TPTP Problem File: SYN518+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN518+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=5, R=1, L=150, K=3, D=2, P=0, Index=008
% 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-5-1-150-3-2-008.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v5.5.0, 0.10 v5.4.0, 0.20 v5.3.0, 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, 0.17 v3.2.0, 0.50 v3.1.0, 0.83 v2.6.0, 0.50 v2.5.0, 0.33 v2.3.0, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 1196 ( 0 equ)
% Maximal formula atoms : 1196 (1196 avg)
% Number of connectives : 1619 ( 424 ~; 487 |; 539 &)
% ( 0 <=>; 169 =>; 0 <=; 0 <~>)
% Maximal formula depth : 123 ( 123 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 17 usr; 6 prp; 0-2 aty)
% Number of functors : 159 ( 159 usr; 159 con; 0-0 aty)
% Number of variables : 169 ( 169 !; 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)
& ~ c2_2(U,a999)
& c3_2(U,a999)
& c1_2(U,a999) )
| ~ c1_1(U)
| ! [V] :
( ndr1_1(U)
=> ( c3_2(U,V)
| c2_2(U,V)
| c5_2(U,V) ) ) ) )
| c3_0
| ! [W] :
( ndr1_0
=> ( ! [X] :
( ndr1_1(W)
=> ( c1_2(W,X)
| ~ c4_2(W,X) ) )
| ! [Y] :
( ndr1_1(W)
=> ( c1_2(W,Y)
| c2_2(W,Y)
| c5_2(W,Y) ) )
| c3_1(W) ) ) )
& ( c2_0
| ~ c4_0
| c3_0 )
& ( c5_0
| ( ndr1_0
& ~ c2_1(a1000)
& ! [Z] :
( ndr1_1(a1000)
=> ( c5_2(a1000,Z)
| ~ c1_2(a1000,Z)
| c2_2(a1000,Z) ) )
& ndr1_1(a1000)
& c3_2(a1000,a1001)
& ~ c4_2(a1000,a1001)
& ~ c5_2(a1000,a1001) ) )
& ( ~ c3_0
| ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| c5_1(X1)
| ! [X2] :
( ndr1_1(X1)
=> ( ~ c2_2(X1,X2)
| c5_2(X1,X2)
| c3_2(X1,X2) ) ) ) )
| ! [X3] :
( ndr1_0
=> ( ! [X4] :
( ndr1_1(X3)
=> ( ~ c3_2(X3,X4)
| ~ c5_2(X3,X4)
| c4_2(X3,X4) ) )
| ( ndr1_1(X3)
& c4_2(X3,a1002)
& c2_2(X3,a1002)
& ~ c1_2(X3,a1002) ) ) ) )
& ( c2_0
| ~ c3_0
| c5_0 )
& ( ! [X5] :
( ndr1_0
=> ( ~ c2_1(X5)
| ( ndr1_1(X5)
& c3_2(X5,a1003)
& ~ c1_2(X5,a1003)
& c5_2(X5,a1003) )
| ( ndr1_1(X5)
& c4_2(X5,a1004)
& c3_2(X5,a1004)
& ~ c5_2(X5,a1004) ) ) )
| ( ndr1_0
& ! [X6] :
( ndr1_1(a1005)
=> ( c5_2(a1005,X6)
| ~ c4_2(a1005,X6) ) )
& ~ c3_1(a1005)
& c4_1(a1005) )
| ! [X7] :
( ndr1_0
=> ( c5_1(X7)
| ~ c1_1(X7)
| ( ndr1_1(X7)
& ~ c3_2(X7,a1006)
& ~ c4_2(X7,a1006) ) ) ) )
& ( ~ c1_0
| ~ c5_0
| ( ndr1_0
& ! [X8] :
( ndr1_1(a1007)
=> ( c1_2(a1007,X8)
| ~ c4_2(a1007,X8) ) )
& ~ c5_1(a1007)
& ndr1_1(a1007)
& c1_2(a1007,a1008)
& c2_2(a1007,a1008) ) )
& ( c2_0
| ( ndr1_0
& ! [X9] :
( ndr1_1(a1009)
=> ( ~ c5_2(a1009,X9)
| c2_2(a1009,X9) ) )
& c2_1(a1009) )
| ( ndr1_0
& ndr1_1(a1010)
& ~ c5_2(a1010,a1011)
& c2_2(a1010,a1011)
& ~ c3_2(a1010,a1011)
& ndr1_1(a1010)
& ~ c5_2(a1010,a1012)
& c2_2(a1010,a1012)
& ~ c1_2(a1010,a1012)
& ! [X10] :
( ndr1_1(a1010)
=> ( c3_2(a1010,X10)
| ~ c2_2(a1010,X10)
| ~ c1_2(a1010,X10) ) ) ) )
& ( ~ c2_0
| c1_0
| ( ndr1_0
& c3_1(a1013)
& ! [X11] :
( ndr1_1(a1013)
=> ( c1_2(a1013,X11)
| ~ c5_2(a1013,X11)
| c4_2(a1013,X11) ) )
& ~ c2_1(a1013) ) )
& ( ~ c5_0
| ( ndr1_0
& ndr1_1(a1014)
& ~ c3_2(a1014,a1015)
& ~ c2_2(a1014,a1015)
& c1_2(a1014,a1015)
& ~ c2_1(a1014) ) )
& ( ! [X12] :
( ndr1_0
=> ( ~ c3_1(X12)
| ! [X13] :
( ndr1_1(X12)
=> ( ~ c2_2(X12,X13)
| ~ c3_2(X12,X13) ) ) ) )
| c2_0
| c1_0 )
& ( ~ c1_0
| ~ c2_0
| ~ c3_0 )
& ( c5_0
| ~ c2_0
| c4_0 )
& ( ~ c3_0
| ~ c4_0
| ( ndr1_0
& c1_1(a1016)
& ~ c4_1(a1016)
& ndr1_1(a1016)
& c2_2(a1016,a1017)
& c5_2(a1016,a1017)
& ~ c1_2(a1016,a1017) ) )
& ( ~ c2_0
| ( ndr1_0
& ~ c5_1(a1018)
& ndr1_1(a1018)
& c5_2(a1018,a1019)
& ~ c3_2(a1018,a1019)
& ~ c4_2(a1018,a1019)
& ! [X14] :
( ndr1_1(a1018)
=> ( c1_2(a1018,X14)
| c5_2(a1018,X14)
| ~ c4_2(a1018,X14) ) ) )
| ~ c5_0 )
& ( ! [X15] :
( ndr1_0
=> ( ( ndr1_1(X15)
& c4_2(X15,a1020)
& ~ c5_2(X15,a1020)
& c1_2(X15,a1020) )
| c4_1(X15) ) )
| ~ c5_0 )
& ( ~ c4_0
| ( ndr1_0
& ! [X16] :
( ndr1_1(a1021)
=> ( c3_2(a1021,X16)
| c2_2(a1021,X16) ) )
& ! [X17] :
( ndr1_1(a1021)
=> ( ~ c5_2(a1021,X17)
| c4_2(a1021,X17)
| ~ c1_2(a1021,X17) ) )
& ~ c3_1(a1021) )
| ~ c1_0 )
& ( ~ c2_0
| ! [X18] :
( ndr1_0
=> ( ( ndr1_1(X18)
& c3_2(X18,a1022)
& ~ c5_2(X18,a1022) )
| ~ c3_1(X18)
| ! [X19] :
( ndr1_1(X18)
=> ( c5_2(X18,X19)
| c4_2(X18,X19) ) ) ) )
| ! [X20] :
( ndr1_0
=> ( ~ c2_1(X20)
| ~ c4_1(X20)
| ! [X21] :
( ndr1_1(X20)
=> ( ~ c4_2(X20,X21)
| c2_2(X20,X21) ) ) ) ) )
& ( c4_0
| ( ndr1_0
& ndr1_1(a1023)
& ~ c2_2(a1023,a1024)
& c1_2(a1023,a1024)
& c3_2(a1023,a1024)
& c1_1(a1023)
& ~ c2_1(a1023) )
| ( ndr1_0
& ! [X22] :
( ndr1_1(a1025)
=> ( ~ c4_2(a1025,X22)
| c5_2(a1025,X22)
| ~ c1_2(a1025,X22) ) )
& ! [X23] :
( ndr1_1(a1025)
=> ( ~ c3_2(a1025,X23)
| c5_2(a1025,X23)
| ~ c1_2(a1025,X23) ) ) ) )
& ( ( ndr1_0
& ! [X24] :
( ndr1_1(a1026)
=> ( ~ c5_2(a1026,X24)
| c2_2(a1026,X24)
| ~ c4_2(a1026,X24) ) )
& ~ c3_1(a1026) )
| ~ c3_0
| ( ndr1_0
& c4_1(a1027)
& c5_1(a1027)
& ! [X25] :
( ndr1_1(a1027)
=> ( c1_2(a1027,X25)
| ~ c4_2(a1027,X25) ) ) ) )
& ( ~ c5_0
| c4_0 )
& ( ( ndr1_0
& ! [X26] :
( ndr1_1(a1028)
=> ( c5_2(a1028,X26)
| ~ c3_2(a1028,X26)
| ~ c2_2(a1028,X26) ) )
& c3_1(a1028) )
| c1_0
| ! [X27] :
( ndr1_0
=> ( ! [X28] :
( ndr1_1(X27)
=> ( c2_2(X27,X28)
| ~ c3_2(X27,X28)
| c1_2(X27,X28) ) )
| ( ndr1_1(X27)
& ~ c4_2(X27,a1029)
& c2_2(X27,a1029)
& c3_2(X27,a1029) )
| ( ndr1_1(X27)
& ~ c5_2(X27,a1030)
& ~ c4_2(X27,a1030) ) ) ) )
& ( ( ndr1_0
& c2_1(a1031)
& ndr1_1(a1031)
& ~ c2_2(a1031,a1032)
& c5_2(a1031,a1032)
& c4_1(a1031) )
| ( ndr1_0
& ! [X29] :
( ndr1_1(a1033)
=> ( c5_2(a1033,X29)
| ~ c3_2(a1033,X29)
| c4_2(a1033,X29) ) )
& ~ c5_1(a1033)
& c3_1(a1033) )
| ~ c1_0 )
& ( ! [X30] :
( ndr1_0
=> ( c5_1(X30)
| c3_1(X30)
| c2_1(X30) ) )
| ~ c5_0
| ~ c1_0 )
& ( ! [X31] :
( ndr1_0
=> ( ( ndr1_1(X31)
& ~ c5_2(X31,a1034)
& c1_2(X31,a1034)
& ~ c4_2(X31,a1034) )
| ! [X32] :
( ndr1_1(X31)
=> ( ~ c4_2(X31,X32)
| ~ c3_2(X31,X32)
| c2_2(X31,X32) ) ) ) )
| c2_0 )
& ( ! [X33] :
( ndr1_0
=> ( ( ndr1_1(X33)
& ~ c2_2(X33,a1035)
& c4_2(X33,a1035)
& c5_2(X33,a1035) )
| c3_1(X33)
| ~ c2_1(X33) ) )
| ~ c2_0 )
& ( ( ndr1_0
& ! [X34] :
( ndr1_1(a1036)
=> ( c1_2(a1036,X34)
| ~ c3_2(a1036,X34)
| c4_2(a1036,X34) ) )
& ~ c4_1(a1036) )
| c1_0
| ! [X35] :
( ndr1_0
=> ( c4_1(X35)
| c2_1(X35) ) ) )
& ( c5_0
| ! [X36] :
( ndr1_0
=> ( c5_1(X36)
| ! [X37] :
( ndr1_1(X36)
=> ( ~ c3_2(X36,X37)
| ~ c2_2(X36,X37)
| c1_2(X36,X37) ) ) ) )
| c4_0 )
& ( ! [X38] :
( ndr1_0
=> ( ~ c2_1(X38)
| ( ndr1_1(X38)
& ~ c1_2(X38,a1037)
& c3_2(X38,a1037)
& c5_2(X38,a1037) )
| c4_1(X38) ) )
| ~ c1_0
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| ( ndr1_1(X39)
& ~ c4_2(X39,a1038)
& ~ c2_2(X39,a1038)
& ~ c3_2(X39,a1038) )
| ! [X40] :
( ndr1_1(X39)
=> ( ~ c3_2(X39,X40)
| c2_2(X39,X40)
| ~ c5_2(X39,X40) ) ) ) ) )
& ( c4_0
| ( ndr1_0
& ndr1_1(a1039)
& ~ c5_2(a1039,a1040)
& c2_2(a1039,a1040)
& ~ c3_2(a1039,a1040)
& ! [X41] :
( ndr1_1(a1039)
=> ( c3_2(a1039,X41)
| c2_2(a1039,X41)
| c4_2(a1039,X41) ) )
& ndr1_1(a1039)
& c4_2(a1039,a1041)
& c2_2(a1039,a1041)
& c3_2(a1039,a1041) )
| ! [X42] :
( ndr1_0
=> ( ! [X43] :
( ndr1_1(X42)
=> ( ~ c1_2(X42,X43)
| ~ c2_2(X42,X43) ) )
| c5_1(X42)
| ~ c1_1(X42) ) ) )
& ( c4_0
| ( ndr1_0
& ndr1_1(a1042)
& ~ c3_2(a1042,a1043)
& c5_2(a1042,a1043)
& ~ c2_2(a1042,a1043)
& ndr1_1(a1042)
& ~ c2_2(a1042,a1044)
& ~ c5_2(a1042,a1044)
& ndr1_1(a1042)
& c1_2(a1042,a1045)
& ~ c3_2(a1042,a1045) )
| ( ndr1_0
& c2_1(a1046)
& ~ c5_1(a1046)
& ~ c4_1(a1046) ) )
& ( ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| ! [X45] :
( ndr1_1(X44)
=> ( c2_2(X44,X45)
| c1_2(X44,X45)
| ~ c4_2(X44,X45) ) )
| ~ c1_1(X44) ) )
| ~ c4_0
| ( ndr1_0
& ndr1_1(a1047)
& c5_2(a1047,a1048)
& ~ c3_2(a1047,a1048)
& c4_2(a1047,a1048)
& ! [X46] :
( ndr1_1(a1047)
=> ( c2_2(a1047,X46)
| c5_2(a1047,X46)
| ~ c4_2(a1047,X46) ) )
& ! [X47] :
( ndr1_1(a1047)
=> ( c2_2(a1047,X47)
| ~ c4_2(a1047,X47)
| c3_2(a1047,X47) ) ) ) )
& ( ~ c1_0
| ( ndr1_0
& c5_1(a1049)
& ! [X48] :
( ndr1_1(a1049)
=> ( ~ c2_2(a1049,X48)
| c1_2(a1049,X48)
| ~ c3_2(a1049,X48) ) )
& ~ c3_1(a1049) ) )
& ( ~ c1_0
| ( ndr1_0
& ! [X49] :
( ndr1_1(a1050)
=> ( c4_2(a1050,X49)
| ~ c2_2(a1050,X49)
| c3_2(a1050,X49) ) )
& ~ c2_1(a1050) )
| c3_0 )
& ( ~ c2_0
| c4_0 )
& ( ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| ~ c3_1(X50) ) )
| c5_0
| ( ndr1_0
& ~ c2_1(a1051)
& ! [X51] :
( ndr1_1(a1051)
=> ( ~ c2_2(a1051,X51)
| c4_2(a1051,X51)
| ~ c5_2(a1051,X51) ) )
& ndr1_1(a1051)
& ~ c4_2(a1051,a1052)
& c5_2(a1051,a1052)
& c1_2(a1051,a1052) ) )
& ( c4_0
| ( ndr1_0
& c1_1(a1053)
& c4_1(a1053)
& ! [X52] :
( ndr1_1(a1053)
=> ( c4_2(a1053,X52)
| c2_2(a1053,X52)
| ~ c1_2(a1053,X52) ) ) )
| ( ndr1_0
& ndr1_1(a1054)
& ~ c4_2(a1054,a1055)
& ~ c2_2(a1054,a1055)
& ndr1_1(a1054)
& c3_2(a1054,a1056)
& c5_2(a1054,a1056)
& c4_2(a1054,a1056)
& c2_1(a1054) ) )
& ( ~ c5_0
| ~ c1_0 )
& ( ~ c2_0
| c1_0
| ! [X53] :
( ndr1_0
=> ( ~ c5_1(X53)
| c2_1(X53)
| ! [X54] :
( ndr1_1(X53)
=> ( c5_2(X53,X54)
| c4_2(X53,X54) ) ) ) ) )
& ( ( ndr1_0
& ~ c2_1(a1057)
& ~ c5_1(a1057)
& ndr1_1(a1057)
& ~ c4_2(a1057,a1058)
& c3_2(a1057,a1058) )
| ( ndr1_0
& ndr1_1(a1059)
& c5_2(a1059,a1060)
& c2_2(a1059,a1060)
& ~ c1_2(a1059,a1060)
& ! [X55] :
( ndr1_1(a1059)
=> ( c3_2(a1059,X55)
| ~ c5_2(a1059,X55)
| c1_2(a1059,X55) ) )
& ndr1_1(a1059)
& c3_2(a1059,a1061)
& c1_2(a1059,a1061) )
| ( ndr1_0
& ! [X56] :
( ndr1_1(a1062)
=> ( ~ c1_2(a1062,X56)
| c5_2(a1062,X56)
| c2_2(a1062,X56) ) )
& ~ c5_1(a1062)
& c4_1(a1062) ) )
& ( c5_0
| c2_0
| ( ndr1_0
& ! [X57] :
( ndr1_1(a1063)
=> ( ~ c5_2(a1063,X57)
| ~ c3_2(a1063,X57) ) )
& ~ c1_1(a1063) ) )
& ( ~ c1_0
| ~ c4_0 )
& ( c2_0
| ! [X58] :
( ndr1_0
=> ( ~ c4_1(X58)
| ! [X59] :
( ndr1_1(X58)
=> ( c2_2(X58,X59)
| ~ c5_2(X58,X59)
| ~ c4_2(X58,X59) ) )
| ~ c5_1(X58) ) )
| ! [X60] :
( ndr1_0
=> ( c2_1(X60)
| c1_1(X60) ) ) )
& ( ~ c2_0
| ! [X61] :
( ndr1_0
=> ( c3_1(X61)
| ! [X62] :
( ndr1_1(X61)
=> ( ~ c5_2(X61,X62)
| ~ c2_2(X61,X62)
| ~ c4_2(X61,X62) ) )
| ! [X63] :
( ndr1_1(X61)
=> ( c4_2(X61,X63)
| c5_2(X61,X63) ) ) ) )
| ( ndr1_0
& ndr1_1(a1064)
& ~ c2_2(a1064,a1065)
& c4_2(a1064,a1065)
& ~ c1_2(a1064,a1065)
& c2_1(a1064)
& ndr1_1(a1064)
& ~ c5_2(a1064,a1066)
& ~ c1_2(a1064,a1066) ) )
& ( ( ndr1_0
& ndr1_1(a1067)
& ~ c1_2(a1067,a1068)
& c2_2(a1067,a1068)
& c3_2(a1067,a1068)
& ~ c3_1(a1067)
& ~ c4_1(a1067) )
| c5_0
| c2_0 )
& ( ( ndr1_0
& ~ c4_1(a1069)
& c1_1(a1069)
& ~ c2_1(a1069) )
| ~ c2_0
| ! [X64] :
( ndr1_0
=> ( ~ c4_1(X64)
| c2_1(X64) ) ) )
& ( ( ndr1_0
& ~ c4_1(a1070)
& ! [X65] :
( ndr1_1(a1070)
=> ( ~ c3_2(a1070,X65)
| c4_2(a1070,X65)
| ~ c2_2(a1070,X65) ) )
& ! [X66] :
( ndr1_1(a1070)
=> ( ~ c4_2(a1070,X66)
| c3_2(a1070,X66)
| ~ c2_2(a1070,X66) ) ) )
| ! [X67] :
( ndr1_0
=> ( ! [X68] :
( ndr1_1(X67)
=> ( c4_2(X67,X68)
| ~ c5_2(X67,X68) ) )
| ~ c5_1(X67)
| c4_1(X67) ) ) )
& ( c3_0
| ~ c1_0
| ~ c4_0 )
& ( ( ndr1_0
& ~ c1_1(a1071)
& ~ c2_1(a1071)
& ! [X69] :
( ndr1_1(a1071)
=> ( c5_2(a1071,X69)
| c4_2(a1071,X69)
| c1_2(a1071,X69) ) ) )
| c1_0 )
& ( ~ c4_0
| ! [X70] :
( ndr1_0
=> ( c5_1(X70)
| c3_1(X70)
| ~ c4_1(X70) ) )
| c1_0 )
& ( ( ndr1_0
& ndr1_1(a1072)
& c2_2(a1072,a1073)
& ~ c3_2(a1072,a1073)
& c4_2(a1072,a1073)
& c1_1(a1072)
& ndr1_1(a1072)
& ~ c3_2(a1072,a1074)
& ~ c4_2(a1072,a1074) )
| c2_0
| ( ndr1_0
& ! [X71] :
( ndr1_1(a1075)
=> ( c5_2(a1075,X71)
| c1_2(a1075,X71)
| c4_2(a1075,X71) ) )
& ndr1_1(a1075)
& ~ c2_2(a1075,a1076)
& ~ c4_2(a1075,a1076)
& ~ c1_2(a1075,a1076) ) )
& ( c4_0
| ( ndr1_0
& ndr1_1(a1077)
& ~ c2_2(a1077,a1078)
& c5_2(a1077,a1078)
& ~ c4_2(a1077,a1078)
& c5_1(a1077)
& c4_1(a1077) )
| ( ndr1_0
& ~ c1_1(a1079)
& ~ c2_1(a1079) ) )
& ( ! [X72] :
( ndr1_0
=> ( c3_1(X72)
| c1_1(X72)
| ~ c2_1(X72) ) )
| ~ c5_0
| ~ c2_0 )
& ( ~ c3_0
| c1_0 )
& ( ( ndr1_0
& c1_1(a1080)
& ndr1_1(a1080)
& ~ c5_2(a1080,a1081)
& ~ c4_2(a1080,a1081)
& c4_1(a1080) )
| c3_0
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| ! [X74] :
( ndr1_1(X73)
=> ( ~ c1_2(X73,X74)
| ~ c4_2(X73,X74)
| ~ c5_2(X73,X74) ) )
| c1_1(X73) ) ) )
& ( ~ c1_0
| ~ c5_0
| c2_0 )
& ( c1_0
| ~ c2_0
| ( ndr1_0
& ! [X75] :
( ndr1_1(a1082)
=> ( ~ c5_2(a1082,X75)
| c4_2(a1082,X75)
| c2_2(a1082,X75) ) )
& ~ c1_1(a1082)
& ! [X76] :
( ndr1_1(a1082)
=> ( c3_2(a1082,X76)
| ~ c2_2(a1082,X76)
| c5_2(a1082,X76) ) ) ) )
& ( ( ndr1_0
& ! [X77] :
( ndr1_1(a1083)
=> ( c1_2(a1083,X77)
| c5_2(a1083,X77) ) )
& ~ c1_1(a1083)
& c2_1(a1083) )
| ( ndr1_0
& ndr1_1(a1084)
& c1_2(a1084,a1085)
& c2_2(a1084,a1085)
& c3_2(a1084,a1085)
& ndr1_1(a1084)
& c3_2(a1084,a1086)
& ~ c2_2(a1084,a1086)
& ~ c4_2(a1084,a1086) )
| c4_0 )
& ( ! [X78] :
( ndr1_0
=> ( ( ndr1_1(X78)
& c1_2(X78,a1087)
& c5_2(X78,a1087)
& c3_2(X78,a1087) )
| ( ndr1_1(X78)
& ~ c5_2(X78,a1088) )
| ~ c2_1(X78) ) )
| ~ c4_0
| ( ndr1_0
& ! [X79] :
( ndr1_1(a1089)
=> ( c2_2(a1089,X79)
| c3_2(a1089,X79)
| c1_2(a1089,X79) ) )
& ~ c1_1(a1089)
& ! [X80] :
( ndr1_1(a1089)
=> ( ~ c2_2(a1089,X80)
| ~ c3_2(a1089,X80)
| c1_2(a1089,X80) ) ) ) )
& ( ! [X81] :
( ndr1_0
=> ( ( ndr1_1(X81)
& c2_2(X81,a1090)
& ~ c1_2(X81,a1090)
& c5_2(X81,a1090) )
| ( ndr1_1(X81)
& ~ c2_2(X81,a1091)
& c5_2(X81,a1091)
& c4_2(X81,a1091) )
| ! [X82] :
( ndr1_1(X81)
=> ( ~ c5_2(X81,X82)
| ~ c4_2(X81,X82) ) ) ) )
| ! [X83] :
( ndr1_0
=> ( ( ndr1_1(X83)
& ~ c1_2(X83,a1092)
& c2_2(X83,a1092)
& c4_2(X83,a1092) )
| ! [X84] :
( ndr1_1(X83)
=> ( ~ c5_2(X83,X84)
| c2_2(X83,X84)
| ~ c1_2(X83,X84) ) )
| ( ndr1_1(X83)
& c1_2(X83,a1093)
& ~ c4_2(X83,a1093)
& c2_2(X83,a1093) ) ) )
| ( ndr1_0
& ! [X85] :
( ndr1_1(a1094)
=> ( c2_2(a1094,X85)
| ~ c4_2(a1094,X85)
| ~ c5_2(a1094,X85) ) )
& ~ c2_1(a1094)
& ndr1_1(a1094)
& ~ c4_2(a1094,a1095)
& c2_2(a1094,a1095) ) )
& ( ! [X86] :
( ndr1_0
=> ( c1_1(X86)
| ( ndr1_1(X86)
& c4_2(X86,a1096)
& ~ c2_2(X86,a1096) )
| ! [X87] :
( ndr1_1(X86)
=> ( ~ c2_2(X86,X87)
| ~ c3_2(X86,X87)
| ~ c1_2(X86,X87) ) ) ) )
| ~ c2_0
| c5_0 )
& ( ~ c1_0
| ( ndr1_0
& ~ c2_1(a1097)
& ~ c5_1(a1097)
& ndr1_1(a1097)
& c1_2(a1097,a1098)
& c5_2(a1097,a1098)
& c3_2(a1097,a1098) ) )
& ( ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| c2_1(X88) ) )
| ~ c2_0
| ~ c5_0 )
& ( ( ndr1_0
& c5_1(a1099)
& ~ c2_1(a1099)
& ~ c3_1(a1099) )
| ~ c3_0
| ~ c2_0 )
& ( ~ c3_0
| ~ c1_0
| ~ c4_0 )
& ( ! [X89] :
( ndr1_0
=> ( c2_1(X89)
| ! [X90] :
( ndr1_1(X89)
=> ( c3_2(X89,X90)
| ~ c5_2(X89,X90) ) )
| ( ndr1_1(X89)
& ~ c3_2(X89,a1100)
& c1_2(X89,a1100) ) ) )
| c4_0
| ~ c3_0 )
& ( c2_0
| ! [X91] :
( ndr1_0
=> ( ! [X92] :
( ndr1_1(X91)
=> ( ~ c3_2(X91,X92)
| c4_2(X91,X92)
| ~ c2_2(X91,X92) ) )
| ( ndr1_1(X91)
& ~ c5_2(X91,a1101)
& ~ c1_2(X91,a1101)
& ~ c3_2(X91,a1101) )
| c3_1(X91) ) )
| c3_0 )
& ( ( ndr1_0
& ! [X93] :
( ndr1_1(a1102)
=> ( c2_2(a1102,X93)
| c3_2(a1102,X93)
| c5_2(a1102,X93) ) )
& ! [X94] :
( ndr1_1(a1102)
=> ( c3_2(a1102,X94)
| c1_2(a1102,X94)
| c2_2(a1102,X94) ) ) )
| c1_0
| ~ c4_0 )
& ( ~ c2_0
| ! [X95] :
( ndr1_0
=> ( c2_1(X95)
| ! [X96] :
( ndr1_1(X95)
=> ( c2_2(X95,X96)
| c1_2(X95,X96)
| c3_2(X95,X96) ) )
| ! [X97] :
( ndr1_1(X95)
=> ( ~ c1_2(X95,X97)
| ~ c3_2(X95,X97)
| ~ c5_2(X95,X97) ) ) ) )
| ! [X98] :
( ndr1_0
=> ( c5_1(X98)
| ~ c4_1(X98)
| ! [X99] :
( ndr1_1(X98)
=> ( c4_2(X98,X99)
| c5_2(X98,X99) ) ) ) ) )
& ( c3_0
| ! [X100] :
( ndr1_0
=> ( ~ c1_1(X100)
| ! [X101] :
( ndr1_1(X100)
=> ( c1_2(X100,X101)
| ~ c2_2(X100,X101)
| ~ c5_2(X100,X101) ) )
| ! [X102] :
( ndr1_1(X100)
=> ( c5_2(X100,X102)
| ~ c3_2(X100,X102)
| c1_2(X100,X102) ) ) ) )
| ~ c2_0 )
& ( c1_0
| c3_0 )
& ( ( ndr1_0
& ! [X103] :
( ndr1_1(a1103)
=> ( c5_2(a1103,X103)
| c1_2(a1103,X103)
| c3_2(a1103,X103) ) )
& ! [X104] :
( ndr1_1(a1103)
=> ( ~ c3_2(a1103,X104)
| ~ c1_2(a1103,X104)
| c5_2(a1103,X104) ) )
& c5_1(a1103) )
| ~ c1_0 )
& ( ! [X105] :
( ndr1_0
=> ( ~ c3_1(X105)
| c1_1(X105)
| ! [X106] :
( ndr1_1(X105)
=> ( c3_2(X105,X106)
| ~ c5_2(X105,X106)
| c1_2(X105,X106) ) ) ) )
| c2_0
| c4_0 )
& ( c5_0
| ( ndr1_0
& ~ c2_1(a1104)
& ndr1_1(a1104)
& c3_2(a1104,a1105)
& ~ c5_2(a1104,a1105) )
| ~ c1_0 )
& ( c5_0
| ~ c4_0 )
& ( ! [X107] :
( ndr1_0
=> ( ! [X108] :
( ndr1_1(X107)
=> ( ~ c1_2(X107,X108)
| ~ c2_2(X107,X108)
| c5_2(X107,X108) ) )
| c3_1(X107)
| ( ndr1_1(X107)
& c5_2(X107,a1106)
& ~ c3_2(X107,a1106)
& c4_2(X107,a1106) ) ) )
| c2_0
| ! [X109] :
( ndr1_0
=> ( ( ndr1_1(X109)
& ~ c4_2(X109,a1107)
& c1_2(X109,a1107)
& ~ c5_2(X109,a1107) )
| ! [X110] :
( ndr1_1(X109)
=> ( ~ c5_2(X109,X110)
| ~ c1_2(X109,X110)
| c2_2(X109,X110) ) )
| ( ndr1_1(X109)
& ~ c5_2(X109,a1108)
& c4_2(X109,a1108) ) ) ) )
& ( ~ c5_0
| c1_0
| ! [X111] :
( ndr1_0
=> ( ( ndr1_1(X111)
& c5_2(X111,a1109)
& ~ c3_2(X111,a1109) )
| c1_1(X111) ) ) )
& ( c2_0
| ( ndr1_0
& ndr1_1(a1110)
& ~ c4_2(a1110,a1111)
& c1_2(a1110,a1111)
& c5_2(a1110,a1111)
& c4_1(a1110)
& c2_1(a1110) )
| ( ndr1_0
& ! [X112] :
( ndr1_1(a1112)
=> ( ~ c5_2(a1112,X112)
| c1_2(a1112,X112)
| ~ c2_2(a1112,X112) ) )
& ! [X113] :
( ndr1_1(a1112)
=> ( ~ c4_2(a1112,X113)
| ~ c3_2(a1112,X113)
| ~ c2_2(a1112,X113) ) )
& c2_1(a1112) ) )
& ( c4_0
| ( ndr1_0
& c1_1(a1113)
& c2_1(a1113)
& ! [X114] :
( ndr1_1(a1113)
=> ( c2_2(a1113,X114)
| ~ c4_2(a1113,X114) ) ) ) )
& ( c1_0
| ( ndr1_0
& ! [X115] :
( ndr1_1(a1114)
=> ( c3_2(a1114,X115)
| ~ c2_2(a1114,X115)
| ~ c4_2(a1114,X115) ) )
& ndr1_1(a1114)
& ~ c5_2(a1114,a1115)
& ~ c4_2(a1114,a1115)
& c3_2(a1114,a1115)
& ! [X116] :
( ndr1_1(a1114)
=> ( c3_2(a1114,X116)
| ~ c5_2(a1114,X116) ) ) )
| ~ c5_0 )
& ( ( ndr1_0
& ~ c4_1(a1116)
& ndr1_1(a1116)
& ~ c5_2(a1116,a1117)
& ~ c3_2(a1116,a1117)
& c4_2(a1116,a1117)
& ! [X117] :
( ndr1_1(a1116)
=> ( c4_2(a1116,X117)
| c2_2(a1116,X117)
| c3_2(a1116,X117) ) ) )
| ~ c2_0
| ( ndr1_0
& ! [X118] :
( ndr1_1(a1118)
=> ( ~ c1_2(a1118,X118)
| c4_2(a1118,X118)
| ~ c3_2(a1118,X118) ) )
& ndr1_1(a1118)
& c4_2(a1118,a1119)
& c5_2(a1118,a1119)
& c2_2(a1118,a1119) ) )
& ( ~ c1_0
| ! [X119] :
( ndr1_0
=> ( ( ndr1_1(X119)
& c5_2(X119,a1120)
& c4_2(X119,a1120)
& ~ c3_2(X119,a1120) )
| c3_1(X119)
| ~ c4_1(X119) ) ) )
& ( ( ndr1_0
& c3_1(a1121)
& ~ c1_1(a1121)
& ~ c4_1(a1121) )
| c4_0 )
& ( ~ c4_0
| c5_0 )
& ( ~ c3_0
| c5_0 )
& ( ( ndr1_0
& ndr1_1(a1122)
& c2_2(a1122,a1123)
& ~ c1_2(a1122,a1123)
& ndr1_1(a1122)
& c5_2(a1122,a1124)
& c2_2(a1122,a1124)
& ~ c3_2(a1122,a1124)
& ! [X120] :
( ndr1_1(a1122)
=> ( ~ c4_2(a1122,X120)
| c1_2(a1122,X120)
| c2_2(a1122,X120) ) ) )
| ! [X121] :
( ndr1_0
=> ( ~ c4_1(X121)
| ! [X122] :
( ndr1_1(X121)
=> ( ~ c2_2(X121,X122)
| ~ c1_2(X121,X122) ) )
| ! [X123] :
( ndr1_1(X121)
=> ( c1_2(X121,X123)
| ~ c2_2(X121,X123) ) ) ) )
| ~ c1_0 )
& ( ~ c3_0
| c2_0
| c5_0 )
& ( c5_0
| ~ c2_0 )
& ( ~ c2_0
| ! [X124] :
( ndr1_0
=> ( c4_1(X124)
| ( ndr1_1(X124)
& c4_2(X124,a1125)
& c1_2(X124,a1125) )
| ~ c3_1(X124) ) )
| ( ndr1_0
& ! [X125] :
( ndr1_1(a1126)
=> ( c3_2(a1126,X125)
| c1_2(a1126,X125)
| c2_2(a1126,X125) ) )
& ! [X126] :
( ndr1_1(a1126)
=> ( c1_2(a1126,X126)
| ~ c4_2(a1126,X126) ) ) ) )
& ( ! [X127] :
( ndr1_0
=> ( ( ndr1_1(X127)
& ~ c4_2(X127,a1127)
& c1_2(X127,a1127)
& ~ c5_2(X127,a1127) )
| ( ndr1_1(X127)
& ~ c4_2(X127,a1128)
& ~ c5_2(X127,a1128)
& c2_2(X127,a1128) )
| c3_1(X127) ) )
| c5_0
| ( ndr1_0
& ~ c2_1(a1129)
& c4_1(a1129)
& ! [X128] :
( ndr1_1(a1129)
=> ( c3_2(a1129,X128)
| c4_2(a1129,X128)
| ~ c5_2(a1129,X128) ) ) ) )
& ( ! [X129] :
( ndr1_0
=> ( ! [X130] :
( ndr1_1(X129)
=> ( ~ c1_2(X129,X130)
| c2_2(X129,X130) ) )
| ! [X131] :
( ndr1_1(X129)
=> ( c1_2(X129,X131)
| c2_2(X129,X131)
| ~ c4_2(X129,X131) ) )
| ( ndr1_1(X129)
& ~ c4_2(X129,a1130)
& c3_2(X129,a1130)
& ~ c1_2(X129,a1130) ) ) )
| c3_0
| ! [X132] :
( ndr1_0
=> ( ~ c4_1(X132)
| ~ c1_1(X132)
| c5_1(X132) ) ) )
& ( ~ c2_0
| c5_0
| c1_0 )
& ( ( ndr1_0
& c1_1(a1131)
& ndr1_1(a1131)
& c3_2(a1131,a1132)
& c2_2(a1131,a1132)
& c1_2(a1131,a1132)
& ~ c4_1(a1131) )
| ~ c2_0
| c5_0 )
& ( c1_0
| ! [X133] :
( ndr1_0
=> ( ~ c5_1(X133)
| c3_1(X133)
| c4_1(X133) ) ) )
& ( ~ c3_0
| ~ c1_0
| ! [X134] :
( ndr1_0
=> ( c1_1(X134)
| ! [X135] :
( ndr1_1(X134)
=> ( c2_2(X134,X135)
| ~ c3_2(X134,X135)
| c4_2(X134,X135) ) ) ) ) )
& ( c1_0
| ! [X136] :
( ndr1_0
=> ( c1_1(X136)
| ! [X137] :
( ndr1_1(X136)
=> ( c1_2(X136,X137)
| c2_2(X136,X137)
| ~ c3_2(X136,X137) ) )
| ( ndr1_1(X136)
& c4_2(X136,a1133)
& ~ c1_2(X136,a1133) ) ) )
| c3_0 )
& ( c5_0
| ! [X138] :
( ndr1_0
=> ! [X139] :
( ndr1_1(X138)
=> ( c1_2(X138,X139)
| ~ c5_2(X138,X139)
| ~ c3_2(X138,X139) ) ) )
| ! [X140] :
( ndr1_0
=> ( ( ndr1_1(X140)
& ~ c5_2(X140,a1134)
& c4_2(X140,a1134) )
| c1_1(X140)
| ! [X141] :
( ndr1_1(X140)
=> ( c5_2(X140,X141)
| c1_2(X140,X141) ) ) ) ) )
& ( ! [X142] :
( ndr1_0
=> ( c2_1(X142)
| ~ c5_1(X142)
| ~ c1_1(X142) ) )
| ! [X143] :
( ndr1_0
=> ( c5_1(X143)
| c4_1(X143) ) )
| ~ c2_0 )
& ( ( ndr1_0
& ndr1_1(a1135)
& c4_2(a1135,a1136)
& c1_2(a1135,a1136)
& c2_2(a1135,a1136)
& ! [X144] :
( ndr1_1(a1135)
=> ( ~ c5_2(a1135,X144)
| ~ c1_2(a1135,X144)
| ~ c3_2(a1135,X144) ) )
& c4_1(a1135) )
| ~ c4_0 )
& ( ! [X145] :
( ndr1_0
=> ( ! [X146] :
( ndr1_1(X145)
=> ( c4_2(X145,X146)
| c1_2(X145,X146)
| ~ c5_2(X145,X146) ) )
| ! [X147] :
( ndr1_1(X145)
=> ( ~ c5_2(X145,X147)
| c4_2(X145,X147) ) )
| ( ndr1_1(X145)
& c1_2(X145,a1137)
& ~ c2_2(X145,a1137) ) ) )
| ! [X148] :
( ndr1_0
=> ( ~ c3_1(X148)
| ( ndr1_1(X148)
& ~ c3_2(X148,a1138)
& c2_2(X148,a1138) )
| ! [X149] :
( ndr1_1(X148)
=> ( ~ c3_2(X148,X149)
| c5_2(X148,X149)
| c4_2(X148,X149) ) ) ) )
| c2_0 )
& ( ~ c5_0
| ~ c3_0
| ! [X150] :
( ndr1_0
=> ( c2_1(X150)
| ! [X151] :
( ndr1_1(X150)
=> ( c4_2(X150,X151)
| ~ c5_2(X150,X151)
| c2_2(X150,X151) ) )
| ( ndr1_1(X150)
& ~ c2_2(X150,a1139)
& ~ c3_2(X150,a1139)
& ~ c1_2(X150,a1139) ) ) ) )
& ( ~ c3_0
| ~ c5_0 )
& ( ~ c2_0
| ! [X152] :
( ndr1_0
=> ( c1_1(X152)
| ( ndr1_1(X152)
& c2_2(X152,a1140)
& ~ c5_2(X152,a1140) ) ) ) )
& ( ( ndr1_0
& ndr1_1(a1141)
& c1_2(a1141,a1142)
& ~ c2_2(a1141,a1142)
& ndr1_1(a1141)
& c4_2(a1141,a1143)
& ~ c3_2(a1141,a1143)
& c1_2(a1141,a1143)
& ~ c5_1(a1141) )
| c4_0 )
& ( ~ c4_0
| ~ c1_0
| ! [X153] :
( ndr1_0
=> ( c3_1(X153)
| ~ c5_1(X153) ) ) )
& ( c4_0
| ~ c2_0 )
& ( ( ndr1_0
& c4_1(a1144)
& ! [X154] :
( ndr1_1(a1144)
=> ( c3_2(a1144,X154)
| c5_2(a1144,X154) ) )
& ! [X155] :
( ndr1_1(a1144)
=> ( ~ c2_2(a1144,X155)
| c4_2(a1144,X155)
| ~ c1_2(a1144,X155) ) ) )
| ( ndr1_0
& ndr1_1(a1145)
& ~ c2_2(a1145,a1146)
& c1_2(a1145,a1146)
& ~ c3_2(a1145,a1146)
& ~ c2_1(a1145)
& ~ c4_1(a1145) )
| ~ c5_0 )
& ( c2_0
| ~ c1_0
| ~ c5_0 )
& ( ( ndr1_0
& ! [X156] :
( ndr1_1(a1147)
=> ( ~ c5_2(a1147,X156)
| ~ c2_2(a1147,X156)
| c3_2(a1147,X156) ) )
& ndr1_1(a1147)
& c5_2(a1147,a1148)
& c4_2(a1147,a1148)
& c2_2(a1147,a1148)
& ! [X157] :
( ndr1_1(a1147)
=> ( c1_2(a1147,X157)
| ~ c2_2(a1147,X157)
| c3_2(a1147,X157) ) ) )
| ( ndr1_0
& ~ c3_1(a1149)
& ndr1_1(a1149)
& c4_2(a1149,a1150)
& c3_2(a1149,a1150)
& c5_1(a1149) )
| ~ c1_0 )
& ( ( ndr1_0
& ! [X158] :
( ndr1_1(a1151)
=> ( c5_2(a1151,X158)
| ~ c1_2(a1151,X158)
| ~ c2_2(a1151,X158) ) )
& c5_1(a1151)
& ndr1_1(a1151)
& ~ c1_2(a1151,a1152) )
| ( ndr1_0
& c2_1(a1153)
& ndr1_1(a1153)
& c4_2(a1153,a1154)
& ~ c2_2(a1153,a1154)
& c5_2(a1153,a1154)
& ~ c4_1(a1153) )
| ~ c1_0 )
& ( ( ndr1_0
& ~ c3_1(a1155)
& c5_1(a1155) )
| ! [X159] :
( ndr1_0
=> ( ~ c1_1(X159)
| ( ndr1_1(X159)
& ~ c1_2(X159,a1156)
& c3_2(X159,a1156)
& ~ c2_2(X159,a1156) )
| ! [X160] :
( ndr1_1(X159)
=> ( ~ c2_2(X159,X160)
| ~ c5_2(X159,X160) ) ) ) )
| c1_0 )
& ( ! [X161] :
( ndr1_0
=> ( ! [X162] :
( ndr1_1(X161)
=> ( c4_2(X161,X162)
| ~ c2_2(X161,X162) ) )
| ~ c1_1(X161)
| ~ c3_1(X161) ) )
| c3_0
| ( ndr1_0
& c5_1(a1157)
& ! [X163] :
( ndr1_1(a1157)
=> ( c2_2(a1157,X163)
| ~ c4_2(a1157,X163)
| c1_2(a1157,X163) ) ) ) ) ) ).
%--------------------------------------------------------------------------