func_def_2142, type, sP1782: $o > $o).
% 162.50/24.46  thf(func_def_2143, type, sP1783: $i > $o).
% 162.50/24.46  thf(func_def_2144, type, sP1784: $o > $o).
% 162.50/24.46  thf(func_def_2145, type, sP1785: $o > $o).
% 162.50/24.46  thf(func_def_2146, type, sP1786: $o > $o).
% 162.50/24.46  thf(func_def_2147, type, sP1787: $o > $o).
% 162.50/24.46  thf(func_def_2148, type, sP1788: $o > $o).
% 162.50/24.46  thf(func_def_2149, type, sP1789: $o > $o).
% 162.50/24.46  thf(func_def_2150, type, sP1790: $o > $o).
% 162.50/24.46  thf(func_def_2151, type, sP1791: $o > $o).
% 162.50/24.46  thf(func_def_2152, type, sP1792: $o > $o).
% 162.50/24.46  thf(func_def_2153, type, sP1793: $o > $o).
% 162.50/24.46  thf(func_def_2154, type, sP1794: $o > $o).
% 162.50/24.46  thf(func_def_2155, type, sP1795: $o > $o).
% 162.50/24.46  thf(func_def_2156, type, sP1796: $o > $o).
% 162.50/24.46  thf(func_def_2157, type, sP1797: $o > $o).
% 162.50/24.46  thf(func_def_2158, type, sP1798: $o > $o).
% 162.50/24.46  thf(func_def_2159, type, sP1799: $o > $o).
% 162.50/24.46  thf(func_def_2160, type, sP1800: $o > $o).
% 162.50/24.46  thf(func_def_2161, type, sP1801: $o > $o).
% 162.50/24.46  thf(func_def_2162, type, sP1802: $o > $o).
% 162.50/24.46  thf(func_def_2163, type, sP1803: $o > $o).
% 162.50/24.46  thf(func_def_2164, type, sP1804: $o > $o).
% 162.50/24.46  thf(func_def_2165, type, sP1805: $o > $o).
% 162.50/24.46  thf(func_def_2166, type, sP1806: $o > $o).
% 162.50/24.46  thf(func_def_2167, type, sP1807: $o > $o).
% 162.50/24.46  thf(func_def_2168, type, sP1808: $o > $o).
% 162.50/24.46  thf(func_def_2169, type, sP1809: $o > $o).
% 162.50/24.46  thf(func_def_2170, type, sP1810: $o > $o).
% 162.50/24.46  thf(func_def_2171, type, sP1811: $o > $o).
% 162.50/24.46  thf(func_def_2172, type, sP1812: $o > $o).
% 162.50/24.46  thf(func_def_2173, type, sP1813: $o > $o).
% 162.50/24.46  thf(func_def_2174, type, sP1814: $o > $o).
% 162.50/24.46  thf(func_def_2175, type, sP1815: $o > $o).
% 162.50/24.46  thf(func_def_2176, type, sP1816: $o > $o).
% 162.50/24.46  thf(func_def_2177, type, sP1817: $o > $o).
% 162.50/24.46  thf(func_def_2178, type, sP1818: $o > $o).
% 162.50/24.46  thf(func_def_2179, type, sP1819: $i > $o).
% 162.50/24.46  thf(func_def_2180, type, sP1820: $o > $o).
% 162.50/24.46  thf(func_def_2181, type, sP1821: $o > $o).
% 162.50/24.46  thf(func_def_2182, type, sP1822: $o > $o).
% 162.50/24.46  thf(func_def_2183, type, sP1823: $o > $o).
% 162.50/24.46  thf(func_def_2184, type, sP1824: $o > $o).
% 162.50/24.46  thf(func_def_2185, type, sP1825: $o > $o).
% 162.50/24.46  thf(func_def_2186, type, sP1826: $o > $o).
% 162.50/24.46  thf(func_def_2187, type, sP1827: $i > $o).
% 162.50/24.46  thf(func_def_2188, type, sP1828: $o > $o).
% 162.50/24.46  thf(func_def_2189, type, sP1829: $o > $o).
% 162.50/24.46  thf(func_def_2190, type, sP1830: $o > $o).
% 162.50/24.46  thf(func_def_2191, type, sP1831: $o > $o).
% 162.50/24.46  thf(func_def_2192, type, sP1832: $o > $o).
% 162.50/24.46  thf(func_def_2193, type, sP1833: $o > $o).
% 162.50/24.46  thf(func_def_2194, type, sP1834: $o > $o).
% 162.50/24.46  thf(func_def_2195, type, sP1835: $o > $o).
% 162.50/24.46  thf(func_def_2196, type, sP1836: $o > $o).
% 162.50/24.46  thf(func_def_2197, type, sP1837: $o > $o).
% 162.50/24.46  thf(func_def_2198, type, sP1838: $o > $o).
% 162.50/24.46  thf(func_def_2199, type, sP1839: $i > $o).
% 162.50/24.46  thf(func_def_2200, type, sP1840: $o > $o).
% 162.50/24.46  thf(func_def_2201, type, sP1841: $o > $o).
% 162.50/24.46  thf(func_def_2202, type, sP1842: $o > $o).
% 162.50/24.46  thf(func_def_2203, type, sP1843: $o > $o).
% 162.50/24.46  thf(func_def_2204, type, sP1844: $o > $o).
% 162.50/24.46  thf(func_def_2205, type, sP1845: $o > $o).
% 162.50/24.46  thf(func_def_2206, type, sP1846: $o > $o).
% 162.50/24.46  thf(func_def_2207, type, sP1847: $o > $o).
% 162.50/24.46  thf(func_def_2208, type, sP1848: $o > $o).
% 162.50/24.46  thf(func_def_2209, type, sP1849: $o > $o).
% 162.50/24.46  thf(func_def_2210, type, sP1850: $o > $o).
% 162.50/24.46  thf(func_def_2211, type, sP1851: $o > $o).
% 162.50/24.46  thf(func_def_2212, type, sP1852: $o > $o).
% 162.50/24.46  thf(func_def_2213, type, sP1853: $o > $o).
% 162.50/24.46  thf(func_def_2214, type, sP1854: $o > $o).
% 162.50/24.46  thf(func_def_2215, type, sP1855: $o > $o).
% 162.50/24.46  thf(func_def_2216, type, sP1856: $o > $o).
% 162.50/24.46  thf(func_def_2217, type, sP1857: $o > $o).
% 162.50/24.46  thf(func_def_2218, type, sP1858: $o > $o).
% 162.50/24.46  thf(func_def_2219, type, sP1859: $o > $o).
% 162.50/24.46  thf(func_def_2220, type, sP1860: $o > $o).
% 162.50/24.46  thf(func_def_2221, type, sP1861: $o > $o).
% 162.50/24.46  thf(func_def_2222, type, sP1862: $o > $o).
% 162.50/24.46  thf(func_def_2223, type, sP1863: $o > $o).
% 162.50/24.46  thf(func_def_2224, type, sP1864: $o > $o).
% 162.50/24.46  thf(func_def_2225, type, sP1865: $o > $o).
% 162.50/24.46  thf(func_def_2226, type, sP1866: $o > $o).
% 162.50/24.46  thf(func_def_2227, type, sP1867: $o > $o).
% 162.50/24.46  thf(func_def_2228, type, sP1868: $o > $o).
% 162.50/24.46  thf(func_def_2229, type, sP1869: $o > $o).
% 162.50/24.46  thf(func_def_2230, type, sP1870: $o > $o).
% 162.50/24.46  thf(func_def_2231, type, sP1871: $o > $o).
% 162.50/24.46  thf(func_def_2232, type, sP1872: $o > $o).
% 162.50/24.46  thf(func_def_2233, type, sP1873: $o > $o).
% 162.50/24.46  thf(func_def_2234, type, sP1874: $o > $o).
% 162.50/24.46  thf(func_def_2235, type, sP1875: $o > $o).
% 162.50/24.46  thf(func_def_2236, type, sP1876: $o > $o).
% 162.50/24.46  thf(func_def_2237, type, sP1877: $o > $o).
% 162.50/24.46  thf(func_def_2238, type, sP1878: $o > $o).
% 162.50/24.46  thf(func_def_2239, type, sP1879: $o > $o).
% 162.50/24.46  thf(func_def_2240, type, sP1880: $o > $o).
% 162.50/24.46  thf(func_def_2241, type, sP1881: $o > $o).
% 162.50/24.46  thf(func_def_2242, type, sP1882: $o > $o).
% 162.50/24.46  thf(func_def_2243, type, sP1883: $o > $o).
% 162.50/24.46  thf(func_def_2244, type, sP1884: $o > $o).
% 162.50/24.46  thf(func_def_2245, type, sP1885: $o > $o).
% 162.50/24.46  thf(func_def_2246, type, sP1886: $o > $o).
% 162.50/24.46  thf(func_def_2247, type, sP1887: $o > $o).
% 162.50/24.46  thf(func_def_2248, type, sP1888: $o > $o).
% 162.50/24.46  thf(func_def_2249, type, sP1889: $i > $o).
% 162.50/24.46  thf(func_def_2250, type, sP1890: $o > $o).
% 162.50/24.46  thf(func_def_2251, type, sP1891: $o > $o).
% 162.50/24.46  thf(func_def_2252, type, sP1892: $o > $o).
% 162.50/24.46  thf(func_def_2253, type, sP1893: $o > $o).
% 162.50/24.46  thf(func_def_2254, type, sP1894: $o > $o).
% 162.50/24.46  thf(func_def_2255, type, sP1895: $o > $o).
% 162.50/24.46  thf(func_def_2256, type, sP1896: $o > $o).
% 162.50/24.46  thf(func_def_2257, type, sP1897: $o > $o).
% 162.50/24.46  thf(func_def_2258, type, sP1898: $o > $o).
% 162.50/24.46  thf(func_def_2259, type, sP1899: $o > $o).
% 162.50/24.46  thf(func_def_2260, type, sP1900: $o > $o).
% 162.50/24.46  thf(func_def_2261, type, sP1901: $o > $o).
% 162.50/24.46  thf(func_def_2262, type, sP1902: $o > $o).
% 162.50/24.46  thf(func_def_2263, type, sP1903: $o > $o).
% 162.50/24.46  thf(func_def_2264, type, sP1904: $o > $o).
% 162.50/24.46  thf(func_def_2265, type, sP1905: $o > $o).
% 162.50/24.46  thf(func_def_2266, type, sP1906: $o > $o).
% 162.50/24.46  thf(func_def_2267, type, sP1907: $o > $o).
% 162.50/24.46  thf(func_def_2268, type, sP1908: $o > $o).
% 162.50/24.46  thf(func_def_2269, type, sP1909: $o > $o).
% 162.50/24.46  thf(func_def_2270, type, sP1910: $o > $o).
% 162.50/24.46  thf(func_def_2271, type, sP1911: $o > $o).
% 162.50/24.46  thf(func_def_2272, type, sP1912: $o > $o).
% 162.50/24.46  thf(func_def_2273, type, sP1913: $o > $o).
% 162.50/24.46  thf(func_def_2274, type, sP1914: $o > $o).
% 162.50/24.46  thf(func_def_2275, type, sP1915: $o > $o).
% 162.50/24.46  thf(func_def_2276, type, sP1916: $o > $o).
% 162.50/24.46  thf(func_def_2277, type, sP1917: $o > $o).
% 162.50/24.46  thf(func_def_2278, type, sP1918: $o > $o).
% 162.50/24.46  thf(func_def_2279, type, sP1919: $o > $o).
% 162.50/24.46  thf(func_def_2280, type, sP1920: $o > $o).
% 162.50/24.46  thf(func_def_2281, type, sP1921: $o > $o).
% 162.50/24.46  thf(func_def_2282, type, sP1922: $o > $o).
% 162.50/24.46  thf(func_def_2283, type, sP1923: $o > $o).
% 162.50/24.46  thf(func_def_2284, type, sP1924: $o > $o).
% 162.50/24.46  thf(func_def_2285, type, sP1925: $o > $o).
% 162.50/24.46  thf(func_def_2286, type, sP1926: $o > $o).
% 162.50/24.46  thf(func_def_2287, type, sP1927: $o > $o).
% 162.50/24.46  thf(func_def_2288, type, sP1928: $o > $o).
% 162.50/24.46  thf(func_def_2289, type, sP1929: $o > $o).
% 162.50/24.46  thf(func_def_2290, type, sP1930: $o > $o).
% 162.50/24.46  thf(func_def_2291, type, sP1931: $o > $o).
% 162.50/24.46  thf(func_def_2292, type, sP1932: $i > $o).
% 162.50/24.46  thf(func_def_2293, type, sP1933: $o > $o).
% 162.50/24.46  thf(func_def_2294, type, sP1934: $o > $o).
% 162.50/24.46  thf(func_def_2295, type, sP1935: $o > $o).
% 162.50/24.46  thf(func_def_2296, type, sP1936: $o > $o).
% 162.50/24.46  thf(func_def_2297, type, sP1937: $o > $o).
% 162.50/24.46  thf(func_def_2298, type, sP1938: $o > $o).
% 162.50/24.46  thf(func_def_2299, type, sP1939: $i > $o).
% 162.50/24.46  thf(func_def_2300, type, sP1940: $o > $o).
% 162.50/24.46  thf(func_def_2301, type, sP1941: $o > $o).
% 162.50/24.46  thf(func_def_2302, type, sP1942: $o > $o).
% 162.50/24.46  thf(func_def_2303, type, sP1943: $o > $o).
% 162.50/24.46  thf(func_def_2304, type, sP1944: $o > $o).
% 162.50/24.46  thf(func_def_2305, type, sP1945: $o > $o).
% 162.50/24.46  thf(func_def_2306, type, sP1946: $o > $o).
% 162.50/24.46  thf(func_def_2307, type, sP1947: $o > $o).
% 162.50/24.46  thf(func_def_2308, type, sP1948: $o > $o).
% 162.50/24.46  thf(func_def_2309, type, sP1949: $o > $o).
% 162.50/24.46  thf(func_def_2310, type, sP1950: $o > $o).
% 162.50/24.46  thf(func_def_2311, type, sP1951: $i > $o).
% 162.50/24.46  thf(func_def_2312, type, sP1952: $o > $o).
% 162.50/24.46  thf(func_def_2313, type, sP1953: $o > $o).
% 162.50/24.46  thf(func_def_2314, type, sP1954: $o > $o).
% 162.50/24.46  thf(func_def_2315, type, sP1955: $o > $o).
% 162.50/24.46  thf(func_def_2316, type, sP1956: $o > $o).
% 162.50/24.46  thf(func_def_2317, type, sP1957: $o > $o).
% 162.50/24.46  thf(func_def_2318, type, sP1958: $i > $o).
% 162.50/24.46  thf(func_def_2319, type, sP1959: $o > $o).
% 162.50/24.46  thf(func_def_2320, type, sP1960: $o > $o).
% 162.50/24.46  thf(func_def_2321, type, sP1961: $o > $o).
% 162.50/24.46  thf(func_def_2322, type, sP1962: $o > $o).
% 162.50/24.46  thf(func_def_2323, type, sP1963: $o > $o).
% 162.50/24.46  thf(func_def_2324, type, sP1964: $o > $o).
% 162.50/24.46  thf(func_def_2325, type, sP1965: $o > $o).
% 162.50/24.46  thf(func_def_2326, type, sP1966: $o > $o).
% 162.50/24.46  thf(func_def_2327, type, sP1967: $o > $o).
% 162.50/24.46  thf(func_def_2328, type, sP1968: $o > $o).
% 162.50/24.46  thf(func_def_2329, type, sP1969: $o > $o).
% 162.50/24.46  thf(func_def_2330, type, sP1970: $o > $o).
% 162.50/24.46  thf(func_def_2331, type, sP1971: $i > $o).
% 162.50/24.46  thf(func_def_2332, type, sP1972: $o > $o).
% 162.50/24.46  thf(func_def_2333, type, sP1973: $o > $o).
% 162.50/24.46  thf(func_def_2334, type, sP1974: $o > $o).
% 162.50/24.46  thf(func_def_2335, type, sP1975: $o > $o).
% 162.50/24.46  thf(func_def_2336, type, sP1976: $o > $o).
% 162.50/24.46  thf(func_def_2337, type, sP1977: $i > $o).
% 162.50/24.46  thf(func_def_2338, type, sP1978: $o > $o).
% 162.50/24.46  thf(func_def_2339, type, sP1979: $o > $o).
% 162.50/24.46  thf(func_def_2340, type, sP1980: $o > $o).
% 162.50/24.46  thf(func_def_2341, type, sP1981: $o > $o).
% 162.50/24.46  thf(func_def_2342, type, sP1982: $o > $o).
% 162.50/24.46  thf(func_def_2343, type, sP1983: $o > $o).
% 162.50/24.46  thf(func_def_2344, type, sP1984: $o > $o).
% 162.50/24.46  thf(func_def_2345, type, sP1985: $o > $o).
% 162.50/24.46  thf(func_def_2346, type, sP1986: $o > $o).
% 162.50/24.46  thf(func_def_2347, type, sP1987: $o > $o).
% 162.50/24.46  thf(func_def_2348, type, sP1988: $o > $o).
% 162.50/24.46  thf(func_def_2349, type, sP1989: $o > $o).
% 162.50/24.46  thf(func_def_2350, type, sP1990: $o > $o).
% 162.50/24.46  thf(func_def_2351, type, sP1991: $o > $o).
% 162.50/24.46  thf(func_def_2352, type, sP1992: $o > $o).
% 162.50/24.46  thf(func_def_2353, type, sP1993: $o > $o).
% 162.50/24.46  thf(func_def_2354, type, sP1994: $o > $o).
% 162.50/24.46  thf(func_def_2355, type, sP1995: $o > $o).
% 162.50/24.46  thf(func_def_2356, type, sP1996: $o > $o).
% 162.50/24.46  thf(func_def_2357, type, sP1997: $o > $o).
% 162.50/24.46  thf(func_def_2358, type, sP1998: $o > $o).
% 162.50/24.46  thf(func_def_2359, type, sP1999: $o > $o).
% 162.50/24.46  thf(func_def_2360, type, sP2000: $o > $o).
% 162.50/24.46  thf(func_def_2361, type, sP2001: $o > $o).
% 162.50/24.46  thf(func_def_2362, type, sP2002: $o > $o).
% 162.50/24.46  thf(func_def_2363, type, sP2003: $o > $o).
% 162.50/24.46  thf(func_def_2364, type, sP2004: $o > $o).
% 162.50/24.46  thf(func_def_2365, type, sP2005: $i > $o).
% 162.50/24.46  thf(func_def_2366, type, sP2006: $o > $o).
% 162.50/24.46  thf(func_def_2367, type, sP2007: $o > $o).
% 162.50/24.46  thf(func_def_2368, type, sP2008: $o > $o).
% 162.50/24.46  thf(func_def_2369, type, sP2009: $o > $o).
% 162.50/24.46  thf(func_def_2370, type, sP2010: $o > $o).
% 162.50/24.46  thf(func_def_2371, type, sP2011: $o > $o).
% 162.50/24.46  thf(func_def_2372, type, sP2012: $o > $o).
% 162.50/24.46  thf(func_def_2373, type, sP2013: $i > $o).
% 162.50/24.46  thf(func_def_2374, type, sP2014: $o > $o).
% 162.50/24.46  thf(func_def_2375, type, sP2015: $o > $o).
% 162.50/24.46  thf(func_def_2376, type, sP2016: $o > $o).
% 162.50/24.46  thf(func_def_2377, type, sP2017: $o > $o).
% 162.50/24.46  thf(func_def_2378, type, sP2018: $o > $o).
% 162.50/24.46  thf(func_def_2379, type, sP2019: $o > $o).
% 162.50/24.46  thf(func_def_2380, type, sP2020: $o > $o).
% 162.50/24.46  thf(func_def_2381, type, sP2021: $o > $o).
% 162.50/24.46  thf(func_def_2382, type, sP2022: $o > $o).
% 162.50/24.46  thf(func_def_2383, type, sP2023: $o > $o).
% 162.50/24.46  thf(func_def_2384, type, sP2024: $o > $o).
% 162.50/24.46  thf(func_def_2385, type, sP2025: $o > $o).
% 162.50/24.46  thf(func_def_2386, type, sP2026: $o > $o).
% 162.50/24.46  thf(func_def_2387, type, sP2027: $o > $o).
% 162.50/24.46  thf(func_def_2388, type, sP2028: $o > $o).
% 162.50/24.46  thf(func_def_2389, type, sP2029: $o > $o).
% 162.50/24.46  thf(func_def_2390, type, sP2030: $o > $o).
% 162.50/24.46  thf(func_def_2391, type, sP2031: $o > $o).
% 162.50/24.46  thf(func_def_2392, type, sP2032: $o > $o).
% 162.50/24.46  thf(func_def_2393, type, sP2033: $o > $o).
% 162.50/24.46  thf(func_def_2394, type, sP2034: $o > $o).
% 162.50/24.46  thf(func_def_2395, type, sP2035: $o > $o).
% 162.50/24.46  thf(func_def_2396, type, sP2036: $o > $o).
% 162.50/24.46  thf(func_def_2397, type, sP2037: $o > $o).
% 162.50/24.46  thf(func_def_2398, type, sP2038: $o > $o).
% 162.50/24.46  thf(func_def_2399, type, sP2039: $o > $o).
% 162.50/24.46  thf(func_def_2400, type, sP2040: $i > $o).
% 162.50/24.46  thf(func_def_2401, type, sP2041: $o > $o).
% 162.50/24.46  thf(func_def_2402, type, sP2042: $o > $o).
% 162.50/24.46  thf(func_def_2403, type, sP2043: $o > $o).
% 162.50/24.46  thf(func_def_2404, type, sP2044: $o > $o).
% 162.50/24.46  thf(func_def_2405, type, sP2045: $o > $o).
% 162.50/24.46  thf(func_def_2406, type, sP2046: $o > $o).
% 162.50/24.46  thf(func_def_2407, type, sP2047: $o > $o).
% 162.50/24.46  thf(func_def_2408, type, sP2048: $o > $o).
% 162.50/24.46  thf(func_def_2409, type, sP2049: $o > $o).
% 162.50/24.46  thf(func_def_2410, type, sP2050: $o > $o).
% 162.50/24.46  thf(func_def_2411, type, sP2051: $o > $o).
% 162.50/24.46  thf(func_def_2412, type, sP2052: $o > $o).
% 162.50/24.46  thf(func_def_2413, type, sP2053: $o > $o).
% 162.50/24.46  thf(func_def_2414, type, sP2054: $o > $o).
% 162.50/24.46  thf(func_def_2415, type, sP2055: $o > $o).
% 162.50/24.46  thf(func_def_2416, type, sP2056: $o > $o).
% 162.50/24.46  thf(func_def_2417, type, sP2057: $o > $o).
% 162.50/24.46  thf(func_def_2418, type, sP2058: $o > $o).
% 162.50/24.46  thf(func_def_2419, type, sP2059: $o > $o).
% 162.50/24.46  thf(func_def_2420, type, sP2060: $o > $o).
% 162.50/24.46  thf(func_def_2421, type, sP2061: $o > $o).
% 162.50/24.46  thf(func_def_2422, type, sP2062: $o > $o).
% 162.50/24.46  thf(func_def_2423, type, sP2063: $o > $o).
% 162.50/24.46  thf(func_def_2424, type, sP2064: $o > $o).
% 162.50/24.46  thf(func_def_2425, type, sP2065: $o > $o).
% 162.50/24.46  thf(func_def_2426, type, sP2066: $o > $o).
% 162.50/24.46  thf(func_def_2427, type, sP2067: $o > $o).
% 162.50/24.46  thf(func_def_2428, type, sP2068: $i > $o).
% 162.50/24.46  thf(func_def_2429, type, sP2069: $o > $o).
% 162.50/24.46  thf(func_def_2430, type, sP2070: $o > $o).
% 162.50/24.46  thf(func_def_2431, type, sP2071: $o > $o).
% 162.50/24.46  thf(func_def_2432, type, sP2072: $o > $o).
% 162.50/24.46  thf(func_def_2433, type, sP2073: $i > $o).
% 162.50/24.46  thf(func_def_2434, type, sP2074: $o > $o).
% 162.50/24.46  thf(func_def_2435, type, sP2075: $o > $o).
% 162.50/24.46  thf(func_def_2436, type, sP2076: $o > $o).
% 162.50/24.46  thf(func_def_2437, type, sP2077: $o > $o).
% 162.50/24.46  thf(func_def_2438, type, sP2078: $o > $o).
% 162.50/24.46  thf(func_def_2439, type, sP2079: $o > $o).
% 162.50/24.46  thf(func_def_2440, type, sP2080: $o > $o).
% 162.50/24.46  thf(func_def_2441, type, sP2081: $o > $o).
% 162.50/24.46  thf(func_def_2442, type, sP2082: $o > $o).
% 162.50/24.46  thf(func_def_2443, type, sP2083: $o > $o).
% 162.50/24.46  thf(func_def_2444, type, sP2084: $o > $o).
% 162.50/24.46  thf(func_def_2445, type, sP2085: $o > $o).
% 162.50/24.46  thf(func_def_2446, type, sP2086: $o > $o).
% 162.50/24.46  thf(func_def_2447, type, sP2087: $o > $o).
% 162.50/24.46  thf(func_def_2448, type, sP2088: $o > $o).
% 162.50/24.46  thf(func_def_2449, type, sP2089: $o > $o).
% 162.50/24.46  thf(func_def_2450, type, sP2090: $o > $o).
% 162.50/24.46  thf(func_def_2451, type, sP2091: $o > $o).
% 162.50/24.46  thf(func_def_2452, type, sP2092: $o > $o).
% 162.50/24.46  thf(func_def_2453, type, sP2093: $o > $o).
% 162.50/24.46  thf(func_def_2454, type, sP2094: $o > $o).
% 162.50/24.46  thf(func_def_2455, type, sP2095: $o > $o).
% 162.50/24.46  thf(func_def_2456, type, sP2096: $o > $o).
% 162.50/24.46  thf(func_def_2457, type, sP2097: $o > $o).
% 162.50/24.46  thf(func_def_2458, type, sP2098: $o > $o).
% 162.50/24.46  thf(func_def_2459, type, sP2099: $o > $o).
% 162.50/24.46  thf(func_def_2460, type, sP2100: $o > $o).
% 162.50/24.46  thf(func_def_2461, type, sP2101: $o > $o).
% 162.50/24.46  thf(func_def_2462, type, sP2102: $i > $o).
% 162.50/24.46  thf(func_def_2463, type, sP2103: $o > $o).
% 162.50/24.46  thf(func_def_2464, type, sP2104: $o > $o).
% 162.50/24.46  thf(func_def_2465, type, sP2105: $o > $o).
% 162.50/24.46  thf(func_def_2466, type, sP2106: $o > $o).
% 162.50/24.46  thf(func_def_2467, type, sP2107: $o > $o).
% 162.50/24.46  thf(func_def_2468, type, sP2108: $o > $o).
% 162.50/24.46  thf(func_def_2469, type, sP2109: $i > $o).
% 162.50/24.46  thf(func_def_2470, type, sP2110: $o > $o).
% 162.50/24.46  thf(func_def_2471, type, sP2111: $o > $o).
% 162.50/24.46  thf(func_def_2472, type, sP2112: $o > $o).
% 162.50/24.46  thf(func_def_2473, type, sP2113: $o > $o).
% 162.50/24.46  thf(func_def_2474, type, sP2114: $o > $o).
% 162.50/24.46  thf(func_def_2475, type, sP2115: $o > $o).
% 162.50/24.46  thf(func_def_2476, type, sP2116: $o > $o).
% 162.50/24.46  thf(func_def_2477, type, sP2117: $o > $o).
% 162.50/24.46  thf(func_def_2478, type, sP2118: $o > $o).
% 162.50/24.46  thf(func_def_2479, type, sP2119: $o > $o).
% 162.50/24.46  thf(func_def_2480, type, sP2120: $o > $o).
% 162.50/24.46  thf(func_def_2481, type, sP2121: $o > $o).
% 162.50/24.46  thf(func_def_2482, type, sP2122: $o > $o).
% 162.50/24.46  thf(func_def_2483, type, sP2123: $o > $o).
% 162.50/24.46  thf(func_def_2484, type, sP2124: $o > $o).
% 162.50/24.46  thf(func_def_2485, type, sP2125: $o > $o).
% 162.50/24.46  thf(func_def_2486, type, sP2126: $o > $o).
% 162.50/24.46  thf(func_def_2487, type, sP2127: $o > $o).
% 162.50/24.46  thf(func_def_2488, type, sP2128: $o > $o).
% 162.50/24.46  thf(func_def_2489, type, sP2129: $o > $o).
% 162.50/24.46  thf(func_def_2490, type, sP2130: $o > $o).
% 162.50/24.46  thf(func_def_2491, type, sP2131: $o > $o).
% 162.50/24.46  thf(func_def_2492, type, sP2132: $o > $o).
% 162.50/24.46  thf(func_def_2493, type, sP2133: $o > $o).
% 162.50/24.46  thf(func_def_2494, type, sP2134: $o > $o).
% 162.50/24.46  thf(func_def_2495, type, sP2135: $o > $o).
% 162.50/24.46  thf(func_def_2496, type, sP2136: $o > $o).
% 162.50/24.46  thf(func_def_2497, type, sP2137: $o > $o).
% 162.50/24.46  thf(func_def_2498, type, sP2138: $i > $o).
% 162.50/24.46  thf(func_def_2499, type, sP2139: $o > $o).
% 162.50/24.46  thf(func_def_2500, type, sP2140: $o > $o).
% 162.50/24.46  thf(func_def_2501, type, sP2141: $o > $o).
% 162.50/24.46  thf(func_def_2502, type, sP2142: $o > $o).
% 162.50/24.46  thf(func_def_2503, type, sP2143: $o > $o).
% 162.50/24.46  thf(func_def_2504, type, sP2144: $o > $o).
% 162.50/24.46  thf(func_def_2505, type, sP2145: $o > $o).
% 162.50/24.46  thf(func_def_2506, type, sP2146: $o > $o).
% 162.50/24.46  thf(func_def_2507, type, sP2147: $o > $o).
% 162.50/24.46  thf(func_def_2508, type, sP2148: $o > $o).
% 162.50/24.46  thf(func_def_2509, type, sP2149: $o > $o).
% 162.50/24.46  thf(func_def_2510, type, sP2150: $o > $o).
% 162.50/24.46  thf(func_def_2511, type, sP2151: $o > $o).
% 162.50/24.46  thf(func_def_2512, type, sP2152: $o > $o).
% 162.50/24.46  thf(func_def_2513, type, sP2153: $o > $o).
% 162.50/24.46  thf(func_def_2514, type, sP2154: $o > $o).
% 162.50/24.46  thf(func_def_2515, type, sP2155: $o > $o).
% 162.50/24.46  thf(func_def_2516, type, sP2156: $o > $o).
% 162.50/24.46  thf(func_def_2517, type, sP2157: $o > $o).
% 162.50/24.46  thf(func_def_2518, type, sP2158: $o > $o).
% 162.50/24.46  thf(func_def_2519, type, sP2159: $o > $o).
% 162.50/24.46  thf(func_def_2520, type, sP2160: $o > $o).
% 162.50/24.46  thf(func_def_2521, type, sP2161: $o > $o).
% 162.50/24.46  thf(func_def_2522, type, sP2162: $o > $o).
% 162.50/24.46  thf(func_def_2523, type, sP2163: $o > $o).
% 162.50/24.46  thf(func_def_2524, type, sP2164: $o > $o).
% 162.50/24.46  thf(func_def_2525, type, sP2165: $o > $o).
% 162.50/24.46  thf(func_def_2526, type, sP2166: $o > $o).
% 162.50/24.46  thf(func_def_2527, type, sP2167: $o > $o).
% 162.50/24.46  thf(func_def_2528, type, sP2168: $o > $o).
% 162.50/24.46  thf(func_def_2529, type, sP2169: $o > $o).
% 162.50/24.46  thf(func_def_2530, type, sP2170: $i > $o).
% 162.50/24.46  thf(func_def_2531, type, sP2171: $o > $o).
% 162.50/24.46  thf(func_def_2532, type, sP2172: $o > $o).
% 162.50/24.46  thf(func_def_2533, type, sP2173: $o > $o).
% 162.50/24.46  thf(func_def_2534, type, sP2174: $o > $o).
% 162.50/24.46  thf(func_def_2535, type, sP2175: $o > $o).
% 162.50/24.46  thf(func_def_2536, type, sP2176: $o > $o).
% 162.50/24.46  thf(func_def_2537, type, sP2177: $o > $o).
% 162.50/24.46  thf(func_def_2538, type, sP2178: $o > $o).
% 162.50/24.46  thf(func_def_2539, type, sP2179: $o > $o).
% 162.50/24.46  thf(func_def_2540, type, sP2180: $o > $o).
% 162.50/24.46  thf(func_def_2541, type, sP2181: $i > $o).
% 162.50/24.46  thf(func_def_2542, type, sP2182: $o > $o).
% 162.50/24.46  thf(func_def_2543, type, sP2183: $o > $o).
% 162.50/24.46  thf(func_def_2544, type, sP2184: $o > $o).
% 162.50/24.46  thf(func_def_2545, type, sP2185: $o > $o).
% 162.50/24.46  thf(func_def_2546, type, sP2186: $o > $o).
% 162.50/24.46  thf(func_def_2547, type, sP2187: $o > $o).
% 162.50/24.46  thf(func_def_2548, type, sP2188: $o > $o).
% 162.50/24.46  thf(func_def_2549, type, sP2189: $o > $o).
% 162.50/24.46  thf(func_def_2550, type, sP2190: $o > $o).
% 162.50/24.46  thf(func_def_2551, type, sP2191: $o > $o).
% 162.50/24.46  thf(func_def_2552, type, sP2192: $o > $o).
% 162.50/24.46  thf(func_def_2553, type, sP2193: $o > $o).
% 162.50/24.46  thf(func_def_2554, type, sP2194: $o > $o).
% 162.50/24.46  thf(func_def_2555, type, sP2195: $o > $o).
% 162.50/24.46  thf(func_def_2556, type, sP2196: $o > $o).
% 162.50/24.46  thf(func_def_2557, type, sP2197: $o > $o).
% 162.50/24.46  thf(func_def_2558, type, sP2198: $i > $o).
% 162.50/24.46  thf(func_def_2559, type, sP2199: $o > $o).
% 162.50/24.46  thf(func_def_2560, type, sP2200: $o > $o).
% 162.50/24.46  thf(func_def_2561, type, sP2201: $o > $o).
% 162.50/24.46  thf(func_def_2562, type, sP2202: $o > $o).
% 162.50/24.46  thf(func_def_2563, type, sP2203: $o > $o).
% 162.50/24.46  thf(func_def_2564, type, sP2204: $o > $o).
% 162.50/24.46  thf(func_def_2565, type, sP2205: $o > $o).
% 162.50/24.46  thf(func_def_2566, type, sP2206: $o > $o).
% 162.50/24.46  thf(func_def_2567, type, sP2207: $o > $o).
% 162.50/24.46  thf(func_def_2568, type, sP2208: $o > $o).
% 162.50/24.46  thf(func_def_2569, type, sP2209: $o > $o).
% 162.50/24.46  thf(func_def_2570, type, sP2210: $o > $o).
% 162.50/24.46  thf(func_def_2571, type, sP2211: $o > $o).
% 162.50/24.46  thf(func_def_2572, type, sP2212: $o > $o).
% 162.50/24.46  thf(func_def_2573, type, sP2213: $o > $o).
% 162.50/24.46  thf(func_def_2574, type, sP2214: $o > $o).
% 162.50/24.46  thf(func_def_2575, type, sP2215: $o > $o).
% 162.50/24.46  thf(func_def_2576, type, sP2216: $o > $o).
% 162.50/24.46  thf(func_def_2577, type, sP2217: $o > $o).
% 162.50/24.46  thf(func_def_2578, type, sP2218: $o > $o).
% 162.50/24.46  thf(func_def_2579, type, sP2219: $i > $o).
% 162.50/24.46  thf(func_def_2580, type, sP2220: $o > $o).
% 162.50/24.46  thf(func_def_2581, type, sP2221: $o > $o).
% 162.50/24.46  thf(func_def_2582, type, sP2222: $o > $o).
% 162.50/24.46  thf(func_def_2583, type, sP2223: $i > $o).
% 162.50/24.46  thf(func_def_2584, type, sP2224: $o > $o).
% 162.50/24.46  thf(func_def_2585, type, sP2225: $o > $o).
% 162.50/24.46  thf(func_def_2586, type, sP2226: $o > $o).
% 162.50/24.46  thf(func_def_2587, type, sP2227: $o > $o).
% 162.50/24.46  thf(func_def_2588, type, sP2228: $o > $o).
% 162.50/24.46  thf(func_def_2589, type, sP2229: $o > $o).
% 162.50/24.46  thf(func_def_2590, type, sP2230: $o > $o).
% 162.50/24.46  thf(func_def_2591, type, sP2231: $o > $o).
% 162.50/24.46  thf(func_def_2592, type, sP2232: $o > $o).
% 162.50/24.46  thf(func_def_2593, type, sP2233: $o > $o).
% 162.50/24.46  thf(func_def_2594, type, sP2234: $o > $o).
% 162.50/24.46  thf(func_def_2595, type, sP2235: $o > $o).
% 162.50/24.46  thf(func_def_2596, type, sP2236: $o > $o).
% 162.50/24.46  thf(func_def_2597, type, sP2237: $o > $o).
% 162.50/24.46  thf(func_def_2598, type, sP2238: $o > $o).
% 162.50/24.46  thf(func_def_2599, type, sP2239: $o > $o).
% 162.50/24.46  thf(func_def_2600, type, sP2240: $o > $o).
% 162.50/24.46  thf(func_def_2601, type, sP2241: $o > $o).
% 162.50/24.46  thf(func_def_2602, type, sP2242: $o > $o).
% 162.50/24.46  thf(func_def_2603, type, sP2243: $o > $o).
% 162.50/24.46  thf(func_def_2604, type, sP2244: $o > $o).
% 162.50/24.46  thf(func_def_2605, type, sP2245: $o > $o).
% 162.50/24.46  thf(func_def_2606, type, sP2246: $o > $o).
% 162.50/24.46  thf(func_def_2607, type, sP2247: $i > $o).
% 162.50/24.46  thf(func_def_2608, type, sP2248: $o > $o).
% 162.50/24.46  thf(func_def_2609, type, sP2249: $o > $o).
% 162.50/24.46  thf(func_def_2610, type, sP2250: $o > $o).
% 162.50/24.46  thf(func_def_2611, type, sP2251: $i > $o).
% 162.50/24.46  thf(func_def_2612, type, sP2252: $o > $o).
% 162.50/24.46  thf(func_def_2613, type, sP2253: $o > $o).
% 162.50/24.46  thf(func_def_2614, type, sP2254: $o > $o).
% 162.50/24.46  thf(func_def_2615, type, sP2255: $o > $o).
% 162.50/24.46  thf(func_def_2616, type, sP2256: $o > $o).
% 162.50/24.46  thf(func_def_2617, type, sP2257: $o > $o).
% 162.50/24.46  thf(func_def_2618, type, sP2258: $i > $o).
% 162.50/24.46  thf(func_def_2619, type, sP2259: $o > $o).
% 162.50/24.46  thf(func_def_2620, type, sP2260: $o > $o).
% 162.50/24.46  thf(func_def_2621, type, sP2261: $o > $o).
% 162.50/24.46  thf(func_def_2622, type, sP2262: $o > $o).
% 162.50/24.46  thf(func_def_2623, type, sP2263: $o > $o).
% 162.50/24.46  thf(func_def_2624, type, sP2264: $o > $o).
% 162.50/24.46  thf(func_def_2625, type, sP2265: $o > $o).
% 162.50/24.46  thf(func_def_2626, type, sP2266: $o > $o).
% 162.50/24.46  thf(func_def_2627, type, sP2267: $i > $o).
% 162.50/24.46  thf(func_def_2628, type, sP2268: $o > $o).
% 162.50/24.46  thf(func_def_2629, type, sP2269: $o > $o).
% 162.50/24.46  thf(func_def_2630, type, sP2270: $o > $o).
% 162.50/24.46  thf(func_def_2631, type, sP2271: $o > $o).
% 162.50/24.46  thf(func_def_2632, type, sP2272: $o > $o).
% 162.50/24.46  thf(func_def_2633, type, sP2273: $o > $o).
% 162.50/24.46  thf(func_def_2634, type, sP2274: $o > $o).
% 162.50/24.46  thf(func_def_2635, type, sP2275: $o > $o).
% 162.50/24.46  thf(func_def_2636, type, sP2276: $i > $o).
% 162.50/24.46  thf(func_def_2637, type, sP2277: $o > $o).
% 162.50/24.46  thf(func_def_2638, type, sP2278: $o > $o).
% 162.50/24.46  thf(func_def_2639, type, sP2279: $o > $o).
% 162.50/24.46  thf(func_def_2640, type, sP2280: $o > $o).
% 162.50/24.46  thf(func_def_2641, type, sP2281: $o > $o).
% 162.50/24.46  thf(func_def_2642, type, sP2282: $o > $o).
% 162.50/24.46  thf(func_def_2643, type, sP2283: $o > $o).
% 162.50/24.46  thf(func_def_2644, type, sP2284: $o > $o).
% 162.50/24.46  thf(func_def_2645, type, sP2285: $o > $o).
% 162.50/24.46  thf(func_def_2646, type, sP2286: $o > $o).
% 162.50/24.46  thf(func_def_2647, type, sP2287: $o > $o).
% 162.50/24.46  thf(func_def_2648, type, sP2288: $o > $o).
% 162.50/24.46  thf(func_def_2649, type, sP2289: $o > $o).
% 162.50/24.46  thf(func_def_2650, type, sP2290: $o > $o).
% 162.50/24.46  thf(func_def_2651, type, sP2291: $o > $o).
% 162.50/24.46  thf(func_def_2652, type, sP2292: $o > $o).
% 162.50/24.46  thf(func_def_2653, type, sP2293: $o > $o).
% 162.50/24.46  thf(func_def_2654, type, sP2294: $o > $o).
% 162.50/24.46  thf(func_def_2655, type, sP2295: $o > $o).
% 162.50/24.46  thf(func_def_2656, type, sP2296: $i > $o).
% 162.50/24.46  thf(func_def_2657, type, sP2297: $i > $o).
% 162.50/24.46  thf(func_def_2658, type, sP2298: $o > $o).
% 162.50/24.46  thf(func_def_2659, type, sP2299: $o > $o).
% 162.50/24.46  thf(func_def_2660, type, sP2300: $o > $o).
% 162.50/24.46  thf(func_def_2661, type, sP2301: $o > $o).
% 162.50/24.46  thf(func_def_2662, type, sP2302: $o > $o).
% 162.50/24.46  thf(func_def_2663, type, sP2303: $o > $o).
% 162.50/24.46  thf(func_def_2664, type, sP2304: $o > $o).
% 162.50/24.46  thf(func_def_2665, type, sP2305: $o > $o).
% 162.50/24.46  thf(func_def_2666, type, sP2306: $o > $o).
% 162.50/24.46  thf(func_def_2667, type, sP2307: $o > $o).
% 162.50/24.46  thf(func_def_2668, type, sP2308: $o > $o).
% 162.50/24.46  thf(func_def_2669, type, sP2309: $o > $o).
% 162.50/24.46  thf(func_def_2670, type, sP2310: $o > $o).
% 162.50/24.46  thf(func_def_2671, type, sP2311: $o > $o).
% 162.50/24.46  thf(func_def_2672, type, sP2312: $o > $o).
% 162.50/24.46  thf(func_def_2673, type, sP2313: $o > $o).
% 162.50/24.46  thf(func_def_2674, type, sP2314: $o > $o).
% 162.50/24.46  thf(func_def_2675, type, sP2315: $o > $o).
% 162.50/24.46  thf(func_def_2676, type, sP2316: $o > $o).
% 162.50/24.46  thf(func_def_2677, type, sP2317: $o > $o).
% 162.50/24.46  thf(func_def_2678, type, sP2318: $i > $o).
% 162.50/24.46  thf(func_def_2679, type, sP2319: $o > $o).
% 162.50/24.46  thf(func_def_2680, type, sP2320: $o > $o).
% 162.50/24.46  thf(func_def_2681, type, sP2321: $o > $o).
% 162.50/24.46  thf(func_def_2682, type, sP2322: $o > $o).
% 162.50/24.46  thf(func_def_2683, type, sP2323: $o > $o).
% 162.50/24.46  thf(func_def_2684, type, sP2324: $i > $o).
% 162.50/24.46  thf(func_def_2685, type, sP2325: $o > $o).
% 162.50/24.46  thf(func_def_2686, type, sP2326: $o > $o).
% 162.50/24.46  thf(func_def_2687, type, sP2327: $o > $o).
% 162.50/24.46  thf(func_def_2688, type, sP2328: $o > $o).
% 162.50/24.46  thf(func_def_2689, type, sP2329: $o > $o).
% 162.50/24.46  thf(func_def_2690, type, sP2330: $o > $o).
% 162.50/24.46  thf(func_def_2691, type, sP2331: $o > $o).
% 162.50/24.46  thf(func_def_2692, type, sP2332: $o > $o).
% 162.50/24.46  thf(func_def_2693, type, sP2333: $o > $o).
% 162.50/24.46  thf(func_def_2694, type, sP2334: $o > $o).
% 162.50/24.46  thf(func_def_2695, type, sP2335: $o > $o).
% 162.50/24.46  thf(func_def_2696, type, sP2336: $o > $o).
% 162.50/24.46  thf(func_def_2697, type, sP2337: $o > $o).
% 162.50/24.46  thf(func_def_2698, type, sP2338: $o > $o).
% 162.50/24.46  thf(func_def_2699, type, sP2339: $o > $o).
% 162.50/24.46  thf(func_def_2700, type, sP2340: $o > $o).
% 162.50/24.46  thf(func_def_2701, type, sP2341: $o > $o).
% 162.50/24.46  thf(func_def_2702, type, sP2342: $o > $o).
% 162.50/24.46  thf(func_def_2703, type, sP2343: $o > $o).
% 162.50/24.46  thf(func_def_2704, type, sP2344: $o > $o).
% 162.50/24.46  thf(func_def_2705, type, sP2345: $o > $o).
% 162.50/24.46  thf(func_def_2706, type, sP2346: $o > $o).
% 162.50/24.46  thf(func_def_2707, type, sP2347: $o > $o).
% 162.50/24.46  thf(func_def_2708, type, sP2348: $o > $o).
% 162.50/24.46  thf(func_def_2709, type, sP2349: $o > $o).
% 162.50/24.46  thf(func_def_2710, type, sP2350: $o > $o).
% 162.50/24.46  thf(func_def_2711, type, sP2351: $o > $o).
% 162.50/24.46  thf(func_def_2712, type, sP2352: $o > $o).
% 162.50/24.46  thf(func_def_2713, type, sP2353: $o > $o).
% 162.50/24.46  thf(func_def_2714, type, sP2354: $o > $o).
% 162.50/24.46  thf(func_def_2715, type, sP2355: $o > $o).
% 162.50/24.46  thf(func_def_2716, type, sP2356: $o > $o).
% 162.50/24.46  thf(func_def_2717, type, sP2357: $o > $o).
% 162.50/24.46  thf(func_def_2718, type, sP2358: $o > $o).
% 162.50/24.46  thf(func_def_2719, type, sP2359: $o > $o).
% 162.50/24.46  thf(func_def_2720, type, sP2360: $o > $o).
% 162.50/24.46  thf(func_def_2721, type, sP2361: $o > $o).
% 162.50/24.46  thf(func_def_2722, type, sP2362: $o > $o).
% 162.50/24.46  thf(func_def_2723, type, sP2363: $o > $o).
% 162.50/24.46  thf(func_def_2724, type, sP2364: $o > $o).
% 162.50/24.46  thf(func_def_2725, type, sP2365: $o > $o).
% 162.50/24.46  thf(func_def_2726, type, sP2366: $o > $o).
% 162.50/24.46  thf(func_def_2727, type, sP2367: $o > $o).
% 162.50/24.46  thf(func_def_2728, type, sP2368: $o > $o).
% 162.50/24.46  thf(func_def_2729, type, sP2369: $o > $o).
% 162.50/24.46  thf(func_def_2730, type, sP2370: $o > $o).
% 162.50/24.46  thf(func_def_2731, type, sP2371: $o > $o).
% 162.50/24.46  thf(func_def_2732, type, sP2372: $o > $o).
% 162.50/24.46  thf(func_def_2733, type, sP2373: $o > $o).
% 162.50/24.46  thf(func_def_2734, type, sP2374: $o > $o).
% 162.50/24.46  thf(func_def_2735, type, sP2375: $o > $o).
% 162.50/24.46  thf(func_def_2736, type, sP2376: $o > $o).
% 162.50/24.46  thf(func_def_2737, type, sP2377: $o > $o).
% 162.50/24.46  thf(func_def_2738, type, sP2378: $o > $o).
% 162.50/24.46  thf(func_def_2739, type, sP2379: $i > $o).
% 162.50/24.46  thf(func_def_2740, type, sP2380: $o > $o).
% 162.50/24.46  thf(func_def_2741, type, sP2381: $o > $o).
% 162.50/24.46  thf(func_def_2742, type, sP2382: $o > $o).
% 162.50/24.46  thf(func_def_2743, type, sP2383: $o > $o).
% 162.50/24.46  thf(func_def_2744, type, sP2384: $o > $o).
% 162.50/24.46  thf(func_def_2745, type, sP2385: $o > $o).
% 162.50/24.46  thf(func_def_2746, type, sP2386: $o > $o).
% 162.50/24.46  thf(func_def_2747, type, sP2387: $o > $o).
% 162.50/24.46  thf(func_def_2748, type, sP2388: $o > $o).
% 162.50/24.46  thf(func_def_2749, type, sP2389: $o > $o).
% 162.50/24.46  thf(func_def_2750, type, sP2390: $o > $o).
% 162.50/24.46  thf(func_def_2751, type, sP2391: $o > $o).
% 162.50/24.46  thf(func_def_2752, type, sP2392: $o > $o).
% 162.50/24.46  thf(func_def_2753, type, sP2393: $o > $o).
% 162.50/24.46  thf(func_def_2754, type, sP2394: $o > $o).
% 162.50/24.46  thf(func_def_2755, type, sP2395: $o > $o).
% 162.50/24.46  thf(func_def_2756, type, sP2396: $o > $o).
% 162.50/24.46  thf(func_def_2757, type, sP2397: $o > $o).
% 162.50/24.46  thf(func_def_2758, type, sP2398: $o > $o).
% 162.50/24.46  thf(func_def_2759, type, sP2399: $o > $o).
% 162.50/24.46  thf(func_def_2760, type, sP2400: $o > $o).
% 162.50/24.46  thf(func_def_2761, type, sP2401: $i > $o).
% 162.50/24.46  thf(func_def_2762, type, sP2402: $o > $o).
% 162.50/24.46  thf(func_def_2763, type, sP2403: $o > $o).
% 162.50/24.46  thf(func_def_2764, type, sP2404: $o > $o).
% 162.50/24.46  thf(func_def_2765, type, sP2405: $o > $o).
% 162.50/24.46  thf(func_def_2766, type, sP2406: $i > $o).
% 162.50/24.46  thf(func_def_2767, type, sP2407: $o > $o).
% 162.50/24.46  thf(func_def_2768, type, sP2408: $o > $o).
% 162.50/24.46  thf(func_def_2769, type, sP2409: $o > $o).
% 162.50/24.46  thf(func_def_2770, type, sP2410: $o > $o).
% 162.50/24.46  thf(func_def_2771, type, sP2411: $o > $o).
% 162.50/24.46  thf(func_def_2772, type, sP2412: $o > $o).
% 162.50/24.46  thf(func_def_2773, type, sP2413: $o > $o).
% 162.50/24.46  thf(func_def_2774, type, sP2414: $o > $o).
% 162.50/24.46  thf(func_def_2775, type, sP2415: $o > $o).
% 162.50/24.46  thf(func_def_2776, type, sP2416: $o > $o).
% 162.50/24.46  thf(func_def_2777, type, sP2417: $o > $o).
% 162.50/24.46  thf(func_def_2778, type, sP2418: $o > $o).
% 162.50/24.46  thf(func_def_2779, type, sP2419: $o > $o).
% 162.50/24.46  thf(func_def_2780, type, sP2420: $o > $o).
% 162.50/24.46  thf(func_def_2781, type, sP2421: $o > $o).
% 162.50/24.46  thf(func_def_2782, type, sP2422: $o > $o).
% 162.50/24.46  thf(func_def_2783, type, sP2423: $o > $o).
% 162.50/24.46  thf(func_def_2784, type, sP2424: $o > $o).
% 162.50/24.46  thf(func_def_2785, type, sP2425: $o > $o).
% 162.50/24.46  thf(func_def_2786, type, sP2426: $o > $o).
% 162.50/24.46  thf(func_def_2787, type, sP2427: $o > $o).
% 162.50/24.46  thf(func_def_2788, type, sP2428: $o > $o).
% 162.50/24.46  thf(func_def_2789, type, sP2429: $o > $o).
% 162.50/24.46  thf(func_def_2790, type, sP2430: $o > $o).
% 162.50/24.46  thf(func_def_2791, type, sP2431: $o > $o).
% 162.50/24.46  thf(func_def_2792, type, sP2432: $o > $o).
% 162.50/24.46  thf(func_def_2793, type, sP2433: $o > $o).
% 162.50/24.46  thf(func_def_2794, type, sP2434: $o > $o).
% 162.50/24.46  thf(func_def_2795, type, sP2435: $o > $o).
% 162.50/24.46  thf(func_def_2796, type, sP2436: $o > $o).
% 162.50/24.46  thf(func_def_2797, type, sP2437: $o > $o).
% 162.50/24.46  thf(func_def_2798, type, sP2438: $o > $o).
% 162.50/24.46  thf(func_def_2799, type, sP2439: $o > $o).
% 162.50/24.46  thf(func_def_2800, type, sP2440: $o > $o).
% 162.50/24.46  thf(func_def_2801, type, sP2441: $o > $o).
% 162.50/24.46  thf(func_def_2802, type, sP2442: $o > $o).
% 162.50/24.46  thf(func_def_2803, type, sP2443: $o > $o).
% 162.50/24.46  thf(func_def_2804, type, sP2444: $o > $o).
% 162.50/24.46  thf(func_def_2805, type, sP2445: $i > $o).
% 162.50/24.46  thf(func_def_2806, type, sP2446: $o > $o).
% 162.50/24.46  thf(func_def_2807, type, sP2447: $o > $o).
% 162.50/24.46  thf(func_def_2808, type, sP2448: $o > $o).
% 162.50/24.46  thf(func_def_2809, type, sP2449: $o > $o).
% 162.50/24.46  thf(func_def_2810, type, sP2450: $o > $o).
% 162.50/24.46  thf(func_def_2811, type, sP2451: $o > $o).
% 162.50/24.46  thf(func_def_2812, type, sP2452: $o > $o).
% 162.50/24.46  thf(func_def_2813, type, sP2453: $o > $o).
% 162.50/24.46  thf(func_def_2814, type, sP2454: $o > $o).
% 162.50/24.46  thf(func_def_2815, type, sP2455: $o > $o).
% 162.50/24.46  thf(func_def_2816, type, sP2456: $o > $o).
% 162.50/24.46  thf(func_def_2817, type, sP2457: $o > $o).
% 162.50/24.46  thf(func_def_2818, type, sP2458: $o > $o).
% 162.50/24.46  thf(func_def_2819, type, sP2459: $o > $o).
% 162.50/24.46  thf(func_def_2820, type, sP2460: $o > $o).
% 162.50/24.46  thf(func_def_2821, type, sP2461: $o > $o).
% 162.50/24.46  thf(func_def_2822, type, sP2462: $i > $o).
% 162.50/24.46  thf(func_def_2823, type, sP2463: $o > $o).
% 162.50/24.46  thf(func_def_2824, type, sP2464: $o > $o).
% 162.50/24.46  thf(func_def_2825, type, sP2465: $o > $o).
% 162.50/24.46  thf(func_def_2826, type, sP2466: $o > $o).
% 162.50/24.46  thf(func_def_2827, type, sP2467: $o > $o).
% 162.50/24.46  thf(func_def_2828, type, sP2468: $o > $o).
% 162.50/24.46  thf(func_def_2829, type, sP2469: $o > $o).
% 162.50/24.46  thf(func_def_2830, type, sP2470: $o > $o).
% 162.50/24.46  thf(func_def_2831, type, sP2471: $i > $o).
% 162.50/24.46  thf(func_def_2832, type, sP2472: $o > $o).
% 162.50/24.46  thf(func_def_2833, type, sP2473: $i > $o).
% 162.50/24.46  thf(func_def_2834, type, sP2474: $o > $o).
% 162.50/24.46  thf(func_def_2835, type, sP2475: $o > $o).
% 162.50/24.46  thf(func_def_2836, type, sP2476: $o > $o).
% 162.50/24.46  thf(func_def_2837, type, sP2477: $o > $o).
% 162.50/24.46  thf(func_def_2838, type, sP2478: $o > $o).
% 162.50/24.46  thf(func_def_2839, type, sP2479: $o > $o).
% 162.50/24.46  thf(func_def_2840, type, sP2480: $o > $o).
% 162.50/24.46  thf(func_def_2841, type, sP2481: $o > $o).
% 162.50/24.46  thf(func_def_2842, type, sP2482: $o > $o).
% 162.50/24.46  thf(func_def_2843, type, sP2483: $o > $o).
% 162.50/24.46  thf(func_def_2844, type, sP2484: $o > $o).
% 162.50/24.46  thf(func_def_2845, type, sP2485: $o > $o).
% 162.50/24.46  thf(func_def_2846, type, sP2486: $o > $o).
% 162.50/24.46  thf(func_def_2847, type, sP2487: $i > $o).
% 162.50/24.46  thf(func_def_2848, type, sP2488: $o > $o).
% 162.50/24.46  thf(func_def_2849, type, sP2489: $o > $o).
% 162.50/24.46  thf(func_def_2850, type, sP2490: $o > $o).
% 162.50/24.46  thf(func_def_2851, type, sP2491: $o > $o).
% 162.50/24.46  thf(func_def_2852, type, sP2492: $o > $o).
% 162.50/24.46  thf(func_def_2853, type, sP2493: $o > $o).
% 162.50/24.46  thf(func_def_2854, type, sP2494: $o > $o).
% 162.50/24.46  thf(func_def_2855, type, sP2495: $o > $o).
% 162.50/24.46  thf(func_def_2856, type, sP2496: $o > $o).
% 162.50/24.46  thf(func_def_2857, type, sP2497: $o > $o).
% 162.50/24.46  thf(func_def_2858, type, sP2498: $o > $o).
% 162.50/24.46  thf(func_def_2859, type, sP2499: $o > $o).
% 162.50/24.46  thf(func_def_2860, type, sP2500: $o > $o).
% 162.50/24.46  thf(func_def_2861, type, sP2501: $o > $o).
% 162.50/24.46  thf(func_def_2862, type, sP2502: $o > $o).
% 162.50/24.46  thf(func_def_2863, type, sP2503: $o > $o).
% 162.50/24.46  thf(func_def_2864, type, sP2504: $o > $o).
% 162.50/24.46  thf(func_def_2865, type, sP2505: $o > $o).
% 162.50/24.46  thf(func_def_2866, type, sP2506: $o > $o).
% 162.50/24.46  thf(func_def_2867, type, sP2507: $o > $o).
% 162.50/24.46  thf(func_def_2868, type, sP2508: $o > $o).
% 162.50/24.46  thf(func_def_2869, type, sP2509: $o > $o).
% 162.50/24.46  thf(func_def_2870, type, sP2510: $o > $o).
% 162.50/24.46  thf(func_def_2871, type, sP2511: $o > $o).
% 162.50/24.46  thf(func_def_2872, type, sP2512: $o > $o).
% 162.50/24.46  thf(func_def_2873, type, sP2513: $o > $o).
% 162.50/24.46  thf(func_def_2874, type, sP2514: $o > $o).
% 162.50/24.46  thf(func_def_2875, type, sP2515: $o > $o).
% 162.50/24.46  thf(func_def_2876, type, sP2516: $o > $o).
% 162.50/24.46  thf(func_def_2877, type, sP2517: $o > $o).
% 162.50/24.46  thf(func_def_2878, type, sP2518: $o > $o).
% 162.50/24.46  thf(func_def_2879, type, sP2519: $o > $o).
% 162.50/24.46  thf(func_def_2880, type, sP2520: $o > $o).
% 162.50/24.46  thf(func_def_2881, type, sP2521: $o > $o).
% 162.50/24.46  thf(func_def_2882, type, sP2522: $o > $o).
% 162.50/24.46  thf(func_def_2883, type, sP2523: $o > $o).
% 162.50/24.46  thf(func_def_2884, type, sP2524: $o > $o).
% 162.50/24.46  thf(func_def_2885, type, sP2525: $o > $o).
% 162.50/24.46  thf(func_def_2886, type, sP2526: $o > $o).
% 162.50/24.46  thf(func_def_2887, type, sP2527: $o > $o).
% 162.50/24.46  thf(func_def_2888, type, sP2528: $o > $o).
% 162.50/24.46  thf(func_def_2889, type, sP2529: $o > $o).
% 162.50/24.46  thf(func_def_2890, type, sP2530: $o > $o).
% 162.50/24.46  thf(func_def_2891, type, sP2531: $o > $o).
% 162.50/24.46  thf(func_def_2892, type, sP2532: $o > $o).
% 162.50/24.46  thf(func_def_2893, type, sP2533: $o > $o).
% 162.50/24.46  thf(func_def_2894, type, sP2534: $o > $o).
% 162.50/24.46  thf(func_def_2895, type, sP2535: $o > $o).
% 162.50/24.46  thf(func_def_2896, type, sP2536: $o > $o).
% 162.50/24.46  thf(func_def_2897, type, sP2537: $o > $o).
% 162.50/24.46  thf(func_def_2898, type, sP2538: $o > $o).
% 162.50/24.46  thf(func_def_2899, type, sP2539: $o > $o).
% 162.50/24.46  thf(func_def_2900, type, sP2540: $o > $o).
% 162.50/24.46  thf(func_def_2901, type, sP2541: $o > $o).
% 162.50/24.46  thf(func_def_2902, type, sP2542: $o > $o).
% 162.50/24.46  thf(func_def_2903, type, sP2543: $o > $o).
% 162.50/24.46  thf(func_def_2904, type, sP2544: $o > $o).
% 162.50/24.46  thf(func_def_2905, type, sP2545: $o > $o).
% 162.50/24.46  thf(func_def_2906, type, sP2546: $o > $o).
% 162.50/24.46  thf(func_def_2907, type, sP2547: $o > $o).
% 162.50/24.46  thf(func_def_2908, type, sP2548: $o > $o).
% 162.50/24.46  thf(func_def_2909, type, sP2549: $o > $o).
% 162.50/24.46  thf(func_def_2910, type, sP2550: $o > $o).
% 162.50/24.46  thf(func_def_2911, type, sP2551: $o > $o).
% 162.50/24.46  thf(func_def_2912, type, sP2552: $o > $o).
% 162.50/24.46  thf(func_def_2913, type, sP2553: $o > $o).
% 162.50/24.46  thf(func_def_2914, type, sP2554: $o > $o).
% 162.50/24.46  thf(func_def_2915, type, sP2555: $o > $o).
% 162.50/24.46  thf(func_def_2916, type, sP2556: $o > $o).
% 162.50/24.46  thf(func_def_2917, type, sP2557: $o > $o).
% 162.50/24.46  thf(func_def_2918, type, sP2558: $o > $o).
% 162.50/24.46  thf(func_def_2919, type, sP2559: $o > $o).
% 162.50/24.46  thf(func_def_2920, type, sP2560: $o > $o).
% 162.50/24.46  thf(func_def_2921, type, sP2561: $o > $o).
% 162.50/24.46  thf(func_def_2922, type, sP2562: $o > $o).
% 162.50/24.46  thf(func_def_2923, type, sP2563: $o > $o).
% 162.50/24.46  thf(func_def_2924, type, sP2564: $o > $o).
% 162.50/24.46  thf(func_def_2925, type, sP2565: $o > $o).
% 162.50/24.46  thf(func_def_2926, type, sP2566: $o > $o).
% 162.50/24.46  thf(func_def_2927, type, sP2567: $o > $o).
% 162.50/24.46  thf(func_def_2928, type, sP2568: $o > $o).
% 162.50/24.46  thf(func_def_2929, type, sP2569: $o > $o).
% 162.50/24.46  thf(func_def_2930, type, sP2570: $o > $o).
% 162.50/24.46  thf(func_def_2931, type, sP2571: $o > $o).
% 162.50/24.46  thf(func_def_2932, type, sP2572: $o > $o).
% 162.50/24.46  thf(func_def_2933, type, sP2573: $o > $o).
% 162.50/24.46  thf(func_def_2934, type, sP2574: $o > $o).
% 162.50/24.46  thf(func_def_2935, type, sP2575: $o > $o).
% 162.50/24.46  thf(func_def_2936, type, sP2576: $o > $o).
% 162.50/24.46  thf(func_def_2937, type, sP2577: $o > $o).
% 162.50/24.46  thf(func_def_2938, type, sP2578: $o > $o).
% 162.50/24.46  thf(func_def_2939, type, sP2579: $o > $o).
% 162.50/24.46  thf(func_def_2940, type, sP2580: $o > $o).
% 162.50/24.46  thf(func_def_2941, type, sP2581: $o > $o).
% 162.50/24.46  thf(func_def_2942, type, sP2582: $o > $o).
% 162.50/24.46  thf(func_def_2943, type, sP2583: $o > $o).
% 162.50/24.46  thf(func_def_2944, type, sP2584: $o > $o).
% 162.50/24.46  thf(func_def_2945, type, sP2585: $o > $o).
% 162.50/24.46  thf(func_def_2946, type, sP2586: $o > $o).
% 162.50/24.46  thf(func_def_2947, type, sP2587: $o > $o).
% 162.50/24.46  thf(func_def_2948, type, sP2588: $o > $o).
% 162.50/24.46  thf(func_def_2949, type, sP2589: $o > $o).
% 162.50/24.46  thf(func_def_2950, type, sP2590: $o > $o).
% 162.50/24.46  thf(func_def_2951, type, sP2591: $o > $o).
% 162.50/24.46  thf(func_def_2952, type, sP2592: $o > $o).
% 162.50/24.46  thf(func_def_2953, type, sP2593: $o > $o).
% 162.50/24.46  thf(func_def_2954, type, sP2594: $o > $o).
% 162.50/24.46  thf(func_def_2955, type, sP2595: $o > $o).
% 162.50/24.46  thf(func_def_2956, type, sP2596: $o > $o).
% 162.50/24.46  thf(func_def_2957, type, sP2597: $o > $o).
% 162.50/24.46  thf(func_def_2958, type, sP2598: $o > $o).
% 162.50/24.46  thf(func_def_2959, type, sP2599: $o > $o).
% 162.50/24.46  thf(func_def_2960, type, sP2600: $o > $o).
% 162.50/24.46  thf(func_def_2961, type, sP2601: $o > $o).
% 162.50/24.46  thf(func_def_2962, type, sP2602: $o > $o).
% 162.50/24.46  thf(func_def_2963, type, sP2603: $o > $o).
% 162.50/24.46  thf(func_def_2964, type, sP2604: $o > $o).
% 162.50/24.46  thf(func_def_2965, type, sP2605: $o > $o).
% 162.50/24.46  thf(func_def_2966, type, sP2606: $o > $o).
% 162.50/24.46  thf(func_def_2967, type, sP2607: $o > $o).
% 162.50/24.46  thf(func_def_2968, type, sP2608: $i > $o).
% 162.50/24.46  thf(func_def_2969, type, sP2609: $o > $o).
% 162.50/24.46  thf(func_def_2970, type, sP2610: $o > $o).
% 162.50/24.46  thf(func_def_2971, type, sP2611: $o > $o).
% 162.50/24.46  thf(func_def_2972, type, sP2612: $o > $o).
% 162.50/24.46  thf(func_def_2973, type, sP2613: $o > $o).
% 162.50/24.46  thf(func_def_2974, type, sP2614: $o > $o).
% 162.50/24.46  thf(func_def_2975, type, sP2615: $i > $o).
% 162.50/24.46  thf(func_def_2976, type, sP2616: $o > $o).
% 162.50/24.46  thf(func_def_2977, type, sP2617: $o > $o).
% 162.50/24.46  thf(func_def_2978, type, sP2618: $o > $o).
% 162.50/24.46  thf(func_def_2979, type, sP2619: $o > $o).
% 162.50/24.46  thf(func_def_2980, type, sP2620: $o > $o).
% 162.50/24.46  thf(func_def_2981, type, sP2621: $o > $o).
% 162.50/24.46  thf(func_def_2982, type, sP2622: $o > $o).
% 162.50/24.46  thf(func_def_2983, type, sP2623: $o > $o).
% 162.50/24.46  thf(func_def_2984, type, sP2624: $o > $o).
% 162.50/24.46  thf(func_def_2985, type, sP2625: $o > $o).
% 162.50/24.46  thf(func_def_2986, type, sP2626: $o > $o).
% 162.50/24.46  thf(func_def_2987, type, sP2627: $o > $o).
% 162.50/24.46  thf(func_def_2988, type, sP2628: $o > $o).
% 162.50/24.46  thf(func_def_2989, type, sP2629: $o > $o).
% 162.50/24.46  thf(func_def_2991, type, sK2631: $i > $i).
% 162.50/24.46  thf(func_def_2992, type, sK2632: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_2993, type, sK2633: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_2994, type, sK2634: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_2995, type, sK2635: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_2996, type, sK2636: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_2997, type, sK2637: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_2998, type, sK2638: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_2999, type, sK2639: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_3000, type, sK2640: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_3001, type, sK2641: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_3002, type, sK2642: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_3003, type, sK2643: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_3004, type, sK2644: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_3005, type, sK2645: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_3006, type, sK2646: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_3007, type, sK2647: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_3008, type, sK2648: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_3009, type, sK2649: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_3010, type, sK2650: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_3011, type, sK2651: ($i > $o) > $i > $i).
% 162.50/24.46  thf(func_def_3012, type, sK2652: $i > ($i > $o) > $i).
% 162.50/24.46  thf(func_def_3013, type, sK2653: ($i > $o) > $i).
% 162.50/24.46  thf(func_def_3014, type, ph2654: !>[X0: $tType]:(X0)).
% 162.50/24.46  thf(f64763,plain,(
% 162.50/24.46    $false),
% 162.50/24.46    inference(avatar_sat_refutation,[status(thm)],[f9544,f9884,f11834,f64729,f64761])).
% 162.50/24.46  thf(f64761,plain,(
% 162.50/24.46    ~spl2630_312),
% 162.50/24.46    inference(avatar_contradiction_clause,[status(thm)],[f64760])).
% 162.50/24.46  thf(f64760,plain,(
% 162.50/24.46    $false | ~spl2630_312),
% 162.50/24.46    inference(trivial_inequality_removal,[status(thm)],[f64759])).
% 162.50/24.46  thf(f64759,plain,(
% 162.50/24.46    ($true = $false) | ~spl2630_312),
% 162.50/24.46    inference(forward_demodulation,[status(thm)],[f9883,f7753])).
% 162.50/24.46  thf(f7753,plain,(
% 162.50/24.46    ($false = (sP2317 @ $true))),
% 162.50/24.46    introduced(definition,[new_symbols(naming,[sP2317])],[inequality_splitting_name_introduction])).
% 162.50/24.46  thf(f9883,plain,(
% 162.50/24.46    ($true = (sP2317 @ $true)) | ~spl2630_312),
% 162.50/24.46    inference(avatar_component_clause,[status(thm)],[f9881])).
% 162.50/24.46  thf(f9881,definition,(
% 162.50/24.46    spl2630_312 <=> ($true = (sP2317 @ $true))),
% 162.50/24.46    introduced(definition,[new_symbols(naming,[spl2630_312])],[avatar_definition])).
% 162.50/24.46  thf(f64729,plain,(
% 162.50/24.46    ~spl2630_231 | ~spl2630_311),
% 162.50/24.46    inference(avatar_contradiction_clause,[status(thm)],[f64728])).
% 162.50/24.46  thf(f64728,plain,(
% 162.50/24.46    $false | (~spl2630_231 | ~spl2630_311)),
% 162.50/24.46    inference(subsumption_resolution,[status(thm)],[f64655,f53596])).
% 162.50/24.46  thf(f53596,plain,(
% 162.50/24.46    ((binintersect @ (cartprod @ sK50 @ sK50) @ (binunion @ sK49 @ sK51)) != (binunion @ sK49 @ sK51))),
% 162.50/24.46    inference(trivial_inequality_removal,[status(thm)],[f53595])).
% 162.50/24.46  thf(f53595,plain,(
% 162.50/24.46    ($true = $false) | ((binintersect @ (cartprod @ sK50 @ sK50) @ (binunion @ sK49 @ sK51)) != (binunion @ sK49 @ sK51))),
% 162.50/24.46    inference(forward_demodulation,[status(thm)],[f53585,f5830])).
% 162.50/24.46  thf(f5830,plain,(
% 162.50/24.46    ((sP1054 @ $true) = $false)),
% 162.50/24.46    introduced(definition,[new_symbols(naming,[sP1054])],[inequality_splitting_name_introduction])).
% 162.50/24.46  thf(f53585,plain,(
% 162.50/24.46    ($true = (sP1054 @ $true)) | ((binintersect @ (cartprod @ sK50 @ sK50) @ (binunion @ sK49 @ sK51)) != (binunion @ sK49 @ sK51))),
% 162.50/24.46    inference(superposition,[status(thm)],[f8515,f10857])).
% 162.50/24.46  thf(f10857,plain,(
% 162.50/24.46    ( ! [X0 : $i,X1 : $i] : (($true = (subset @ X1 @ X0)) | ((binintersect @ X0 @ X1) != X1)) )),
% 162.50/24.46    inference(trivial_inequality_removal,[status(thm)],[f10856])).
% 162.50/24.46  thf(f10856,plain,(
% 162.50/24.46    ( ! [X0 : $i,X1 : $i] : (((binintersect @ X0 @ X1) != X1) | ($true = $false) | ($true = (subset @ X1 @ X0))) )),
% 162.50/24.46    inference(forward_demodulation,[status(thm)],[f6407,f6406])).
% 162.50/24.46  thf(f6406,plain,(
% 162.50/24.46    ($false = (sP1433 @ $true))),
% 162.50/24.46    introduced(definition,[new_symbols(naming,[sP1433])],[inequality_splitting_name_introduction])).
% 162.50/24.46  thf(f6407,plain,(
% 162.50/24.46    ( ! [X0 : $i,X1 : $i] : (($true = (subset @ X1 @ X0)) | ($true = (sP1433 @ $true)) | ((binintersect @ X0 @ X1) != X1)) )),
% 162.50/24.46    inference(inequality_splitting,[status(thm)],[f4855,f6406])).
% 162.50/24.46  thf(f4855,plain,(
% 162.50/24.46    ( ! [X0 : $i,X1 : $i] : (($true = (subset @ X1 @ X0)) | ((binintersect @ X0 @ X1) != X1) | ($true != $true)) )),
% 162.50/24.46    inference(definition_unfolding,[status(thm)],[f3524,f2955])).
% 162.50/24.46  thf(f2955,plain,(
% 162.50/24.46    (binintersectSubset3 = $true)),
% 162.50/24.46    inference(cnf_transformation,[status(thm)],[f1401])).
% 162.50/24.46  thf(f1401,plain,(
% 162.50/24.46    (lam2p = $true) & (infuncsetfunc = $true) & (omegaSAx = $true) & (brelnall1 = $true) & (omega__Cong = $true) & (intersectInPowersetIntersectUnions = $true) & (woz1_2 = $true) & (powersetTI1 = $true) & (binunionTILcontra = $true) & (setminusT_lem = $true) & (foundationAx = $true) & (wellorderingAx = $true) & (setukpairinjR2 = $true) & (breln1invE = $true) & (setunionsingleton = $true) & (complementSubsetComplementIntersect = $true) & (funcGraphProp1 = $true) & (powerset__Cong = $true) & (subsetTrans = $true) & (eqbreln1 = $true) & (setoftrueEq = $true) & (cartprodfstin = $true) & (complementImpComplementIntersect = $true) & (nonemptyE1 = $true) & (lamp = $true) & (dsetconstrI = $true) & (exuI3 = $true) & (breln1SetBreln1 = $true) & (ifp = $true) & (inIntersectImpInUnion2 = $true) & (apProp = $true) & (breln1all1 = $true) & (breln1compprop = $true) & (cartprodpairsurjEq = $true) & (iftrueProp1 = $true) & (binintersectSubset2 = $true) & (woz13rule1 = $true) & (upairequniteq = $true) & (woz1_5 = $true) & (setadjoinE = $true) & (cartprodpairmemEL = $true) & (quantDeMorgan3 = $true) & (breln1compI = $true) & (binunionLsub = $true) & (funcGraphProp4 = $true) & (setadjoinOr = $true) & (emptysetE = $true) & (setext = $true) & (upairset2E = $true) & (subsetE2 = $true) & (dpsetconstrER = $true) & (doubleComplementSub2 = $true) & (upairinpowunion = $true) & (binintersectSubset4 = $true) & (ex1I2 = $true) & (demorgan1 = $true) & (emptysetAx = $true) & (contraSubsetComplement = $true) & (notsubsetI = $true) & (setminusILneg = $true) & (contrasubsetT2 = $true) & (setukpairIR = $true) & (notdexE = $true) & (setminusSubset1 = $true) & (lam2lamEq = $true) & (eqimpsubset2 = $true) & (sepInPowerset = $true) & (setadjoinSub = $true) & (demorgan2b2 = $true) & (woz13rule3 = $true) & (setukpairinjL2 = $true) & (binunionE = $true) & (setminusI = $true) & (woz13rule4 = $true) & (cartprodmempair1 = $true) & (binunionRsub = $true) & (setminusERneg = $true) & (complementTI1 = $true) & (setukpairIL = $true) & (subbreln = $true) & (subsetI2 = $true) & (funcext = $true) & (emptyE1 = $true) & (binintersectER = $true) & (singletonsuniq = $true) & (iftrue = $true) & (dpsetconstrSub = $true) & (singletoninpowunion = $true) & (breln1all2 = $true) & (bs114d = $true) & (iffalseProp1 = $true) & (binintersectLsub = $true) & (eta1 = $true) & (setadjoinSub2 = $true) & (binintersectSubset5 = $true) & (demorgan1b = $true) & (setukpairinjL1 = $true) & (subset2powerset = $true) & (emptysetimpfalse = $true) & (ksndsingleton = $true) & (inComplementUnionImpInComplement1 = $true) & (upairsetE = $true) & (dsetconstrEL = $true) & (singletoninpowerset = $true) & (exu__Cong = $true) & (beta1 = $true) & (iffalseProp2 = $true) & (notinsingleton = $true) & (singletonsubset = $true) & (woz13rule0 = $true) & (binintersectTERcontra = $true) & (dpsetconstrEL2 = $true) & (complementTnotintersectT = $true) & (complementTE1 = $true) & (emptyI = $true) & (dpsetconstrEL1 = $true) & (brelnall2 = $true) & (ap2p = $true) & (setOfPairsIsBReln1 = $true) & (setukpairinjR11 = $true) & (upairsubunion = $true) & (eqimpsubset1 = $true) & (kfstpairEq = $true) & (emptyset__Cong = $true) & (woz1_3 = $true) & (iftrueProp2 = $true) & (demorgan2a2 = $true) & (setukpairinjL = $true) & (omegaIndAx = $true) & (breln1compE = $true) & (demorgan2a1 = $true) & (demorgan2a = $true) & (contrasubsetT = $true) & (cartprodpairmemER = $true) & (setminusLsub = $true) & (beta2 = $true) & (setukpairinjR1 = $true) & (demorgan1a = $true) & (kpairp = $true) & (subPowSU = $true) & (ex1E1 = $true) & (complementUnionInPowersetComplement = $true) & (ap2apEq2 = $true) & (setadjoinAx = $true) & (binintersectSubset1 = $true) & (powersetTE1 = $true) & (setextAx = $true) & (eqbreln = $true) & (symdiffI1 = $true) & (setminusSubset2 = $true) & (cartprodsndpairEq = $true) & (iftrueorfalse = $true) & (upairset2IR = $true) & (theprop = $true) & (doubleComplementE1 = $true) & (setunionAx = $true) & (cartprodsndin = $true) & (binunionEcases = $true) & (inIntersectImpInUnion = $true) & (funcinfuncset = $true) & (sepSubset = $true) & (notequalI1 = $true) & (setminusEL = $true) & (woz13rule2 = $true) & (subbreln1 = $true) & (disjointsetsI1 = $true) & (powersetsubset = $true) & (breln1invprop = $true) & (nonemptyI = $true) & (complementT_lem = $true) & (ex1I = $true) & (setunionE = $true) & (demorgan2 = $true) & (replAx = $true) & (doubleComplementSub1 = $true) & (theeq = $true) & (setminusELneg = $true) & (kfstsingleton = $true) & (binintersectEL = $true) & (notequalI2 = $true) & (setunionE2 = $true) & (setadjoin__Cong = $true) & (binintersectTELcontra = $true) & (binunionTE = $true) & (powersetI = $true) & (woz1_4 = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (nonemptyImpWitness = $true) & (nonemptyI1 = $true) & (kpairiskpair = $true) & (choice2fnsingleton = $true) & (ubforcartprodlem3 = $true) & (subsetemptysetimpeq = $true) & (setukpairinjR12 = $true) & (symdiffIneg2 = $true) & (funcImageSingleton = $true) & (funcGraphProp2 = $true) & (emptyInPowerset = $true) & (setukpairinjR = $true) & (powersetE = $true) & (exuI1 = $true) & (funcext2 = $true) & (ifSingleton = $true) & (emptysetsubset = $true) & (setunionsingleton2 = $true) & (dsetconstr__Cong = $true) & (inCongP = $true) & (emptyinPowerset = $true) & (setadjoinIL = $true) & (ap2apEq1 = $true) & (binunionT_lem = $true) & (binunionTIRcontra = $true) & (subsetI1 = $true) & (inComplementUnionImpNotIn1 = $true) & (quantDeMorgan2 = $true) & (setunion__Cong = $true) & (ex1E2 = $true) & (secondinupair = $true) & (breln1compEex = $true) & (dsetconstrER = $true) & (noeltsimpempty = $true) & (upairsetIR = $true) & (prop2setE = $true) & (complementTcontraSubset = $true) & (doubleComplementI1 = $true) & (cartprodmempaircEq = $true) & (exuEu = $true) & (cartprodfstpairEq = $true) & (dpsetconstrERa = $true) & (powersetE1 = $true) & (breln1invI = $true) & (descr__Cong = $true) & (emptyinunitempty = $true) & (funcextLem = $true) & (notdallE = $true) & (subsetTI = $true) & (doubleComplementEq = $true) & (uniqinunit = $true) & (singletonsswitch = $true) & (ubforcartprodlem1 = $true) & (exuE2 = $true) & (ubforcartprodlem2 = $true) & (woz1_1 = $true) & (setextT = $true) & (binintersectSubset3 = $true) & (setunionsingleton1 = $true) & (vacuousDall = $true) & (eta2 = $true) & (notinemptyset = $true) & (funcGraphProp3 = $true) & (eqinunit = $true) & (binunionIR = $true) & (setadjoinIR = $true) & (setextsub = $true) & (ksndpairEq = $true) & (lamProp = $true) & (exuE3e = $true) & (setOfPairsIsBReln = $true) & (singletonprop = $true) & (contrasubsetT3 = $true) & (setbeta = $true) & (symdiffIneg1 = $true) & (binunionIL = $true) & (exuE3u = $true) & (prop2set2propI = $true) & (setminusER = $true) & (symdiffE = $true) & (omega0Ax = $true) & ((($true != (breln1 @ sK50 @ (binunion @ sK49 @ sK51))) & ($true = (breln1 @ sK50 @ sK51))) & ((breln1 @ sK50 @ sK49) = $true)) & (contrasubsetT1 = $true) & (cartprodmempair = $true) & (iffalse = $true) & (powersetAx = $true) & (inPowerset = $true) & (app = $true) & (binintersectT_lem = $true) & (cartprodpairin = $true) & (setunionI = $true) & (setminusIRneg = $true) & (powersetT_lem = $true) & (quantDeMorgan1 = $true) & (descrp = $true) & (binunionTEcontra = $true) & (in__Cong = $true) & (binintersectI = $true) & (exuI2 = $true) & (upairsetIL = $true) & (symdiffI2 = $true) & (subsetE = $true) & (inIntersectImpInIntersectUnions = $true) & (subsetRefl = $true) & (kpairsurjEq = $true) & (complementInPowersetComplementIntersect = $true) & (dpsetconstrI = $true) & (binintersectRsub = $true) & (demorgan2b = $true) & (powersetI1 = $true) & (exuE1 = $true)),
% 162.50/24.46    inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50,sK51])],[f1108,f1400,f1399])).
% 162.50/24.46  thf(f1399,plain,(
% 162.50/24.46    ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (($true != (breln1 @ X1 @ (binunion @ X0 @ X2))) & ($true = (breln1 @ X1 @ X2))) & ($true = (breln1 @ X1 @ X0))) => (? [X2 : $i] : (($true != (breln1 @ sK50 @ (binunion @ sK49 @ X2))) & ($true = (breln1 @ sK50 @ X2))) & ((breln1 @ sK50 @ sK49) = $true))),
% 162.50/24.46    introduced(definition,[],[choice_axiom])).
% 162.50/24.46  thf(f1400,plain,(
% 162.50/24.46    ? [X2 : $i] : (($true != (breln1 @ sK50 @ (binunion @ sK49 @ X2))) & ($true = (breln1 @ sK50 @ X2))) => (($true != (breln1 @ sK50 @ (binunion @ sK49 @ sK51))) & ($true = (breln1 @ sK50 @ sK51)))),
% 162.50/24.46    introduced(definition,[],[choice_axiom])).
% 162.50/24.46  thf(f1108,plain,(
% 162.50/24.46    (lam2p = $true) & (infuncsetfunc = $true) & (omegaSAx = $true) & (brelnall1 = $true) & (omega__Cong = $true) & (intersectInPowersetIntersectUnions = $true) & (woz1_2 = $true) & (powersetTI1 = $true) & (binunionTILcontra = $true) & (setminusT_lem = $true) & (foundationAx = $true) & (wellorderingAx = $true) & (setukpairinjR2 = $true) & (breln1invE = $true) & (setunionsingleton = $true) & (complementSubsetComplementIntersect = $true) & (funcGraphProp1 = $true) & (powerset__Cong = $true) & (subsetTrans = $true) & (eqbreln1 = $true) & (setoftrueEq = $true) & (cartprodfstin = $true) & (complementImpComplementIntersect = $true) & (nonemptyE1 = $true) & (lamp = $true) & (dsetconstrI = $true) & (exuI3 = $true) & (breln1SetBreln1 = $true) & (ifp = $true) & (inIntersectImpInUnion2 = $true) & (apProp = $true) & (breln1all1 = $true) & (breln1compprop = $true) & (cartprodpairsurjEq = $true) & (iftrueProp1 = $true) & (binintersectSubset2 = $true) & (woz13rule1 = $true) & (upairequniteq = $true) & (woz1_5 = $true) & (setadjoinE = $true) & (cartprodpairmemEL = $true) & (quantDeMorgan3 = $true) & (breln1compI = $true) & (binunionLsub = $true) & (funcGraphProp4 = $true) & (setadjoinOr = $true) & (emptysetE = $true) & (setext = $true) & (upairset2E = $true) & (subsetE2 = $true) & (dpsetconstrER = $true) & (doubleComplementSub2 = $true) & (upairinpowunion = $true) & (binintersectSubset4 = $true) & (ex1I2 = $true) & (demorgan1 = $true) & (emptysetAx = $true) & (contraSubsetComplement = $true) & (notsubsetI = $true) & (setminusILneg = $true) & (contrasubsetT2 = $true) & (setukpairIR = $true) & (notdexE = $true) & (setminusSubset1 = $true) & (lam2lamEq = $true) & (eqimpsubset2 = $true) & (sepInPowerset = $true) & (setadjoinSub = $true) & (demorgan2b2 = $true) & (woz13rule3 = $true) & (setukpairinjL2 = $true) & (binunionE = $true) & (setminusI = $true) & (woz13rule4 = $true) & (cartprodmempair1 = $true) & (binunionRsub = $true) & (setminusERneg = $true) & (complementTI1 = $true) & (setukpairIL = $true) & (subbreln = $true) & (subsetI2 = $true) & (funcext = $true) & (emptyE1 = $true) & (binintersectER = $true) & (singletonsuniq = $true) & (iftrue = $true) & (dpsetconstrSub = $true) & (singletoninpowunion = $true) & (breln1all2 = $true) & (bs114d = $true) & (iffalseProp1 = $true) & (binintersectLsub = $true) & (eta1 = $true) & (setadjoinSub2 = $true) & (binintersectSubset5 = $true) & (demorgan1b = $true) & (setukpairinjL1 = $true) & (subset2powerset = $true) & (emptysetimpfalse = $true) & (ksndsingleton = $true) & (inComplementUnionImpInComplement1 = $true) & (upairsetE = $true) & (dsetconstrEL = $true) & (singletoninpowerset = $true) & (exu__Cong = $true) & (beta1 = $true) & (iffalseProp2 = $true) & (notinsingleton = $true) & (singletonsubset = $true) & (woz13rule0 = $true) & (binintersectTERcontra = $true) & (dpsetconstrEL2 = $true) & (complementTnotintersectT = $true) & (complementTE1 = $true) & (emptyI = $true) & (dpsetconstrEL1 = $true) & (brelnall2 = $true) & (ap2p = $true) & (setOfPairsIsBReln1 = $true) & (setukpairinjR11 = $true) & (upairsubunion = $true) & (eqimpsubset1 = $true) & (kfstpairEq = $true) & (emptyset__Cong = $true) & (woz1_3 = $true) & (iftrueProp2 = $true) & (demorgan2a2 = $true) & (setukpairinjL = $true) & (omegaIndAx = $true) & (breln1compE = $true) & (demorgan2a1 = $true) & (demorgan2a = $true) & (contrasubsetT = $true) & (cartprodpairmemER = $true) & (setminusLsub = $true) & (beta2 = $true) & (setukpairinjR1 = $true) & (demorgan1a = $true) & (kpairp = $true) & (subPowSU = $true) & (ex1E1 = $true) & (complementUnionInPowersetComplement = $true) & (ap2apEq2 = $true) & (setadjoinAx = $true) & (binintersectSubset1 = $true) & (powersetTE1 = $true) & (setextAx = $true) & (eqbreln = $true) & (symdiffI1 = $true) & (setminusSubset2 = $true) & (cartprodsndpairEq = $true) & (iftrueorfalse = $true) & (upairset2IR = $true) & (theprop = $true) & (doubleComplementE1 = $true) & (setunionAx = $true) & (cartprodsndin = $true) & (binunionEcases = $true) & (inIntersectImpInUnion = $true) & (funcinfuncset = $true) & (sepSubset = $true) & (notequalI1 = $true) & (setminusEL = $true) & (woz13rule2 = $true) & (subbreln1 = $true) & (disjointsetsI1 = $true) & (powersetsubset = $true) & (breln1invprop = $true) & (nonemptyI = $true) & (complementT_lem = $true) & (ex1I = $true) & (setunionE = $true) & (demorgan2 = $true) & (replAx = $true) & (doubleComplementSub1 = $true) & (theeq = $true) & (setminusELneg = $true) & (kfstsingleton = $true) & (binintersectEL = $true) & (notequalI2 = $true) & (setunionE2 = $true) & (setadjoin__Cong = $true) & (binintersectTELcontra = $true) & (binunionTE = $true) & (powersetI = $true) & (woz1_4 = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (nonemptyImpWitness = $true) & (nonemptyI1 = $true) & (kpairiskpair = $true) & (choice2fnsingleton = $true) & (ubforcartprodlem3 = $true) & (subsetemptysetimpeq = $true) & (setukpairinjR12 = $true) & (symdiffIneg2 = $true) & (funcImageSingleton = $true) & (funcGraphProp2 = $true) & (emptyInPowerset = $true) & (setukpairinjR = $true) & (powersetE = $true) & (exuI1 = $true) & (funcext2 = $true) & (ifSingleton = $true) & (emptysetsubset = $true) & (setunionsingleton2 = $true) & (dsetconstr__Cong = $true) & (inCongP = $true) & (emptyinPowerset = $true) & (setadjoinIL = $true) & (ap2apEq1 = $true) & (binunionT_lem = $true) & (binunionTIRcontra = $true) & (subsetI1 = $true) & (inComplementUnionImpNotIn1 = $true) & (quantDeMorgan2 = $true) & (setunion__Cong = $true) & (ex1E2 = $true) & (secondinupair = $true) & (breln1compEex = $true) & (dsetconstrER = $true) & (noeltsimpempty = $true) & (upairsetIR = $true) & (prop2setE = $true) & (complementTcontraSubset = $true) & (doubleComplementI1 = $true) & (cartprodmempaircEq = $true) & (exuEu = $true) & (cartprodfstpairEq = $true) & (dpsetconstrERa = $true) & (powersetE1 = $true) & (breln1invI = $true) & (descr__Cong = $true) & (emptyinunitempty = $true) & (funcextLem = $true) & (notdallE = $true) & (subsetTI = $true) & (doubleComplementEq = $true) & (uniqinunit = $true) & (singletonsswitch = $true) & (ubforcartprodlem1 = $true) & (exuE2 = $true) & (ubforcartprodlem2 = $true) & (woz1_1 = $true) & (setextT = $true) & (binintersectSubset3 = $true) & (setunionsingleton1 = $true) & (vacuousDall = $true) & (eta2 = $true) & (notinemptyset = $true) & (funcGraphProp3 = $true) & (eqinunit = $true) & (binunionIR = $true) & (setadjoinIR = $true) & (setextsub = $true) & (ksndpairEq = $true) & (lamProp = $true) & (exuE3e = $true) & (setOfPairsIsBReln = $true) & (singletonprop = $true) & (contrasubsetT3 = $true) & (setbeta = $true) & (symdiffIneg1 = $true) & (binunionIL = $true) & (exuE3u = $true) & (prop2set2propI = $true) & (setminusER = $true) & (symdiffE = $true) & (omega0Ax = $true) & ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (($true != (breln1 @ X1 @ (binunion @ X0 @ X2))) & ($true = (breln1 @ X1 @ X2))) & ($true = (breln1 @ X1 @ X0))) & (contrasubsetT1 = $true) & (cartprodmempair = $true) & (iffalse = $true) & (powersetAx = $true) & (inPowerset = $true) & (app = $true) & (binintersectT_lem = $true) & (cartprodpairin = $true) & (setunionI = $true) & (setminusIRneg = $true) & (powersetT_lem = $true) & (quantDeMorgan1 = $true) & (descrp = $true) & (binunionTEcontra = $true) & (in__Cong = $true) & (binintersectI = $true) & (exuI2 = $true) & (upairsetIL = $true) & (symdiffI2 = $true) & (subsetE = $true) & (inIntersectImpInIntersectUnions = $true) & (subsetRefl = $true) & (kpairsurjEq = $true) & (complementInPowersetComplementIntersect = $true) & (dpsetconstrI = $true) & (binintersectRsub = $true) & (demorgan2b = $true) & (powersetI1 = $true) & (exuE1 = $true)),
% 162.50/24.46    inference(flattening,[status(thm)],[f1107])).
% 162.50/24.46  thf(f1107,plain,(
% 162.50/24.46    (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i,X1 : $i] : (? [X2 : $i] : (($true != (breln1 @ X1 @ (binunion @ X0 @ X2))) & ($true = (breln1 @ X1 @ X2))) & ($true = (breln1 @ X1 @ X0))) & (breln1compEex = $true)) & (breln1compE = $true)) & (breln1compI = $true)) & (breln1compprop = $true)) & (breln1invE = $true)) & (breln1invI = $true)) & (breln1invprop = $true)) & (eqbreln1 = $true)) & (subbreln1 = $true)) & (breln1all1 = $true)) & (setOfPairsIsBReln1 = $true)) & (choice2fnsingleton = $true)) & (breln1SetBreln1 = $true)) & (breln1all2 = $true)) & (woz1_5 = $true)) & (woz1_4 = $true)) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 162.50/24.46    inference(ennf_transformation,[status(thm)],[f786])).
% 162.50/24.46  thf(f786,plain,(
% 162.50/24.46    ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $true) => ((breln1invprop = $true) => ((breln1invI = $true) => ((breln1invE = $true) => ((breln1compprop = $true) => ((breln1compI = $true) => ((breln1compE = $true) => ((breln1compEex = $true) => ! [X0 : $i,X1 : $i] : (($true = (breln1 @ X1 @ X0)) => ! [X2 : $i] : (($true = (breln1 @ X1 @ X2)) => ($true = (breln1 @ X1 @ (binunion @ X0 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 162.50/24.46    inference(fool_elimination,[status(thm)],[f785])).
% 162.50/24.46  thf(f785,plain,(
% 162.50/24.46    ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => ! [X0 : $i,X1 : $i] : ((breln1 @ X1 @ X0) => ! [X2 : $i] : ((breln1 @ X1 @ X2) => (breln1 @ X1 @ (binunion @ X0 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 162.50/24.46    inference(rectify,[status(thm)],[f304])).
% 162.50/24.46  thf(f304,negated_conjecture,(
% 162.50/24.46    ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => ! [X13 : $i,X3 : $i] : ((breln1 @ X3 @ X13) => ! [X15 : $i] : ((breln1 @ X3 @ X15) => (breln1 @ X3 @ (binunion @ X13 @ X15))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 162.50/24.46    inference(negated_conjecture,[status(cth)],[f303])).
% 162.50/24.46  thf(f303,conjecture,(
% 162.50/24.46    setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => ! [X13 : $i,X3 : $i] : ((breln1 @ X3 @ X13) => ! [X15 : $i] : ((breln1 @ X3 @ X15) => (breln1 @ X3 @ (binunion @ X13 @ X15)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 162.50/24.46    file('/export/starexec/sandbox/tmp/tmp.gExcApT4FL/DTF2THF_29531.p',breln1unionprop)).
% 162.50/24.46  thf(f3524,plain,(
% 162.50/24.46    ( ! [X0 : $i,X1 : $i] : (($true = (subset @ X1 @ X0)) | ((binintersect @ X0 @ X1) != X1) | (binintersectSubset3 != $true)) )),
% 162.50/24.46    inference(cnf_transformation,[status(thm)],[f1781])).
% 162.50/24.46  thf(f1781,plain,(
% 162.50/24.46    (! [X0 : $i,X1 : $i] : (($true = (subset @ X1 @ X0)) | ((binintersect @ X0 @ X1) != X1)) | (binintersectSubset3 != $true)) & ((binintersectSubset3 = $true) | (($true != (subset @ sK290 @ sK289)) & ((binintersect @ sK289 @ sK290) = sK290)))),
% 162.50/24.46    inference(skolemisation,[status(esa),new_symbols(skolem,[sK289,sK290])],[f1779,f1780])).
% 162.50/24.46  thf(f1780,plain,(
% 162.50/24.46    ? [X2 : $i,X3 : $i] : (($true != (subset @ X3 @ X2)) & ((binintersect @ X2 @ X3) = X3)) => (($true != (subset @ sK290 @ sK289)) & ((binintersect @ sK289 @ sK290) = sK290))),
% 162.50/24.46    introduced(definition,[],[choice_axiom])).
% 162.50/24.46  thf(f1779,plain,(
% 162.50/24.46    (! [X0 : $i,X1 : $i] : (($true = (subset @ X1 @ X0)) | ((binintersect @ X0 @ X1) != X1)) | (binintersectSubset3 != $true)) & ((binintersectSubset3 = $true) | ? [X2 : $i,X3 : $i] : (($true != (subset @ X3 @ X2)) & ((binintersect @ X2 @ X3) = X3)))),
% 162.50/24.46    inference(rectify,[status(thm)],[f1778])).
% 162.50/24.46  thf(f1778,plain,(
% 162.50/24.46    (! [X0 : $i,X1 : $i] : (($true = (subset @ X1 @ X0)) | ((binintersect @ X0 @ X1) != X1)) | (binintersectSubset3 != $true)) & ((binintersectSubset3 = $true) | ? [X0 : $i,X1 : $i] : (($true != (subset @ X1 @ X0)) & ((binintersect @ X0 @ X1) = X1)))),
% 162.50/24.46    inference(nnf_transformation,[status(thm)],[f1307])).
% 162.50/24.46  thf(f1307,plain,(
% 162.50/24.46    ! [X0 : $i,X1 : $i] : (($true = (subset @ X1 @ X0)) | ((binintersect @ X0 @ X1) != X1)) <=> (binintersectSubset3 = $true)),
% 162.50/24.46    inference(ennf_transformation,[status(thm)],[f461])).
% 162.50/24.46  thf(f461,plain,(
% 162.50/24.46    ! [X0 : $i,X1 : $i] : (((binintersect @ X0 @ X1) = X1) => ($true = (subset @ X1 @ X0))) <=> (binintersectSubset3 = $true)),
% 162.50/24.46    inference(fool_elimination,[status(thm)],[f460])).
% 162.50/24.46  thf(f460,plain,(
% 162.50/24.46    (! [X0 : $i,X1 : $i] : (((binintersect @ X0 @ X1) = X1) => (subset @ X1 @ X0)) = binintersectSubset3)),
% 162.50/24.46    inference(rectify,[status(thm)],[f113])).
% 162.50/24.46  thf(f113,axiom,(
% 162.50/24.46    (! [X3 : $i,X4 : $i] : (((binintersect @ X3 @ X4) = X4) => (subset @ X4 @ X3)) = binintersectSubset3)),
% 162.50/24.46    file('/export/starexec/sandbox/tmp/tmp.gExcApT4FL/DTF2THF_29531.p',binintersectSubset3)).
% 162.50/24.46  thf(f8515,plain,(
% 162.50/24.46    ($true = (sP1054 @ (subset @ (binunion @ sK49 @ sK51) @ (cartprod @ sK50 @ sK50))))),
% 162.50/24.46    inference(beta_eta_normalization,[status(thm)],[f5831])).
% 162.50/24.46  thf(f5831,plain,(
% 162.50/24.46    ($true = (sP1054 @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (subset @ Y4 @ (cartprod @ Y2 @ Y3))))))) @ Y0 @ Y0 @ Y1)))) @ sK50 @ (binunion @ sK49 @ sK51))))),
% 162.50/24.46    inference(inequality_splitting,[status(thm)],[f4544,f5830])).
% 162.50/24.46  thf(f4544,plain,(
% 162.50/24.46    ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (subset @ Y4 @ (cartprod @ Y2 @ Y3))))))) @ Y0 @ Y0 @ Y1)))) @ sK50 @ (binunion @ sK49 @ sK51)))),
% 162.50/24.46    inference(definition_unfolding,[status(thm)],[f2931,f4508])).
% 162.50/24.46  thf(f4508,plain,(
% 162.50/24.46    (breln1 = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (subset @ Y4 @ (cartprod @ Y2 @ Y3))))))) @ Y0 @ Y0 @ Y1)))))),
% 162.50/24.46    inference(definition_unfolding,[status(thm)],[f3630,f3731])).
% 162.50/24.46  thf(f3731,plain,(
% 162.50/24.46    (breln = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (subset @ Y2 @ (cartprod @ Y0 @ Y1))))))))),
% 162.50/24.46    inference(cnf_transformation,[status(thm)],[f816])).
% 162.50/24.46  thf(f816,plain,(
% 162.50/24.46    (breln = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (subset @ Y2 @ (cartprod @ Y0 @ Y1))))))))),
% 162.50/24.46    inference(fool_elimination,[status(thm)],[f815])).
% 162.50/24.46  thf(f815,plain,(
% 162.50/24.46    (breln = (^[X0 : $i, X1 : $i, X2 : $i] : (subset @ X2 @ (cartprod @ X0 @ X1))))),
% 162.50/24.46    inference(rectify,[status(thm)],[f184])).
% 162.50/24.46  thf(f184,axiom,(
% 162.50/24.46    (breln = (^[X3 : $i, X4 : $i, X5 : $i] : (subset @ X5 @ (cartprod @ X3 @ X4))))),
% 162.50/24.46    file('/export/starexec/sandbox/tmp/tmp.gExcApT4FL/DTF2THF_29531.p',breln)).
% 162.50/24.46  thf(f3630,plain,(
% 162.50/24.46    (breln1 = (^[Y0 : $i]: ((^[Y1 : $i]: (breln @ Y0 @ Y0 @ Y1)))))),
% 162.50/24.46    inference(cnf_transformation,[status(thm)],[f524])).
% 162.50/24.46  thf(f524,plain,(
% 162.50/24.46    (breln1 = (^[Y0 : $i]: ((^[Y1 : $i]: (breln @ Y0 @ Y0 @ Y1)))))),
% 162.50/24.46    inference(fool_elimination,[status(thm)],[f523])).
% 162.50/24.46  thf(f523,plain,(
% 162.50/24.46    ((^[X0 : $i, X1 : $i] : (breln @ X0 @ X0 @ X1)) = breln1)),
% 162.50/24.46    inference(rectify,[status(thm)],[f288])).
% 162.50/24.46  thf(f288,axiom,(
% 162.50/24.46    ((^[X3 : $i, X13 : $i] : (breln @ X3 @ X3 @ X13)) = breln1)),
% 162.50/24.46    file('/export/starexec/sandbox/tmp/tmp.gExcApT4FL/DTF2THF_29531.p',breln1)).
% 162.50/24.46  thf(f2931,plain,(
% 162.50/24.46    ($true != (breln1 @ sK50 @ (binunion @ sK49 @ sK51)))),
% 162.50/24.46    inference(cnf_transformation,[status(thm)],[f1401])).
% 162.50/24.46  thf(f64655,plain,(
% 162.50/24.46    ((binintersect @ (cartprod @ sK50 @ sK50) @ (binunion @ sK49 @ sK51)) = (binunion @ sK49 @ sK51)) | (~spl2630_231 | ~spl2630_311)),
% 162.50/24.46    inference(superposition,[status(thm)],[f53631,f50681])).
% 162.50/24.46  thf(f50681,plain,(
% 162.50/24.46    (sK49 = (binintersect @ (cartprod @ sK50 @ sK50) @ sK49)) | ~spl2630_231),
% 162.50/24.46    inference(trivial_inequality_removal,[status(thm)],[f50680])).
% 162.50/24.46  thf(f50680,plain,(
% 162.50/24.46    (sK49 = (binintersect @ (cartprod @ sK50 @ sK50) @ sK49)) | ($true = $false) | ~spl2630_231),
% 162.50/24.46    inference(forward_demodulation,[status(thm)],[f50673,f6543])).
% 162.50/24.46  thf(f6543,plain,(
% 162.50/24.46    ($false = (sP1520 @ $true))),
% 162.50/24.46    introduced(definition,[new_symbols(naming,[sP1520])],[inequality_splitting_name_introduction])).
% 162.50/24.46  thf(f50673,plain,(
% 162.50/24.46    ($true = (sP1520 @ $true)) | (sK49 = (binintersect @ (cartprod @ sK50 @ sK50) @ sK49)) | ~spl2630_231),
% 162.50/24.46    inference(superposition,[status(thm)],[f9543,f8412])).
% 162.50/24.46  thf(f8412,plain,(
% 162.50/24.46    ($true = (subset @ sK49 @ (cartprod @ sK50 @ sK50)))),
% 162.50/24.46    inference(beta_eta_normalization,[status(thm)],[f4546])).
% 162.50/24.46  thf(f4546,plain,(
% 162.50/24.46    ($true = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (subset @ Y4 @ (cartprod @ Y2 @ Y3))))))) @ Y0 @ Y0 @ Y1)))) @ sK50 @ sK49))),
% 162.50/24.46    inference(definition_unfolding,[status(thm)],[f2929,f4508])).
% 162.50/24.46  thf(f2929,plain,(
% 162.50/24.46    ((breln1 @ sK50 @ sK49) = $true)),
% 162.50/24.46    inference(cnf_transformation,[status(thm)],[f1401])).
% 162.50/24.46  thf(f9543,plain,(
% 162.50/24.46    ( ! [X0 : $i,X1 : $i] : (($true = (sP1520 @ (subset @ X1 @ X0))) | ((binintersect @ X0 @ X1) = X1)) ) | ~spl2630_231),
% 162.50/24.46    inference(avatar_component_clause,[status(thm)],[f9542])).
% 162.50/24.46  thf(f9542,definition,(
% 162.50/24.46    spl2630_231 <=> ! [X0 : $i,X1 : $i] : (((binintersect @ X0 @ X1) = X1) | ($true = (sP1520 @ (subset @ X1 @ X0))))),
% 162.50/24.46    introduced(definition,[new_symbols(naming,[spl2630_231])],[avatar_definition])).
% 162.50/24.46  thf(f53631,plain,(
% 162.50/24.46    ( ! [X0 : $i] : (((binunion @ (binintersect @ (cartprod @ sK50 @ sK50) @ X0) @ sK51) = (binintersect @ (cartprod @ sK50 @ sK50) @ (binunion @ X0 @ sK51)))) ) | (~spl2630_231 | ~spl2630_311)),
% 162.50/24.46    inference(superposition,[status(thm)],[f9879,f50694])).
% 162.50/24.46  thf(f50694,plain,(
% 162.50/24.46    ((binintersect @ (cartprod @ sK50 @ sK50) @ sK51) = sK51) | ~spl2630_231),
% 162.50/24.46    inference(trivial_inequality_removal,[status(thm)],[f50693])).
% 162.50/24.46  thf(f50693,plain,(
% 162.50/24.46    ($true = $false) | ((binintersect @ (cartprod @ sK50 @ sK50) @ sK51) = sK51) | ~spl2630_231),
% 162.50/24.46    inference(forward_demodulation,[status(thm)],[f50690,f6543])).
% 162.50/24.46  thf(f50690,plain,(
% 162.50/24.46    ((binintersect @ (cartprod @ sK50 @ sK50) @ sK51) = sK51) | ($true = (sP1520 @ $true)) | ~spl2630_231),
% 162.50/24.46    inference(superposition,[status(thm)],[f9543,f8512])).
% 162.50/24.46  thf(f8512,plain,(
% 162.50/24.46    ($true = (subset @ sK51 @ (cartprod @ sK50 @ sK50)))),
% 162.50/24.46    inference(beta_eta_normalization,[status(thm)],[f4545])).
% 162.50/24.46  thf(f4545,plain,(
% 162.50/24.46    ($true = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (subset @ Y4 @ (cartprod @ Y2 @ Y3))))))) @ Y0 @ Y0 @ Y1)))) @ sK50 @ sK51))),
% 162.50/24.46    inference(definition_unfolding,[status(thm)],[f2930,f4508])).
% 162.50/24.46  thf(f2930,plain,(
% 162.50/24.46    ($true = (breln1 @ sK50 @ sK51))),
% 162.50/24.46    inference(cnf_transformation,[status(thm)],[f1401])).
% 162.50/24.46  thf(f9879,plain,(
% 162.50/24.46    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((binintersect @ X0 @ (binunion @ X1 @ X2)) = (binunion @ (binintersect @ X0 @ X1) @ (binintersect @ X0 @ X2)))) ) | ~spl2630_311),
% 162.50/24.46    inference(avatar_component_clause,[status(thm)],[f9878])).
% 162.50/24.46  thf(f9878,definition,(
% 162.50/24.46    spl2630_311 <=> ! [X2 : $i,X0 : $i,X1 : $i] : ((binintersect @ X0 @ (binunion @ X1 @ X2)) = (binunion @ (binintersect @ X0 @ X1) @ (binintersect @ X0 @ X2)))),
% 162.50/24.46    introduced(definition,[new_symbols(naming,[spl2630_311])],[avatar_definition])).
% 162.50/24.46  thf(f11834,plain,(
% 162.50/24.46    ~spl2630_230),
% 162.50/24.46    inference(avatar_contradiction_clause,[status(thm)],[f11833])).
% 162.50/24.46  thf(f11833,plain,(
% 162.50/24.46    $false | ~spl2630_230),
% 162.50/24.46    inference(trivial_inequality_removal,[status(thm)],[f11832])).
% 162.50/24.46  thf(f11832,plain,(
% 162.50/24.46    ($true = $false) | ~spl2630_230),
% 162.50/24.46    inference(forward_demodulation,[status(thm)],[f9540,f6544])).
% 162.50/24.46  thf(f6544,plain,(
% 162.50/24.46    ($false = (sP1521 @ $true))),
% 162.50/24.46    introduced(definition,[new_symbols(naming,[sP1521])],[inequality_splitting_name_introduction])).
% 162.50/24.46  thf(f9540,plain,(
% 162.50/24.46    ($true = (sP1521 @ $true)) | ~spl2630_230),
% 162.50/24.46    inference(avatar_component_clause,[status(thm)],[f9538])).
% 162.50/24.46  thf(f9538,definition,(
% 162.50/24.46    spl2630_230 <=> ($true = (sP1521 @ $true))),
% 162.50/24.46    introduced(definition,[new_symbols(naming,[spl2630_230])],[avatar_definition])).
% 162.50/24.46  thf(f9884,plain,(
% 162.50/24.46    spl2630_311 | spl2630_312),
% 162.50/24.46    inference(avatar_split_clause,[status(thm)],[f7754,f9881,f9878])).
% 162.50/24.46  thf(f7754,plain,(
% 162.50/24.46    ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (sP2317 @ $true)) | ((binintersect @ X0 @ (binunion @ X1 @ X2)) = (binunion @ (binintersect @ X0 @ X1) @ (binintersect @ X0 @ X2)))) )),
% 162.50/24.46    inference(inequality_splitting,[status(thm)],[f5544,f7753])).
% 162.50/24.46  thf(f5544,plain,(
% 162.50/24.46    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((binintersect @ X0 @ (binunion @ X1 @ X2)) = (binunion @ (binintersect @ X0 @ X1) @ (binintersect @ X0 @ X2))) | ($true != $true)) )),
% 162.50/24.46    inference(definition_unfolding,[status(thm)],[f4268,f3111])).
% 162.50/24.46  thf(f3111,plain,(
% 162.50/24.46    (bs114d = $true)),
% 162.50/24.46    inference(cnf_transformation,[status(thm)],[f1401])).
% 162.50/24.46  thf(f4268,plain,(
% 162.50/24.46    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((binintersect @ X0 @ (binunion @ X1 @ X2)) = (binunion @ (binintersect @ X0 @ X1) @ (binintersect @ X0 @ X2))) | (bs114d != $true)) )),
% 162.50/24.46    inference(cnf_transformation,[status(thm)],[f2614])).
% 162.50/24.46  thf(f2614,plain,(
% 162.50/24.46    (! [X0 : $i,X1 : $i,X2 : $i] : ((binintersect @ X0 @ (binunion @ X1 @ X2)) = (binunion @ (binintersect @ X0 @ X1) @ (binintersect @ X0 @ X2))) | (bs114d != $true)) & ((bs114d = $true) | ((binintersect @ sK830 @ (binunion @ sK831 @ sK832)) != (binunion @ (binintersect @ sK830 @ sK831) @ (binintersect @ sK830 @ sK832))))),
% 162.50/24.46    inference(skolemisation,[status(esa),new_symbols(skolem,[sK830,sK831,sK832])],[f2612,f2613])).
% 162.50/24.46  thf(f2613,plain,(
% 162.50/24.46    ? [X3 : $i,X4 : $i,X5 : $i] : ((binintersect @ X3 @ (binunion @ X4 @ X5)) != (binunion @ (binintersect @ X3 @ X4) @ (binintersect @ X3 @ X5))) => ((binintersect @ sK830 @ (binunion @ sK831 @ sK832)) != (binunion @ (binintersect @ sK830 @ sK831) @ (binintersect @ sK830 @ sK832)))),
% 162.50/24.46    introduced(definition,[],[choice_axiom])).
% 162.50/24.46  thf(f2612,plain,(
% 162.50/24.46    (! [X0 : $i,X1 : $i,X2 : $i] : ((binintersect @ X0 @ (binunion @ X1 @ X2)) = (binunion @ (binintersect @ X0 @ X1) @ (binintersect @ X0 @ X2))) | (bs114d != $true)) & ((bs114d = $true) | ? [X3 : $i,X4 : $i,X5 : $i] : ((binintersect @ X3 @ (binunion @ X4 @ X5)) != (binunion @ (binintersect @ X3 @ X4) @ (binintersect @ X3 @ X5))))),
% 162.50/24.46    inference(rectify,[status(thm)],[f2611])).
% 162.50/24.46  thf(f2611,plain,(
% 162.50/24.46    (! [X0 : $i,X1 : $i,X2 : $i] : ((binintersect @ X0 @ (binunion @ X1 @ X2)) = (binunion @ (binintersect @ X0 @ X1) @ (binintersect @ X0 @ X2))) | (bs114d != $true)) & ((bs114d = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : ((binintersect @ X0 @ (binunion @ X1 @ X2)) != (binunion @ (binintersect @ X0 @ X1) @ (binintersect @ X0 @ X2))))),
% 162.50/24.46    inference(nnf_transformation,[status(thm)],[f724])).
% 162.50/24.46  thf(f724,plain,(
% 162.50/24.46    ! [X0 : $i,X1 : $i,X2 : $i] : ((binintersect @ X0 @ (binunion @ X1 @ X2)) = (binunion @ (binintersect @ X0 @ X1) @ (binintersect @ X0 @ X2))) <=> (bs114d = $true)),
% 162.50/24.46    inference(fool_elimination,[status(thm)],[f723])).
% 162.50/24.46  thf(f723,plain,(
% 162.50/24.46    (! [X0 : $i,X1 : $i,X2 : $i] : ((binintersect @ X0 @ (binunion @ X1 @ X2)) = (binunion @ (binintersect @ X0 @ X1) @ (binintersect @ X0 @ X2))) = bs114d)),
% 162.50/24.46    inference(rectify,[status(thm)],[f119])).
% 162.50/24.46  thf(f119,axiom,(
% 162.50/24.46    (! [X3 : $i,X4 : $i,X5 : $i] : ((binintersect @ X3 @ (binunion @ X4 @ X5)) = (binunion @ (binintersect @ X3 @ X4) @ (binintersect @ X3 @ X5))) = bs114d)),
% 162.50/24.46    file('/export/starexec/sandbox/tmp/tmp.gExcApT4FL/DTF2THF_29531.p',bs114d)).
% 162.50/24.46  thf(f9544,plain,(
% 162.50/24.46    spl2630_230 | spl2630_231),
% 162.50/24.46    inference(avatar_split_clause,[status(thm)],[f6545,f9542,f9538])).
% 162.50/24.46  thf(f6545,plain,(
% 162.50/24.46    ( ! [X0 : $i,X1 : $i] : (((binintersect @ X0 @ X1) = X1) | ($true = (sP1520 @ (subset @ X1 @ X0))) | ($true = (sP1521 @ $true))) )),
% 162.50/24.46    inference(inequality_splitting,[status(thm)],[f4925,f6544,f6543])).
% 162.50/24.46  thf(f4925,plain,(
% 162.50/24.46    ( ! [X0 : $i,X1 : $i] : (($true != (subset @ X1 @ X0)) | ((binintersect @ X0 @ X1) = X1) | ($true != $true)) )),
% 162.50/24.46    inference(definition_unfolding,[status(thm)],[f3602,f3147])).
% 162.50/24.46  thf(f3147,plain,(
% 162.50/24.46    (binintersectSubset4 = $true)),
% 162.50/24.46    inference(cnf_transformation,[status(thm)],[f1401])).
% 162.50/24.46  thf(f3602,plain,(
% 162.50/24.46    ( ! [X0 : $i,X1 : $i] : (($true != (subset @ X1 @ X0)) | ((binintersect @ X0 @ X1) = X1) | (binintersectSubset4 != $true)) )),
% 162.50/24.46    inference(cnf_transformation,[status(thm)],[f1868])).
% 162.50/24.46  thf(f1868,plain,(
% 162.50/24.46    (! [X0 : $i,X1 : $i] : (($true != (subset @ X1 @ X0)) | ((binintersect @ X0 @ X1) = X1)) | (binintersectSubset4 != $true)) & ((binintersectSubset4 = $true) | (($true = (subset @ sK346 @ sK345)) & (sK346 != (binintersect @ sK345 @ sK346))))),
% 162.50/24.46    inference(skolemisation,[status(esa),new_symbols(skolem,[sK345,sK346])],[f1866,f1867])).
% 162.50/24.46  thf(f1867,plain,(
% 162.50/24.46    ? [X2 : $i,X3 : $i] : (($true = (subset @ X3 @ X2)) & ((binintersect @ X2 @ X3) != X3)) => (($true = (subset @ sK346 @ sK345)) & (sK346 != (binintersect @ sK345 @ sK346)))),
% 162.50/24.46    introduced(definition,[],[choice_axiom])).
% 162.50/24.46  thf(f1866,plain,(
% 162.50/24.46    (! [X0 : $i,X1 : $i] : (($true != (subset @ X1 @ X0)) | ((binintersect @ X0 @ X1) = X1)) | (binintersectSubset4 != $true)) & ((binintersectSubset4 = $true) | ? [X2 : $i,X3 : $i] : (($true = (subset @ X3 @ X2)) & ((binintersect @ X2 @ X3) != X3)))),
% 162.50/24.46    inference(rectify,[status(thm)],[f1865])).
% 162.50/24.46  thf(f1865,plain,(
% 162.50/24.46    (! [X0 : $i,X1 : $i] : (($true != (subset @ X1 @ X0)) | ((binintersect @ X0 @ X1) = X1)) | (binintersectSubset4 != $true)) & ((binintersectSubset4 = $true) | ? [X0 : $i,X1 : $i] : (($true = (subset @ X1 @ X0)) & ((binintersect @ X0 @ X1) != X1)))),
% 162.50/24.46    inference(nnf_transformation,[status(thm)],[f1003])).
% 162.50/24.46  thf(f1003,plain,(
% 162.50/24.46    ! [X0 : $i,X1 : $i] : (($true != (subset @ X1 @ X0)) | ((binintersect @ X0 @ X1) = X1)) <=> (binintersectSubset4 = $true)),
% 162.50/24.46    inference(ennf_transformation,[status(thm)],[f311])).
% 162.50/24.46  thf(f311,plain,(
% 162.50/24.46    ! [X0 : $i,X1 : $i] : (($true = (subset @ X1 @ X0)) => ((binintersect @ X0 @ X1) = X1)) <=> (binintersectSubset4 = $true)),
% 162.50/24.46    inference(fool_elimination,[status(thm)],[f310])).
% 162.50/24.46  thf(f310,plain,(
% 162.50/24.46    (binintersectSubset4 = ! [X0 : $i,X1 : $i] : ((subset @ X1 @ X0) => ((binintersect @ X0 @ X1) = X1)))),
% 162.50/24.46    inference(rectify,[status(thm)],[f117])).
% 162.50/24.46  thf(f117,axiom,(
% 162.50/24.46    (binintersectSubset4 = ! [X3 : $i,X4 : $i] : ((subset @ X4 @ X3) => ((binintersect @ X3 @ X4) = X4)))),
% 162.50/24.46    file('/export/starexec/sandbox/tmp/tmp.gExcApT4FL/DTF2THF_29531.p',binintersectSubset4)).
% 162.50/24.46  % SZS output end Proof for DTF2THF_29531
% 162.50/24.46  % (30460)------------------------------
% 162.50/24.46  % (30460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 162.50/24.46  % (30460)Termination reason: Refutation
% 162.50/24.46  
% 162.50/24.46  % (30460)Memory used [KB]: 40169
% 162.50/24.46  % (30460)Time elapsed: 4.291 s
% 162.50/24.46  % (30460)Instructions burned: 8655 (million)
% 162.50/24.46  % (30460)------------------------------
% 162.50/24.46  % (30460)------------------------------
% 162.50/24.46  % (29815)Success in time 22.869 s
%------------------------------------------------------------------------------