TPTP Problem File: SYN424+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN424+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=10, R=1, L=150, K=3, D=2, P=0, Index=009
% 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-10-1-150-3-2-009.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v6.2.0, 0.14 v6.1.0, 0.00 v5.5.0, 0.10 v5.4.0, 0.20 v5.3.0, 0.00 v4.1.0, 0.50 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 v2.4.0, 0.67 v2.3.0, 0.33 v2.2.1, 1.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 1678 ( 0 equ)
% Maximal formula atoms : 1678 (1678 avg)
% Number of connectives : 2288 ( 611 ~; 669 |; 776 &)
% ( 0 <=>; 232 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 139 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 32 usr; 11 prp; 0-2 aty)
% Number of functors : 230 ( 230 usr; 230 con; 0-0 aty)
% Number of variables : 232 ( 232 !; 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,
~ ( ( ( ndr1_0
& ndr1_1(a960)
& ~ c10_2(a960,a961)
& ~ c1_2(a960,a961)
& ~ c5_2(a960,a961)
& ~ c6_1(a960) )
| ( ndr1_0
& ! [U] :
( ndr1_1(a962)
=> ( ~ c7_2(a962,U)
| ~ c5_2(a962,U)
| c8_2(a962,U) ) )
& ! [V] :
( ndr1_1(a962)
=> ( ~ c7_2(a962,V)
| c1_2(a962,V)
| ~ c3_2(a962,V) ) )
& ! [W] :
( ndr1_1(a962)
=> ( c7_2(a962,W)
| c9_2(a962,W)
| c10_2(a962,W) ) ) )
| ~ c5_0 )
& ( ( ndr1_0
& ~ c6_1(a963)
& ! [X] :
( ndr1_1(a963)
=> ( c9_2(a963,X)
| c10_2(a963,X)
| c3_2(a963,X) ) )
& ndr1_1(a963)
& c1_2(a963,a964)
& c4_2(a963,a964)
& ~ c5_2(a963,a964) )
| ~ c2_0 )
& ( ~ c3_0
| ! [Y] :
( ndr1_0
=> ( ! [Z] :
( ndr1_1(Y)
=> ( ~ c4_2(Y,Z)
| ~ c2_2(Y,Z)
| c6_2(Y,Z) ) )
| ! [X1] :
( ndr1_1(Y)
=> ( c10_2(Y,X1)
| ~ c6_2(Y,X1) ) )
| ( ndr1_1(Y)
& ~ c4_2(Y,a965)
& c10_2(Y,a965)
& ~ c1_2(Y,a965) ) ) )
| ~ c9_0 )
& ( ( ndr1_0
& ~ c9_1(a966)
& ~ c4_1(a966)
& c6_1(a966) )
| c7_0
| ( ndr1_0
& ~ c3_1(a967)
& c4_1(a967)
& ndr1_1(a967)
& c1_2(a967,a968)
& ~ c8_2(a967,a968)
& c6_2(a967,a968) ) )
& ( ~ c6_0
| c3_0
| ! [X2] :
( ndr1_0
=> ( c9_1(X2)
| ~ c3_1(X2)
| ( ndr1_1(X2)
& ~ c5_2(X2,a969)
& c8_2(X2,a969)
& c10_2(X2,a969) ) ) ) )
& ( ( ndr1_0
& ! [X3] :
( ndr1_1(a970)
=> ( c10_2(a970,X3)
| ~ c1_2(a970,X3)
| c5_2(a970,X3) ) )
& c5_1(a970)
& ~ c2_1(a970) )
| ( ndr1_0
& ~ c9_1(a971)
& ! [X4] :
( ndr1_1(a971)
=> ( c8_2(a971,X4)
| c1_2(a971,X4)
| ~ c7_2(a971,X4) ) )
& ~ c4_1(a971) )
| ! [X5] :
( ndr1_0
=> ( c9_1(X5)
| ! [X6] :
( ndr1_1(X5)
=> ( c6_2(X5,X6)
| ~ c5_2(X5,X6)
| ~ c4_2(X5,X6) ) ) ) ) )
& ( ~ c5_0
| ( ndr1_0
& c7_1(a972)
& ! [X7] :
( ndr1_1(a972)
=> ( c7_2(a972,X7)
| c8_2(a972,X7)
| ~ c4_2(a972,X7) ) ) )
| ( ndr1_0
& ~ c1_1(a973)
& ! [X8] :
( ndr1_1(a973)
=> ( ~ c7_2(a973,X8)
| ~ c1_2(a973,X8) ) )
& c9_1(a973) ) )
& ( ~ c8_0
| ! [X9] :
( ndr1_0
=> ( c6_1(X9)
| c1_1(X9)
| ( ndr1_1(X9)
& ~ c9_2(X9,a974)
& ~ c4_2(X9,a974)
& c1_2(X9,a974) ) ) )
| ! [X10] :
( ndr1_0
=> ( ( ndr1_1(X10)
& ~ c9_2(X10,a975)
& c8_2(X10,a975)
& ~ c7_2(X10,a975) )
| ~ c1_1(X10)
| c6_1(X10) ) ) )
& ( ~ c3_0
| ! [X11] :
( ndr1_0
=> ( ( ndr1_1(X11)
& ~ c1_2(X11,a976)
& c8_2(X11,a976)
& ~ c6_2(X11,a976) )
| c2_1(X11)
| c7_1(X11) ) )
| ( ndr1_0
& c9_1(a977)
& ~ c1_1(a977)
& ! [X12] :
( ndr1_1(a977)
=> ( c5_2(a977,X12)
| ~ c1_2(a977,X12)
| ~ c9_2(a977,X12) ) ) ) )
& ( c1_0
| ( ndr1_0
& ~ c3_1(a978)
& c8_1(a978)
& ! [X13] :
( ndr1_1(a978)
=> ( ~ c6_2(a978,X13)
| c4_2(a978,X13) ) ) )
| c6_0 )
& ( c6_0
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| ~ c3_1(X14)
| ( ndr1_1(X14)
& ~ c5_2(X14,a979)
& c7_2(X14,a979)
& ~ c2_2(X14,a979) ) ) )
| ~ c4_0 )
& ( ~ c5_0
| ( ndr1_0
& ndr1_1(a980)
& c6_2(a980,a981)
& ~ c4_2(a980,a981)
& c5_2(a980,a981)
& ~ c7_1(a980)
& ! [X15] :
( ndr1_1(a980)
=> ( c1_2(a980,X15)
| c3_2(a980,X15) ) ) ) )
& ( ! [X16] :
( ndr1_0
=> ( ! [X17] :
( ndr1_1(X16)
=> ( c2_2(X16,X17)
| c5_2(X16,X17) ) )
| ( ndr1_1(X16)
& ~ c6_2(X16,a982)
& ~ c10_2(X16,a982)
& c2_2(X16,a982) )
| ~ c1_1(X16) ) )
| c3_0
| ~ c8_0 )
& ( ! [X18] :
( ndr1_0
=> ( ~ c2_1(X18)
| c1_1(X18)
| ( ndr1_1(X18)
& ~ c2_2(X18,a983)
& ~ c4_2(X18,a983)
& c10_2(X18,a983) ) ) )
| ~ c5_0
| c9_0 )
& ( c4_0
| c8_0
| c5_0 )
& ( ! [X19] :
( ndr1_0
=> ( c3_1(X19)
| ( ndr1_1(X19)
& c10_2(X19,a984)
& c6_2(X19,a984)
& ~ c7_2(X19,a984) )
| c6_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( ~ c6_1(X20)
| ! [X21] :
( ndr1_1(X20)
=> ( c2_2(X20,X21)
| ~ c5_2(X20,X21)
| c6_2(X20,X21) ) ) ) ) )
& ( ~ c10_0
| ! [X22] :
( ndr1_0
=> ( c5_1(X22)
| ! [X23] :
( ndr1_1(X22)
=> ( c10_2(X22,X23)
| c7_2(X22,X23)
| ~ c8_2(X22,X23) ) )
| c9_1(X22) ) )
| ! [X24] :
( ndr1_0
=> ( ! [X25] :
( ndr1_1(X24)
=> ( ~ c4_2(X24,X25)
| c10_2(X24,X25)
| c3_2(X24,X25) ) )
| ( ndr1_1(X24)
& c5_2(X24,a985)
& ~ c3_2(X24,a985)
& c4_2(X24,a985) )
| c10_1(X24) ) ) )
& ( c5_0
| ~ c8_0 )
& ( ~ c10_0
| ( ndr1_0
& ndr1_1(a986)
& ~ c1_2(a986,a987)
& ~ c9_2(a986,a987)
& c3_2(a986,a987)
& ~ c5_1(a986)
& ~ c2_1(a986) )
| ~ c5_0 )
& ( ! [X26] :
( ndr1_0
=> ( ( ndr1_1(X26)
& ~ c5_2(X26,a988)
& c10_2(X26,a988)
& c1_2(X26,a988) )
| ( ndr1_1(X26)
& ~ c6_2(X26,a989)
& ~ c8_2(X26,a989)
& c9_2(X26,a989) )
| ~ c6_1(X26) ) )
| c3_0
| c5_0 )
& ( ! [X27] :
( ndr1_0
=> ( ! [X28] :
( ndr1_1(X27)
=> ( ~ c7_2(X27,X28)
| c3_2(X27,X28)
| ~ c2_2(X27,X28) ) )
| ~ c1_1(X27)
| ( ndr1_1(X27)
& ~ c8_2(X27,a990)
& ~ c7_2(X27,a990)
& ~ c10_2(X27,a990) ) ) )
| ~ c2_0
| ! [X29] :
( ndr1_0
=> ( ! [X30] :
( ndr1_1(X29)
=> ( ~ c1_2(X29,X30)
| ~ c8_2(X29,X30)
| c3_2(X29,X30) ) )
| ! [X31] :
( ndr1_1(X29)
=> ( c3_2(X29,X31)
| c7_2(X29,X31)
| c1_2(X29,X31) ) )
| ~ c8_1(X29) ) ) )
& ( ! [X32] :
( ndr1_0
=> ( ~ c10_1(X32)
| ~ c3_1(X32)
| ! [X33] :
( ndr1_1(X32)
=> ( c6_2(X32,X33)
| c1_2(X32,X33)
| c10_2(X32,X33) ) ) ) )
| ~ c4_0
| c9_0 )
& ( c3_0
| ! [X34] :
( ndr1_0
=> ( ! [X35] :
( ndr1_1(X34)
=> ( ~ c8_2(X34,X35)
| ~ c7_2(X34,X35)
| c2_2(X34,X35) ) )
| ~ c9_1(X34)
| c3_1(X34) ) )
| ~ c1_0 )
& ( c9_0
| ! [X36] :
( ndr1_0
=> ( ! [X37] :
( ndr1_1(X36)
=> ( ~ c7_2(X36,X37)
| ~ c6_2(X36,X37)
| c5_2(X36,X37) ) )
| c5_1(X36)
| c4_1(X36) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c9_1(X38)
| c2_1(X38)
| c6_1(X38) ) ) )
& ( ~ c3_0
| c7_0 )
& ( ! [X39] :
( ndr1_0
=> ( ~ c6_1(X39)
| ! [X40] :
( ndr1_1(X39)
=> ( ~ c7_2(X39,X40)
| ~ c3_2(X39,X40)
| ~ c5_2(X39,X40) ) )
| ~ c7_1(X39) ) )
| ~ c8_0
| ! [X41] :
( ndr1_0
=> ( ! [X42] :
( ndr1_1(X41)
=> ( c10_2(X41,X42)
| c9_2(X41,X42) ) )
| ~ c8_1(X41)
| ! [X43] :
( ndr1_1(X41)
=> ( c2_2(X41,X43)
| ~ c7_2(X41,X43)
| c4_2(X41,X43) ) ) ) ) )
& ( ( ndr1_0
& ~ c3_1(a991)
& ~ c1_1(a991)
& ~ c7_1(a991) )
| ( ndr1_0
& ! [X44] :
( ndr1_1(a992)
=> ( c9_2(a992,X44)
| c6_2(a992,X44)
| c4_2(a992,X44) ) )
& ndr1_1(a992)
& c6_2(a992,a993)
& ~ c7_2(a992,a993)
& ~ c9_2(a992,a993)
& ndr1_1(a992)
& c7_2(a992,a994)
& ~ c8_2(a992,a994) )
| ( ndr1_0
& ! [X45] :
( ndr1_1(a995)
=> ( c1_2(a995,X45)
| ~ c9_2(a995,X45) ) )
& ! [X46] :
( ndr1_1(a995)
=> ( ~ c9_2(a995,X46)
| ~ c7_2(a995,X46)
| ~ c8_2(a995,X46) ) ) ) )
& ( ! [X47] :
( ndr1_0
=> ( ( ndr1_1(X47)
& c6_2(X47,a996)
& c3_2(X47,a996) )
| ! [X48] :
( ndr1_1(X47)
=> ( c6_2(X47,X48)
| ~ c1_2(X47,X48)
| c7_2(X47,X48) ) )
| ! [X49] :
( ndr1_1(X47)
=> ( c4_2(X47,X49)
| c1_2(X47,X49)
| ~ c9_2(X47,X49) ) ) ) )
| ~ c8_0
| ~ c5_0 )
& ( ! [X50] :
( ndr1_0
=> ( c4_1(X50)
| ~ c2_1(X50)
| ~ c7_1(X50) ) )
| ( ndr1_0
& ! [X51] :
( ndr1_1(a997)
=> ( ~ c3_2(a997,X51)
| c4_2(a997,X51)
| c6_2(a997,X51) ) )
& c5_1(a997)
& ndr1_1(a997)
& c3_2(a997,a998)
& ~ c5_2(a997,a998)
& c9_2(a997,a998) )
| ! [X52] :
( ndr1_0
=> ( ( ndr1_1(X52)
& ~ c2_2(X52,a999)
& c3_2(X52,a999) )
| ~ c9_1(X52)
| ! [X53] :
( ndr1_1(X52)
=> ( c6_2(X52,X53)
| ~ c5_2(X52,X53)
| ~ c3_2(X52,X53) ) ) ) ) )
& ( ! [X54] :
( ndr1_0
=> ( ( ndr1_1(X54)
& ~ c6_2(X54,a1000)
& ~ c2_2(X54,a1000) )
| ! [X55] :
( ndr1_1(X54)
=> ( c10_2(X54,X55)
| ~ c6_2(X54,X55)
| ~ c7_2(X54,X55) ) )
| c4_1(X54) ) )
| ~ c10_0
| ! [X56] :
( ndr1_0
=> ( ! [X57] :
( ndr1_1(X56)
=> ( c9_2(X56,X57)
| c10_2(X56,X57)
| ~ c6_2(X56,X57) ) )
| ( ndr1_1(X56)
& c8_2(X56,a1001)
& c4_2(X56,a1001)
& c10_2(X56,a1001) )
| ~ c8_1(X56) ) ) )
& ( c3_0
| ! [X58] :
( ndr1_0
=> ( ( ndr1_1(X58)
& c1_2(X58,a1002)
& ~ c5_2(X58,a1002)
& c7_2(X58,a1002) )
| ~ c2_1(X58)
| ~ c6_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c1_1(X59)
| c3_1(X59) ) ) )
& ( ( ndr1_0
& c2_1(a1003)
& ndr1_1(a1003)
& ~ c6_2(a1003,a1004)
& c1_2(a1003,a1004)
& ~ c1_1(a1003) )
| ( ndr1_0
& ~ c1_1(a1005)
& c6_1(a1005)
& ndr1_1(a1005)
& c2_2(a1005,a1006)
& c5_2(a1005,a1006) )
| ( ndr1_0
& c10_1(a1007) ) )
& ( ~ c3_0
| c4_0
| ~ c8_0 )
& ( ~ c7_0
| ( ndr1_0
& ndr1_1(a1008)
& c3_2(a1008,a1009)
& c8_2(a1008,a1009)
& ndr1_1(a1008)
& ~ c1_2(a1008,a1010)
& ~ c6_2(a1008,a1010)
& ~ c2_2(a1008,a1010)
& ! [X60] :
( ndr1_1(a1008)
=> ( c7_2(a1008,X60)
| ~ c4_2(a1008,X60)
| c10_2(a1008,X60) ) ) )
| ~ c1_0 )
& ( c2_0
| c7_0
| c8_0 )
& ( ! [X61] :
( ndr1_0
=> ( ! [X62] :
( ndr1_1(X61)
=> ( c9_2(X61,X62)
| c1_2(X61,X62)
| c4_2(X61,X62) ) )
| ! [X63] :
( ndr1_1(X61)
=> ( c6_2(X61,X63)
| ~ c8_2(X61,X63)
| c2_2(X61,X63) ) )
| ~ c5_1(X61) ) )
| c1_0
| ~ c5_0 )
& ( ! [X64] :
( ndr1_0
=> ( ~ c5_1(X64)
| ! [X65] :
( ndr1_1(X64)
=> ( ~ c4_2(X64,X65)
| c9_2(X64,X65)
| c6_2(X64,X65) ) )
| ~ c2_1(X64) ) )
| ! [X66] :
( ndr1_0
=> ( ! [X67] :
( ndr1_1(X66)
=> ( c8_2(X66,X67)
| c1_2(X66,X67)
| c4_2(X66,X67) ) )
| ~ c5_1(X66)
| ~ c3_1(X66) ) )
| c10_0 )
& ( ! [X68] :
( ndr1_0
=> ( ( ndr1_1(X68)
& ~ c1_2(X68,a1011)
& c3_2(X68,a1011)
& ~ c7_2(X68,a1011) )
| ( ndr1_1(X68)
& c6_2(X68,a1012)
& c7_2(X68,a1012)
& ~ c2_2(X68,a1012) )
| c4_1(X68) ) )
| ( ndr1_0
& ~ c5_1(a1013)
& c6_1(a1013)
& ndr1_1(a1013)
& c8_2(a1013,a1014)
& ~ c1_2(a1013,a1014) )
| ( ndr1_0
& ndr1_1(a1015)
& c3_2(a1015,a1016)
& ~ c7_2(a1015,a1016)
& ndr1_1(a1015)
& c9_2(a1015,a1017)
& c3_2(a1015,a1017)
& ~ c1_2(a1015,a1017) ) )
& ( ( ndr1_0
& ndr1_1(a1018)
& ~ c7_2(a1018,a1019)
& ~ c3_2(a1018,a1019)
& ~ c10_2(a1018,a1019)
& ~ c10_1(a1018)
& c3_1(a1018) )
| ~ c7_0
| ( ndr1_0
& c3_1(a1020)
& ! [X69] :
( ndr1_1(a1020)
=> ( ~ c2_2(a1020,X69)
| ~ c1_2(a1020,X69) ) )
& c9_1(a1020) ) )
& ( ~ c7_0
| ~ c9_0
| ! [X70] :
( ndr1_0
=> ( c8_1(X70)
| ( ndr1_1(X70)
& ~ c9_2(X70,a1021)
& ~ c1_2(X70,a1021)
& c5_2(X70,a1021) )
| ~ c10_1(X70) ) ) )
& ( ~ c8_0
| ~ c5_0
| c3_0 )
& ( ( ndr1_0
& ~ c9_1(a1022)
& ! [X71] :
( ndr1_1(a1022)
=> ( c10_2(a1022,X71)
| ~ c2_2(a1022,X71)
| c8_2(a1022,X71) ) )
& ndr1_1(a1022)
& ~ c3_2(a1022,a1023)
& ~ c8_2(a1022,a1023)
& ~ c4_2(a1022,a1023) )
| c2_0
| ( ndr1_0
& ~ c8_1(a1024)
& ~ c4_1(a1024)
& ! [X72] :
( ndr1_1(a1024)
=> ( c3_2(a1024,X72)
| ~ c7_2(a1024,X72)
| c4_2(a1024,X72) ) ) ) )
& ( c3_0
| c8_0
| c1_0 )
& ( ! [X73] :
( ndr1_0
=> ( c2_1(X73)
| ~ c5_1(X73)
| ( ndr1_1(X73)
& c4_2(X73,a1025)
& c9_2(X73,a1025)
& ~ c5_2(X73,a1025) ) ) )
| ~ c10_0 )
& ( c10_0
| ( ndr1_0
& ndr1_1(a1026)
& ~ c5_2(a1026,a1027)
& ~ c4_2(a1026,a1027)
& ~ c3_2(a1026,a1027)
& ! [X74] :
( ndr1_1(a1026)
=> ( ~ c6_2(a1026,X74)
| c3_2(a1026,X74)
| c5_2(a1026,X74) ) )
& c5_1(a1026) )
| ! [X75] :
( ndr1_0
=> ( c5_1(X75)
| c8_1(X75)
| ! [X76] :
( ndr1_1(X75)
=> ( c10_2(X75,X76)
| ~ c4_2(X75,X76)
| c6_2(X75,X76) ) ) ) ) )
& ( c6_0
| ( ndr1_0
& ndr1_1(a1028)
& ~ c9_2(a1028,a1029)
& ~ c8_2(a1028,a1029)
& ~ c4_2(a1028,a1029)
& ! [X77] :
( ndr1_1(a1028)
=> ( c9_2(a1028,X77)
| ~ c3_2(a1028,X77)
| c5_2(a1028,X77) ) )
& ndr1_1(a1028)
& ~ c9_2(a1028,a1030)
& c4_2(a1028,a1030)
& ~ c8_2(a1028,a1030) )
| ( ndr1_0
& ndr1_1(a1031)
& c6_2(a1031,a1032)
& ~ c8_2(a1031,a1032)
& ~ c7_2(a1031,a1032)
& ! [X78] :
( ndr1_1(a1031)
=> ( ~ c6_2(a1031,X78)
| ~ c2_2(a1031,X78)
| c4_2(a1031,X78) ) ) ) )
& ( c9_0
| ( ndr1_0
& ! [X79] :
( ndr1_1(a1033)
=> ( ~ c4_2(a1033,X79)
| c7_2(a1033,X79)
| c2_2(a1033,X79) ) )
& ~ c7_1(a1033)
& ndr1_1(a1033)
& c10_2(a1033,a1034)
& c5_2(a1033,a1034)
& c8_2(a1033,a1034) )
| c4_0 )
& ( ( ndr1_0
& ndr1_1(a1035)
& c2_2(a1035,a1036)
& c8_2(a1035,a1036)
& ~ c9_2(a1035,a1036)
& ndr1_1(a1035)
& c3_2(a1035,a1037)
& c4_2(a1035,a1037)
& ~ c7_2(a1035,a1037)
& ndr1_1(a1035)
& ~ c9_2(a1035,a1038)
& ~ c1_2(a1035,a1038)
& ~ c10_2(a1035,a1038) )
| c8_0
| ! [X80] :
( ndr1_0
=> ( ! [X81] :
( ndr1_1(X80)
=> ( ~ c5_2(X80,X81)
| c4_2(X80,X81)
| ~ c8_2(X80,X81) ) )
| ( ndr1_1(X80)
& ~ c5_2(X80,a1039)
& ~ c8_2(X80,a1039)
& c6_2(X80,a1039) )
| c1_1(X80) ) ) )
& ( c10_0
| ~ c8_0 )
& ( ( ndr1_0
& ! [X82] :
( ndr1_1(a1040)
=> ( ~ c7_2(a1040,X82)
| c4_2(a1040,X82)
| c8_2(a1040,X82) ) )
& c3_1(a1040) )
| ! [X83] :
( ndr1_0
=> ( ~ c1_1(X83)
| ~ c7_1(X83)
| c10_1(X83) ) )
| ( ndr1_0
& ! [X84] :
( ndr1_1(a1041)
=> ( ~ c8_2(a1041,X84)
| ~ c1_2(a1041,X84)
| c5_2(a1041,X84) ) )
& ~ c3_1(a1041) ) )
& ( ( ndr1_0
& ! [X85] :
( ndr1_1(a1042)
=> ( ~ c7_2(a1042,X85)
| ~ c10_2(a1042,X85)
| c3_2(a1042,X85) ) )
& ! [X86] :
( ndr1_1(a1042)
=> ( c4_2(a1042,X86)
| ~ c3_2(a1042,X86)
| c6_2(a1042,X86) ) )
& ~ c9_1(a1042) )
| c7_0
| ~ c1_0 )
& ( ! [X87] :
( ndr1_0
=> ( c2_1(X87)
| ! [X88] :
( ndr1_1(X87)
=> ( c5_2(X87,X88)
| ~ c4_2(X87,X88) ) )
| c5_1(X87) ) )
| ~ c6_0
| ( ndr1_0
& ndr1_1(a1043)
& c4_2(a1043,a1044)
& ~ c6_2(a1043,a1044)
& ~ c1_2(a1043,a1044)
& c8_1(a1043)
& c5_1(a1043) ) )
& ( ! [X89] :
( ndr1_0
=> ( ! [X90] :
( ndr1_1(X89)
=> ( ~ c8_2(X89,X90)
| ~ c2_2(X89,X90) ) )
| c10_1(X89)
| ( ndr1_1(X89)
& c8_2(X89,a1045)
& c4_2(X89,a1045)
& ~ c2_2(X89,a1045) ) ) )
| c8_0
| ( ndr1_0
& ! [X91] :
( ndr1_1(a1046)
=> ( ~ c3_2(a1046,X91)
| ~ c8_2(a1046,X91)
| c10_2(a1046,X91) ) )
& ~ c9_1(a1046) ) )
& ( ( ndr1_0
& c7_1(a1047)
& ~ c1_1(a1047)
& ndr1_1(a1047)
& c6_2(a1047,a1048)
& ~ c3_2(a1047,a1048)
& c9_2(a1047,a1048) )
| ! [X92] :
( ndr1_0
=> ( ! [X93] :
( ndr1_1(X92)
=> ( ~ c7_2(X92,X93)
| c4_2(X92,X93)
| c3_2(X92,X93) ) )
| ( ndr1_1(X92)
& ~ c10_2(X92,a1049)
& ~ c9_2(X92,a1049)
& c8_2(X92,a1049) )
| c8_1(X92) ) )
| ( ndr1_0
& ! [X94] :
( ndr1_1(a1050)
=> ( ~ c8_2(a1050,X94)
| c10_2(a1050,X94)
| ~ c4_2(a1050,X94) ) )
& ! [X95] :
( ndr1_1(a1050)
=> ( c4_2(a1050,X95)
| ~ c9_2(a1050,X95)
| c8_2(a1050,X95) ) )
& c5_1(a1050) ) )
& ( ~ c8_0
| ( ndr1_0
& ndr1_1(a1051)
& ~ c8_2(a1051,a1052)
& ~ c2_2(a1051,a1052)
& ~ c9_2(a1051,a1052)
& ~ c4_1(a1051)
& c7_1(a1051) )
| c10_0 )
& ( ( ndr1_0
& ! [X96] :
( ndr1_1(a1053)
=> ( c8_2(a1053,X96)
| c2_2(a1053,X96)
| ~ c3_2(a1053,X96) ) )
& c1_1(a1053)
& ndr1_1(a1053)
& c10_2(a1053,a1054)
& c3_2(a1053,a1054)
& ~ c2_2(a1053,a1054) )
| c7_0
| ! [X97] :
( ndr1_0
=> ( c5_1(X97)
| c1_1(X97)
| ! [X98] :
( ndr1_1(X97)
=> ( ~ c1_2(X97,X98)
| ~ c3_2(X97,X98) ) ) ) ) )
& ( c6_0
| ~ c8_0
| ( ndr1_0
& ! [X99] :
( ndr1_1(a1055)
=> ( ~ c4_2(a1055,X99)
| ~ c6_2(a1055,X99)
| ~ c8_2(a1055,X99) ) )
& ndr1_1(a1055)
& c4_2(a1055,a1056)
& c10_2(a1055,a1056)
& c5_2(a1055,a1056)
& ndr1_1(a1055)
& ~ c2_2(a1055,a1057)
& c3_2(a1055,a1057)
& ~ c9_2(a1055,a1057) ) )
& ( ( ndr1_0
& ~ c1_1(a1058)
& ~ c10_1(a1058)
& ~ c5_1(a1058) )
| ( ndr1_0
& ! [X100] :
( ndr1_1(a1059)
=> ( ~ c2_2(a1059,X100)
| c1_2(a1059,X100)
| c8_2(a1059,X100) ) )
& ndr1_1(a1059)
& c4_2(a1059,a1060)
& ~ c9_2(a1059,a1060)
& ~ c5_2(a1059,a1060)
& ~ c9_1(a1059) )
| ( ndr1_0
& c1_1(a1061)
& ~ c9_1(a1061)
& c8_1(a1061) ) )
& ( ~ c4_0
| ( ndr1_0
& c10_1(a1062)
& ~ c5_1(a1062) )
| ! [X101] :
( ndr1_0
=> ( ! [X102] :
( ndr1_1(X101)
=> ( c1_2(X101,X102)
| c6_2(X101,X102)
| c9_2(X101,X102) ) )
| ( ndr1_1(X101)
& c6_2(X101,a1063)
& ~ c9_2(X101,a1063)
& ~ c5_2(X101,a1063) ) ) ) )
& ( ( ndr1_0
& ! [X103] :
( ndr1_1(a1064)
=> ( c1_2(a1064,X103)
| c8_2(a1064,X103)
| c3_2(a1064,X103) ) )
& ndr1_1(a1064)
& c8_2(a1064,a1065)
& ~ c1_2(a1064,a1065)
& ~ c2_2(a1064,a1065)
& ! [X104] :
( ndr1_1(a1064)
=> ( c10_2(a1064,X104)
| ~ c6_2(a1064,X104)
| ~ c7_2(a1064,X104) ) ) )
| ! [X105] :
( ndr1_0
=> ( c7_1(X105)
| ! [X106] :
( ndr1_1(X105)
=> ( c10_2(X105,X106)
| ~ c6_2(X105,X106)
| ~ c8_2(X105,X106) ) )
| ~ c9_1(X105) ) )
| ~ c10_0 )
& ( ~ c4_0
| c3_0
| ~ c5_0 )
& ( ( ndr1_0
& c7_1(a1066)
& ~ c8_1(a1066)
& ndr1_1(a1066)
& c6_2(a1066,a1067)
& c1_2(a1066,a1067)
& ~ c4_2(a1066,a1067) )
| ( ndr1_0
& ~ c3_1(a1068)
& ndr1_1(a1068)
& ~ c2_2(a1068,a1069)
& ~ c5_2(a1068,a1069)
& ndr1_1(a1068)
& c8_2(a1068,a1070)
& ~ c2_2(a1068,a1070)
& c1_2(a1068,a1070) )
| ~ c6_0 )
& ( ! [X107] :
( ndr1_0
=> ( ~ c1_1(X107)
| ! [X108] :
( ndr1_1(X107)
=> ( ~ c3_2(X107,X108)
| ~ c5_2(X107,X108)
| c7_2(X107,X108) ) )
| ( ndr1_1(X107)
& ~ c6_2(X107,a1071)
& c9_2(X107,a1071)
& ~ c7_2(X107,a1071) ) ) )
| c1_0
| ( ndr1_0
& c9_1(a1072)
& ~ c5_1(a1072)
& c2_1(a1072) ) )
& ( ! [X109] :
( ndr1_0
=> ( ~ c4_1(X109)
| ! [X110] :
( ndr1_1(X109)
=> ( c9_2(X109,X110)
| c10_2(X109,X110)
| ~ c1_2(X109,X110) ) )
| ( ndr1_1(X109)
& c3_2(X109,a1073)
& c10_2(X109,a1073) ) ) )
| c3_0
| ! [X111] :
( ndr1_0
=> ( c10_1(X111)
| ! [X112] :
( ndr1_1(X111)
=> ( ~ c1_2(X111,X112)
| ~ c5_2(X111,X112)
| c2_2(X111,X112) ) )
| c3_1(X111) ) ) )
& ( c4_0
| ( ndr1_0
& c7_1(a1074)
& ! [X113] :
( ndr1_1(a1074)
=> ( c5_2(a1074,X113)
| c8_2(a1074,X113) ) )
& ndr1_1(a1074)
& ~ c4_2(a1074,a1075)
& ~ c3_2(a1074,a1075)
& ~ c6_2(a1074,a1075) )
| c7_0 )
& ( ! [X114] :
( ndr1_0
=> ( ~ c2_1(X114)
| ( ndr1_1(X114)
& ~ c9_2(X114,a1076)
& ~ c6_2(X114,a1076)
& c8_2(X114,a1076) )
| ( ndr1_1(X114)
& ~ c6_2(X114,a1077)
& c4_2(X114,a1077)
& ~ c5_2(X114,a1077) ) ) )
| ( ndr1_0
& ~ c10_1(a1078)
& ! [X115] :
( ndr1_1(a1078)
=> ( c1_2(a1078,X115)
| c10_2(a1078,X115)
| ~ c6_2(a1078,X115) ) )
& ! [X116] :
( ndr1_1(a1078)
=> ( ~ c6_2(a1078,X116)
| ~ c10_2(a1078,X116)
| c2_2(a1078,X116) ) ) ) )
& ( c5_0
| ! [X117] :
( ndr1_0
=> ( ! [X118] :
( ndr1_1(X117)
=> ( c10_2(X117,X118)
| ~ c6_2(X117,X118)
| c3_2(X117,X118) ) )
| c4_1(X117)
| c7_1(X117) ) )
| ~ c3_0 )
& ( ! [X119] :
( ndr1_0
=> ( ! [X120] :
( ndr1_1(X119)
=> ( c9_2(X119,X120)
| c5_2(X119,X120)
| ~ c8_2(X119,X120) ) )
| c4_1(X119)
| ! [X121] :
( ndr1_1(X119)
=> ( c10_2(X119,X121)
| ~ c2_2(X119,X121)
| ~ c9_2(X119,X121) ) ) ) )
| ( ndr1_0
& c1_1(a1079)
& ~ c9_1(a1079)
& ~ c8_1(a1079) )
| ( ndr1_0
& ! [X122] :
( ndr1_1(a1080)
=> ( ~ c1_2(a1080,X122)
| c10_2(a1080,X122)
| ~ c9_2(a1080,X122) ) )
& c3_1(a1080)
& ! [X123] :
( ndr1_1(a1080)
=> ( ~ c6_2(a1080,X123)
| ~ c7_2(a1080,X123)
| ~ c9_2(a1080,X123) ) ) ) )
& ( ( ndr1_0
& ndr1_1(a1081)
& c8_2(a1081,a1082)
& ~ c9_2(a1081,a1082)
& ~ c1_2(a1081,a1082)
& ndr1_1(a1081)
& c7_2(a1081,a1083)
& ~ c6_2(a1081,a1083)
& c3_2(a1081,a1083)
& ! [X124] :
( ndr1_1(a1081)
=> ( c6_2(a1081,X124)
| c1_2(a1081,X124)
| ~ c3_2(a1081,X124) ) ) )
| ~ c8_0
| ~ c5_0 )
& ( ! [X125] :
( ndr1_0
=> ( ( ndr1_1(X125)
& ~ c2_2(X125,a1084)
& ~ c9_2(X125,a1084)
& ~ c5_2(X125,a1084) )
| ~ c2_1(X125)
| ! [X126] :
( ndr1_1(X125)
=> ( ~ c1_2(X125,X126)
| c6_2(X125,X126) ) ) ) )
| ! [X127] :
( ndr1_0
=> ( ( ndr1_1(X127)
& c3_2(X127,a1085)
& ~ c2_2(X127,a1085)
& ~ c9_2(X127,a1085) )
| c6_1(X127)
| ( ndr1_1(X127)
& ~ c2_2(X127,a1086)
& c9_2(X127,a1086)
& c4_2(X127,a1086) ) ) )
| ~ c7_0 )
& ( ~ c2_0
| ( ndr1_0
& ! [X128] :
( ndr1_1(a1087)
=> ( c6_2(a1087,X128)
| ~ c8_2(a1087,X128)
| ~ c3_2(a1087,X128) ) )
& ndr1_1(a1087)
& ~ c5_2(a1087,a1088)
& ~ c4_2(a1087,a1088)
& ~ c10_2(a1087,a1088)
& ! [X129] :
( ndr1_1(a1087)
=> ( c9_2(a1087,X129)
| c5_2(a1087,X129)
| c6_2(a1087,X129) ) ) ) )
& ( ( ndr1_0
& ndr1_1(a1089)
& c10_2(a1089,a1090)
& c9_2(a1089,a1090)
& c7_2(a1089,a1090)
& ndr1_1(a1089)
& c1_2(a1089,a1091)
& ~ c7_2(a1089,a1091)
& c5_1(a1089) )
| ! [X130] :
( ndr1_0
=> ( ~ c2_1(X130)
| c7_1(X130)
| c10_1(X130) ) )
| ( ndr1_0
& ndr1_1(a1092)
& ~ c4_2(a1092,a1093)
& ~ c10_2(a1092,a1093)
& ~ c7_2(a1092,a1093)
& ndr1_1(a1092)
& c10_2(a1092,a1094)
& ~ c5_2(a1092,a1094)
& ~ c3_2(a1092,a1094)
& ~ c10_1(a1092) ) )
& ( c6_0
| ( ndr1_0
& ! [X131] :
( ndr1_1(a1095)
=> ( ~ c9_2(a1095,X131)
| ~ c5_2(a1095,X131)
| c2_2(a1095,X131) ) )
& ~ c9_1(a1095)
& ! [X132] :
( ndr1_1(a1095)
=> ( c8_2(a1095,X132)
| c2_2(a1095,X132)
| ~ c9_2(a1095,X132) ) ) )
| c5_0 )
& ( ~ c4_0
| c2_0
| ! [X133] :
( ndr1_0
=> ( ! [X134] :
( ndr1_1(X133)
=> ( ~ c3_2(X133,X134)
| ~ c7_2(X133,X134) ) )
| ~ c6_1(X133)
| ( ndr1_1(X133)
& ~ c4_2(X133,a1096)
& ~ c7_2(X133,a1096)
& c6_2(X133,a1096) ) ) ) )
& ( ! [X135] :
( ndr1_0
=> ( c7_1(X135)
| c3_1(X135)
| ! [X136] :
( ndr1_1(X135)
=> ( c7_2(X135,X136)
| ~ c6_2(X135,X136)
| c9_2(X135,X136) ) ) ) )
| c6_0
| ! [X137] :
( ndr1_0
=> ( ! [X138] :
( ndr1_1(X137)
=> ( ~ c1_2(X137,X138)
| ~ c9_2(X137,X138)
| c6_2(X137,X138) ) )
| ( ndr1_1(X137)
& ~ c6_2(X137,a1097)
& c9_2(X137,a1097) )
| ~ c4_1(X137) ) ) )
& ( c6_0
| c9_0
| c7_0 )
& ( c4_0
| ~ c7_0
| ! [X139] :
( ndr1_0
=> ( ~ c6_1(X139)
| ! [X140] :
( ndr1_1(X139)
=> ( c5_2(X139,X140)
| c9_2(X139,X140) ) )
| ~ c3_1(X139) ) ) )
& ( ! [X141] :
( ndr1_0
=> ( ~ c1_1(X141)
| ~ c2_1(X141)
| ! [X142] :
( ndr1_1(X141)
=> ( c8_2(X141,X142)
| ~ c4_2(X141,X142)
| c7_2(X141,X142) ) ) ) )
| ( ndr1_0
& ~ c8_1(a1098)
& ! [X143] :
( ndr1_1(a1098)
=> ( ~ c9_2(a1098,X143)
| ~ c2_2(a1098,X143)
| c3_2(a1098,X143) ) )
& ~ c5_1(a1098) ) )
& ( ~ c9_0
| c4_0
| ( ndr1_0
& ! [X144] :
( ndr1_1(a1099)
=> ( c7_2(a1099,X144)
| c8_2(a1099,X144)
| c3_2(a1099,X144) ) )
& c5_1(a1099)
& ~ c8_1(a1099) ) )
& ( ! [X145] :
( ndr1_0
=> ( ( ndr1_1(X145)
& ~ c10_2(X145,a1100)
& c8_2(X145,a1100) )
| ~ c2_1(X145)
| ~ c5_1(X145) ) )
| ~ c2_0
| c5_0 )
& ! [X146] :
( ndr1_0
=> ( ~ c10_1(X146)
| ~ c2_1(X146)
| ! [X147] :
( ndr1_1(X146)
=> ( c3_2(X146,X147)
| c2_2(X146,X147) ) ) ) )
& ( c3_0
| ! [X148] :
( ndr1_0
=> ( c8_1(X148)
| c1_1(X148)
| ( ndr1_1(X148)
& c4_2(X148,a1101)
& c5_2(X148,a1101)
& c3_2(X148,a1101) ) ) )
| ! [X149] :
( ndr1_0
=> ( ! [X150] :
( ndr1_1(X149)
=> ( ~ c2_2(X149,X150)
| ~ c1_2(X149,X150)
| c10_2(X149,X150) ) )
| ( ndr1_1(X149)
& ~ c4_2(X149,a1102)
& ~ c5_2(X149,a1102)
& c8_2(X149,a1102) )
| c3_1(X149) ) ) )
& ( c9_0
| c6_0
| ! [X151] :
( ndr1_0
=> ( c4_1(X151)
| ~ c1_1(X151)
| ( ndr1_1(X151)
& ~ c2_2(X151,a1103)
& ~ c7_2(X151,a1103) ) ) ) )
& ( ! [X152] :
( ndr1_0
=> ( ( ndr1_1(X152)
& ~ c3_2(X152,a1104)
& c9_2(X152,a1104)
& ~ c2_2(X152,a1104) )
| ~ c2_1(X152)
| c3_1(X152) ) )
| ! [X153] :
( ndr1_0
=> ( c6_1(X153)
| c3_1(X153)
| ( ndr1_1(X153)
& c1_2(X153,a1105)
& ~ c5_2(X153,a1105)
& ~ c8_2(X153,a1105) ) ) ) )
& ( c3_0
| c4_0
| c6_0 )
& ( ! [X154] :
( ndr1_0
=> ( ~ c3_1(X154)
| ~ c8_1(X154) ) )
| ( ndr1_0
& ndr1_1(a1106)
& ~ c6_2(a1106,a1107)
& c4_2(a1106,a1107)
& c9_2(a1106,a1107)
& ndr1_1(a1106)
& ~ c10_2(a1106,a1108)
& ~ c3_2(a1106,a1108)
& ~ c8_2(a1106,a1108) )
| ~ c1_0 )
& ( ! [X155] :
( ndr1_0
=> ( ( ndr1_1(X155)
& ~ c1_2(X155,a1109)
& c4_2(X155,a1109)
& ~ c2_2(X155,a1109) )
| ! [X156] :
( ndr1_1(X155)
=> ( c10_2(X155,X156)
| c2_2(X155,X156) ) )
| ! [X157] :
( ndr1_1(X155)
=> ( ~ c3_2(X155,X157)
| c10_2(X155,X157)
| c8_2(X155,X157) ) ) ) )
| c9_0
| c4_0 )
& ( ! [X158] :
( ndr1_0
=> ( c10_1(X158)
| ( ndr1_1(X158)
& ~ c10_2(X158,a1110)
& ~ c7_2(X158,a1110)
& ~ c2_2(X158,a1110) ) ) )
| ! [X159] :
( ndr1_0
=> ( ( ndr1_1(X159)
& c10_2(X159,a1111)
& c9_2(X159,a1111)
& ~ c3_2(X159,a1111) )
| ~ c6_1(X159)
| ( ndr1_1(X159)
& ~ c9_2(X159,a1112)
& c7_2(X159,a1112)
& c5_2(X159,a1112) ) ) )
| ! [X160] :
( ndr1_0
=> ( ( ndr1_1(X160)
& c6_2(X160,a1113)
& c3_2(X160,a1113)
& c1_2(X160,a1113) )
| ~ c7_1(X160) ) ) )
& ( ~ c5_0
| ( ndr1_0
& c9_1(a1114)
& c2_1(a1114)
& ~ c1_1(a1114) )
| ! [X161] :
( ndr1_0
=> ( c4_1(X161)
| ~ c5_1(X161)
| ~ c1_1(X161) ) ) )
& ( ~ c10_0
| ~ c1_0 )
& ( ~ c10_0
| ( ndr1_0
& ! [X162] :
( ndr1_1(a1115)
=> ( c9_2(a1115,X162)
| c2_2(a1115,X162)
| c7_2(a1115,X162) ) )
& ndr1_1(a1115)
& ~ c10_2(a1115,a1116)
& c9_2(a1115,a1116)
& ~ c6_2(a1115,a1116)
& ! [X163] :
( ndr1_1(a1115)
=> ( ~ c8_2(a1115,X163)
| c9_2(a1115,X163)
| ~ c5_2(a1115,X163) ) ) )
| ! [X164] :
( ndr1_0
=> ( c6_1(X164)
| c3_1(X164)
| ( ndr1_1(X164)
& ~ c10_2(X164,a1117)
& ~ c1_2(X164,a1117) ) ) ) )
& ( ( ndr1_0
& c7_1(a1118)
& c6_1(a1118)
& ndr1_1(a1118)
& ~ c5_2(a1118,a1119)
& c4_2(a1118,a1119)
& ~ c2_2(a1118,a1119) )
| ( ndr1_0
& ~ c1_1(a1120)
& c4_1(a1120)
& ndr1_1(a1120)
& c2_2(a1120,a1121)
& c1_2(a1120,a1121)
& c9_2(a1120,a1121) )
| c8_0 )
& ( ! [X165] :
( ndr1_0
=> ( c10_1(X165)
| ( ndr1_1(X165)
& ~ c9_2(X165,a1122)
& ~ c2_2(X165,a1122)
& c10_2(X165,a1122) )
| c8_1(X165) ) )
| ~ c7_0
| ( ndr1_0
& c5_1(a1123)
& ! [X166] :
( ndr1_1(a1123)
=> ( c7_2(a1123,X166)
| c1_2(a1123,X166)
| c6_2(a1123,X166) ) )
& ! [X167] :
( ndr1_1(a1123)
=> ( c6_2(a1123,X167)
| ~ c1_2(a1123,X167)
| ~ c10_2(a1123,X167) ) ) ) )
& ( ! [X168] :
( ndr1_0
=> ( ~ c7_1(X168)
| c6_1(X168)
| c10_1(X168) ) )
| ~ c4_0
| ( ndr1_0
& ! [X169] :
( ndr1_1(a1124)
=> ( c6_2(a1124,X169)
| ~ c4_2(a1124,X169)
| ~ c8_2(a1124,X169) ) )
& c7_1(a1124)
& ~ c2_1(a1124) ) )
& ( c8_0
| ( ndr1_0
& ndr1_1(a1125)
& c8_2(a1125,a1126)
& ~ c3_2(a1125,a1126)
& ~ c10_2(a1125,a1126)
& ~ c4_1(a1125)
& ndr1_1(a1125)
& c5_2(a1125,a1127)
& ~ c1_2(a1125,a1127)
& c4_2(a1125,a1127) )
| ~ c6_0 )
& ( ~ c6_0
| c5_0
| c1_0 )
& ( ! [X170] :
( ndr1_0
=> ( ! [X171] :
( ndr1_1(X170)
=> ( ~ c7_2(X170,X171)
| ~ c3_2(X170,X171)
| ~ c1_2(X170,X171) ) )
| ( ndr1_1(X170)
& ~ c7_2(X170,a1128)
& ~ c10_2(X170,a1128) )
| ( ndr1_1(X170)
& ~ c4_2(X170,a1129)
& c1_2(X170,a1129)
& ~ c6_2(X170,a1129) ) ) )
| c10_0
| ( ndr1_0
& ~ c10_1(a1130)
& ! [X172] :
( ndr1_1(a1130)
=> ( c9_2(a1130,X172)
| c1_2(a1130,X172)
| c10_2(a1130,X172) ) )
& ~ c8_1(a1130) ) )
& ( ( ndr1_0
& ! [X173] :
( ndr1_1(a1131)
=> ( c4_2(a1131,X173)
| c6_2(a1131,X173)
| c3_2(a1131,X173) ) )
& ndr1_1(a1131)
& ~ c4_2(a1131,a1132)
& c2_2(a1131,a1132)
& ! [X174] :
( ndr1_1(a1131)
=> ( c4_2(a1131,X174)
| ~ c3_2(a1131,X174)
| ~ c1_2(a1131,X174) ) ) )
| ( ndr1_0
& c7_1(a1133)
& ~ c2_1(a1133)
& ndr1_1(a1133)
& ~ c2_2(a1133,a1134)
& c5_2(a1133,a1134)
& ~ c6_2(a1133,a1134) )
| ~ c9_0 )
& ( c6_0
| ( ndr1_0
& c9_1(a1135)
& c4_1(a1135)
& ~ c3_1(a1135) )
| ( ndr1_0
& ~ c9_1(a1136)
& ndr1_1(a1136)
& ~ c3_2(a1136,a1137)
& c1_2(a1136,a1137)
& ~ c6_2(a1136,a1137)
& c1_1(a1136) ) )
& ( ! [X175] :
( ndr1_0
=> ( ( ndr1_1(X175)
& c10_2(X175,a1138)
& c2_2(X175,a1138)
& c9_2(X175,a1138) )
| c3_1(X175) ) )
| ~ c9_0
| c4_0 )
& ( ~ c9_0
| ! [X176] :
( ndr1_0
=> ( ~ c10_1(X176)
| ! [X177] :
( ndr1_1(X176)
=> ( ~ c10_2(X176,X177)
| ~ c9_2(X176,X177)
| ~ c8_2(X176,X177) ) ) ) )
| ~ c1_0 )
& ( ( ndr1_0
& ~ c1_1(a1139)
& ! [X178] :
( ndr1_1(a1139)
=> ( c7_2(a1139,X178)
| ~ c6_2(a1139,X178)
| c5_2(a1139,X178) ) )
& ~ c10_1(a1139) )
| ( ndr1_0
& c6_1(a1140)
& ndr1_1(a1140)
& c9_2(a1140,a1141)
& ~ c1_2(a1140,a1141)
& ~ c4_2(a1140,a1141) )
| ~ c1_0 )
& ( ! [X179] :
( ndr1_0
=> ( ~ c2_1(X179)
| ( ndr1_1(X179)
& ~ c1_2(X179,a1142)
& ~ c8_2(X179,a1142)
& ~ c4_2(X179,a1142) )
| c5_1(X179) ) )
| c4_0
| ( ndr1_0
& c8_1(a1143)
& ~ c7_1(a1143) ) )
& ( c9_0
| ~ c4_0
| ( ndr1_0
& ndr1_1(a1144)
& c4_2(a1144,a1145)
& ~ c1_2(a1144,a1145)
& c3_2(a1144,a1145)
& ~ c5_1(a1144)
& ~ c10_1(a1144) ) )
& ( c8_0
| ~ c7_0
| ! [X180] :
( ndr1_0
=> ( ~ c5_1(X180)
| ! [X181] :
( ndr1_1(X180)
=> ( ~ c1_2(X180,X181)
| ~ c8_2(X180,X181) ) )
| ! [X182] :
( ndr1_1(X180)
=> ( ~ c2_2(X180,X182)
| ~ c6_2(X180,X182)
| ~ c1_2(X180,X182) ) ) ) ) )
& ( ~ c8_0
| ( ndr1_0
& ! [X183] :
( ndr1_1(a1146)
=> ( c9_2(a1146,X183)
| c8_2(a1146,X183)
| c10_2(a1146,X183) ) )
& ~ c2_1(a1146)
& ~ c1_1(a1146) )
| ! [X184] :
( ndr1_0
=> ( ( ndr1_1(X184)
& ~ c9_2(X184,a1147)
& ~ c3_2(X184,a1147)
& ~ c6_2(X184,a1147) )
| c7_1(X184)
| c8_1(X184) ) ) )
& ( ~ c5_0
| ! [X185] :
( ndr1_0
=> ( ( ndr1_1(X185)
& ~ c8_2(X185,a1148)
& c4_2(X185,a1148) )
| ~ c2_1(X185)
| c9_1(X185) ) )
| ! [X186] :
( ndr1_0
=> ( ~ c5_1(X186)
| ! [X187] :
( ndr1_1(X186)
=> ( ~ c8_2(X186,X187)
| c2_2(X186,X187) ) )
| c10_1(X186) ) ) )
& ( ~ c4_0
| ! [X188] :
( ndr1_0
=> ( ~ c5_1(X188)
| ( ndr1_1(X188)
& ~ c7_2(X188,a1149)
& c9_2(X188,a1149) )
| ! [X189] :
( ndr1_1(X188)
=> ( c7_2(X188,X189)
| c9_2(X188,X189)
| c6_2(X188,X189) ) ) ) )
| ~ c2_0 )
& ( ( ndr1_0
& c10_1(a1150)
& c5_1(a1150)
& c1_1(a1150) )
| ! [X190] :
( ndr1_0
=> ( ! [X191] :
( ndr1_1(X190)
=> ( c4_2(X190,X191)
| c8_2(X190,X191)
| ~ c5_2(X190,X191) ) )
| ~ c7_1(X190)
| ~ c2_1(X190) ) )
| c2_0 )
& ( c2_0
| ! [X192] :
( ndr1_0
=> ( ~ c1_1(X192)
| ( ndr1_1(X192)
& ~ c3_2(X192,a1151)
& c2_2(X192,a1151)
& ~ c5_2(X192,a1151) )
| ( ndr1_1(X192)
& ~ c10_2(X192,a1152)
& c8_2(X192,a1152)
& ~ c4_2(X192,a1152) ) ) ) )
& ( c8_0
| c9_0
| ! [X193] :
( ndr1_0
=> ( ~ c5_1(X193)
| ~ c7_1(X193)
| ! [X194] :
( ndr1_1(X193)
=> ( ~ c6_2(X193,X194)
| ~ c2_2(X193,X194)
| ~ c3_2(X193,X194) ) ) ) ) )
& ( ( ndr1_0
& c4_1(a1153)
& ! [X195] :
( ndr1_1(a1153)
=> ( c6_2(a1153,X195)
| ~ c10_2(a1153,X195)
| c9_2(a1153,X195) ) )
& ~ c9_1(a1153) )
| c7_0
| ( ndr1_0
& ~ c6_1(a1154)
& c9_1(a1154)
& ! [X196] :
( ndr1_1(a1154)
=> ( c4_2(a1154,X196)
| ~ c9_2(a1154,X196)
| c7_2(a1154,X196) ) ) ) )
& ( ( ndr1_0
& c6_1(a1155)
& ! [X197] :
( ndr1_1(a1155)
=> ( c9_2(a1155,X197)
| c4_2(a1155,X197)
| c8_2(a1155,X197) ) )
& ! [X198] :
( ndr1_1(a1155)
=> ( c3_2(a1155,X198)
| c1_2(a1155,X198)
| ~ c9_2(a1155,X198) ) ) )
| ~ c10_0
| ! [X199] :
( ndr1_0
=> ( ( ndr1_1(X199)
& ~ c10_2(X199,a1156)
& c6_2(X199,a1156)
& ~ c9_2(X199,a1156) )
| ( ndr1_1(X199)
& c4_2(X199,a1157)
& c6_2(X199,a1157)
& ~ c10_2(X199,a1157) )
| ( ndr1_1(X199)
& ~ c7_2(X199,a1158)
& c6_2(X199,a1158)
& ~ c8_2(X199,a1158) ) ) ) )
& ( ! [X200] :
( ndr1_0
=> ( ! [X201] :
( ndr1_1(X200)
=> ( ~ c8_2(X200,X201)
| c9_2(X200,X201)
| ~ c5_2(X200,X201) ) )
| ( ndr1_1(X200)
& c2_2(X200,a1159)
& ~ c9_2(X200,a1159)
& c10_2(X200,a1159) )
| c9_1(X200) ) )
| ( ndr1_0
& ndr1_1(a1160)
& ~ c10_2(a1160,a1161)
& c7_2(a1160,a1161)
& c2_2(a1160,a1161)
& ! [X202] :
( ndr1_1(a1160)
=> ( ~ c9_2(a1160,X202)
| c10_2(a1160,X202) ) )
& ~ c6_1(a1160) )
| ~ c7_0 )
& ( ~ c5_0
| ( ndr1_0
& ndr1_1(a1162)
& ~ c8_2(a1162,a1163)
& ~ c10_2(a1162,a1163)
& ~ c3_2(a1162,a1163)
& ~ c6_1(a1162)
& ndr1_1(a1162)
& ~ c5_2(a1162,a1164)
& c4_2(a1162,a1164)
& c8_2(a1162,a1164) )
| c4_0 )
& ( ! [X203] :
( ndr1_0
=> ( ! [X204] :
( ndr1_1(X203)
=> ( ~ c3_2(X203,X204)
| ~ c7_2(X203,X204)
| ~ c9_2(X203,X204) ) )
| ! [X205] :
( ndr1_1(X203)
=> ( c2_2(X203,X205)
| c8_2(X203,X205)
| ~ c6_2(X203,X205) ) )
| c7_1(X203) ) )
| c7_0 )
& ( c2_0
| ( ndr1_0
& ~ c4_1(a1165)
& c10_1(a1165)
& ndr1_1(a1165)
& ~ c5_2(a1165,a1166)
& c6_2(a1165,a1166)
& c9_2(a1165,a1166) )
| ( ndr1_0
& ndr1_1(a1167)
& ~ c10_2(a1167,a1168)
& ~ c7_2(a1167,a1168)
& ~ c3_2(a1167,a1168)
& ~ c7_1(a1167) ) )
& ( c2_0
| ! [X206] :
( ndr1_0
=> ( ( ndr1_1(X206)
& ~ c10_2(X206,a1169)
& c7_2(X206,a1169)
& ~ c1_2(X206,a1169) )
| ! [X207] :
( ndr1_1(X206)
=> ( c2_2(X206,X207)
| ~ c9_2(X206,X207)
| ~ c8_2(X206,X207) ) )
| ! [X208] :
( ndr1_1(X206)
=> ( ~ c9_2(X206,X208)
| c2_2(X206,X208)
| c3_2(X206,X208) ) ) ) )
| ! [X209] :
( ndr1_0
=> ( ~ c8_1(X209)
| ! [X210] :
( ndr1_1(X209)
=> ( ~ c6_2(X209,X210)
| ~ c1_2(X209,X210)
| ~ c8_2(X209,X210) ) )
| ~ c10_1(X209) ) ) )
& ( ( ndr1_0
& c2_1(a1170)
& ! [X211] :
( ndr1_1(a1170)
=> ( c8_2(a1170,X211)
| ~ c6_2(a1170,X211)
| c10_2(a1170,X211) ) )
& ndr1_1(a1170)
& c6_2(a1170,a1171)
& ~ c9_2(a1170,a1171)
& c10_2(a1170,a1171) )
| c8_0
| c4_0 )
& ( ! [X212] :
( ndr1_0
=> ( c3_1(X212)
| c10_1(X212)
| ~ c7_1(X212) ) )
| c8_0
| ~ c5_0 )
& ( ! [X213] :
( ndr1_0
=> ( ~ c7_1(X213)
| c4_1(X213)
| ( ndr1_1(X213)
& c4_2(X213,a1172)
& c1_2(X213,a1172)
& c10_2(X213,a1172) ) ) )
| ~ c2_0
| ( ndr1_0
& c3_1(a1173)
& ! [X214] :
( ndr1_1(a1173)
=> ( c5_2(a1173,X214)
| c4_2(a1173,X214)
| ~ c9_2(a1173,X214) ) )
& ndr1_1(a1173)
& c4_2(a1173,a1174)
& ~ c5_2(a1173,a1174) ) )
& ( ~ c3_0
| c7_0
| ! [X215] :
( ndr1_0
=> ( ( ndr1_1(X215)
& ~ c7_2(X215,a1175) )
| ~ c5_1(X215)
| ! [X216] :
( ndr1_1(X215)
=> ( ~ c3_2(X215,X216)
| c5_2(X215,X216)
| c6_2(X215,X216) ) ) ) ) )
& ( c1_0
| ~ c7_0 )
& ( ! [X217] :
( ndr1_0
=> ( ! [X218] :
( ndr1_1(X217)
=> ( c3_2(X217,X218)
| c4_2(X217,X218)
| c7_2(X217,X218) ) )
| c9_1(X217)
| ( ndr1_1(X217)
& c6_2(X217,a1176)
& c7_2(X217,a1176)
& ~ c1_2(X217,a1176) ) ) )
| ! [X219] :
( ndr1_0
=> ( ~ c1_1(X219)
| ( ndr1_1(X219)
& c9_2(X219,a1177)
& c8_2(X219,a1177)
& c6_2(X219,a1177) )
| ( ndr1_1(X219)
& ~ c4_2(X219,a1178)
& c2_2(X219,a1178)
& c1_2(X219,a1178) ) ) )
| ! [X220] :
( ndr1_0
=> ( ( ndr1_1(X220)
& ~ c2_2(X220,a1179)
& c8_2(X220,a1179)
& ~ c1_2(X220,a1179) )
| ( ndr1_1(X220)
& c10_2(X220,a1180)
& ~ c5_2(X220,a1180)
& ~ c1_2(X220,a1180) )
| c5_1(X220) ) ) )
& ( ! [X221] :
( ndr1_0
=> ( ! [X222] :
( ndr1_1(X221)
=> ( c10_2(X221,X222)
| c1_2(X221,X222)
| ~ c8_2(X221,X222) ) )
| ( ndr1_1(X221)
& c9_2(X221,a1181)
& ~ c1_2(X221,a1181)
& c3_2(X221,a1181) )
| ( ndr1_1(X221)
& c8_2(X221,a1182)
& ~ c9_2(X221,a1182)
& ~ c4_2(X221,a1182) ) ) )
| ( ndr1_0
& ndr1_1(a1183)
& ~ c9_2(a1183,a1184)
& c8_2(a1183,a1184)
& c3_2(a1183,a1184)
& ~ c10_1(a1183)
& ndr1_1(a1183)
& c5_2(a1183,a1185)
& c10_2(a1183,a1185)
& ~ c7_2(a1183,a1185) )
| ! [X223] :
( ndr1_0
=> ( ~ c10_1(X223)
| ! [X224] :
( ndr1_1(X223)
=> ( c8_2(X223,X224)
| c1_2(X223,X224) ) ) ) ) )
& ( ( ndr1_0
& ndr1_1(a1186)
& c3_2(a1186,a1187)
& ~ c6_2(a1186,a1187)
& ndr1_1(a1186)
& ~ c1_2(a1186,a1188)
& c3_2(a1186,a1188)
& c3_1(a1186) )
| c2_0 )
& ( ~ c6_0
| c1_0
| ! [X225] :
( ndr1_0
=> ( ~ c9_1(X225)
| ! [X226] :
( ndr1_1(X225)
=> ( c3_2(X225,X226)
| ~ c1_2(X225,X226)
| c5_2(X225,X226) ) )
| ( ndr1_1(X225)
& c1_2(X225,a1189)
& ~ c6_2(X225,a1189)
& c2_2(X225,a1189) ) ) ) ) ) ).
%--------------------------------------------------------------------------