TPTP Problem File: SYN520+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN520+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=5, R=1, L=175, K=3, D=2, P=0, Index=060
% Version : Especial.
% English :
% Refs : [OS95] Ohlbach & Schmidt (1995), Functional Translation and S
% : [HS97] Hustadt & Schmidt (1997), On Evaluating Decision Proce
% : [Wei97] Weidenbach (1997), Email to G. Sutcliffe
% Source : [Wei97]
% Names : alc-5-1-175-3-2-060.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v6.2.0, 0.14 v6.1.0, 0.00 v5.5.0, 0.30 v5.4.0, 0.20 v5.3.0, 0.25 v5.0.0, 0.00 v4.1.0, 0.67 v4.0.1, 0.33 v3.7.0, 0.00 v3.5.0, 0.25 v3.4.0, 0.50 v3.3.0, 0.17 v3.2.0, 0.50 v3.1.0, 0.67 v2.7.0, 0.83 v2.6.0, 0.75 v2.5.0, 0.67 v2.2.1, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 1363 ( 0 equ)
% Maximal formula atoms : 1363 (1363 avg)
% Number of connectives : 1850 ( 488 ~; 504 |; 677 &)
% ( 0 <=>; 181 =>; 0 <=; 0 <~>)
% Maximal formula depth : 150 ( 150 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 17 usr; 6 prp; 0-2 aty)
% Number of functors : 204 ( 204 usr; 204 con; 0-0 aty)
% Number of variables : 181 ( 181 !; 0 ?)
% SPC : FOF_CSA_EPR_NEQ
% Comments : These ALC problems have been translated from propositional
% multi-modal K logic formulae generated according to the scheme
% described in [HS97], using the optimized functional translation
% described in [OS95]. The finite model property holds, the
% Herbrand Universe is finite, they are decidable (the complexity
% is PSPACE-complete), resolution + subsumption + condensing is a
% decision procedure, and the translated formulae belong to the
% (CNF-translation of the) Bernays-Schoenfinkel class [Wei97].
%--------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( ! [U] :
( ndr1_0
=> ( ( ndr1_1(U)
& ~ c5_2(U,a1323)
& ~ c1_2(U,a1323) )
| ! [V] :
( ndr1_1(U)
=> ( ~ c1_2(U,V)
| ~ c2_2(U,V) ) )
| ! [W] :
( ndr1_1(U)
=> ( c4_2(U,W)
| ~ c3_2(U,W) ) ) ) )
| ~ c5_0
| ! [X] :
( ndr1_0
=> c2_1(X) ) )
& ( ! [Y] :
( ndr1_0
=> ( ( ndr1_1(Y)
& c3_2(Y,a1324)
& c4_2(Y,a1324)
& c5_2(Y,a1324) )
| ~ c4_1(Y)
| c3_1(Y) ) )
| ( ndr1_0
& ~ c1_1(a1325)
& c2_1(a1325)
& ~ c4_1(a1325) ) )
& ( ~ c4_0
| ! [Z] :
( ndr1_0
=> ( c5_1(Z)
| ~ c4_1(Z)
| ( ndr1_1(Z)
& c5_2(Z,a1326)
& c2_2(Z,a1326)
& ~ c4_2(Z,a1326) ) ) ) )
& ( ( ndr1_0
& ! [X1] :
( ndr1_1(a1327)
=> ( c3_2(a1327,X1)
| c1_2(a1327,X1)
| c2_2(a1327,X1) ) )
& c3_1(a1327)
& ndr1_1(a1327)
& ~ c5_2(a1327,a1328)
& c3_2(a1327,a1328)
& c4_2(a1327,a1328) )
| ! [X2] :
( ndr1_0
=> ( ( ndr1_1(X2)
& ~ c1_2(X2,a1329)
& ~ c4_2(X2,a1329)
& c2_2(X2,a1329) )
| ( ndr1_1(X2)
& c1_2(X2,a1330)
& ~ c2_2(X2,a1330)
& c3_2(X2,a1330) )
| ( ndr1_1(X2)
& c3_2(X2,a1331)
& c2_2(X2,a1331) ) ) )
| ~ c5_0 )
& ( ~ c2_0
| ~ c4_0
| ~ c3_0 )
& ( c1_0
| ~ c4_0
| ( ndr1_0
& c2_1(a1332)
& ~ c1_1(a1332)
& ~ c4_1(a1332) ) )
& ( c5_0
| ~ c3_0
| ( ndr1_0
& c1_1(a1333)
& ! [X3] :
( ndr1_1(a1333)
=> ( c4_2(a1333,X3)
| ~ c1_2(a1333,X3)
| ~ c3_2(a1333,X3) ) )
& ndr1_1(a1333)
& ~ c1_2(a1333,a1334)
& c5_2(a1333,a1334)
& c4_2(a1333,a1334) ) )
& ( ~ c2_0
| c3_0
| ! [X4] :
( ndr1_0
=> ( c4_1(X4)
| ! [X5] :
( ndr1_1(X4)
=> ( ~ c2_2(X4,X5)
| ~ c5_2(X4,X5)
| c4_2(X4,X5) ) )
| c5_1(X4) ) ) )
& ( ( ndr1_0
& ! [X6] :
( ndr1_1(a1335)
=> ( c3_2(a1335,X6)
| ~ c5_2(a1335,X6) ) )
& ndr1_1(a1335)
& c5_2(a1335,a1336)
& ~ c2_2(a1335,a1336)
& ~ c4_2(a1335,a1336)
& ~ c3_1(a1335) )
| ~ c3_0
| ( ndr1_0
& ~ c5_1(a1337)
& ~ c4_1(a1337) ) )
& ( ~ c1_0
| ( ndr1_0
& ~ c4_1(a1338)
& ! [X7] :
( ndr1_1(a1338)
=> ( ~ c2_2(a1338,X7)
| ~ c3_2(a1338,X7)
| ~ c5_2(a1338,X7) ) )
& ~ c2_1(a1338) ) )
& ( ( ndr1_0
& c5_1(a1339)
& ~ c1_1(a1339)
& ! [X8] :
( ndr1_1(a1339)
=> ( ~ c1_2(a1339,X8)
| ~ c5_2(a1339,X8)
| c4_2(a1339,X8) ) ) )
| ~ c1_0 )
& ( ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| ( ndr1_1(X9)
& ~ c4_2(X9,a1340)
& ~ c2_2(X9,a1340) )
| ( ndr1_1(X9)
& c5_2(X9,a1341)
& ~ c4_2(X9,a1341) ) ) )
| ~ c3_0
| c4_0 )
& ( ~ c4_0
| ! [X10] :
( ndr1_0
=> ( ~ c2_1(X10)
| ~ c5_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( ~ c5_1(X11)
| ~ c2_1(X11) ) ) )
& ( ( ndr1_0
& ndr1_1(a1342)
& c1_2(a1342,a1343)
& c3_2(a1342,a1343)
& ~ c4_2(a1342,a1343)
& ~ c4_1(a1342)
& ndr1_1(a1342)
& c2_2(a1342,a1344)
& ~ c1_2(a1342,a1344)
& ~ c5_2(a1342,a1344) )
| ( ndr1_0
& ~ c5_1(a1345)
& ~ c1_1(a1345)
& c3_1(a1345) )
| c3_0 )
& ( c1_0
| ~ c2_0
| c5_0 )
& ( c2_0
| ( ndr1_0
& c3_1(a1346)
& ~ c4_1(a1346)
& c2_1(a1346) )
| ! [X12] :
( ndr1_0
=> ( ~ c5_1(X12)
| c4_1(X12)
| ! [X13] :
( ndr1_1(X12)
=> ( c4_2(X12,X13)
| ~ c3_2(X12,X13) ) ) ) ) )
& ( ! [X14] :
( ndr1_0
=> ( ! [X15] :
( ndr1_1(X14)
=> ( ~ c4_2(X14,X15)
| c2_2(X14,X15)
| ~ c5_2(X14,X15) ) )
| ( ndr1_1(X14)
& ~ c5_2(X14,a1347)
& c4_2(X14,a1347)
& c1_2(X14,a1347) )
| c1_1(X14) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c5_1(X16)
| c3_1(X16)
| ~ c4_1(X16) ) )
| c5_0 )
& ( ( ndr1_0
& ~ c4_1(a1348)
& ! [X17] :
( ndr1_1(a1348)
=> ( c1_2(a1348,X17)
| ~ c4_2(a1348,X17)
| ~ c5_2(a1348,X17) ) )
& ndr1_1(a1348)
& ~ c4_2(a1348,a1349)
& ~ c3_2(a1348,a1349)
& ~ c1_2(a1348,a1349) )
| ! [X18] :
( ndr1_0
=> ( c2_1(X18)
| ~ c3_1(X18) ) )
| ~ c4_0 )
& ( c3_0
| c2_0 )
& ( c2_0
| ( ndr1_0
& c5_1(a1350)
& ~ c2_1(a1350) ) )
& ( ( ndr1_0
& ~ c1_1(a1351)
& ~ c5_1(a1351) )
| ! [X19] :
( ndr1_0
=> ( ~ c3_1(X19)
| c5_1(X19)
| ~ c4_1(X19) ) )
| c3_0 )
& ( ~ c2_0
| ( ndr1_0
& ~ c4_1(a1352)
& ! [X20] :
( ndr1_1(a1352)
=> ( ~ c5_2(a1352,X20)
| c4_2(a1352,X20)
| c1_2(a1352,X20) ) )
& ndr1_1(a1352)
& ~ c4_2(a1352,a1353)
& c5_2(a1352,a1353)
& ~ c3_2(a1352,a1353) )
| ! [X21] :
( ndr1_0
=> ( ~ c2_1(X21)
| ( ndr1_1(X21)
& ~ c3_2(X21,a1354)
& c1_2(X21,a1354)
& ~ c5_2(X21,a1354) )
| ~ c5_1(X21) ) ) )
& ( ~ c4_0
| ! [X22] :
( ndr1_0
=> ( ~ c1_1(X22)
| ~ c5_1(X22)
| ~ c4_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( ! [X24] :
( ndr1_1(X23)
=> c2_2(X23,X24) )
| ( ndr1_1(X23)
& c2_2(X23,a1355)
& c5_2(X23,a1355)
& ~ c1_2(X23,a1355) )
| ~ c5_1(X23) ) ) )
& ( ~ c3_0
| ~ c2_0
| c4_0 )
& ( ~ c5_0
| ! [X25] :
( ndr1_0
=> ( ~ c4_1(X25)
| ! [X26] :
( ndr1_1(X25)
=> ( c3_2(X25,X26)
| c4_2(X25,X26) ) )
| ( ndr1_1(X25)
& c5_2(X25,a1356)
& c4_2(X25,a1356)
& c2_2(X25,a1356) ) ) )
| c2_0 )
& ( ~ c5_0
| c3_0 )
& ( ! [X27] :
( ndr1_0
=> ( ( ndr1_1(X27)
& ~ c4_2(X27,a1357)
& c5_2(X27,a1357)
& c1_2(X27,a1357) )
| ( ndr1_1(X27)
& c3_2(X27,a1358)
& c2_2(X27,a1358)
& c1_2(X27,a1358) )
| c1_1(X27) ) )
| c4_0
| ! [X28] :
( ndr1_0
=> ( ! [X29] :
( ndr1_1(X28)
=> ( ~ c3_2(X28,X29)
| ~ c4_2(X28,X29) ) )
| ~ c4_1(X28) ) ) )
& ( ~ c4_0
| c5_0
| c1_0 )
& ( ( ndr1_0
& c2_1(a1359)
& ! [X30] :
( ndr1_1(a1359)
=> ( ~ c3_2(a1359,X30)
| c1_2(a1359,X30)
| c5_2(a1359,X30) ) )
& ndr1_1(a1359)
& ~ c2_2(a1359,a1360)
& ~ c1_2(a1359,a1360)
& ~ c3_2(a1359,a1360) )
| ( ndr1_0
& ~ c1_1(a1361)
& ~ c5_1(a1361) ) )
& ( ~ c3_0
| c5_0
| ~ c4_0 )
& ( ~ c2_0
| ! [X31] :
( ndr1_0
=> ( ! [X32] :
( ndr1_1(X31)
=> ( ~ c5_2(X31,X32)
| c2_2(X31,X32)
| ~ c4_2(X31,X32) ) )
| ( ndr1_1(X31)
& c3_2(X31,a1362)
& c2_2(X31,a1362)
& c5_2(X31,a1362) )
| c1_1(X31) ) ) )
& ( c1_0
| ( ndr1_0
& ! [X33] :
( ndr1_1(a1363)
=> ( ~ c3_2(a1363,X33)
| c2_2(a1363,X33) ) )
& ndr1_1(a1363)
& ~ c2_2(a1363,a1364)
& c5_2(a1363,a1364)
& c1_2(a1363,a1364)
& ~ c2_1(a1363) )
| ~ c3_0 )
& ( ~ c4_0
| ( ndr1_0
& ! [X34] :
( ndr1_1(a1365)
=> ( ~ c5_2(a1365,X34)
| c2_2(a1365,X34)
| c1_2(a1365,X34) ) )
& ! [X35] :
( ndr1_1(a1365)
=> ( c1_2(a1365,X35)
| ~ c4_2(a1365,X35)
| c3_2(a1365,X35) ) )
& c3_1(a1365) )
| ( ndr1_0
& ~ c3_1(a1366)
& ~ c1_1(a1366) ) )
& ( ( ndr1_0
& c4_1(a1367)
& ! [X36] :
( ndr1_1(a1367)
=> ( c3_2(a1367,X36)
| ~ c1_2(a1367,X36)
| ~ c4_2(a1367,X36) ) )
& ! [X37] :
( ndr1_1(a1367)
=> ( ~ c3_2(a1367,X37)
| c5_2(a1367,X37) ) ) )
| ~ c5_0
| ~ c4_0 )
& ( ~ c3_0
| ~ c2_0
| c1_0 )
& ( c3_0
| ( ndr1_0
& c2_1(a1368)
& ~ c1_1(a1368)
& ndr1_1(a1368)
& ~ c4_2(a1368,a1369)
& ~ c3_2(a1368,a1369)
& c1_2(a1368,a1369) ) )
& ( ! [X38] :
( ndr1_0
=> ( c4_1(X38)
| ! [X39] :
( ndr1_1(X38)
=> ( ~ c4_2(X38,X39)
| c2_2(X38,X39)
| ~ c5_2(X38,X39) ) ) ) )
| c2_0
| c1_0 )
& ( ( ndr1_0
& ! [X40] :
( ndr1_1(a1370)
=> ( ~ c2_2(a1370,X40)
| ~ c3_2(a1370,X40)
| ~ c5_2(a1370,X40) ) )
& ~ c2_1(a1370)
& c4_1(a1370) )
| ! [X41] :
( ndr1_0
=> ( ( ndr1_1(X41)
& ~ c1_2(X41,a1371)
& ~ c2_2(X41,a1371)
& c3_2(X41,a1371) )
| c3_1(X41)
| ( ndr1_1(X41)
& c1_2(X41,a1372)
& ~ c2_2(X41,a1372)
& c5_2(X41,a1372) ) ) )
| ~ c5_0 )
& ( ! [X42] :
( ndr1_0
=> ( ! [X43] :
( ndr1_1(X42)
=> ( c5_2(X42,X43)
| c4_2(X42,X43) ) )
| ! [X44] :
( ndr1_1(X42)
=> ( c1_2(X42,X44)
| c5_2(X42,X44)
| ~ c3_2(X42,X44) ) )
| c4_1(X42) ) )
| ! [X45] :
( ndr1_0
=> ( c5_1(X45)
| ! [X46] :
( ndr1_1(X45)
=> ( c2_2(X45,X46)
| ~ c1_2(X45,X46)
| c5_2(X45,X46) ) ) ) )
| c3_0 )
& ( c5_0
| c1_0
| ! [X47] :
( ndr1_0
=> ( ( ndr1_1(X47)
& ~ c1_2(X47,a1373)
& c3_2(X47,a1373)
& c2_2(X47,a1373) )
| ( ndr1_1(X47)
& ~ c1_2(X47,a1374)
& c4_2(X47,a1374)
& ~ c5_2(X47,a1374) )
| c1_1(X47) ) ) )
& ( ! [X48] :
( ndr1_0
=> ( ( ndr1_1(X48)
& c3_2(X48,a1375)
& ~ c2_2(X48,a1375)
& c1_2(X48,a1375) )
| ( ndr1_1(X48)
& c5_2(X48,a1376)
& ~ c2_2(X48,a1376) )
| ( ndr1_1(X48)
& ~ c3_2(X48,a1377)
& c5_2(X48,a1377)
& ~ c2_2(X48,a1377) ) ) )
| c2_0
| ( ndr1_0
& ! [X49] :
( ndr1_1(a1378)
=> ( c1_2(a1378,X49)
| c5_2(a1378,X49) ) )
& ~ c3_1(a1378) ) )
& ( ! [X50] :
( ndr1_0
=> ( ~ c2_1(X50)
| c5_1(X50)
| c3_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( ( ndr1_1(X51)
& ~ c1_2(X51,a1379)
& ~ c5_2(X51,a1379)
& c2_2(X51,a1379) )
| ! [X52] :
( ndr1_1(X51)
=> ( c4_2(X51,X52)
| c5_2(X51,X52)
| c3_2(X51,X52) ) )
| c2_1(X51) ) )
| c4_0 )
& ( ~ c5_0
| ( ndr1_0
& ~ c3_1(a1380)
& ! [X53] :
( ndr1_1(a1380)
=> ( c1_2(a1380,X53)
| ~ c3_2(a1380,X53)
| ~ c5_2(a1380,X53) ) ) ) )
& ( ! [X54] :
( ndr1_0
=> ( ( ndr1_1(X54)
& c4_2(X54,a1381)
& c1_2(X54,a1381)
& c3_2(X54,a1381) )
| ( ndr1_1(X54)
& c2_2(X54,a1382)
& ~ c3_2(X54,a1382)
& ~ c4_2(X54,a1382) )
| c2_1(X54) ) )
| ~ c3_0
| ~ c5_0 )
& ( c2_0
| ! [X55] :
( ndr1_0
=> ( ( ndr1_1(X55)
& c5_2(X55,a1383)
& c1_2(X55,a1383) )
| ~ c5_1(X55) ) )
| c3_0 )
& ( ~ c2_0
| ~ c3_0 )
& ( ! [X56] :
( ndr1_0
=> ( ( ndr1_1(X56)
& c5_2(X56,a1384)
& c3_2(X56,a1384) )
| c1_1(X56) ) )
| ~ c2_0 )
& ( ! [X57] :
( ndr1_0
=> ( ~ c5_1(X57)
| ~ c2_1(X57)
| ! [X58] :
( ndr1_1(X57)
=> ( c2_2(X57,X58)
| c3_2(X57,X58)
| c5_2(X57,X58) ) ) ) )
| ( ndr1_0
& c4_1(a1385)
& ~ c2_1(a1385)
& ndr1_1(a1385)
& ~ c2_2(a1385,a1386)
& c5_2(a1385,a1386) ) )
& ( c3_0
| ~ c4_0
| ! [X59] :
( ndr1_0
=> ( ( ndr1_1(X59)
& ~ c5_2(X59,a1387)
& c1_2(X59,a1387)
& c2_2(X59,a1387) )
| ! [X60] :
( ndr1_1(X59)
=> ( ~ c5_2(X59,X60)
| c3_2(X59,X60) ) )
| ! [X61] :
( ndr1_1(X59)
=> ( c4_2(X59,X61)
| c1_2(X59,X61) ) ) ) ) )
& ( ( ndr1_0
& ! [X62] :
( ndr1_1(a1388)
=> ( ~ c2_2(a1388,X62)
| ~ c4_2(a1388,X62) ) )
& ~ c1_1(a1388) )
| ~ c4_0
| ( ndr1_0
& ~ c5_1(a1389)
& ~ c2_1(a1389)
& ~ c4_1(a1389) ) )
& ( c5_0
| ( ndr1_0
& c2_1(a1390)
& ndr1_1(a1390)
& ~ c4_2(a1390,a1391)
& c5_2(a1390,a1391)
& ~ c3_1(a1390) )
| ~ c1_0 )
& ( ( ndr1_0
& ~ c3_1(a1392)
& ndr1_1(a1392)
& ~ c4_2(a1392,a1393)
& ~ c1_2(a1392,a1393)
& c3_2(a1392,a1393)
& ndr1_1(a1392)
& c5_2(a1392,a1394)
& ~ c2_2(a1392,a1394)
& c4_2(a1392,a1394) )
| ! [X63] :
( ndr1_0
=> ( ! [X64] :
( ndr1_1(X63)
=> ( ~ c5_2(X63,X64)
| ~ c2_2(X63,X64)
| c3_2(X63,X64) ) )
| ~ c5_1(X63)
| ~ c1_1(X63) ) )
| c5_0 )
& ( ! [X65] :
( ndr1_0
=> ~ c1_1(X65) )
| ! [X66] :
( ndr1_0
=> ( ! [X67] :
( ndr1_1(X66)
=> ( ~ c2_2(X66,X67)
| c3_2(X66,X67)
| c1_2(X66,X67) ) )
| ! [X68] :
( ndr1_1(X66)
=> ( c1_2(X66,X68)
| c4_2(X66,X68) ) )
| ~ c2_1(X66) ) )
| ! [X69] :
( ndr1_0
=> ( ( ndr1_1(X69)
& c3_2(X69,a1395)
& c2_2(X69,a1395) )
| ! [X70] :
( ndr1_1(X69)
=> ( c3_2(X69,X70)
| c5_2(X69,X70) ) )
| ~ c3_1(X69) ) ) )
& ( ! [X71] :
( ndr1_0
=> ( ( ndr1_1(X71)
& c1_2(X71,a1396)
& ~ c2_2(X71,a1396)
& ~ c5_2(X71,a1396) )
| ~ c1_1(X71)
| ! [X72] :
( ndr1_1(X71)
=> ( ~ c4_2(X71,X72)
| ~ c3_2(X71,X72) ) ) ) )
| ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| c2_1(X73)
| c5_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c5_1(X74)
| ! [X75] :
( ndr1_1(X74)
=> ( ~ c4_2(X74,X75)
| ~ c2_2(X74,X75)
| ~ c1_2(X74,X75) ) )
| ! [X76] :
( ndr1_1(X74)
=> ( ~ c5_2(X74,X76)
| ~ c3_2(X74,X76) ) ) ) ) )
& ( c5_0
| ~ c2_0
| ~ c3_0 )
& ( ! [X77] :
( ndr1_0
=> ( ! [X78] :
( ndr1_1(X77)
=> ( c5_2(X77,X78)
| ~ c2_2(X77,X78)
| c4_2(X77,X78) ) )
| ~ c2_1(X77)
| ( ndr1_1(X77)
& c2_2(X77,a1397)
& ~ c3_2(X77,a1397)
& ~ c1_2(X77,a1397) ) ) )
| ~ c4_0
| ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| ( ndr1_1(X79)
& ~ c1_2(X79,a1398)
& ~ c4_2(X79,a1398)
& ~ c5_2(X79,a1398) ) ) ) )
& ( ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| ~ c3_1(X80)
| ( ndr1_1(X80)
& c1_2(X80,a1399)
& ~ c5_2(X80,a1399) ) ) )
| ( ndr1_0
& c4_1(a1400)
& c2_1(a1400)
& ndr1_1(a1400)
& ~ c1_2(a1400,a1401)
& c2_2(a1400,a1401)
& ~ c3_2(a1400,a1401) )
| ~ c4_0 )
& ( ~ c5_0
| ( ndr1_0
& c3_1(a1402)
& ndr1_1(a1402)
& ~ c4_2(a1402,a1403)
& ~ c3_2(a1402,a1403)
& ~ c2_2(a1402,a1403)
& ndr1_1(a1402)
& c3_2(a1402,a1404)
& ~ c1_2(a1402,a1404)
& ~ c2_2(a1402,a1404) )
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ( ndr1_1(X81)
& ~ c4_2(X81,a1405)
& ~ c5_2(X81,a1405) )
| c1_1(X81) ) ) )
& ( ~ c4_0
| ( ndr1_0
& ~ c5_1(a1406)
& ndr1_1(a1406)
& c5_2(a1406,a1407)
& ~ c1_2(a1406,a1407)
& ~ c2_2(a1406,a1407)
& ndr1_1(a1406)
& ~ c2_2(a1406,a1408)
& ~ c1_2(a1406,a1408)
& c5_2(a1406,a1408) )
| c2_0 )
& ( c1_0
| ( ndr1_0
& ~ c3_1(a1409)
& ! [X82] :
( ndr1_1(a1409)
=> ( ~ c4_2(a1409,X82)
| c1_2(a1409,X82)
| c2_2(a1409,X82) ) )
& ! [X83] :
( ndr1_1(a1409)
=> ( ~ c5_2(a1409,X83)
| ~ c1_2(a1409,X83)
| ~ c4_2(a1409,X83) ) ) ) )
& ( c4_0
| ! [X84] :
( ndr1_0
=> ( ~ c4_1(X84)
| c2_1(X84)
| ( ndr1_1(X84)
& c5_2(X84,a1410)
& ~ c1_2(X84,a1410) ) ) ) )
& ( c3_0
| ! [X85] :
( ndr1_0
=> ( ( ndr1_1(X85)
& ~ c1_2(X85,a1411)
& c2_2(X85,a1411)
& ~ c4_2(X85,a1411) )
| ! [X86] :
( ndr1_1(X85)
=> ( c1_2(X85,X86)
| c3_2(X85,X86) ) ) ) )
| ( ndr1_0
& c4_1(a1412)
& ! [X87] :
( ndr1_1(a1412)
=> ( c1_2(a1412,X87)
| c5_2(a1412,X87)
| ~ c3_2(a1412,X87) ) )
& ~ c5_1(a1412) ) )
& ( ! [X88] :
( ndr1_0
=> ( ( ndr1_1(X88)
& ~ c2_2(X88,a1413)
& c5_2(X88,a1413)
& c4_2(X88,a1413) )
| c3_1(X88)
| ! [X89] :
( ndr1_1(X88)
=> ( ~ c1_2(X88,X89)
| c5_2(X88,X89)
| ~ c4_2(X88,X89) ) ) ) )
| ! [X90] :
( ndr1_0
=> ( ( ndr1_1(X90)
& c2_2(X90,a1414)
& c4_2(X90,a1414)
& c5_2(X90,a1414) )
| c3_1(X90)
| c2_1(X90) ) )
| c2_0 )
& ( ~ c4_0
| ! [X91] :
( ndr1_0
=> ( ( ndr1_1(X91)
& c3_2(X91,a1415)
& ~ c4_2(X91,a1415) )
| ~ c3_1(X91)
| ~ c2_1(X91) ) )
| ~ c5_0 )
& ( ( ndr1_0
& ~ c2_1(a1416)
& c3_1(a1416)
& c4_1(a1416) )
| c1_0
| ~ c2_0 )
& ( c3_0
| ~ c2_0 )
& ( ! [X92] :
( ndr1_0
=> ( c4_1(X92)
| ~ c2_1(X92)
| ( ndr1_1(X92)
& ~ c2_2(X92,a1417)
& c1_2(X92,a1417)
& c3_2(X92,a1417) ) ) )
| ( ndr1_0
& c2_1(a1418)
& ! [X93] :
( ndr1_1(a1418)
=> ( ~ c5_2(a1418,X93)
| c1_2(a1418,X93)
| c4_2(a1418,X93) ) )
& ndr1_1(a1418)
& ~ c5_2(a1418,a1419)
& c4_2(a1418,a1419) )
| ~ c5_0 )
& ( c4_0
| ~ c1_0
| c5_0 )
& ( c4_0
| ~ c5_0
| ( ndr1_0
& ndr1_1(a1420)
& c3_2(a1420,a1421)
& ~ c5_2(a1420,a1421)
& c1_2(a1420,a1421)
& ndr1_1(a1420)
& ~ c5_2(a1420,a1422)
& c4_2(a1420,a1422)
& c3_2(a1420,a1422)
& ! [X94] :
( ndr1_1(a1420)
=> ( c1_2(a1420,X94)
| ~ c4_2(a1420,X94)
| ~ c2_2(a1420,X94) ) ) ) )
& ( c5_0
| ~ c4_0
| ( ndr1_0
& ! [X95] :
( ndr1_1(a1423)
=> ( ~ c2_2(a1423,X95)
| ~ c3_2(a1423,X95) ) )
& c1_1(a1423) ) )
& ( ( ndr1_0
& ~ c1_1(a1424)
& ! [X96] :
( ndr1_1(a1424)
=> ( ~ c4_2(a1424,X96)
| c1_2(a1424,X96)
| c3_2(a1424,X96) ) )
& c4_1(a1424) )
| c2_0 )
& ( ~ c4_0
| ! [X97] :
( ndr1_0
=> ( c2_1(X97)
| ~ c3_1(X97) ) ) )
& ( c1_0
| ~ c4_0
| ( ndr1_0
& ndr1_1(a1425)
& ~ c3_2(a1425,a1426)
& ~ c2_2(a1425,a1426)
& ~ c1_2(a1425,a1426)
& ndr1_1(a1425)
& c4_2(a1425,a1427)
& ~ c5_2(a1425,a1427)
& ~ c1_2(a1425,a1427)
& ! [X98] :
( ndr1_1(a1425)
=> ( ~ c3_2(a1425,X98)
| c5_2(a1425,X98)
| c2_2(a1425,X98) ) ) ) )
& ( ( ndr1_0
& c2_1(a1428)
& ndr1_1(a1428)
& c4_2(a1428,a1429)
& ~ c3_2(a1428,a1429)
& c2_2(a1428,a1429)
& ! [X99] :
( ndr1_1(a1428)
=> ( c2_2(a1428,X99)
| ~ c1_2(a1428,X99) ) ) )
| ( ndr1_0
& ndr1_1(a1430)
& c1_2(a1430,a1431)
& c2_2(a1430,a1431)
& c5_2(a1430,a1431)
& c2_1(a1430)
& ndr1_1(a1430)
& ~ c1_2(a1430,a1432)
& ~ c4_2(a1430,a1432)
& ~ c2_2(a1430,a1432) )
| ! [X100] :
( ndr1_0
=> ( ( ndr1_1(X100)
& ~ c3_2(X100,a1433)
& c5_2(X100,a1433)
& c2_2(X100,a1433) )
| c3_1(X100) ) ) )
& ( ( ndr1_0
& ! [X101] :
( ndr1_1(a1434)
=> ( c4_2(a1434,X101)
| c1_2(a1434,X101) ) )
& c2_1(a1434)
& ! [X102] :
( ndr1_1(a1434)
=> ( c1_2(a1434,X102)
| c3_2(a1434,X102)
| c5_2(a1434,X102) ) ) )
| ! [X103] :
( ndr1_0
=> ( ( ndr1_1(X103)
& ~ c4_2(X103,a1435)
& c2_2(X103,a1435) )
| c2_1(X103)
| ! [X104] :
( ndr1_1(X103)
=> ( ~ c4_2(X103,X104)
| c5_2(X103,X104)
| c3_2(X103,X104) ) ) ) ) )
& ( c3_0
| c1_0
| ~ c5_0 )
& ( c5_0
| c4_0
| ( ndr1_0
& ! [X105] :
( ndr1_1(a1436)
=> ( ~ c2_2(a1436,X105)
| c1_2(a1436,X105)
| c4_2(a1436,X105) ) )
& ndr1_1(a1436)
& ~ c4_2(a1436,a1437)
& ~ c2_2(a1436,a1437)
& c1_2(a1436,a1437)
& ! [X106] :
( ndr1_1(a1436)
=> ( c3_2(a1436,X106)
| ~ c2_2(a1436,X106)
| c5_2(a1436,X106) ) ) ) )
& ( ~ c3_0
| ( ndr1_0
& ! [X107] :
( ndr1_1(a1438)
=> ( c2_2(a1438,X107)
| ~ c3_2(a1438,X107)
| ~ c5_2(a1438,X107) ) )
& c1_1(a1438) )
| ( ndr1_0
& ndr1_1(a1439)
& ~ c4_2(a1439,a1440)
& ~ c3_2(a1439,a1440)
& ndr1_1(a1439)
& c1_2(a1439,a1441)
& c5_2(a1439,a1441)
& c3_2(a1439,a1441)
& c3_1(a1439) ) )
& ( c1_0
| c3_0 )
& ( ( ndr1_0
& ! [X108] :
( ndr1_1(a1442)
=> ( c3_2(a1442,X108)
| c4_2(a1442,X108)
| ~ c2_2(a1442,X108) ) )
& c3_1(a1442)
& c2_1(a1442) )
| ~ c3_0 )
& ( ! [X109] :
( ndr1_0
=> ( ! [X110] :
( ndr1_1(X109)
=> ( c2_2(X109,X110)
| c5_2(X109,X110)
| ~ c4_2(X109,X110) ) )
| ! [X111] :
( ndr1_1(X109)
=> ( ~ c1_2(X109,X111)
| c2_2(X109,X111)
| ~ c4_2(X109,X111) ) )
| ~ c1_1(X109) ) )
| c2_0
| ( ndr1_0
& ndr1_1(a1443)
& c3_2(a1443,a1444)
& c1_2(a1443,a1444)
& ~ c4_2(a1443,a1444)
& ~ c3_1(a1443) ) )
& ~ c5_0
& ( ( ndr1_0
& ~ c5_1(a1445)
& ~ c1_1(a1445) )
| ~ c3_0
| ~ c4_0 )
& ( ( ndr1_0
& ~ c5_1(a1446)
& ~ c3_1(a1446)
& ! [X112] :
( ndr1_1(a1446)
=> ( c3_2(a1446,X112)
| ~ c1_2(a1446,X112)
| ~ c5_2(a1446,X112) ) ) )
| c1_0 )
& ( ( ndr1_0
& c2_1(a1447)
& ndr1_1(a1447)
& c5_2(a1447,a1448)
& c3_2(a1447,a1448)
& ~ c1_2(a1447,a1448)
& ndr1_1(a1447)
& ~ c5_2(a1447,a1449)
& ~ c3_2(a1447,a1449)
& ~ c4_2(a1447,a1449) )
| ~ c4_0
| ( ndr1_0
& ndr1_1(a1450)
& ~ c5_2(a1450,a1451) ) )
& ( ( ndr1_0
& ~ c5_1(a1452)
& ndr1_1(a1452)
& c2_2(a1452,a1453)
& ~ c1_2(a1452,a1453) )
| c2_0
| ~ c3_0 )
& ( ( ndr1_0
& ~ c5_1(a1454)
& c2_1(a1454) )
| ( ndr1_0
& c1_1(a1455)
& ndr1_1(a1455)
& ~ c3_2(a1455,a1456)
& c2_2(a1455,a1456)
& ~ c4_2(a1455,a1456)
& ndr1_1(a1455)
& c5_2(a1455,a1457)
& c3_2(a1455,a1457)
& ~ c2_2(a1455,a1457) )
| c4_0 )
& ndr1_0
& ! [X113] :
( ndr1_1(a1458)
=> ( c1_2(a1458,X113)
| ~ c4_2(a1458,X113) ) )
& ! [X114] :
( ndr1_1(a1458)
=> ( c3_2(a1458,X114)
| c2_2(a1458,X114) ) )
& c2_1(a1458)
& ( ! [X115] :
( ndr1_0
=> ( c1_1(X115)
| ! [X116] :
( ndr1_1(X115)
=> ( ~ c2_2(X115,X116)
| c4_2(X115,X116)
| ~ c3_2(X115,X116) ) )
| ( ndr1_1(X115)
& c4_2(X115,a1459)
& ~ c3_2(X115,a1459)
& ~ c1_2(X115,a1459) ) ) )
| c4_0 )
& ( ~ c4_0
| ( ndr1_0
& c5_1(a1460)
& ndr1_1(a1460)
& ~ c2_2(a1460,a1461)
& c3_2(a1460,a1461)
& ~ c4_2(a1460,a1461) )
| ! [X117] :
( ndr1_0
=> ( c4_1(X117)
| ( ndr1_1(X117)
& c4_2(X117,a1462)
& ~ c3_2(X117,a1462) )
| ( ndr1_1(X117)
& ~ c2_2(X117,a1463)
& c4_2(X117,a1463)
& ~ c3_2(X117,a1463) ) ) ) )
& ndr1_0
& ndr1_1(a1464)
& ~ c5_2(a1464,a1465)
& c3_2(a1464,a1465)
& c2_2(a1464,a1465)
& c2_1(a1464)
& ndr1_1(a1464)
& c2_2(a1464,a1466)
& ~ c5_2(a1464,a1466)
& ( ~ c3_0
| ~ c1_0
| ( ndr1_0
& ndr1_1(a1467)
& ~ c5_2(a1467,a1468)
& c3_2(a1467,a1468)
& c1_2(a1467,a1468)
& ndr1_1(a1467)
& ~ c4_2(a1467,a1469)
& c3_2(a1467,a1469)
& c1_2(a1467,a1469)
& c3_1(a1467) ) )
& ( ! [X118] :
( ndr1_0
=> ( ~ c5_1(X118)
| c1_1(X118)
| ! [X119] :
( ndr1_1(X118)
=> ( c4_2(X118,X119)
| ~ c2_2(X118,X119)
| c3_2(X118,X119) ) ) ) )
| ( ndr1_0
& ndr1_1(a1470)
& c4_2(a1470,a1471)
& ~ c5_2(a1470,a1471)
& c2_2(a1470,a1471)
& ndr1_1(a1470)
& c5_2(a1470,a1472)
& c1_2(a1470,a1472)
& c3_2(a1470,a1472) )
| ~ c3_0 )
& ( ~ c2_0
| ! [X120] :
( ndr1_0
=> ( ( ndr1_1(X120)
& c3_2(X120,a1473)
& ~ c5_2(X120,a1473)
& c2_2(X120,a1473) )
| ~ c4_1(X120)
| ! [X121] :
( ndr1_1(X120)
=> ( ~ c1_2(X120,X121)
| ~ c2_2(X120,X121) ) ) ) )
| ! [X122] :
( ndr1_0
=> ( ! [X123] :
( ndr1_1(X122)
=> ( ~ c3_2(X122,X123)
| c5_2(X122,X123) ) )
| ( ndr1_1(X122)
& c2_2(X122,a1474)
& c5_2(X122,a1474)
& c4_2(X122,a1474) )
| c5_1(X122) ) ) )
& ( c4_0
| c1_0
| ~ c2_0 )
& ( ( ndr1_0
& ! [X124] :
( ndr1_1(a1475)
=> ( c5_2(a1475,X124)
| c2_2(a1475,X124) ) )
& c4_1(a1475)
& ~ c5_1(a1475) )
| c4_0 )
& c3_0
& ( ! [X125] :
( ndr1_0
=> ( ~ c3_1(X125)
| ! [X126] :
( ndr1_1(X125)
=> ( c5_2(X125,X126)
| c3_2(X125,X126) ) )
| ( ndr1_1(X125)
& ~ c4_2(X125,a1476)
& ~ c2_2(X125,a1476)
& ~ c1_2(X125,a1476) ) ) )
| ~ c4_0 )
& ( ! [X127] :
( ndr1_0
=> ( ( ndr1_1(X127)
& c2_2(X127,a1477)
& ~ c3_2(X127,a1477)
& ~ c4_2(X127,a1477) )
| ~ c1_1(X127)
| c5_1(X127) ) )
| ( ndr1_0
& ! [X128] :
( ndr1_1(a1478)
=> ( c4_2(a1478,X128)
| c2_2(a1478,X128)
| ~ c1_2(a1478,X128) ) )
& ! [X129] :
( ndr1_1(a1478)
=> ( ~ c1_2(a1478,X129)
| c3_2(a1478,X129)
| c5_2(a1478,X129) ) )
& ndr1_1(a1478)
& c5_2(a1478,a1479)
& ~ c4_2(a1478,a1479)
& c1_2(a1478,a1479) )
| ~ c2_0 )
& ( c1_0
| ! [X130] :
( ndr1_0
=> ( ( ndr1_1(X130)
& ~ c3_2(X130,a1480)
& c4_2(X130,a1480)
& ~ c5_2(X130,a1480) )
| ( ndr1_1(X130)
& c1_2(X130,a1481)
& ~ c2_2(X130,a1481) ) ) )
| ( ndr1_0
& ~ c5_1(a1482)
& ! [X131] :
( ndr1_1(a1482)
=> ( c3_2(a1482,X131)
| ~ c1_2(a1482,X131)
| ~ c5_2(a1482,X131) ) ) ) )
& ( ( ndr1_0
& ! [X132] :
( ndr1_1(a1483)
=> ( c3_2(a1483,X132)
| ~ c2_2(a1483,X132)
| c4_2(a1483,X132) ) )
& ~ c3_1(a1483)
& c1_1(a1483) )
| ( ndr1_0
& ndr1_1(a1484)
& c1_2(a1484,a1485)
& ~ c3_2(a1484,a1485)
& c4_2(a1484,a1485)
& ~ c1_1(a1484)
& ndr1_1(a1484)
& c5_2(a1484,a1486)
& c2_2(a1484,a1486)
& ~ c1_2(a1484,a1486) )
| ( ndr1_0
& c3_1(a1487)
& c1_1(a1487)
& ndr1_1(a1487)
& c2_2(a1487,a1488)
& c4_2(a1487,a1488)
& c5_2(a1487,a1488) ) )
& ( ~ c1_0
| ~ c2_0 )
& ! [X133] :
( ndr1_0
=> ( ( ndr1_1(X133)
& ~ c1_2(X133,a1489)
& c3_2(X133,a1489) )
| ! [X134] :
( ndr1_1(X133)
=> ( ~ c5_2(X133,X134)
| c4_2(X133,X134) ) )
| c4_1(X133) ) )
& ( ( ndr1_0
& ! [X135] :
( ndr1_1(a1490)
=> ( ~ c2_2(a1490,X135)
| ~ c5_2(a1490,X135) ) )
& ! [X136] :
( ndr1_1(a1490)
=> ( c1_2(a1490,X136)
| ~ c5_2(a1490,X136)
| c2_2(a1490,X136) ) ) )
| ! [X137] :
( ndr1_0
=> ( ( ndr1_1(X137)
& ~ c5_2(X137,a1491)
& ~ c1_2(X137,a1491) )
| ~ c2_1(X137) ) )
| ! [X138] :
( ndr1_0
=> ( ~ c3_1(X138)
| ! [X139] :
( ndr1_1(X138)
=> ( c4_2(X138,X139)
| c5_2(X138,X139)
| c3_2(X138,X139) ) ) ) ) )
& ( ! [X140] :
( ndr1_0
=> ( ( ndr1_1(X140)
& c5_2(X140,a1492)
& c3_2(X140,a1492)
& ~ c4_2(X140,a1492) )
| ! [X141] :
( ndr1_1(X140)
=> ( c5_2(X140,X141)
| c1_2(X140,X141)
| c2_2(X140,X141) ) )
| c1_1(X140) ) )
| c1_0
| ( ndr1_0
& ! [X142] :
( ndr1_1(a1493)
=> ( c2_2(a1493,X142)
| c1_2(a1493,X142) ) )
& ~ c2_1(a1493) ) )
& ndr1_0
& ! [X143] :
( ndr1_1(a1494)
=> ( c1_2(a1494,X143)
| ~ c2_2(a1494,X143)
| c3_2(a1494,X143) ) )
& ! [X144] :
( ndr1_1(a1494)
=> ( ~ c5_2(a1494,X144)
| c3_2(a1494,X144)
| c1_2(a1494,X144) ) )
& c5_1(a1494)
& ( ( ndr1_0
& ! [X145] :
( ndr1_1(a1495)
=> ( c1_2(a1495,X145)
| ~ c5_2(a1495,X145) ) )
& ndr1_1(a1495)
& c1_2(a1495,a1496)
& ~ c5_2(a1495,a1496)
& c2_2(a1495,a1496)
& c2_1(a1495) )
| ! [X146] :
( ndr1_0
=> ( c4_1(X146)
| ( ndr1_1(X146)
& c4_2(X146,a1497)
& c5_2(X146,a1497)
& c2_2(X146,a1497) ) ) )
| ! [X147] :
( ndr1_0
=> ( ~ c3_1(X147)
| ! [X148] :
( ndr1_1(X147)
=> ( ~ c2_2(X147,X148)
| ~ c5_2(X147,X148)
| c3_2(X147,X148) ) )
| c5_1(X147) ) ) )
& ( c2_0
| ( ndr1_0
& ! [X149] :
( ndr1_1(a1498)
=> ( ~ c4_2(a1498,X149)
| c5_2(a1498,X149) ) )
& ~ c5_1(a1498)
& ! [X150] :
( ndr1_1(a1498)
=> ( c5_2(a1498,X150)
| c4_2(a1498,X150)
| c1_2(a1498,X150) ) ) )
| c4_0 )
& ( ( ndr1_0
& ~ c3_1(a1499)
& ~ c5_1(a1499)
& ! [X151] :
( ndr1_1(a1499)
=> ( ~ c1_2(a1499,X151)
| c5_2(a1499,X151) ) ) )
| ( ndr1_0
& ndr1_1(a1500)
& ~ c4_2(a1500,a1501)
& ~ c3_2(a1500,a1501)
& c2_2(a1500,a1501)
& ndr1_1(a1500)
& ~ c4_2(a1500,a1502)
& c3_2(a1500,a1502)
& c2_2(a1500,a1502) )
| ( ndr1_0
& ~ c5_1(a1503)
& ! [X152] :
( ndr1_1(a1503)
=> ( c5_2(a1503,X152)
| ~ c2_2(a1503,X152)
| ~ c1_2(a1503,X152) ) )
& ~ c3_1(a1503) ) )
& ( ! [X153] :
( ndr1_0
=> ( ! [X154] :
( ndr1_1(X153)
=> ( c1_2(X153,X154)
| ~ c4_2(X153,X154)
| c3_2(X153,X154) ) )
| c2_1(X153)
| ~ c3_1(X153) ) )
| c1_0
| ( ndr1_0
& ~ c1_1(a1504)
& ~ c4_1(a1504)
& ! [X155] :
( ndr1_1(a1504)
=> ( ~ c3_2(a1504,X155)
| c5_2(a1504,X155)
| ~ c4_2(a1504,X155) ) ) ) )
& ( c2_0
| ! [X156] :
( ndr1_0
=> ( ( ndr1_1(X156)
& c2_2(X156,a1505)
& ~ c4_2(X156,a1505)
& c3_2(X156,a1505) )
| ! [X157] :
( ndr1_1(X156)
=> ( ~ c5_2(X156,X157)
| ~ c1_2(X156,X157)
| ~ c2_2(X156,X157) ) ) ) ) )
& ( c1_0
| ~ c2_0
| ~ c4_0 )
& ( ~ c1_0
| ( ndr1_0
& ! [X158] :
( ndr1_1(a1506)
=> ( ~ c1_2(a1506,X158)
| c3_2(a1506,X158)
| ~ c4_2(a1506,X158) ) )
& ~ c1_1(a1506)
& ndr1_1(a1506)
& c4_2(a1506,a1507)
& ~ c2_2(a1506,a1507) ) )
& ( c4_0
| ~ c2_0 )
& ( ( ndr1_0
& ~ c3_1(a1508) )
| ! [X159] :
( ndr1_0
=> ( c1_1(X159)
| c5_1(X159) ) )
| ~ c1_0 )
& ( ( ndr1_0
& ! [X160] :
( ndr1_1(a1509)
=> ( c2_2(a1509,X160)
| ~ c3_2(a1509,X160) ) )
& c1_1(a1509)
& ! [X161] :
( ndr1_1(a1509)
=> ( c1_2(a1509,X161)
| c3_2(a1509,X161)
| c2_2(a1509,X161) ) ) )
| ~ c1_0 )
& ( ( ndr1_0
& c5_1(a1510)
& ndr1_1(a1510)
& ~ c2_2(a1510,a1511)
& ~ c1_2(a1510,a1511)
& ~ c5_2(a1510,a1511) )
| ! [X162] :
( ndr1_0
=> ( ~ c3_1(X162)
| c5_1(X162)
| ~ c1_1(X162) ) ) )
& ( ~ c1_0
| ! [X163] :
( ndr1_0
=> ( ( ndr1_1(X163)
& ~ c2_2(X163,a1512)
& ~ c1_2(X163,a1512)
& ~ c5_2(X163,a1512) )
| ( ndr1_1(X163)
& c4_2(X163,a1513)
& ~ c1_2(X163,a1513)
& c2_2(X163,a1513) )
| ( ndr1_1(X163)
& c3_2(X163,a1514)
& c2_2(X163,a1514) ) ) )
| c4_0 )
& ( ( ndr1_0
& c3_1(a1515)
& c1_1(a1515) )
| ( ndr1_0
& c5_1(a1516)
& ~ c2_1(a1516) )
| c2_0 )
& ( c1_0
| ~ c4_0
| ! [X164] :
( ndr1_0
=> ( ! [X165] :
( ndr1_1(X164)
=> ( c1_2(X164,X165)
| ~ c4_2(X164,X165) ) )
| ( ndr1_1(X164)
& ~ c3_2(X164,a1517)
& ~ c4_2(X164,a1517)
& c1_2(X164,a1517) )
| ( ndr1_1(X164)
& ~ c4_2(X164,a1518)
& c1_2(X164,a1518)
& c5_2(X164,a1518) ) ) ) )
& ( c2_0
| ~ c1_0 )
& ( ! [X166] :
( ndr1_0
=> ( ! [X167] :
( ndr1_1(X166)
=> ( ~ c1_2(X166,X167)
| c3_2(X166,X167) ) )
| ( ndr1_1(X166)
& ~ c5_2(X166,a1519)
& c3_2(X166,a1519)
& ~ c4_2(X166,a1519) ) ) )
| ( ndr1_0
& ndr1_1(a1520)
& ~ c5_2(a1520,a1521)
& ~ c3_2(a1520,a1521)
& ndr1_1(a1520)
& c4_2(a1520,a1522)
& ~ c3_2(a1520,a1522)
& c2_1(a1520) )
| ~ c2_0 )
& ( ! [X168] :
( ndr1_0
=> ( ~ c1_1(X168)
| ! [X169] :
( ndr1_1(X168)
=> ( c4_2(X168,X169)
| c1_2(X168,X169)
| c2_2(X168,X169) ) )
| ( ndr1_1(X168)
& ~ c2_2(X168,a1523)
& ~ c5_2(X168,a1523)
& ~ c4_2(X168,a1523) ) ) )
| c1_0
| ( ndr1_0
& ! [X170] :
( ndr1_1(a1524)
=> ( ~ c4_2(a1524,X170)
| c1_2(a1524,X170) ) )
& ndr1_1(a1524)
& c5_2(a1524,a1525) ) )
& ( c2_0
| ! [X171] :
( ndr1_0
=> ( ( ndr1_1(X171)
& c1_2(X171,a1526)
& c4_2(X171,a1526)
& ~ c2_2(X171,a1526) )
| c4_1(X171)
| ~ c1_1(X171) ) )
| ! [X172] :
( ndr1_0
=> ( ~ c1_1(X172)
| c2_1(X172)
| ~ c4_1(X172) ) ) )
& ( ! [X173] :
( ndr1_0
=> ( ~ c1_1(X173)
| ~ c3_1(X173)
| ~ c2_1(X173) ) )
| ! [X174] :
( ndr1_0
=> ( ~ c5_1(X174)
| ! [X175] :
( ndr1_1(X174)
=> ( ~ c1_2(X174,X175)
| ~ c5_2(X174,X175)
| ~ c3_2(X174,X175) ) )
| ~ c2_1(X174) ) ) ) ) ).
%--------------------------------------------------------------------------