TPTP Problem File: SYN429+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN429+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=093
% 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-10-1-150-3-2-093.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v5.5.0, 0.30 v5.4.0, 0.40 v5.3.0, 0.25 v5.0.0, 0.33 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, 0.67 v2.7.0, 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 : 1601 ( 0 equ)
% Maximal formula atoms : 1601 (1601 avg)
% Number of connectives : 2195 ( 595 ~; 647 |; 737 &)
% ( 0 <=>; 216 =>; 0 <=; 0 <~>)
% Maximal formula depth : 141 ( 141 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 32 usr; 11 prp; 0-2 aty)
% Number of functors : 217 ( 217 usr; 217 con; 0-0 aty)
% Number of variables : 216 ( 216 !; 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,
~ ( ( c1_0
| c2_0
| c9_0 )
& ( c1_0
| c4_0
| ! [U] :
( ndr1_0
=> ( ! [V] :
( ndr1_1(U)
=> ( c10_2(U,V)
| ~ c2_2(U,V) ) )
| ! [W] :
( ndr1_1(U)
=> ( c7_2(U,W)
| ~ c5_2(U,W)
| ~ c9_2(U,W) ) )
| ! [X] :
( ndr1_1(U)
=> ( ~ c4_2(U,X)
| ~ c9_2(U,X) ) ) ) ) )
& ( c1_0
| c4_0
| ( ndr1_0
& ! [Y] :
( ndr1_1(a1)
=> ( c7_2(a1,Y)
| ~ c3_2(a1,Y)
| ~ c6_2(a1,Y) ) )
& ndr1_1(a1)
& c6_2(a1,a2)
& c9_2(a1,a2)
& ~ c4_2(a1,a2)
& ndr1_1(a1)
& ~ c10_2(a1,a3)
& ~ c7_2(a1,a3) ) )
& ( c1_0
| c6_0
| c9_0 )
& ( c1_0
| c6_0
| ( ndr1_0
& c4_1(a4)
& ndr1_1(a4)
& c6_2(a4,a5)
& c7_2(a4,a5)
& ~ c8_2(a4,a5)
& ndr1_1(a4)
& c6_2(a4,a6)
& ~ c2_2(a4,a6)
& ~ c9_2(a4,a6) ) )
& ( c1_0
| c6_0
| ( ndr1_0
& ! [Z] :
( ndr1_1(a7)
=> ( c1_2(a7,Z)
| c7_2(a7,Z)
| ~ c3_2(a7,Z) ) )
& ! [X1] :
( ndr1_1(a7)
=> ( c4_2(a7,X1)
| ~ c1_2(a7,X1)
| ~ c5_2(a7,X1) ) )
& ndr1_1(a7)
& c7_2(a7,a8)
& ~ c10_2(a7,a8)
& ~ c3_2(a7,a8) ) )
& ( c1_0
| ~ c10_0
| ~ c4_0 )
& ( c1_0
| ~ c4_0
| ~ c9_0 )
& ( c1_0
| ~ c5_0
| ! [X2] :
( ndr1_0
=> ( c3_1(X2)
| ( ndr1_1(X2)
& c2_2(X2,a9)
& c3_2(X2,a9)
& ~ c8_2(X2,a9) ) ) ) )
& ( c1_0
| ~ c7_0
| ! [X3] :
( ndr1_0
=> ( ~ c1_1(X3)
| ~ c9_1(X3)
| ! [X4] :
( ndr1_1(X3)
=> ( ~ c10_2(X3,X4)
| ~ c3_2(X3,X4) ) ) ) ) )
& ( c1_0
| ~ c9_0
| ! [X5] :
( ndr1_0
=> ( c8_1(X5)
| ! [X6] :
( ndr1_1(X5)
=> ( c4_2(X5,X6)
| c9_2(X5,X6)
| ~ c8_2(X5,X6) ) )
| ! [X7] :
( ndr1_1(X5)
=> ( c5_2(X5,X7)
| c8_2(X5,X7)
| ~ c10_2(X5,X7) ) ) ) ) )
& ( c1_0
| ~ c9_0
| ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| ( ndr1_1(X8)
& c1_2(X8,a10)
& c2_2(X8,a10)
& c9_2(X8,a10) )
| ( ndr1_1(X8)
& c1_2(X8,a11)
& ~ c4_2(X8,a11)
& ~ c6_2(X8,a11) ) ) ) )
& ( c10_0
| c3_0
| ( ndr1_0
& ~ c9_1(a12)
& ndr1_1(a12)
& c10_2(a12,a13)
& c3_2(a12,a13)
& ~ c1_2(a12,a13)
& ndr1_1(a12)
& c3_2(a12,a14)
& c5_2(a12,a14)
& ~ c1_2(a12,a14) ) )
& ( c10_0
| ~ c1_0
| ( ndr1_0
& ~ c4_1(a15)
& ~ c5_1(a15)
& ndr1_1(a15)
& c1_2(a15,a16)
& c8_2(a15,a16)
& ~ c5_2(a15,a16) ) )
& ( c10_0
| ~ c4_0
| ! [X9] :
( ndr1_0
=> ( ! [X10] :
( ndr1_1(X9)
=> ( c10_2(X9,X10)
| ~ c2_2(X9,X10)
| ~ c9_2(X9,X10) ) )
| ( ndr1_1(X9)
& c1_2(X9,a17)
& c2_2(X9,a17)
& c6_2(X9,a17) )
| ( ndr1_1(X9)
& c1_2(X9,a18)
& ~ c5_2(X9,a18)
& ~ c9_2(X9,a18) ) ) ) )
& ( c10_0
| ~ c9_0
| ( ndr1_0
& c4_1(a19)
& ~ c6_1(a19)
& ! [X11] :
( ndr1_1(a19)
=> ( c10_2(a19,X11)
| c5_2(a19,X11)
| c8_2(a19,X11) ) ) ) )
& ( c10_0
| ! [X12] :
( ndr1_0
=> ( c10_1(X12)
| ~ c2_1(X12)
| ! [X13] :
( ndr1_1(X12)
=> ( c4_2(X12,X13)
| c8_2(X12,X13)
| c9_2(X12,X13) ) ) ) )
| ! [X14] :
( ndr1_0
=> ( ~ c2_1(X14)
| ! [X15] :
( ndr1_1(X14)
=> ( c5_2(X14,X15)
| c6_2(X14,X15)
| ~ c2_2(X14,X15) ) )
| ( ndr1_1(X14)
& c2_2(X14,a20)
& c5_2(X14,a20)
& c7_2(X14,a20) ) ) ) )
& ( c10_0
| ! [X16] :
( ndr1_0
=> ( c2_1(X16)
| ~ c3_1(X16)
| ! [X17] :
( ndr1_1(X16)
=> ( c1_2(X16,X17)
| ~ c3_2(X16,X17)
| ~ c7_2(X16,X17) ) ) ) )
| ! [X18] :
( ndr1_0
=> ( c7_1(X18)
| ~ c2_1(X18)
| ~ c6_1(X18) ) ) )
& ( c10_0
| ! [X19] :
( ndr1_0
=> ( c4_1(X19)
| ~ c2_1(X19)
| ( ndr1_1(X19)
& c4_2(X19,a21)
& ~ c8_2(X19,a21) ) ) )
| ! [X20] :
( ndr1_0
=> ( ! [X21] :
( ndr1_1(X20)
=> ( c5_2(X20,X21)
| ~ c4_2(X20,X21)
| ~ c6_2(X20,X21) ) )
| ( ndr1_1(X20)
& c7_2(X20,a22)
& c9_2(X20,a22)
& ~ c5_2(X20,a22) )
| ( ndr1_1(X20)
& c8_2(X20,a23)
& ~ c2_2(X20,a23)
& ~ c7_2(X20,a23) ) ) ) )
& ( c10_0
| ! [X22] :
( ndr1_0
=> ( ! [X23] :
( ndr1_1(X22)
=> ( c10_2(X22,X23)
| c6_2(X22,X23)
| c8_2(X22,X23) ) )
| ! [X24] :
( ndr1_1(X22)
=> ( c6_2(X22,X24)
| c7_2(X22,X24)
| ~ c3_2(X22,X24) ) ) ) )
| ! [X25] :
( ndr1_0
=> ( ( ndr1_1(X25)
& c1_2(X25,a24)
& ~ c10_2(X25,a24)
& ~ c4_2(X25,a24) )
| ( ndr1_1(X25)
& c1_2(X25,a25)
& ~ c2_2(X25,a25)
& ~ c6_2(X25,a25) )
| ( ndr1_1(X25)
& c6_2(X25,a26)
& c7_2(X25,a26)
& ~ c1_2(X25,a26) ) ) ) )
& ( c10_0
| ( ndr1_0
& c2_1(a27)
& ~ c10_1(a27)
& ndr1_1(a27)
& ~ c3_2(a27,a28)
& ~ c5_2(a27,a28)
& ~ c9_2(a27,a28) )
| ( ndr1_0
& ~ c2_1(a29)
& ndr1_1(a29)
& c2_2(a29,a30)
& c7_2(a29,a30)
& ~ c8_2(a29,a30) ) )
& ( c2_0
| c6_0
| ( ndr1_0
& c2_1(a31)
& ! [X26] :
( ndr1_1(a31)
=> ( c2_2(a31,X26)
| c4_2(a31,X26)
| c6_2(a31,X26) ) ) ) )
& ( c2_0
| c8_0
| ~ c9_0 )
& ( c2_0
| ~ c1_0
| ~ c8_0 )
& ( c2_0
| ~ c1_0
| ( ndr1_0
& ~ c6_1(a32)
& ~ c9_1(a32)
& ndr1_1(a32)
& c3_2(a32,a33)
& c6_2(a32,a33)
& ~ c4_2(a32,a33) ) )
& ( c2_0
| ! [X27] :
( ndr1_0
=> ( ~ c5_1(X27)
| ! [X28] :
( ndr1_1(X27)
=> ( c10_2(X27,X28)
| c3_2(X27,X28)
| ~ c4_2(X27,X28) ) )
| ( ndr1_1(X27)
& c1_2(X27,a34)
& c4_2(X27,a34)
& ~ c7_2(X27,a34) ) ) )
| ( ndr1_0
& ~ c9_1(a35)
& ! [X29] :
( ndr1_1(a35)
=> ( c10_2(a35,X29)
| ~ c3_2(a35,X29)
| ~ c4_2(a35,X29) ) )
& ndr1_1(a35)
& c2_2(a35,a36)
& ~ c10_2(a35,a36)
& ~ c7_2(a35,a36) ) )
& ( c3_0
| c4_0
| ( ndr1_0
& ~ c3_1(a37)
& ! [X30] :
( ndr1_1(a37)
=> ( c7_2(a37,X30)
| ~ c4_2(a37,X30)
| ~ c5_2(a37,X30) ) )
& ! [X31] :
( ndr1_1(a37)
=> ( ~ c1_2(a37,X31)
| ~ c7_2(a37,X31)
| ~ c8_2(a37,X31) ) ) ) )
& ( c3_0
| c5_0
| ~ c9_0 )
& ( c3_0
| ~ c1_0
| ~ c4_0 )
& ( c3_0
| ~ c1_0
| ! [X32] :
( ndr1_0
=> ( c3_1(X32)
| c4_1(X32)
| ~ c5_1(X32) ) ) )
& ( c3_0
| ~ c10_0
| ( ndr1_0
& ~ c5_1(a38)
& ~ c7_1(a38)
& ! [X33] :
( ndr1_1(a38)
=> ( c2_2(a38,X33)
| c4_2(a38,X33)
| ~ c8_2(a38,X33) ) ) ) )
& ( c3_0
| ~ c2_0
| ( ndr1_0
& c1_1(a39)
& c5_1(a39)
& ! [X34] :
( ndr1_1(a39)
=> ( c3_2(a39,X34)
| ~ c7_2(a39,X34) ) ) ) )
& ( c3_0
| ~ c5_0
| ! [X35] :
( ndr1_0
=> ( ( ndr1_1(X35)
& c3_2(X35,a40)
& c5_2(X35,a40)
& ~ c1_2(X35,a40) )
| ( ndr1_1(X35)
& c6_2(X35,a41)
& ~ c4_2(X35,a41)
& ~ c9_2(X35,a41) )
| ( ndr1_1(X35)
& ~ c2_2(X35,a42)
& ~ c6_2(X35,a42)
& ~ c8_2(X35,a42) ) ) ) )
& ( c3_0
| ~ c6_0
| ( ndr1_0
& ! [X36] :
( ndr1_1(a43)
=> ( c1_2(a43,X36)
| ~ c3_2(a43,X36) ) )
& ! [X37] :
( ndr1_1(a43)
=> ( c3_2(a43,X37)
| c6_2(a43,X37)
| ~ c2_2(a43,X37) ) )
& ndr1_1(a43)
& c4_2(a43,a44)
& c5_2(a43,a44)
& c8_2(a43,a44) ) )
& ( c3_0
| ~ c7_0
| ( ndr1_0
& c7_1(a45)
& ~ c4_1(a45)
& ndr1_1(a45)
& c5_2(a45,a46)
& ~ c10_2(a45,a46)
& ~ c4_2(a45,a46) ) )
& ( c3_0
| ! [X38] :
( ndr1_0
=> ( c5_1(X38)
| ! [X39] :
( ndr1_1(X38)
=> ( c3_2(X38,X39)
| c8_2(X38,X39)
| ~ c10_2(X38,X39) ) )
| ! [X40] :
( ndr1_1(X38)
=> ( c3_2(X38,X40)
| c9_2(X38,X40)
| ~ c6_2(X38,X40) ) ) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c2_1(X41)
| ~ c8_1(X41)
| ( ndr1_1(X41)
& ~ c1_2(X41,a47) ) ) ) )
& ( c3_0
| ! [X42] :
( ndr1_0
=> ( c9_1(X42)
| ~ c7_1(X42)
| ( ndr1_1(X42)
& c10_2(X42,a48)
& c8_2(X42,a48)
& ~ c5_2(X42,a48) ) ) )
| ( ndr1_0
& ! [X43] :
( ndr1_1(a49)
=> ( c10_2(a49,X43)
| c4_2(a49,X43)
| ~ c6_2(a49,X43) ) )
& ! [X44] :
( ndr1_1(a49)
=> ( c3_2(a49,X44)
| ~ c4_2(a49,X44) ) )
& ndr1_1(a49)
& c2_2(a49,a50)
& c3_2(a49,a50)
& ~ c10_2(a49,a50) ) )
& ( c4_0
| c7_0
| ! [X45] :
( ndr1_0
=> ( c2_1(X45)
| c6_1(X45)
| ~ c7_1(X45) ) ) )
& ( c4_0
| c8_0
| ( ndr1_0
& c6_1(a51)
& ! [X46] :
( ndr1_1(a51)
=> ( c10_2(a51,X46)
| ~ c8_2(a51,X46) ) )
& ! [X47] :
( ndr1_1(a51)
=> ( ~ c2_2(a51,X47)
| ~ c5_2(a51,X47)
| ~ c8_2(a51,X47) ) ) ) )
& ( c4_0
| ~ c8_0
| ! [X48] :
( ndr1_0
=> ( c7_1(X48)
| ! [X49] :
( ndr1_1(X48)
=> ( c7_2(X48,X49)
| ~ c1_2(X48,X49)
| ~ c4_2(X48,X49) ) )
| ( ndr1_1(X48)
& c2_2(X48,a52)
& ~ c6_2(X48,a52) ) ) ) )
& ( c4_0
| ! [X50] :
( ndr1_0
=> ( c9_1(X50)
| ( ndr1_1(X50)
& c1_2(X50,a53)
& c3_2(X50,a53)
& ~ c6_2(X50,a53) )
| ( ndr1_1(X50)
& c8_2(X50,a54)
& ~ c10_2(X50,a54)
& ~ c6_2(X50,a54) ) ) )
| ! [X51] :
( ndr1_0
=> ( ~ c4_1(X51)
| ! [X52] :
( ndr1_1(X51)
=> ( c2_2(X51,X52)
| c8_2(X51,X52)
| ~ c6_2(X51,X52) ) )
| ( ndr1_1(X51)
& ~ c7_2(X51,a55)
& ~ c8_2(X51,a55) ) ) ) )
& ( c5_0
| c7_0
| ( ndr1_0
& c4_1(a56)
& ~ c10_1(a56)
& ! [X53] :
( ndr1_1(a56)
=> ( ~ c3_2(a56,X53)
| ~ c6_2(a56,X53)
| ~ c9_2(a56,X53) ) ) ) )
& ( c5_0
| c8_0
| c9_0 )
& ( c5_0
| ~ c10_0 )
& ( c5_0
| ~ c4_0
| ! [X54] :
( ndr1_0
=> ( c4_1(X54)
| ( ndr1_1(X54)
& c4_2(X54,a57)
& ~ c5_2(X54,a57)
& ~ c9_2(X54,a57) )
| ( ndr1_1(X54)
& ~ c2_2(X54,a58)
& ~ c3_2(X54,a58)
& ~ c9_2(X54,a58) ) ) ) )
& ( c5_0
| ~ c8_0
| ( ndr1_0
& ~ c4_1(a59)
& ! [X55] :
( ndr1_1(a59)
=> ( c3_2(a59,X55)
| c9_2(a59,X55)
| ~ c10_2(a59,X55) ) )
& ndr1_1(a59)
& c1_2(a59,a60)
& ~ c3_2(a59,a60)
& ~ c5_2(a59,a60) ) )
& ( c5_0
| ~ c9_0
| ( ndr1_0
& ~ c6_1(a61)
& ndr1_1(a61)
& c3_2(a61,a62)
& ~ c1_2(a61,a62)
& ndr1_1(a61)
& ~ c10_2(a61,a63)
& ~ c5_2(a61,a63) ) )
& ( c5_0
| ! [X56] :
( ndr1_0
=> ( c10_1(X56)
| c6_1(X56)
| ~ c1_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c6_1(X57)
| ( ndr1_1(X57)
& c10_2(X57,a64)
& ~ c1_2(X57,a64)
& ~ c9_2(X57,a64) )
| ( ndr1_1(X57)
& c2_2(X57,a65)
& c4_2(X57,a65)
& ~ c7_2(X57,a65) ) ) ) )
& ( c5_0
| ! [X58] :
( ndr1_0
=> ( c2_1(X58)
| c6_1(X58)
| ( ndr1_1(X58)
& ~ c1_2(X58,a66)
& ~ c5_2(X58,a66)
& ~ c7_2(X58,a66) ) ) )
| ( ndr1_0
& c5_1(a67)
& ! [X59] :
( ndr1_1(a67)
=> ( ~ c10_2(a67,X59)
| ~ c9_2(a67,X59) ) ) ) )
& ( c5_0
| ! [X60] :
( ndr1_0
=> ( c5_1(X60)
| ~ c10_1(X60)
| ( ndr1_1(X60)
& c10_2(X60,a68)
& c3_2(X60,a68)
& c7_2(X60,a68) ) ) )
| ( ndr1_0
& c9_1(a69)
& ~ c4_1(a69)
& ! [X61] :
( ndr1_1(a69)
=> ( c2_2(a69,X61)
| c5_2(a69,X61)
| ~ c6_2(a69,X61) ) ) ) )
& ( c5_0
| ! [X62] :
( ndr1_0
=> ( ~ c9_1(X62)
| ! [X63] :
( ndr1_1(X62)
=> ( c10_2(X62,X63)
| c4_2(X62,X63)
| c9_2(X62,X63) ) )
| ( ndr1_1(X62)
& c8_2(X62,a70)
& ~ c10_2(X62,a70)
& ~ c6_2(X62,a70) ) ) )
| ( ndr1_0
& ! [X64] :
( ndr1_1(a71)
=> ( c1_2(a71,X64)
| ~ c4_2(a71,X64)
| ~ c8_2(a71,X64) ) )
& ! [X65] :
( ndr1_1(a71)
=> ( c2_2(a71,X65)
| c7_2(a71,X65)
| ~ c10_2(a71,X65) ) )
& ! [X66] :
( ndr1_1(a71)
=> ( c5_2(a71,X66)
| ~ c4_2(a71,X66)
| ~ c6_2(a71,X66) ) ) ) )
& ( c5_0
| ( ndr1_0
& c1_1(a72)
& ~ c3_1(a72)
& ! [X67] :
( ndr1_1(a72)
=> ( c10_2(a72,X67)
| c5_2(a72,X67)
| ~ c3_2(a72,X67) ) ) )
| ( ndr1_0
& c4_1(a73)
& ~ c6_1(a73)
& ! [X68] :
( ndr1_1(a73)
=> ( c8_2(a73,X68)
| ~ c10_2(a73,X68) ) ) ) )
& ( c6_0
| c7_0
| ( ndr1_0
& c4_1(a74)
& c6_1(a74)
& ndr1_1(a74)
& c10_2(a74,a75)
& ~ c1_2(a74,a75)
& ~ c2_2(a74,a75) ) )
& ( c6_0
| c9_0
| ! [X69] :
( ndr1_0
=> ( c4_1(X69)
| c5_1(X69)
| ( ndr1_1(X69)
& c1_2(X69,a76)
& c4_2(X69,a76)
& ~ c5_2(X69,a76) ) ) ) )
& ( c6_0
| ~ c3_0
| ! [X70] :
( ndr1_0
=> ( c8_1(X70)
| ~ c2_1(X70)
| ! [X71] :
( ndr1_1(X70)
=> ( c9_2(X70,X71)
| ~ c10_2(X70,X71)
| ~ c3_2(X70,X71) ) ) ) ) )
& ( c6_0
| ~ c3_0
| ! [X72] :
( ndr1_0
=> ( ~ c6_1(X72)
| ! [X73] :
( ndr1_1(X72)
=> ( c7_2(X72,X73)
| ~ c2_2(X72,X73)
| ~ c5_2(X72,X73) ) )
| ( ndr1_1(X72)
& c1_2(X72,a77)
& c3_2(X72,a77)
& ~ c9_2(X72,a77) ) ) ) )
& ( c6_0
| ! [X74] :
( ndr1_0
=> ( ~ c6_1(X74)
| ! [X75] :
( ndr1_1(X74)
=> ( c2_2(X74,X75)
| ~ c9_2(X74,X75) ) )
| ( ndr1_1(X74)
& ~ c3_2(X74,a78)
& ~ c7_2(X74,a78)
& ~ c9_2(X74,a78) ) ) )
| ( ndr1_0
& ~ c3_1(a79)
& ! [X76] :
( ndr1_1(a79)
=> ( c1_2(a79,X76)
| c6_2(a79,X76)
| ~ c10_2(a79,X76) ) )
& ! [X77] :
( ndr1_1(a79)
=> ( c4_2(a79,X77)
| c7_2(a79,X77)
| c8_2(a79,X77) ) ) ) )
& ( c6_0
| ! [X78] :
( ndr1_0
=> ( ! [X79] :
( ndr1_1(X78)
=> ( c1_2(X78,X79)
| c5_2(X78,X79)
| c6_2(X78,X79) ) )
| ! [X80] :
( ndr1_1(X78)
=> ( c10_2(X78,X80)
| c5_2(X78,X80)
| ~ c9_2(X78,X80) ) )
| ! [X81] :
( ndr1_1(X78)
=> ( c4_2(X78,X81)
| c6_2(X78,X81) ) ) ) )
| ( ndr1_0
& c3_1(a80)
& c7_1(a80)
& ~ c5_1(a80) ) )
& ( c7_0
| c9_0
| ! [X82] :
( ndr1_0
=> ( c8_1(X82)
| ! [X83] :
( ndr1_1(X82)
=> ( c5_2(X82,X83)
| ~ c10_2(X82,X83)
| ~ c8_2(X82,X83) ) )
| ! [X84] :
( ndr1_1(X82)
=> ( c7_2(X82,X84)
| c9_2(X82,X84)
| ~ c8_2(X82,X84) ) ) ) ) )
& ( c7_0
| ~ c1_0
| ! [X85] :
( ndr1_0
=> ( c10_1(X85)
| ~ c5_1(X85)
| ( ndr1_1(X85)
& c6_2(X85,a81)
& c8_2(X85,a81)
& ~ c5_2(X85,a81) ) ) ) )
& ( c7_0
| ~ c6_0
| ! [X86] :
( ndr1_0
=> ( c1_1(X86)
| ~ c7_1(X86)
| ( ndr1_1(X86)
& ~ c10_2(X86,a82)
& ~ c2_2(X86,a82)
& ~ c6_2(X86,a82) ) ) ) )
& ( c7_0
| ~ c9_0
| ( ndr1_0
& c5_1(a83)
& ~ c2_1(a83)
& ndr1_1(a83)
& ~ c1_2(a83,a84)
& ~ c2_2(a83,a84) ) )
& ( c7_0
| ! [X87] :
( ndr1_0
=> ( ~ c7_1(X87)
| ~ c8_1(X87)
| ! [X88] :
( ndr1_1(X87)
=> ( c1_2(X87,X88)
| c7_2(X87,X88)
| c9_2(X87,X88) ) ) ) )
| ! [X89] :
( ndr1_0
=> ( ! [X90] :
( ndr1_1(X89)
=> ( c10_2(X89,X90)
| c4_2(X89,X90)
| c7_2(X89,X90) ) )
| ! [X91] :
( ndr1_1(X89)
=> ( c4_2(X89,X91)
| ~ c3_2(X89,X91)
| ~ c5_2(X89,X91) ) )
| ( ndr1_1(X89)
& ~ c6_2(X89,a85) ) ) ) )
& ( c8_0
| ~ c10_0
| ( ndr1_0
& c7_1(a86)
& ~ c1_1(a86)
& ~ c5_1(a86) ) )
& ( c8_0
| ! [X92] :
( ndr1_0
=> ( c1_1(X92)
| ~ c9_1(X92)
| ( ndr1_1(X92)
& ~ c2_2(X92,a87)
& ~ c3_2(X92,a87)
& ~ c7_2(X92,a87) ) ) ) )
& ( c9_0
| ~ c10_0 )
& ( c9_0
| ~ c3_0
| ! [X93] :
( ndr1_0
=> ( ! [X94] :
( ndr1_1(X93)
=> ( c9_2(X93,X94)
| ~ c3_2(X93,X94)
| ~ c5_2(X93,X94) ) )
| ( ndr1_1(X93)
& c1_2(X93,a88)
& c2_2(X93,a88)
& ~ c4_2(X93,a88) ) ) ) )
& ( c9_0
| ~ c4_0
| ! [X95] :
( ndr1_0
=> ( c7_1(X95)
| c9_1(X95)
| ( ndr1_1(X95)
& c1_2(X95,a89)
& ~ c3_2(X95,a89)
& ~ c4_2(X95,a89) ) ) ) )
& ( c9_0
| ~ c5_0
| ( ndr1_0
& ndr1_1(a90)
& ~ c3_2(a90,a91)
& ~ c9_2(a90,a91) ) )
& ( c9_0
| ! [X96] :
( ndr1_0
=> ( c6_1(X96)
| ~ c10_1(X96)
| ! [X97] :
( ndr1_1(X96)
=> ( c3_2(X96,X97)
| c9_2(X96,X97)
| ~ c8_2(X96,X97) ) ) ) )
| ( ndr1_0
& ~ c6_1(a92)
& ! [X98] :
( ndr1_1(a92)
=> ( c10_2(a92,X98)
| c3_2(a92,X98)
| ~ c6_2(a92,X98) ) ) ) )
& ( ~ c1_0
| ~ c4_0 )
& ( ~ c1_0
| ~ c9_0
| ! [X99] :
( ndr1_0
=> ( c5_1(X99)
| ( ndr1_1(X99)
& c1_2(X99,a93)
& c6_2(X99,a93) )
| ( ndr1_1(X99)
& ~ c3_2(X99,a94)
& ~ c6_2(X99,a94) ) ) ) )
& ( ~ c1_0
| ! [X100] :
( ndr1_0
=> ( c2_1(X100)
| c5_1(X100)
| c7_1(X100) ) ) )
& ( ~ c1_0
| ! [X101] :
( ndr1_0
=> ( c2_1(X101)
| ~ c10_1(X101)
| ~ c9_1(X101) ) )
| ( ndr1_0
& c9_1(a95)
& ndr1_1(a95)
& c1_2(a95,a96)
& c2_2(a95,a96)
& ~ c5_2(a95,a96) ) )
& ( ~ c1_0
| ! [X102] :
( ndr1_0
=> ( c4_1(X102)
| ~ c7_1(X102)
| ~ c8_1(X102) ) )
| ( ndr1_0
& c9_1(a97)
& ! [X103] :
( ndr1_1(a97)
=> ( c10_2(a97,X103)
| c2_2(a97,X103)
| c9_2(a97,X103) ) ) ) )
& ( ~ c1_0
| ! [X104] :
( ndr1_0
=> ( c4_1(X104)
| ! [X105] :
( ndr1_1(X104)
=> ( c3_2(X104,X105)
| c5_2(X104,X105)
| ~ c7_2(X104,X105) ) )
| ! [X106] :
( ndr1_1(X104)
=> ( c8_2(X104,X106)
| ~ c3_2(X104,X106) ) ) ) )
| ! [X107] :
( ndr1_0
=> ( ~ c1_1(X107)
| ~ c7_1(X107)
| ! [X108] :
( ndr1_1(X107)
=> ( c1_2(X107,X108)
| c5_2(X107,X108)
| ~ c2_2(X107,X108) ) ) ) ) )
& ( ~ c1_0
| ! [X109] :
( ndr1_0
=> ( ~ c2_1(X109)
| ! [X110] :
( ndr1_1(X109)
=> ( c2_2(X109,X110)
| ~ c7_2(X109,X110)
| ~ c9_2(X109,X110) ) ) ) )
| ( ndr1_0
& ~ c8_1(a98)
& ! [X111] :
( ndr1_1(a98)
=> ( c5_2(a98,X111)
| ~ c7_2(a98,X111) ) )
& ndr1_1(a98)
& c7_2(a98,a99)
& c8_2(a98,a99)
& ~ c1_2(a98,a99) ) )
& ( ~ c1_0
| ! [X112] :
( ndr1_0
=> ( ~ c5_1(X112)
| ( ndr1_1(X112)
& c3_2(X112,a100)
& ~ c1_2(X112,a100)
& ~ c8_2(X112,a100) ) ) )
| ( ndr1_0
& ! [X113] :
( ndr1_1(a101)
=> ( c2_2(a101,X113)
| ~ c5_2(a101,X113) ) )
& ndr1_1(a101)
& c7_2(a101,a102)
& ~ c3_2(a101,a102)
& ndr1_1(a101)
& ~ c3_2(a101,a103)
& ~ c4_2(a101,a103)
& ~ c9_2(a101,a103) ) )
& ( ~ c1_0
| ( ndr1_0
& c1_1(a104)
& ndr1_1(a104)
& c1_2(a104,a105)
& c8_2(a104,a105)
& ~ c2_2(a104,a105)
& ndr1_1(a104)
& c4_2(a104,a106)
& ~ c2_2(a104,a106)
& ~ c5_2(a104,a106) ) )
& ( ~ c10_0
| ~ c2_0
| ( ndr1_0
& c1_1(a107)
& ! [X114] :
( ndr1_1(a107)
=> ( c10_2(a107,X114)
| c3_2(a107,X114)
| ~ c7_2(a107,X114) ) )
& ndr1_1(a107)
& c5_2(a107,a108)
& c8_2(a107,a108)
& ~ c6_2(a107,a108) ) )
& ( ~ c10_0
| ~ c3_0
| ! [X115] :
( ndr1_0
=> ( c7_1(X115)
| ( ndr1_1(X115)
& c5_2(X115,a109)
& ~ c10_2(X115,a109)
& ~ c3_2(X115,a109) )
| ( ndr1_1(X115)
& c9_2(X115,a110)
& ~ c1_2(X115,a110)
& ~ c7_2(X115,a110) ) ) ) )
& ( ~ c10_0
| ~ c6_0
| ! [X116] :
( ndr1_0
=> ( ~ c3_1(X116)
| ~ c4_1(X116)
| ! [X117] :
( ndr1_1(X116)
=> ( c1_2(X116,X117)
| c7_2(X116,X117)
| ~ c9_2(X116,X117) ) ) ) ) )
& ( ~ c10_0
| ~ c7_0
| ( ndr1_0
& ! [X118] :
( ndr1_1(a111)
=> ( c6_2(a111,X118)
| c9_2(a111,X118)
| ~ c7_2(a111,X118) ) )
& ndr1_1(a111)
& c6_2(a111,a112)
& c8_2(a111,a112)
& ~ c4_2(a111,a112)
& ndr1_1(a111)
& c7_2(a111,a113)
& ~ c10_2(a111,a113) ) )
& ( ~ c10_0
| ~ c8_0
| ~ c9_0 )
& ( ~ c10_0
| ! [X119] :
( ndr1_0
=> ( c1_1(X119)
| c9_1(X119)
| ~ c10_1(X119) ) )
| ( ndr1_0
& ~ c5_1(a114)
& ! [X120] :
( ndr1_1(a114)
=> ( c1_2(a114,X120)
| c3_2(a114,X120)
| c5_2(a114,X120) ) )
& ndr1_1(a114)
& c3_2(a114,a115)
& ~ c2_2(a114,a115)
& ~ c9_2(a114,a115) ) )
& ( ~ c10_0
| ! [X121] :
( ndr1_0
=> ( c9_1(X121)
| ~ c1_1(X121)
| ( ndr1_1(X121)
& c7_2(X121,a116)
& ~ c3_2(X121,a116)
& ~ c4_2(X121,a116) ) ) )
| ( ndr1_0
& c9_1(a117)
& ~ c5_1(a117)
& ndr1_1(a117)
& c10_2(a117,a118)
& c5_2(a117,a118)
& ~ c3_2(a117,a118) ) )
& ( ~ c10_0
| ( ndr1_0
& c5_1(a119)
& c9_1(a119)
& ndr1_1(a119)
& c1_2(a119,a120)
& ~ c10_2(a119,a120)
& ~ c4_2(a119,a120) )
| ( ndr1_0
& ~ c4_1(a121)
& ! [X122] :
( ndr1_1(a121)
=> ( c1_2(a121,X122)
| ~ c10_2(a121,X122)
| ~ c7_2(a121,X122) ) )
& ndr1_1(a121)
& c2_2(a121,a122)
& ~ c8_2(a121,a122)
& ~ c9_2(a121,a122) ) )
& ( ~ c2_0
| ~ c6_0 )
& ( ~ c2_0
| ~ c9_0
| ! [X123] :
( ndr1_0
=> ( ~ c5_1(X123)
| ~ c9_1(X123)
| ! [X124] :
( ndr1_1(X123)
=> ( c2_2(X123,X124)
| ~ c10_2(X123,X124)
| ~ c7_2(X123,X124) ) ) ) ) )
& ( ~ c3_0
| ~ c4_0
| ~ c5_0 )
& ( ~ c3_0
| ~ c6_0
| ~ c8_0 )
& ( ~ c3_0
| ! [X125] :
( ndr1_0
=> ( c4_1(X125)
| c9_1(X125)
| ! [X126] :
( ndr1_1(X125)
=> ( ~ c1_2(X125,X126)
| ~ c10_2(X125,X126)
| ~ c5_2(X125,X126) ) ) ) ) )
& ( ~ c3_0
| ! [X127] :
( ndr1_0
=> ( c8_1(X127)
| ! [X128] :
( ndr1_1(X127)
=> ( c7_2(X127,X128)
| c8_2(X127,X128)
| ~ c5_2(X127,X128) ) )
| ! [X129] :
( ndr1_1(X127)
=> ( ~ c2_2(X127,X129)
| ~ c6_2(X127,X129)
| ~ c9_2(X127,X129) ) ) ) )
| ! [X130] :
( ndr1_0
=> ( c9_1(X130)
| ( ndr1_1(X130)
& c1_2(X130,a123)
& c7_2(X130,a123)
& ~ c4_2(X130,a123) )
| ( ndr1_1(X130)
& c3_2(X130,a124)
& ~ c4_2(X130,a124)
& ~ c6_2(X130,a124) ) ) ) )
& ( ~ c3_0
| ! [X131] :
( ndr1_0
=> ( c9_1(X131)
| ( ndr1_1(X131)
& c1_2(X131,a125)
& c4_2(X131,a125)
& ~ c8_2(X131,a125) )
| ( ndr1_1(X131)
& c4_2(X131,a126)
& ~ c10_2(X131,a126) ) ) )
| ( ndr1_0
& ~ c6_1(a127)
& ~ c9_1(a127)
& ndr1_1(a127)
& c1_2(a127,a128)
& c10_2(a127,a128)
& c7_2(a127,a128) ) )
& ( ~ c3_0
| ! [X132] :
( ndr1_0
=> ( ~ c10_1(X132)
| ~ c3_1(X132) ) )
| ! [X133] :
( ndr1_0
=> ( ~ c7_1(X133)
| ! [X134] :
( ndr1_1(X133)
=> ( c1_2(X133,X134)
| ~ c8_2(X133,X134)
| ~ c9_2(X133,X134) ) )
| ! [X135] :
( ndr1_1(X133)
=> ( c3_2(X133,X135)
| c6_2(X133,X135)
| ~ c2_2(X133,X135) ) ) ) ) )
& ( ~ c4_0
| ( ndr1_0
& c2_1(a129)
& ~ c6_1(a129)
& ! [X136] :
( ndr1_1(a129)
=> ( c6_2(a129,X136)
| ~ c8_2(a129,X136)
| ~ c9_2(a129,X136) ) ) )
| ( ndr1_0
& ~ c1_1(a130)
& ~ c3_1(a130)
& ndr1_1(a130)
& ~ c3_2(a130,a131)
& ~ c6_2(a130,a131) ) )
& ( ~ c4_0
| ( ndr1_0
& c4_1(a132)
& c6_1(a132)
& ndr1_1(a132)
& c2_2(a132,a133)
& c8_2(a132,a133)
& ~ c4_2(a132,a133) ) )
& ( ~ c4_0
| ( ndr1_0
& c7_1(a134)
& ndr1_1(a134)
& c1_2(a134,a135)
& ~ c10_2(a134,a135)
& ~ c6_2(a134,a135)
& ndr1_1(a134)
& c2_2(a134,a136)
& c8_2(a134,a136)
& ~ c10_2(a134,a136) )
| ( ndr1_0
& ~ c5_1(a137)
& ~ c8_1(a137)
& ndr1_1(a137)
& c10_2(a137,a138)
& c5_2(a137,a138)
& ~ c6_2(a137,a138) ) )
& ( ~ c5_0
| ~ c6_0
| ( ndr1_0
& c6_1(a139)
& ~ c2_1(a139)
& ndr1_1(a139)
& c6_2(a139,a140)
& ~ c1_2(a139,a140) ) )
& ( ~ c5_0
| ~ c9_0
| ( ndr1_0
& ~ c9_1(a141)
& ! [X137] :
( ndr1_1(a141)
=> ( c10_2(a141,X137)
| c6_2(a141,X137)
| ~ c8_2(a141,X137) ) )
& ndr1_1(a141)
& ~ c10_2(a141,a142)
& ~ c3_2(a141,a142)
& ~ c7_2(a141,a142) ) )
& ( ~ c5_0
| ! [X138] :
( ndr1_0
=> ( ~ c8_1(X138)
| ! [X139] :
( ndr1_1(X138)
=> ( c6_2(X138,X139)
| c7_2(X138,X139) ) )
| ( ndr1_1(X138)
& c10_2(X138,a143)
& c5_2(X138,a143) ) ) )
| ! [X140] :
( ndr1_0
=> ( ! [X141] :
( ndr1_1(X140)
=> ( c3_2(X140,X141)
| ~ c1_2(X140,X141) ) )
| ! [X142] :
( ndr1_1(X140)
=> ( c7_2(X140,X142)
| ~ c2_2(X140,X142)
| ~ c3_2(X140,X142) ) )
| ( ndr1_1(X140)
& c10_2(X140,a144)
& c6_2(X140,a144)
& ~ c8_2(X140,a144) ) ) ) )
& ( ~ c5_0
| ( ndr1_0
& c1_1(a145)
& ~ c8_1(a145)
& ! [X143] :
( ndr1_1(a145)
=> ( c2_2(a145,X143)
| c9_2(a145,X143)
| ~ c10_2(a145,X143) ) ) )
| ( ndr1_0
& ~ c4_1(a146)
& ndr1_1(a146)
& c10_2(a146,a147)
& c3_2(a146,a147)
& ~ c5_2(a146,a147) ) )
& ( ~ c6_0
| ! [X144] :
( ndr1_0
=> ( c1_1(X144)
| c4_1(X144)
| ~ c5_1(X144) ) )
| ( ndr1_0
& ~ c1_1(a148)
& ndr1_1(a148)
& c7_2(a148,a149)
& c9_2(a148,a149)
& ~ c3_2(a148,a149) ) )
& ( ~ c6_0
| ! [X145] :
( ndr1_0
=> ( c2_1(X145)
| ~ c9_1(X145)
| ( ndr1_1(X145)
& ~ c10_2(X145,a150)
& ~ c7_2(X145,a150)
& ~ c8_2(X145,a150) ) ) )
| ! [X146] :
( ndr1_0
=> ( ! [X147] :
( ndr1_1(X146)
=> ( c10_2(X146,X147)
| c5_2(X146,X147)
| ~ c6_2(X146,X147) ) )
| ! [X148] :
( ndr1_1(X146)
=> ( c5_2(X146,X148)
| c6_2(X146,X148)
| ~ c3_2(X146,X148) ) )
| ! [X149] :
( ndr1_1(X146)
=> ( ~ c1_2(X146,X149)
| ~ c10_2(X146,X149)
| ~ c9_2(X146,X149) ) ) ) ) )
& ( ~ c7_0
| ~ c8_0
| ! [X150] :
( ndr1_0
=> ( c2_1(X150)
| c3_1(X150)
| ~ c9_1(X150) ) ) )
& ( ~ c7_0
| ~ c8_0
| ! [X151] :
( ndr1_0
=> ( ~ c2_1(X151)
| ( ndr1_1(X151)
& c4_2(X151,a151)
& ~ c6_2(X151,a151)
& ~ c9_2(X151,a151) ) ) ) )
& ( ~ c7_0
| ~ c8_0
| ( ndr1_0
& ndr1_1(a152)
& c10_2(a152,a153)
& c6_2(a152,a153)
& c7_2(a152,a153)
& ndr1_1(a152)
& c3_2(a152,a154)
& c8_2(a152,a154)
& ~ c1_2(a152,a154) ) )
& ( ~ c7_0
| ! [X152] :
( ndr1_0
=> ( ~ c6_1(X152)
| ~ c8_1(X152)
| ( ndr1_1(X152)
& ~ c1_2(X152,a155)
& ~ c7_2(X152,a155)
& ~ c9_2(X152,a155) ) ) )
| ! [X153] :
( ndr1_0
=> ( ~ c6_1(X153)
| ( ndr1_1(X153)
& c10_2(X153,a156)
& c3_2(X153,a156)
& ~ c2_2(X153,a156) )
| ( ndr1_1(X153)
& c6_2(X153,a157)
& c8_2(X153,a157)
& ~ c1_2(X153,a157) ) ) ) )
& ( ~ c7_0
| ( ndr1_0
& c1_1(a158)
& ~ c6_1(a158)
& ndr1_1(a158)
& c1_2(a158,a159)
& c10_2(a158,a159)
& ~ c9_2(a158,a159) )
| ( ndr1_0
& ~ c10_1(a160)
& ! [X154] :
( ndr1_1(a160)
=> ( c1_2(a160,X154)
| c2_2(a160,X154)
| c9_2(a160,X154) ) )
& ! [X155] :
( ndr1_1(a160)
=> ( c2_2(a160,X155)
| c6_2(a160,X155)
| ~ c4_2(a160,X155) ) ) ) )
& ( ~ c8_0
| ~ c9_0
| ! [X156] :
( ndr1_0
=> ( c10_1(X156)
| ( ndr1_1(X156)
& c4_2(X156,a161)
& c5_2(X156,a161)
& c6_2(X156,a161) ) ) ) )
& ( ~ c8_0
| ~ c9_0
| ( ndr1_0
& ~ c10_1(a162)
& ~ c9_1(a162)
& ndr1_1(a162)
& c2_2(a162,a163)
& c5_2(a162,a163)
& c9_2(a162,a163) ) )
& ( ~ c8_0
| ! [X157] :
( ndr1_0
=> ( c3_1(X157)
| ! [X158] :
( ndr1_1(X157)
=> ( c6_2(X157,X158)
| ~ c4_2(X157,X158)
| ~ c9_2(X157,X158) ) ) ) )
| ( ndr1_0
& ~ c3_1(a164)
& ! [X159] :
( ndr1_1(a164)
=> ( c5_2(a164,X159)
| c7_2(a164,X159)
| c9_2(a164,X159) ) )
& ! [X160] :
( ndr1_1(a164)
=> ( c8_2(a164,X160)
| ~ c6_2(a164,X160) ) ) ) )
& ( ~ c8_0
| ! [X161] :
( ndr1_0
=> ( c6_1(X161)
| ! [X162] :
( ndr1_1(X161)
=> ( c6_2(X161,X162)
| ~ c2_2(X161,X162)
| ~ c4_2(X161,X162) ) )
| ! [X163] :
( ndr1_1(X161)
=> ( c9_2(X161,X163)
| ~ c2_2(X161,X163)
| ~ c3_2(X161,X163) ) ) ) )
| ( ndr1_0
& c4_1(a165)
& ndr1_1(a165)
& c10_2(a165,a166)
& c5_2(a165,a166)
& c9_2(a165,a166) ) )
& ( ~ c8_0
| ! [X164] :
( ndr1_0
=> ( ~ c1_1(X164)
| ( ndr1_1(X164)
& c1_2(X164,a167)
& c10_2(X164,a167)
& c8_2(X164,a167) )
| ( ndr1_1(X164)
& c1_2(X164,a168)
& c5_2(X164,a168)
& ~ c6_2(X164,a168) ) ) )
| ( ndr1_0
& ! [X165] :
( ndr1_1(a169)
=> ( c1_2(a169,X165)
| c3_2(a169,X165)
| c8_2(a169,X165) ) )
& ! [X166] :
( ndr1_1(a169)
=> ( c2_2(a169,X166)
| ~ c1_2(a169,X166)
| ~ c9_2(a169,X166) ) )
& ndr1_1(a169)
& c5_2(a169,a170)
& c6_2(a169,a170)
& ~ c9_2(a169,a170) ) )
& ( ~ c8_0
| ! [X167] :
( ndr1_0
=> ( ~ c2_1(X167)
| ~ c7_1(X167)
| ! [X168] :
( ndr1_1(X167)
=> ( c10_2(X167,X168)
| c4_2(X167,X168)
| ~ c6_2(X167,X168) ) ) ) )
| ( ndr1_0
& ~ c1_1(a171)
& ~ c4_1(a171)
& ~ c8_1(a171) ) )
& ( ~ c8_0
| ( ndr1_0
& c5_1(a172)
& ~ c7_1(a172)
& ndr1_1(a172)
& ~ c10_2(a172,a173)
& ~ c6_2(a172,a173) )
| ( ndr1_0
& ~ c3_1(a174)
& ~ c5_1(a174) ) )
& ( ~ c9_0
| ! [X169] :
( ndr1_0
=> ( c3_1(X169)
| c9_1(X169)
| ( ndr1_1(X169)
& c4_2(X169,a175)
& c7_2(X169,a175)
& c9_2(X169,a175) ) ) )
| ! [X170] :
( ndr1_0
=> ( ! [X171] :
( ndr1_1(X170)
=> ( c1_2(X170,X171)
| ~ c2_2(X170,X171)
| ~ c8_2(X170,X171) ) )
| ( ndr1_1(X170)
& c6_2(X170,a176)
& ~ c7_2(X170,a176)
& ~ c8_2(X170,a176) )
| ( ndr1_1(X170)
& c8_2(X170,a177)
& ~ c2_2(X170,a177)
& ~ c3_2(X170,a177) ) ) ) )
& ( ~ c9_0
| ! [X172] :
( ndr1_0
=> ( c7_1(X172)
| ! [X173] :
( ndr1_1(X172)
=> ( c10_2(X172,X173)
| c9_2(X172,X173)
| ~ c2_2(X172,X173) ) )
| ( ndr1_1(X172)
& c5_2(X172,a178)
& c8_2(X172,a178) ) ) )
| ! [X174] :
( ndr1_0
=> ( ~ c2_1(X174)
| ( ndr1_1(X174)
& c10_2(X174,a179)
& ~ c1_2(X174,a179)
& ~ c3_2(X174,a179) ) ) ) )
& ( ~ c9_0
| ! [X175] :
( ndr1_0
=> ( ! [X176] :
( ndr1_1(X175)
=> ( c4_2(X175,X176)
| ~ c3_2(X175,X176)
| ~ c7_2(X175,X176) ) )
| ! [X177] :
( ndr1_1(X175)
=> ( c5_2(X175,X177)
| ~ c1_2(X175,X177)
| ~ c7_2(X175,X177) ) )
| ! [X178] :
( ndr1_1(X175)
=> ( ~ c10_2(X175,X178)
| ~ c5_2(X175,X178)
| ~ c6_2(X175,X178) ) ) ) )
| ( ndr1_0
& c5_1(a180)
& ! [X179] :
( ndr1_1(a180)
=> ( c1_2(a180,X179)
| c2_2(a180,X179)
| c6_2(a180,X179) ) )
& ndr1_1(a180)
& c10_2(a180,a181)
& c7_2(a180,a181)
& c9_2(a180,a181) ) )
& ( ~ c9_0
| ( ndr1_0
& c10_1(a182)
& c8_1(a182) )
| ( ndr1_0
& ~ c6_1(a183)
& ! [X180] :
( ndr1_1(a183)
=> ( c1_2(a183,X180)
| ~ c4_2(a183,X180) ) )
& ndr1_1(a183)
& c1_2(a183,a184)
& ~ c6_2(a183,a184)
& ~ c8_2(a183,a184) ) )
& ( ! [X181] :
( ndr1_0
=> ( c10_1(X181)
| c2_1(X181) ) )
| ! [X182] :
( ndr1_0
=> ( ! [X183] :
( ndr1_1(X182)
=> ( c1_2(X182,X183)
| ~ c10_2(X182,X183) ) )
| ! [X184] :
( ndr1_1(X182)
=> ( c4_2(X182,X184)
| c5_2(X182,X184)
| c7_2(X182,X184) ) )
| ( ndr1_1(X182)
& ~ c3_2(X182,a185)
& ~ c5_2(X182,a185)
& ~ c6_2(X182,a185) ) ) )
| ( ndr1_0
& c3_1(a186)
& ~ c2_1(a186)
& ~ c9_1(a186) ) )
& ( ! [X185] :
( ndr1_0
=> ( c3_1(X185)
| c5_1(X185)
| ! [X186] :
( ndr1_1(X185)
=> ( c5_2(X185,X186)
| ~ c6_2(X185,X186)
| ~ c9_2(X185,X186) ) ) ) )
| ( ndr1_0
& c3_1(a187)
& ~ c1_1(a187)
& ~ c8_1(a187) )
| ( ndr1_0
& ~ c3_1(a188)
& ~ c9_1(a188)
& ! [X187] :
( ndr1_1(a188)
=> ( c7_2(a188,X187)
| ~ c2_2(a188,X187)
| ~ c8_2(a188,X187) ) ) ) )
& ( ! [X188] :
( ndr1_0
=> ( c3_1(X188)
| ! [X189] :
( ndr1_1(X188)
=> ( c5_2(X188,X189)
| ~ c2_2(X188,X189)
| ~ c9_2(X188,X189) ) )
| ! [X190] :
( ndr1_1(X188)
=> ( c9_2(X188,X190)
| ~ c4_2(X188,X190)
| ~ c6_2(X188,X190) ) ) ) )
| ( ndr1_0
& c2_1(a189)
& ndr1_1(a189)
& c2_2(a189,a190)
& c4_2(a189,a190)
& ~ c1_2(a189,a190)
& ndr1_1(a189)
& c2_2(a189,a191)
& c8_2(a189,a191)
& ~ c1_2(a189,a191) )
| ( ndr1_0
& c3_1(a192)
& c7_1(a192)
& ndr1_1(a192)
& c9_2(a192,a193)
& ~ c3_2(a192,a193)
& ~ c7_2(a192,a193) ) )
& ( ! [X191] :
( ndr1_0
=> ( c6_1(X191)
| ! [X192] :
( ndr1_1(X191)
=> ( c1_2(X191,X192)
| c5_2(X191,X192)
| ~ c10_2(X191,X192) ) ) ) )
| ( ndr1_0
& ~ c2_1(a194)
& ~ c9_1(a194)
& ! [X193] :
( ndr1_1(a194)
=> ( c8_2(a194,X193)
| ~ c1_2(a194,X193)
| ~ c7_2(a194,X193) ) ) )
| ( ndr1_0
& ! [X194] :
( ndr1_1(a195)
=> ( ~ c1_2(a195,X194)
| ~ c2_2(a195,X194)
| ~ c4_2(a195,X194) ) )
& ndr1_1(a195)
& ~ c2_2(a195,a196)
& ~ c8_2(a195,a196)
& ndr1_1(a195)
& ~ c4_2(a195,a197)
& ~ c7_2(a195,a197)
& ~ c9_2(a195,a197) ) )
& ( ! [X195] :
( ndr1_0
=> ( ~ c1_1(X195)
| ! [X196] :
( ndr1_1(X195)
=> ( c8_2(X195,X196)
| ~ c5_2(X195,X196)
| ~ c7_2(X195,X196) ) )
| ( ndr1_1(X195)
& c1_2(X195,a198)
& c4_2(X195,a198)
& ~ c2_2(X195,a198) ) ) )
| ( ndr1_0
& c4_1(a199)
& ~ c9_1(a199)
& ! [X197] :
( ndr1_1(a199)
=> ( c7_2(a199,X197)
| ~ c3_2(a199,X197)
| ~ c4_2(a199,X197) ) ) )
| ( ndr1_0
& c8_1(a200)
& ! [X198] :
( ndr1_1(a200)
=> ( c5_2(a200,X198)
| ~ c3_2(a200,X198)
| ~ c9_2(a200,X198) ) )
& ! [X199] :
( ndr1_1(a200)
=> ( c7_2(a200,X199)
| c9_2(a200,X199)
| ~ c3_2(a200,X199) ) ) ) )
& ( ! [X200] :
( ndr1_0
=> ( ~ c5_1(X200)
| ~ c9_1(X200)
| ! [X201] :
( ndr1_1(X200)
=> ( c5_2(X200,X201)
| ~ c10_2(X200,X201)
| ~ c8_2(X200,X201) ) ) ) )
| ! [X202] :
( ndr1_0
=> ( ~ c9_1(X202)
| ! [X203] :
( ndr1_1(X202)
=> ( c2_2(X202,X203)
| c5_2(X202,X203) ) )
| ! [X204] :
( ndr1_1(X202)
=> ( c2_2(X202,X204)
| ~ c10_2(X202,X204)
| ~ c6_2(X202,X204) ) ) ) )
| ( ndr1_0
& ndr1_1(a201)
& c1_2(a201,a202)
& ~ c3_2(a201,a202)
& ~ c9_2(a201,a202)
& ndr1_1(a201)
& c3_2(a201,a203)
& c9_2(a201,a203)
& ~ c7_2(a201,a203) ) )
& ( ! [X205] :
( ndr1_0
=> ( ~ c7_1(X205)
| ! [X206] :
( ndr1_1(X205)
=> ( c1_2(X205,X206)
| ~ c3_2(X205,X206)
| ~ c4_2(X205,X206) ) )
| ( ndr1_1(X205)
& c4_2(X205,a204)
& c8_2(X205,a204) ) ) )
| ( ndr1_0
& c10_1(a205)
& c2_1(a205) )
| ( ndr1_0
& ~ c1_1(a206)
& ! [X207] :
( ndr1_1(a206)
=> ( c1_2(a206,X207)
| c3_2(a206,X207)
| ~ c7_2(a206,X207) ) )
& ndr1_1(a206)
& c6_2(a206,a207)
& ~ c8_2(a206,a207) ) )
& ( ! [X208] :
( ndr1_0
=> ( ! [X209] :
( ndr1_1(X208)
=> ( c9_2(X208,X209)
| ~ c6_2(X208,X209)
| ~ c8_2(X208,X209) ) )
| ( ndr1_1(X208)
& c2_2(X208,a208)
& c4_2(X208,a208)
& c9_2(X208,a208) )
| ( ndr1_1(X208)
& c3_2(X208,a209)
& c5_2(X208,a209)
& ~ c10_2(X208,a209) ) ) )
| ( ndr1_0
& c9_1(a210)
& ndr1_1(a210)
& c10_2(a210,a211)
& c5_2(a210,a211)
& ~ c3_2(a210,a211)
& ndr1_1(a210)
& c8_2(a210,a212)
& ~ c10_2(a210,a212)
& ~ c4_2(a210,a212) ) )
& ( ( ndr1_0
& c8_1(a213)
& ! [X210] :
( ndr1_1(a213)
=> ( c7_2(a213,X210)
| ~ c2_2(a213,X210)
| ~ c8_2(a213,X210) ) )
& ndr1_1(a213)
& ~ c1_2(a213,a214)
& ~ c6_2(a213,a214)
& ~ c8_2(a213,a214) )
| ( ndr1_0
& ~ c9_1(a215)
& ndr1_1(a215)
& ~ c1_2(a215,a216)
& ~ c5_2(a215,a216)
& ~ c9_2(a215,a216)
& ndr1_1(a215)
& ~ c6_2(a215,a217)
& ~ c7_2(a215,a217) ) ) ) ).
%--------------------------------------------------------------------------